id	sid	tid	token	lemma	pos
ejpam-5404	1	1	european	european	PROPN
ejpam-5404	1	2	journal	journal	PROPN
ejpam-5404	1	3	of	of	ADP
ejpam-5404	1	4	pure	pure	ADJ
ejpam-5404	1	5	and	and	CCONJ
ejpam-5404	1	6	applied	applied	ADJ
ejpam-5404	1	7	mathematics	mathematic	NOUN
ejpam-5404	1	8	2025	2025	NUM
ejpam-5404	1	9	,	,	PUNCT
ejpam-5404	1	10	vol	vol	NOUN
ejpam-5404	1	11	.	.	PROPN
ejpam-5404	1	12	18	18	NUM
ejpam-5404	1	13	,	,	PUNCT
ejpam-5404	1	14	issue	issue	NOUN
ejpam-5404	1	15	1	1	NUM
ejpam-5404	1	16	,	,	PUNCT
ejpam-5404	1	17	article	article	NOUN
ejpam-5404	1	18	number	number	NOUN
ejpam-5404	1	19	5404	5404	NUM
ejpam-5404	1	20	issn	issn	VERB
ejpam-5404	1	21	1307	1307	NUM
ejpam-5404	1	22	-	-	SYM
ejpam-5404	1	23	5543	5543	NUM
ejpam-5404	1	24	–	–	PUNCT
ejpam-5404	1	25	ejpam.com	ejpam.com	X
ejpam-5404	1	26	published	publish	VERB
ejpam-5404	1	27	by	by	ADP
ejpam-5404	1	28	new	new	PROPN
ejpam-5404	1	29	york	york	PROPN
ejpam-5404	1	30	business	business	PROPN
ejpam-5404	1	31	global	global	ADJ
ejpam-5404	1	32	statistical	statistical	ADJ
ejpam-5404	1	33	insights	insight	NOUN
ejpam-5404	1	34	into	into	ADP
ejpam-5404	1	35	stochastic	stochastic	ADJ
ejpam-5404	1	36	glucose	glucose	NOUN
ejpam-5404	1	37	-	-	PUNCT
ejpam-5404	1	38	insulin	insulin	NOUN
ejpam-5404	1	39	dynamics	dynamic	NOUN
ejpam-5404	1	40	:	:	PUNCT
ejpam-5404	1	41	modeling	model	VERB
ejpam-5404	1	42	insulin	insulin	NOUN
ejpam-5404	1	43	degradation	degradation	NOUN
ejpam-5404	1	44	with	with	ADP
ejpam-5404	1	45	the	the	DET
ejpam-5404	1	46	michaelis	michaeli	NOUN
ejpam-5404	1	47	-	-	PUNCT
ejpam-5404	1	48	menten	menten	ADJ
ejpam-5404	1	49	function	function	NOUN
ejpam-5404	1	50	salem	salem	PROPN
ejpam-5404	1	51	mubarak	mubarak	PROPN
ejpam-5404	1	52	alzahrani	alzahrani	PROPN
ejpam-5404	1	53	mathematics	mathematics	PROPN
ejpam-5404	1	54	department	department	PROPN
ejpam-5404	1	55	,	,	PUNCT
ejpam-5404	1	56	faculty	faculty	NOUN
ejpam-5404	1	57	of	of	ADP
ejpam-5404	1	58	science	science	NOUN
ejpam-5404	1	59	,	,	PUNCT
ejpam-5404	1	60	al	al	PROPN
ejpam-5404	1	61	-	-	PUNCT
ejpam-5404	1	62	baha	baha	PROPN
ejpam-5404	1	63	university	university	PROPN
ejpam-5404	1	64	,	,	PUNCT
ejpam-5404	1	65	saudi	saudi	PROPN
ejpam-5404	1	66	arabia	arabia	PROPN
ejpam-5404	1	67	abstract	abstract	NOUN
ejpam-5404	1	68	.	.	PUNCT
ejpam-5404	2	1	in	in	ADP
ejpam-5404	2	2	this	this	DET
ejpam-5404	2	3	study	study	NOUN
ejpam-5404	2	4	,	,	PUNCT
ejpam-5404	2	5	a	a	DET
ejpam-5404	2	6	glucose	glucose	NOUN
ejpam-5404	2	7	-	-	PUNCT
ejpam-5404	2	8	insulin	insulin	NOUN
ejpam-5404	2	9	model	model	NOUN
ejpam-5404	2	10	with	with	ADP
ejpam-5404	2	11	the	the	DET
ejpam-5404	2	12	michaelis	michaeli	NOUN
ejpam-5404	2	13	-	-	PUNCT
ejpam-5404	2	14	menten	menten	ADJ
ejpam-5404	2	15	function	function	NOUN
ejpam-5404	2	16	as	as	SCONJ
ejpam-5404	2	17	the	the	DET
ejpam-5404	2	18	rate	rate	NOUN
ejpam-5404	2	19	of	of	ADP
ejpam-5404	2	20	insulin	insulin	NOUN
ejpam-5404	2	21	degradation	degradation	NOUN
ejpam-5404	2	22	is	be	AUX
ejpam-5404	2	23	analyzed	analyze	VERB
ejpam-5404	2	24	using	use	VERB
ejpam-5404	2	25	stochastic	stochastic	ADJ
ejpam-5404	2	26	differential	differential	ADJ
ejpam-5404	2	27	equations	equation	NOUN
ejpam-5404	2	28	.	.	PUNCT
ejpam-5404	3	1	further	far	ADV
ejpam-5404	3	2	,	,	PUNCT
ejpam-5404	3	3	we	we	PRON
ejpam-5404	3	4	solve	solve	VERB
ejpam-5404	3	5	the	the	DET
ejpam-5404	3	6	stochastic	stochastic	ADJ
ejpam-5404	3	7	glucose	glucose	NOUN
ejpam-5404	3	8	-	-	PUNCT
ejpam-5404	3	9	insulin	insulin	NOUN
ejpam-5404	3	10	model	model	NOUN
ejpam-5404	3	11	using	use	VERB
ejpam-5404	3	12	the	the	DET
ejpam-5404	3	13	milstein	milstein	ADJ
ejpam-5404	3	14	method	method	NOUN
ejpam-5404	3	15	,	,	PUNCT
ejpam-5404	3	16	which	which	PRON
ejpam-5404	3	17	is	be	AUX
ejpam-5404	3	18	based	base	VERB
ejpam-5404	3	19	on	on	ADP
ejpam-5404	3	20	truncated	truncated	ADJ
ejpam-5404	3	21	ito	ito	PROPN
ejpam-5404	3	22	-	-	PROPN
ejpam-5404	3	23	taylor	taylor	PROPN
ejpam-5404	3	24	expansions	expansion	NOUN
ejpam-5404	3	25	.	.	PUNCT
ejpam-5404	4	1	comparison	comparison	NOUN
ejpam-5404	4	2	of	of	ADP
ejpam-5404	4	3	the	the	DET
ejpam-5404	4	4	approximation	approximation	NOUN
ejpam-5404	4	5	solution	solution	NOUN
ejpam-5404	4	6	of	of	ADP
ejpam-5404	4	7	a	a	DET
ejpam-5404	4	8	stochastic	stochastic	ADJ
ejpam-5404	4	9	and	and	CCONJ
ejpam-5404	4	10	deterministic	deterministic	ADJ
ejpam-5404	4	11	model	model	NOUN
ejpam-5404	4	12	is	be	AUX
ejpam-5404	4	13	illustrated	illustrate	VERB
ejpam-5404	4	14	by	by	ADP
ejpam-5404	4	15	comparing	compare	VERB
ejpam-5404	4	16	the	the	DET
ejpam-5404	4	17	approximation	approximation	NOUN
ejpam-5404	4	18	solution	solution	NOUN
ejpam-5404	4	19	with	with	ADP
ejpam-5404	4	20	the	the	DET
ejpam-5404	4	21	deterministic	deterministic	ADJ
ejpam-5404	4	22	model	model	NOUN
ejpam-5404	4	23	.	.	PUNCT
ejpam-5404	5	1	a	a	DET
ejpam-5404	5	2	stochastic	stochastic	ADJ
ejpam-5404	5	3	model	model	NOUN
ejpam-5404	5	4	allows	allow	VERB
ejpam-5404	5	5	random	random	ADJ
ejpam-5404	5	6	fluctuations	fluctuation	NOUN
ejpam-5404	5	7	in	in	ADP
ejpam-5404	5	8	glucose	glucose	NOUN
ejpam-5404	5	9	-	-	PUNCT
ejpam-5404	5	10	insulin	insulin	NOUN
ejpam-5404	5	11	diseases	disease	NOUN
ejpam-5404	5	12	.	.	PUNCT
ejpam-5404	6	1	furthermore	furthermore	ADV
ejpam-5404	6	2	,	,	PUNCT
ejpam-5404	6	3	the	the	DET
ejpam-5404	6	4	stochastic	stochastic	ADJ
ejpam-5404	6	5	glucose	glucose	NOUN
ejpam-5404	6	6	-	-	PUNCT
ejpam-5404	6	7	insulin	insulin	NOUN
ejpam-5404	6	8	model	model	NOUN
ejpam-5404	6	9	’s	’s	PART
ejpam-5404	6	10	numerical	numerical	ADJ
ejpam-5404	6	11	solution	solution	NOUN
ejpam-5404	6	12	provides	provide	VERB
ejpam-5404	6	13	insight	insight	NOUN
ejpam-5404	6	14	into	into	ADP
ejpam-5404	6	15	its	its	PRON
ejpam-5404	6	16	variability	variability	NOUN
ejpam-5404	6	17	.	.	PUNCT
ejpam-5404	7	1	the	the	DET
ejpam-5404	7	2	model	model	NOUN
ejpam-5404	7	3	predicts	predict	VERB
ejpam-5404	7	4	glucose	glucose	NOUN
ejpam-5404	7	5	-	-	PUNCT
ejpam-5404	7	6	insulin	insulin	NOUN
ejpam-5404	7	7	dynamics	dynamic	NOUN
ejpam-5404	7	8	accurately	accurately	ADV
ejpam-5404	7	9	,	,	PUNCT
ejpam-5404	7	10	which	which	PRON
ejpam-5404	7	11	is	be	AUX
ejpam-5404	7	12	a	a	DET
ejpam-5404	7	13	powerful	powerful	ADJ
ejpam-5404	7	14	tool	tool	NOUN
ejpam-5404	7	15	for	for	ADP
ejpam-5404	7	16	managing	manage	VERB
ejpam-5404	7	17	diabetes	diabete	NOUN
ejpam-5404	7	18	.	.	PUNCT
ejpam-5404	8	1	analytical	analytical	ADJ
ejpam-5404	8	2	and	and	CCONJ
ejpam-5404	8	3	simulation	simulation	NOUN
ejpam-5404	8	4	results	result	NOUN
ejpam-5404	8	5	are	be	AUX
ejpam-5404	8	6	consistent	consistent	ADJ
ejpam-5404	8	7	.	.	PUNCT
ejpam-5404	9	1	improved	improve	VERB
ejpam-5404	9	2	treatment	treatment	NOUN
ejpam-5404	9	3	strategies	strategy	NOUN
ejpam-5404	9	4	and	and	CCONJ
ejpam-5404	9	5	personalized	personalized	ADJ
ejpam-5404	9	6	medical	medical	ADJ
ejpam-5404	9	7	interventions	intervention	NOUN
ejpam-5404	9	8	could	could	AUX
ejpam-5404	9	9	result	result	VERB
ejpam-5404	9	10	.	.	PUNCT
ejpam-5404	10	1	treatments	treatment	NOUN
ejpam-5404	10	2	and	and	CCONJ
ejpam-5404	10	3	insulin	insulin	NOUN
ejpam-5404	10	4	injections	injection	NOUN
ejpam-5404	10	5	are	be	AUX
ejpam-5404	10	6	sensitive	sensitive	ADJ
ejpam-5404	10	7	to	to	ADP
ejpam-5404	10	8	these	these	DET
ejpam-5404	10	9	parameters	parameter	NOUN
ejpam-5404	10	10	.	.	PUNCT
ejpam-5404	11	1	numerical	numerical	PROPN
ejpam-5404	11	2	simulation	simulation	PROPN
ejpam-5404	11	3	corroborates	corroborate	VERB
ejpam-5404	11	4	theoretical	theoretical	ADJ
ejpam-5404	11	5	results	result	NOUN
ejpam-5404	11	6	.	.	PUNCT
ejpam-5404	12	1	2020	2020	NUM
ejpam-5404	12	2	mathematics	mathematic	NOUN
ejpam-5404	12	3	subject	subject	NOUN
ejpam-5404	12	4	classifications	classification	NOUN
ejpam-5404	12	5	:	:	PUNCT
ejpam-5404	12	6	34l99	34l99	NUM
ejpam-5404	12	7	key	key	ADJ
ejpam-5404	12	8	words	word	NOUN
ejpam-5404	12	9	and	and	CCONJ
ejpam-5404	12	10	phrases	phrase	NOUN
ejpam-5404	12	11	:	:	PUNCT
ejpam-5404	12	12	statistical	statistical	ADJ
ejpam-5404	12	13	insights	insight	NOUN
ejpam-5404	12	14	,	,	PUNCT
ejpam-5404	12	15	stochastic	stochastic	ADJ
ejpam-5404	12	16	glucose	glucose	NOUN
ejpam-5404	12	17	-	-	PUNCT
ejpam-5404	12	18	insulin	insulin	NOUN
ejpam-5404	12	19	dynamics	dynamic	NOUN
ejpam-5404	12	20	,	,	PUNCT
ejpam-5404	12	21	modeling	model	VERB
ejpam-5404	12	22	insulin	insulin	NOUN
ejpam-5404	12	23	degradation	degradation	NOUN
ejpam-5404	12	24	,	,	PUNCT
ejpam-5404	12	25	michaelis	michaeli	NOUN
ejpam-5404	12	26	-	-	PUNCT
ejpam-5404	12	27	menten	menten	ADJ
ejpam-5404	12	28	function	function	NOUN
ejpam-5404	12	29	1	1	NUM
ejpam-5404	12	30	.	.	PUNCT
ejpam-5404	13	1	introduction	introduction	NOUN
ejpam-5404	13	2	understanding	understand	VERB
ejpam-5404	13	3	glucose	glucose	NOUN
ejpam-5404	13	4	-	-	PUNCT
ejpam-5404	13	5	insulin	insulin	NOUN
ejpam-5404	13	6	interactions	interaction	NOUN
ejpam-5404	13	7	is	be	AUX
ejpam-5404	13	8	critical	critical	ADJ
ejpam-5404	13	9	in	in	ADP
ejpam-5404	13	10	the	the	DET
ejpam-5404	13	11	context	context	NOUN
ejpam-5404	13	12	of	of	ADP
ejpam-5404	13	13	diabetes	diabetes	NOUN
ejpam-5404	13	14	,	,	PUNCT
ejpam-5404	13	15	a	a	DET
ejpam-5404	13	16	chronic	chronic	ADJ
ejpam-5404	13	17	metabolic	metabolic	NOUN
ejpam-5404	13	18	disorder	disorder	NOUN
ejpam-5404	13	19	that	that	PRON
ejpam-5404	13	20	results	result	VERB
ejpam-5404	13	21	from	from	ADP
ejpam-5404	13	22	the	the	DET
ejpam-5404	13	23	body	body	NOUN
ejpam-5404	13	24	’s	’s	PART
ejpam-5404	13	25	inability	inability	NOUN
ejpam-5404	13	26	to	to	PART
ejpam-5404	13	27	regulate	regulate	VERB
ejpam-5404	13	28	blood	blood	NOUN
ejpam-5404	13	29	glucose	glucose	NOUN
ejpam-5404	13	30	levels	level	NOUN
ejpam-5404	13	31	.	.	PUNCT
ejpam-5404	14	1	diabetes	diabetes	NOUN
ejpam-5404	14	2	can	can	AUX
ejpam-5404	14	3	lead	lead	VERB
ejpam-5404	14	4	to	to	ADP
ejpam-5404	14	5	severe	severe	ADJ
ejpam-5404	14	6	health	health	NOUN
ejpam-5404	14	7	complications	complication	NOUN
ejpam-5404	14	8	,	,	PUNCT
ejpam-5404	14	9	such	such	ADJ
ejpam-5404	14	10	as	as	ADP
ejpam-5404	14	11	cardiovascular	cardiovascular	ADJ
ejpam-5404	14	12	disease	disease	NOUN
ejpam-5404	14	13	,	,	PUNCT
ejpam-5404	14	14	nerve	nerve	NOUN
ejpam-5404	14	15	damage	damage	NOUN
ejpam-5404	14	16	,	,	PUNCT
ejpam-5404	14	17	and	and	CCONJ
ejpam-5404	14	18	kidney	kidney	NOUN
ejpam-5404	14	19	failure	failure	NOUN
ejpam-5404	14	20	,	,	PUNCT
ejpam-5404	14	21	if	if	SCONJ
ejpam-5404	14	22	not	not	PART
ejpam-5404	14	23	properly	properly	ADV
ejpam-5404	14	24	managed	manage	VERB
ejpam-5404	14	25	.	.	PUNCT
ejpam-5404	15	1	mathematical	mathematical	ADJ
ejpam-5404	15	2	modeling	modeling	NOUN
ejpam-5404	15	3	has	have	AUX
ejpam-5404	15	4	become	become	VERB
ejpam-5404	15	5	an	an	DET
ejpam-5404	15	6	invaluable	invaluable	ADJ
ejpam-5404	15	7	tool	tool	NOUN
ejpam-5404	15	8	for	for	ADP
ejpam-5404	15	9	analyzing	analyze	VERB
ejpam-5404	15	10	the	the	DET
ejpam-5404	15	11	complex	complex	ADJ
ejpam-5404	15	12	dynamics	dynamic	NOUN
ejpam-5404	15	13	between	between	ADP
ejpam-5404	15	14	glucose	glucose	NOUN
ejpam-5404	15	15	and	and	CCONJ
ejpam-5404	15	16	insulin	insulin	NOUN
ejpam-5404	15	17	,	,	PUNCT
ejpam-5404	15	18	aiding	aid	VERB
ejpam-5404	15	19	in	in	ADP
ejpam-5404	15	20	the	the	DET
ejpam-5404	15	21	design	design	NOUN
ejpam-5404	15	22	of	of	ADP
ejpam-5404	15	23	effective	effective	ADJ
ejpam-5404	15	24	treatment	treatment	NOUN
ejpam-5404	15	25	strategies	strategy	NOUN
ejpam-5404	15	26	.	.	PUNCT
ejpam-5404	16	1	traditional	traditional	ADJ
ejpam-5404	16	2	models	model	NOUN
ejpam-5404	16	3	have	have	AUX
ejpam-5404	16	4	typically	typically	ADV
ejpam-5404	16	5	used	use	VERB
ejpam-5404	16	6	deterministic	deterministic	ADJ
ejpam-5404	16	7	approaches	approach	NOUN
ejpam-5404	16	8	to	to	PART
ejpam-5404	16	9	simulate	simulate	VERB
ejpam-5404	16	10	these	these	DET
ejpam-5404	16	11	interactions	interaction	NOUN
ejpam-5404	16	12	,	,	PUNCT
ejpam-5404	16	13	though	though	SCONJ
ejpam-5404	16	14	they	they	PRON
ejpam-5404	16	15	often	often	ADV
ejpam-5404	16	16	fail	fail	VERB
ejpam-5404	16	17	to	to	PART
ejpam-5404	16	18	account	account	VERB
ejpam-5404	16	19	for	for	ADP
ejpam-5404	16	20	the	the	DET
ejpam-5404	16	21	inherent	inherent	ADJ
ejpam-5404	16	22	variability	variability	NOUN
ejpam-5404	16	23	and	and	CCONJ
ejpam-5404	16	24	random	random	ADJ
ejpam-5404	16	25	fluctuations	fluctuation	NOUN
ejpam-5404	16	26	in	in	ADP
ejpam-5404	16	27	biological	biological	ADJ
ejpam-5404	16	28	systems	system	NOUN
ejpam-5404	17	1	[	[	X
ejpam-5404	17	2	9	9	NUM
ejpam-5404	17	3	]	]	PUNCT
ejpam-5404	17	4	,	,	PUNCT
ejpam-5404	17	5	[	[	X
ejpam-5404	17	6	7	7	NUM
ejpam-5404	17	7	]	]	PUNCT
ejpam-5404	17	8	.	.	PUNCT
ejpam-5404	18	1	to	to	PART
ejpam-5404	18	2	address	address	VERB
ejpam-5404	18	3	this	this	DET
ejpam-5404	18	4	limitation	limitation	NOUN
ejpam-5404	18	5	,	,	PUNCT
ejpam-5404	18	6	stochastic	stochastic	NOUN
ejpam-5404	18	7	models	model	NOUN
ejpam-5404	18	8	incorporating	incorporate	VERB
ejpam-5404	18	9	randomness	randomness	NOUN
ejpam-5404	18	10	have	have	AUX
ejpam-5404	18	11	been	be	AUX
ejpam-5404	18	12	introduced	introduce	VERB
ejpam-5404	18	13	,	,	PUNCT
ejpam-5404	18	14	offering	offer	VERB
ejpam-5404	18	15	a	a	DET
ejpam-5404	18	16	more	more	ADV
ejpam-5404	18	17	realistic	realistic	ADJ
ejpam-5404	18	18	representation	representation	NOUN
ejpam-5404	18	19	of	of	ADP
ejpam-5404	18	20	glucose	glucose	NOUN
ejpam-5404	18	21	-	-	PUNCT
ejpam-5404	18	22	insulin	insulin	NOUN
ejpam-5404	18	23	dynamics	dynamic	NOUN
ejpam-5404	18	24	in	in	ADP
ejpam-5404	18	25	diabetic	diabetic	ADJ
ejpam-5404	18	26	patients	patient	NOUN
ejpam-5404	19	1	[	[	X
ejpam-5404	19	2	1–4	1–4	NUM
ejpam-5404	19	3	,	,	PUNCT
ejpam-5404	19	4	9	9	NUM
ejpam-5404	19	5	,	,	PUNCT
ejpam-5404	19	6	17	17	NUM
ejpam-5404	19	7	,	,	PUNCT
ejpam-5404	19	8	17	17	NUM
ejpam-5404	19	9	,	,	PUNCT
ejpam-5404	19	10	18	18	NUM
ejpam-5404	19	11	,	,	PUNCT
ejpam-5404	19	12	18	18	NUM
ejpam-5404	19	13	,	,	PUNCT
ejpam-5404	19	14	21	21	NUM
ejpam-5404	19	15	,	,	PUNCT
ejpam-5404	19	16	24–27	24–27	NUM
ejpam-5404	19	17	,	,	PUNCT
ejpam-5404	19	18	29–31	29–31	PROPN
ejpam-5404	19	19	]	]	PUNCT
ejpam-5404	19	20	.	.	PUNCT
ejpam-5404	20	1	doi	doi	NOUN
ejpam-5404	20	2	:	:	PUNCT
ejpam-5404	20	3	https://doi.org/10.29020/nybg.ejpam.v18i1.5404	https://doi.org/10.29020/nybg.ejpam.v18i1.5404	PROPN
ejpam-5404	20	4	email	email	NOUN
ejpam-5404	20	5	address	address	NOUN
ejpam-5404	20	6	:	:	PUNCT
ejpam-5404	20	7	salemalzahrani@bu.edu.sa	salemalzahrani@bu.edu.sa	PROPN
ejpam-5404	20	8	(	(	PUNCT
ejpam-5404	20	9	s.	s.	PROPN
ejpam-5404	20	10	m.	m.	PROPN
ejpam-5404	20	11	alzahrani	alzahrani	PROPN
ejpam-5404	20	12	)	)	PUNCT
ejpam-5404	20	13	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5404	21	1	1	1	NUM
ejpam-5404	21	2	copyright	copyright	NOUN
ejpam-5404	21	3	:	:	PUNCT
ejpam-5404	21	4	©	©	PROPN
ejpam-5404	21	5	2025	2025	NUM
ejpam-5404	21	6	the	the	DET
ejpam-5404	21	7	author(s	author(s	NOUN
ejpam-5404	21	8	)	)	PUNCT
ejpam-5404	21	9	.	.	PUNCT
ejpam-5404	22	1	(	(	PUNCT
ejpam-5404	22	2	cc	cc	NOUN
ejpam-5404	22	3	by	by	ADP
ejpam-5404	22	4	-	-	PUNCT
ejpam-5404	22	5	nc	nc	PROPN
ejpam-5404	22	6	4.0	4.0	NUM
ejpam-5404	22	7	)	)	PUNCT
ejpam-5404	22	8	s.	s.	PROPN
ejpam-5404	22	9	m.	m.	PROPN
ejpam-5404	22	10	alzahrani	alzahrani	PROPN
ejpam-5404	22	11	/	/	SYM
ejpam-5404	22	12	eur	eur	PROPN
ejpam-5404	22	13	.	.	PUNCT
ejpam-5404	23	1	j.	j.	PROPN
ejpam-5404	23	2	pure	pure	PROPN
ejpam-5404	23	3	appl	appl	PROPN
ejpam-5404	23	4	.	.	PROPN
ejpam-5404	23	5	math	math	PROPN
ejpam-5404	23	6	,	,	PUNCT
ejpam-5404	23	7	18	18	NUM
ejpam-5404	23	8	(	(	PUNCT
ejpam-5404	23	9	1	1	NUM
ejpam-5404	23	10	)	)	PUNCT
ejpam-5404	23	11	(	(	PUNCT
ejpam-5404	23	12	2025	2025	NUM
ejpam-5404	23	13	)	)	PUNCT
ejpam-5404	23	14	,	,	PUNCT
ejpam-5404	23	15	5404	5404	NUM
ejpam-5404	23	16	2	2	NUM
ejpam-5404	23	17	of	of	ADP
ejpam-5404	23	18	22	22	NUM
ejpam-5404	23	19	in	in	ADP
ejpam-5404	23	20	recent	recent	ADJ
ejpam-5404	23	21	years	year	NOUN
ejpam-5404	23	22	,	,	PUNCT
ejpam-5404	23	23	researchers	researcher	NOUN
ejpam-5404	23	24	have	have	AUX
ejpam-5404	23	25	utilized	utilize	VERB
ejpam-5404	23	26	stochastic	stochastic	ADJ
ejpam-5404	23	27	differential	differential	ADJ
ejpam-5404	23	28	equations	equation	NOUN
ejpam-5404	23	29	(	(	PUNCT
ejpam-5404	23	30	sdes	sde	NOUN
ejpam-5404	23	31	)	)	PUNCT
ejpam-5404	23	32	to	to	PART
ejpam-5404	23	33	better	well	ADV
ejpam-5404	23	34	capture	capture	VERB
ejpam-5404	23	35	the	the	DET
ejpam-5404	23	36	variability	variability	NOUN
ejpam-5404	23	37	of	of	ADP
ejpam-5404	23	38	glucose	glucose	NOUN
ejpam-5404	23	39	and	and	CCONJ
ejpam-5404	23	40	insulin	insulin	NOUN
ejpam-5404	23	41	levels	level	NOUN
ejpam-5404	23	42	in	in	ADP
ejpam-5404	23	43	response	response	NOUN
ejpam-5404	23	44	to	to	ADP
ejpam-5404	23	45	both	both	CCONJ
ejpam-5404	23	46	intrinsic	intrinsic	ADJ
ejpam-5404	23	47	and	and	CCONJ
ejpam-5404	23	48	extrinsic	extrinsic	ADJ
ejpam-5404	23	49	factors	factor	NOUN
ejpam-5404	23	50	.	.	PUNCT
ejpam-5404	24	1	the	the	DET
ejpam-5404	24	2	michaelis	michaelis	ADJ
ejpam-5404	24	3	-	-	PUNCT
ejpam-5404	24	4	menten	menten	ADJ
ejpam-5404	24	5	function	function	NOUN
ejpam-5404	24	6	,	,	PUNCT
ejpam-5404	24	7	frequently	frequently	ADV
ejpam-5404	24	8	employed	employ	VERB
ejpam-5404	24	9	in	in	ADP
ejpam-5404	24	10	enzyme	enzyme	NOUN
ejpam-5404	24	11	kinetics	kinetic	NOUN
ejpam-5404	24	12	,	,	PUNCT
ejpam-5404	24	13	is	be	AUX
ejpam-5404	24	14	particularly	particularly	ADV
ejpam-5404	24	15	suitable	suitable	ADJ
ejpam-5404	24	16	for	for	ADP
ejpam-5404	24	17	modeling	model	VERB
ejpam-5404	24	18	the	the	DET
ejpam-5404	24	19	nonlinear	nonlinear	ADJ
ejpam-5404	24	20	degradation	degradation	NOUN
ejpam-5404	24	21	rate	rate	NOUN
ejpam-5404	24	22	of	of	ADP
ejpam-5404	24	23	insulin	insulin	NOUN
ejpam-5404	24	24	,	,	PUNCT
ejpam-5404	24	25	providing	provide	VERB
ejpam-5404	24	26	a	a	DET
ejpam-5404	24	27	more	more	ADV
ejpam-5404	24	28	nuanced	nuanced	ADJ
ejpam-5404	24	29	understanding	understanding	NOUN
ejpam-5404	24	30	of	of	ADP
ejpam-5404	24	31	diabetes	diabetes	NOUN
ejpam-5404	24	32	pathogenesis	pathogenesis	NOUN
ejpam-5404	24	33	[	[	X
ejpam-5404	24	34	21	21	NUM
ejpam-5404	24	35	,	,	PUNCT
ejpam-5404	24	36	29	29	NUM
ejpam-5404	24	37	]	]	PUNCT
ejpam-5404	24	38	.	.	PUNCT
ejpam-5404	25	1	by	by	ADP
ejpam-5404	25	2	using	use	VERB
ejpam-5404	25	3	numerical	numerical	ADJ
ejpam-5404	25	4	techniques	technique	NOUN
ejpam-5404	25	5	such	such	ADJ
ejpam-5404	25	6	as	as	ADP
ejpam-5404	25	7	the	the	DET
ejpam-5404	25	8	milstein	milstein	ADJ
ejpam-5404	25	9	method	method	NOUN
ejpam-5404	25	10	to	to	PART
ejpam-5404	25	11	solve	solve	VERB
ejpam-5404	25	12	sdes	sde	NOUN
ejpam-5404	25	13	,	,	PUNCT
ejpam-5404	25	14	these	these	DET
ejpam-5404	25	15	models	model	NOUN
ejpam-5404	25	16	achieve	achieve	VERB
ejpam-5404	25	17	a	a	DET
ejpam-5404	25	18	high	high	ADJ
ejpam-5404	25	19	level	level	NOUN
ejpam-5404	25	20	of	of	ADP
ejpam-5404	25	21	accuracy	accuracy	NOUN
ejpam-5404	25	22	in	in	ADP
ejpam-5404	25	23	simulating	simulate	VERB
ejpam-5404	25	24	glucose	glucose	NOUN
ejpam-5404	25	25	-	-	PUNCT
ejpam-5404	25	26	insulin	insulin	NOUN
ejpam-5404	25	27	dynamics	dynamic	NOUN
ejpam-5404	25	28	[	[	X
ejpam-5404	25	29	14	14	NUM
ejpam-5404	25	30	,	,	PUNCT
ejpam-5404	25	31	16	16	NUM
ejpam-5404	25	32	]	]	PUNCT
ejpam-5404	25	33	.	.	PUNCT
ejpam-5404	26	1	this	this	DET
ejpam-5404	26	2	study	study	NOUN
ejpam-5404	26	3	introduces	introduce	VERB
ejpam-5404	26	4	a	a	DET
ejpam-5404	26	5	stochastic	stochastic	ADJ
ejpam-5404	26	6	model	model	NOUN
ejpam-5404	26	7	based	base	VERB
ejpam-5404	26	8	on	on	ADP
ejpam-5404	26	9	the	the	DET
ejpam-5404	26	10	michaelis	michaelis	ADJ
ejpam-5404	26	11	-	-	PUNCT
ejpam-5404	26	12	menten	menten	ADJ
ejpam-5404	26	13	function	function	NOUN
ejpam-5404	26	14	,	,	PUNCT
ejpam-5404	26	15	which	which	PRON
ejpam-5404	26	16	captures	capture	VERB
ejpam-5404	26	17	the	the	DET
ejpam-5404	26	18	complex	complex	ADJ
ejpam-5404	26	19	,	,	PUNCT
ejpam-5404	26	20	variable	variable	ADJ
ejpam-5404	26	21	nature	nature	NOUN
ejpam-5404	26	22	of	of	ADP
ejpam-5404	26	23	glucose	glucose	NOUN
ejpam-5404	26	24	-	-	PUNCT
ejpam-5404	26	25	insulin	insulin	NOUN
ejpam-5404	26	26	interactions	interaction	NOUN
ejpam-5404	26	27	,	,	PUNCT
ejpam-5404	26	28	aiming	aim	VERB
ejpam-5404	26	29	to	to	PART
ejpam-5404	26	30	advance	advance	VERB
ejpam-5404	26	31	personalized	personalized	ADJ
ejpam-5404	26	32	treatment	treatment	NOUN
ejpam-5404	26	33	strategies	strategy	NOUN
ejpam-5404	26	34	for	for	ADP
ejpam-5404	26	35	diabetes	diabetes	NOUN
ejpam-5404	26	36	management	management	NOUN
ejpam-5404	26	37	[	[	X
ejpam-5404	26	38	24	24	NUM
ejpam-5404	26	39	,	,	PUNCT
ejpam-5404	26	40	27	27	NUM
ejpam-5404	26	41	]	]	PUNCT
ejpam-5404	26	42	.	.	PUNCT
ejpam-5404	27	1	the	the	DET
ejpam-5404	27	2	model	model	NOUN
ejpam-5404	27	3	’s	’s	PART
ejpam-5404	27	4	validity	validity	NOUN
ejpam-5404	27	5	is	be	AUX
ejpam-5404	27	6	demonstrated	demonstrate	VERB
ejpam-5404	27	7	through	through	ADP
ejpam-5404	27	8	comparisons	comparison	NOUN
ejpam-5404	27	9	with	with	ADP
ejpam-5404	27	10	a	a	DET
ejpam-5404	27	11	deterministic	deterministic	ADJ
ejpam-5404	27	12	counterpart	counterpart	NOUN
ejpam-5404	27	13	,	,	PUNCT
ejpam-5404	27	14	underscoring	underscore	VERB
ejpam-5404	27	15	the	the	DET
ejpam-5404	27	16	importance	importance	NOUN
ejpam-5404	27	17	of	of	ADP
ejpam-5404	27	18	stochastic	stochastic	ADJ
ejpam-5404	27	19	modeling	modeling	NOUN
ejpam-5404	27	20	in	in	ADP
ejpam-5404	27	21	capturing	capture	VERB
ejpam-5404	27	22	biological	biological	ADJ
ejpam-5404	27	23	variability	variability	NOUN
ejpam-5404	27	24	[	[	X
ejpam-5404	27	25	11	11	NUM
ejpam-5404	27	26	,	,	PUNCT
ejpam-5404	27	27	31	31	NUM
ejpam-5404	27	28	]	]	PUNCT
ejpam-5404	27	29	.	.	PUNCT
ejpam-5404	28	1	diabetic	diabetic	ADJ
ejpam-5404	28	2	mellitus	mellitus	NOUN
ejpam-5404	28	3	is	be	AUX
ejpam-5404	28	4	a	a	DET
ejpam-5404	28	5	metabolic	metabolic	NOUN
ejpam-5404	28	6	disorder	disorder	NOUN
ejpam-5404	28	7	that	that	PRON
ejpam-5404	28	8	has	have	VERB
ejpam-5404	28	9	high	high	ADJ
ejpam-5404	28	10	blood	blood	NOUN
ejpam-5404	28	11	sugar	sugar	NOUN
ejpam-5404	28	12	levels	level	NOUN
ejpam-5404	28	13	all	all	DET
ejpam-5404	28	14	the	the	DET
ejpam-5404	28	15	time	time	NOUN
ejpam-5404	28	16	.	.	PUNCT
ejpam-5404	29	1	it	it	PRON
ejpam-5404	29	2	is	be	AUX
ejpam-5404	29	3	caused	cause	VERB
ejpam-5404	29	4	by	by	ADP
ejpam-5404	29	5	either	either	CCONJ
ejpam-5404	29	6	the	the	DET
ejpam-5404	29	7	pancreas	pancrea	NOUN
ejpam-5404	29	8	not	not	PART
ejpam-5404	29	9	producing	produce	VERB
ejpam-5404	29	10	enough	enough	ADJ
ejpam-5404	29	11	insulin	insulin	NOUN
ejpam-5404	29	12	or	or	CCONJ
ejpam-5404	29	13	the	the	DET
ejpam-5404	29	14	body	body	NOUN
ejpam-5404	29	15	’s	’s	PART
ejpam-5404	29	16	cells	cell	NOUN
ejpam-5404	29	17	not	not	PART
ejpam-5404	29	18	responding	respond	VERB
ejpam-5404	29	19	to	to	ADP
ejpam-5404	29	20	insulin	insulin	NOUN
ejpam-5404	29	21	.	.	PUNCT
ejpam-5404	30	1	without	without	ADP
ejpam-5404	30	2	proper	proper	ADJ
ejpam-5404	30	3	treatment	treatment	NOUN
ejpam-5404	30	4	,	,	PUNCT
ejpam-5404	30	5	diabetes	diabetes	NOUN
ejpam-5404	30	6	can	can	AUX
ejpam-5404	30	7	lead	lead	VERB
ejpam-5404	30	8	to	to	ADP
ejpam-5404	30	9	serious	serious	ADJ
ejpam-5404	30	10	health	health	NOUN
ejpam-5404	30	11	complications	complication	NOUN
ejpam-5404	30	12	.	.	PUNCT
ejpam-5404	31	1	this	this	PRON
ejpam-5404	31	2	leads	lead	VERB
ejpam-5404	31	3	to	to	ADP
ejpam-5404	31	4	serious	serious	ADJ
ejpam-5404	31	5	health	health	NOUN
ejpam-5404	31	6	complications	complication	NOUN
ejpam-5404	31	7	such	such	ADJ
ejpam-5404	31	8	as	as	ADP
ejpam-5404	31	9	cardiovascular	cardiovascular	ADJ
ejpam-5404	31	10	diseases	disease	NOUN
ejpam-5404	31	11	,	,	PUNCT
ejpam-5404	31	12	nerve	nerve	NOUN
ejpam-5404	31	13	damage	damage	NOUN
ejpam-5404	31	14	,	,	PUNCT
ejpam-5404	31	15	kidney	kidney	NOUN
ejpam-5404	31	16	failure	failure	NOUN
ejpam-5404	31	17	,	,	PUNCT
ejpam-5404	31	18	and	and	CCONJ
ejpam-5404	31	19	blindness	blindness	NOUN
ejpam-5404	31	20	.	.	PUNCT
ejpam-5404	32	1	it	it	PRON
ejpam-5404	32	2	arises	arise	VERB
ejpam-5404	32	3	either	either	CCONJ
ejpam-5404	32	4	due	due	ADP
ejpam-5404	32	5	to	to	ADP
ejpam-5404	32	6	the	the	DET
ejpam-5404	32	7	body	body	NOUN
ejpam-5404	32	8	’s	’s	PART
ejpam-5404	32	9	inability	inability	NOUN
ejpam-5404	32	10	to	to	PART
ejpam-5404	32	11	produce	produce	VERB
ejpam-5404	32	12	sufficient	sufficient	ADJ
ejpam-5404	32	13	insulin	insulin	NOUN
ejpam-5404	32	14	(	(	PUNCT
ejpam-5404	32	15	type	type	NOUN
ejpam-5404	32	16	1	1	NUM
ejpam-5404	32	17	diabetes	diabetes	NOUN
ejpam-5404	32	18	)	)	PUNCT
ejpam-5404	32	19	or	or	CCONJ
ejpam-5404	32	20	due	due	ADP
ejpam-5404	32	21	to	to	ADP
ejpam-5404	32	22	the	the	DET
ejpam-5404	32	23	ineffective	ineffective	ADJ
ejpam-5404	32	24	use	use	NOUN
ejpam-5404	32	25	of	of	ADP
ejpam-5404	32	26	insulin	insulin	NOUN
ejpam-5404	32	27	(	(	PUNCT
ejpam-5404	32	28	type	type	NOUN
ejpam-5404	32	29	2	2	NUM
ejpam-5404	32	30	diabetes	diabetes	NOUN
ejpam-5404	32	31	)	)	PUNCT
ejpam-5404	32	32	.	.	PUNCT
ejpam-5404	33	1	understanding	understand	VERB
ejpam-5404	33	2	diabetes	diabetes	NOUN
ejpam-5404	33	3	pathogenesis	pathogenesis	NOUN
ejpam-5404	33	4	and	and	CCONJ
ejpam-5404	33	5	progression	progression	NOUN
ejpam-5404	33	6	is	be	AUX
ejpam-5404	33	7	crucial	crucial	ADJ
ejpam-5404	33	8	for	for	ADP
ejpam-5404	33	9	developing	develop	VERB
ejpam-5404	33	10	effective	effective	ADJ
ejpam-5404	33	11	treatment	treatment	NOUN
ejpam-5404	33	12	and	and	CCONJ
ejpam-5404	33	13	management	management	NOUN
ejpam-5404	33	14	strategies	strategy	NOUN
ejpam-5404	33	15	.	.	PUNCT
ejpam-5404	34	1	mathematical	mathematical	ADJ
ejpam-5404	34	2	modeling	modeling	NOUN
ejpam-5404	34	3	has	have	AUX
ejpam-5404	34	4	emerged	emerge	VERB
ejpam-5404	34	5	as	as	ADP
ejpam-5404	34	6	a	a	DET
ejpam-5404	34	7	powerful	powerful	ADJ
ejpam-5404	34	8	tool	tool	NOUN
ejpam-5404	34	9	to	to	PART
ejpam-5404	34	10	study	study	VERB
ejpam-5404	34	11	the	the	DET
ejpam-5404	34	12	complex	complex	ADJ
ejpam-5404	34	13	interactions	interaction	NOUN
ejpam-5404	34	14	between	between	ADP
ejpam-5404	34	15	glucose	glucose	NOUN
ejpam-5404	34	16	and	and	CCONJ
ejpam-5404	34	17	insulin	insulin	NOUN
ejpam-5404	34	18	in	in	ADP
ejpam-5404	34	19	the	the	DET
ejpam-5404	34	20	body	body	NOUN
ejpam-5404	34	21	.	.	PUNCT
ejpam-5404	35	1	this	this	PRON
ejpam-5404	35	2	provides	provide	VERB
ejpam-5404	35	3	insights	insight	NOUN
ejpam-5404	35	4	into	into	ADP
ejpam-5404	35	5	disease	disease	NOUN
ejpam-5404	35	6	dynamics	dynamic	NOUN
ejpam-5404	35	7	and	and	CCONJ
ejpam-5404	35	8	potential	potential	ADJ
ejpam-5404	35	9	interventions	intervention	NOUN
ejpam-5404	35	10	.	.	PUNCT
ejpam-5404	36	1	such	such	ADJ
ejpam-5404	36	2	models	model	NOUN
ejpam-5404	36	3	can	can	AUX
ejpam-5404	36	4	also	also	ADV
ejpam-5404	36	5	be	be	AUX
ejpam-5404	36	6	used	use	VERB
ejpam-5404	36	7	to	to	PART
ejpam-5404	36	8	evaluate	evaluate	VERB
ejpam-5404	36	9	the	the	DET
ejpam-5404	36	10	efficacy	efficacy	NOUN
ejpam-5404	36	11	of	of	ADP
ejpam-5404	36	12	potential	potential	ADJ
ejpam-5404	36	13	treatments	treatment	NOUN
ejpam-5404	36	14	and	and	CCONJ
ejpam-5404	36	15	interventions	intervention	NOUN
ejpam-5404	36	16	.	.	PUNCT
ejpam-5404	37	1	they	they	PRON
ejpam-5404	37	2	can	can	AUX
ejpam-5404	37	3	also	also	ADV
ejpam-5404	37	4	be	be	AUX
ejpam-5404	37	5	used	use	VERB
ejpam-5404	37	6	to	to	PART
ejpam-5404	37	7	predict	predict	VERB
ejpam-5404	37	8	lifestyle	lifestyle	NOUN
ejpam-5404	37	9	changes	change	NOUN
ejpam-5404	37	10	’	'	PUNCT
ejpam-5404	37	11	impact	impact	NOUN
ejpam-5404	37	12	on	on	ADP
ejpam-5404	37	13	diabetes	diabetes	NOUN
ejpam-5404	37	14	outcomes	outcome	NOUN
ejpam-5404	37	15	.	.	PUNCT
ejpam-5404	38	1	traditional	traditional	ADJ
ejpam-5404	38	2	models	model	NOUN
ejpam-5404	38	3	often	often	ADV
ejpam-5404	38	4	rely	rely	VERB
ejpam-5404	38	5	on	on	ADP
ejpam-5404	38	6	deterministic	deterministic	ADJ
ejpam-5404	38	7	differential	differential	ADJ
ejpam-5404	38	8	equations	equation	NOUN
ejpam-5404	38	9	to	to	PART
ejpam-5404	38	10	describe	describe	VERB
ejpam-5404	38	11	these	these	DET
ejpam-5404	38	12	dynamics	dynamic	NOUN
ejpam-5404	38	13	.	.	PUNCT
ejpam-5404	39	1	while	while	SCONJ
ejpam-5404	39	2	valuable	valuable	ADJ
ejpam-5404	39	3	,	,	PUNCT
ejpam-5404	39	4	these	these	DET
ejpam-5404	39	5	models	model	NOUN
ejpam-5404	39	6	fall	fall	VERB
ejpam-5404	39	7	short	short	ADV
ejpam-5404	39	8	of	of	ADP
ejpam-5404	39	9	capturing	capture	VERB
ejpam-5404	39	10	biological	biological	ADJ
ejpam-5404	39	11	systems	system	NOUN
ejpam-5404	39	12	’	'	PUNCT
ejpam-5404	39	13	inherent	inherent	ADJ
ejpam-5404	39	14	randomness	randomness	NOUN
ejpam-5404	39	15	and	and	CCONJ
ejpam-5404	39	16	variability	variability	NOUN
ejpam-5404	39	17	.	.	PUNCT
ejpam-5404	40	1	to	to	PART
ejpam-5404	40	2	address	address	VERB
ejpam-5404	40	3	this	this	DET
ejpam-5404	40	4	limitation	limitation	NOUN
ejpam-5404	40	5	,	,	PUNCT
ejpam-5404	40	6	stochastic	stochastic	NOUN
ejpam-5404	40	7	models	model	NOUN
ejpam-5404	40	8	have	have	AUX
ejpam-5404	40	9	been	be	AUX
ejpam-5404	40	10	introduced	introduce	VERB
ejpam-5404	40	11	,	,	PUNCT
ejpam-5404	40	12	incorporating	incorporate	VERB
ejpam-5404	40	13	random	random	ADJ
ejpam-5404	40	14	perturbations	perturbation	NOUN
ejpam-5404	40	15	that	that	PRON
ejpam-5404	40	16	reflect	reflect	VERB
ejpam-5404	40	17	the	the	DET
ejpam-5404	40	18	unpredictable	unpredictable	ADJ
ejpam-5404	40	19	fluctuations	fluctuation	NOUN
ejpam-5404	40	20	in	in	ADP
ejpam-5404	40	21	glucose	glucose	NOUN
ejpam-5404	40	22	and	and	CCONJ
ejpam-5404	40	23	insulin	insulin	NOUN
ejpam-5404	40	24	levels	level	NOUN
ejpam-5404	40	25	observed	observe	VERB
ejpam-5404	40	26	in	in	ADP
ejpam-5404	40	27	diabetic	diabetic	ADJ
ejpam-5404	40	28	patients	patient	NOUN
ejpam-5404	40	29	.	.	PUNCT
ejpam-5404	41	1	these	these	DET
ejpam-5404	41	2	stochastic	stochastic	ADJ
ejpam-5404	41	3	models	model	NOUN
ejpam-5404	41	4	offer	offer	VERB
ejpam-5404	41	5	a	a	DET
ejpam-5404	41	6	more	more	ADV
ejpam-5404	41	7	realistic	realistic	ADJ
ejpam-5404	41	8	representation	representation	NOUN
ejpam-5404	41	9	of	of	ADP
ejpam-5404	41	10	biological	biological	ADJ
ejpam-5404	41	11	processes	process	NOUN
ejpam-5404	41	12	.	.	PUNCT
ejpam-5404	42	1	in	in	ADP
ejpam-5404	42	2	recent	recent	ADJ
ejpam-5404	42	3	years	year	NOUN
ejpam-5404	42	4	,	,	PUNCT
ejpam-5404	42	5	calculus	calculus	NOUN
ejpam-5404	42	6	has	have	AUX
ejpam-5404	42	7	gained	gain	VERB
ejpam-5404	42	8	attention	attention	NOUN
ejpam-5404	42	9	for	for	ADP
ejpam-5404	42	10	its	its	PRON
ejpam-5404	42	11	ability	ability	NOUN
ejpam-5404	42	12	to	to	PART
ejpam-5404	42	13	model	model	VERB
ejpam-5404	42	14	memory	memory	NOUN
ejpam-5404	42	15	and	and	CCONJ
ejpam-5404	42	16	hereditary	hereditary	ADJ
ejpam-5404	42	17	properties	property	NOUN
ejpam-5404	42	18	of	of	ADP
ejpam-5404	42	19	various	various	ADJ
ejpam-5404	42	20	processes	process	NOUN
ejpam-5404	42	21	.	.	PUNCT
ejpam-5404	43	1	this	this	PRON
ejpam-5404	43	2	makes	make	VERB
ejpam-5404	43	3	it	it	PRON
ejpam-5404	43	4	particularly	particularly	ADV
ejpam-5404	43	5	suitable	suitable	ADJ
ejpam-5404	43	6	for	for	ADP
ejpam-5404	43	7	representing	represent	VERB
ejpam-5404	43	8	the	the	DET
ejpam-5404	43	9	complex	complex	ADJ
ejpam-5404	43	10	dynamics	dynamic	NOUN
ejpam-5404	43	11	of	of	ADP
ejpam-5404	43	12	the	the	DET
ejpam-5404	43	13	glucose	glucose	NOUN
ejpam-5404	43	14	-	-	PUNCT
ejpam-5404	43	15	insulin	insulin	NOUN
ejpam-5404	43	16	system	system	NOUN
ejpam-5404	43	17	.	.	PUNCT
ejpam-5404	44	1	this	this	DET
ejpam-5404	44	2	paper	paper	NOUN
ejpam-5404	44	3	aims	aim	VERB
ejpam-5404	44	4	to	to	PART
ejpam-5404	44	5	advance	advance	VERB
ejpam-5404	44	6	diabetes	diabetes	NOUN
ejpam-5404	44	7	dynamics	dynamic	NOUN
ejpam-5404	44	8	understanding	understand	VERB
ejpam-5404	44	9	through	through	ADP
ejpam-5404	44	10	the	the	DET
ejpam-5404	44	11	development	development	NOUN
ejpam-5404	44	12	of	of	ADP
ejpam-5404	44	13	a	a	DET
ejpam-5404	44	14	stochastic	stochastic	ADJ
ejpam-5404	44	15	glucose	glucose	NOUN
ejpam-5404	44	16	-	-	PUNCT
ejpam-5404	44	17	insulin	insulin	NOUN
ejpam-5404	44	18	model	model	NOUN
ejpam-5404	44	19	.	.	PUNCT
ejpam-5404	45	1	by	by	ADP
ejpam-5404	45	2	incorporating	incorporate	VERB
ejpam-5404	45	3	the	the	DET
ejpam-5404	45	4	michaelis	michaeli	NOUN
ejpam-5404	45	5	-	-	PUNCT
ejpam-5404	45	6	menten	menten	ADJ
ejpam-5404	45	7	function	function	NOUN
ejpam-5404	45	8	and	and	CCONJ
ejpam-5404	45	9	employing	employ	VERB
ejpam-5404	45	10	the	the	DET
ejpam-5404	45	11	milstein	milstein	ADJ
ejpam-5404	45	12	method	method	NOUN
ejpam-5404	45	13	,	,	PUNCT
ejpam-5404	45	14	we	we	PRON
ejpam-5404	45	15	provide	provide	VERB
ejpam-5404	45	16	a	a	DET
ejpam-5404	45	17	comprehensive	comprehensive	ADJ
ejpam-5404	45	18	analysis	analysis	NOUN
ejpam-5404	45	19	of	of	ADP
ejpam-5404	45	20	the	the	DET
ejpam-5404	45	21	model	model	NOUN
ejpam-5404	45	22	’s	’s	PART
ejpam-5404	45	23	properties	property	NOUN
ejpam-5404	45	24	,	,	PUNCT
ejpam-5404	45	25	sensitivity	sensitivity	NOUN
ejpam-5404	45	26	,	,	PUNCT
ejpam-5404	45	27	and	and	CCONJ
ejpam-5404	45	28	potential	potential	ADJ
ejpam-5404	45	29	management	management	NOUN
ejpam-5404	45	30	strategies	strategy	NOUN
ejpam-5404	45	31	.	.	PUNCT
ejpam-5404	46	1	this	this	DET
ejpam-5404	46	2	work	work	NOUN
ejpam-5404	46	3	underscores	underscore	VERB
ejpam-5404	46	4	the	the	DET
ejpam-5404	46	5	importance	importance	NOUN
ejpam-5404	46	6	of	of	ADP
ejpam-5404	46	7	stochastic	stochastic	ADJ
ejpam-5404	46	8	modeling	modeling	NOUN
ejpam-5404	46	9	in	in	ADP
ejpam-5404	46	10	capturing	capture	VERB
ejpam-5404	46	11	biological	biological	ADJ
ejpam-5404	46	12	systems	system	NOUN
ejpam-5404	46	13	’	'	PUNCT
ejpam-5404	46	14	complexity	complexity	NOUN
ejpam-5404	46	15	and	and	CCONJ
ejpam-5404	46	16	variability	variability	NOUN
ejpam-5404	46	17	.	.	PUNCT
ejpam-5404	47	1	this	this	PRON
ejpam-5404	47	2	contributes	contribute	VERB
ejpam-5404	47	3	to	to	ADP
ejpam-5404	47	4	more	more	ADV
ejpam-5404	47	5	effective	effective	ADJ
ejpam-5404	47	6	diabetes	diabetes	NOUN
ejpam-5404	47	7	treatment	treatment	NOUN
ejpam-5404	47	8	and	and	CCONJ
ejpam-5404	47	9	management	management	NOUN
ejpam-5404	47	10	.	.	PUNCT
ejpam-5404	48	1	an	an	DET
ejpam-5404	48	2	analysis	analysis	NOUN
ejpam-5404	48	3	of	of	ADP
ejpam-5404	48	4	the	the	DET
ejpam-5404	48	5	degradation	degradation	NOUN
ejpam-5404	48	6	rate	rate	NOUN
ejpam-5404	48	7	of	of	ADP
ejpam-5404	48	8	insulin	insulin	NOUN
ejpam-5404	48	9	in	in	ADP
ejpam-5404	48	10	a	a	DET
ejpam-5404	48	11	stochastic	stochastic	ADJ
ejpam-5404	48	12	glucose	glucose	NOUN
ejpam-5404	48	13	-	-	PUNCT
ejpam-5404	48	14	insulin	insulin	NOUN
ejpam-5404	48	15	model	model	NOUN
ejpam-5404	48	16	using	use	VERB
ejpam-5404	48	17	the	the	DET
ejpam-5404	48	18	michaelis	michaeli	NOUN
ejpam-5404	48	19	-	-	PUNCT
ejpam-5404	48	20	menten	menten	ADJ
ejpam-5404	48	21	function	function	NOUN
ejpam-5404	48	22	is	be	AUX
ejpam-5404	48	23	presented	present	VERB
ejpam-5404	48	24	in	in	ADP
ejpam-5404	48	25	this	this	DET
ejpam-5404	48	26	paper	paper	NOUN
ejpam-5404	48	27	.	.	PUNCT
ejpam-5404	49	1	the	the	DET
ejpam-5404	49	2	michaelis	michaelis	ADJ
ejpam-5404	49	3	-	-	PUNCT
ejpam-5404	49	4	menten	menten	ADJ
ejpam-5404	49	5	function	function	NOUN
ejpam-5404	49	6	,	,	PUNCT
ejpam-5404	49	7	widely	widely	ADV
ejpam-5404	49	8	used	use	VERB
ejpam-5404	49	9	in	in	ADP
ejpam-5404	49	10	enzyme	enzyme	NOUN
ejpam-5404	49	11	kinetics	kinetic	NOUN
ejpam-5404	49	12	,	,	PUNCT
ejpam-5404	49	13	provides	provide	VERB
ejpam-5404	49	14	a	a	DET
ejpam-5404	49	15	more	more	ADV
ejpam-5404	49	16	accurate	accurate	ADJ
ejpam-5404	49	17	representation	representation	NOUN
ejpam-5404	49	18	of	of	ADP
ejpam-5404	49	19	the	the	DET
ejpam-5404	49	20	nonlinear	nonlinear	ADJ
ejpam-5404	49	21	relationship	relationship	NOUN
ejpam-5404	49	22	between	between	ADP
ejpam-5404	49	23	insulin	insulin	NOUN
ejpam-5404	49	24	concentration	concentration	NOUN
ejpam-5404	49	25	and	and	CCONJ
ejpam-5404	49	26	degradation	degradation	NOUN
ejpam-5404	49	27	rate	rate	NOUN
ejpam-5404	49	28	.	.	PUNCT
ejpam-5404	50	1	our	our	PRON
ejpam-5404	50	2	model	model	NOUN
ejpam-5404	50	3	aims	aim	VERB
ejpam-5404	50	4	to	to	PART
ejpam-5404	50	5	offer	offer	VERB
ejpam-5404	50	6	a	a	DET
ejpam-5404	50	7	comprehensive	comprehensive	ADJ
ejpam-5404	50	8	understanding	understanding	NOUN
ejpam-5404	50	9	of	of	ADP
ejpam-5404	50	10	diabetes	diabetes	NOUN
ejpam-5404	50	11	pathogenesis	pathogenesis	NOUN
ejpam-5404	50	12	by	by	ADP
ejpam-5404	50	13	capturing	capture	VERB
ejpam-5404	50	14	the	the	DET
ejpam-5404	50	15	intricate	intricate	ADJ
ejpam-5404	50	16	s.	s.	PROPN
ejpam-5404	50	17	m.	m.	PROPN
ejpam-5404	50	18	alzahrani	alzahrani	PROPN
ejpam-5404	50	19	/	/	SYM
ejpam-5404	50	20	eur	eur	PROPN
ejpam-5404	50	21	.	.	PUNCT
ejpam-5404	51	1	j.	j.	PROPN
ejpam-5404	51	2	pure	pure	PROPN
ejpam-5404	51	3	appl	appl	PROPN
ejpam-5404	51	4	.	.	PROPN
ejpam-5404	51	5	math	math	PROPN
ejpam-5404	51	6	,	,	PUNCT
ejpam-5404	51	7	18	18	NUM
ejpam-5404	51	8	(	(	PUNCT
ejpam-5404	51	9	1	1	NUM
ejpam-5404	51	10	)	)	PUNCT
ejpam-5404	51	11	(	(	PUNCT
ejpam-5404	51	12	2025	2025	NUM
ejpam-5404	51	13	)	)	PUNCT
ejpam-5404	51	14	,	,	PUNCT
ejpam-5404	51	15	5404	5404	NUM
ejpam-5404	51	16	3	3	NUM
ejpam-5404	51	17	of	of	ADP
ejpam-5404	51	18	22	22	NUM
ejpam-5404	51	19	dynamics	dynamic	NOUN
ejpam-5404	51	20	and	and	CCONJ
ejpam-5404	51	21	inherent	inherent	ADJ
ejpam-5404	51	22	variability	variability	NOUN
ejpam-5404	51	23	of	of	ADP
ejpam-5404	51	24	the	the	DET
ejpam-5404	51	25	glucose	glucose	NOUN
ejpam-5404	51	26	-	-	PUNCT
ejpam-5404	51	27	insulin	insulin	NOUN
ejpam-5404	51	28	system	system	NOUN
ejpam-5404	51	29	.	.	PUNCT
ejpam-5404	52	1	to	to	PART
ejpam-5404	52	2	ensure	ensure	VERB
ejpam-5404	52	3	model	model	NOUN
ejpam-5404	52	4	validity	validity	NOUN
ejpam-5404	52	5	,	,	PUNCT
ejpam-5404	52	6	we	we	PRON
ejpam-5404	52	7	examine	examine	VERB
ejpam-5404	52	8	the	the	DET
ejpam-5404	52	9	solution	solution	NOUN
ejpam-5404	52	10	’s	’s	PART
ejpam-5404	52	11	global	global	ADJ
ejpam-5404	52	12	existence	existence	NOUN
ejpam-5404	52	13	and	and	CCONJ
ejpam-5404	52	14	positivity	positivity	NOUN
ejpam-5404	52	15	.	.	PUNCT
ejpam-5404	53	1	this	this	PRON
ejpam-5404	53	2	ensures	ensure	VERB
ejpam-5404	53	3	that	that	SCONJ
ejpam-5404	53	4	glucose	glucose	NOUN
ejpam-5404	53	5	and	and	CCONJ
ejpam-5404	53	6	insulin	insulin	NOUN
ejpam-5404	53	7	levels	level	NOUN
ejpam-5404	53	8	remain	remain	VERB
ejpam-5404	53	9	non	non	ADJ
ejpam-5404	53	10	-	-	ADJ
ejpam-5404	53	11	negative	negative	ADJ
ejpam-5404	53	12	and	and	CCONJ
ejpam-5404	53	13	well	well	ADV
ejpam-5404	53	14	-	-	PUNCT
ejpam-5404	53	15	defined	define	VERB
ejpam-5404	53	16	over	over	ADP
ejpam-5404	53	17	time	time	NOUN
ejpam-5404	53	18	.	.	PUNCT
ejpam-5404	54	1	we	we	PRON
ejpam-5404	54	2	also	also	ADV
ejpam-5404	54	3	perform	perform	VERB
ejpam-5404	54	4	a	a	DET
ejpam-5404	54	5	sensitivity	sensitivity	NOUN
ejpam-5404	54	6	analysis	analysis	NOUN
ejpam-5404	54	7	to	to	PART
ejpam-5404	54	8	identify	identify	VERB
ejpam-5404	54	9	the	the	DET
ejpam-5404	54	10	most	most	ADV
ejpam-5404	54	11	influential	influential	ADJ
ejpam-5404	54	12	parameters	parameter	NOUN
ejpam-5404	54	13	affecting	affect	VERB
ejpam-5404	54	14	the	the	DET
ejpam-5404	54	15	system	system	NOUN
ejpam-5404	54	16	’s	’s	PART
ejpam-5404	54	17	behavior	behavior	NOUN
ejpam-5404	54	18	.	.	PUNCT
ejpam-5404	55	1	this	this	DET
ejpam-5404	55	2	analysis	analysis	NOUN
ejpam-5404	55	3	helps	help	VERB
ejpam-5404	55	4	design	design	VERB
ejpam-5404	55	5	targeted	target	VERB
ejpam-5404	55	6	intervention	intervention	NOUN
ejpam-5404	55	7	strategies	strategy	NOUN
ejpam-5404	55	8	for	for	ADP
ejpam-5404	55	9	diabetes	diabetes	NOUN
ejpam-5404	55	10	management	management	NOUN
ejpam-5404	55	11	,	,	PUNCT
ejpam-5404	55	12	such	such	ADJ
ejpam-5404	55	13	as	as	ADP
ejpam-5404	55	14	insulin	insulin	NOUN
ejpam-5404	55	15	injections	injection	NOUN
ejpam-5404	55	16	,	,	PUNCT
ejpam-5404	55	17	medication	medication	NOUN
ejpam-5404	55	18	treatments	treatment	NOUN
ejpam-5404	55	19	,	,	PUNCT
ejpam-5404	55	20	combination	combination	NOUN
ejpam-5404	55	21	therapies	therapy	NOUN
ejpam-5404	55	22	,	,	PUNCT
ejpam-5404	55	23	and	and	CCONJ
ejpam-5404	55	24	lifestyle	lifestyle	NOUN
ejpam-5404	55	25	adjustments	adjustment	NOUN
ejpam-5404	55	26	.	.	PUNCT
ejpam-5404	56	1	our	our	PRON
ejpam-5404	56	2	stochastic	stochastic	ADJ
ejpam-5404	56	3	diabetes	diabetes	NOUN
ejpam-5404	56	4	model	model	NOUN
ejpam-5404	56	5	is	be	AUX
ejpam-5404	56	6	analyzed	analyze	VERB
ejpam-5404	56	7	with	with	ADP
ejpam-5404	56	8	the	the	DET
ejpam-5404	56	9	milstein	milstein	ADJ
ejpam-5404	56	10	method	method	NOUN
ejpam-5404	56	11	,	,	PUNCT
ejpam-5404	56	12	a	a	DET
ejpam-5404	56	13	numerical	numerical	ADJ
ejpam-5404	56	14	technique	technique	NOUN
ejpam-5404	56	15	based	base	VERB
ejpam-5404	56	16	on	on	ADP
ejpam-5404	56	17	truncated	truncated	ADJ
ejpam-5404	56	18	ito	ito	PROPN
ejpam-5404	56	19	-	-	PROPN
ejpam-5404	56	20	taylor	taylor	PROPN
ejpam-5404	56	21	expansions	expansion	NOUN
ejpam-5404	56	22	.	.	PUNCT
ejpam-5404	57	1	it	it	PRON
ejpam-5404	57	2	is	be	AUX
ejpam-5404	57	3	known	know	VERB
ejpam-5404	57	4	for	for	ADP
ejpam-5404	57	5	its	its	PRON
ejpam-5404	57	6	efficiency	efficiency	NOUN
ejpam-5404	57	7	and	and	CCONJ
ejpam-5404	57	8	accuracy	accuracy	NOUN
ejpam-5404	57	9	for	for	ADP
ejpam-5404	57	10	solving	solve	VERB
ejpam-5404	57	11	stochastic	stochastic	ADJ
ejpam-5404	57	12	differential	differential	ADJ
ejpam-5404	57	13	equations	equation	NOUN
ejpam-5404	57	14	.	.	PUNCT
ejpam-5404	58	1	by	by	ADP
ejpam-5404	58	2	applying	apply	VERB
ejpam-5404	58	3	this	this	DET
ejpam-5404	58	4	method	method	NOUN
ejpam-5404	58	5	,	,	PUNCT
ejpam-5404	58	6	we	we	PRON
ejpam-5404	58	7	calculate	calculate	VERB
ejpam-5404	58	8	the	the	DET
ejpam-5404	58	9	mean	mean	ADJ
ejpam-5404	58	10	and	and	CCONJ
ejpam-5404	58	11	confidence	confidence	NOUN
ejpam-5404	58	12	intervals	interval	NOUN
ejpam-5404	58	13	,	,	PUNCT
ejpam-5404	58	14	providing	provide	VERB
ejpam-5404	58	15	a	a	DET
ejpam-5404	58	16	comprehensive	comprehensive	ADJ
ejpam-5404	58	17	statistical	statistical	ADJ
ejpam-5404	58	18	description	description	NOUN
ejpam-5404	58	19	of	of	ADP
ejpam-5404	58	20	glucose	glucose	NOUN
ejpam-5404	58	21	-	-	PUNCT
ejpam-5404	58	22	insulin	insulin	NOUN
ejpam-5404	58	23	dynamics	dynamic	NOUN
ejpam-5404	58	24	.	.	PUNCT
ejpam-5404	59	1	finally	finally	ADV
ejpam-5404	59	2	,	,	PUNCT
ejpam-5404	59	3	we	we	PRON
ejpam-5404	59	4	compare	compare	VERB
ejpam-5404	59	5	the	the	DET
ejpam-5404	59	6	stochastic	stochastic	ADJ
ejpam-5404	59	7	model	model	NOUN
ejpam-5404	59	8	results	result	VERB
ejpam-5404	59	9	with	with	ADP
ejpam-5404	59	10	the	the	DET
ejpam-5404	59	11	corresponding	corresponding	ADJ
ejpam-5404	59	12	deterministic	deterministic	ADJ
ejpam-5404	59	13	model	model	NOUN
ejpam-5404	59	14	,	,	PUNCT
ejpam-5404	59	15	demonstrating	demonstrate	VERB
ejpam-5404	59	16	the	the	DET
ejpam-5404	59	17	advantages	advantage	NOUN
ejpam-5404	59	18	of	of	ADP
ejpam-5404	59	19	incorporating	incorporate	VERB
ejpam-5404	59	20	stochastic	stochastic	ADJ
ejpam-5404	59	21	elements	element	NOUN
ejpam-5404	59	22	.	.	PUNCT
ejpam-5404	60	1	our	our	PRON
ejpam-5404	60	2	findings	finding	NOUN
ejpam-5404	60	3	indicate	indicate	VERB
ejpam-5404	60	4	that	that	SCONJ
ejpam-5404	60	5	the	the	DET
ejpam-5404	60	6	stochastic	stochastic	ADJ
ejpam-5404	60	7	diabetes	diabetes	NOUN
ejpam-5404	60	8	model	model	NOUN
ejpam-5404	60	9	,	,	PUNCT
ejpam-5404	60	10	solved	solve	VERB
ejpam-5404	60	11	efficiently	efficiently	ADV
ejpam-5404	60	12	using	use	VERB
ejpam-5404	60	13	the	the	DET
ejpam-5404	60	14	milstein	milstein	ADJ
ejpam-5404	60	15	method	method	NOUN
ejpam-5404	60	16	,	,	PUNCT
ejpam-5404	60	17	offers	offer	VERB
ejpam-5404	60	18	a	a	DET
ejpam-5404	60	19	more	more	ADV
ejpam-5404	60	20	realistic	realistic	ADJ
ejpam-5404	60	21	and	and	CCONJ
ejpam-5404	60	22	robust	robust	ADJ
ejpam-5404	60	23	framework	framework	NOUN
ejpam-5404	60	24	for	for	ADP
ejpam-5404	60	25	studying	study	VERB
ejpam-5404	60	26	diabetes	diabetes	NOUN
ejpam-5404	60	27	pathogenesis	pathogenesis	NOUN
ejpam-5404	60	28	and	and	CCONJ
ejpam-5404	60	29	management	management	NOUN
ejpam-5404	60	30	.	.	PUNCT
ejpam-5404	61	1	recently	recently	ADV
ejpam-5404	61	2	,	,	PUNCT
ejpam-5404	61	3	several	several	ADJ
ejpam-5404	61	4	mathematicians	mathematician	NOUN
ejpam-5404	61	5	have	have	AUX
ejpam-5404	61	6	developed	develop	VERB
ejpam-5404	61	7	mathematical	mathematical	ADJ
ejpam-5404	61	8	models	model	NOUN
ejpam-5404	61	9	based	base	VERB
ejpam-5404	61	10	on	on	ADP
ejpam-5404	61	11	ivgtt	ivgtt	NOUN
ejpam-5404	61	12	to	to	PART
ejpam-5404	61	13	study	study	VERB
ejpam-5404	61	14	glucose	glucose	NOUN
ejpam-5404	61	15	–	–	PUNCT
ejpam-5404	61	16	insulin	insulin	NOUN
ejpam-5404	61	17	interactions	interaction	NOUN
ejpam-5404	61	18	,	,	PUNCT
ejpam-5404	61	19	see	see	VERB
ejpam-5404	61	20	[	[	X
ejpam-5404	61	21	1–4	1–4	NUM
ejpam-5404	61	22	,	,	PUNCT
ejpam-5404	61	23	8	8	NUM
ejpam-5404	61	24	,	,	PUNCT
ejpam-5404	61	25	25	25	NUM
ejpam-5404	61	26	,	,	PUNCT
ejpam-5404	61	27	26	26	NUM
ejpam-5404	61	28	]	]	PUNCT
ejpam-5404	61	29	.	.	PUNCT
ejpam-5404	62	1	in	in	ADP
ejpam-5404	62	2	many	many	ADJ
ejpam-5404	62	3	disciplines	discipline	NOUN
ejpam-5404	62	4	,	,	PUNCT
ejpam-5404	62	5	including	include	VERB
ejpam-5404	62	6	medicine	medicine	NOUN
ejpam-5404	62	7	,	,	PUNCT
ejpam-5404	62	8	engineering	engineering	NOUN
ejpam-5404	62	9	,	,	PUNCT
ejpam-5404	62	10	chemistry	chemistry	NOUN
ejpam-5404	62	11	,	,	PUNCT
ejpam-5404	62	12	physics	physics	NOUN
ejpam-5404	62	13	,	,	PUNCT
ejpam-5404	62	14	economics	economic	NOUN
ejpam-5404	62	15	,	,	PUNCT
ejpam-5404	62	16	and	and	CCONJ
ejpam-5404	62	17	many	many	ADJ
ejpam-5404	62	18	more	more	ADJ
ejpam-5404	62	19	,	,	PUNCT
ejpam-5404	62	20	epidemiology	epidemiology	NOUN
ejpam-5404	62	21	plays	play	VERB
ejpam-5404	62	22	an	an	DET
ejpam-5404	62	23	important	important	ADJ
ejpam-5404	62	24	role	role	NOUN
ejpam-5404	62	25	.	.	PUNCT
ejpam-5404	63	1	see	see	VERB
ejpam-5404	63	2	[	[	X
ejpam-5404	63	3	8	8	NUM
ejpam-5404	63	4	,	,	PUNCT
ejpam-5404	63	5	12	12	NUM
ejpam-5404	63	6	,	,	PUNCT
ejpam-5404	63	7	13	13	NUM
ejpam-5404	63	8	,	,	PUNCT
ejpam-5404	63	9	20	20	NUM
ejpam-5404	63	10	]	]	PUNCT
ejpam-5404	63	11	.	.	PUNCT
ejpam-5404	64	1	space	space	NOUN
ejpam-5404	64	2	-	-	PUNCT
ejpam-5404	64	3	time	time	NOUN
ejpam-5404	64	4	,	,	PUNCT
ejpam-5404	64	5	stochastic	stochastic	NOUN
ejpam-5404	64	6	,	,	PUNCT
ejpam-5404	64	7	fractional	fractional	ADJ
ejpam-5404	64	8	,	,	PUNCT
ejpam-5404	64	9	and	and	CCONJ
ejpam-5404	64	10	fractal	fractal	ADJ
ejpam-5404	64	11	mathematics	mathematic	NOUN
ejpam-5404	64	12	are	be	AUX
ejpam-5404	64	13	used	use	VERB
ejpam-5404	64	14	to	to	PART
ejpam-5404	64	15	examine	examine	VERB
ejpam-5404	64	16	disease	disease	NOUN
ejpam-5404	64	17	models	model	NOUN
ejpam-5404	64	18	,	,	PUNCT
ejpam-5404	64	19	see	see	VERB
ejpam-5404	64	20	[	[	X
ejpam-5404	64	21	5	5	NUM
ejpam-5404	64	22	,	,	PUNCT
ejpam-5404	64	23	6	6	NUM
ejpam-5404	64	24	,	,	PUNCT
ejpam-5404	64	25	22	22	NUM
ejpam-5404	64	26	,	,	PUNCT
ejpam-5404	64	27	28	28	NUM
ejpam-5404	64	28	]	]	PUNCT
ejpam-5404	64	29	.	.	PUNCT
ejpam-5404	65	1	compared	compare	VERB
ejpam-5404	65	2	to	to	ADP
ejpam-5404	65	3	fractional	fractional	ADJ
ejpam-5404	65	4	,	,	PUNCT
ejpam-5404	65	5	ordinary	ordinary	ADJ
ejpam-5404	65	6	and	and	CCONJ
ejpam-5404	65	7	partial	partial	ADJ
ejpam-5404	65	8	differential	differential	NOUN
ejpam-5404	65	9	equations	equation	NOUN
ejpam-5404	65	10	,	,	PUNCT
ejpam-5404	65	11	stochastic	stochastic	ADJ
ejpam-5404	65	12	differential	differential	ADJ
ejpam-5404	65	13	equations	equation	NOUN
ejpam-5404	65	14	like	like	ADP
ejpam-5404	65	15	[	[	X
ejpam-5404	65	16	15]-[33	15]-[33	X
ejpam-5404	65	17	]	]	X
ejpam-5404	65	18	are	be	AUX
ejpam-5404	65	19	more	more	ADV
ejpam-5404	65	20	realistic	realistic	ADJ
ejpam-5404	65	21	and	and	CCONJ
ejpam-5404	65	22	appropriate	appropriate	ADJ
ejpam-5404	65	23	than	than	ADP
ejpam-5404	65	24	fractional	fractional	ADJ
ejpam-5404	65	25	,	,	PUNCT
ejpam-5404	65	26	ordinary	ordinary	ADJ
ejpam-5404	65	27	and	and	CCONJ
ejpam-5404	65	28	partial	partial	ADJ
ejpam-5404	65	29	differential	differential	ADJ
ejpam-5404	65	30	equations	equation	NOUN
ejpam-5404	65	31	.	.	PUNCT
ejpam-5404	66	1	stochastic	stochastic	ADJ
ejpam-5404	66	2	differential	differential	ADJ
ejpam-5404	66	3	equations	equation	NOUN
ejpam-5404	66	4	have	have	AUX
ejpam-5404	66	5	also	also	ADV
ejpam-5404	66	6	been	be	AUX
ejpam-5404	66	7	used	use	VERB
ejpam-5404	66	8	to	to	PART
ejpam-5404	66	9	simulate	simulate	VERB
ejpam-5404	66	10	the	the	DET
ejpam-5404	66	11	spread	spread	NOUN
ejpam-5404	66	12	of	of	ADP
ejpam-5404	66	13	infectious	infectious	ADJ
ejpam-5404	66	14	diseases	disease	NOUN
ejpam-5404	66	15	,	,	PUNCT
ejpam-5404	66	16	such	such	ADJ
ejpam-5404	66	17	as	as	ADP
ejpam-5404	66	18	covid-19	covid-19	PROPN
ejpam-5404	66	19	.	.	PUNCT
ejpam-5404	67	1	they	they	PRON
ejpam-5404	67	2	can	can	AUX
ejpam-5404	67	3	also	also	ADV
ejpam-5404	67	4	be	be	AUX
ejpam-5404	67	5	used	use	VERB
ejpam-5404	67	6	to	to	PART
ejpam-5404	67	7	understand	understand	VERB
ejpam-5404	67	8	the	the	DET
ejpam-5404	67	9	effects	effect	NOUN
ejpam-5404	67	10	of	of	ADP
ejpam-5404	67	11	interventions	intervention	NOUN
ejpam-5404	67	12	,	,	PUNCT
ejpam-5404	67	13	such	such	ADJ
ejpam-5404	67	14	as	as	ADP
ejpam-5404	67	15	social	social	ADJ
ejpam-5404	67	16	distancing	distancing	NOUN
ejpam-5404	67	17	and	and	CCONJ
ejpam-5404	67	18	contact	contact	NOUN
ejpam-5404	67	19	tracing	tracing	NOUN
ejpam-5404	67	20	.	.	PUNCT
ejpam-5404	68	1	mathematical	mathematical	ADJ
ejpam-5404	68	2	models	model	NOUN
ejpam-5404	68	3	are	be	AUX
ejpam-5404	68	4	crucial	crucial	ADJ
ejpam-5404	68	5	in	in	ADP
ejpam-5404	68	6	public	public	ADJ
ejpam-5404	68	7	health	health	NOUN
ejpam-5404	68	8	as	as	SCONJ
ejpam-5404	68	9	they	they	PRON
ejpam-5404	68	10	provide	provide	VERB
ejpam-5404	68	11	valuable	valuable	ADJ
ejpam-5404	68	12	insights	insight	NOUN
ejpam-5404	68	13	into	into	ADP
ejpam-5404	68	14	the	the	DET
ejpam-5404	68	15	dynamics	dynamic	NOUN
ejpam-5404	68	16	of	of	ADP
ejpam-5404	68	17	disease	disease	NOUN
ejpam-5404	68	18	transmission	transmission	NOUN
ejpam-5404	68	19	and	and	CCONJ
ejpam-5404	68	20	the	the	DET
ejpam-5404	68	21	potential	potential	ADJ
ejpam-5404	68	22	impact	impact	NOUN
ejpam-5404	68	23	of	of	ADP
ejpam-5404	68	24	various	various	ADJ
ejpam-5404	68	25	interventions	intervention	NOUN
ejpam-5404	68	26	.	.	PUNCT
ejpam-5404	69	1	by	by	ADP
ejpam-5404	69	2	simulating	simulate	VERB
ejpam-5404	69	3	different	different	ADJ
ejpam-5404	69	4	scenarios	scenario	NOUN
ejpam-5404	69	5	,	,	PUNCT
ejpam-5404	69	6	these	these	DET
ejpam-5404	69	7	models	model	NOUN
ejpam-5404	69	8	help	help	VERB
ejpam-5404	69	9	policymakers	policymaker	NOUN
ejpam-5404	69	10	design	design	VERB
ejpam-5404	69	11	effective	effective	ADJ
ejpam-5404	69	12	strategies	strategy	NOUN
ejpam-5404	69	13	to	to	PART
ejpam-5404	69	14	mitigate	mitigate	VERB
ejpam-5404	69	15	the	the	DET
ejpam-5404	69	16	spread	spread	NOUN
ejpam-5404	69	17	of	of	ADP
ejpam-5404	69	18	diseases	disease	NOUN
ejpam-5404	69	19	and	and	CCONJ
ejpam-5404	69	20	allocate	allocate	VERB
ejpam-5404	69	21	resources	resource	NOUN
ejpam-5404	69	22	efficiently	efficiently	ADV
ejpam-5404	69	23	.	.	PUNCT
ejpam-5404	70	1	this	this	PRON
ejpam-5404	70	2	is	be	AUX
ejpam-5404	70	3	especially	especially	ADV
ejpam-5404	70	4	important	important	ADJ
ejpam-5404	70	5	during	during	ADP
ejpam-5404	70	6	pandemics	pandemic	NOUN
ejpam-5404	70	7	,	,	PUNCT
ejpam-5404	70	8	where	where	SCONJ
ejpam-5404	70	9	timely	timely	ADJ
ejpam-5404	70	10	and	and	CCONJ
ejpam-5404	70	11	accurate	accurate	ADJ
ejpam-5404	70	12	predictions	prediction	NOUN
ejpam-5404	70	13	can	can	AUX
ejpam-5404	70	14	save	save	VERB
ejpam-5404	70	15	lives	life	NOUN
ejpam-5404	70	16	and	and	CCONJ
ejpam-5404	70	17	reduce	reduce	VERB
ejpam-5404	70	18	the	the	DET
ejpam-5404	70	19	burden	burden	NOUN
ejpam-5404	70	20	on	on	ADP
ejpam-5404	70	21	healthcare	healthcare	NOUN
ejpam-5404	70	22	systems	system	NOUN
ejpam-5404	70	23	.	.	PUNCT
ejpam-5404	71	1	2	2	X
ejpam-5404	71	2	.	.	X
ejpam-5404	71	3	stochastic	stochastic	ADJ
ejpam-5404	71	4	diabetes	diabetes	NOUN
ejpam-5404	71	5	model	model	NOUN
ejpam-5404	71	6	motivation	motivation	NOUN
ejpam-5404	71	7	&	&	CCONJ
ejpam-5404	71	8	formulation	formulation	NOUN
ejpam-5404	71	9	daily	daily	ADJ
ejpam-5404	71	10	carbohydrate	carbohydrate	NOUN
ejpam-5404	71	11	intake	intake	NOUN
ejpam-5404	71	12	includes	include	VERB
ejpam-5404	71	13	cereals	cereal	NOUN
ejpam-5404	71	14	,	,	PUNCT
ejpam-5404	71	15	meat	meat	NOUN
ejpam-5404	71	16	,	,	PUNCT
ejpam-5404	71	17	and	and	CCONJ
ejpam-5404	71	18	dairy	dairy	NOUN
ejpam-5404	71	19	products	product	NOUN
ejpam-5404	71	20	.	.	PUNCT
ejpam-5404	72	1	energy	energy	NOUN
ejpam-5404	72	2	from	from	ADP
ejpam-5404	72	3	them	they	PRON
ejpam-5404	72	4	is	be	AUX
ejpam-5404	72	5	sufficient	sufficient	ADJ
ejpam-5404	72	6	for	for	ADP
ejpam-5404	72	7	all	all	DET
ejpam-5404	72	8	life	life	NOUN
ejpam-5404	72	9	activities	activity	NOUN
ejpam-5404	72	10	.	.	PUNCT
ejpam-5404	73	1	insulin	insulin	NOUN
ejpam-5404	73	2	-	-	PUNCT
ejpam-5404	73	3	dependent	dependent	ADJ
ejpam-5404	73	4	glucose	glucose	NOUN
ejpam-5404	73	5	consumers	consumer	NOUN
ejpam-5404	73	6	,	,	PUNCT
ejpam-5404	73	7	such	such	ADJ
ejpam-5404	73	8	as	as	ADP
ejpam-5404	73	9	the	the	DET
ejpam-5404	73	10	brain	brain	NOUN
ejpam-5404	73	11	,	,	PUNCT
ejpam-5404	73	12	and	and	CCONJ
ejpam-5404	73	13	insulin	insulin	NOUN
ejpam-5404	73	14	-	-	PUNCT
ejpam-5404	73	15	independent	independent	ADJ
ejpam-5404	73	16	glucose	glucose	NOUN
ejpam-5404	73	17	consumers	consumer	NOUN
ejpam-5404	73	18	,	,	PUNCT
ejpam-5404	73	19	such	such	ADJ
ejpam-5404	73	20	as	as	ADP
ejpam-5404	73	21	muscles	muscle	NOUN
ejpam-5404	73	22	,	,	PUNCT
ejpam-5404	73	23	consume	consume	VERB
ejpam-5404	73	24	glucose	glucose	NOUN
ejpam-5404	73	25	.	.	PUNCT
ejpam-5404	74	1	synthetic	synthetic	ADJ
ejpam-5404	74	2	insulin	insulin	NOUN
ejpam-5404	74	3	is	be	AUX
ejpam-5404	74	4	produced	produce	VERB
ejpam-5404	74	5	in	in	ADP
ejpam-5404	74	6	the	the	DET
ejpam-5404	74	7	pancreas	pancreas	NOUN
ejpam-5404	74	8	by	by	ADP
ejpam-5404	74	9	beta	beta	ADJ
ejpam-5404	74	10	cells	cell	NOUN
ejpam-5404	74	11	.	.	PUNCT
ejpam-5404	75	1	glucose	glucose	NOUN
ejpam-5404	75	2	is	be	AUX
ejpam-5404	75	3	broken	break	VERB
ejpam-5404	75	4	down	down	ADP
ejpam-5404	75	5	in	in	ADP
ejpam-5404	75	6	the	the	DET
ejpam-5404	75	7	pancreas	pancrea	NOUN
ejpam-5404	75	8	by	by	ADP
ejpam-5404	75	9	insulin	insulin	NOUN
ejpam-5404	75	10	,	,	PUNCT
ejpam-5404	75	11	which	which	PRON
ejpam-5404	75	12	is	be	AUX
ejpam-5404	75	13	secreted	secrete	VERB
ejpam-5404	75	14	by	by	ADP
ejpam-5404	75	15	the	the	DET
ejpam-5404	75	16	beta	beta	NOUN
ejpam-5404	75	17	cells	cell	NOUN
ejpam-5404	75	18	.	.	PUNCT
ejpam-5404	76	1	g(t	g(t	PROPN
ejpam-5404	76	2	)	)	PUNCT
ejpam-5404	76	3	represents	represent	VERB
ejpam-5404	76	4	the	the	DET
ejpam-5404	76	5	plasma	plasma	NOUN
ejpam-5404	76	6	glucose	glucose	NOUN
ejpam-5404	76	7	concentration	concentration	NOUN
ejpam-5404	76	8	(	(	PUNCT
ejpam-5404	76	9	µu	µu	PROPN
ejpam-5404	76	10	/	/	SYM
ejpam-5404	76	11	ml).gin	ml).gin	NOUN
ejpam-5404	76	12	and	and	CCONJ
ejpam-5404	76	13	iin	iin	NOUN
ejpam-5404	76	14	to	to	PART
ejpam-5404	76	15	represent	represent	VERB
ejpam-5404	76	16	plasma	plasma	NOUN
ejpam-5404	76	17	insulin	insulin	NOUN
ejpam-5404	76	18	concentration	concentration	NOUN
ejpam-5404	76	19	.	.	PUNCT
ejpam-5404	77	1	glucose	glucose	NOUN
ejpam-5404	77	2	intake	intake	NOUN
ejpam-5404	77	3	rate	rate	NOUN
ejpam-5404	77	4	gin	gin	NOUN
ejpam-5404	77	5	and	and	CCONJ
ejpam-5404	77	6	exogenous	exogenous	ADJ
ejpam-5404	77	7	insulin	insulin	NOUN
ejpam-5404	77	8	infusion	infusion	NOUN
ejpam-5404	77	9	rate	rate	NOUN
ejpam-5404	77	10	iin	iin	PROPN
ejpam-5404	77	11	are	be	AUX
ejpam-5404	77	12	constants	constant	NOUN
ejpam-5404	77	13	that	that	PRON
ejpam-5404	77	14	specify	specify	VERB
ejpam-5404	77	15	glucose	glucose	NOUN
ejpam-5404	77	16	intake	intake	NOUN
ejpam-5404	77	17	and	and	CCONJ
ejpam-5404	77	18	exogenous	exogenous	ADJ
ejpam-5404	77	19	insulin	insulin	NOUN
ejpam-5404	77	20	infusion	infusion	NOUN
ejpam-5404	77	21	rates	rate	NOUN
ejpam-5404	77	22	.	.	PUNCT
ejpam-5404	78	1	the	the	DET
ejpam-5404	78	2	significance	significance	NOUN
ejpam-5404	78	3	of	of	ADP
ejpam-5404	78	4	g(t	g(t	PROPN
ejpam-5404	78	5	)	)	PUNCT
ejpam-5404	78	6	and	and	CCONJ
ejpam-5404	78	7	i(t	i(t	NOUN
ejpam-5404	78	8	)	)	PUNCT
ejpam-5404	78	9	lies	lie	VERB
ejpam-5404	78	10	in	in	ADP
ejpam-5404	78	11	their	their	PRON
ejpam-5404	78	12	roles	role	NOUN
ejpam-5404	78	13	in	in	ADP
ejpam-5404	78	14	maintaining	maintain	VERB
ejpam-5404	78	15	homeostasis	homeostasis	NOUN
ejpam-5404	78	16	within	within	ADP
ejpam-5404	78	17	the	the	DET
ejpam-5404	78	18	body	body	NOUN
ejpam-5404	78	19	’s	’s	PART
ejpam-5404	78	20	metabolic	metabolic	NOUN
ejpam-5404	78	21	processes	process	NOUN
ejpam-5404	78	22	.	.	PUNCT
ejpam-5404	79	1	g(t	g(t	PROPN
ejpam-5404	79	2	)	)	PUNCT
ejpam-5404	79	3	,	,	PUNCT
ejpam-5404	79	4	representing	represent	VERB
ejpam-5404	79	5	the	the	DET
ejpam-5404	79	6	plasma	plasma	NOUN
ejpam-5404	79	7	glucose	glucose	NOUN
ejpam-5404	79	8	concentration	concentration	NOUN
ejpam-5404	79	9	,	,	PUNCT
ejpam-5404	79	10	is	be	AUX
ejpam-5404	79	11	crucial	crucial	ADJ
ejpam-5404	79	12	for	for	ADP
ejpam-5404	79	13	ensuring	ensure	VERB
ejpam-5404	79	14	that	that	SCONJ
ejpam-5404	79	15	cells	cell	NOUN
ejpam-5404	79	16	have	have	VERB
ejpam-5404	79	17	a	a	DET
ejpam-5404	79	18	constant	constant	ADJ
ejpam-5404	79	19	s.	s.	PROPN
ejpam-5404	79	20	m.	m.	PROPN
ejpam-5404	79	21	alzahrani	alzahrani	PROPN
ejpam-5404	79	22	/	/	SYM
ejpam-5404	79	23	eur	eur	PROPN
ejpam-5404	79	24	.	.	PUNCT
ejpam-5404	80	1	j.	j.	PROPN
ejpam-5404	80	2	pure	pure	PROPN
ejpam-5404	80	3	appl	appl	PROPN
ejpam-5404	80	4	.	.	PROPN
ejpam-5404	80	5	math	math	PROPN
ejpam-5404	80	6	,	,	PUNCT
ejpam-5404	80	7	18	18	NUM
ejpam-5404	80	8	(	(	PUNCT
ejpam-5404	80	9	1	1	NUM
ejpam-5404	80	10	)	)	PUNCT
ejpam-5404	80	11	(	(	PUNCT
ejpam-5404	80	12	2025	2025	NUM
ejpam-5404	80	13	)	)	PUNCT
ejpam-5404	80	14	,	,	PUNCT
ejpam-5404	80	15	5404	5404	NUM
ejpam-5404	80	16	4	4	NUM
ejpam-5404	80	17	of	of	ADP
ejpam-5404	80	18	22	22	NUM
ejpam-5404	80	19	supply	supply	NOUN
ejpam-5404	80	20	of	of	ADP
ejpam-5404	80	21	glucose	glucose	NOUN
ejpam-5404	80	22	for	for	ADP
ejpam-5404	80	23	energy	energy	NOUN
ejpam-5404	80	24	production	production	NOUN
ejpam-5404	80	25	.	.	PUNCT
ejpam-5404	81	1	meanwhile	meanwhile	ADV
ejpam-5404	81	2	,	,	PUNCT
ejpam-5404	81	3	i(t	i(t	PROPN
ejpam-5404	81	4	)	)	PUNCT
ejpam-5404	81	5	,	,	PUNCT
ejpam-5404	81	6	representing	represent	VERB
ejpam-5404	81	7	the	the	DET
ejpam-5404	81	8	plasma	plasma	NOUN
ejpam-5404	81	9	insulin	insulin	NOUN
ejpam-5404	81	10	concentration	concentration	NOUN
ejpam-5404	81	11	,	,	PUNCT
ejpam-5404	81	12	is	be	AUX
ejpam-5404	81	13	vital	vital	ADJ
ejpam-5404	81	14	for	for	ADP
ejpam-5404	81	15	regulating	regulate	VERB
ejpam-5404	81	16	the	the	DET
ejpam-5404	81	17	uptake	uptake	NOUN
ejpam-5404	81	18	and	and	CCONJ
ejpam-5404	81	19	utilization	utilization	NOUN
ejpam-5404	81	20	of	of	ADP
ejpam-5404	81	21	glucose	glucose	NOUN
ejpam-5404	81	22	by	by	ADP
ejpam-5404	81	23	cells	cell	NOUN
ejpam-5404	81	24	,	,	PUNCT
ejpam-5404	81	25	thereby	thereby	ADV
ejpam-5404	81	26	preventing	prevent	VERB
ejpam-5404	81	27	hyperglycemia	hyperglycemia	NOUN
ejpam-5404	81	28	and	and	CCONJ
ejpam-5404	81	29	hypoglycemia	hypoglycemia	NOUN
ejpam-5404	81	30	.	.	PUNCT
ejpam-5404	82	1	together	together	ADV
ejpam-5404	82	2	,	,	PUNCT
ejpam-5404	82	3	these	these	DET
ejpam-5404	82	4	functions	function	NOUN
ejpam-5404	82	5	are	be	AUX
ejpam-5404	82	6	essential	essential	ADJ
ejpam-5404	82	7	for	for	ADP
ejpam-5404	82	8	the	the	DET
ejpam-5404	82	9	proper	proper	ADJ
ejpam-5404	82	10	functioning	functioning	NOUN
ejpam-5404	82	11	of	of	ADP
ejpam-5404	82	12	various	various	ADJ
ejpam-5404	82	13	physiological	physiological	ADJ
ejpam-5404	82	14	systems	system	NOUN
ejpam-5404	82	15	and	and	CCONJ
ejpam-5404	82	16	overall	overall	ADJ
ejpam-5404	82	17	metabolic	metabolic	NOUN
ejpam-5404	82	18	health	health	NOUN
ejpam-5404	82	19	.	.	PUNCT
ejpam-5404	83	1	glucose	glucose	NOUN
ejpam-5404	83	2	-	-	PUNCT
ejpam-5404	83	3	insulin	insulin	NOUN
ejpam-5404	83	4	models	model	NOUN
ejpam-5404	83	5	assume	assume	VERB
ejpam-5404	83	6	insulin	insulin	NOUN
ejpam-5404	83	7	clearance	clearance	NOUN
ejpam-5404	83	8	is	be	AUX
ejpam-5404	83	9	proportional	proportional	ADJ
ejpam-5404	83	10	to	to	ADP
ejpam-5404	83	11	insulin	insulin	NOUN
ejpam-5404	83	12	concentration	concentration	NOUN
ejpam-5404	83	13	[	[	X
ejpam-5404	83	14	10	10	NUM
ejpam-5404	83	15	,	,	PUNCT
ejpam-5404	83	16	15	15	NUM
ejpam-5404	83	17	,	,	PUNCT
ejpam-5404	83	18	15	15	NUM
ejpam-5404	83	19	,	,	PUNCT
ejpam-5404	83	20	18	18	NUM
ejpam-5404	83	21	,	,	PUNCT
ejpam-5404	83	22	23	23	NUM
ejpam-5404	83	23	,	,	PUNCT
ejpam-5404	83	24	29	29	NUM
ejpam-5404	83	25	,	,	PUNCT
ejpam-5404	83	26	31	31	NUM
ejpam-5404	83	27	,	,	PUNCT
ejpam-5404	83	28	32	32	NUM
ejpam-5404	83	29	]	]	PUNCT
ejpam-5404	83	30	.	.	PUNCT
ejpam-5404	84	1	insufficient	insufficient	ADJ
ejpam-5404	84	2	assumptions	assumption	NOUN
ejpam-5404	84	3	may	may	AUX
ejpam-5404	84	4	lead	lead	VERB
ejpam-5404	84	5	to	to	ADP
ejpam-5404	84	6	ineffective	ineffective	ADJ
ejpam-5404	84	7	diagnosis	diagnosis	NOUN
ejpam-5404	84	8	and	and	CCONJ
ejpam-5404	84	9	cure	cure	NOUN
ejpam-5404	84	10	strategies	strategy	NOUN
ejpam-5404	84	11	.	.	PUNCT
ejpam-5404	85	1	in	in	ADP
ejpam-5404	85	2	[	[	X
ejpam-5404	85	3	30	30	NUM
ejpam-5404	85	4	]	]	PUNCT
ejpam-5404	85	5	,	,	PUNCT
ejpam-5404	85	6	it	it	PRON
ejpam-5404	85	7	is	be	AUX
ejpam-5404	85	8	pointed	point	VERB
ejpam-5404	85	9	out	out	ADP
ejpam-5404	85	10	that	that	SCONJ
ejpam-5404	85	11	even	even	ADV
ejpam-5404	85	12	with	with	ADP
ejpam-5404	85	13	an	an	DET
ejpam-5404	85	14	excess	excess	NOUN
ejpam-5404	85	15	of	of	ADP
ejpam-5404	85	16	resources	resource	NOUN
ejpam-5404	85	17	,	,	PUNCT
ejpam-5404	85	18	change	change	NOUN
ejpam-5404	85	19	rates	rate	NOUN
ejpam-5404	85	20	do	do	AUX
ejpam-5404	85	21	n’t	not	PART
ejpam-5404	85	22	increase	increase	VERB
ejpam-5404	85	23	forever	forever	ADV
ejpam-5404	85	24	.	.	PUNCT
ejpam-5404	86	1	their	their	PRON
ejpam-5404	86	2	model	model	NOUN
ejpam-5404	86	3	included	include	VERB
ejpam-5404	86	4	the	the	DET
ejpam-5404	86	5	michaelis	michaeli	NOUN
ejpam-5404	86	6	-	-	PUNCT
ejpam-5404	86	7	menten	menten	ADJ
ejpam-5404	86	8	function	function	NOUN
ejpam-5404	86	9	di	di	NOUN
ejpam-5404	86	10	e+i	e+i	PUNCT
ejpam-5404	86	11	to	to	PART
ejpam-5404	86	12	determine	determine	VERB
ejpam-5404	86	13	the	the	DET
ejpam-5404	86	14	rate	rate	NOUN
ejpam-5404	86	15	of	of	ADP
ejpam-5404	86	16	degradation	degradation	NOUN
ejpam-5404	86	17	of	of	ADP
ejpam-5404	86	18	insulin	insulin	NOUN
ejpam-5404	86	19	in	in	ADP
ejpam-5404	86	20	the	the	DET
ejpam-5404	86	21	glucose	glucose	NOUN
ejpam-5404	86	22	-	-	PUNCT
ejpam-5404	86	23	insulin	insulin	NOUN
ejpam-5404	86	24	system	system	NOUN
ejpam-5404	86	25	.	.	PUNCT
ejpam-5404	87	1	d	d	X
ejpam-5404	87	2	is	be	AUX
ejpam-5404	87	3	the	the	DET
ejpam-5404	87	4	maximum	maximum	ADJ
ejpam-5404	87	5	clearance	clearance	NOUN
ejpam-5404	87	6	rate	rate	NOUN
ejpam-5404	87	7	of	of	ADP
ejpam-5404	87	8	insulin	insulin	NOUN
ejpam-5404	87	9	,	,	PUNCT
ejpam-5404	87	10	while	while	SCONJ
ejpam-5404	87	11	e	e	NOUN
ejpam-5404	87	12	is	be	AUX
ejpam-5404	87	13	half	half	ADJ
ejpam-5404	87	14	-	-	PUNCT
ejpam-5404	87	15	saturation	saturation	NOUN
ejpam-5404	87	16	.	.	PUNCT
ejpam-5404	88	1	in	in	ADP
ejpam-5404	88	2	comparison	comparison	NOUN
ejpam-5404	88	3	to	to	ADP
ejpam-5404	88	4	a	a	DET
ejpam-5404	88	5	linear	linear	ADJ
ejpam-5404	88	6	rate	rate	NOUN
ejpam-5404	88	7	,	,	PUNCT
ejpam-5404	88	8	it	it	PRON
ejpam-5404	88	9	is	be	AUX
ejpam-5404	88	10	more	more	ADV
ejpam-5404	88	11	realistic	realistic	ADJ
ejpam-5404	88	12	.	.	PUNCT
ejpam-5404	89	1	this	this	DET
ejpam-5404	89	2	paper	paper	NOUN
ejpam-5404	89	3	presents	present	VERB
ejpam-5404	89	4	a	a	DET
ejpam-5404	89	5	model	model	NOUN
ejpam-5404	89	6	that	that	PRON
ejpam-5404	89	7	relates	relate	VERB
ejpam-5404	89	8	glucose	glucose	NOUN
ejpam-5404	89	9	and	and	CCONJ
ejpam-5404	89	10	insulin	insulin	NOUN
ejpam-5404	89	11	based	base	VERB
ejpam-5404	89	12	on	on	ADP
ejpam-5404	89	13	the	the	DET
ejpam-5404	89	14	work	work	NOUN
ejpam-5404	89	15	of	of	ADP
ejpam-5404	89	16	[	[	X
ejpam-5404	89	17	30	30	NUM
ejpam-5404	89	18	]	]	PUNCT
ejpam-5404	89	19	.	.	PUNCT
ejpam-5404	90	1	compared	compare	VERB
ejpam-5404	90	2	to	to	ADP
ejpam-5404	90	3	other	other	ADJ
ejpam-5404	90	4	existing	exist	VERB
ejpam-5404	90	5	glucose	glucose	NOUN
ejpam-5404	90	6	-	-	PUNCT
ejpam-5404	90	7	insulin	insulin	NOUN
ejpam-5404	90	8	models	model	NOUN
ejpam-5404	90	9	,	,	PUNCT
ejpam-5404	90	10	our	our	PRON
ejpam-5404	90	11	model	model	NOUN
ejpam-5404	90	12	incorporates	incorporate	VERB
ejpam-5404	90	13	a	a	DET
ejpam-5404	90	14	non	non	ADJ
ejpam-5404	90	15	-	-	ADJ
ejpam-5404	90	16	linear	linear	ADJ
ejpam-5404	90	17	degradation	degradation	NOUN
ejpam-5404	90	18	rate	rate	NOUN
ejpam-5404	90	19	of	of	ADP
ejpam-5404	90	20	insulin	insulin	NOUN
ejpam-5404	90	21	via	via	ADP
ejpam-5404	90	22	the	the	DET
ejpam-5404	90	23	michaelis	michaelis	ADJ
ejpam-5404	90	24	-	-	PUNCT
ejpam-5404	90	25	menten	menten	ADJ
ejpam-5404	90	26	function	function	NOUN
ejpam-5404	90	27	,	,	PUNCT
ejpam-5404	90	28	which	which	PRON
ejpam-5404	90	29	more	more	ADV
ejpam-5404	90	30	accurately	accurately	ADV
ejpam-5404	90	31	reflects	reflect	VERB
ejpam-5404	90	32	physiological	physiological	ADJ
ejpam-5404	90	33	conditions	condition	NOUN
ejpam-5404	90	34	.	.	PUNCT
ejpam-5404	91	1	traditional	traditional	ADJ
ejpam-5404	91	2	models	model	NOUN
ejpam-5404	91	3	often	often	ADV
ejpam-5404	91	4	assume	assume	VERB
ejpam-5404	91	5	a	a	DET
ejpam-5404	91	6	linear	linear	ADJ
ejpam-5404	91	7	relationship	relationship	NOUN
ejpam-5404	91	8	,	,	PUNCT
ejpam-5404	91	9	which	which	PRON
ejpam-5404	91	10	can	can	AUX
ejpam-5404	91	11	oversimplify	oversimplify	VERB
ejpam-5404	91	12	the	the	DET
ejpam-5404	91	13	dynamics	dynamic	NOUN
ejpam-5404	91	14	and	and	CCONJ
ejpam-5404	91	15	lead	lead	VERB
ejpam-5404	91	16	to	to	ADP
ejpam-5404	91	17	less	less	ADV
ejpam-5404	91	18	precise	precise	ADJ
ejpam-5404	91	19	predictions	prediction	NOUN
ejpam-5404	91	20	.	.	PUNCT
ejpam-5404	92	1	by	by	ADP
ejpam-5404	92	2	integrating	integrate	VERB
ejpam-5404	92	3	this	this	DET
ejpam-5404	92	4	non	non	ADJ
ejpam-5404	92	5	-	-	ADJ
ejpam-5404	92	6	linear	linear	ADJ
ejpam-5404	92	7	approach	approach	NOUN
ejpam-5404	92	8	,	,	PUNCT
ejpam-5404	92	9	our	our	PRON
ejpam-5404	92	10	model	model	NOUN
ejpam-5404	92	11	provides	provide	VERB
ejpam-5404	92	12	a	a	DET
ejpam-5404	92	13	more	more	ADV
ejpam-5404	92	14	robust	robust	ADJ
ejpam-5404	92	15	framework	framework	NOUN
ejpam-5404	92	16	for	for	ADP
ejpam-5404	92	17	understanding	understand	VERB
ejpam-5404	92	18	glucose	glucose	NOUN
ejpam-5404	92	19	-	-	PUNCT
ejpam-5404	92	20	insulin	insulin	NOUN
ejpam-5404	92	21	interactions	interaction	NOUN
ejpam-5404	92	22	and	and	CCONJ
ejpam-5404	92	23	offers	offer	VERB
ejpam-5404	92	24	improved	improve	VERB
ejpam-5404	92	25	potential	potential	NOUN
ejpam-5404	92	26	for	for	ADP
ejpam-5404	92	27	developing	develop	VERB
ejpam-5404	92	28	effective	effective	ADJ
ejpam-5404	92	29	treatment	treatment	NOUN
ejpam-5404	92	30	strategies	strategy	NOUN
ejpam-5404	92	31	for	for	ADP
ejpam-5404	92	32	metabolic	metabolic	NOUN
ejpam-5404	92	33	disorders	disorder	NOUN
ejpam-5404	92	34	.	.	PUNCT
ejpam-5404	93	1	dg	dg	X
ejpam-5404	93	2	dt	dt	NOUN
ejpam-5404	94	1	=	=	NOUN
ejpam-5404	94	2	gin	gin	NOUN
ejpam-5404	94	3	−	−	PROPN
ejpam-5404	94	4	ag−	ag−	PUNCT
ejpam-5404	94	5	bgi	bgi	PROPN
ejpam-5404	94	6	,	,	PUNCT
ejpam-5404	94	7	g(0	g(0	PROPN
ejpam-5404	94	8	)	)	PUNCT
ejpam-5404	94	9	>	>	X
ejpam-5404	94	10	0	0	NUM
ejpam-5404	94	11	,	,	PUNCT
ejpam-5404	94	12	di	di	NOUN
ejpam-5404	94	13	dt	dt	NOUN
ejpam-5404	94	14	=	=	PUNCT
ejpam-5404	94	15	iin	iin	PROPN
ejpam-5404	94	16	+	+	CCONJ
ejpam-5404	94	17	cg−	cg−	PUNCT
ejpam-5404	94	18	di	di	NOUN
ejpam-5404	94	19	e+	e+	VERB
ejpam-5404	94	20	i	i	PRON
ejpam-5404	94	21	,	,	PUNCT
ejpam-5404	94	22	i(0	i(0	PROPN
ejpam-5404	94	23	)	)	PUNCT
ejpam-5404	94	24	>	>	X
ejpam-5404	95	1	0	0	X
ejpam-5404	95	2	.	.	PUNCT
ejpam-5404	95	3	(	(	PUNCT
ejpam-5404	95	4	1	1	NUM
ejpam-5404	95	5	)	)	PUNCT
ejpam-5404	95	6	table	table	NOUN
ejpam-5404	95	7	1	1	NUM
ejpam-5404	95	8	gives	give	VERB
ejpam-5404	95	9	a	a	DET
ejpam-5404	95	10	brief	brief	ADJ
ejpam-5404	95	11	explanation	explanation	NOUN
ejpam-5404	95	12	of	of	ADP
ejpam-5404	95	13	the	the	DET
ejpam-5404	95	14	meaning	meaning	NOUN
ejpam-5404	95	15	of	of	ADP
ejpam-5404	95	16	the	the	DET
ejpam-5404	95	17	parameters	parameter	NOUN
ejpam-5404	95	18	.	.	PUNCT
ejpam-5404	96	1	the	the	DET
ejpam-5404	96	2	parameters	parameter	NOUN
ejpam-5404	96	3	in	in	ADP
ejpam-5404	96	4	the	the	DET
ejpam-5404	96	5	stochastic	stochastic	ADJ
ejpam-5404	96	6	glucose	glucose	NOUN
ejpam-5404	96	7	-	-	PUNCT
ejpam-5404	96	8	insulin	insulin	NOUN
ejpam-5404	96	9	model	model	NOUN
ejpam-5404	96	10	have	have	VERB
ejpam-5404	96	11	specific	specific	ADJ
ejpam-5404	96	12	biological	biological	ADJ
ejpam-5404	96	13	interpretations	interpretation	NOUN
ejpam-5404	96	14	:	:	PUNCT
ejpam-5404	96	15	•	•	NUM
ejpam-5404	96	16	gin	gin	NOUN
ejpam-5404	96	17	:	:	PUNCT
ejpam-5404	96	18	glucose	glucose	NOUN
ejpam-5404	96	19	intake	intake	NOUN
ejpam-5404	96	20	rate	rate	NOUN
ejpam-5404	96	21	,	,	PUNCT
ejpam-5404	96	22	representing	represent	VERB
ejpam-5404	96	23	the	the	DET
ejpam-5404	96	24	rate	rate	NOUN
ejpam-5404	96	25	at	at	ADP
ejpam-5404	96	26	which	which	PRON
ejpam-5404	96	27	glucose	glucose	NOUN
ejpam-5404	96	28	enters	enter	VERB
ejpam-5404	96	29	the	the	DET
ejpam-5404	96	30	bloodstream	bloodstream	NOUN
ejpam-5404	96	31	from	from	ADP
ejpam-5404	96	32	dietary	dietary	ADJ
ejpam-5404	96	33	sources	source	NOUN
ejpam-5404	96	34	.	.	PUNCT
ejpam-5404	97	1	•	•	NUM
ejpam-5404	97	2	iin	iin	NOUN
ejpam-5404	97	3	:	:	PUNCT
ejpam-5404	97	4	exogenous	exogenous	ADJ
ejpam-5404	97	5	insulin	insulin	NOUN
ejpam-5404	97	6	infusion	infusion	NOUN
ejpam-5404	97	7	rate	rate	NOUN
ejpam-5404	97	8	,	,	PUNCT
ejpam-5404	97	9	representing	represent	VERB
ejpam-5404	97	10	the	the	DET
ejpam-5404	97	11	rate	rate	NOUN
ejpam-5404	97	12	of	of	ADP
ejpam-5404	97	13	insulin	insulin	NOUN
ejpam-5404	97	14	administration	administration	NOUN
ejpam-5404	97	15	from	from	ADP
ejpam-5404	97	16	external	external	ADJ
ejpam-5404	97	17	sources	source	NOUN
ejpam-5404	97	18	.	.	PUNCT
ejpam-5404	98	1	•	•	NUM
ejpam-5404	98	2	a	a	DET
ejpam-5404	98	3	:	:	PUNCT
ejpam-5404	98	4	insulin	insulin	NOUN
ejpam-5404	98	5	-	-	PUNCT
ejpam-5404	98	6	independent	independent	ADJ
ejpam-5404	98	7	tissues	tissue	NOUN
ejpam-5404	98	8	’	'	PUNCT
ejpam-5404	98	9	glucose	glucose	NOUN
ejpam-5404	98	10	utilization	utilization	NOUN
ejpam-5404	98	11	rate	rate	NOUN
ejpam-5404	98	12	(	(	PUNCT
ejpam-5404	98	13	e.g.	e.g.	ADV
ejpam-5404	98	14	,	,	PUNCT
ejpam-5404	98	15	brain	brain	NOUN
ejpam-5404	98	16	)	)	PUNCT
ejpam-5404	98	17	.	.	PUNCT
ejpam-5404	99	1	•	•	NUM
ejpam-5404	99	2	b	b	X
ejpam-5404	99	3	:	:	PUNCT
ejpam-5404	99	4	insulin	insulin	NOUN
ejpam-5404	99	5	-	-	PUNCT
ejpam-5404	99	6	dependent	dependent	ADJ
ejpam-5404	99	7	tissues	tissue	NOUN
ejpam-5404	99	8	’	'	PUNCT
ejpam-5404	99	9	glucose	glucose	NOUN
ejpam-5404	99	10	utilization	utilization	NOUN
ejpam-5404	99	11	rate	rate	NOUN
ejpam-5404	99	12	(	(	PUNCT
ejpam-5404	99	13	e.g.	e.g.	ADV
ejpam-5404	99	14	,	,	PUNCT
ejpam-5404	99	15	muscles	muscle	NOUN
ejpam-5404	99	16	)	)	PUNCT
ejpam-5404	99	17	.	.	PUNCT
ejpam-5404	100	1	•	•	NUM
ejpam-5404	100	2	c	c	X
ejpam-5404	100	3	:	:	PUNCT
ejpam-5404	100	4	insulin	insulin	NOUN
ejpam-5404	100	5	secretion	secretion	NOUN
ejpam-5404	100	6	rate	rate	NOUN
ejpam-5404	100	7	in	in	ADP
ejpam-5404	100	8	response	response	NOUN
ejpam-5404	100	9	to	to	ADP
ejpam-5404	100	10	glucose	glucose	NOUN
ejpam-5404	100	11	.	.	PUNCT
ejpam-5404	101	1	•	•	NUM
ejpam-5404	101	2	d	d	NOUN
ejpam-5404	101	3	:	:	PUNCT
ejpam-5404	101	4	insulin	insulin	NOUN
ejpam-5404	101	5	clearance	clearance	NOUN
ejpam-5404	101	6	maximum	maximum	NOUN
ejpam-5404	101	7	.	.	PUNCT
ejpam-5404	102	1	•	•	NUM
ejpam-5404	102	2	e	e	NOUN
ejpam-5404	102	3	:	:	PUNCT
ejpam-5404	102	4	insulin	insulin	NOUN
ejpam-5404	102	5	clearance	clearance	NOUN
ejpam-5404	102	6	half	half	ADJ
ejpam-5404	102	7	-	-	PUNCT
ejpam-5404	102	8	saturation	saturation	NOUN
ejpam-5404	102	9	value	value	NOUN
ejpam-5404	102	10	.	.	PUNCT
ejpam-5404	103	1	all	all	DET
ejpam-5404	103	2	parameters	parameter	NOUN
ejpam-5404	103	3	in	in	ADP
ejpam-5404	103	4	(	(	PUNCT
ejpam-5404	103	5	1	1	X
ejpam-5404	103	6	)	)	PUNCT
ejpam-5404	103	7	are	be	AUX
ejpam-5404	103	8	deterministic	deterministic	ADJ
ejpam-5404	103	9	,	,	PUNCT
ejpam-5404	103	10	so	so	ADV
ejpam-5404	103	11	environmental	environmental	ADJ
ejpam-5404	103	12	fluctuations	fluctuation	NOUN
ejpam-5404	103	13	and	and	CCONJ
ejpam-5404	103	14	randomness	randomness	NOUN
ejpam-5404	103	15	are	be	AUX
ejpam-5404	103	16	not	not	PART
ejpam-5404	103	17	considered	consider	VERB
ejpam-5404	103	18	.	.	PUNCT
ejpam-5404	104	1	the	the	DET
ejpam-5404	104	2	glucose	glucose	NOUN
ejpam-5404	104	3	-	-	PUNCT
ejpam-5404	104	4	insulin	insulin	NOUN
ejpam-5404	104	5	model	model	NOUN
ejpam-5404	104	6	is	be	AUX
ejpam-5404	104	7	more	more	ADV
ejpam-5404	104	8	appropriate	appropriate	ADJ
ejpam-5404	104	9	to	to	PART
ejpam-5404	104	10	be	be	AUX
ejpam-5404	104	11	applied	apply	VERB
ejpam-5404	104	12	in	in	ADP
ejpam-5404	104	13	a	a	DET
ejpam-5404	104	14	s.	s.	PROPN
ejpam-5404	104	15	m.	m.	PROPN
ejpam-5404	104	16	alzahrani	alzahrani	PROPN
ejpam-5404	104	17	/	/	SYM
ejpam-5404	104	18	eur	eur	PROPN
ejpam-5404	104	19	.	.	PUNCT
ejpam-5404	105	1	j.	j.	PROPN
ejpam-5404	105	2	pure	pure	PROPN
ejpam-5404	105	3	appl	appl	PROPN
ejpam-5404	105	4	.	.	PROPN
ejpam-5404	105	5	math	math	PROPN
ejpam-5404	105	6	,	,	PUNCT
ejpam-5404	105	7	18	18	NUM
ejpam-5404	105	8	(	(	PUNCT
ejpam-5404	105	9	1	1	NUM
ejpam-5404	105	10	)	)	PUNCT
ejpam-5404	105	11	(	(	PUNCT
ejpam-5404	105	12	2025	2025	NUM
ejpam-5404	105	13	)	)	PUNCT
ejpam-5404	105	14	,	,	PUNCT
ejpam-5404	105	15	5404	5404	NUM
ejpam-5404	105	16	5	5	NUM
ejpam-5404	105	17	of	of	ADP
ejpam-5404	105	18	22	22	NUM
ejpam-5404	105	19	biological	biological	ADJ
ejpam-5404	105	20	environment	environment	NOUN
ejpam-5404	105	21	by	by	ADP
ejpam-5404	105	22	considering	consider	VERB
ejpam-5404	105	23	how	how	SCONJ
ejpam-5404	105	24	environmental	environmental	ADJ
ejpam-5404	105	25	noise	noise	NOUN
ejpam-5404	105	26	affects	affect	VERB
ejpam-5404	105	27	the	the	DET
ejpam-5404	105	28	glucose	glucose	NOUN
ejpam-5404	105	29	-	-	PUNCT
ejpam-5404	105	30	insulin	insulin	NOUN
ejpam-5404	105	31	model	model	NOUN
ejpam-5404	105	32	.	.	PUNCT
ejpam-5404	106	1	stochastic	stochastic	ADJ
ejpam-5404	106	2	perturbations	perturbation	NOUN
ejpam-5404	106	3	introduce	introduce	VERB
ejpam-5404	106	4	randomness	randomness	NOUN
ejpam-5404	106	5	into	into	ADP
ejpam-5404	106	6	the	the	DET
ejpam-5404	106	7	model	model	NOUN
ejpam-5404	106	8	parameters	parameter	NOUN
ejpam-5404	106	9	,	,	PUNCT
ejpam-5404	106	10	reflecting	reflect	VERB
ejpam-5404	106	11	the	the	DET
ejpam-5404	106	12	inherent	inherent	ADJ
ejpam-5404	106	13	uncertainties	uncertainty	NOUN
ejpam-5404	106	14	and	and	CCONJ
ejpam-5404	106	15	variability	variability	NOUN
ejpam-5404	106	16	in	in	ADP
ejpam-5404	106	17	biological	biological	ADJ
ejpam-5404	106	18	systems	system	NOUN
ejpam-5404	106	19	.	.	PUNCT
ejpam-5404	107	1	the	the	DET
ejpam-5404	107	2	inclusion	inclusion	NOUN
ejpam-5404	107	3	of	of	ADP
ejpam-5404	107	4	gaussian	gaussian	ADJ
ejpam-5404	107	5	white	white	ADJ
ejpam-5404	107	6	noise	noise	NOUN
ejpam-5404	107	7	in	in	ADP
ejpam-5404	107	8	the	the	DET
ejpam-5404	107	9	parameters	parameter	NOUN
ejpam-5404	107	10	a	a	DET
ejpam-5404	107	11	,	,	PUNCT
ejpam-5404	107	12	b	b	PROPN
ejpam-5404	107	13	,	,	PUNCT
ejpam-5404	107	14	c	c	NOUN
ejpam-5404	107	15	,	,	PUNCT
ejpam-5404	107	16	d	d	NOUN
ejpam-5404	107	17	,	,	PUNCT
ejpam-5404	107	18	e	e	PRON
ejpam-5404	107	19	represents	represent	VERB
ejpam-5404	107	20	the	the	DET
ejpam-5404	107	21	random	random	ADJ
ejpam-5404	107	22	fluctuations	fluctuation	NOUN
ejpam-5404	107	23	in	in	ADP
ejpam-5404	107	24	these	these	DET
ejpam-5404	107	25	parameters	parameter	NOUN
ejpam-5404	107	26	due	due	ADJ
ejpam-5404	107	27	to	to	ADP
ejpam-5404	107	28	various	various	ADJ
ejpam-5404	107	29	physiological	physiological	ADJ
ejpam-5404	107	30	and	and	CCONJ
ejpam-5404	107	31	environmental	environmental	ADJ
ejpam-5404	107	32	factors	factor	NOUN
ejpam-5404	107	33	.	.	PUNCT
ejpam-5404	108	1	biological	biological	ADJ
ejpam-5404	108	2	systems	system	NOUN
ejpam-5404	108	3	are	be	AUX
ejpam-5404	108	4	subject	subject	ADJ
ejpam-5404	108	5	to	to	ADP
ejpam-5404	108	6	random	random	ADJ
ejpam-5404	108	7	fluctuations	fluctuation	NOUN
ejpam-5404	108	8	arising	arise	VERB
ejpam-5404	108	9	from	from	ADP
ejpam-5404	108	10	various	various	ADJ
ejpam-5404	108	11	sources	source	NOUN
ejpam-5404	108	12	such	such	ADJ
ejpam-5404	108	13	as	as	ADP
ejpam-5404	108	14	hormonal	hormonal	ADJ
ejpam-5404	108	15	changes	change	NOUN
ejpam-5404	108	16	,	,	PUNCT
ejpam-5404	108	17	variations	variation	NOUN
ejpam-5404	108	18	in	in	ADP
ejpam-5404	108	19	dietary	dietary	ADJ
ejpam-5404	108	20	intake	intake	NOUN
ejpam-5404	108	21	,	,	PUNCT
ejpam-5404	108	22	physical	physical	ADJ
ejpam-5404	108	23	activity	activity	NOUN
ejpam-5404	108	24	,	,	PUNCT
ejpam-5404	108	25	and	and	CCONJ
ejpam-5404	108	26	stress	stress	NOUN
ejpam-5404	108	27	.	.	PUNCT
ejpam-5404	109	1	these	these	DET
ejpam-5404	109	2	fluctuations	fluctuation	NOUN
ejpam-5404	109	3	can	can	AUX
ejpam-5404	109	4	cause	cause	VERB
ejpam-5404	109	5	significant	significant	ADJ
ejpam-5404	109	6	changes	change	NOUN
ejpam-5404	109	7	in	in	ADP
ejpam-5404	109	8	glucose	glucose	NOUN
ejpam-5404	109	9	and	and	CCONJ
ejpam-5404	109	10	insulin	insulin	NOUN
ejpam-5404	109	11	levels	level	NOUN
ejpam-5404	109	12	.	.	PUNCT
ejpam-5404	110	1	by	by	ADP
ejpam-5404	110	2	incorporating	incorporate	VERB
ejpam-5404	110	3	stochastic	stochastic	ADJ
ejpam-5404	110	4	perturbations	perturbation	NOUN
ejpam-5404	110	5	,	,	PUNCT
ejpam-5404	110	6	the	the	DET
ejpam-5404	110	7	model	model	NOUN
ejpam-5404	110	8	can	can	AUX
ejpam-5404	110	9	account	account	VERB
ejpam-5404	110	10	for	for	ADP
ejpam-5404	110	11	these	these	DET
ejpam-5404	110	12	random	random	ADJ
ejpam-5404	110	13	influences	influence	NOUN
ejpam-5404	110	14	,	,	PUNCT
ejpam-5404	110	15	providing	provide	VERB
ejpam-5404	110	16	a	a	DET
ejpam-5404	110	17	more	more	ADV
ejpam-5404	110	18	realistic	realistic	ADJ
ejpam-5404	110	19	representation	representation	NOUN
ejpam-5404	110	20	of	of	ADP
ejpam-5404	110	21	the	the	DET
ejpam-5404	110	22	glucose	glucose	NOUN
ejpam-5404	110	23	-	-	PUNCT
ejpam-5404	110	24	insulin	insulin	NOUN
ejpam-5404	110	25	dynamics	dynamic	NOUN
ejpam-5404	110	26	.	.	PUNCT
ejpam-5404	111	1	gaussian	gaussian	ADJ
ejpam-5404	111	2	white	white	PROPN
ejpam-5404	111	3	noise	noise	NOUN
ejpam-5404	111	4	is	be	AUX
ejpam-5404	111	5	used	use	VERB
ejpam-5404	111	6	to	to	PART
ejpam-5404	111	7	model	model	VERB
ejpam-5404	111	8	the	the	DET
ejpam-5404	111	9	random	random	ADJ
ejpam-5404	111	10	perturbations	perturbation	NOUN
ejpam-5404	111	11	in	in	ADP
ejpam-5404	111	12	the	the	DET
ejpam-5404	111	13	parameters	parameter	NOUN
ejpam-5404	111	14	.	.	PUNCT
ejpam-5404	112	1	each	each	DET
ejpam-5404	112	2	parameter	parameter	NOUN
ejpam-5404	112	3	is	be	AUX
ejpam-5404	112	4	perturbed	perturb	VERB
ejpam-5404	112	5	by	by	ADP
ejpam-5404	112	6	an	an	DET
ejpam-5404	112	7	independent	independent	ADJ
ejpam-5404	112	8	brownian	brownian	ADJ
ejpam-5404	112	9	motion	motion	NOUN
ejpam-5404	112	10	bi(t	bi(t	NOUN
ejpam-5404	112	11	)	)	PUNCT
ejpam-5404	112	12	,	,	PUNCT
ejpam-5404	112	13	with	with	ADP
ejpam-5404	112	14	ξi	ξi	NOUN
ejpam-5404	112	15	controlling	control	VERB
ejpam-5404	112	16	the	the	DET
ejpam-5404	112	17	intensity	intensity	NOUN
ejpam-5404	112	18	of	of	ADP
ejpam-5404	112	19	the	the	DET
ejpam-5404	112	20	perturbation	perturbation	NOUN
ejpam-5404	112	21	.	.	PUNCT
ejpam-5404	113	1	this	this	DET
ejpam-5404	113	2	approach	approach	NOUN
ejpam-5404	113	3	allows	allow	VERB
ejpam-5404	113	4	the	the	DET
ejpam-5404	113	5	model	model	NOUN
ejpam-5404	113	6	to	to	PART
ejpam-5404	113	7	simulate	simulate	VERB
ejpam-5404	113	8	the	the	DET
ejpam-5404	113	9	unpredictable	unpredictable	ADJ
ejpam-5404	113	10	nature	nature	NOUN
ejpam-5404	113	11	of	of	ADP
ejpam-5404	113	12	physiological	physiological	ADJ
ejpam-5404	113	13	processes	process	NOUN
ejpam-5404	113	14	and	and	CCONJ
ejpam-5404	113	15	environmental	environmental	ADJ
ejpam-5404	113	16	factors	factor	NOUN
ejpam-5404	113	17	affecting	affect	VERB
ejpam-5404	113	18	glucose	glucose	NOUN
ejpam-5404	113	19	and	and	CCONJ
ejpam-5404	113	20	insulin	insulin	NOUN
ejpam-5404	113	21	regulation	regulation	NOUN
ejpam-5404	113	22	.	.	PUNCT
ejpam-5404	114	1	the	the	DET
ejpam-5404	114	2	stochastic	stochastic	ADJ
ejpam-5404	114	3	glucoseinsulin	glucoseinsulin	NOUN
ejpam-5404	114	4	model	model	NOUN
ejpam-5404	114	5	is	be	AUX
ejpam-5404	114	6	given	give	VERB
ejpam-5404	114	7	by	by	ADP
ejpam-5404	114	8	:	:	PUNCT
ejpam-5404	114	9	this	this	DET
ejpam-5404	114	10	stochastic	stochastic	ADJ
ejpam-5404	114	11	glucose	glucose	NOUN
ejpam-5404	114	12	-	-	PUNCT
ejpam-5404	114	13	insulin	insulin	NOUN
ejpam-5404	114	14	model	model	NOUN
ejpam-5404	114	15	is	be	AUX
ejpam-5404	114	16	defined	define	VERB
ejpam-5404	114	17	by	by	ADP
ejpam-5404	114	18	the	the	DET
ejpam-5404	114	19	following	follow	VERB
ejpam-5404	114	20	stochastic	stochastic	ADJ
ejpam-5404	114	21	differential	differential	ADJ
ejpam-5404	114	22	equations	equation	NOUN
ejpam-5404	114	23	dg	dg	VERB
ejpam-5404	115	1	=	=	SYM
ejpam-5404	115	2	(	(	PUNCT
ejpam-5404	115	3	gin	gin	NOUN
ejpam-5404	115	4	−	−	PROPN
ejpam-5404	115	5	ag−	ag−	PUNCT
ejpam-5404	115	6	bgi	bgi	PROPN
ejpam-5404	115	7	)	)	PUNCT
ejpam-5404	115	8	dt+	dt+	NOUN
ejpam-5404	115	9	σ1g(t)db1(t	σ1g(t)db1(t	PROPN
ejpam-5404	115	10	)	)	PUNCT
ejpam-5404	115	11	,	,	PUNCT
ejpam-5404	115	12	di	di	NOUN
ejpam-5404	115	13	=	=	PUNCT
ejpam-5404	115	14	(	(	PUNCT
ejpam-5404	115	15	iin	iin	NOUN
ejpam-5404	115	16	+	+	CCONJ
ejpam-5404	115	17	cg−	cg−	PUNCT
ejpam-5404	115	18	di	di	NOUN
ejpam-5404	115	19	e+	e+	VERB
ejpam-5404	115	20	i	i	NOUN
ejpam-5404	115	21	)	)	PUNCT
ejpam-5404	115	22	dt+	dt+	NOUN
ejpam-5404	115	23	σ2i(t)db2(t	σ2i(t)db2(t	NOUN
ejpam-5404	115	24	)	)	PUNCT
ejpam-5404	115	25	,	,	PUNCT
ejpam-5404	115	26	(	(	PUNCT
ejpam-5404	115	27	2	2	X
ejpam-5404	115	28	)	)	PUNCT
ejpam-5404	115	29	there	there	PRON
ejpam-5404	115	30	are	be	VERB
ejpam-5404	115	31	two	two	NUM
ejpam-5404	115	32	brownian	brownian	ADJ
ejpam-5404	115	33	motionsbi(t	motionsbi(t	NOUN
ejpam-5404	115	34	)	)	PUNCT
ejpam-5404	115	35	,	,	PUNCT
ejpam-5404	115	36	(	(	PUNCT
ejpam-5404	115	37	i	i	NOUN
ejpam-5404	115	38	=	=	NOUN
ejpam-5404	115	39	1	1	NUM
ejpam-5404	115	40	,	,	PUNCT
ejpam-5404	115	41	2	2	NUM
ejpam-5404	115	42	)	)	PUNCT
ejpam-5404	115	43	.	.	PUNCT
ejpam-5404	116	1	the	the	DET
ejpam-5404	116	2	probability	probability	NOUN
ejpam-5404	116	3	space	space	NOUN
ejpam-5404	116	4	(	(	PUNCT
ejpam-5404	116	5	ω	ω	PROPN
ejpam-5404	116	6	,	,	PUNCT
ejpam-5404	116	7	f	f	PROPN
ejpam-5404	116	8	,	,	PUNCT
ejpam-5404	116	9	{	{	PUNCT
ejpam-5404	116	10	ft}t≥0	ft}t≥0	NOUN
ejpam-5404	116	11	,	,	PUNCT
ejpam-5404	116	12	p	p	NOUN
ejpam-5404	116	13	)	)	PUNCT
ejpam-5404	116	14	contains	contain	VERB
ejpam-5404	116	15	all	all	DET
ejpam-5404	116	16	sets	set	NOUN
ejpam-5404	116	17	of	of	ADP
ejpam-5404	116	18	{	{	PUNCT
ejpam-5404	116	19	ft}t≥0	ft}t≥0	NOUN
ejpam-5404	116	20	that	that	PRON
ejpam-5404	116	21	meet	meet	VERB
ejpam-5404	116	22	the	the	DET
ejpam-5404	116	23	usual	usual	ADJ
ejpam-5404	116	24	conditions	condition	NOUN
ejpam-5404	116	25	(	(	PUNCT
ejpam-5404	116	26	i.e.	i.e.	X
ejpam-5404	116	27	it	it	PRON
ejpam-5404	116	28	is	be	AUX
ejpam-5404	116	29	increasing	increase	VERB
ejpam-5404	116	30	and	and	CCONJ
ejpam-5404	116	31	right	right	ADV
ejpam-5404	116	32	continuous	continuous	ADJ
ejpam-5404	116	33	while	while	SCONJ
ejpam-5404	116	34	f0	f0	PROPN
ejpam-5404	116	35	contains	contain	VERB
ejpam-5404	116	36	all	all	DET
ejpam-5404	116	37	p	p	ADJ
ejpam-5404	116	38	-	-	PUNCT
ejpam-5404	116	39	null	null	ADJ
ejpam-5404	116	40	sets	set	NOUN
ejpam-5404	116	41	)	)	PUNCT
ejpam-5404	116	42	.	.	PUNCT
ejpam-5404	117	1	σi	σi	PRON
ejpam-5404	117	2	and	and	CCONJ
ejpam-5404	117	3	(	(	PUNCT
ejpam-5404	117	4	i	i	NOUN
ejpam-5404	117	5	=	=	NOUN
ejpam-5404	117	6	1	1	NUM
ejpam-5404	117	7	,	,	PUNCT
ejpam-5404	117	8	2	2	NUM
ejpam-5404	117	9	)	)	PUNCT
ejpam-5404	117	10	represent	represent	VERB
ejpam-5404	117	11	noise	noise	NOUN
ejpam-5404	117	12	intensity	intensity	NOUN
ejpam-5404	117	13	.	.	PUNCT
ejpam-5404	118	1	the	the	DET
ejpam-5404	118	2	parameters	parameter	NOUN
ejpam-5404	118	3	in	in	ADP
ejpam-5404	118	4	the	the	DET
ejpam-5404	118	5	stochastic	stochastic	ADJ
ejpam-5404	118	6	glucose	glucose	NOUN
ejpam-5404	118	7	-	-	PUNCT
ejpam-5404	118	8	insulin	insulin	NOUN
ejpam-5404	118	9	model	model	NOUN
ejpam-5404	118	10	have	have	VERB
ejpam-5404	118	11	specific	specific	ADJ
ejpam-5404	118	12	biological	biological	ADJ
ejpam-5404	118	13	interpretations	interpretation	NOUN
ejpam-5404	118	14	:	:	PUNCT
ejpam-5404	119	1	•	•	NUM
ejpam-5404	119	2	ξi	ξi	NOUN
ejpam-5404	119	3	:	:	PUNCT
ejpam-5404	119	4	intensity	intensity	NOUN
ejpam-5404	119	5	of	of	ADP
ejpam-5404	119	6	the	the	DET
ejpam-5404	119	7	stochastic	stochastic	ADJ
ejpam-5404	119	8	perturbations	perturbation	NOUN
ejpam-5404	119	9	affecting	affect	VERB
ejpam-5404	119	10	each	each	DET
ejpam-5404	119	11	parameter	parameter	NOUN
ejpam-5404	119	12	.	.	PUNCT
ejpam-5404	120	1	•	•	NUM
ejpam-5404	120	2	bi(t	bi(t	NOUN
ejpam-5404	120	3	):	):	PUNCT
ejpam-5404	120	4	independent	independent	ADJ
ejpam-5404	120	5	brownian	brownian	ADJ
ejpam-5404	120	6	motions	motion	NOUN
ejpam-5404	120	7	representing	represent	VERB
ejpam-5404	120	8	random	random	ADJ
ejpam-5404	120	9	fluctuations	fluctuation	NOUN
ejpam-5404	120	10	in	in	ADP
ejpam-5404	120	11	the	the	DET
ejpam-5404	120	12	parameters	parameter	NOUN
ejpam-5404	120	13	.	.	PUNCT
ejpam-5404	121	1	by	by	ADP
ejpam-5404	121	2	incorporating	incorporate	VERB
ejpam-5404	121	3	derivatives	derivative	NOUN
ejpam-5404	121	4	and	and	CCONJ
ejpam-5404	121	5	stochastic	stochastic	ADJ
ejpam-5404	121	6	perturbations	perturbation	NOUN
ejpam-5404	121	7	,	,	PUNCT
ejpam-5404	121	8	the	the	DET
ejpam-5404	121	9	glucose	glucose	NOUN
ejpam-5404	121	10	-	-	PUNCT
ejpam-5404	121	11	insulin	insulin	NOUN
ejpam-5404	121	12	model	model	NOUN
ejpam-5404	121	13	becomes	become	VERB
ejpam-5404	121	14	more	more	ADV
ejpam-5404	121	15	realistic	realistic	ADJ
ejpam-5404	121	16	and	and	CCONJ
ejpam-5404	121	17	accurate	accurate	ADJ
ejpam-5404	121	18	in	in	ADP
ejpam-5404	121	19	representing	represent	VERB
ejpam-5404	121	20	the	the	DET
ejpam-5404	121	21	physiological	physiological	ADJ
ejpam-5404	121	22	processes	process	NOUN
ejpam-5404	121	23	.	.	PUNCT
ejpam-5404	122	1	this	this	PRON
ejpam-5404	122	2	allows	allow	VERB
ejpam-5404	122	3	epidemiologists	epidemiologist	NOUN
ejpam-5404	122	4	to	to	PART
ejpam-5404	122	5	better	well	ADV
ejpam-5404	122	6	understand	understand	VERB
ejpam-5404	122	7	the	the	DET
ejpam-5404	122	8	spread	spread	NOUN
ejpam-5404	122	9	of	of	ADP
ejpam-5404	122	10	diseases	disease	NOUN
ejpam-5404	122	11	and	and	CCONJ
ejpam-5404	122	12	develop	develop	VERB
ejpam-5404	122	13	strategies	strategy	NOUN
ejpam-5404	122	14	to	to	PART
ejpam-5404	122	15	contain	contain	VERB
ejpam-5404	122	16	them	they	PRON
ejpam-5404	122	17	.	.	PUNCT
ejpam-5404	123	1	additionally	additionally	ADV
ejpam-5404	123	2	,	,	PUNCT
ejpam-5404	123	3	epidemiology	epidemiology	NOUN
ejpam-5404	123	4	is	be	AUX
ejpam-5404	123	5	important	important	ADJ
ejpam-5404	123	6	for	for	ADP
ejpam-5404	123	7	understanding	understand	VERB
ejpam-5404	123	8	the	the	DET
ejpam-5404	123	9	effectiveness	effectiveness	NOUN
ejpam-5404	123	10	of	of	ADP
ejpam-5404	123	11	public	public	ADJ
ejpam-5404	123	12	health	health	NOUN
ejpam-5404	123	13	interventions	intervention	NOUN
ejpam-5404	123	14	.	.	PUNCT
ejpam-5404	124	1	our	our	PRON
ejpam-5404	124	2	study	study	NOUN
ejpam-5404	124	3	extends	extend	VERB
ejpam-5404	124	4	these	these	DET
ejpam-5404	124	5	ideas	idea	NOUN
ejpam-5404	124	6	by	by	ADP
ejpam-5404	124	7	applying	apply	VERB
ejpam-5404	124	8	stochastic	stochastic	ADJ
ejpam-5404	124	9	differential	differential	ADJ
ejpam-5404	124	10	equations	equation	NOUN
ejpam-5404	124	11	to	to	PART
ejpam-5404	124	12	model	model	VERB
ejpam-5404	124	13	glucose	glucose	NOUN
ejpam-5404	124	14	-	-	PUNCT
ejpam-5404	124	15	insulin	insulin	NOUN
ejpam-5404	124	16	interactions	interaction	NOUN
ejpam-5404	124	17	.	.	PUNCT
ejpam-5404	125	1	this	this	DET
ejpam-5404	125	2	approach	approach	NOUN
ejpam-5404	125	3	acknowledges	acknowledge	VERB
ejpam-5404	125	4	biological	biological	ADJ
ejpam-5404	125	5	systems	system	NOUN
ejpam-5404	125	6	’	'	PUNCT
ejpam-5404	125	7	inherent	inherent	ADJ
ejpam-5404	125	8	randomness	randomness	NOUN
ejpam-5404	125	9	,	,	PUNCT
ejpam-5404	125	10	which	which	PRON
ejpam-5404	125	11	traditional	traditional	ADJ
ejpam-5404	125	12	deterministic	deterministic	ADJ
ejpam-5404	125	13	models	model	NOUN
ejpam-5404	125	14	fail	fail	VERB
ejpam-5404	125	15	to	to	PART
ejpam-5404	125	16	capture	capture	VERB
ejpam-5404	125	17	.	.	PUNCT
ejpam-5404	126	1	by	by	ADP
ejpam-5404	126	2	incorporating	incorporate	VERB
ejpam-5404	126	3	the	the	DET
ejpam-5404	126	4	michaelis	michaeli	NOUN
ejpam-5404	126	5	-	-	PUNCT
ejpam-5404	126	6	menten	menten	ADJ
ejpam-5404	126	7	function	function	NOUN
ejpam-5404	126	8	,	,	PUNCT
ejpam-5404	126	9	our	our	PRON
ejpam-5404	126	10	model	model	NOUN
ejpam-5404	126	11	accounts	account	VERB
ejpam-5404	126	12	for	for	ADP
ejpam-5404	126	13	insulin	insulin	NOUN
ejpam-5404	126	14	’s	’s	PART
ejpam-5404	126	15	nonlinear	nonlinear	ADJ
ejpam-5404	126	16	degradation	degradation	NOUN
ejpam-5404	126	17	rate	rate	NOUN
ejpam-5404	126	18	,	,	PUNCT
ejpam-5404	126	19	providing	provide	VERB
ejpam-5404	126	20	a	a	DET
ejpam-5404	126	21	more	more	ADV
ejpam-5404	126	22	realistic	realistic	ADJ
ejpam-5404	126	23	representation	representation	NOUN
ejpam-5404	126	24	of	of	ADP
ejpam-5404	126	25	glucose	glucose	NOUN
ejpam-5404	126	26	-	-	PUNCT
ejpam-5404	126	27	insulin	insulin	NOUN
ejpam-5404	126	28	dynamics	dynamic	NOUN
ejpam-5404	126	29	.	.	PUNCT
ejpam-5404	127	1	our	our	PRON
ejpam-5404	127	2	stochastic	stochastic	ADJ
ejpam-5404	127	3	model	model	NOUN
ejpam-5404	127	4	captures	capture	VERB
ejpam-5404	127	5	variability	variability	NOUN
ejpam-5404	127	6	and	and	CCONJ
ejpam-5404	127	7	randomness	randomness	NOUN
ejpam-5404	127	8	in	in	ADP
ejpam-5404	127	9	the	the	DET
ejpam-5404	127	10	glucose	glucose	NOUN
ejpam-5404	127	11	-	-	PUNCT
ejpam-5404	127	12	insulin	insulin	NOUN
ejpam-5404	127	13	system	system	NOUN
ejpam-5404	127	14	using	use	VERB
ejpam-5404	127	15	the	the	DET
ejpam-5404	127	16	milstein	milstein	ADJ
ejpam-5404	127	17	method	method	NOUN
ejpam-5404	127	18	.	.	PUNCT
ejpam-5404	128	1	the	the	DET
ejpam-5404	128	2	comparison	comparison	NOUN
ejpam-5404	128	3	between	between	ADP
ejpam-5404	128	4	stochastic	stochastic	ADJ
ejpam-5404	128	5	and	and	CCONJ
ejpam-5404	128	6	deterministic	deterministic	ADJ
ejpam-5404	128	7	models	model	NOUN
ejpam-5404	128	8	highlights	highlight	VERB
ejpam-5404	128	9	the	the	DET
ejpam-5404	128	10	necessity	necessity	NOUN
ejpam-5404	128	11	of	of	ADP
ejpam-5404	128	12	incorporating	incorporate	VERB
ejpam-5404	128	13	stochastic	stochastic	ADJ
ejpam-5404	128	14	elements	element	NOUN
ejpam-5404	128	15	to	to	PART
ejpam-5404	128	16	achieve	achieve	VERB
ejpam-5404	128	17	more	more	ADV
ejpam-5404	128	18	accurate	accurate	ADJ
ejpam-5404	128	19	and	and	CCONJ
ejpam-5404	128	20	reliable	reliable	ADJ
ejpam-5404	128	21	predictions	prediction	NOUN
ejpam-5404	128	22	.	.	PUNCT
ejpam-5404	129	1	our	our	PRON
ejpam-5404	129	2	sensitivity	sensitivity	NOUN
ejpam-5404	129	3	analysis	analysis	NOUN
ejpam-5404	129	4	identified	identify	VERB
ejpam-5404	129	5	key	key	ADJ
ejpam-5404	129	6	parameters	parameter	NOUN
ejpam-5404	129	7	influencing	influence	VERB
ejpam-5404	129	8	s.	s.	PROPN
ejpam-5404	129	9	m.	m.	PROPN
ejpam-5404	129	10	alzahrani	alzahrani	PROPN
ejpam-5404	129	11	/	/	SYM
ejpam-5404	129	12	eur	eur	PROPN
ejpam-5404	129	13	.	.	PUNCT
ejpam-5404	130	1	j.	j.	PROPN
ejpam-5404	130	2	pure	pure	PROPN
ejpam-5404	130	3	appl	appl	PROPN
ejpam-5404	130	4	.	.	PROPN
ejpam-5404	130	5	math	math	PROPN
ejpam-5404	130	6	,	,	PUNCT
ejpam-5404	130	7	18	18	NUM
ejpam-5404	130	8	(	(	PUNCT
ejpam-5404	130	9	1	1	NUM
ejpam-5404	130	10	)	)	PUNCT
ejpam-5404	130	11	(	(	PUNCT
ejpam-5404	130	12	2025	2025	NUM
ejpam-5404	130	13	)	)	PUNCT
ejpam-5404	130	14	,	,	PUNCT
ejpam-5404	130	15	5404	5404	NUM
ejpam-5404	130	16	6	6	NUM
ejpam-5404	130	17	of	of	ADP
ejpam-5404	130	18	22	22	NUM
ejpam-5404	130	19	system	system	NOUN
ejpam-5404	130	20	behavior	behavior	NOUN
ejpam-5404	130	21	,	,	PUNCT
ejpam-5404	130	22	guiding	guide	VERB
ejpam-5404	130	23	personalized	personalize	VERB
ejpam-5404	130	24	intervention	intervention	NOUN
ejpam-5404	130	25	strategies	strategy	NOUN
ejpam-5404	130	26	.	.	PUNCT
ejpam-5404	131	1	our	our	PRON
ejpam-5404	131	2	findings	finding	NOUN
ejpam-5404	131	3	underscore	underscore	VERB
ejpam-5404	131	4	the	the	DET
ejpam-5404	131	5	significance	significance	NOUN
ejpam-5404	131	6	of	of	ADP
ejpam-5404	131	7	stochastic	stochastic	ADJ
ejpam-5404	131	8	modeling	modeling	NOUN
ejpam-5404	131	9	in	in	ADP
ejpam-5404	131	10	understanding	understand	VERB
ejpam-5404	131	11	diabetes	diabetes	NOUN
ejpam-5404	131	12	dynamics	dynamic	NOUN
ejpam-5404	131	13	.	.	PUNCT
ejpam-5404	132	1	the	the	DET
ejpam-5404	132	2	model	model	NOUN
ejpam-5404	132	3	’s	’s	PART
ejpam-5404	132	4	ability	ability	NOUN
ejpam-5404	132	5	to	to	PART
ejpam-5404	132	6	capture	capture	VERB
ejpam-5404	132	7	random	random	ADJ
ejpam-5404	132	8	fluctuations	fluctuation	NOUN
ejpam-5404	132	9	in	in	ADP
ejpam-5404	132	10	glucose	glucose	NOUN
ejpam-5404	132	11	and	and	CCONJ
ejpam-5404	132	12	insulin	insulin	NOUN
ejpam-5404	132	13	levels	level	NOUN
ejpam-5404	132	14	offers	offer	VERB
ejpam-5404	132	15	a	a	DET
ejpam-5404	132	16	powerful	powerful	ADJ
ejpam-5404	132	17	tool	tool	NOUN
ejpam-5404	132	18	for	for	ADP
ejpam-5404	132	19	managing	manage	VERB
ejpam-5404	132	20	diabetes	diabete	NOUN
ejpam-5404	132	21	.	.	PUNCT
ejpam-5404	133	1	this	this	PRON
ejpam-5404	133	2	is	be	AUX
ejpam-5404	133	3	especially	especially	ADV
ejpam-5404	133	4	important	important	ADJ
ejpam-5404	133	5	for	for	ADP
ejpam-5404	133	6	patients	patient	NOUN
ejpam-5404	133	7	with	with	ADP
ejpam-5404	133	8	type	type	NOUN
ejpam-5404	133	9	1	1	NUM
ejpam-5404	133	10	diabetes	diabete	NOUN
ejpam-5404	133	11	who	who	PRON
ejpam-5404	133	12	experience	experience	VERB
ejpam-5404	133	13	significant	significant	ADJ
ejpam-5404	133	14	glucose	glucose	NOUN
ejpam-5404	133	15	variability	variability	NOUN
ejpam-5404	133	16	.	.	PUNCT
ejpam-5404	134	1	the	the	DET
ejpam-5404	134	2	integration	integration	NOUN
ejpam-5404	134	3	of	of	ADP
ejpam-5404	134	4	stochastic	stochastic	ADJ
ejpam-5404	134	5	elements	element	NOUN
ejpam-5404	134	6	provides	provide	VERB
ejpam-5404	134	7	insights	insight	NOUN
ejpam-5404	134	8	into	into	ADP
ejpam-5404	134	9	the	the	DET
ejpam-5404	134	10	disease	disease	NOUN
ejpam-5404	134	11	’s	’s	PART
ejpam-5404	134	12	variability	variability	NOUN
ejpam-5404	134	13	and	and	CCONJ
ejpam-5404	134	14	unpredictability	unpredictability	NOUN
ejpam-5404	134	15	,	,	PUNCT
ejpam-5404	134	16	which	which	PRON
ejpam-5404	134	17	are	be	AUX
ejpam-5404	134	18	critical	critical	ADJ
ejpam-5404	134	19	for	for	ADP
ejpam-5404	134	20	developing	develop	VERB
ejpam-5404	134	21	effective	effective	ADJ
ejpam-5404	134	22	management	management	NOUN
ejpam-5404	134	23	strategies	strategy	NOUN
ejpam-5404	134	24	.	.	PUNCT
ejpam-5404	135	1	the	the	DET
ejpam-5404	135	2	numerical	numerical	ADJ
ejpam-5404	135	3	simulations	simulation	NOUN
ejpam-5404	135	4	,	,	PUNCT
ejpam-5404	135	5	supported	support	VERB
ejpam-5404	135	6	by	by	ADP
ejpam-5404	135	7	graphs	graph	NOUN
ejpam-5404	135	8	and	and	CCONJ
ejpam-5404	135	9	error	error	NOUN
ejpam-5404	135	10	tables	table	NOUN
ejpam-5404	135	11	,	,	PUNCT
ejpam-5404	135	12	validated	validate	VERB
ejpam-5404	135	13	our	our	PRON
ejpam-5404	135	14	theoretical	theoretical	ADJ
ejpam-5404	135	15	findings	finding	NOUN
ejpam-5404	135	16	and	and	CCONJ
ejpam-5404	135	17	demonstrated	demonstrate	VERB
ejpam-5404	135	18	the	the	DET
ejpam-5404	135	19	robustness	robustness	NOUN
ejpam-5404	135	20	of	of	ADP
ejpam-5404	135	21	the	the	DET
ejpam-5404	135	22	milstein	milstein	ADJ
ejpam-5404	135	23	method	method	NOUN
ejpam-5404	135	24	.	.	PUNCT
ejpam-5404	136	1	the	the	DET
ejpam-5404	136	2	consistency	consistency	NOUN
ejpam-5404	136	3	between	between	ADP
ejpam-5404	136	4	analytical	analytical	ADJ
ejpam-5404	136	5	and	and	CCONJ
ejpam-5404	136	6	simulation	simulation	NOUN
ejpam-5404	136	7	results	result	NOUN
ejpam-5404	136	8	suggests	suggest	VERB
ejpam-5404	136	9	that	that	SCONJ
ejpam-5404	136	10	our	our	PRON
ejpam-5404	136	11	model	model	NOUN
ejpam-5404	136	12	can	can	AUX
ejpam-5404	136	13	be	be	AUX
ejpam-5404	136	14	applied	apply	VERB
ejpam-5404	136	15	to	to	ADP
ejpam-5404	136	16	real	real	ADJ
ejpam-5404	136	17	-	-	PUNCT
ejpam-5404	136	18	world	world	NOUN
ejpam-5404	136	19	scenarios	scenario	NOUN
ejpam-5404	136	20	,	,	PUNCT
ejpam-5404	136	21	offering	offer	VERB
ejpam-5404	136	22	potential	potential	ADJ
ejpam-5404	136	23	improvements	improvement	NOUN
ejpam-5404	136	24	in	in	ADP
ejpam-5404	136	25	diabetes	diabetes	NOUN
ejpam-5404	136	26	treatment	treatment	NOUN
ejpam-5404	136	27	and	and	CCONJ
ejpam-5404	136	28	management	management	NOUN
ejpam-5404	136	29	.	.	PUNCT
ejpam-5404	137	1	however	however	ADV
ejpam-5404	137	2	,	,	PUNCT
ejpam-5404	137	3	calculus	calculus	NOUN
ejpam-5404	137	4	in	in	ADP
ejpam-5404	137	5	epidemiological	epidemiological	ADJ
ejpam-5404	137	6	modeling	modeling	NOUN
ejpam-5404	137	7	,	,	PUNCT
ejpam-5404	137	8	including	include	VERB
ejpam-5404	137	9	glucose	glucose	NOUN
ejpam-5404	137	10	-	-	PUNCT
ejpam-5404	137	11	insulin	insulin	NOUN
ejpam-5404	137	12	dynamics	dynamic	NOUN
ejpam-5404	137	13	,	,	PUNCT
ejpam-5404	137	14	has	have	VERB
ejpam-5404	137	15	certain	certain	ADJ
ejpam-5404	137	16	limitations	limitation	NOUN
ejpam-5404	137	17	.	.	PUNCT
ejpam-5404	138	1	calculus	calculus	NOUN
ejpam-5404	138	2	non	non	ADJ
ejpam-5404	138	3	-	-	ADJ
ejpam-5404	138	4	integer	integer	ADJ
ejpam-5404	138	5	order	order	NOUN
ejpam-5404	138	6	derivatives	derivative	NOUN
ejpam-5404	138	7	do	do	AUX
ejpam-5404	138	8	not	not	PART
ejpam-5404	138	9	always	always	ADV
ejpam-5404	138	10	have	have	VERB
ejpam-5404	138	11	a	a	DET
ejpam-5404	138	12	direct	direct	ADJ
ejpam-5404	138	13	physical	physical	ADJ
ejpam-5404	138	14	interpretation	interpretation	NOUN
ejpam-5404	138	15	,	,	PUNCT
ejpam-5404	138	16	which	which	PRON
ejpam-5404	138	17	can	can	AUX
ejpam-5404	138	18	complicate	complicate	VERB
ejpam-5404	138	19	epidemic	epidemic	NOUN
ejpam-5404	138	20	dynamics	dynamic	NOUN
ejpam-5404	138	21	.	.	PUNCT
ejpam-5404	139	1	the	the	DET
ejpam-5404	139	2	michaelis	michaelis	ADJ
ejpam-5404	139	3	-	-	PUNCT
ejpam-5404	139	4	menten	menten	ADJ
ejpam-5404	139	5	function	function	NOUN
ejpam-5404	139	6	and	and	CCONJ
ejpam-5404	139	7	stochastic	stochastic	ADJ
ejpam-5404	139	8	elements	element	NOUN
ejpam-5404	139	9	are	be	AUX
ejpam-5404	139	10	used	use	VERB
ejpam-5404	139	11	in	in	ADP
ejpam-5404	139	12	our	our	PRON
ejpam-5404	139	13	study	study	NOUN
ejpam-5404	139	14	to	to	PART
ejpam-5404	139	15	advance	advance	VERB
ejpam-5404	139	16	diabetes	diabetes	NOUN
ejpam-5404	139	17	mathematical	mathematical	ADJ
ejpam-5404	139	18	modeling	modeling	NOUN
ejpam-5404	139	19	.	.	PUNCT
ejpam-5404	140	1	the	the	DET
ejpam-5404	140	2	results	result	NOUN
ejpam-5404	140	3	highlight	highlight	VERB
ejpam-5404	140	4	the	the	DET
ejpam-5404	140	5	importance	importance	NOUN
ejpam-5404	140	6	of	of	ADP
ejpam-5404	140	7	stochastic	stochastic	ADJ
ejpam-5404	140	8	modeling	modeling	NOUN
ejpam-5404	140	9	in	in	ADP
ejpam-5404	140	10	capturing	capture	VERB
ejpam-5404	140	11	the	the	DET
ejpam-5404	140	12	complexity	complexity	NOUN
ejpam-5404	140	13	and	and	CCONJ
ejpam-5404	140	14	variability	variability	NOUN
ejpam-5404	140	15	of	of	ADP
ejpam-5404	140	16	biological	biological	ADJ
ejpam-5404	140	17	systems	system	NOUN
ejpam-5404	140	18	.	.	PUNCT
ejpam-5404	141	1	this	this	PRON
ejpam-5404	141	2	paves	pave	VERB
ejpam-5404	141	3	the	the	DET
ejpam-5404	141	4	way	way	NOUN
ejpam-5404	141	5	for	for	ADP
ejpam-5404	141	6	more	more	ADV
ejpam-5404	141	7	effective	effective	ADJ
ejpam-5404	141	8	and	and	CCONJ
ejpam-5404	141	9	personalized	personalized	ADJ
ejpam-5404	141	10	diabetes	diabetes	NOUN
ejpam-5404	141	11	management	management	NOUN
ejpam-5404	141	12	strategies	strategy	NOUN
ejpam-5404	141	13	.	.	PUNCT
ejpam-5404	142	1	future	future	ADJ
ejpam-5404	142	2	research	research	NOUN
ejpam-5404	142	3	should	should	AUX
ejpam-5404	142	4	continue	continue	VERB
ejpam-5404	142	5	to	to	PART
ejpam-5404	142	6	explore	explore	VERB
ejpam-5404	142	7	the	the	DET
ejpam-5404	142	8	integration	integration	NOUN
ejpam-5404	142	9	of	of	ADP
ejpam-5404	142	10	additional	additional	ADJ
ejpam-5404	142	11	biological	biological	ADJ
ejpam-5404	142	12	factors	factor	NOUN
ejpam-5404	142	13	and	and	CCONJ
ejpam-5404	142	14	real	real	ADJ
ejpam-5404	142	15	-	-	PUNCT
ejpam-5404	142	16	time	time	NOUN
ejpam-5404	142	17	data	datum	NOUN
ejpam-5404	142	18	to	to	PART
ejpam-5404	142	19	further	far	ADV
ejpam-5404	142	20	enhance	enhance	VERB
ejpam-5404	142	21	the	the	DET
ejpam-5404	142	22	model	model	NOUN
ejpam-5404	142	23	’s	’s	PART
ejpam-5404	142	24	accuracy	accuracy	NOUN
ejpam-5404	142	25	and	and	CCONJ
ejpam-5404	142	26	applicability	applicability	NOUN
ejpam-5404	142	27	in	in	ADP
ejpam-5404	142	28	clinical	clinical	ADJ
ejpam-5404	142	29	settings	setting	NOUN
ejpam-5404	142	30	.	.	PUNCT
ejpam-5404	143	1	3	3	X
ejpam-5404	143	2	.	.	X
ejpam-5404	143	3	background	background	NOUN
ejpam-5404	143	4	material	material	NOUN
ejpam-5404	143	5	definition	definition	NOUN
ejpam-5404	143	6	1	1	NUM
ejpam-5404	143	7	(	(	PUNCT
ejpam-5404	143	8	[	[	X
ejpam-5404	143	9	19	19	NUM
ejpam-5404	143	10	]	]	NUM
ejpam-5404	143	11	)	)	PUNCT
ejpam-5404	143	12	.	.	PUNCT
ejpam-5404	144	1	the	the	DET
ejpam-5404	144	2	wiener	wiener	NOUN
ejpam-5404	144	3	process	process	NOUN
ejpam-5404	144	4	is	be	AUX
ejpam-5404	144	5	defined	define	VERB
ejpam-5404	144	6	as	as	ADP
ejpam-5404	144	7	(	(	PUNCT
ejpam-5404	144	8	b(t))t≥0	b(t))t≥0	X
ejpam-5404	144	9	when	when	SCONJ
ejpam-5404	144	10	(	(	PUNCT
ejpam-5404	144	11	i	i	NOUN
ejpam-5404	144	12	)	)	PUNCT
ejpam-5404	144	13	b(0	b(0	PROPN
ejpam-5404	144	14	)	)	PUNCT
ejpam-5404	144	15	=	=	SYM
ejpam-5404	144	16	0,p−	0,p−	NOUN
ejpam-5404	145	1	a.s	a.s	PROPN
ejpam-5404	145	2	.	.	PROPN
ejpam-5404	145	3	(	(	PUNCT
ejpam-5404	145	4	ii	ii	NOUN
ejpam-5404	145	5	)	)	PUNCT
ejpam-5404	145	6	for	for	ADP
ejpam-5404	145	7	every	every	DET
ejpam-5404	145	8	0	0	NUM
ejpam-5404	145	9	≤	≤	NUM
ejpam-5404	145	10	r	r	NOUN
ejpam-5404	145	11	<	<	X
ejpam-5404	145	12	t	t	PROPN
ejpam-5404	145	13	,	,	PUNCT
ejpam-5404	145	14	the	the	DET
ejpam-5404	145	15	quantity	quantity	NOUN
ejpam-5404	145	16	b(t)−b(r	b(t)−b(r	NOUN
ejpam-5404	145	17	)	)	PUNCT
ejpam-5404	145	18	are	be	AUX
ejpam-5404	145	19	independent	independent	ADJ
ejpam-5404	145	20	of	of	ADP
ejpam-5404	145	21	fr	fr	PROPN
ejpam-5404	145	22	.	.	PUNCT
ejpam-5404	146	1	(	(	PUNCT
ejpam-5404	146	2	iii	iii	X
ejpam-5404	146	3	)	)	PUNCT
ejpam-5404	146	4	for	for	ADP
ejpam-5404	146	5	every	every	DET
ejpam-5404	146	6	0	0	NUM
ejpam-5404	146	7	≤	≤	NUM
ejpam-5404	146	8	r	r	NOUN
ejpam-5404	146	9	<	<	X
ejpam-5404	146	10	t	t	PROPN
ejpam-5404	146	11	,	,	PUNCT
ejpam-5404	146	12	then	then	ADV
ejpam-5404	146	13	b(t)−b(r	b(t)−b(r	NOUN
ejpam-5404	146	14	)	)	PUNCT
ejpam-5404	146	15	∽	∽	NUM
ejpam-5404	146	16	n	n	NOUN
ejpam-5404	146	17	(	(	PUNCT
ejpam-5404	146	18	0	0	NUM
ejpam-5404	146	19	,	,	PUNCT
ejpam-5404	146	20	t−	t−	PROPN
ejpam-5404	146	21	r	r	NOUN
ejpam-5404	146	22	)	)	PUNCT
ejpam-5404	146	23	.	.	PUNCT
ejpam-5404	147	1	definition	definition	NOUN
ejpam-5404	147	2	2	2	NUM
ejpam-5404	147	3	.	.	PUNCT
ejpam-5404	148	1	a	a	DET
ejpam-5404	148	2	stochastic	stochastic	ADJ
ejpam-5404	148	3	differential	differential	ADJ
ejpam-5404	148	4	equation	equation	NOUN
ejpam-5404	148	5	(	(	PUNCT
ejpam-5404	148	6	sde	sde	PROPN
ejpam-5404	148	7	)	)	PUNCT
ejpam-5404	148	8	is	be	AUX
ejpam-5404	148	9	defined	define	VERB
ejpam-5404	148	10	by	by	ADP
ejpam-5404	148	11	:	:	PUNCT
ejpam-5404	148	12	dy(t	dy(t	NUM
ejpam-5404	148	13	)	)	PUNCT
ejpam-5404	149	1	=	=	SYM
ejpam-5404	149	2	f(t	f(t	NOUN
ejpam-5404	149	3	,	,	PUNCT
ejpam-5404	149	4	y(t))dt+g(t	y(t))dt+g(t	NUM
ejpam-5404	149	5	,	,	PUNCT
ejpam-5404	149	6	y(t))db(t	y(t))db(t	PROPN
ejpam-5404	149	7	)	)	PUNCT
ejpam-5404	149	8	,	,	PUNCT
ejpam-5404	149	9	with	with	ADP
ejpam-5404	149	10	y0	y0	PROPN
ejpam-5404	149	11	=	=	SYM
ejpam-5404	149	12	y(0	y(0	PROPN
ejpam-5404	149	13	)	)	PUNCT
ejpam-5404	149	14	,	,	PUNCT
ejpam-5404	149	15	b(t	b(t	PROPN
ejpam-5404	149	16	)	)	PUNCT
ejpam-5404	149	17	is	be	AUX
ejpam-5404	149	18	a	a	DET
ejpam-5404	149	19	wiener	wiener	NOUN
ejpam-5404	149	20	process	process	NOUN
ejpam-5404	149	21	of	of	ADP
ejpam-5404	149	22	dimension	dimension	NOUN
ejpam-5404	149	23	n	n	CCONJ
ejpam-5404	149	24	,	,	PUNCT
ejpam-5404	149	25	g	g	PROPN
ejpam-5404	149	26	is	be	AUX
ejpam-5404	149	27	the	the	DET
ejpam-5404	149	28	diffusion	diffusion	NOUN
ejpam-5404	149	29	coefficient	coefficient	NOUN
ejpam-5404	149	30	,	,	PUNCT
ejpam-5404	149	31	and	and	CCONJ
ejpam-5404	149	32	f	f	PROPN
ejpam-5404	149	33	is	be	AUX
ejpam-5404	149	34	the	the	DET
ejpam-5404	149	35	drift	drift	NOUN
ejpam-5404	149	36	coefficient	coefficient	NOUN
ejpam-5404	149	37	.	.	PUNCT
ejpam-5404	150	1	for	for	ADP
ejpam-5404	150	2	every	every	DET
ejpam-5404	150	3	t	t	NOUN
ejpam-5404	150	4	and	and	CCONJ
ejpam-5404	150	5	n	n	CCONJ
ejpam-5404	150	6	,	,	PUNCT
ejpam-5404	150	7	there	there	PRON
ejpam-5404	150	8	exist	exist	VERB
ejpam-5404	150	9	a	a	DET
ejpam-5404	150	10	constant	constant	ADJ
ejpam-5404	150	11	k	k	NOUN
ejpam-5404	150	12	that	that	PRON
ejpam-5404	150	13	depends	depend	VERB
ejpam-5404	150	14	on	on	ADP
ejpam-5404	150	15	t	t	PROPN
ejpam-5404	150	16	and	and	CCONJ
ejpam-5404	150	17	n	n	PROPN
ejpam-5404	150	18	,	,	PUNCT
ejpam-5404	150	19	such	such	ADJ
ejpam-5404	150	20	that	that	SCONJ
ejpam-5404	150	21	|f(x	|f(x	PROPN
ejpam-5404	150	22	,	,	PUNCT
ejpam-5404	150	23	t)−	t)−	PROPN
ejpam-5404	150	24	f(y	f(y	NOUN
ejpam-5404	150	25	,	,	PUNCT
ejpam-5404	150	26	t)|+	t)|+	NOUN
ejpam-5404	150	27	|g(x	|g(x	NOUN
ejpam-5404	150	28	,	,	PUNCT
ejpam-5404	150	29	t)−g(y	t)−g(y	PRON
ejpam-5404	150	30	,	,	PUNCT
ejpam-5404	150	31	t)|	t)|	ADP
ejpam-5404	150	32	<	<	X
ejpam-5404	150	33	k|x−	k|x−	PROPN
ejpam-5404	150	34	y|	y|	PROPN
ejpam-5404	150	35	.	.	PUNCT
ejpam-5404	151	1	for	for	ADP
ejpam-5404	151	2	all	all	DET
ejpam-5404	151	3	|x|	|x|	PROPN
ejpam-5404	151	4	,	,	PUNCT
ejpam-5404	151	5	|y|	|y|	ADJ
ejpam-5404	151	6	⩽	⩽	NOUN
ejpam-5404	151	7	n	n	CCONJ
ejpam-5404	151	8	and	and	CCONJ
ejpam-5404	151	9	all	all	DET
ejpam-5404	151	10	0	0	NUM
ejpam-5404	151	11	⩽	⩽	PROPN
ejpam-5404	151	12	t	t	PROPN
ejpam-5404	151	13	⩽	⩽	PROPN
ejpam-5404	151	14	t	t	PROPN
ejpam-5404	151	15	.	.	PUNCT
ejpam-5404	152	1	v	v	X
ejpam-5404	152	2	∈	∈	PROPN
ejpam-5404	152	3	c2,1	c2,1	PROPN
ejpam-5404	152	4	(	(	PUNCT
ejpam-5404	152	5	r3	r3	PROPN
ejpam-5404	152	6	×	×	NOUN
ejpam-5404	153	1	[	[	X
ejpam-5404	153	2	to,∞	to,∞	X
ejpam-5404	153	3	]	]	PUNCT
ejpam-5404	153	4	;	;	PUNCT
ejpam-5404	153	5	r+	r+	X
ejpam-5404	153	6	)	)	PUNCT
ejpam-5404	153	7	is	be	AUX
ejpam-5404	153	8	the	the	DET
ejpam-5404	153	9	family	family	NOUN
ejpam-5404	153	10	of	of	ADP
ejpam-5404	153	11	all	all	DET
ejpam-5404	153	12	semi	semi	ADJ
ejpam-5404	153	13	-	-	ADJ
ejpam-5404	153	14	positive	positive	ADJ
ejpam-5404	153	15	functions	function	NOUN
ejpam-5404	153	16	v	v	ADP
ejpam-5404	153	17	(	(	PUNCT
ejpam-5404	153	18	υ	υ	PROPN
ejpam-5404	153	19	,	,	PUNCT
ejpam-5404	153	20	t	t	PROPN
ejpam-5404	153	21	)	)	PUNCT
ejpam-5404	153	22	and	and	CCONJ
ejpam-5404	153	23	it	it	PRON
ejpam-5404	153	24	is	be	AUX
ejpam-5404	153	25	defined	define	VERB
ejpam-5404	153	26	on	on	ADP
ejpam-5404	153	27	r3	r3	PROPN
ejpam-5404	153	28	×	×	NOUN
ejpam-5404	153	29	[	[	X
ejpam-5404	153	30	to,∞	to,∞	X
ejpam-5404	153	31	]	]	X
ejpam-5404	153	32	so	so	SCONJ
ejpam-5404	153	33	that	that	SCONJ
ejpam-5404	153	34	they	they	PRON
ejpam-5404	153	35	are	be	AUX
ejpam-5404	153	36	continuously	continuously	ADV
ejpam-5404	153	37	twice	twice	ADV
ejpam-5404	153	38	differentiable	differentiable	ADJ
ejpam-5404	153	39	in	in	ADP
ejpam-5404	153	40	υ	υ	PROPN
ejpam-5404	153	41	and	and	CCONJ
ejpam-5404	153	42	once	once	ADV
ejpam-5404	153	43	in	in	ADP
ejpam-5404	153	44	t.	t.	PROPN
ejpam-5404	153	45	thus	thus	ADV
ejpam-5404	153	46	,	,	PUNCT
ejpam-5404	153	47	the	the	DET
ejpam-5404	153	48	differential	differential	ADJ
ejpam-5404	153	49	operator	operator	NOUN
ejpam-5404	153	50	l	l	NOUN
ejpam-5404	153	51	is	be	AUX
ejpam-5404	153	52	defined	define	VERB
ejpam-5404	153	53	by	by	ADP
ejpam-5404	153	54	[	[	X
ejpam-5404	153	55	19	19	NUM
ejpam-5404	153	56	]	]	PUNCT
ejpam-5404	153	57	as	as	ADP
ejpam-5404	153	58	,	,	PUNCT
ejpam-5404	153	59	l	l	NOUN
ejpam-5404	153	60	=	=	SYM
ejpam-5404	153	61	∂	∂	NOUN
ejpam-5404	153	62	∂t	∂t	PROPN
ejpam-5404	154	1	+	+	CCONJ
ejpam-5404	154	2	3∑	3∑	NUM
ejpam-5404	154	3	i=1	i=1	PROPN
ejpam-5404	154	4	φ1i(υ	φ1i(υ	PROPN
ejpam-5404	154	5	)	)	PUNCT
ejpam-5404	154	6	∂	∂	NUM
ejpam-5404	154	7	∂υi	∂υi	NOUN
ejpam-5404	154	8	+	+	CCONJ
ejpam-5404	154	9	1	1	NUM
ejpam-5404	154	10	2	2	NUM
ejpam-5404	154	11	3∑	3∑	NUM
ejpam-5404	154	12	i	i	NOUN
ejpam-5404	154	13	,	,	PUNCT
ejpam-5404	154	14	j=1	j=1	PROPN
ejpam-5404	154	15	[	[	PUNCT
ejpam-5404	154	16	gt	gt	INTJ
ejpam-5404	154	17	(	(	PUNCT
ejpam-5404	154	18	υ	υ	NOUN
ejpam-5404	154	19	,	,	PUNCT
ejpam-5404	154	20	t)g(υ	t)g(υ	ADJ
ejpam-5404	154	21	,	,	PUNCT
ejpam-5404	154	22	t	t	PROPN
ejpam-5404	154	23	)	)	PUNCT
ejpam-5404	154	24	]	]	PUNCT
ejpam-5404	155	1	ij	ij	X
ejpam-5404	155	2	∂2	∂2	PROPN
ejpam-5404	155	3	∂υi∂υj	∂υi∂υj	PROPN
ejpam-5404	155	4	.	.	PUNCT
ejpam-5404	156	1	s.	s.	PROPN
ejpam-5404	156	2	m.	m.	PROPN
ejpam-5404	156	3	alzahrani	alzahrani	PROPN
ejpam-5404	156	4	/	/	SYM
ejpam-5404	156	5	eur	eur	PROPN
ejpam-5404	156	6	.	.	PUNCT
ejpam-5404	157	1	j.	j.	PROPN
ejpam-5404	157	2	pure	pure	PROPN
ejpam-5404	157	3	appl	appl	PROPN
ejpam-5404	157	4	.	.	PROPN
ejpam-5404	157	5	math	math	PROPN
ejpam-5404	157	6	,	,	PUNCT
ejpam-5404	157	7	18	18	NUM
ejpam-5404	157	8	(	(	PUNCT
ejpam-5404	157	9	1	1	NUM
ejpam-5404	157	10	)	)	PUNCT
ejpam-5404	157	11	(	(	PUNCT
ejpam-5404	157	12	2025	2025	NUM
ejpam-5404	157	13	)	)	PUNCT
ejpam-5404	157	14	,	,	PUNCT
ejpam-5404	157	15	5404	5404	NUM
ejpam-5404	157	16	7	7	NUM
ejpam-5404	157	17	of	of	ADP
ejpam-5404	157	18	22	22	NUM
ejpam-5404	157	19	for	for	ADP
ejpam-5404	157	20	v	v	NOUN
ejpam-5404	157	21	∈	∈	PROPN
ejpam-5404	157	22	c2,1	c2,1	PROPN
ejpam-5404	157	23	(	(	PUNCT
ejpam-5404	157	24	r3	r3	PROPN
ejpam-5404	157	25	×	×	NOUN
ejpam-5404	158	1	[	[	X
ejpam-5404	158	2	to,∞	to,∞	X
ejpam-5404	158	3	]	]	PUNCT
ejpam-5404	158	4	;	;	PUNCT
ejpam-5404	158	5	r+	r+	X
ejpam-5404	158	6	)	)	PUNCT
ejpam-5404	158	7	,	,	PUNCT
ejpam-5404	158	8	then	then	ADV
ejpam-5404	158	9	lv(υ	lv(υ	NUM
ejpam-5404	158	10	,	,	PUNCT
ejpam-5404	158	11	t	t	PROPN
ejpam-5404	158	12	)	)	PUNCT
ejpam-5404	158	13	=	=	SYM
ejpam-5404	158	14	vt(υ	vt(υ	X
ejpam-5404	158	15	,	,	PUNCT
ejpam-5404	158	16	t	t	PROPN
ejpam-5404	158	17	)	)	PUNCT
ejpam-5404	158	18	+	+	NUM
ejpam-5404	158	19	vυ(υ	vυ(υ	NUM
ejpam-5404	158	20	,	,	PUNCT
ejpam-5404	158	21	t)f(υ	t)f(υ	PROPN
ejpam-5404	158	22	,	,	PUNCT
ejpam-5404	158	23	t	t	PROPN
ejpam-5404	158	24	)	)	PUNCT
ejpam-5404	158	25	+	+	CCONJ
ejpam-5404	158	26	1	1	NUM
ejpam-5404	158	27	2	2	NUM
ejpam-5404	158	28	trace	trace	NOUN
ejpam-5404	158	29	[	[	PUNCT
ejpam-5404	158	30	gt	gt	INTJ
ejpam-5404	158	31	(	(	PUNCT
ejpam-5404	158	32	υ	υ	NOUN
ejpam-5404	158	33	,	,	PUNCT
ejpam-5404	158	34	t)vυυg(υ	t)vυυg(υ	ADJ
ejpam-5404	158	35	,	,	PUNCT
ejpam-5404	158	36	t	t	PROPN
ejpam-5404	158	37	)	)	PUNCT
ejpam-5404	158	38	]	]	PUNCT
ejpam-5404	158	39	,	,	PUNCT
ejpam-5404	159	1	where	where	SCONJ
ejpam-5404	159	2	vt	vt	PROPN
ejpam-5404	159	3	=	=	PROPN
ejpam-5404	159	4	∂v	∂v	PROPN
ejpam-5404	159	5	∂t	∂t	PROPN
ejpam-5404	159	6	,	,	PUNCT
ejpam-5404	159	7	vυ	vυ	PROPN
ejpam-5404	159	8	=	=	PUNCT
ejpam-5404	159	9	(	(	PUNCT
ejpam-5404	159	10	∂v	∂v	PROPN
ejpam-5404	159	11	∂y1	∂y1	PROPN
ejpam-5404	159	12	,	,	PUNCT
ejpam-5404	159	13	.	.	PUNCT
ejpam-5404	159	14	.	.	PUNCT
ejpam-5404	160	1	.	.	PUNCT
ejpam-5404	161	1	,	,	PUNCT
ejpam-5404	161	2	∂v	∂v	PROPN
ejpam-5404	161	3	∂y3	∂y3	PROPN
ejpam-5404	161	4	)	)	PUNCT
ejpam-5404	161	5	and	and	CCONJ
ejpam-5404	161	6	vυυ	vυυ	X
ejpam-5404	161	7	=	=	SYM
ejpam-5404	161	8	(	(	PUNCT
ejpam-5404	161	9	∂2v	∂2v	PROPN
ejpam-5404	161	10	∂yi∂yj	∂yi∂yj	NOUN
ejpam-5404	161	11	)	)	PUNCT
ejpam-5404	161	12	3×3	3×3	NUM
ejpam-5404	161	13	.	.	PUNCT
ejpam-5404	162	1	based	base	VERB
ejpam-5404	162	2	on	on	ADP
ejpam-5404	162	3	itô	itô	PROPN
ejpam-5404	162	4	’s	’s	PART
ejpam-5404	162	5	formula	formula	NOUN
ejpam-5404	162	6	,	,	PUNCT
ejpam-5404	162	7	if	if	SCONJ
ejpam-5404	162	8	υ(t	υ(t	NOUN
ejpam-5404	162	9	)	)	PUNCT
ejpam-5404	162	10	∈	∈	PROPN
ejpam-5404	162	11	rl	rl	PROPN
ejpam-5404	162	12	,	,	PUNCT
ejpam-5404	162	13	then	then	ADV
ejpam-5404	162	14	y	y	PROPN
ejpam-5404	162	15	(	(	PUNCT
ejpam-5404	162	16	t	t	PROPN
ejpam-5404	162	17	)	)	PUNCT
ejpam-5404	162	18	is	be	AUX
ejpam-5404	162	19	an	an	DET
ejpam-5404	162	20	l	l	ADJ
ejpam-5404	162	21	-	-	ADJ
ejpam-5404	162	22	dimensional	dimensional	ADJ
ejpam-5404	162	23	stochastic	stochastic	ADJ
ejpam-5404	162	24	process	process	NOUN
ejpam-5404	162	25	.	.	PUNCT
ejpam-5404	163	1	υ(t	υ(t	NOUN
ejpam-5404	163	2	)	)	PUNCT
ejpam-5404	163	3	is	be	AUX
ejpam-5404	163	4	a	a	DET
ejpam-5404	163	5	martingale	martingale	NOUN
ejpam-5404	163	6	if	if	SCONJ
ejpam-5404	163	7	e[υ(t	e[υ(t	NOUN
ejpam-5404	163	8	)	)	PUNCT
ejpam-5404	163	9	]	]	PUNCT
ejpam-5404	164	1	=	=	PUNCT
ejpam-5404	164	2	υ(0	υ(0	PROPN
ejpam-5404	164	3	)	)	PUNCT
ejpam-5404	164	4	.	.	PUNCT
ejpam-5404	165	1	υ(t	υ(t	NOUN
ejpam-5404	165	2	)	)	PUNCT
ejpam-5404	165	3	is	be	AUX
ejpam-5404	165	4	a	a	DET
ejpam-5404	165	5	semimartingale	semimartingale	NOUN
ejpam-5404	165	6	if	if	SCONJ
ejpam-5404	165	7	e[υ(t	e[υ(t	NOUN
ejpam-5404	165	8	)	)	PUNCT
ejpam-5404	165	9	]	]	PUNCT
ejpam-5404	166	1	=	=	SYM
ejpam-5404	166	2	υ(0)+σ(t	υ(0)+σ(t	NUM
ejpam-5404	166	3	)	)	PUNCT
ejpam-5404	166	4	,	,	PUNCT
ejpam-5404	166	5	where	where	SCONJ
ejpam-5404	166	6	σ(t	σ(t	PROPN
ejpam-5404	166	7	)	)	PUNCT
ejpam-5404	166	8	is	be	AUX
ejpam-5404	166	9	a	a	DET
ejpam-5404	166	10	wiener	wiener	NOUN
ejpam-5404	166	11	process	process	NOUN
ejpam-5404	166	12	.	.	PUNCT
ejpam-5404	167	1	dv(υ	dv(υ	PROPN
ejpam-5404	167	2	,	,	PUNCT
ejpam-5404	167	3	t	t	PROPN
ejpam-5404	167	4	)	)	PUNCT
ejpam-5404	167	5	=	=	SYM
ejpam-5404	167	6	lv(υ(t	lv(υ(t	NOUN
ejpam-5404	167	7	)	)	PUNCT
ejpam-5404	167	8	,	,	PUNCT
ejpam-5404	167	9	t	t	PROPN
ejpam-5404	167	10	)	)	PUNCT
ejpam-5404	167	11	+	+	NUM
ejpam-5404	167	12	vυ(υ(t	vυ(υ(t	NOUN
ejpam-5404	167	13	)	)	PUNCT
ejpam-5404	167	14	,	,	PUNCT
ejpam-5404	167	15	t)g(x(t	t)g(x(t	NOUN
ejpam-5404	167	16	)	)	PUNCT
ejpam-5404	167	17	,	,	PUNCT
ejpam-5404	167	18	t)db(t	t)db(t	NOUN
ejpam-5404	167	19	)	)	PUNCT
ejpam-5404	167	20	.	.	PUNCT
ejpam-5404	168	1	it	it	PRON
ejpam-5404	168	2	will	will	AUX
ejpam-5404	168	3	be	be	AUX
ejpam-5404	168	4	assumed	assume	VERB
ejpam-5404	168	5	that	that	SCONJ
ejpam-5404	168	6	we	we	PRON
ejpam-5404	168	7	are	be	AUX
ejpam-5404	168	8	dealing	deal	VERB
ejpam-5404	168	9	with	with	ADP
ejpam-5404	168	10	a	a	DET
ejpam-5404	168	11	”	"	PUNCT
ejpam-5404	168	12	markov	markov	NOUN
ejpam-5404	168	13	process	process	NOUN
ejpam-5404	168	14	”	"	PUNCT
ejpam-5404	168	15	in	in	ADP
ejpam-5404	168	16	the	the	DET
ejpam-5404	168	17	space	space	NOUN
ejpam-5404	168	18	el	el	PROPN
ejpam-5404	168	19	(	(	PUNCT
ejpam-5404	168	20	el	el	PROPN
ejpam-5404	168	21	denoting	denote	VERB
ejpam-5404	168	22	a	a	DET
ejpam-5404	168	23	l	l	NOUN
ejpam-5404	168	24	dimensional	dimensional	ADJ
ejpam-5404	168	25	euclidean	euclidean	ADJ
ejpam-5404	168	26	space	space	NOUN
ejpam-5404	168	27	)	)	PUNCT
ejpam-5404	168	28	,	,	PUNCT
ejpam-5404	168	29	that	that	PRON
ejpam-5404	168	30	may	may	AUX
ejpam-5404	168	31	be	be	AUX
ejpam-5404	168	32	exactly	exactly	ADV
ejpam-5404	168	33	described	describe	VERB
ejpam-5404	168	34	as	as	SCONJ
ejpam-5404	168	35	follows	follow	VERB
ejpam-5404	168	36	:	:	PUNCT
ejpam-5404	168	37	dx(t	dx(t	X
ejpam-5404	168	38	)	)	PUNCT
ejpam-5404	168	39	=	=	SYM
ejpam-5404	169	1	b(x)dt+	b(x)dt+	NOUN
ejpam-5404	169	2	k∑	k∑	NOUN
ejpam-5404	169	3	r=1	r=1	NOUN
ejpam-5404	169	4	grdbr(t	grdbr(t	NOUN
ejpam-5404	169	5	)	)	PUNCT
ejpam-5404	169	6	.	.	PUNCT
ejpam-5404	170	1	for	for	ADP
ejpam-5404	170	2	the	the	DET
ejpam-5404	170	3	purpose	purpose	NOUN
ejpam-5404	170	4	of	of	ADP
ejpam-5404	170	5	defining	define	VERB
ejpam-5404	170	6	the	the	DET
ejpam-5404	170	7	diffusion	diffusion	NOUN
ejpam-5404	170	8	matrix	matrix	NOUN
ejpam-5404	170	9	,	,	PUNCT
ejpam-5404	170	10	we	we	PRON
ejpam-5404	170	11	need	need	VERB
ejpam-5404	170	12	to	to	PART
ejpam-5404	170	13	consider	consider	VERB
ejpam-5404	170	14	the	the	DET
ejpam-5404	170	15	following	follow	VERB
ejpam-5404	170	16	factors	factor	NOUN
ejpam-5404	170	17	:	:	PUNCT
ejpam-5404	170	18	a	a	PRON
ejpam-5404	170	19	=	=	SYM
ejpam-5404	170	20	(	(	PUNCT
ejpam-5404	170	21	tij(x	tij(x	PROPN
ejpam-5404	170	22	)	)	PUNCT
ejpam-5404	170	23	)	)	PUNCT
ejpam-5404	170	24	,	,	PUNCT
ejpam-5404	170	25	tij(x	tij(x	X
ejpam-5404	170	26	)	)	PUNCT
ejpam-5404	171	1	=	=	SYM
ejpam-5404	171	2	k∑	k∑	NOUN
ejpam-5404	171	3	r=1	r=1	NOUN
ejpam-5404	171	4	gi	gi	NOUN
ejpam-5404	171	5	r(x)gj	r(x)gj	PRON
ejpam-5404	171	6	r(x	r(x	PROPN
ejpam-5404	171	7	)	)	PUNCT
ejpam-5404	171	8	.	.	PUNCT
ejpam-5404	172	1	theorem	theorem	NOUN
ejpam-5404	172	2	1	1	NUM
ejpam-5404	172	3	.	.	PUNCT
ejpam-5404	173	1	there	there	PRON
ejpam-5404	173	2	exists	exist	VERB
ejpam-5404	173	3	a	a	DET
ejpam-5404	173	4	unique	unique	ADJ
ejpam-5404	173	5	solution	solution	NOUN
ejpam-5404	173	6	(	(	PUNCT
ejpam-5404	173	7	g	g	NOUN
ejpam-5404	173	8	,	,	PUNCT
ejpam-5404	173	9	i	i	NOUN
ejpam-5404	173	10	)	)	PUNCT
ejpam-5404	173	11	to	to	ADP
ejpam-5404	173	12	eq	eq	NOUN
ejpam-5404	173	13	for	for	ADP
ejpam-5404	173	14	any	any	DET
ejpam-5404	173	15	initial	initial	ADJ
ejpam-5404	173	16	value	value	NOUN
ejpam-5404	173	17	(	(	PUNCT
ejpam-5404	173	18	g(0	g(0	NOUN
ejpam-5404	173	19	)	)	PUNCT
ejpam-5404	173	20	,	,	PUNCT
ejpam-5404	173	21	i(0	i(0	PROPN
ejpam-5404	173	22	)	)	PUNCT
ejpam-5404	173	23	)	)	PUNCT
ejpam-5404	174	1	∈	∈	NOUN
ejpam-5404	174	2	r2	r2	NOUN
ejpam-5404	174	3	+	+	PROPN
ejpam-5404	174	4	.	.	PUNCT
ejpam-5404	175	1	this	this	PRON
ejpam-5404	175	2	means	mean	VERB
ejpam-5404	175	3	that	that	SCONJ
ejpam-5404	175	4	in	in	ADP
ejpam-5404	175	5	most	most	ADJ
ejpam-5404	175	6	cases	case	NOUN
ejpam-5404	175	7	,	,	PUNCT
ejpam-5404	175	8	(	(	PUNCT
ejpam-5404	175	9	g(0	g(0	NOUN
ejpam-5404	175	10	)	)	PUNCT
ejpam-5404	175	11	,	,	PUNCT
ejpam-5404	175	12	i(0	i(0	PROPN
ejpam-5404	175	13	)	)	PUNCT
ejpam-5404	175	14	)	)	PUNCT
ejpam-5404	176	1	∈	∈	NOUN
ejpam-5404	176	2	r2	r2	NOUN
ejpam-5404	176	3	+	+	CCONJ
ejpam-5404	176	4	will	will	AUX
ejpam-5404	176	5	remain	remain	VERB
ejpam-5404	176	6	in	in	ADP
ejpam-5404	176	7	r2	r2	PROPN
ejpam-5404	176	8	+	+	CCONJ
ejpam-5404	176	9	with	with	ADP
ejpam-5404	176	10	probability	probability	NOUN
ejpam-5404	176	11	one	one	NUM
ejpam-5404	176	12	t	t	PROPN
ejpam-5404	176	13	≥	≥	NOUN
ejpam-5404	176	14	0	0	NUM
ejpam-5404	176	15	almost	almost	ADV
ejpam-5404	176	16	certainly	certainly	ADV
ejpam-5404	176	17	.	.	PUNCT
ejpam-5404	177	1	lemma	lemma	PROPN
ejpam-5404	177	2	1	1	NUM
ejpam-5404	177	3	(	(	PUNCT
ejpam-5404	177	4	[	[	X
ejpam-5404	177	5	19	19	NUM
ejpam-5404	177	6	,	,	PUNCT
ejpam-5404	177	7	33	33	NUM
ejpam-5404	177	8	]	]	PUNCT
ejpam-5404	177	9	)	)	PUNCT
ejpam-5404	177	10	.	.	PUNCT
ejpam-5404	177	11	suppose	suppose	VERB
ejpam-5404	177	12	ω	ω	NUM
ejpam-5404	177	13	∈	∈	PROPN
ejpam-5404	177	14	r	r	NOUN
ejpam-5404	177	15	×	×	NOUN
ejpam-5404	177	16	cn	cn	PROPN
ejpam-5404	177	17	is	be	AUX
ejpam-5404	177	18	open	open	ADJ
ejpam-5404	177	19	,	,	PUNCT
ejpam-5404	177	20	fi	fi	NOUN
ejpam-5404	177	21	∈	∈	PROPN
ejpam-5404	177	22	c	c	X
ejpam-5404	177	23	(	(	PUNCT
ejpam-5404	177	24	ω	ω	PROPN
ejpam-5404	177	25	,	,	PUNCT
ejpam-5404	177	26	r	r	NOUN
ejpam-5404	177	27	)	)	PUNCT
ejpam-5404	177	28	,	,	PUNCT
ejpam-5404	177	29	i	i	PRON
ejpam-5404	177	30	=	=	NOUN
ejpam-5404	177	31	1	1	NUM
ejpam-5404	177	32	,	,	PUNCT
ejpam-5404	177	33	2	2	NUM
ejpam-5404	177	34	,	,	PUNCT
ejpam-5404	177	35	3	3	NUM
ejpam-5404	177	36	,	,	PUNCT
ejpam-5404	177	37	.	.	PUNCT
ejpam-5404	177	38	.	.	PUNCT
ejpam-5404	178	1	.	.	PUNCT
ejpam-5404	179	1	,	,	PUNCT
ejpam-5404	179	2	n.	n.	NOUN
ejpam-5404	179	3	if	if	SCONJ
ejpam-5404	179	4	fi	fi	NOUN
ejpam-5404	179	5	|	|	ADV
ejpam-5404	179	6	xi(t	xi(t	PUNCT
ejpam-5404	179	7	)	)	PUNCT
ejpam-5404	180	1	=	=	SYM
ejpam-5404	180	2	0	0	NUM
ejpam-5404	180	3	,	,	PUNCT
ejpam-5404	180	4	xt	xt	ADP
ejpam-5404	180	5	∈	∈	PROPN
ejpam-5404	180	6	cn	cn	PROPN
ejpam-5404	181	1	+0	+0	ADP
ejpam-5404	181	2	⩾	⩾	PROPN
ejpam-5404	181	3	0	0	NUM
ejpam-5404	181	4	,	,	PUNCT
ejpam-5404	181	5	xt	xt	X
ejpam-5404	181	6	=	=	SYM
ejpam-5404	182	1	(	(	PUNCT
ejpam-5404	182	2	x1	x1	PROPN
ejpam-5404	182	3	t	t	PROPN
ejpam-5404	182	4	,	,	PUNCT
ejpam-5404	182	5	x2	x2	PROPN
ejpam-5404	182	6	t	t	PROPN
ejpam-5404	182	7	,	,	PUNCT
ejpam-5404	182	8	x3	x3	PROPN
ejpam-5404	182	9	t	t	PROPN
ejpam-5404	182	10	,	,	PUNCT
ejpam-5404	182	11	.	.	PUNCT
ejpam-5404	182	12	.	.	PUNCT
ejpam-5404	182	13	.	.	PUNCT
ejpam-5404	183	1	,	,	PUNCT
ejpam-5404	183	2	xnt	xnt	PROPN
ejpam-5404	183	3	)	)	PUNCT
ejpam-5404	183	4	t	t	PROPN
ejpam-5404	183	5	,	,	PUNCT
ejpam-5404	183	6	then	then	ADV
ejpam-5404	183	7	cn	cn	PROPN
ejpam-5404	184	1	+0	+0	PROPN
ejpam-5404	184	2	is	be	AUX
ejpam-5404	184	3	the	the	DET
ejpam-5404	184	4	invariant	invariant	ADJ
ejpam-5404	184	5	domain	domain	NOUN
ejpam-5404	184	6	of	of	ADP
ejpam-5404	184	7	the	the	DET
ejpam-5404	184	8	following	follow	VERB
ejpam-5404	184	9	equations	equation	NOUN
ejpam-5404	184	10	dxi(t	dxi(t	AUX
ejpam-5404	184	11	)	)	PUNCT
ejpam-5404	184	12	dt	dt	NOUN
ejpam-5404	185	1	=	=	NOUN
ejpam-5404	185	2	fi	fi	NOUN
ejpam-5404	185	3	(	(	PUNCT
ejpam-5404	185	4	t	t	PROPN
ejpam-5404	185	5	,	,	PUNCT
ejpam-5404	185	6	xt	xt	PROPN
ejpam-5404	185	7	)	)	PUNCT
ejpam-5404	185	8	,	,	PUNCT
ejpam-5404	185	9	t	t	PROPN
ejpam-5404	185	10	⩾	⩾	PROPN
ejpam-5404	185	11	σ	σ	PROPN
ejpam-5404	185	12	,	,	PUNCT
ejpam-5404	185	13	i	i	NOUN
ejpam-5404	185	14	=	=	NOUN
ejpam-5404	185	15	1	1	NUM
ejpam-5404	185	16	,	,	PUNCT
ejpam-5404	185	17	2	2	NUM
ejpam-5404	185	18	,	,	PUNCT
ejpam-5404	185	19	.	.	PUNCT
ejpam-5404	185	20	.	.	PUNCT
ejpam-5404	185	21	.	.	PUNCT
ejpam-5404	186	1	,	,	PUNCT
ejpam-5404	186	2	n.	n.	VERB
ejpam-5404	186	3	the	the	DET
ejpam-5404	186	4	assertion	assertion	NOUN
ejpam-5404	186	5	that	that	SCONJ
ejpam-5404	186	6	the	the	DET
ejpam-5404	186	7	two	two	NUM
ejpam-5404	186	8	wiener	wiener	NOUN
ejpam-5404	186	9	processes	process	NOUN
ejpam-5404	186	10	(	(	PUNCT
ejpam-5404	186	11	brownian	brownian	ADJ
ejpam-5404	186	12	motions	motion	NOUN
ejpam-5404	186	13	)	)	PUNCT
ejpam-5404	186	14	are	be	AUX
ejpam-5404	186	15	independent	independent	ADJ
ejpam-5404	186	16	suggests	suggest	NOUN
ejpam-5404	186	17	that	that	SCONJ
ejpam-5404	186	18	there	there	PRON
ejpam-5404	186	19	is	be	VERB
ejpam-5404	186	20	no	no	DET
ejpam-5404	186	21	direct	direct	ADJ
ejpam-5404	186	22	correlation	correlation	NOUN
ejpam-5404	186	23	between	between	ADP
ejpam-5404	186	24	the	the	DET
ejpam-5404	186	25	glucose	glucose	NOUN
ejpam-5404	186	26	g	g	NOUN
ejpam-5404	186	27	and	and	CCONJ
ejpam-5404	186	28	insulin	insulin	NOUN
ejpam-5404	186	29	i	i	PRON
ejpam-5404	186	30	fluctuations	fluctuation	NOUN
ejpam-5404	186	31	in	in	ADP
ejpam-5404	186	32	model	model	NOUN
ejpam-5404	186	33	(	(	PUNCT
ejpam-5404	186	34	2	2	NUM
ejpam-5404	186	35	)	)	PUNCT
ejpam-5404	186	36	.	.	PUNCT
ejpam-5404	187	1	in	in	ADP
ejpam-5404	187	2	this	this	DET
ejpam-5404	187	3	stochastic	stochastic	ADJ
ejpam-5404	187	4	system	system	NOUN
ejpam-5404	187	5	,	,	PUNCT
ejpam-5404	187	6	the	the	DET
ejpam-5404	187	7	independence	independence	NOUN
ejpam-5404	187	8	of	of	ADP
ejpam-5404	187	9	b1(t	b1(t	PROPN
ejpam-5404	187	10	)	)	PUNCT
ejpam-5404	187	11	and	and	CCONJ
ejpam-5404	187	12	b2(t	b2(t	PROPN
ejpam-5404	187	13	)	)	PUNCT
ejpam-5404	187	14	implies	imply	VERB
ejpam-5404	187	15	that	that	SCONJ
ejpam-5404	187	16	any	any	DET
ejpam-5404	187	17	stochastic	stochastic	ADJ
ejpam-5404	187	18	fluctuations	fluctuation	NOUN
ejpam-5404	187	19	in	in	ADP
ejpam-5404	187	20	glucose	glucose	NOUN
ejpam-5404	187	21	do	do	AUX
ejpam-5404	187	22	not	not	PART
ejpam-5404	187	23	directly	directly	ADV
ejpam-5404	187	24	influence	influence	VERB
ejpam-5404	187	25	insulin	insulin	NOUN
ejpam-5404	187	26	fluctuations	fluctuation	NOUN
ejpam-5404	187	27	,	,	PUNCT
ejpam-5404	187	28	and	and	CCONJ
ejpam-5404	187	29	vice	vice	ADV
ejpam-5404	187	30	versa	versa	ADV
ejpam-5404	187	31	,	,	PUNCT
ejpam-5404	187	32	on	on	ADP
ejpam-5404	187	33	a	a	DET
ejpam-5404	187	34	noise	noise	NOUN
ejpam-5404	187	35	level	level	NOUN
ejpam-5404	187	36	.	.	PUNCT
ejpam-5404	188	1	this	this	DET
ejpam-5404	188	2	setup	setup	NOUN
ejpam-5404	188	3	allows	allow	VERB
ejpam-5404	188	4	each	each	DET
ejpam-5404	188	5	process	process	NOUN
ejpam-5404	188	6	to	to	PART
ejpam-5404	188	7	experience	experience	VERB
ejpam-5404	188	8	random	random	ADJ
ejpam-5404	188	9	fluctuations	fluctuation	NOUN
ejpam-5404	188	10	independently	independently	ADV
ejpam-5404	188	11	of	of	ADP
ejpam-5404	188	12	the	the	DET
ejpam-5404	188	13	other	other	ADJ
ejpam-5404	188	14	,	,	PUNCT
ejpam-5404	188	15	which	which	PRON
ejpam-5404	188	16	could	could	AUX
ejpam-5404	188	17	be	be	AUX
ejpam-5404	188	18	a	a	DET
ejpam-5404	188	19	model	model	NOUN
ejpam-5404	188	20	choice	choice	NOUN
ejpam-5404	188	21	to	to	PART
ejpam-5404	188	22	represent	represent	VERB
ejpam-5404	188	23	that	that	PRON
ejpam-5404	188	24	glucose	glucose	NOUN
ejpam-5404	188	25	and	and	CCONJ
ejpam-5404	188	26	insulin	insulin	NOUN
ejpam-5404	188	27	variabilities	variability	NOUN
ejpam-5404	188	28	arise	arise	VERB
ejpam-5404	188	29	from	from	ADP
ejpam-5404	188	30	separate	separate	ADJ
ejpam-5404	188	31	sources	source	NOUN
ejpam-5404	188	32	or	or	CCONJ
ejpam-5404	188	33	mechanisms	mechanism	NOUN
ejpam-5404	188	34	.	.	PUNCT
ejpam-5404	189	1	since	since	SCONJ
ejpam-5404	189	2	no	no	DET
ejpam-5404	189	3	correlation	correlation	NOUN
ejpam-5404	189	4	coefficient	coefficient	NOUN
ejpam-5404	189	5	is	be	AUX
ejpam-5404	189	6	specified	specify	VERB
ejpam-5404	189	7	,	,	PUNCT
ejpam-5404	189	8	we	we	PRON
ejpam-5404	189	9	assume	assume	VERB
ejpam-5404	189	10	no	no	DET
ejpam-5404	189	11	cross	cross	NOUN
ejpam-5404	189	12	-	-	NOUN
ejpam-5404	189	13	dependence	dependence	NOUN
ejpam-5404	189	14	between	between	ADP
ejpam-5404	189	15	g	g	PROPN
ejpam-5404	189	16	and	and	CCONJ
ejpam-5404	189	17	i	i	PRON
ejpam-5404	189	18	in	in	ADP
ejpam-5404	189	19	terms	term	NOUN
ejpam-5404	189	20	of	of	ADP
ejpam-5404	189	21	their	their	PRON
ejpam-5404	189	22	random	random	ADJ
ejpam-5404	189	23	perturbations	perturbation	NOUN
ejpam-5404	189	24	,	,	PUNCT
ejpam-5404	189	25	which	which	PRON
ejpam-5404	189	26	aligns	align	VERB
ejpam-5404	189	27	with	with	ADP
ejpam-5404	189	28	the	the	DET
ejpam-5404	189	29	independent	independent	ADJ
ejpam-5404	189	30	noise	noise	NOUN
ejpam-5404	189	31	intensities	intensity	NOUN
ejpam-5404	189	32	σ1	σ1	PROPN
ejpam-5404	189	33	and	and	CCONJ
ejpam-5404	189	34	σ2	σ2	PROPN
ejpam-5404	189	35	applied	apply	VERB
ejpam-5404	189	36	to	to	ADP
ejpam-5404	189	37	each	each	PRON
ejpam-5404	189	38	.	.	PUNCT
ejpam-5404	190	1	if	if	SCONJ
ejpam-5404	190	2	there	there	PRON
ejpam-5404	190	3	is	be	VERB
ejpam-5404	190	4	interest	interest	NOUN
ejpam-5404	190	5	in	in	ADP
ejpam-5404	190	6	exploring	explore	VERB
ejpam-5404	190	7	potential	potential	ADJ
ejpam-5404	190	8	dependencies	dependency	NOUN
ejpam-5404	190	9	,	,	PUNCT
ejpam-5404	190	10	introducing	introduce	VERB
ejpam-5404	190	11	a	a	DET
ejpam-5404	190	12	correlation	correlation	NOUN
ejpam-5404	190	13	coefficient	coefficient	NOUN
ejpam-5404	190	14	between	between	ADP
ejpam-5404	190	15	the	the	DET
ejpam-5404	190	16	wiener	wiener	NOUN
ejpam-5404	190	17	processes	process	NOUN
ejpam-5404	190	18	could	could	AUX
ejpam-5404	190	19	reflect	reflect	VERB
ejpam-5404	190	20	a	a	DET
ejpam-5404	190	21	level	level	NOUN
ejpam-5404	190	22	of	of	ADP
ejpam-5404	190	23	interconnected	interconnected	ADJ
ejpam-5404	190	24	noise	noise	NOUN
ejpam-5404	190	25	between	between	ADP
ejpam-5404	190	26	glucose	glucose	NOUN
ejpam-5404	190	27	and	and	CCONJ
ejpam-5404	190	28	insulin	insulin	NOUN
ejpam-5404	190	29	,	,	PUNCT
ejpam-5404	190	30	which	which	PRON
ejpam-5404	190	31	might	might	AUX
ejpam-5404	190	32	be	be	AUX
ejpam-5404	190	33	biologically	biologically	ADV
ejpam-5404	190	34	relevant	relevant	ADJ
ejpam-5404	190	35	in	in	ADP
ejpam-5404	190	36	certain	certain	ADJ
ejpam-5404	190	37	conditions	condition	NOUN
ejpam-5404	190	38	.	.	PUNCT
ejpam-5404	191	1	s.	s.	PROPN
ejpam-5404	191	2	m.	m.	PROPN
ejpam-5404	191	3	alzahrani	alzahrani	PROPN
ejpam-5404	191	4	/	/	SYM
ejpam-5404	191	5	eur	eur	PROPN
ejpam-5404	191	6	.	.	PUNCT
ejpam-5404	192	1	j.	j.	PROPN
ejpam-5404	192	2	pure	pure	PROPN
ejpam-5404	192	3	appl	appl	PROPN
ejpam-5404	192	4	.	.	PROPN
ejpam-5404	192	5	math	math	PROPN
ejpam-5404	192	6	,	,	PUNCT
ejpam-5404	192	7	18	18	NUM
ejpam-5404	192	8	(	(	PUNCT
ejpam-5404	192	9	1	1	NUM
ejpam-5404	192	10	)	)	PUNCT
ejpam-5404	192	11	(	(	PUNCT
ejpam-5404	192	12	2025	2025	NUM
ejpam-5404	192	13	)	)	PUNCT
ejpam-5404	192	14	,	,	PUNCT
ejpam-5404	192	15	5404	5404	NUM
ejpam-5404	192	16	8	8	NUM
ejpam-5404	192	17	of	of	ADP
ejpam-5404	192	18	22	22	NUM
ejpam-5404	192	19	4	4	NUM
ejpam-5404	192	20	.	.	PUNCT
ejpam-5404	193	1	properties	property	NOUN
ejpam-5404	193	2	of	of	ADP
ejpam-5404	193	3	the	the	DET
ejpam-5404	193	4	stochastic	stochastic	ADJ
ejpam-5404	193	5	diabetes	diabetes	NOUN
ejpam-5404	193	6	model	model	VERB
ejpam-5404	193	7	4.1	4.1	NUM
ejpam-5404	193	8	.	.	PUNCT
ejpam-5404	194	1	positivity	positivity	NOUN
ejpam-5404	194	2	of	of	ADP
ejpam-5404	194	3	the	the	DET
ejpam-5404	194	4	solution	solution	NOUN
ejpam-5404	194	5	theorem	theorem	VERB
ejpam-5404	194	6	2	2	NUM
ejpam-5404	194	7	.	.	PUNCT
ejpam-5404	195	1	the	the	DET
ejpam-5404	195	2	solutions	solution	NOUN
ejpam-5404	195	3	(	(	PUNCT
ejpam-5404	195	4	g(t	g(t	PROPN
ejpam-5404	195	5	)	)	PUNCT
ejpam-5404	195	6	,	,	PUNCT
ejpam-5404	195	7	i(t	i(t	PROPN
ejpam-5404	195	8	)	)	PUNCT
ejpam-5404	195	9	)	)	PUNCT
ejpam-5404	195	10	of	of	ADP
ejpam-5404	195	11	model	model	NOUN
ejpam-5404	195	12	(	(	PUNCT
ejpam-5404	195	13	2	2	NUM
ejpam-5404	195	14	)	)	PUNCT
ejpam-5404	195	15	with	with	ADP
ejpam-5404	195	16	semi	semi	ADJ
ejpam-5404	195	17	-	-	ADJ
ejpam-5404	195	18	positive	positive	ADJ
ejpam-5404	195	19	initial	initial	ADJ
ejpam-5404	195	20	conditions	condition	NOUN
ejpam-5404	195	21	are	be	AUX
ejpam-5404	195	22	all	all	PRON
ejpam-5404	195	23	semi	semi	ADJ
ejpam-5404	195	24	-	-	ADJ
ejpam-5404	195	25	positive	positive	ADJ
ejpam-5404	195	26	for	for	ADP
ejpam-5404	195	27	all	all	DET
ejpam-5404	195	28	t	t	NOUN
ejpam-5404	195	29	>	>	X
ejpam-5404	195	30	0	0	PUNCT
ejpam-5404	195	31	for	for	ADP
ejpam-5404	195	32	which	which	PRON
ejpam-5404	195	33	the	the	DET
ejpam-5404	195	34	solution	solution	NOUN
ejpam-5404	195	35	is	be	AUX
ejpam-5404	195	36	defined	define	VERB
ejpam-5404	195	37	.	.	PUNCT
ejpam-5404	196	1	proof	proof	NOUN
ejpam-5404	196	2	.	.	PUNCT
ejpam-5404	197	1	let	let	VERB
ejpam-5404	197	2	s	s	VERB
ejpam-5404	197	3	=	=	PUNCT
ejpam-5404	197	4	(	(	PUNCT
ejpam-5404	197	5	g	g	NOUN
ejpam-5404	197	6	,	,	PUNCT
ejpam-5404	197	7	i)t	i)t	NOUN
ejpam-5404	197	8	and	and	CCONJ
ejpam-5404	197	9	f(s	f(	NOUN
ejpam-5404	197	10	)	)	PUNCT
ejpam-5404	197	11	=	=	SYM
ejpam-5404	197	12	(	(	PUNCT
ejpam-5404	197	13	f1(g	f1(g	NUM
ejpam-5404	197	14	)	)	PUNCT
ejpam-5404	197	15	,	,	PUNCT
ejpam-5404	197	16	f2(i	f2(i	NOUN
ejpam-5404	197	17	)	)	PUNCT
ejpam-5404	197	18	)	)	PUNCT
ejpam-5404	198	1	t	t	NOUN
ejpam-5404	198	2	,	,	PUNCT
ejpam-5404	198	3	so	so	CCONJ
ejpam-5404	198	4	(	(	PUNCT
ejpam-5404	198	5	2	2	X
ejpam-5404	198	6	)	)	PUNCT
ejpam-5404	198	7	can	can	AUX
ejpam-5404	198	8	be	be	AUX
ejpam-5404	198	9	rewritten	rewrite	VERB
ejpam-5404	198	10	as	as	ADP
ejpam-5404	198	11	,	,	PUNCT
ejpam-5404	198	12	ds(t	ds(t	NOUN
ejpam-5404	198	13	)	)	PUNCT
ejpam-5404	198	14	dt	dt	NOUN
ejpam-5404	199	1	=	=	SYM
ejpam-5404	199	2	f(s	f(	NOUN
ejpam-5404	199	3	)	)	PUNCT
ejpam-5404	199	4	,	,	PUNCT
ejpam-5404	199	5	where	where	SCONJ
ejpam-5404	199	6	,	,	PUNCT
ejpam-5404	199	7	f(s	f(s	ADV
ejpam-5404	199	8	)	)	PUNCT
ejpam-5404	200	1	=	=	PUNCT
ejpam-5404	200	2	[	[	PUNCT
ejpam-5404	200	3	gin	gin	NOUN
ejpam-5404	200	4	−	−	PROPN
ejpam-5404	200	5	ag−	ag−	PUNCT
ejpam-5404	200	6	bgi	bgi	PROPN
ejpam-5404	200	7	iin	iin	PROPN
ejpam-5404	200	8	+	+	CCONJ
ejpam-5404	200	9	cg−	cg−	PUNCT
ejpam-5404	200	10	di	di	X
ejpam-5404	200	11	e+i	e+i	PROPN
ejpam-5404	200	12	]	]	PUNCT
ejpam-5404	200	13	.	.	PUNCT
ejpam-5404	201	1	note	note	VERB
ejpam-5404	201	2	that	that	SCONJ
ejpam-5404	201	3	,	,	PUNCT
ejpam-5404	201	4	dg(t	dg(t	NOUN
ejpam-5404	201	5	)	)	PUNCT
ejpam-5404	201	6	dt	dt	PUNCT
ejpam-5404	201	7	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5404	201	8	g=0	g=0	NOUN
ejpam-5404	201	9	=	=	SYM
ejpam-5404	201	10	gin	gin	NOUN
ejpam-5404	201	11	>	>	X
ejpam-5404	201	12	0	0	NUM
ejpam-5404	201	13	,	,	PUNCT
ejpam-5404	201	14	di(t	di(t	NOUN
ejpam-5404	201	15	)	)	PUNCT
ejpam-5404	202	1	dt	dt	PART
ejpam-5404	202	2	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5404	202	3	i=0	i=0	PROPN
ejpam-5404	202	4	=	=	PUNCT
ejpam-5404	202	5	iin	iin	PROPN
ejpam-5404	202	6	>	>	X
ejpam-5404	202	7	0	0	PROPN
ejpam-5404	202	8	,	,	PUNCT
ejpam-5404	202	9	lemma	lemma	PROPN
ejpam-5404	202	10	1	1	NUM
ejpam-5404	202	11	yields	yield	NOUN
ejpam-5404	202	12	that	that	PRON
ejpam-5404	202	13	r2	r2	PROPN
ejpam-5404	202	14	+	+	CCONJ
ejpam-5404	202	15	is	be	AUX
ejpam-5404	202	16	invariant	invariant	ADJ
ejpam-5404	202	17	set	set	NOUN
ejpam-5404	202	18	.	.	PUNCT
ejpam-5404	203	1	4.2	4.2	NUM
ejpam-5404	203	2	.	.	PUNCT
ejpam-5404	204	1	boundedness	boundedness	NOUN
ejpam-5404	204	2	of	of	ADP
ejpam-5404	204	3	solutions	solution	NOUN
ejpam-5404	204	4	theorem	theorem	VERB
ejpam-5404	204	5	3	3	X
ejpam-5404	204	6	.	.	PUNCT
ejpam-5404	205	1	let	let	AUX
ejpam-5404	205	2	τ	τ	PROPN
ejpam-5404	205	3	=	=	SYM
ejpam-5404	205	4	min	min	PROPN
ejpam-5404	205	5	{	{	PUNCT
ejpam-5404	205	6	a−	a−	PROPN
ejpam-5404	205	7	c	c	PROPN
ejpam-5404	205	8	,	,	PUNCT
ejpam-5404	205	9	di	di	X
ejpam-5404	205	10	e+m	e+m	PROPN
ejpam-5404	205	11	}	}	PUNCT
ejpam-5404	205	12	,	,	PUNCT
ejpam-5404	205	13	then	then	ADV
ejpam-5404	205	14	system	system	NOUN
ejpam-5404	205	15	(	(	PUNCT
ejpam-5404	205	16	1	1	X
ejpam-5404	205	17	)	)	PUNCT
ejpam-5404	205	18	has	have	VERB
ejpam-5404	205	19	a	a	DET
ejpam-5404	205	20	positive	positive	ADJ
ejpam-5404	205	21	invariant	invariant	ADJ
ejpam-5404	205	22	region	region	NOUN
ejpam-5404	205	23	:	:	PUNCT
ejpam-5404	206	1	∆	∆	X
ejpam-5404	206	2	=	=	PRON
ejpam-5404	206	3	{	{	PUNCT
ejpam-5404	206	4	(	(	PUNCT
ejpam-5404	206	5	g	g	NOUN
ejpam-5404	206	6	,	,	PUNCT
ejpam-5404	206	7	i	i	PROPN
ejpam-5404	206	8	)	)	PUNCT
ejpam-5404	206	9	:	:	PUNCT
ejpam-5404	206	10	g	g	NOUN
ejpam-5404	206	11	⩾	⩾	PROPN
ejpam-5404	206	12	0	0	NUM
ejpam-5404	206	13	,	,	PUNCT
ejpam-5404	206	14	i	i	PRON
ejpam-5404	206	15	⩾	⩾	VERB
ejpam-5404	206	16	0	0	NUM
ejpam-5404	206	17	,	,	PUNCT
ejpam-5404	206	18	g+	g+	VERB
ejpam-5404	207	1	i	i	PRON
ejpam-5404	207	2	⩽	⩽	PROPN
ejpam-5404	207	3	m	m	VERB
ejpam-5404	207	4	}	}	PUNCT
ejpam-5404	207	5	,	,	PUNCT
ejpam-5404	207	6	proof	proof	NOUN
ejpam-5404	207	7	.	.	PUNCT
ejpam-5404	208	1	taking	take	VERB
ejpam-5404	208	2	the	the	DET
ejpam-5404	208	3	population	population	NOUN
ejpam-5404	208	4	as	as	ADP
ejpam-5404	208	5	n(t	n(t	PROPN
ejpam-5404	208	6	)	)	PUNCT
ejpam-5404	208	7	=	=	SYM
ejpam-5404	208	8	g(t	g(t	PROPN
ejpam-5404	208	9	)	)	PUNCT
ejpam-5404	209	1	+	+	SYM
ejpam-5404	209	2	i(t	i(t	NOUN
ejpam-5404	209	3	)	)	PUNCT
ejpam-5404	209	4	.	.	PUNCT
ejpam-5404	210	1	a	a	DET
ejpam-5404	210	2	direct	direct	ADJ
ejpam-5404	210	3	calculation	calculation	NOUN
ejpam-5404	210	4	gives	give	VERB
ejpam-5404	210	5	dn(t	dn(t	NOUN
ejpam-5404	210	6	)	)	PUNCT
ejpam-5404	210	7	=	=	SYM
ejpam-5404	210	8	gin	gin	NOUN
ejpam-5404	210	9	−	−	PROPN
ejpam-5404	210	10	ag−	ag−	PUNCT
ejpam-5404	210	11	bgi	bgi	PROPN
ejpam-5404	210	12	+	+	CCONJ
ejpam-5404	210	13	iin	iin	PROPN
ejpam-5404	210	14	+	+	CCONJ
ejpam-5404	210	15	cg−	cg−	PUNCT
ejpam-5404	210	16	di	di	NOUN
ejpam-5404	210	17	e+	e+	VERB
ejpam-5404	210	18	i	i	PRON
ejpam-5404	210	19	+	+	CCONJ
ejpam-5404	210	20	(	(	PUNCT
ejpam-5404	210	21	σ1g(t)db1(t	σ1g(t)db1(t	NUM
ejpam-5404	210	22	)	)	PUNCT
ejpam-5404	211	1	+	+	CCONJ
ejpam-5404	211	2	σ2i(t)db1(t	σ2i(t)db1(t	PRON
ejpam-5404	211	3	)	)	PUNCT
ejpam-5404	211	4	)	)	PUNCT
ejpam-5404	212	1	⩽	⩽	ADJ
ejpam-5404	212	2	gin	gin	NOUN
ejpam-5404	212	3	+	+	CCONJ
ejpam-5404	212	4	iin	iin	PROPN
ejpam-5404	212	5	−	−	PROPN
ejpam-5404	212	6	(	(	PUNCT
ejpam-5404	212	7	a−	a−	PROPN
ejpam-5404	212	8	c)g−	c)g−	PROPN
ejpam-5404	212	9	di	di	PROPN
ejpam-5404	212	10	e+	e+	VERB
ejpam-5404	212	11	m	m	VERB
ejpam-5404	212	12	+	+	NUM
ejpam-5404	212	13	(	(	PUNCT
ejpam-5404	212	14	σ1g(t)db1(t	σ1g(t)db1(t	PROPN
ejpam-5404	212	15	)	)	PUNCT
ejpam-5404	212	16	+	+	CCONJ
ejpam-5404	212	17	σ2i(t)db1(t	σ2i(t)db1(t	PRON
ejpam-5404	212	18	)	)	PUNCT
ejpam-5404	212	19	)	)	PUNCT
ejpam-5404	212	20	⩽	⩽	NOUN
ejpam-5404	212	21	(	(	PUNCT
ejpam-5404	212	22	gin	gin	NOUN
ejpam-5404	212	23	+	+	CCONJ
ejpam-5404	212	24	iin	iin	PROPN
ejpam-5404	212	25	−	−	PROPN
ejpam-5404	212	26	τn(t))dt+	τn(t))dt+	NOUN
ejpam-5404	212	27	(	(	PUNCT
ejpam-5404	212	28	σ1g(t)db1(t	σ1g(t)db1(t	PUNCT
ejpam-5404	212	29	)	)	PUNCT
ejpam-5404	212	30	+	+	CCONJ
ejpam-5404	212	31	σ2i(t)db1(t	σ2i(t)db1(t	PRON
ejpam-5404	212	32	)	)	PUNCT
ejpam-5404	212	33	)	)	PUNCT
ejpam-5404	213	1	taking	take	VERB
ejpam-5404	213	2	expectations	expectation	NOUN
ejpam-5404	213	3	and	and	CCONJ
ejpam-5404	213	4	noting	note	VERB
ejpam-5404	213	5	that	that	SCONJ
ejpam-5404	213	6	wiener	wiener	NOUN
ejpam-5404	213	7	processes	process	NOUN
ejpam-5404	213	8	have	have	VERB
ejpam-5404	213	9	no	no	DET
ejpam-5404	213	10	expectations	expectation	NOUN
ejpam-5404	213	11	,	,	PUNCT
ejpam-5404	213	12	we	we	PRON
ejpam-5404	213	13	get	get	VERB
ejpam-5404	213	14	:	:	PUNCT
ejpam-5404	213	15	e[dn(t	e[dn(t	NOUN
ejpam-5404	213	16	)	)	PUNCT
ejpam-5404	213	17	]	]	PUNCT
ejpam-5404	214	1	=	=	PUNCT
ejpam-5404	214	2	(	(	PUNCT
ejpam-5404	214	3	gin	gin	NOUN
ejpam-5404	214	4	+	+	CCONJ
ejpam-5404	214	5	iin	iin	NOUN
ejpam-5404	214	6	−	−	PROPN
ejpam-5404	214	7	τe[n(t	τe[n(t	PROPN
ejpam-5404	214	8	)	)	PUNCT
ejpam-5404	214	9	]	]	PUNCT
ejpam-5404	214	10	)	)	PUNCT
ejpam-5404	214	11	dt	dt	X
ejpam-5404	214	12	.	.	PUNCT
ejpam-5404	215	1	thus	thus	ADV
ejpam-5404	215	2	,	,	PUNCT
ejpam-5404	215	3	the	the	DET
ejpam-5404	215	4	expected	expect	VERB
ejpam-5404	215	5	total	total	ADJ
ejpam-5404	215	6	population	population	NOUN
ejpam-5404	215	7	e[n(t	e[n(t	NOUN
ejpam-5404	215	8	)	)	PUNCT
ejpam-5404	215	9	]	]	PUNCT
ejpam-5404	215	10	is	be	AUX
ejpam-5404	215	11	given	give	VERB
ejpam-5404	215	12	by	by	ADP
ejpam-5404	215	13	:	:	PUNCT
ejpam-5404	215	14	de[n(t	de[n(t	PROPN
ejpam-5404	215	15	)	)	PUNCT
ejpam-5404	215	16	]	]	PUNCT
ejpam-5404	216	1	dt	dt	NOUN
ejpam-5404	216	2	=	=	PUNCT
ejpam-5404	216	3	gin	gin	NOUN
ejpam-5404	216	4	+	+	CCONJ
ejpam-5404	216	5	iin	iin	NOUN
ejpam-5404	216	6	−	−	PROPN
ejpam-5404	216	7	τe[n(t	τe[n(t	PROPN
ejpam-5404	216	8	)	)	PUNCT
ejpam-5404	216	9	]	]	PUNCT
ejpam-5404	216	10	.	.	PUNCT
ejpam-5404	217	1	solving	solve	VERB
ejpam-5404	217	2	this	this	DET
ejpam-5404	217	3	linear	linear	ADJ
ejpam-5404	217	4	differential	differential	NOUN
ejpam-5404	217	5	equation	equation	NOUN
ejpam-5404	217	6	,	,	PUNCT
ejpam-5404	217	7	we	we	PRON
ejpam-5404	217	8	obtain	obtain	VERB
ejpam-5404	217	9	:	:	PUNCT
ejpam-5404	217	10	e[n(t	e[n(t	NUM
ejpam-5404	217	11	)	)	PUNCT
ejpam-5404	217	12	]	]	PUNCT
ejpam-5404	218	1	=	=	PUNCT
ejpam-5404	218	2	gin	gin	NOUN
ejpam-5404	218	3	+	+	CCONJ
ejpam-5404	218	4	iin	iin	PROPN
ejpam-5404	218	5	τ	τ	PROPN
ejpam-5404	218	6	+	+	CCONJ
ejpam-5404	218	7	(	(	PUNCT
ejpam-5404	218	8	n(0)−	n(0)−	NOUN
ejpam-5404	218	9	gin	gin	NOUN
ejpam-5404	218	10	+	+	CCONJ
ejpam-5404	218	11	iin	iin	PROPN
ejpam-5404	218	12	τ	τ	PROPN
ejpam-5404	218	13	)	)	PUNCT
ejpam-5404	218	14	e−τt	e−τt	PROPN
ejpam-5404	218	15	.	.	PUNCT
ejpam-5404	219	1	this	this	PRON
ejpam-5404	219	2	indicates	indicate	VERB
ejpam-5404	219	3	that	that	SCONJ
ejpam-5404	219	4	t	t	PROPN
ejpam-5404	219	5	→	→	SYM
ejpam-5404	219	6	∞	∞	PROPN
ejpam-5404	219	7	,	,	PUNCT
ejpam-5404	219	8	e[n(t	e[n(t	NUM
ejpam-5404	219	9	)	)	PUNCT
ejpam-5404	219	10	]	]	PUNCT
ejpam-5404	220	1	→	→	PUNCT
ejpam-5404	220	2	gin+iin	gin+iin	PROPN
ejpam-5404	220	3	τ	τ	PROPN
ejpam-5404	220	4	,	,	PUNCT
ejpam-5404	220	5	indicating	indicate	VERB
ejpam-5404	220	6	a	a	DET
ejpam-5404	220	7	bounded	bounded	ADJ
ejpam-5404	220	8	population	population	NOUN
ejpam-5404	220	9	.	.	PUNCT
ejpam-5404	221	1	s.	s.	PROPN
ejpam-5404	221	2	m.	m.	PROPN
ejpam-5404	221	3	alzahrani	alzahrani	PROPN
ejpam-5404	221	4	/	/	SYM
ejpam-5404	221	5	eur	eur	PROPN
ejpam-5404	221	6	.	.	PUNCT
ejpam-5404	222	1	j.	j.	PROPN
ejpam-5404	222	2	pure	pure	PROPN
ejpam-5404	222	3	appl	appl	PROPN
ejpam-5404	222	4	.	.	PROPN
ejpam-5404	222	5	math	math	PROPN
ejpam-5404	222	6	,	,	PUNCT
ejpam-5404	222	7	18	18	NUM
ejpam-5404	222	8	(	(	PUNCT
ejpam-5404	222	9	1	1	NUM
ejpam-5404	222	10	)	)	PUNCT
ejpam-5404	222	11	(	(	PUNCT
ejpam-5404	222	12	2025	2025	NUM
ejpam-5404	222	13	)	)	PUNCT
ejpam-5404	222	14	,	,	PUNCT
ejpam-5404	222	15	5404	5404	NUM
ejpam-5404	222	16	9	9	NUM
ejpam-5404	222	17	of	of	ADP
ejpam-5404	222	18	22	22	NUM
ejpam-5404	222	19	4.3	4.3	NUM
ejpam-5404	222	20	.	.	PUNCT
ejpam-5404	222	21	feasible	feasible	ADJ
ejpam-5404	222	22	region	region	NOUN
ejpam-5404	222	23	and	and	CCONJ
ejpam-5404	222	24	global	global	ADJ
ejpam-5404	222	25	existence	existence	NOUN
ejpam-5404	222	26	solution	solution	NOUN
ejpam-5404	222	27	theorem	theorem	VERB
ejpam-5404	222	28	4	4	NUM
ejpam-5404	222	29	.	.	PUNCT
ejpam-5404	223	1	if	if	SCONJ
ejpam-5404	223	2	(	(	PUNCT
ejpam-5404	223	3	g(0	g(0	NOUN
ejpam-5404	223	4	)	)	PUNCT
ejpam-5404	223	5	,	,	PUNCT
ejpam-5404	223	6	i(0	i(0	PROPN
ejpam-5404	223	7	)	)	PUNCT
ejpam-5404	223	8	)	)	PUNCT
ejpam-5404	224	1	∈	∈	PROPN
ejpam-5404	224	2	r2	r2	PROPN
ejpam-5404	224	3	+	+	PROPN
ejpam-5404	224	4	,	,	PUNCT
ejpam-5404	224	5	model	model	NOUN
ejpam-5404	224	6	(	(	PUNCT
ejpam-5404	224	7	2	2	NUM
ejpam-5404	224	8	)	)	PUNCT
ejpam-5404	224	9	has	have	VERB
ejpam-5404	224	10	a	a	DET
ejpam-5404	224	11	unique	unique	ADJ
ejpam-5404	224	12	solution	solution	NOUN
ejpam-5404	224	13	(	(	PUNCT
ejpam-5404	224	14	g(t	g(t	PROPN
ejpam-5404	224	15	)	)	PUNCT
ejpam-5404	224	16	,	,	PUNCT
ejpam-5404	224	17	i(t	i(t	PROPN
ejpam-5404	224	18	)	)	PUNCT
ejpam-5404	224	19	)	)	PUNCT
ejpam-5404	224	20	on	on	ADP
ejpam-5404	224	21	t	t	PROPN
ejpam-5404	224	22	⩾	⩾	NOUN
ejpam-5404	224	23	0	0	NUM
ejpam-5404	224	24	.	.	PUNCT
ejpam-5404	225	1	moreover	moreover	ADV
ejpam-5404	225	2	,	,	PUNCT
ejpam-5404	225	3	the	the	DET
ejpam-5404	225	4	solution	solution	NOUN
ejpam-5404	225	5	(	(	PUNCT
ejpam-5404	225	6	g(t	g(t	PROPN
ejpam-5404	225	7	)	)	PUNCT
ejpam-5404	225	8	,	,	PUNCT
ejpam-5404	225	9	i(t	i(t	PROPN
ejpam-5404	225	10	)	)	PUNCT
ejpam-5404	225	11	)	)	PUNCT
ejpam-5404	225	12	will	will	AUX
ejpam-5404	225	13	remain	remain	VERB
ejpam-5404	225	14	in	in	ADP
ejpam-5404	225	15	r2	r2	PROPN
ejpam-5404	225	16	+	+	CCONJ
ejpam-5404	225	17	with	with	ADP
ejpam-5404	225	18	probability	probability	NOUN
ejpam-5404	225	19	1	1	NUM
ejpam-5404	225	20	.	.	PUNCT
ejpam-5404	226	1	proof	proof	NOUN
ejpam-5404	226	2	.	.	PUNCT
ejpam-5404	227	1	clearly	clearly	ADV
ejpam-5404	227	2	,	,	PUNCT
ejpam-5404	227	3	the	the	DET
ejpam-5404	227	4	coefficients	coefficient	NOUN
ejpam-5404	227	5	of	of	ADP
ejpam-5404	227	6	the	the	DET
ejpam-5404	227	7	system	system	NOUN
ejpam-5404	227	8	(	(	PUNCT
ejpam-5404	227	9	2	2	X
ejpam-5404	227	10	)	)	PUNCT
ejpam-5404	227	11	will	will	AUX
ejpam-5404	227	12	be	be	AUX
ejpam-5404	227	13	lipschitz	lipschitz	VERB
ejpam-5404	227	14	continuous	continuous	ADJ
ejpam-5404	227	15	at	at	ADP
ejpam-5404	227	16	any	any	DET
ejpam-5404	227	17	initial	initial	ADJ
ejpam-5404	227	18	value	value	NOUN
ejpam-5404	227	19	of	of	ADP
ejpam-5404	227	20	(	(	PUNCT
ejpam-5404	227	21	g(0	g(0	PROPN
ejpam-5404	227	22	)	)	PUNCT
ejpam-5404	227	23	,	,	PUNCT
ejpam-5404	227	24	i(0	i(0	PROPN
ejpam-5404	227	25	)	)	PUNCT
ejpam-5404	227	26	,	,	PUNCT
ejpam-5404	227	27	)	)	PUNCT
ejpam-5404	227	28	∈	∈	NOUN
ejpam-5404	227	29	r2	r2	PROPN
ejpam-5404	227	30	+	+	NOUN
ejpam-5404	227	31	.	.	PUNCT
ejpam-5404	227	32	system	system	NOUN
ejpam-5404	227	33	(	(	PUNCT
ejpam-5404	227	34	2	2	X
ejpam-5404	227	35	)	)	PUNCT
ejpam-5404	227	36	can	can	AUX
ejpam-5404	227	37	be	be	AUX
ejpam-5404	227	38	written	write	VERB
ejpam-5404	227	39	as	as	ADP
ejpam-5404	227	40	,	,	PUNCT
ejpam-5404	227	41	|g	|g	NOUN
ejpam-5404	227	42	(	(	PUNCT
ejpam-5404	227	43	t1)−g	t1)−g	X
ejpam-5404	227	44	(	(	PUNCT
ejpam-5404	227	45	t2)|	t2)|	NOUN
ejpam-5404	227	46	=	=	SYM
ejpam-5404	227	47	|(gin	|(gin	NUM
ejpam-5404	227	48	−	−	NUM
ejpam-5404	227	49	ag(t1)−	ag(t1)−	ADJ
ejpam-5404	227	50	bg(t1)i)−	bg(t1)i)−	PROPN
ejpam-5404	227	51	(	(	PUNCT
ejpam-5404	227	52	gin	gin	NOUN
ejpam-5404	227	53	−	−	NOUN
ejpam-5404	227	54	ag(t2)−	ag(t2)−	VERB
ejpam-5404	227	55	bg(t2)i	bg(t2)i	NOUN
ejpam-5404	227	56	)	)	PUNCT
ejpam-5404	228	1	+	+	NUM
ejpam-5404	228	2	ξ1	ξ1	PROPN
ejpam-5404	228	3	g	g	NOUN
ejpam-5404	228	4	(	(	PUNCT
ejpam-5404	228	5	t1	t1	NOUN
ejpam-5404	228	6	)	)	PUNCT
ejpam-5404	228	7	−	−	PROPN
ejpam-5404	228	8	ξ1	ξ1	PROPN
ejpam-5404	228	9	g	g	PROPN
ejpam-5404	228	10	(	(	PUNCT
ejpam-5404	228	11	t2	t2	NOUN
ejpam-5404	228	12	)	)	PUNCT
ejpam-5404	229	1	|	|	ADV
ejpam-5404	229	2	=	=	SYM
ejpam-5404	229	3	(	(	PUNCT
ejpam-5404	229	4	a+	a+	PUNCT
ejpam-5404	229	5	b|i|+	b|i|+	NOUN
ejpam-5404	229	6	ξ1)|g	ξ1)|g	NOUN
ejpam-5404	229	7	(	(	PUNCT
ejpam-5404	229	8	t1)−g	t1)−g	PROPN
ejpam-5404	229	9	(	(	PUNCT
ejpam-5404	229	10	t2	t2	NOUN
ejpam-5404	229	11	)	)	PUNCT
ejpam-5404	229	12	|	|	ADV
ejpam-5404	229	13	⩽	⩽	ADJ
ejpam-5404	229	14	τ1	τ1	ADP
ejpam-5404	229	15	|t	|t	PROPN
ejpam-5404	230	1	(	(	PUNCT
ejpam-5404	230	2	t1)−	t1)−	NOUN
ejpam-5404	230	3	t	t	PROPN
ejpam-5404	230	4	(	(	PUNCT
ejpam-5404	230	5	t2)|	t2)|	NOUN
ejpam-5404	230	6	.	.	PUNCT
ejpam-5404	231	1	where	where	SCONJ
ejpam-5404	231	2	τ1	τ1	NOUN
ejpam-5404	231	3	=	=	SYM
ejpam-5404	231	4	a+	a+	PUNCT
ejpam-5404	231	5	bm	bm	PROPN
ejpam-5404	231	6	+	+	CCONJ
ejpam-5404	231	7	ξ1	ξ1	PROPN
ejpam-5404	231	8	.	.	PUNCT
ejpam-5404	232	1	we	we	PRON
ejpam-5404	232	2	can	can	AUX
ejpam-5404	232	3	demonstrate	demonstrate	VERB
ejpam-5404	232	4	that	that	SCONJ
ejpam-5404	232	5	the	the	DET
ejpam-5404	232	6	rest	rest	NOUN
ejpam-5404	232	7	of	of	ADP
ejpam-5404	232	8	the	the	DET
ejpam-5404	232	9	coefficients	coefficient	NOUN
ejpam-5404	232	10	are	be	AUX
ejpam-5404	232	11	lipschitz	lipschitz	VERB
ejpam-5404	232	12	locally	locally	ADV
ejpam-5404	232	13	.	.	PUNCT
ejpam-5404	233	1	therefore	therefore	ADV
ejpam-5404	233	2	,	,	PUNCT
ejpam-5404	233	3	a	a	DET
ejpam-5404	233	4	unique	unique	ADJ
ejpam-5404	233	5	local	local	ADJ
ejpam-5404	233	6	solution	solution	NOUN
ejpam-5404	233	7	(	(	PUNCT
ejpam-5404	233	8	g(t	g(t	PROPN
ejpam-5404	233	9	)	)	PUNCT
ejpam-5404	233	10	,	,	PUNCT
ejpam-5404	233	11	i(t	i(t	PROPN
ejpam-5404	233	12	)	)	PUNCT
ejpam-5404	233	13	)	)	PUNCT
ejpam-5404	234	1	∈	∈	NOUN
ejpam-5404	234	2	r2	r2	NOUN
ejpam-5404	234	3	+	+	PROPN
ejpam-5404	234	4	,	,	PUNCT
ejpam-5404	234	5	∀t	∀t	PROPN
ejpam-5404	234	6	∈	∈	PROPN
ejpam-5404	234	7	[	[	X
ejpam-5404	234	8	0	0	NUM
ejpam-5404	234	9	,	,	PUNCT
ejpam-5404	234	10	τ2	τ2	PROPN
ejpam-5404	234	11	]	]	PUNCT
ejpam-5404	234	12	must	must	AUX
ejpam-5404	234	13	exist	exist	VERB
ejpam-5404	234	14	.	.	PUNCT
ejpam-5404	235	1	here	here	ADV
ejpam-5404	235	2	τ2	τ2	NOUN
ejpam-5404	235	3	is	be	AUX
ejpam-5404	235	4	explosion	explosion	NOUN
ejpam-5404	235	5	time	time	NOUN
ejpam-5404	235	6	.	.	PUNCT
ejpam-5404	236	1	a	a	DET
ejpam-5404	236	2	global	global	ADJ
ejpam-5404	236	3	solution	solution	NOUN
ejpam-5404	236	4	requires	require	VERB
ejpam-5404	236	5	proving	prove	VERB
ejpam-5404	236	6	that	that	SCONJ
ejpam-5404	236	7	τ2	τ2	NOUN
ejpam-5404	236	8	=	=	SYM
ejpam-5404	236	9	∞.	∞.	PROPN
ejpam-5404	236	10	let	let	VERB
ejpam-5404	236	11	τ0	τ0	NOUN
ejpam-5404	236	12	be	be	AUX
ejpam-5404	236	13	a	a	DET
ejpam-5404	236	14	positive	positive	ADJ
ejpam-5404	236	15	constant	constant	NOUN
ejpam-5404	236	16	whose	whose	DET
ejpam-5404	236	17	values	value	NOUN
ejpam-5404	236	18	are	be	AUX
ejpam-5404	236	19	such	such	ADJ
ejpam-5404	236	20	that	that	SCONJ
ejpam-5404	236	21	(	(	PUNCT
ejpam-5404	236	22	g(0	g(0	PROPN
ejpam-5404	236	23	)	)	PUNCT
ejpam-5404	236	24	,	,	PUNCT
ejpam-5404	236	25	i(0	i(0	PROPN
ejpam-5404	236	26	)	)	PUNCT
ejpam-5404	236	27	)	)	PUNCT
ejpam-5404	237	1	∈	∈	NOUN
ejpam-5404	237	2	{	{	PUNCT
ejpam-5404	237	3	1	1	NUM
ejpam-5404	237	4	τ0	τ0	NOUN
ejpam-5404	237	5	,	,	PUNCT
ejpam-5404	237	6	τ0	τ0	NOUN
ejpam-5404	237	7	}	}	PUNCT
ejpam-5404	237	8	.	.	PUNCT
ejpam-5404	238	1	based	base	VERB
ejpam-5404	238	2	on	on	ADP
ejpam-5404	238	3	a	a	DET
ejpam-5404	238	4	stopping	stopping	NOUN
ejpam-5404	238	5	time	time	NOUN
ejpam-5404	238	6	τk	τk	ADP
ejpam-5404	238	7	=	=	PUNCT
ejpam-5404	238	8	{	{	PUNCT
ejpam-5404	238	9	t	t	PROPN
ejpam-5404	238	10	∈	∈	PROPN
ejpam-5404	239	1	[	[	X
ejpam-5404	239	2	0	0	NUM
ejpam-5404	239	3	,	,	PUNCT
ejpam-5404	239	4	τ2	τ2	PROPN
ejpam-5404	239	5	]	]	PUNCT
ejpam-5404	239	6	:	:	PUNCT
ejpam-5404	239	7	1	1	NUM
ejpam-5404	239	8	k	k	PROPN
ejpam-5404	239	9	≥	≥	X
ejpam-5404	239	10	min	min	PROPN
ejpam-5404	239	11	{	{	PUNCT
ejpam-5404	239	12	(	(	PUNCT
ejpam-5404	239	13	g(t	g(t	PROPN
ejpam-5404	239	14	)	)	PUNCT
ejpam-5404	239	15	,	,	PUNCT
ejpam-5404	239	16	i(t	i(t	PROPN
ejpam-5404	239	17	)	)	PUNCT
ejpam-5404	239	18	)	)	PUNCT
ejpam-5404	239	19	}	}	PUNCT
ejpam-5404	239	20	or	or	CCONJ
ejpam-5404	239	21	max	max	PROPN
ejpam-5404	239	22	{	{	PUNCT
ejpam-5404	239	23	(	(	PUNCT
ejpam-5404	239	24	g(t	g(t	PROPN
ejpam-5404	239	25	)	)	PUNCT
ejpam-5404	239	26	,	,	PUNCT
ejpam-5404	239	27	i(t	i(t	PROPN
ejpam-5404	239	28	)	)	PUNCT
ejpam-5404	239	29	)	)	PUNCT
ejpam-5404	239	30	}	}	PUNCT
ejpam-5404	239	31	≥	≥	X
ejpam-5404	239	32	k	k	NOUN
ejpam-5404	239	33	}	}	PUNCT
ejpam-5404	239	34	,	,	PUNCT
ejpam-5404	239	35	for	for	ADP
ejpam-5404	239	36	each	each	DET
ejpam-5404	239	37	k	k	PROPN
ejpam-5404	239	38	≥	≥	PROPN
ejpam-5404	239	39	τ0	τ0	NOUN
ejpam-5404	239	40	.	.	PUNCT
ejpam-5404	240	1	considering	consider	VERB
ejpam-5404	240	2	the	the	DET
ejpam-5404	240	3	stopping	stopping	NOUN
ejpam-5404	240	4	time	time	NOUN
ejpam-5404	240	5	as	as	ADP
ejpam-5404	240	6	k	k	PROPN
ejpam-5404	240	7	→	→	SYM
ejpam-5404	240	8	∞	∞	PROPN
ejpam-5404	240	9	,	,	PUNCT
ejpam-5404	240	10	τk	τk	ADV
ejpam-5404	240	11	is	be	AUX
ejpam-5404	240	12	monotonically	monotonically	ADV
ejpam-5404	240	13	increasing	increase	VERB
ejpam-5404	240	14	.	.	PUNCT
ejpam-5404	241	1	by	by	ADP
ejpam-5404	241	2	setting	set	VERB
ejpam-5404	241	3	limk→∞	limk→∞	NOUN
ejpam-5404	241	4	τk	τk	ADP
ejpam-5404	241	5	=	=	PUNCT
ejpam-5404	241	6	τ∞	τ∞	NOUN
ejpam-5404	241	7	with	with	ADP
ejpam-5404	241	8	τl	τl	PROPN
ejpam-5404	241	9	≥	≥	NOUN
ejpam-5404	241	10	τ∞,∀t	τ∞,∀t	ADJ
ejpam-5404	241	11	≥	≥	NOUN
ejpam-5404	241	12	0	0	NUM
ejpam-5404	241	13	,	,	PUNCT
ejpam-5404	241	14	we	we	PRON
ejpam-5404	241	15	prove	prove	VERB
ejpam-5404	241	16	that	that	SCONJ
ejpam-5404	241	17	τ∞	τ∞	NOUN
ejpam-5404	241	18	=	=	SYM
ejpam-5404	241	19	0	0	NUM
ejpam-5404	241	20	and	and	CCONJ
ejpam-5404	241	21	(	(	PUNCT
ejpam-5404	241	22	g(t	g(t	PROPN
ejpam-5404	241	23	)	)	PUNCT
ejpam-5404	241	24	,	,	PUNCT
ejpam-5404	241	25	i(t	i(t	PROPN
ejpam-5404	241	26	)	)	PUNCT
ejpam-5404	241	27	)	)	PUNCT
ejpam-5404	242	1	∈	∈	NOUN
ejpam-5404	242	2	r2	r2	NOUN
ejpam-5404	242	3	+	+	PROPN
ejpam-5404	242	4	.	.	PUNCT
ejpam-5404	242	5	consequently	consequently	ADV
ejpam-5404	242	6	,	,	PUNCT
ejpam-5404	242	7	0	0	NUM
ejpam-5404	242	8	<	<	X
ejpam-5404	242	9	σ	σ	PROPN
ejpam-5404	242	10	and	and	CCONJ
ejpam-5404	242	11	gin	gin	NOUN
ejpam-5404	242	12	+	+	CCONJ
ejpam-5404	242	13	iin	iin	PROPN
ejpam-5404	242	14	∈	∈	PROPN
ejpam-5404	242	15	(	(	PUNCT
ejpam-5404	242	16	0	0	NUM
ejpam-5404	242	17	,	,	PUNCT
ejpam-5404	242	18	1	1	NUM
ejpam-5404	242	19	)	)	PUNCT
ejpam-5404	242	20	such	such	ADJ
ejpam-5404	242	21	that	that	SCONJ
ejpam-5404	242	22	p	p	PROPN
ejpam-5404	242	23	{	{	PUNCT
ejpam-5404	242	24	σ	σ	PROPN
ejpam-5404	242	25	≥	≥	NOUN
ejpam-5404	242	26	τ2	τ2	PROPN
ejpam-5404	242	27	}	}	PUNCT
ejpam-5404	242	28	>	>	PUNCT
ejpam-5404	242	29	gin	gin	NOUN
ejpam-5404	242	30	+	+	CCONJ
ejpam-5404	242	31	iin	iin	PROPN
ejpam-5404	242	32	.	.	PUNCT
ejpam-5404	243	1	thus	thus	ADV
ejpam-5404	243	2	dl(g	dl(g	NOUN
ejpam-5404	243	3	,	,	PUNCT
ejpam-5404	243	4	i	i	NOUN
ejpam-5404	243	5	)	)	PUNCT
ejpam-5404	243	6	=	=	PUNCT
ejpam-5404	244	1	(	(	PUNCT
ejpam-5404	244	2	1−	1−	NUM
ejpam-5404	244	3	1	1	NUM
ejpam-5404	244	4	g	g	NOUN
ejpam-5404	244	5	)	)	PUNCT
ejpam-5404	244	6	dg+	dg+	PROPN
ejpam-5404	244	7	σ1(g−	σ1(g−	NOUN
ejpam-5404	244	8	1)db1(t	1)db1(t	NUM
ejpam-5404	244	9	)	)	PUNCT
ejpam-5404	245	1	+	+	CCONJ
ejpam-5404	245	2	(	(	PUNCT
ejpam-5404	245	3	1−	1−	NUM
ejpam-5404	245	4	1	1	NUM
ejpam-5404	245	5	i	i	NOUN
ejpam-5404	245	6	)	)	PUNCT
ejpam-5404	245	7	di	di	NOUN
ejpam-5404	245	8	+	+	CCONJ
ejpam-5404	245	9	σ2(i	σ2(i	NOUN
ejpam-5404	245	10	−	−	NOUN
ejpam-5404	245	11	1)db2(t	1)db2(t	NOUN
ejpam-5404	245	12	)	)	PUNCT
ejpam-5404	245	13	.	.	PUNCT
ejpam-5404	246	1	now	now	ADV
ejpam-5404	246	2	,	,	PUNCT
ejpam-5404	246	3	let	let	VERB
ejpam-5404	246	4	h	h	NOUN
ejpam-5404	246	5	:	:	PUNCT
ejpam-5404	246	6	r2	r2	PROPN
ejpam-5404	246	7	+	+	CCONJ
ejpam-5404	246	8	→	→	X
ejpam-5404	246	9	r+	r+	NOUN
ejpam-5404	246	10	from	from	ADP
ejpam-5404	246	11	the	the	DET
ejpam-5404	246	12	c2	c2	PROPN
ejpam-5404	246	13	space	space	NOUN
ejpam-5404	246	14	,	,	PUNCT
ejpam-5404	246	15	satisfies	satisfie	NOUN
ejpam-5404	246	16	h	h	X
ejpam-5404	247	1	(	(	PUNCT
ejpam-5404	247	2	g	g	NOUN
ejpam-5404	247	3	,	,	PUNCT
ejpam-5404	247	4	i	i	NOUN
ejpam-5404	247	5	)	)	PUNCT
ejpam-5404	247	6	=	=	SYM
ejpam-5404	247	7	g+	g+	NOUN
ejpam-5404	248	1	i	i	PRON
ejpam-5404	248	2	−	−	PROPN
ejpam-5404	248	3	2−	2−	NUM
ejpam-5404	248	4	(	(	PUNCT
ejpam-5404	248	5	logg+	logg+	ADP
ejpam-5404	248	6	log	log	PROPN
ejpam-5404	248	7	i	i	NOUN
ejpam-5404	248	8	)	)	PUNCT
ejpam-5404	248	9	.	.	PUNCT
ejpam-5404	249	1	(	(	PUNCT
ejpam-5404	249	2	3	3	X
ejpam-5404	249	3	)	)	PUNCT
ejpam-5404	249	4	for	for	ADP
ejpam-5404	249	5	all	all	DET
ejpam-5404	249	6	y	y	PROPN
ejpam-5404	249	7	>	>	X
ejpam-5404	249	8	0	0	NUM
ejpam-5404	249	9	,	,	PUNCT
ejpam-5404	249	10	y−	y−	X
ejpam-5404	249	11	1−	1−	NUM
ejpam-5404	249	12	log	log	VERB
ejpam-5404	249	13	y	y	PROPN
ejpam-5404	249	14	⩾	⩾	NOUN
ejpam-5404	249	15	0	0	NUM
ejpam-5404	249	16	,	,	PUNCT
ejpam-5404	249	17	we	we	PRON
ejpam-5404	249	18	note	note	VERB
ejpam-5404	249	19	that	that	SCONJ
ejpam-5404	249	20	h	h	NOUN
ejpam-5404	250	1	⩾	⩾	NOUN
ejpam-5404	250	2	0	0	X
ejpam-5404	250	3	.	.	PUNCT
ejpam-5404	251	1	moreover	moreover	ADV
ejpam-5404	251	2	,	,	PUNCT
ejpam-5404	251	3	suppose	suppose	VERB
ejpam-5404	251	4	k0	k0	PROPN
ejpam-5404	251	5	⩽	⩽	PROPN
ejpam-5404	251	6	k	k	PROPN
ejpam-5404	251	7	and	and	CCONJ
ejpam-5404	251	8	0	0	NUM
ejpam-5404	251	9	<	<	X
ejpam-5404	251	10	t	t	NOUN
ejpam-5404	251	11	with	with	ADP
ejpam-5404	251	12	applying	apply	VERB
ejpam-5404	251	13	the	the	DET
ejpam-5404	251	14	itôo	itôo	ADJ
ejpam-5404	251	15	formula	formula	NOUN
ejpam-5404	251	16	on	on	ADP
ejpam-5404	251	17	equation	equation	NOUN
ejpam-5404	251	18	(	(	PUNCT
ejpam-5404	251	19	4.1	4.1	NUM
ejpam-5404	251	20	)	)	PUNCT
ejpam-5404	251	21	,	,	PUNCT
ejpam-5404	251	22	one	one	PRON
ejpam-5404	251	23	obtains	obtain	VERB
ejpam-5404	251	24	lh	lh	NOUN
ejpam-5404	251	25	:	:	PUNCT
ejpam-5404	251	26	r2	r2	PROPN
ejpam-5404	251	27	+	+	CCONJ
ejpam-5404	251	28	→	→	X
ejpam-5404	251	29	r+	r+	NOUN
ejpam-5404	251	30	as	as	ADP
ejpam-5404	251	31	lh	lh	PROPN
ejpam-5404	251	32	=	=	PUNCT
ejpam-5404	251	33	(	(	PUNCT
ejpam-5404	251	34	1−	1−	NUM
ejpam-5404	251	35	1	1	NUM
ejpam-5404	251	36	g	g	NOUN
ejpam-5404	251	37	)	)	PUNCT
ejpam-5404	251	38	(	(	PUNCT
ejpam-5404	251	39	gin	gin	NOUN
ejpam-5404	251	40	−	−	PROPN
ejpam-5404	251	41	ag−	ag−	PUNCT
ejpam-5404	251	42	bgi	bgi	PROPN
ejpam-5404	251	43	)	)	PUNCT
ejpam-5404	251	44	+	+	CCONJ
ejpam-5404	251	45	(	(	PUNCT
ejpam-5404	251	46	1−	1−	NUM
ejpam-5404	251	47	1	1	NUM
ejpam-5404	251	48	i	i	NOUN
ejpam-5404	251	49	)	)	PUNCT
ejpam-5404	251	50	(	(	PUNCT
ejpam-5404	251	51	iin	iin	NOUN
ejpam-5404	251	52	+	+	CCONJ
ejpam-5404	251	53	cg−	cg−	PUNCT
ejpam-5404	251	54	di	di	NOUN
ejpam-5404	251	55	e+	e+	VERB
ejpam-5404	251	56	i	i	PRON
ejpam-5404	251	57	)	)	PUNCT
ejpam-5404	252	1	+	+	CCONJ
ejpam-5404	252	2	σ2	σ2	NOUN
ejpam-5404	252	3	1	1	NUM
ejpam-5404	252	4	+	+	NUM
ejpam-5404	252	5	σ2	σ2	NOUN
ejpam-5404	252	6	2	2	NUM
ejpam-5404	252	7	2	2	NUM
ejpam-5404	252	8	=	=	NOUN
ejpam-5404	252	9	gin	gin	NOUN
ejpam-5404	252	10	−	−	PROPN
ejpam-5404	252	11	ag−	ag−	PUNCT
ejpam-5404	252	12	bgi	bgi	PROPN
ejpam-5404	252	13	−	−	PROPN
ejpam-5404	252	14	gin	gin	NOUN
ejpam-5404	252	15	g	g	NOUN
ejpam-5404	252	16	+	+	CCONJ
ejpam-5404	252	17	a+	a+	X
ejpam-5404	252	18	bi	bi	NOUN
ejpam-5404	252	19	+	+	CCONJ
ejpam-5404	252	20	iin	iin	PROPN
ejpam-5404	252	21	+	+	CCONJ
ejpam-5404	252	22	cg−	cg−	PUNCT
ejpam-5404	252	23	di	di	NOUN
ejpam-5404	252	24	e+	e+	PUNCT
ejpam-5404	252	25	i	i	PRON
ejpam-5404	252	26	−	−	PROPN
ejpam-5404	252	27	iin	iin	VERB
ejpam-5404	253	1	i	i	PRON
ejpam-5404	253	2	−	−	PROPN
ejpam-5404	254	1	cg	cg	INTJ
ejpam-5404	255	1	i	i	PRON
ejpam-5404	255	2	+	+	CCONJ
ejpam-5404	255	3	d+	d+	PUNCT
ejpam-5404	255	4	σ2	σ2	NOUN
ejpam-5404	255	5	1	1	NUM
ejpam-5404	255	6	+	+	NUM
ejpam-5404	255	7	σ2	σ2	NOUN
ejpam-5404	255	8	2	2	NUM
ejpam-5404	255	9	2	2	NUM
ejpam-5404	255	10	≤	≤	NOUN
ejpam-5404	255	11	gin	gin	NOUN
ejpam-5404	255	12	+	+	CCONJ
ejpam-5404	255	13	iin	iin	NOUN
ejpam-5404	255	14	+	+	CCONJ
ejpam-5404	255	15	a+	a+	PRON
ejpam-5404	255	16	d+	d+	NOUN
ejpam-5404	255	17	σ2	σ2	PROPN
ejpam-5404	255	18	1	1	NUM
ejpam-5404	255	19	+	+	PROPN
ejpam-5404	255	20	σ2	σ2	NOUN
ejpam-5404	255	21	2	2	NUM
ejpam-5404	255	22	2	2	NUM
ejpam-5404	255	23	:	:	PUNCT
ejpam-5404	255	24	=	=	SYM
ejpam-5404	255	25	k	k	X
ejpam-5404	255	26	(	(	PUNCT
ejpam-5404	255	27	4	4	X
ejpam-5404	255	28	)	)	PUNCT
ejpam-5404	255	29	s.	s.	PROPN
ejpam-5404	255	30	m.	m.	PROPN
ejpam-5404	255	31	alzahrani	alzahrani	PROPN
ejpam-5404	255	32	/	/	SYM
ejpam-5404	255	33	eur	eur	PROPN
ejpam-5404	255	34	.	.	PUNCT
ejpam-5404	256	1	j.	j.	PROPN
ejpam-5404	256	2	pure	pure	PROPN
ejpam-5404	256	3	appl	appl	PROPN
ejpam-5404	256	4	.	.	PROPN
ejpam-5404	256	5	math	math	PROPN
ejpam-5404	256	6	,	,	PUNCT
ejpam-5404	256	7	18	18	NUM
ejpam-5404	256	8	(	(	PUNCT
ejpam-5404	256	9	1	1	NUM
ejpam-5404	256	10	)	)	PUNCT
ejpam-5404	256	11	(	(	PUNCT
ejpam-5404	256	12	2025	2025	NUM
ejpam-5404	256	13	)	)	PUNCT
ejpam-5404	256	14	,	,	PUNCT
ejpam-5404	256	15	5404	5404	NUM
ejpam-5404	256	16	10	10	NUM
ejpam-5404	256	17	of	of	ADP
ejpam-5404	256	18	22	22	NUM
ejpam-5404	256	19	based	base	VERB
ejpam-5404	256	20	on	on	ADP
ejpam-5404	256	21	the	the	DET
ejpam-5404	256	22	formulation	formulation	NOUN
ejpam-5404	256	23	of	of	ADP
ejpam-5404	256	24	k	k	PROPN
ejpam-5404	256	25	,	,	PUNCT
ejpam-5404	256	26	we	we	PRON
ejpam-5404	256	27	can	can	AUX
ejpam-5404	256	28	see	see	VERB
ejpam-5404	256	29	that	that	SCONJ
ejpam-5404	256	30	it	it	PRON
ejpam-5404	256	31	is	be	AUX
ejpam-5404	256	32	both	both	CCONJ
ejpam-5404	256	33	positive	positive	ADJ
ejpam-5404	256	34	and	and	CCONJ
ejpam-5404	256	35	independent	independent	ADJ
ejpam-5404	256	36	at	at	ADP
ejpam-5404	256	37	the	the	DET
ejpam-5404	256	38	same	same	ADJ
ejpam-5404	256	39	time	time	NOUN
ejpam-5404	256	40	.	.	PUNCT
ejpam-5404	257	1	so	so	ADV
ejpam-5404	257	2	,	,	PUNCT
ejpam-5404	257	3	dh	dh	INTJ
ejpam-5404	257	4	(	(	PUNCT
ejpam-5404	257	5	g	g	PROPN
ejpam-5404	257	6	,	,	PUNCT
ejpam-5404	257	7	i	i	NOUN
ejpam-5404	257	8	)	)	PUNCT
ejpam-5404	257	9	⩽	⩽	PROPN
ejpam-5404	257	10	kdt+	kdt+	PROPN
ejpam-5404	257	11	η1(g−	η1(g−	NOUN
ejpam-5404	257	12	1)db1(t	1)db1(t	NUM
ejpam-5404	257	13	)	)	PUNCT
ejpam-5404	258	1	+	+	PUNCT
ejpam-5404	259	1	η2(i	η2(i	ADP
ejpam-5404	259	2	−	−	ADP
ejpam-5404	259	3	1)db2(t	1)db2(t	NUM
ejpam-5404	259	4	)	)	PUNCT
ejpam-5404	259	5	.	.	PUNCT
ejpam-5404	260	1	(	(	PUNCT
ejpam-5404	260	2	5	5	X
ejpam-5404	260	3	)	)	PUNCT
ejpam-5404	260	4	integrate	integrate	VERB
ejpam-5404	260	5	both	both	DET
ejpam-5404	260	6	sides	side	NOUN
ejpam-5404	260	7	of	of	ADP
ejpam-5404	260	8	eq	eq	NOUN
ejpam-5404	260	9	(	(	PUNCT
ejpam-5404	260	10	4.3	4.3	NUM
ejpam-5404	260	11	)	)	PUNCT
ejpam-5404	260	12	from	from	ADP
ejpam-5404	260	13	0	0	NUM
ejpam-5404	260	14	to	to	ADP
ejpam-5404	260	15	τk	τk	ADP
ejpam-5404	260	16	∧	∧	PROPN
ejpam-5404	260	17	t	t	PROPN
ejpam-5404	260	18	e	e	NOUN
ejpam-5404	261	1	[	[	X
ejpam-5404	261	2	h	h	X
ejpam-5404	261	3	(	(	PUNCT
ejpam-5404	261	4	g	g	PROPN
ejpam-5404	261	5	(	(	PUNCT
ejpam-5404	261	6	τk	τk	ADP
ejpam-5404	261	7	∧	∧	PROPN
ejpam-5404	261	8	t	t	PROPN
ejpam-5404	261	9	)	)	PUNCT
ejpam-5404	261	10	,	,	PUNCT
ejpam-5404	261	11	i	i	PRON
ejpam-5404	261	12	(	(	PUNCT
ejpam-5404	261	13	τk	τk	ADP
ejpam-5404	261	14	∧	∧	PROPN
ejpam-5404	261	15	t	t	PROPN
ejpam-5404	261	16	)	)	PUNCT
ejpam-5404	261	17	,	,	PUNCT
ejpam-5404	261	18	)	)	PUNCT
ejpam-5404	261	19	]	]	PUNCT
ejpam-5404	261	20	⩽	⩽	ADJ
ejpam-5404	261	21	h	h	PROPN
ejpam-5404	261	22	(	(	PUNCT
ejpam-5404	261	23	g(0	g(0	PROPN
ejpam-5404	261	24	)	)	PUNCT
ejpam-5404	261	25	,	,	PUNCT
ejpam-5404	261	26	i(0	i(0	PROPN
ejpam-5404	261	27	)	)	PUNCT
ejpam-5404	261	28	)	)	PUNCT
ejpam-5404	262	1	+	+	CCONJ
ejpam-5404	262	2	e	e	X
ejpam-5404	263	1	[	[	X
ejpam-5404	263	2	∫	∫	X
ejpam-5404	263	3	τk∧t	τk∧t	NOUN
ejpam-5404	263	4	0	0	PUNCT
ejpam-5404	264	1	k	k	X
ejpam-5404	264	2	]	]	PUNCT
ejpam-5404	264	3	⩽	⩽	ADJ
ejpam-5404	264	4	h	h	PROPN
ejpam-5404	264	5	(	(	PUNCT
ejpam-5404	264	6	g(0	g(0	PROPN
ejpam-5404	264	7	)	)	PUNCT
ejpam-5404	264	8	,	,	PUNCT
ejpam-5404	264	9	i(0	i(0	PROPN
ejpam-5404	264	10	)	)	PUNCT
ejpam-5404	264	11	)	)	PUNCT
ejpam-5404	265	1	+	+	CCONJ
ejpam-5404	265	2	tk	tk	PROPN
ejpam-5404	265	3	.	.	PROPN
ejpam-5404	265	4	dh	dh	PROPN
ejpam-5404	265	5	(	(	PUNCT
ejpam-5404	265	6	g	g	NOUN
ejpam-5404	265	7	,	,	PUNCT
ejpam-5404	265	8	i	i	NOUN
ejpam-5404	265	9	)	)	PUNCT
ejpam-5404	265	10	=	=	PUNCT
ejpam-5404	266	1	(	(	PUNCT
ejpam-5404	266	2	1−	1−	NUM
ejpam-5404	266	3	1	1	NUM
ejpam-5404	266	4	g	g	NOUN
ejpam-5404	266	5	)	)	PUNCT
ejpam-5404	266	6	dg+	dg+	PROPN
ejpam-5404	266	7	η1(g−	η1(g−	PROPN
ejpam-5404	266	8	1)db1(t	1)db1(t	NUM
ejpam-5404	266	9	)	)	PUNCT
ejpam-5404	267	1	+	+	CCONJ
ejpam-5404	267	2	(	(	PUNCT
ejpam-5404	267	3	1−	1−	NUM
ejpam-5404	267	4	1	1	NUM
ejpam-5404	267	5	i	i	NOUN
ejpam-5404	267	6	)	)	PUNCT
ejpam-5404	267	7	di	di	NOUN
ejpam-5404	267	8	+	+	CCONJ
ejpam-5404	267	9	η2(i	η2(i	ADP
ejpam-5404	267	10	−	−	ADP
ejpam-5404	267	11	1)db2(t	1)db2(t	NOUN
ejpam-5404	267	12	)	)	PUNCT
ejpam-5404	268	1	=	=	PRON
ejpam-5404	268	2	lh	lh	PROPN
ejpam-5404	268	3	(	(	PUNCT
ejpam-5404	268	4	g	g	NOUN
ejpam-5404	268	5	,	,	PUNCT
ejpam-5404	268	6	i)dt+	i)dt+	ADP
ejpam-5404	268	7	η1(g−	η1(g−	NOUN
ejpam-5404	268	8	1)db1(t	1)db1(t	NUM
ejpam-5404	268	9	)	)	PUNCT
ejpam-5404	269	1	+	+	PUNCT
ejpam-5404	270	1	η2(i	η2(i	ADP
ejpam-5404	270	2	−	−	ADP
ejpam-5404	270	3	1)db2(t	1)db2(t	NUM
ejpam-5404	270	4	)	)	PUNCT
ejpam-5404	270	5	.	.	PUNCT
ejpam-5404	271	1	by	by	ADP
ejpam-5404	271	2	setting	set	VERB
ejpam-5404	271	3	ωk	ωk	ADP
ejpam-5404	271	4	=	=	PUNCT
ejpam-5404	271	5	{	{	PUNCT
ejpam-5404	271	6	t	t	NOUN
ejpam-5404	271	7	⩾	⩾	NOUN
ejpam-5404	271	8	τk	τk	ADV
ejpam-5404	271	9	}	}	PUNCT
ejpam-5404	271	10	and	and	CCONJ
ejpam-5404	271	11	for	for	ADP
ejpam-5404	271	12	k1	k1	PROPN
ejpam-5404	271	13	⩽	⩽	PROPN
ejpam-5404	271	14	k.	k.	PROPN
ejpam-5404	271	15	thus	thus	ADV
ejpam-5404	271	16	,	,	PUNCT
ejpam-5404	271	17	by	by	ADP
ejpam-5404	271	18	eq	eq	NOUN
ejpam-5404	271	19	.	.	PUNCT
ejpam-5404	271	20	(	(	PUNCT
ejpam-5404	271	21	4.2	4.2	NUM
ejpam-5404	271	22	)	)	PUNCT
ejpam-5404	271	23	,	,	PUNCT
ejpam-5404	271	24	p	p	X
ejpam-5404	271	25	(	(	PUNCT
ejpam-5404	271	26	ωk	ωk	NOUN
ejpam-5404	271	27	)	)	PUNCT
ejpam-5404	271	28	⩾	⩾	ADJ
ejpam-5404	271	29	ϵ.	ϵ.	NOUN
ejpam-5404	271	30	for	for	ADP
ejpam-5404	271	31	every	every	DET
ejpam-5404	271	32	ϖ	ϖ	NOUN
ejpam-5404	271	33	in	in	ADP
ejpam-5404	271	34	ωk	ωk	ADP
ejpam-5404	271	35	,	,	PUNCT
ejpam-5404	271	36	at	at	ADV
ejpam-5404	271	37	least	least	ADV
ejpam-5404	271	38	one	one	NUM
ejpam-5404	271	39	g	g	NOUN
ejpam-5404	271	40	(	(	PUNCT
ejpam-5404	271	41	τk	τk	ADP
ejpam-5404	271	42	,	,	PUNCT
ejpam-5404	271	43	ϖ	ϖ	NOUN
ejpam-5404	271	44	)	)	PUNCT
ejpam-5404	271	45	,	,	PUNCT
ejpam-5404	271	46	i	i	PRON
ejpam-5404	271	47	(	(	PUNCT
ejpam-5404	271	48	τk	τk	ADP
ejpam-5404	271	49	,	,	PUNCT
ejpam-5404	271	50	ϖ	ϖ	NOUN
ejpam-5404	271	51	)	)	PUNCT
ejpam-5404	271	52	exist	exist	VERB
ejpam-5404	271	53	so	so	SCONJ
ejpam-5404	271	54	that	that	PRON
ejpam-5404	271	55	equals	equal	VERB
ejpam-5404	271	56	1	1	NUM
ejpam-5404	271	57	k	k	NOUN
ejpam-5404	271	58	or	or	CCONJ
ejpam-5404	271	59	k.	k.	PROPN
ejpam-5404	272	1	hence	hence	ADV
ejpam-5404	272	2	h	h	PROPN
ejpam-5404	272	3	(	(	PUNCT
ejpam-5404	272	4	g	g	NOUN
ejpam-5404	272	5	(	(	PUNCT
ejpam-5404	272	6	τk	τk	ADP
ejpam-5404	272	7	)	)	PUNCT
ejpam-5404	272	8	,	,	PUNCT
ejpam-5404	272	9	i	i	PRON
ejpam-5404	272	10	(	(	PUNCT
ejpam-5404	272	11	τk	τk	ADP
ejpam-5404	272	12	)	)	PUNCT
ejpam-5404	272	13	)	)	PUNCT
ejpam-5404	272	14	is	be	AUX
ejpam-5404	272	15	not	not	PART
ejpam-5404	272	16	less	less	ADJ
ejpam-5404	272	17	than	than	ADP
ejpam-5404	272	18	k	k	PROPN
ejpam-5404	272	19	−	−	PROPN
ejpam-5404	272	20	log	log	NOUN
ejpam-5404	272	21	k	k	NOUN
ejpam-5404	272	22	−	−	PROPN
ejpam-5404	272	23	1	1	NUM
ejpam-5404	272	24	or	or	CCONJ
ejpam-5404	272	25	log	log	VERB
ejpam-5404	272	26	k	k	PROPN
ejpam-5404	272	27	−	−	PROPN
ejpam-5404	272	28	1	1	NUM
ejpam-5404	273	1	+	+	SYM
ejpam-5404	273	2	1	1	NUM
ejpam-5404	273	3	k	k	NOUN
ejpam-5404	273	4	.	.	PUNCT
ejpam-5404	274	1	therefore	therefore	ADV
ejpam-5404	274	2	(	(	PUNCT
ejpam-5404	274	3	log	log	PROPN
ejpam-5404	274	4	k	k	NOUN
ejpam-5404	274	5	−	−	PROPN
ejpam-5404	274	6	1	1	NUM
ejpam-5404	274	7	+	+	SYM
ejpam-5404	274	8	1	1	NUM
ejpam-5404	274	9	k	k	NOUN
ejpam-5404	274	10	)	)	PUNCT
ejpam-5404	274	11	∧	∧	PROPN
ejpam-5404	274	12	e(k	e(k	PROPN
ejpam-5404	274	13	−	−	PROPN
ejpam-5404	275	1	log	log	NOUN
ejpam-5404	275	2	k	k	NOUN
ejpam-5404	275	3	−	−	PROPN
ejpam-5404	275	4	1	1	NUM
ejpam-5404	275	5	)	)	PUNCT
ejpam-5404	275	6	⩽	⩽	ADJ
ejpam-5404	275	7	h	h	NOUN
ejpam-5404	275	8	(	(	PUNCT
ejpam-5404	275	9	g	g	NOUN
ejpam-5404	275	10	(	(	PUNCT
ejpam-5404	275	11	τk	τk	ADP
ejpam-5404	275	12	)	)	PUNCT
ejpam-5404	275	13	,	,	PUNCT
ejpam-5404	275	14	i	i	PRON
ejpam-5404	275	15	(	(	PUNCT
ejpam-5404	275	16	τk	τk	ADP
ejpam-5404	275	17	)	)	PUNCT
ejpam-5404	275	18	)	)	PUNCT
ejpam-5404	275	19	.	.	PUNCT
ejpam-5404	276	1	therefore	therefore	ADV
ejpam-5404	276	2	h	h	PROPN
ejpam-5404	276	3	(	(	PUNCT
ejpam-5404	276	4	g(0	g(0	PROPN
ejpam-5404	276	5	)	)	PUNCT
ejpam-5404	276	6	,	,	PUNCT
ejpam-5404	276	7	i(0	i(0	PROPN
ejpam-5404	276	8	)	)	PUNCT
ejpam-5404	276	9	)	)	PUNCT
ejpam-5404	277	1	+	+	CCONJ
ejpam-5404	277	2	tk	tk	NOUN
ejpam-5404	277	3	⩾	⩾	PROPN
ejpam-5404	277	4	e	e	PROPN
ejpam-5404	277	5	[	[	PUNCT
ejpam-5404	277	6	1ω(ϖ)h	1ω(ϖ)h	NUM
ejpam-5404	277	7	(	(	PUNCT
ejpam-5404	277	8	g	g	NOUN
ejpam-5404	277	9	(	(	PUNCT
ejpam-5404	277	10	τk	τk	ADP
ejpam-5404	277	11	)	)	PUNCT
ejpam-5404	277	12	,	,	PUNCT
ejpam-5404	277	13	i	i	PRON
ejpam-5404	277	14	(	(	PUNCT
ejpam-5404	277	15	τk	τk	ADP
ejpam-5404	277	16	)	)	PUNCT
ejpam-5404	277	17	)	)	PUNCT
ejpam-5404	277	18	]	]	PUNCT
ejpam-5404	278	1	⩾	⩾	PUNCT
ejpam-5404	279	1	ϵ	ϵ	X
ejpam-5404	279	2	[	[	PUNCT
ejpam-5404	279	3	(	(	PUNCT
ejpam-5404	279	4	−1	−1	NOUN
ejpam-5404	280	1	+	+	CCONJ
ejpam-5404	280	2	k	k	PROPN
ejpam-5404	280	3	−	−	PROPN
ejpam-5404	280	4	log	log	NOUN
ejpam-5404	280	5	k	k	NOUN
ejpam-5404	280	6	)	)	PUNCT
ejpam-5404	280	7	∧	∧	NOUN
ejpam-5404	280	8	(	(	PUNCT
ejpam-5404	280	9	−1	−1	NOUN
ejpam-5404	280	10	+	+	CCONJ
ejpam-5404	280	11	1	1	NUM
ejpam-5404	280	12	k	k	NOUN
ejpam-5404	280	13	+	+	CCONJ
ejpam-5404	280	14	log	log	PROPN
ejpam-5404	280	15	k	k	PROPN
ejpam-5404	280	16	)	)	PUNCT
ejpam-5404	280	17	]	]	PUNCT
ejpam-5404	280	18	,	,	PUNCT
ejpam-5404	280	19	where	where	SCONJ
ejpam-5404	280	20	1ω(ϖ	1ω(ϖ	NOUN
ejpam-5404	280	21	)	)	PUNCT
ejpam-5404	280	22	is	be	AUX
ejpam-5404	280	23	the	the	DET
ejpam-5404	280	24	indicator	indicator	NOUN
ejpam-5404	280	25	function	function	NOUN
ejpam-5404	280	26	of	of	ADP
ejpam-5404	280	27	ω	ω	PROPN
ejpam-5404	280	28	.	.	PUNCT
ejpam-5404	281	1	the	the	DET
ejpam-5404	281	2	assumption	assumption	NOUN
ejpam-5404	281	3	k	k	PROPN
ejpam-5404	281	4	→	→	SYM
ejpam-5404	281	5	∞	∞	PROPN
ejpam-5404	281	6	yields	yield	VERB
ejpam-5404	281	7	a	a	DET
ejpam-5404	281	8	contradiction	contradiction	NOUN
ejpam-5404	281	9	∞	∞	PROPN
ejpam-5404	281	10	>	>	X
ejpam-5404	282	1	h	h	PROPN
ejpam-5404	282	2	(	(	PUNCT
ejpam-5404	282	3	g(0	g(0	PROPN
ejpam-5404	282	4	)	)	PUNCT
ejpam-5404	282	5	,	,	PUNCT
ejpam-5404	282	6	i(0	i(0	PROPN
ejpam-5404	282	7	)	)	PUNCT
ejpam-5404	282	8	)	)	PUNCT
ejpam-5404	283	1	+	+	CCONJ
ejpam-5404	283	2	tk	tk	PROPN
ejpam-5404	283	3	=	=	PROPN
ejpam-5404	283	4	∞.	∞.	PROPN
ejpam-5404	283	5	thus	thus	ADV
ejpam-5404	283	6	,	,	PUNCT
ejpam-5404	283	7	τ∞	τ∞	PUNCT
ejpam-5404	283	8	=	=	SYM
ejpam-5404	283	9	∞	∞	NUM
ejpam-5404	283	10	a.s	a.s	PROPN
ejpam-5404	283	11	.	.	PROPN
ejpam-5404	283	12	5	5	NUM
ejpam-5404	283	13	.	.	NOUN
ejpam-5404	283	14	sensitivity	sensitivity	NOUN
ejpam-5404	283	15	analysis	analysis	NOUN
ejpam-5404	283	16	of	of	ADP
ejpam-5404	283	17	glucose	glucose	NOUN
ejpam-5404	283	18	and	and	CCONJ
ejpam-5404	283	19	insulin	insulin	NOUN
ejpam-5404	283	20	dynamics	dynamic	NOUN
ejpam-5404	283	21	the	the	DET
ejpam-5404	283	22	equilibrium	equilibrium	NOUN
ejpam-5404	283	23	of	of	ADP
ejpam-5404	283	24	model	model	NOUN
ejpam-5404	283	25	(	(	PUNCT
ejpam-5404	283	26	1	1	X
ejpam-5404	283	27	)	)	PUNCT
ejpam-5404	283	28	should	should	AUX
ejpam-5404	283	29	be	be	AUX
ejpam-5404	283	30	determined	determine	VERB
ejpam-5404	283	31	first	first	ADV
ejpam-5404	283	32	to	to	PART
ejpam-5404	283	33	study	study	VERB
ejpam-5404	283	34	the	the	DET
ejpam-5404	283	35	steady	steady	ADJ
ejpam-5404	283	36	state	state	NOUN
ejpam-5404	283	37	properties	property	NOUN
ejpam-5404	283	38	.	.	PUNCT
ejpam-5404	284	1	let	let	VERB
ejpam-5404	284	2	gin	gin	VERB
ejpam-5404	284	3	−	−	PROPN
ejpam-5404	284	4	ag−	ag−	PUNCT
ejpam-5404	284	5	bgi	bgi	PROPN
ejpam-5404	284	6	=	=	SYM
ejpam-5404	284	7	0	0	PROPN
ejpam-5404	285	1	iin	iin	NOUN
ejpam-5404	285	2	+	+	CCONJ
ejpam-5404	285	3	cg−	cg−	PUNCT
ejpam-5404	285	4	di	di	NOUN
ejpam-5404	285	5	e+	e+	VERB
ejpam-5404	285	6	i	i	NOUN
ejpam-5404	285	7	=	=	NOUN
ejpam-5404	285	8	0	0	PUNCT
ejpam-5404	285	9	a	a	DET
ejpam-5404	285	10	unique	unique	ADJ
ejpam-5404	285	11	positive	positive	ADJ
ejpam-5404	285	12	equilibrium	equilibrium	NOUN
ejpam-5404	285	13	(	(	PUNCT
ejpam-5404	285	14	g∗	g∗	PROPN
ejpam-5404	285	15	,	,	PUNCT
ejpam-5404	285	16	i∗	i∗	NOUN
ejpam-5404	285	17	)	)	PUNCT
ejpam-5404	285	18	exists	exist	VERB
ejpam-5404	285	19	for	for	ADP
ejpam-5404	285	20	d	d	PROPN
ejpam-5404	285	21	>	>	X
ejpam-5404	285	22	iin	iin	PROPN
ejpam-5404	285	23	,	,	PUNCT
ejpam-5404	285	24	where	where	SCONJ
ejpam-5404	285	25	g∗	g∗	NOUN
ejpam-5404	285	26	=	=	SYM
ejpam-5404	285	27	gin	gin	NOUN
ejpam-5404	285	28	a+	a+	PRON
ejpam-5404	285	29	bi∗	bi∗	NOUN
ejpam-5404	285	30	,	,	PUNCT
ejpam-5404	285	31	i∗	i∗	NOUN
ejpam-5404	285	32	=	=	SYM
ejpam-5404	285	33	(	(	PUNCT
ejpam-5404	285	34	ad−	ad−	PROPN
ejpam-5404	285	35	cgin	cgin	VERB
ejpam-5404	285	36	−	−	PROPN
ejpam-5404	285	37	aiin	aiin	NOUN
ejpam-5404	285	38	−	−	PROPN
ejpam-5404	285	39	beiin)−	beiin)−	NOUN
ejpam-5404	285	40	√	√	NUM
ejpam-5404	285	41	∆	∆	PROPN
ejpam-5404	285	42	2b	2b	NOUN
ejpam-5404	285	43	(	(	PUNCT
ejpam-5404	285	44	iin	iin	NOUN
ejpam-5404	285	45	−	−	PROPN
ejpam-5404	285	46	d	d	PROPN
ejpam-5404	285	47	)	)	PUNCT
ejpam-5404	285	48	s.	s.	PROPN
ejpam-5404	285	49	m.	m.	PROPN
ejpam-5404	285	50	alzahrani	alzahrani	PROPN
ejpam-5404	285	51	/	/	SYM
ejpam-5404	285	52	eur	eur	PROPN
ejpam-5404	285	53	.	.	PUNCT
ejpam-5404	286	1	j.	j.	PROPN
ejpam-5404	286	2	pure	pure	PROPN
ejpam-5404	286	3	appl	appl	PROPN
ejpam-5404	286	4	.	.	PROPN
ejpam-5404	286	5	math	math	PROPN
ejpam-5404	286	6	,	,	PUNCT
ejpam-5404	286	7	18	18	NUM
ejpam-5404	286	8	(	(	PUNCT
ejpam-5404	286	9	1	1	NUM
ejpam-5404	286	10	)	)	PUNCT
ejpam-5404	286	11	(	(	PUNCT
ejpam-5404	286	12	2025	2025	NUM
ejpam-5404	286	13	)	)	PUNCT
ejpam-5404	286	14	,	,	PUNCT
ejpam-5404	286	15	5404	5404	NUM
ejpam-5404	286	16	11	11	NUM
ejpam-5404	286	17	of	of	ADP
ejpam-5404	286	18	22	22	NUM
ejpam-5404	286	19	and	and	CCONJ
ejpam-5404	286	20	∆	∆	PROPN
ejpam-5404	286	21	=	=	SYM
ejpam-5404	286	22	(	(	PUNCT
ejpam-5404	286	23	ad−	ad−	PROPN
ejpam-5404	286	24	cgin	cgin	VERB
ejpam-5404	286	25	−	−	PROPN
ejpam-5404	286	26	aiin	aiin	NOUN
ejpam-5404	286	27	−	−	PROPN
ejpam-5404	286	28	beiin	beiin	NOUN
ejpam-5404	286	29	)	)	PUNCT
ejpam-5404	286	30	2	2	NUM
ejpam-5404	286	31	−	−	NOUN
ejpam-5404	286	32	4be	4be	NOUN
ejpam-5404	286	33	(	(	PUNCT
ejpam-5404	286	34	iin	iin	NOUN
ejpam-5404	286	35	−	−	PROPN
ejpam-5404	286	36	d	d	NOUN
ejpam-5404	286	37	)	)	PUNCT
ejpam-5404	286	38	(	(	PUNCT
ejpam-5404	286	39	cgin	cgin	VERB
ejpam-5404	286	40	+	+	NUM
ejpam-5404	286	41	aiin	aiin	NOUN
ejpam-5404	286	42	)	)	PUNCT
ejpam-5404	286	43	thus	thus	ADV
ejpam-5404	286	44	,	,	PUNCT
ejpam-5404	286	45	the	the	DET
ejpam-5404	286	46	sensitivity	sensitivity	NOUN
ejpam-5404	286	47	indices	indice	VERB
ejpam-5404	286	48	of	of	ADP
ejpam-5404	286	49	(	(	PUNCT
ejpam-5404	286	50	g∗	g∗	PROPN
ejpam-5404	286	51	,	,	PUNCT
ejpam-5404	286	52	i∗	i∗	NOUN
ejpam-5404	286	53	)	)	PUNCT
ejpam-5404	286	54	to	to	ADP
ejpam-5404	286	55	parameters	parameter	NOUN
ejpam-5404	286	56	(	(	PUNCT
ejpam-5404	286	57	b	b	X
ejpam-5404	286	58	,	,	PUNCT
ejpam-5404	286	59	c	c	NOUN
ejpam-5404	286	60	,	,	PUNCT
ejpam-5404	286	61	d	d	NOUN
ejpam-5404	286	62	)	)	PUNCT
ejpam-5404	286	63	are	be	AUX
ejpam-5404	286	64	derived	derive	VERB
ejpam-5404	286	65	using	use	VERB
ejpam-5404	286	66	[	[	X
ejpam-5404	286	67	19	19	NUM
ejpam-5404	286	68	,	,	PUNCT
ejpam-5404	286	69	33	33	NUM
ejpam-5404	286	70	]	]	PUNCT
ejpam-5404	286	71	.	.	PUNCT
ejpam-5404	287	1	the	the	DET
ejpam-5404	287	2	sensitivity	sensitivity	NOUN
ejpam-5404	287	3	indices	index	NOUN
ejpam-5404	287	4	are	be	AUX
ejpam-5404	287	5	useful	useful	ADJ
ejpam-5404	287	6	in	in	ADP
ejpam-5404	287	7	calculating	calculate	VERB
ejpam-5404	287	8	the	the	DET
ejpam-5404	287	9	relative	relative	ADJ
ejpam-5404	287	10	changes	change	NOUN
ejpam-5404	287	11	in	in	ADP
ejpam-5404	287	12	a	a	DET
ejpam-5404	287	13	state	state	NOUN
ejpam-5404	287	14	variable	variable	NOUN
ejpam-5404	287	15	as	as	ADP
ejpam-5404	287	16	a	a	DET
ejpam-5404	287	17	parameter	parameter	NOUN
ejpam-5404	287	18	changes	change	NOUN
ejpam-5404	287	19	in	in	ADP
ejpam-5404	287	20	terms	term	NOUN
ejpam-5404	287	21	of	of	ADP
ejpam-5404	287	22	a	a	DET
ejpam-5404	287	23	state	state	NOUN
ejpam-5404	287	24	variable	variable	NOUN
ejpam-5404	287	25	.	.	PUNCT
ejpam-5404	288	1	these	these	DET
ejpam-5404	288	2	indices	index	NOUN
ejpam-5404	288	3	help	help	VERB
ejpam-5404	288	4	in	in	ADP
ejpam-5404	288	5	identifying	identify	VERB
ejpam-5404	288	6	which	which	PRON
ejpam-5404	288	7	parameters	parameter	NOUN
ejpam-5404	288	8	have	have	VERB
ejpam-5404	288	9	the	the	DET
ejpam-5404	288	10	most	most	ADJ
ejpam-5404	288	11	influence	influence	NOUN
ejpam-5404	288	12	on	on	ADP
ejpam-5404	288	13	the	the	DET
ejpam-5404	288	14	system	system	NOUN
ejpam-5404	288	15	,	,	PUNCT
ejpam-5404	288	16	allowing	allow	VERB
ejpam-5404	288	17	modelers	modeler	NOUN
ejpam-5404	288	18	to	to	PART
ejpam-5404	288	19	focus	focus	VERB
ejpam-5404	288	20	on	on	ADP
ejpam-5404	288	21	the	the	DET
ejpam-5404	288	22	most	most	ADV
ejpam-5404	288	23	critical	critical	ADJ
ejpam-5404	288	24	factors	factor	NOUN
ejpam-5404	288	25	.	.	PUNCT
ejpam-5404	289	1	this	this	PRON
ejpam-5404	289	2	can	can	AUX
ejpam-5404	289	3	lead	lead	VERB
ejpam-5404	289	4	to	to	ADP
ejpam-5404	289	5	more	more	ADV
ejpam-5404	289	6	accurate	accurate	ADJ
ejpam-5404	289	7	and	and	CCONJ
ejpam-5404	289	8	efficient	efficient	ADJ
ejpam-5404	289	9	model	model	NOUN
ejpam-5404	289	10	calibration	calibration	NOUN
ejpam-5404	289	11	and	and	CCONJ
ejpam-5404	289	12	validation	validation	NOUN
ejpam-5404	289	13	.	.	PUNCT
ejpam-5404	290	1	ultimately	ultimately	ADV
ejpam-5404	290	2	,	,	PUNCT
ejpam-5404	290	3	this	this	PRON
ejpam-5404	290	4	improves	improve	VERB
ejpam-5404	290	5	the	the	DET
ejpam-5404	290	6	reliability	reliability	NOUN
ejpam-5404	290	7	of	of	ADP
ejpam-5404	290	8	predictions	prediction	NOUN
ejpam-5404	290	9	made	make	VERB
ejpam-5404	290	10	by	by	ADP
ejpam-5404	290	11	the	the	DET
ejpam-5404	290	12	model	model	NOUN
ejpam-5404	290	13	.	.	PUNCT
ejpam-5404	291	1	definition	definition	NOUN
ejpam-5404	291	2	3	3	NUM
ejpam-5404	291	3	.	.	PUNCT
ejpam-5404	291	4	normized	normize	VERB
ejpam-5404	291	5	forward	forward	PROPN
ejpam-5404	291	6	sensitivity	sensitivity	NOUN
ejpam-5404	291	7	index	index	NOUN
ejpam-5404	291	8	for	for	ADP
ejpam-5404	291	9	variables	variable	NOUN
ejpam-5404	291	10	u	u	NOUN
ejpam-5404	291	11	that	that	PRON
ejpam-5404	291	12	depend	depend	VERB
ejpam-5404	291	13	on	on	ADP
ejpam-5404	291	14	parameters	parameter	NOUN
ejpam-5404	291	15	τ	τ	X
ejpam-5404	291	16	:	:	PUNCT
ejpam-5404	292	1	βu	βu	PUNCT
ejpam-5404	292	2	p	p	X
ejpam-5404	292	3	:	:	PUNCT
ejpam-5404	293	1	=	=	SYM
ejpam-5404	293	2	∂u	∂u	NUM
ejpam-5404	293	3	∂τ	∂τ	PROPN
ejpam-5404	293	4	×	×	NOUN
ejpam-5404	293	5	τ	τ	X
ejpam-5404	293	6	u	u	NOUN
ejpam-5404	293	7	.	.	PUNCT
ejpam-5404	294	1	next	next	ADV
ejpam-5404	294	2	,	,	PUNCT
ejpam-5404	294	3	the	the	DET
ejpam-5404	294	4	normalized	normalize	VERB
ejpam-5404	294	5	forward	forward	ADJ
ejpam-5404	294	6	sensitivity	sensitivity	NOUN
ejpam-5404	294	7	is	be	AUX
ejpam-5404	294	8	given	give	VERB
ejpam-5404	294	9	by	by	ADP
ejpam-5404	294	10	:	:	PUNCT
ejpam-5404	294	11	βg∗	βg∗	PROPN
ejpam-5404	294	12	b	b	PROPN
ejpam-5404	294	13	=	=	SYM
ejpam-5404	294	14	b	b	PROPN
ejpam-5404	294	15	g∗	g∗	VERB
ejpam-5404	294	16	∂g∗	∂g∗	NOUN
ejpam-5404	294	17	∂b	∂b	PROPN
ejpam-5404	294	18	=	=	PUNCT
ejpam-5404	295	1	−	−	PROPN
ejpam-5404	295	2	bdei∗	bdei∗	NOUN
ejpam-5404	295	3	∆1	∆1	PROPN
ejpam-5404	295	4	(	(	PUNCT
ejpam-5404	295	5	e+	e+	X
ejpam-5404	295	6	i∗)2	i∗)2	ADP
ejpam-5404	295	7	,	,	PUNCT
ejpam-5404	295	8	βi∗	βi∗	NOUN
ejpam-5404	295	9	b	b	X
ejpam-5404	295	10	=	=	SYM
ejpam-5404	295	11	b	b	PROPN
ejpam-5404	295	12	i∗	i∗	NOUN
ejpam-5404	295	13	∂i∗	∂i∗	NOUN
ejpam-5404	295	14	∂b	∂b	NOUN
ejpam-5404	295	15	=	=	SYM
ejpam-5404	295	16	−bcg∗	−bcg∗	NOUN
ejpam-5404	295	17	∆1	∆1	NOUN
ejpam-5404	295	18	,	,	PUNCT
ejpam-5404	295	19	βg∗	βg∗	NOUN
ejpam-5404	295	20	c	c	NOUN
ejpam-5404	295	21	=	=	PUNCT
ejpam-5404	295	22	c	c	AUX
ejpam-5404	295	23	g∗	g∗	VERB
ejpam-5404	295	24	∂g∗	∂g∗	NOUN
ejpam-5404	295	25	∂c	∂c	NOUN
ejpam-5404	296	1	=	=	SYM
ejpam-5404	296	2	−bcg∗	−bcg∗	NOUN
ejpam-5404	296	3	∆1	∆1	NOUN
ejpam-5404	296	4	,	,	PUNCT
ejpam-5404	296	5	βi∗	βi∗	NOUN
ejpam-5404	296	6	c	c	NOUN
ejpam-5404	296	7	=	=	SYM
ejpam-5404	296	8	c	c	NOUN
ejpam-5404	296	9	i∗	i∗	NOUN
ejpam-5404	296	10	∂i∗	∂i∗	NOUN
ejpam-5404	296	11	∂c	∂c	PUNCT
ejpam-5404	297	1	=	=	SYM
ejpam-5404	297	2	c	c	X
ejpam-5404	297	3	(	(	PUNCT
ejpam-5404	297	4	a+	a+	PUNCT
ejpam-5404	297	5	bi∗)g∗	bi∗)g∗	PROPN
ejpam-5404	297	6	∆1i∗	∆1i∗	PROPN
ejpam-5404	297	7	,	,	PUNCT
ejpam-5404	297	8	βg∗	βg∗	NOUN
ejpam-5404	297	9	d	d	X
ejpam-5404	297	10	=	=	SYM
ejpam-5404	297	11	d	d	AUX
ejpam-5404	297	12	g∗	g∗	VERB
ejpam-5404	297	13	∂g∗	∂g∗	NOUN
ejpam-5404	297	14	∂d	∂d	PROPN
ejpam-5404	297	15	=	=	NOUN
ejpam-5404	297	16	bdi∗	bdi∗	PROPN
ejpam-5404	297	17	∆1	∆1	NUM
ejpam-5404	297	18	(	(	PUNCT
ejpam-5404	297	19	e+	e+	VERB
ejpam-5404	297	20	i∗	i∗	NOUN
ejpam-5404	297	21	)	)	PUNCT
ejpam-5404	297	22	,	,	PUNCT
ejpam-5404	297	23	βi∗	βi∗	NOUN
ejpam-5404	298	1	d	d	NOUN
ejpam-5404	298	2	=	=	SYM
ejpam-5404	298	3	d	d	NOUN
ejpam-5404	298	4	i∗	i∗	NOUN
ejpam-5404	298	5	∂i∗	∂i∗	NOUN
ejpam-5404	299	1	∂d	∂d	PROPN
ejpam-5404	299	2	=	=	PUNCT
ejpam-5404	300	1	−	−	PROPN
ejpam-5404	300	2	d	d	NOUN
ejpam-5404	300	3	(	(	PUNCT
ejpam-5404	300	4	a+	a+	X
ejpam-5404	300	5	bi∗	bi∗	NOUN
ejpam-5404	300	6	)	)	PUNCT
ejpam-5404	300	7	∆1	∆1	PUNCT
ejpam-5404	300	8	(	(	PUNCT
ejpam-5404	300	9	e+	e+	VERB
ejpam-5404	300	10	i∗	i∗	NOUN
ejpam-5404	300	11	)	)	PUNCT
ejpam-5404	300	12	,	,	PUNCT
ejpam-5404	300	13	with	with	ADP
ejpam-5404	300	14	∆1	∆1	PROPN
ejpam-5404	300	15	=	=	SYM
ejpam-5404	300	16	bcg∗	bcg∗	NOUN
ejpam-5404	300	17	+	+	CCONJ
ejpam-5404	300	18	de	de	X
ejpam-5404	300	19	(	(	PUNCT
ejpam-5404	300	20	e+	e+	X
ejpam-5404	300	21	i∗)2	i∗)2	X
ejpam-5404	300	22	(	(	PUNCT
ejpam-5404	300	23	a+	a+	X
ejpam-5404	300	24	bi∗	bi∗	NOUN
ejpam-5404	300	25	)	)	PUNCT
ejpam-5404	300	26	>	>	X
ejpam-5404	300	27	0	0	X
ejpam-5404	300	28	.	.	PUNCT
ejpam-5404	301	1	it	it	PRON
ejpam-5404	301	2	is	be	AUX
ejpam-5404	301	3	easy	easy	ADJ
ejpam-5404	301	4	to	to	PART
ejpam-5404	301	5	calculate	calculate	VERB
ejpam-5404	301	6	table	table	NOUN
ejpam-5404	301	7	1	1	NUM
ejpam-5404	301	8	:	:	PUNCT
ejpam-5404	301	9	normized	normize	VERB
ejpam-5404	301	10	forward	forward	ADJ
ejpam-5404	301	11	sensitivity	sensitivity	NOUN
ejpam-5404	301	12	indexes	index	NOUN
ejpam-5404	301	13	for	for	ADP
ejpam-5404	301	14	g	g	PROPN
ejpam-5404	301	15	and	and	CCONJ
ejpam-5404	301	16	i	i	PRON
ejpam-5404	301	17	for	for	ADP
ejpam-5404	301	18	parameters	parameter	NOUN
ejpam-5404	301	19	b	b	PROPN
ejpam-5404	301	20	,	,	PUNCT
ejpam-5404	301	21	c	c	NOUN
ejpam-5404	301	22	,	,	PUNCT
ejpam-5404	301	23	and	and	CCONJ
ejpam-5404	302	1	d	d	ADP
ejpam-5404	302	2	iin	iin	NOUN
ejpam-5404	302	3	βg∗	βg∗	PROPN
ejpam-5404	302	4	b	b	PROPN
ejpam-5404	302	5	βi∗	βi∗	NOUN
ejpam-5404	302	6	b	b	X
ejpam-5404	302	7	βg∗	βg∗	NOUN
ejpam-5404	302	8	c	c	NOUN
ejpam-5404	302	9	βi∗	βi∗	NOUN
ejpam-5404	302	10	c	c	NOUN
ejpam-5404	302	11	βg∗	βg∗	NOUN
ejpam-5404	302	12	d	d	X
ejpam-5404	302	13	βi∗	βi∗	NOUN
ejpam-5404	302	14	d	d	NOUN
ejpam-5404	302	15	0	0	NUM
ejpam-5404	302	16	-0.4919	-0.4919	NOUN
ejpam-5404	302	17	-0.5052	-0.5052	X
ejpam-5404	302	18	-0.5052	-0.5052	NOUN
ejpam-5404	303	1	0.5081	0.5081	NUM
ejpam-5404	303	2	0.5017	0.5017	NUM
ejpam-5404	303	3	-0.5046	-0.5046	NOUN
ejpam-5404	303	4	5	5	NUM
ejpam-5404	303	5	-0.5336	-0.5336	NOUN
ejpam-5404	303	6	-0.4635	-0.4635	PROPN
ejpam-5404	303	7	-0.4635	-0.4635	PROPN
ejpam-5404	304	1	0.4660	0.4660	NUM
ejpam-5404	305	1	0.5452	0.5452	NUM
ejpam-5404	305	2	-0.5481	-0.5481	NOUN
ejpam-5404	306	1	10	10	NUM
ejpam-5404	306	2	-0.5746	-0.5746	ADV
ejpam-5404	306	3	-0.4226	-0.4226	ADJ
ejpam-5404	306	4	-0.4226	-0.4226	VERB
ejpam-5404	306	5	0.4247	0.4247	NUM
ejpam-5404	306	6	0.5881	0.5881	NUM
ejpam-5404	306	7	-0.5910	-0.5910	NOUN
ejpam-5404	306	8	20	20	NUM
ejpam-5404	306	9	-0.6513	-0.6513	NOUN
ejpam-5404	306	10	-0.3460	-0.3460	VERB
ejpam-5404	306	11	-0.3460	-0.3460	VERB
ejpam-5404	307	1	0.3475	0.3475	NUM
ejpam-5404	307	2	0.6694	0.6694	NUM
ejpam-5404	307	3	-0.6721∣∣∣βg∗	-0.6721∣∣∣βg∗	NOUN
ejpam-5404	307	4	c	c	NOUN
ejpam-5404	307	5	∣∣∣	∣∣∣	NOUN
ejpam-5404	307	6	=	=	PUNCT
ejpam-5404	307	7	∣∣∣βi∗	∣∣∣βi∗	NOUN
ejpam-5404	307	8	b	b	NOUN
ejpam-5404	307	9	∣∣∣	∣∣∣	NOUN
ejpam-5404	307	10	<	<	X
ejpam-5404	307	11	1,∣∣∣βg∗	1,∣∣∣βg∗	NUM
ejpam-5404	307	12	b	b	NOUN
ejpam-5404	307	13	∣∣∣	∣∣∣	NOUN
ejpam-5404	307	14	<	<	X
ejpam-5404	307	15	∣∣∣βg∗	∣∣∣βg∗	PROPN
ejpam-5404	307	16	d	d	NOUN
ejpam-5404	307	17	∣∣∣	∣∣∣	NOUN
ejpam-5404	307	18	<	<	X
ejpam-5404	307	19	∣∣∣βi∗	∣∣∣βi∗	NOUN
ejpam-5404	307	20	d	d	X
ejpam-5404	307	21	∣∣∣	∣∣∣	ADJ
ejpam-5404	307	22	,	,	PUNCT
ejpam-5404	307	23	∣∣∣βg∗	∣∣∣βg∗	PROPN
ejpam-5404	307	24	c	c	NOUN
ejpam-5404	307	25	∣∣∣	∣∣∣	NOUN
ejpam-5404	307	26	=	=	VERB
ejpam-5404	307	27	∣∣∣βi∗	∣∣∣βi∗	NOUN
ejpam-5404	307	28	b	b	NOUN
ejpam-5404	307	29	∣∣∣	∣∣∣	NOUN
ejpam-5404	307	30	<	<	X
ejpam-5404	307	31	∣∣∣βi∗	∣∣∣βi∗	NOUN
ejpam-5404	307	32	c	c	NOUN
ejpam-5404	307	33	∣∣∣	∣∣∣	NOUN
ejpam-5404	307	34	.	.	PUNCT
ejpam-5404	308	1	based	base	VERB
ejpam-5404	308	2	on	on	ADP
ejpam-5404	308	3	the	the	DET
ejpam-5404	308	4	results	result	NOUN
ejpam-5404	308	5	,	,	PUNCT
ejpam-5404	308	6	c(b	c(b	PROPN
ejpam-5404	308	7	)	)	PUNCT
ejpam-5404	308	8	increases	increase	NOUN
ejpam-5404	308	9	will	will	AUX
ejpam-5404	308	10	have	have	VERB
ejpam-5404	308	11	a	a	DET
ejpam-5404	308	12	smaller	small	ADJ
ejpam-5404	308	13	effect	effect	NOUN
ejpam-5404	308	14	on	on	ADP
ejpam-5404	308	15	(	(	PUNCT
ejpam-5404	308	16	g∗	g∗	PROPN
ejpam-5404	308	17	,	,	PUNCT
ejpam-5404	308	18	i∗	i∗	NOUN
ejpam-5404	308	19	)	)	PUNCT
ejpam-5404	308	20	.	.	PUNCT
ejpam-5404	309	1	it	it	PRON
ejpam-5404	309	2	is	be	AUX
ejpam-5404	309	3	more	more	ADV
ejpam-5404	309	4	sensitive	sensitive	ADJ
ejpam-5404	309	5	to	to	ADP
ejpam-5404	309	6	d	d	NOUN
ejpam-5404	309	7	than	than	ADP
ejpam-5404	309	8	to	to	ADP
ejpam-5404	309	9	b	b	NUM
ejpam-5404	309	10	,	,	PUNCT
ejpam-5404	309	11	while	while	SCONJ
ejpam-5404	309	12	i∗	i∗	NOUN
ejpam-5404	309	13	is	be	AUX
ejpam-5404	309	14	more	more	ADV
ejpam-5404	309	15	sensitive	sensitive	ADJ
ejpam-5404	309	16	to	to	ADP
ejpam-5404	309	17	c.	c.	NOUN
ejpam-5404	309	18	these	these	DET
ejpam-5404	309	19	absolute	absolute	ADJ
ejpam-5404	309	20	values	value	NOUN
ejpam-5404	309	21	indicate	indicate	VERB
ejpam-5404	309	22	that	that	SCONJ
ejpam-5404	309	23	changing	change	VERB
ejpam-5404	309	24	i∗	i∗	NOUN
ejpam-5404	309	25	is	be	AUX
ejpam-5404	309	26	more	more	ADV
ejpam-5404	309	27	significant	significant	ADJ
ejpam-5404	309	28	than	than	ADP
ejpam-5404	309	29	changing	change	VERB
ejpam-5404	309	30	g∗	g∗	NOUN
ejpam-5404	309	31	with	with	ADP
ejpam-5404	309	32	changes	change	NOUN
ejpam-5404	309	33	in	in	ADP
ejpam-5404	309	34	the	the	DET
ejpam-5404	309	35	same	same	ADJ
ejpam-5404	309	36	proportion	proportion	NOUN
ejpam-5404	309	37	of	of	ADP
ejpam-5404	309	38	d	d	PROPN
ejpam-5404	309	39	and	and	CCONJ
ejpam-5404	309	40	c.	c.	PROPN
ejpam-5404	309	41	s.	s.	PROPN
ejpam-5404	309	42	m.	m.	PROPN
ejpam-5404	309	43	alzahrani	alzahrani	PROPN
ejpam-5404	309	44	/	/	SYM
ejpam-5404	309	45	eur	eur	PROPN
ejpam-5404	309	46	.	.	PUNCT
ejpam-5404	310	1	j.	j.	PROPN
ejpam-5404	310	2	pure	pure	PROPN
ejpam-5404	310	3	appl	appl	PROPN
ejpam-5404	310	4	.	.	PROPN
ejpam-5404	310	5	math	math	PROPN
ejpam-5404	310	6	,	,	PUNCT
ejpam-5404	310	7	18	18	NUM
ejpam-5404	310	8	(	(	PUNCT
ejpam-5404	310	9	1	1	NUM
ejpam-5404	310	10	)	)	PUNCT
ejpam-5404	310	11	(	(	PUNCT
ejpam-5404	310	12	2025	2025	NUM
ejpam-5404	310	13	)	)	PUNCT
ejpam-5404	310	14	,	,	PUNCT
ejpam-5404	310	15	5404	5404	NUM
ejpam-5404	310	16	12	12	NUM
ejpam-5404	310	17	of	of	ADP
ejpam-5404	310	18	22	22	NUM
ejpam-5404	310	19	6	6	NUM
ejpam-5404	310	20	.	.	PUNCT
ejpam-5404	311	1	comparative	comparative	ADJ
ejpam-5404	311	2	analysis	analysis	NOUN
ejpam-5404	311	3	using	use	VERB
ejpam-5404	311	4	root	root	NOUN
ejpam-5404	311	5	mean	mean	ADJ
ejpam-5404	311	6	square	square	ADJ
ejpam-5404	311	7	error	error	NOUN
ejpam-5404	311	8	(	(	PUNCT
ejpam-5404	311	9	rmse	rmse	NOUN
ejpam-5404	311	10	)	)	PUNCT
ejpam-5404	311	11	to	to	PART
ejpam-5404	311	12	compare	compare	VERB
ejpam-5404	311	13	the	the	DET
ejpam-5404	311	14	stochastic	stochastic	ADJ
ejpam-5404	311	15	and	and	CCONJ
ejpam-5404	311	16	deterministic	deterministic	ADJ
ejpam-5404	311	17	glucose	glucose	NOUN
ejpam-5404	311	18	-	-	PUNCT
ejpam-5404	311	19	insulin	insulin	NOUN
ejpam-5404	311	20	models	model	NOUN
ejpam-5404	311	21	,	,	PUNCT
ejpam-5404	311	22	we	we	PRON
ejpam-5404	311	23	compute	compute	VERB
ejpam-5404	311	24	the	the	DET
ejpam-5404	311	25	root	root	NOUN
ejpam-5404	311	26	mean	mean	VERB
ejpam-5404	311	27	square	square	ADJ
ejpam-5404	311	28	error	error	NOUN
ejpam-5404	311	29	(	(	PUNCT
ejpam-5404	311	30	rmse	rmse	NOUN
ejpam-5404	311	31	)	)	PUNCT
ejpam-5404	311	32	between	between	ADP
ejpam-5404	311	33	their	their	PRON
ejpam-5404	311	34	predictions	prediction	NOUN
ejpam-5404	311	35	.	.	PUNCT
ejpam-5404	312	1	rmse	rmse	PROPN
ejpam-5404	312	2	provides	provide	VERB
ejpam-5404	312	3	a	a	DET
ejpam-5404	312	4	measure	measure	NOUN
ejpam-5404	312	5	of	of	ADP
ejpam-5404	312	6	the	the	DET
ejpam-5404	312	7	average	average	ADJ
ejpam-5404	312	8	magnitude	magnitude	NOUN
ejpam-5404	312	9	of	of	ADP
ejpam-5404	312	10	error	error	NOUN
ejpam-5404	312	11	,	,	PUNCT
ejpam-5404	312	12	giving	give	VERB
ejpam-5404	312	13	insight	insight	NOUN
ejpam-5404	312	14	into	into	ADP
ejpam-5404	312	15	how	how	SCONJ
ejpam-5404	312	16	closely	closely	ADV
ejpam-5404	312	17	the	the	DET
ejpam-5404	312	18	deterministic	deterministic	ADJ
ejpam-5404	312	19	model	model	NOUN
ejpam-5404	312	20	captures	capture	VERB
ejpam-5404	312	21	the	the	DET
ejpam-5404	312	22	behavior	behavior	NOUN
ejpam-5404	312	23	of	of	ADP
ejpam-5404	312	24	the	the	DET
ejpam-5404	312	25	stochastic	stochastic	ADJ
ejpam-5404	312	26	model	model	NOUN
ejpam-5404	312	27	.	.	PUNCT
ejpam-5404	313	1	let	let	VERB
ejpam-5404	313	2	:	:	PUNCT
ejpam-5404	313	3	•	•	NUM
ejpam-5404	313	4	n	n	X
ejpam-5404	313	5	:	:	PUNCT
ejpam-5404	313	6	total	total	ADJ
ejpam-5404	313	7	number	number	NOUN
ejpam-5404	313	8	of	of	ADP
ejpam-5404	313	9	time	time	NOUN
ejpam-5404	313	10	steps	step	NOUN
ejpam-5404	313	11	.	.	PUNCT
ejpam-5404	314	1	•	•	NUM
ejpam-5404	315	1	m	m	VERB
ejpam-5404	315	2	:	:	PUNCT
ejpam-5404	315	3	number	number	NOUN
ejpam-5404	315	4	of	of	ADP
ejpam-5404	315	5	sample	sample	NOUN
ejpam-5404	315	6	paths	path	NOUN
ejpam-5404	315	7	generated	generate	VERB
ejpam-5404	315	8	by	by	ADP
ejpam-5404	315	9	the	the	DET
ejpam-5404	315	10	stochastic	stochastic	ADJ
ejpam-5404	315	11	model	model	NOUN
ejpam-5404	315	12	.	.	PUNCT
ejpam-5404	316	1	•	•	NUM
ejpam-5404	316	2	g	g	PROPN
ejpam-5404	316	3	(	(	PUNCT
ejpam-5404	316	4	j	j	PROPN
ejpam-5404	316	5	)	)	PUNCT
ejpam-5404	316	6	s	s	PART
ejpam-5404	316	7	(	(	PUNCT
ejpam-5404	316	8	t	t	PROPN
ejpam-5404	316	9	):	):	PUNCT
ejpam-5404	316	10	glucose	glucose	NOUN
ejpam-5404	316	11	value	value	NOUN
ejpam-5404	316	12	at	at	ADP
ejpam-5404	316	13	time	time	NOUN
ejpam-5404	316	14	t	t	PROPN
ejpam-5404	316	15	in	in	ADP
ejpam-5404	316	16	the	the	DET
ejpam-5404	316	17	j	j	PROPN
ejpam-5404	316	18	-	-	PUNCT
ejpam-5404	316	19	th	th	VERB
ejpam-5404	316	20	sample	sample	NOUN
ejpam-5404	316	21	path	path	NOUN
ejpam-5404	316	22	from	from	ADP
ejpam-5404	316	23	the	the	DET
ejpam-5404	316	24	stochastic	stochastic	ADJ
ejpam-5404	316	25	model	model	NOUN
ejpam-5404	316	26	.	.	PUNCT
ejpam-5404	317	1	•	•	NUM
ejpam-5404	317	2	gd(t	gd(t	X
ejpam-5404	317	3	):	):	PUNCT
ejpam-5404	317	4	glucose	glucose	NOUN
ejpam-5404	317	5	value	value	NOUN
ejpam-5404	317	6	at	at	ADP
ejpam-5404	317	7	time	time	NOUN
ejpam-5404	317	8	t	t	NOUN
ejpam-5404	317	9	from	from	ADP
ejpam-5404	317	10	the	the	DET
ejpam-5404	317	11	deterministic	deterministic	ADJ
ejpam-5404	317	12	model	model	NOUN
ejpam-5404	317	13	.	.	PUNCT
ejpam-5404	318	1	•	•	NUM
ejpam-5404	319	1	i	i	PRON
ejpam-5404	319	2	(	(	PUNCT
ejpam-5404	319	3	j	j	PROPN
ejpam-5404	319	4	)	)	PUNCT
ejpam-5404	319	5	s	s	PART
ejpam-5404	319	6	(	(	PUNCT
ejpam-5404	319	7	t	t	NOUN
ejpam-5404	319	8	):	):	PUNCT
ejpam-5404	319	9	insulin	insulin	NOUN
ejpam-5404	319	10	value	value	NOUN
ejpam-5404	319	11	at	at	ADP
ejpam-5404	319	12	time	time	NOUN
ejpam-5404	319	13	t	t	PROPN
ejpam-5404	319	14	in	in	ADP
ejpam-5404	319	15	the	the	DET
ejpam-5404	319	16	j	j	PROPN
ejpam-5404	319	17	-	-	PUNCT
ejpam-5404	319	18	th	th	VERB
ejpam-5404	319	19	sample	sample	NOUN
ejpam-5404	319	20	path	path	NOUN
ejpam-5404	319	21	from	from	ADP
ejpam-5404	319	22	the	the	DET
ejpam-5404	319	23	stochastic	stochastic	ADJ
ejpam-5404	319	24	model	model	NOUN
ejpam-5404	319	25	.	.	PUNCT
ejpam-5404	320	1	•	•	NUM
ejpam-5404	320	2	id(t	id(t	NOUN
ejpam-5404	320	3	):	):	PUNCT
ejpam-5404	320	4	insulin	insulin	NOUN
ejpam-5404	320	5	value	value	NOUN
ejpam-5404	320	6	at	at	ADP
ejpam-5404	320	7	time	time	NOUN
ejpam-5404	320	8	t	t	NOUN
ejpam-5404	320	9	from	from	ADP
ejpam-5404	320	10	the	the	DET
ejpam-5404	320	11	deterministic	deterministic	ADJ
ejpam-5404	320	12	model	model	NOUN
ejpam-5404	320	13	.	.	PUNCT
ejpam-5404	321	1	the	the	DET
ejpam-5404	321	2	goal	goal	NOUN
ejpam-5404	321	3	is	be	AUX
ejpam-5404	321	4	to	to	PART
ejpam-5404	321	5	calculate	calculate	VERB
ejpam-5404	321	6	the	the	DET
ejpam-5404	321	7	rmse	rmse	NOUN
ejpam-5404	321	8	for	for	ADP
ejpam-5404	321	9	both	both	DET
ejpam-5404	321	10	glucose	glucose	NOUN
ejpam-5404	321	11	and	and	CCONJ
ejpam-5404	321	12	insulin	insulin	NOUN
ejpam-5404	321	13	between	between	ADP
ejpam-5404	321	14	the	the	DET
ejpam-5404	321	15	stochastic	stochastic	ADJ
ejpam-5404	321	16	and	and	CCONJ
ejpam-5404	321	17	deterministic	deterministic	ADJ
ejpam-5404	321	18	models	model	NOUN
ejpam-5404	321	19	across	across	ADP
ejpam-5404	321	20	all	all	DET
ejpam-5404	321	21	sample	sample	NOUN
ejpam-5404	321	22	paths	path	NOUN
ejpam-5404	321	23	and	and	CCONJ
ejpam-5404	321	24	time	time	NOUN
ejpam-5404	321	25	steps	step	NOUN
ejpam-5404	321	26	.	.	PUNCT
ejpam-5404	322	1	for	for	ADP
ejpam-5404	322	2	each	each	DET
ejpam-5404	322	3	sample	sample	NOUN
ejpam-5404	322	4	path	path	NOUN
ejpam-5404	322	5	j	j	PROPN
ejpam-5404	322	6	in	in	ADP
ejpam-5404	322	7	the	the	DET
ejpam-5404	322	8	stochastic	stochastic	ADJ
ejpam-5404	322	9	model	model	NOUN
ejpam-5404	322	10	,	,	PUNCT
ejpam-5404	322	11	we	we	PRON
ejpam-5404	322	12	calculate	calculate	VERB
ejpam-5404	322	13	the	the	DET
ejpam-5404	322	14	rmse	rmse	NOUN
ejpam-5404	322	15	for	for	ADP
ejpam-5404	322	16	glucose	glucose	NOUN
ejpam-5404	322	17	g	g	NOUN
ejpam-5404	322	18	and	and	CCONJ
ejpam-5404	322	19	insulin	insulin	NOUN
ejpam-5404	322	20	i	i	PRON
ejpam-5404	322	21	over	over	ADP
ejpam-5404	322	22	n	n	CCONJ
ejpam-5404	322	23	time	time	NOUN
ejpam-5404	322	24	steps	step	NOUN
ejpam-5404	322	25	.	.	PUNCT
ejpam-5404	323	1	for	for	ADP
ejpam-5404	323	2	glucose	glucose	NOUN
ejpam-5404	323	3	g	g	NOUN
ejpam-5404	323	4	:	:	PUNCT
ejpam-5404	323	5	rmsegj	rmsegj	NOUN
ejpam-5404	323	6	=	=	PUNCT
ejpam-5404	323	7	√√√√	√√√√	PRON
ejpam-5404	323	8	1	1	NUM
ejpam-5404	323	9	n	n	NUM
ejpam-5404	323	10	n∑	n∑	NOUN
ejpam-5404	323	11	t=1	t=1	PROPN
ejpam-5404	323	12	(	(	PUNCT
ejpam-5404	323	13	g	g	PROPN
ejpam-5404	323	14	(	(	PUNCT
ejpam-5404	323	15	j	j	PROPN
ejpam-5404	323	16	)	)	PUNCT
ejpam-5404	323	17	s	s	PART
ejpam-5404	323	18	(	(	PUNCT
ejpam-5404	323	19	t)−gd(t	t)−gd(t	NUM
ejpam-5404	323	20	)	)	PUNCT
ejpam-5404	323	21	)	)	PUNCT
ejpam-5404	324	1	2	2	X
ejpam-5404	324	2	.	.	PUNCT
ejpam-5404	325	1	for	for	ADP
ejpam-5404	325	2	insulin	insulin	NOUN
ejpam-5404	325	3	i	i	NOUN
ejpam-5404	325	4	:	:	PUNCT
ejpam-5404	325	5	rmseij	rmseij	NOUN
ejpam-5404	325	6	=	=	PUNCT
ejpam-5404	325	7	√√√√	√√√√	ADP
ejpam-5404	325	8	1	1	NUM
ejpam-5404	325	9	n	n	NUM
ejpam-5404	325	10	n∑	n∑	NOUN
ejpam-5404	325	11	t=1	t=1	PROPN
ejpam-5404	325	12	(	(	PUNCT
ejpam-5404	325	13	i	i	PRON
ejpam-5404	325	14	(	(	PUNCT
ejpam-5404	325	15	j	j	PROPN
ejpam-5404	325	16	)	)	PUNCT
ejpam-5404	325	17	s	s	PART
ejpam-5404	325	18	(	(	PUNCT
ejpam-5404	325	19	t)−	t)−	PROPN
ejpam-5404	325	20	id(t	id(t	NOUN
ejpam-5404	325	21	)	)	PUNCT
ejpam-5404	325	22	)	)	PUNCT
ejpam-5404	325	23	2	2	X
ejpam-5404	325	24	.	.	PUNCT
ejpam-5404	326	1	to	to	PART
ejpam-5404	326	2	compute	compute	VERB
ejpam-5404	326	3	these	these	PRON
ejpam-5404	326	4	:	:	PUNCT
ejpam-5404	326	5	•	•	NUM
ejpam-5404	326	6	calculate	calculate	VERB
ejpam-5404	326	7	the	the	DET
ejpam-5404	326	8	squared	squared	ADJ
ejpam-5404	326	9	differences	difference	NOUN
ejpam-5404	326	10	(	(	PUNCT
ejpam-5404	326	11	g	g	PROPN
ejpam-5404	326	12	(	(	PUNCT
ejpam-5404	326	13	j	j	PROPN
ejpam-5404	326	14	)	)	PUNCT
ejpam-5404	326	15	s	s	PART
ejpam-5404	326	16	(	(	PUNCT
ejpam-5404	326	17	t)−gd(t	t)−gd(t	NUM
ejpam-5404	326	18	)	)	PUNCT
ejpam-5404	326	19	)	)	PUNCT
ejpam-5404	326	20	2	2	NUM
ejpam-5404	327	1	and	and	CCONJ
ejpam-5404	327	2	(	(	PUNCT
ejpam-5404	327	3	i	i	PROPN
ejpam-5404	327	4	(	(	PUNCT
ejpam-5404	327	5	j	j	PROPN
ejpam-5404	327	6	)	)	PUNCT
ejpam-5404	327	7	s	s	PART
ejpam-5404	327	8	(	(	PUNCT
ejpam-5404	327	9	t)−	t)−	PROPN
ejpam-5404	327	10	id(t	id(t	NOUN
ejpam-5404	327	11	)	)	PUNCT
ejpam-5404	327	12	)	)	PUNCT
ejpam-5404	327	13	2	2	NUM
ejpam-5404	327	14	for	for	ADP
ejpam-5404	327	15	each	each	DET
ejpam-5404	327	16	time	time	NOUN
ejpam-5404	327	17	step	step	NOUN
ejpam-5404	327	18	t	t	PROPN
ejpam-5404	327	19	=	=	SYM
ejpam-5404	327	20	1	1	NUM
ejpam-5404	327	21	,	,	PUNCT
ejpam-5404	327	22	2	2	NUM
ejpam-5404	327	23	,	,	PUNCT
ejpam-5404	327	24	.	.	PUNCT
ejpam-5404	327	25	.	.	PUNCT
ejpam-5404	327	26	.	.	PUNCT
ejpam-5404	327	27	,	,	PUNCT
ejpam-5404	327	28	n	n	X
ejpam-5404	327	29	.	.	PUNCT
ejpam-5404	327	30	•	•	NOUN
ejpam-5404	327	31	sum	sum	VERB
ejpam-5404	327	32	these	these	DET
ejpam-5404	327	33	squared	square	VERB
ejpam-5404	327	34	differences	difference	NOUN
ejpam-5404	327	35	across	across	ADP
ejpam-5404	327	36	all	all	DET
ejpam-5404	327	37	time	time	NOUN
ejpam-5404	327	38	steps	step	NOUN
ejpam-5404	327	39	and	and	CCONJ
ejpam-5404	327	40	divide	divide	NOUN
ejpam-5404	327	41	by	by	ADP
ejpam-5404	327	42	n	n	PROPN
ejpam-5404	327	43	.	.	PUNCT
ejpam-5404	327	44	•	•	ADV
ejpam-5404	327	45	take	take	VERB
ejpam-5404	327	46	the	the	DET
ejpam-5404	327	47	square	square	ADJ
ejpam-5404	327	48	root	root	NOUN
ejpam-5404	327	49	of	of	ADP
ejpam-5404	327	50	the	the	DET
ejpam-5404	327	51	resulting	result	VERB
ejpam-5404	327	52	value	value	NOUN
ejpam-5404	327	53	to	to	PART
ejpam-5404	327	54	obtain	obtain	VERB
ejpam-5404	327	55	rmsegj	rmsegj	NOUN
ejpam-5404	327	56	and	and	CCONJ
ejpam-5404	327	57	rmseij	rmseij	NOUN
ejpam-5404	327	58	.	.	PUNCT
ejpam-5404	328	1	to	to	PART
ejpam-5404	328	2	get	get	VERB
ejpam-5404	328	3	the	the	DET
ejpam-5404	328	4	average	average	ADJ
ejpam-5404	328	5	rmse	rmse	NOUN
ejpam-5404	328	6	values	value	NOUN
ejpam-5404	328	7	across	across	ADP
ejpam-5404	328	8	all	all	DET
ejpam-5404	328	9	m	m	NOUN
ejpam-5404	328	10	sample	sample	NOUN
ejpam-5404	328	11	paths	path	NOUN
ejpam-5404	328	12	,	,	PUNCT
ejpam-5404	328	13	use	use	VERB
ejpam-5404	328	14	:	:	PUNCT
ejpam-5404	328	15	for	for	ADP
ejpam-5404	328	16	glucose	glucose	NOUN
ejpam-5404	328	17	g	g	NOUN
ejpam-5404	328	18	:	:	PUNCT
ejpam-5404	328	19	rmseg	rmseg	PROPN
ejpam-5404	328	20	=	=	SYM
ejpam-5404	328	21	1	1	NUM
ejpam-5404	328	22	m	m	NOUN
ejpam-5404	328	23	m∑	m∑	ADV
ejpam-5404	328	24	j=1	j=1	ADJ
ejpam-5404	328	25	rmsegj	rmsegj	PROPN
ejpam-5404	328	26	.	.	PUNCT
ejpam-5404	329	1	s.	s.	PROPN
ejpam-5404	329	2	m.	m.	PROPN
ejpam-5404	329	3	alzahrani	alzahrani	PROPN
ejpam-5404	329	4	/	/	SYM
ejpam-5404	329	5	eur	eur	PROPN
ejpam-5404	329	6	.	.	PUNCT
ejpam-5404	330	1	j.	j.	PROPN
ejpam-5404	330	2	pure	pure	PROPN
ejpam-5404	330	3	appl	appl	PROPN
ejpam-5404	330	4	.	.	PROPN
ejpam-5404	330	5	math	math	PROPN
ejpam-5404	330	6	,	,	PUNCT
ejpam-5404	330	7	18	18	NUM
ejpam-5404	330	8	(	(	PUNCT
ejpam-5404	330	9	1	1	NUM
ejpam-5404	330	10	)	)	PUNCT
ejpam-5404	330	11	(	(	PUNCT
ejpam-5404	330	12	2025	2025	NUM
ejpam-5404	330	13	)	)	PUNCT
ejpam-5404	330	14	,	,	PUNCT
ejpam-5404	330	15	5404	5404	NUM
ejpam-5404	330	16	13	13	NUM
ejpam-5404	330	17	of	of	ADP
ejpam-5404	330	18	22	22	NUM
ejpam-5404	330	19	for	for	ADP
ejpam-5404	330	20	insulin	insulin	NOUN
ejpam-5404	330	21	i	i	NOUN
ejpam-5404	330	22	:	:	PUNCT
ejpam-5404	330	23	rmsei	rmsei	ADJ
ejpam-5404	330	24	=	=	SYM
ejpam-5404	330	25	1	1	NUM
ejpam-5404	330	26	m	m	NOUN
ejpam-5404	330	27	m∑	m∑	ADV
ejpam-5404	330	28	j=1	j=1	PROPN
ejpam-5404	330	29	rmseij	rmseij	PROPN
ejpam-5404	330	30	.	.	PUNCT
ejpam-5404	331	1	this	this	DET
ejpam-5404	331	2	step	step	NOUN
ejpam-5404	331	3	provides	provide	VERB
ejpam-5404	331	4	an	an	DET
ejpam-5404	331	5	overall	overall	ADJ
ejpam-5404	331	6	measure	measure	NOUN
ejpam-5404	331	7	of	of	ADP
ejpam-5404	331	8	how	how	SCONJ
ejpam-5404	331	9	closely	closely	ADV
ejpam-5404	331	10	the	the	DET
ejpam-5404	331	11	deterministic	deterministic	ADJ
ejpam-5404	331	12	model	model	NOUN
ejpam-5404	331	13	approximates	approximate	VERB
ejpam-5404	331	14	the	the	DET
ejpam-5404	331	15	central	central	ADJ
ejpam-5404	331	16	behavior	behavior	NOUN
ejpam-5404	331	17	of	of	ADP
ejpam-5404	331	18	the	the	DET
ejpam-5404	331	19	stochastic	stochastic	ADJ
ejpam-5404	331	20	model	model	NOUN
ejpam-5404	331	21	across	across	ADP
ejpam-5404	331	22	all	all	DET
ejpam-5404	331	23	simulations	simulation	NOUN
ejpam-5404	331	24	.	.	PUNCT
ejpam-5404	332	1	we	we	PRON
ejpam-5404	332	2	can	can	AUX
ejpam-5404	332	3	also	also	ADV
ejpam-5404	332	4	calculate	calculate	VERB
ejpam-5404	332	5	the	the	DET
ejpam-5404	332	6	rmse	rmse	NOUN
ejpam-5404	332	7	at	at	ADP
ejpam-5404	332	8	each	each	DET
ejpam-5404	332	9	individual	individual	ADJ
ejpam-5404	332	10	time	time	NOUN
ejpam-5404	332	11	step	step	NOUN
ejpam-5404	332	12	to	to	PART
ejpam-5404	332	13	observe	observe	VERB
ejpam-5404	332	14	how	how	SCONJ
ejpam-5404	332	15	the	the	DET
ejpam-5404	332	16	models	model	NOUN
ejpam-5404	332	17	differ	differ	VERB
ejpam-5404	332	18	over	over	ADP
ejpam-5404	332	19	time	time	NOUN
ejpam-5404	332	20	.	.	PUNCT
ejpam-5404	333	1	for	for	ADP
ejpam-5404	333	2	glucose	glucose	NOUN
ejpam-5404	333	3	g	g	NOUN
ejpam-5404	333	4	at	at	ADP
ejpam-5404	333	5	time	time	NOUN
ejpam-5404	333	6	t	t	PROPN
ejpam-5404	333	7	:	:	PUNCT
ejpam-5404	333	8	rmseg(t	rmseg(t	NOUN
ejpam-5404	333	9	)	)	PUNCT
ejpam-5404	334	1	=	=	PUNCT
ejpam-5404	334	2	√√√√	√√√√	PRON
ejpam-5404	334	3	1	1	NUM
ejpam-5404	334	4	m	m	VERB
ejpam-5404	334	5	m∑	m∑	VERB
ejpam-5404	334	6	j=1	j=1	NOUN
ejpam-5404	334	7	(	(	PUNCT
ejpam-5404	334	8	g	g	PROPN
ejpam-5404	334	9	(	(	PUNCT
ejpam-5404	334	10	j	j	PROPN
ejpam-5404	334	11	)	)	PUNCT
ejpam-5404	334	12	s	s	PART
ejpam-5404	334	13	(	(	PUNCT
ejpam-5404	334	14	t)−gd(t	t)−gd(t	NUM
ejpam-5404	334	15	)	)	PUNCT
ejpam-5404	334	16	)	)	PUNCT
ejpam-5404	334	17	2	2	NUM
ejpam-5404	334	18	for	for	ADP
ejpam-5404	334	19	insulin	insulin	NOUN
ejpam-5404	334	20	i	i	PRON
ejpam-5404	334	21	at	at	ADP
ejpam-5404	334	22	time	time	NOUN
ejpam-5404	334	23	t	t	PROPN
ejpam-5404	334	24	:	:	PUNCT
ejpam-5404	334	25	rmsei(t	rmsei(t	NOUN
ejpam-5404	334	26	)	)	PUNCT
ejpam-5404	334	27	=	=	PUNCT
ejpam-5404	334	28	√√√√	√√√√	PRON
ejpam-5404	334	29	1	1	NUM
ejpam-5404	334	30	m	m	VERB
ejpam-5404	334	31	m∑	m∑	VERB
ejpam-5404	334	32	j=1	j=1	NOUN
ejpam-5404	335	1	(	(	PUNCT
ejpam-5404	335	2	i	i	PRON
ejpam-5404	335	3	(	(	PUNCT
ejpam-5404	335	4	j	j	PROPN
ejpam-5404	335	5	)	)	PUNCT
ejpam-5404	335	6	s	s	PART
ejpam-5404	335	7	(	(	PUNCT
ejpam-5404	335	8	t)−	t)−	PROPN
ejpam-5404	335	9	id(t	id(t	NOUN
ejpam-5404	335	10	)	)	PUNCT
ejpam-5404	335	11	)	)	PUNCT
ejpam-5404	335	12	2	2	NUM
ejpam-5404	335	13	•	•	NUM
ejpam-5404	335	14	average	average	ADJ
ejpam-5404	335	15	rmse	rmse	NOUN
ejpam-5404	335	16	values	value	NOUN
ejpam-5404	335	17	rmseg	rmseg	VERB
ejpam-5404	335	18	and	and	CCONJ
ejpam-5404	335	19	rmsei	rmsei	ADJ
ejpam-5404	335	20	:	:	PUNCT
ejpam-5404	335	21	lower	low	ADJ
ejpam-5404	335	22	values	value	NOUN
ejpam-5404	335	23	indicate	indicate	VERB
ejpam-5404	335	24	better	well	ADJ
ejpam-5404	335	25	alignment	alignment	NOUN
ejpam-5404	335	26	between	between	ADP
ejpam-5404	335	27	the	the	DET
ejpam-5404	335	28	stochastic	stochastic	ADJ
ejpam-5404	335	29	and	and	CCONJ
ejpam-5404	335	30	deterministic	deterministic	ADJ
ejpam-5404	335	31	models	model	NOUN
ejpam-5404	335	32	,	,	PUNCT
ejpam-5404	335	33	while	while	SCONJ
ejpam-5404	335	34	higher	high	ADJ
ejpam-5404	335	35	values	value	NOUN
ejpam-5404	335	36	suggest	suggest	VERB
ejpam-5404	335	37	that	that	SCONJ
ejpam-5404	335	38	the	the	DET
ejpam-5404	335	39	stochastic	stochastic	ADJ
ejpam-5404	335	40	model	model	NOUN
ejpam-5404	335	41	captures	capture	VERB
ejpam-5404	335	42	additional	additional	ADJ
ejpam-5404	335	43	variability	variability	NOUN
ejpam-5404	335	44	not	not	PART
ejpam-5404	335	45	represented	represent	VERB
ejpam-5404	335	46	by	by	ADP
ejpam-5404	335	47	the	the	DET
ejpam-5404	335	48	deterministic	deterministic	ADJ
ejpam-5404	335	49	model	model	NOUN
ejpam-5404	335	50	.	.	PUNCT
ejpam-5404	336	1	•	•	NUM
ejpam-5404	336	2	rmse	rmse	NOUN
ejpam-5404	336	3	over	over	ADP
ejpam-5404	336	4	time	time	NOUN
ejpam-5404	336	5	rmseg(t	rmseg(t	NOUN
ejpam-5404	336	6	)	)	PUNCT
ejpam-5404	336	7	and	and	CCONJ
ejpam-5404	336	8	rmsei(t	rmsei(t	NOUN
ejpam-5404	336	9	):	):	PUNCT
ejpam-5404	336	10	plotting	plot	VERB
ejpam-5404	336	11	these	these	DET
ejpam-5404	336	12	values	value	NOUN
ejpam-5404	336	13	can	can	AUX
ejpam-5404	336	14	highlight	highlight	VERB
ejpam-5404	336	15	periods	period	NOUN
ejpam-5404	336	16	where	where	SCONJ
ejpam-5404	336	17	the	the	DET
ejpam-5404	336	18	deterministic	deterministic	ADJ
ejpam-5404	336	19	model	model	NOUN
ejpam-5404	336	20	diverges	diverge	VERB
ejpam-5404	336	21	from	from	ADP
ejpam-5404	336	22	the	the	DET
ejpam-5404	336	23	stochastic	stochastic	ADJ
ejpam-5404	336	24	predictions	prediction	NOUN
ejpam-5404	336	25	,	,	PUNCT
ejpam-5404	336	26	potentially	potentially	ADV
ejpam-5404	336	27	indicating	indicate	VERB
ejpam-5404	336	28	times	time	NOUN
ejpam-5404	336	29	where	where	SCONJ
ejpam-5404	336	30	randomness	randomness	NOUN
ejpam-5404	336	31	significantly	significantly	ADV
ejpam-5404	336	32	impacts	impact	VERB
ejpam-5404	336	33	glucose	glucose	NOUN
ejpam-5404	336	34	-	-	PUNCT
ejpam-5404	336	35	insulin	insulin	NOUN
ejpam-5404	336	36	dynamics	dynamic	NOUN
ejpam-5404	336	37	.	.	PUNCT
ejpam-5404	337	1	this	this	DET
ejpam-5404	337	2	rmse	rmse	ADJ
ejpam-5404	337	3	analysis	analysis	NOUN
ejpam-5404	337	4	quantifies	quantify	VERB
ejpam-5404	337	5	the	the	DET
ejpam-5404	337	6	differences	difference	NOUN
ejpam-5404	337	7	between	between	ADP
ejpam-5404	337	8	the	the	DET
ejpam-5404	337	9	models	model	NOUN
ejpam-5404	337	10	,	,	PUNCT
ejpam-5404	337	11	offering	offer	VERB
ejpam-5404	337	12	insights	insight	NOUN
ejpam-5404	337	13	into	into	ADP
ejpam-5404	337	14	the	the	DET
ejpam-5404	337	15	benefits	benefit	NOUN
ejpam-5404	337	16	of	of	ADP
ejpam-5404	337	17	incorporating	incorporate	VERB
ejpam-5404	337	18	stochastic	stochastic	ADJ
ejpam-5404	337	19	elements	element	NOUN
ejpam-5404	337	20	in	in	ADP
ejpam-5404	337	21	glucose	glucose	NOUN
ejpam-5404	337	22	-	-	PUNCT
ejpam-5404	337	23	insulin	insulin	NOUN
ejpam-5404	337	24	modeling	modeling	NOUN
ejpam-5404	337	25	.	.	PUNCT
ejpam-5404	338	1	variable	variable	ADJ
ejpam-5404	338	2	average	average	ADJ
ejpam-5404	338	3	rmse	rmse	NOUN
ejpam-5404	338	4	g	g	PROPN
ejpam-5404	338	5	0.3835732230450149	0.3835732230450149	NUM
ejpam-5404	338	6	i	i	NOUN
ejpam-5404	338	7	0.4284501653742788	0.4284501653742788	NUM
ejpam-5404	338	8	table	table	NOUN
ejpam-5404	338	9	2	2	NUM
ejpam-5404	338	10	:	:	PUNCT
ejpam-5404	338	11	average	average	ADJ
ejpam-5404	338	12	rmse	rmse	NOUN
ejpam-5404	338	13	values	value	NOUN
ejpam-5404	338	14	for	for	ADP
ejpam-5404	338	15	g	g	PROPN
ejpam-5404	338	16	and	and	CCONJ
ejpam-5404	338	17	i	i	PRON
ejpam-5404	338	18	7	7	NUM
ejpam-5404	338	19	.	.	PUNCT
ejpam-5404	338	20	application	application	NOUN
ejpam-5404	338	21	of	of	ADP
ejpam-5404	338	22	milstein	milstein	PROPN
ejpam-5404	338	23	method	method	NOUN
ejpam-5404	338	24	model	model	NOUN
ejpam-5404	338	25	(	(	PUNCT
ejpam-5404	338	26	2	2	NUM
ejpam-5404	338	27	)	)	PUNCT
ejpam-5404	338	28	is	be	AUX
ejpam-5404	338	29	numerically	numerically	ADV
ejpam-5404	338	30	simulated	simulate	VERB
ejpam-5404	338	31	via	via	ADP
ejpam-5404	338	32	applying	apply	VERB
ejpam-5404	338	33	the	the	DET
ejpam-5404	338	34	milstein	milstein	ADJ
ejpam-5404	338	35	method	method	NOUN
ejpam-5404	338	36	[	[	X
ejpam-5404	338	37	19	19	NUM
ejpam-5404	338	38	]	]	PUNCT
ejpam-5404	338	39	.	.	PUNCT
ejpam-5404	339	1	therefore	therefore	ADV
ejpam-5404	339	2	,	,	PUNCT
ejpam-5404	339	3	system	system	NOUN
ejpam-5404	339	4	(	(	PUNCT
ejpam-5404	339	5	2	2	X
ejpam-5404	339	6	)	)	PUNCT
ejpam-5404	339	7	can	can	AUX
ejpam-5404	339	8	be	be	AUX
ejpam-5404	339	9	written	write	VERB
ejpam-5404	339	10	as:	as:	PUNCT
ejpam-5404	339	11	gi+1	gi+1	VERB
ejpam-5404	340	1	=	=	NOUN
ejpam-5404	340	2	gi	gi	X
ejpam-5404	340	3	+	+	CCONJ
ejpam-5404	340	4	(	(	PUNCT
ejpam-5404	340	5	gin	gin	NOUN
ejpam-5404	340	6	−	−	PROPN
ejpam-5404	340	7	agi	agi	NOUN
ejpam-5404	340	8	−	−	NOUN
ejpam-5404	340	9	bgiii)∆t+	bgiii)∆t+	ADP
ejpam-5404	340	10	σ1gi(t	σ1gi(t	PROPN
ejpam-5404	340	11	)	)	PUNCT
ejpam-5404	340	12	√	√	ADP
ejpam-5404	341	1	∆tξ1,i	∆tξ1,i	PROPN
ejpam-5404	341	2	+	+	NUM
ejpam-5404	341	3	σ1	σ1	NOUN
ejpam-5404	341	4	2	2	NUM
ejpam-5404	341	5	gi	gi	NOUN
ejpam-5404	341	6	(	(	PUNCT
ejpam-5404	341	7	ξ21,i	ξ21,i	NOUN
ejpam-5404	341	8	−	−	ADP
ejpam-5404	341	9	1	1	NUM
ejpam-5404	341	10	)	)	PUNCT
ejpam-5404	341	11	∆t	∆t	PROPN
ejpam-5404	341	12	,	,	PUNCT
ejpam-5404	341	13	ii+1	ii+1	NOUN
ejpam-5404	341	14	=	=	NOUN
ejpam-5404	341	15	ii	ii	NOUN
ejpam-5404	342	1	+	+	CCONJ
ejpam-5404	342	2	(	(	PUNCT
ejpam-5404	342	3	iin	iin	NOUN
ejpam-5404	342	4	+	+	CCONJ
ejpam-5404	342	5	cgi	cgi	PROPN
ejpam-5404	342	6	−	−	PROPN
ejpam-5404	342	7	dii	dii	NOUN
ejpam-5404	342	8	e+	e+	VERB
ejpam-5404	342	9	ii	ii	PROPN
ejpam-5404	342	10	)	)	PUNCT
ejpam-5404	342	11	∆t+	∆t+	PROPN
ejpam-5404	342	12	σ2ii(t	σ2ii(t	PROPN
ejpam-5404	342	13	)	)	PUNCT
ejpam-5404	342	14	√	√	PUNCT
ejpam-5404	343	1	∆tξ2,i	∆tξ2,i	ADV
ejpam-5404	343	2	+	+	CCONJ
ejpam-5404	343	3	σ2	σ2	PROPN
ejpam-5404	343	4	2	2	NUM
ejpam-5404	343	5	ii	ii	NOUN
ejpam-5404	343	6	(	(	PUNCT
ejpam-5404	343	7	ξ22,i	ξ22,i	ADV
ejpam-5404	343	8	−	−	PROPN
ejpam-5404	343	9	1	1	NUM
ejpam-5404	343	10	)	)	PUNCT
ejpam-5404	343	11	∆t	∆t	PROPN
ejpam-5404	343	12	,	,	PUNCT
ejpam-5404	343	13	s.	s.	PROPN
ejpam-5404	343	14	m.	m.	PROPN
ejpam-5404	343	15	alzahrani	alzahrani	PROPN
ejpam-5404	343	16	/	/	SYM
ejpam-5404	343	17	eur	eur	PROPN
ejpam-5404	343	18	.	.	PUNCT
ejpam-5404	344	1	j.	j.	PROPN
ejpam-5404	344	2	pure	pure	PROPN
ejpam-5404	344	3	appl	appl	PROPN
ejpam-5404	344	4	.	.	PROPN
ejpam-5404	344	5	math	math	PROPN
ejpam-5404	344	6	,	,	PUNCT
ejpam-5404	344	7	18	18	NUM
ejpam-5404	344	8	(	(	PUNCT
ejpam-5404	344	9	1	1	NUM
ejpam-5404	344	10	)	)	PUNCT
ejpam-5404	344	11	(	(	PUNCT
ejpam-5404	344	12	2025	2025	NUM
ejpam-5404	344	13	)	)	PUNCT
ejpam-5404	344	14	,	,	PUNCT
ejpam-5404	344	15	5404	5404	NUM
ejpam-5404	344	16	14	14	NUM
ejpam-5404	344	17	of	of	ADP
ejpam-5404	344	18	22	22	NUM
ejpam-5404	344	19	here	here	ADV
ejpam-5404	344	20	∆t	∆t	PROPN
ejpam-5404	344	21	is	be	AUX
ejpam-5404	344	22	a	a	DET
ejpam-5404	344	23	time	time	NOUN
ejpam-5404	344	24	step	step	NOUN
ejpam-5404	344	25	and	and	CCONJ
ejpam-5404	344	26	{	{	PUNCT
ejpam-5404	344	27	ξu	ξu	NOUN
ejpam-5404	344	28	,	,	PUNCT
ejpam-5404	344	29	i	i	PRON
ejpam-5404	344	30	,	,	PUNCT
ejpam-5404	344	31	i	i	PRON
ejpam-5404	344	32	≥	≥	VERB
ejpam-5404	344	33	0	0	NUM
ejpam-5404	344	34	}	}	PUNCT
ejpam-5404	344	35	is	be	AUX
ejpam-5404	344	36	a	a	DET
ejpam-5404	344	37	sequence	sequence	NOUN
ejpam-5404	344	38	of	of	ADP
ejpam-5404	344	39	random	random	ADJ
ejpam-5404	344	40	numbers	number	NOUN
ejpam-5404	344	41	uniformly	uniformly	ADV
ejpam-5404	344	42	distributed	distribute	VERB
ejpam-5404	344	43	in	in	ADP
ejpam-5404	344	44	[	[	X
ejpam-5404	344	45	0	0	NUM
ejpam-5404	344	46	,	,	PUNCT
ejpam-5404	344	47	1	1	NUM
ejpam-5404	344	48	]	]	PUNCT
ejpam-5404	344	49	.	.	PUNCT
ejpam-5404	345	1	g(0	g(0	NOUN
ejpam-5404	345	2	)	)	PUNCT
ejpam-5404	345	3	=	=	SYM
ejpam-5404	345	4	128.052	128.052	NUM
ejpam-5404	345	5	,	,	PUNCT
ejpam-5404	345	6	i(0	i(0	PROPN
ejpam-5404	345	7	)	)	PUNCT
ejpam-5404	345	8	=	=	SYM
ejpam-5404	346	1	0	0	NUM
ejpam-5404	346	2	are	be	AUX
ejpam-5404	346	3	the	the	DET
ejpam-5404	346	4	initial	initial	ADJ
ejpam-5404	346	5	conditions	condition	NOUN
ejpam-5404	346	6	.	.	PUNCT
ejpam-5404	347	1	parameters	parameter	NOUN
ejpam-5404	347	2	description	description	NOUN
ejpam-5404	347	3	unit	unit	NOUN
ejpam-5404	347	4	values	value	NOUN
ejpam-5404	347	5	gin	gin	VERB
ejpam-5404	347	6	the	the	DET
ejpam-5404	347	7	rate	rate	NOUN
ejpam-5404	347	8	of	of	ADP
ejpam-5404	347	9	glucose	glucose	NOUN
ejpam-5404	347	10	intake	intake	NOUN
ejpam-5404	347	11	mg	mg	PROPN
ejpam-5404	347	12	/	/	SYM
ejpam-5404	347	13	dl	dl	PROPN
ejpam-5404	347	14	/	/	SYM
ejpam-5404	347	15	min	min	PROPN
ejpam-5404	347	16	4.5	4.5	NUM
ejpam-5404	347	17	lin	lin	PROPN
ejpam-5404	347	18	the	the	DET
ejpam-5404	347	19	rate	rate	NOUN
ejpam-5404	347	20	of	of	ADP
ejpam-5404	347	21	exogenous	exogenous	ADJ
ejpam-5404	347	22	insulin	insulin	NOUN
ejpam-5404	347	23	infusion	infusion	NOUN
ejpam-5404	347	24	µu	µu	PROPN
ejpam-5404	347	25	/	/	SYM
ejpam-5404	347	26	ml	ml	NOUN
ejpam-5404	347	27	/	/	SYM
ejpam-5404	347	28	min	min	NOUN
ejpam-5404	348	1	[	[	X
ejpam-5404	348	2	0	0	NUM
ejpam-5404	348	3	,	,	PUNCT
ejpam-5404	348	4	3	3	NUM
ejpam-5404	348	5	,	,	PUNCT
ejpam-5404	348	6	6	6	NUM
ejpam-5404	348	7	,	,	PUNCT
ejpam-5404	348	8	10	10	NUM
ejpam-5404	348	9	]	]	PUNCT
ejpam-5404	348	10	a	a	DET
ejpam-5404	348	11	the	the	DET
ejpam-5404	348	12	rate	rate	NOUN
ejpam-5404	348	13	of	of	ADP
ejpam-5404	348	14	insulin	insulin	NOUN
ejpam-5404	348	15	-	-	PUNCT
ejpam-5404	348	16	independent	independent	ADJ
ejpam-5404	348	17	utilization	utilization	NOUN
ejpam-5404	348	18	min−1	min−1	PROPN
ejpam-5404	348	19	0.0002	0.0002	NUM
ejpam-5404	348	20	b	b	NOUN
ejpam-5404	348	21	insulin	insulin	NOUN
ejpam-5404	348	22	-	-	PUNCT
ejpam-5404	348	23	dependent	dependent	ADJ
ejpam-5404	348	24	utilization	utilization	NOUN
ejpam-5404	348	25	rate	rate	NOUN
ejpam-5404	348	26	ml/µu	ml/µu	NUM
ejpam-5404	348	27	/	/	SYM
ejpam-5404	348	28	min	min	NOUN
ejpam-5404	348	29	7.5919e-4	7.5919e-4	NUM
ejpam-5404	348	30	c	c	NOUN
ejpam-5404	348	31	rate	rate	NOUN
ejpam-5404	348	32	of	of	ADP
ejpam-5404	348	33	insulin	insulin	NOUN
ejpam-5404	348	34	secretion	secretion	NOUN
ejpam-5404	348	35	µu	µu	PROPN
ejpam-5404	348	36	/	/	SYM
ejpam-5404	348	37	ml	ml	NOUN
ejpam-5404	348	38	/	/	SYM
ejpam-5404	348	39	min/(mg	min/(mg	PROPN
ejpam-5404	348	40	/	/	SYM
ejpam-5404	348	41	dl	dl	NOUN
ejpam-5404	348	42	)	)	PUNCT
ejpam-5404	349	1	0.2298	0.2298	NUM
ejpam-5404	349	2	d	d	NOUN
ejpam-5404	349	3	rate	rate	NOUN
ejpam-5404	349	4	of	of	ADP
ejpam-5404	349	5	maximum	maximum	ADJ
ejpam-5404	349	6	insulin	insulin	NOUN
ejpam-5404	349	7	clearance	clearance	NOUN
ejpam-5404	349	8	µu	µu	PROPN
ejpam-5404	349	9	/	/	SYM
ejpam-5404	349	10	ml	ml	NOUN
ejpam-5404	349	11	/	/	SYM
ejpam-5404	349	12	min	min	NOUN
ejpam-5404	349	13	1500	1500	NUM
ejpam-5404	349	14	e	e	NOUN
ejpam-5404	349	15	a	a	DET
ejpam-5404	349	16	half	half	ADJ
ejpam-5404	349	17	-	-	PUNCT
ejpam-5404	349	18	saturation	saturation	NOUN
ejpam-5404	349	19	value	value	NOUN
ejpam-5404	349	20	2300	2300	NUM
ejpam-5404	349	21	table	table	NOUN
ejpam-5404	349	22	3	3	NUM
ejpam-5404	349	23	:	:	PUNCT
ejpam-5404	349	24	parameters	parameter	NOUN
ejpam-5404	349	25	of	of	ADP
ejpam-5404	349	26	the	the	DET
ejpam-5404	349	27	model	model	NOUN
ejpam-5404	349	28	[	[	X
ejpam-5404	349	29	31	31	NUM
ejpam-5404	349	30	]	]	SYM
ejpam-5404	349	31	7.1	7.1	NUM
ejpam-5404	349	32	.	.	PUNCT
ejpam-5404	350	1	model	model	NOUN
ejpam-5404	350	2	mean	mean	NOUN
ejpam-5404	350	3	and	and	CCONJ
ejpam-5404	350	4	confidence	confidence	NOUN
ejpam-5404	350	5	interval	interval	NOUN
ejpam-5404	350	6	using	use	VERB
ejpam-5404	350	7	milstein	milstein	PROPN
ejpam-5404	350	8	numerical	numerical	ADJ
ejpam-5404	350	9	approximation	approximation	NOUN
ejpam-5404	350	10	in	in	ADP
ejpam-5404	350	11	[	[	X
ejpam-5404	350	12	19	19	NUM
ejpam-5404	350	13	]	]	PUNCT
ejpam-5404	350	14	.	.	PUNCT
ejpam-5404	351	1	we	we	PRON
ejpam-5404	351	2	apply	apply	VERB
ejpam-5404	351	3	different	different	ADJ
ejpam-5404	351	4	noises	noise	NOUN
ejpam-5404	351	5	σ1	σ1	NOUN
ejpam-5404	351	6	=	=	SYM
ejpam-5404	351	7	0.1	0.1	NUM
ejpam-5404	351	8	,	,	PUNCT
ejpam-5404	351	9	σ1	σ1	NOUN
ejpam-5404	351	10	=	=	SYM
ejpam-5404	351	11	0.5	0.5	NUM
ejpam-5404	351	12	,	,	PUNCT
ejpam-5404	351	13	σ1	σ1	NOUN
ejpam-5404	351	14	=	=	PUNCT
ejpam-5404	351	15	0.9	0.9	NUM
ejpam-5404	351	16	,	,	PUNCT
ejpam-5404	351	17	σ1	σ1	NOUN
ejpam-5404	351	18	=	=	SYM
ejpam-5404	351	19	1	1	NUM
ejpam-5404	351	20	to	to	ADP
ejpam-5404	351	21	the	the	DET
ejpam-5404	351	22	stochastic	stochastic	ADJ
ejpam-5404	351	23	system	system	NOUN
ejpam-5404	351	24	(	(	PUNCT
ejpam-5404	351	25	2	2	NUM
ejpam-5404	351	26	)	)	PUNCT
ejpam-5404	351	27	.	.	PUNCT
ejpam-5404	352	1	the	the	DET
ejpam-5404	352	2	n	n	NOUN
ejpam-5404	352	3	=	=	SYM
ejpam-5404	352	4	29	29	NUM
ejpam-5404	352	5	,	,	PUNCT
ejpam-5404	352	6	210	210	NUM
ejpam-5404	352	7	,	,	PUNCT
ejpam-5404	352	8	211	211	NUM
ejpam-5404	352	9	,	,	PUNCT
ejpam-5404	352	10	212	212	NUM
ejpam-5404	352	11	and	and	CCONJ
ejpam-5404	352	12	213	213	NUM
ejpam-5404	352	13	were	be	AUX
ejpam-5404	352	14	used	use	VERB
ejpam-5404	352	15	to	to	PART
ejpam-5404	352	16	analyze	analyze	VERB
ejpam-5404	352	17	10,000	10,000	NUM
ejpam-5404	352	18	sample	sample	NOUN
ejpam-5404	352	19	paths	path	NOUN
ejpam-5404	352	20	for	for	ADP
ejpam-5404	352	21	milstein	milstein	ADJ
ejpam-5404	352	22	approximations	approximation	NOUN
ejpam-5404	352	23	of	of	ADP
ejpam-5404	352	24	this	this	DET
ejpam-5404	352	25	model	model	NOUN
ejpam-5404	352	26	.	.	PUNCT
ejpam-5404	353	1	let	let	AUX
ejpam-5404	353	2	φi	φi	ADV
ejpam-5404	353	3	n	n	ADV
ejpam-5404	353	4	be	be	AUX
ejpam-5404	353	5	the	the	DET
ejpam-5404	353	6	estimate	estimate	NOUN
ejpam-5404	353	7	of	of	ADP
ejpam-5404	353	8	y	y	PROPN
ejpam-5404	353	9	at	at	ADP
ejpam-5404	353	10	t	t	PROPN
ejpam-5404	353	11	=	=	SYM
ejpam-5404	353	12	1	1	NUM
ejpam-5404	353	13	for	for	ADP
ejpam-5404	353	14	i	i	PROPN
ejpam-5404	353	15	=	=	SYM
ejpam-5404	353	16	1.2th	1.2th	NUM
ejpam-5404	353	17	sample	sample	NOUN
ejpam-5404	353	18	path	path	NOUN
ejpam-5404	353	19	of	of	ADP
ejpam-5404	353	20	n	n	DET
ejpam-5404	353	21	subintervals	subinterval	NOUN
ejpam-5404	353	22	.	.	PUNCT
ejpam-5404	354	1	it	it	PRON
ejpam-5404	354	2	is	be	AUX
ejpam-5404	354	3	proposed	propose	VERB
ejpam-5404	354	4	to	to	PART
ejpam-5404	354	5	estimate	estimate	VERB
ejpam-5404	354	6	e[φ(1	e[φ(1	PROPN
ejpam-5404	354	7	)	)	PUNCT
ejpam-5404	354	8	]	]	PUNCT
ejpam-5404	355	1	≈	≈	PROPN
ejpam-5404	355	2	1	1	NUM
ejpam-5404	355	3	10,000	10,000	NUM
ejpam-5404	355	4	∑10,000	∑10,000	PUNCT
ejpam-5404	355	5	i=1	i=1	PROPN
ejpam-5404	355	6	φi	φi	ADP
ejpam-5404	355	7	n	n	PROPN
ejpam-5404	355	8	.	.	PUNCT
ejpam-5404	356	1	next	next	ADV
ejpam-5404	356	2	,	,	PUNCT
ejpam-5404	356	3	we	we	PRON
ejpam-5404	356	4	calculated	calculate	VERB
ejpam-5404	356	5	the	the	DET
ejpam-5404	356	6	mean	mean	ADJ
ejpam-5404	356	7	and	and	CCONJ
ejpam-5404	356	8	standard	standard	ADJ
ejpam-5404	356	9	deviation	deviation	NOUN
ejpam-5404	356	10	.	.	PUNCT
ejpam-5404	357	1	using	use	VERB
ejpam-5404	357	2	the	the	DET
ejpam-5404	357	3	results	result	NOUN
ejpam-5404	357	4	,	,	PUNCT
ejpam-5404	357	5	milstein	milstein	ADJ
ejpam-5404	357	6	approximations	approximation	NOUN
ejpam-5404	357	7	were	be	AUX
ejpam-5404	357	8	plotted	plot	VERB
ejpam-5404	357	9	.	.	PUNCT
ejpam-5404	358	1	results	result	NOUN
ejpam-5404	358	2	are	be	AUX
ejpam-5404	358	3	shown	show	VERB
ejpam-5404	358	4	in	in	ADP
ejpam-5404	358	5	figures	figure	NOUN
ejpam-5404	358	6	3	3	NUM
ejpam-5404	358	7	,	,	PUNCT
ejpam-5404	358	8	4	4	NUM
ejpam-5404	358	9	,	,	PUNCT
ejpam-5404	358	10	5	5	NUM
ejpam-5404	358	11	,	,	PUNCT
ejpam-5404	358	12	and	and	CCONJ
ejpam-5404	358	13	6	6	NUM
ejpam-5404	358	14	.	.	PUNCT
ejpam-5404	359	1	the	the	DET
ejpam-5404	359	2	mean	mean	ADJ
ejpam-5404	359	3	and	and	CCONJ
ejpam-5404	359	4	confidence	confidence	NOUN
ejpam-5404	359	5	interval	interval	NOUN
ejpam-5404	359	6	are	be	AUX
ejpam-5404	359	7	calculated	calculate	VERB
ejpam-5404	359	8	in	in	ADP
ejpam-5404	359	9	k	k	PROPN
ejpam-5404	359	10	iterations	iteration	NOUN
ejpam-5404	359	11	.	.	PUNCT
ejpam-5404	360	1	figures	figure	NOUN
ejpam-5404	360	2	2	2	NUM
ejpam-5404	360	3	-	-	SYM
ejpam-5404	360	4	5	5	NUM
ejpam-5404	360	5	show	show	VERB
ejpam-5404	360	6	the	the	DET
ejpam-5404	360	7	means	mean	NOUN
ejpam-5404	360	8	and	and	CCONJ
ejpam-5404	360	9	confidence	confidence	NOUN
ejpam-5404	360	10	intervals	interval	NOUN
ejpam-5404	360	11	for	for	ADP
ejpam-5404	360	12	operators	operator	NOUN
ejpam-5404	360	13	g	g	PROPN
ejpam-5404	360	14	and	and	CCONJ
ejpam-5404	360	15	i.	i.	PROPN
ejpam-5404	360	16	n	n	PROPN
ejpam-5404	360	17	e[φ(1	e[φ(1	PROPN
ejpam-5404	360	18	)	)	PUNCT
ejpam-5404	360	19	]	]	PUNCT
ejpam-5404	361	1	gn	gn	PROPN
ejpam-5404	361	2	95	95	NUM
ejpam-5404	361	3	%	%	NOUN
ejpam-5404	361	4	ci	ci	NOUN
ejpam-5404	361	5	for	for	ADP
ejpam-5404	361	6	g	g	PROPN
ejpam-5404	361	7	in	in	ADP
ejpam-5404	361	8	95	95	NUM
ejpam-5404	361	9	%	%	NOUN
ejpam-5404	361	10	ci	ci	NOUN
ejpam-5404	361	11	for	for	ADP
ejpam-5404	361	12	i	i	PRON
ejpam-5404	361	13	xe	xe	PROPN
ejpam-5404	361	14	29	29	NUM
ejpam-5404	361	15	0.1234	0.1234	NUM
ejpam-5404	361	16	128.052	128.052	NUM
ejpam-5404	362	1	[	[	X
ejpam-5404	362	2	127.0	127.0	NUM
ejpam-5404	362	3	,	,	PUNCT
ejpam-5404	362	4	129.1	129.1	NUM
ejpam-5404	362	5	]	]	PUNCT
ejpam-5404	362	6	5.0	5.0	NUM
ejpam-5404	362	7	[	[	SYM
ejpam-5404	362	8	4.5	4.5	NUM
ejpam-5404	362	9	,	,	PUNCT
ejpam-5404	362	10	5.5	5.5	NUM
ejpam-5404	362	11	]	]	PUNCT
ejpam-5404	362	12	0.02	0.02	NUM
ejpam-5404	362	13	210	210	NUM
ejpam-5404	363	1	0.1256	0.1256	NUM
ejpam-5404	363	2	117.526	117.526	NUM
ejpam-5404	364	1	[	[	X
ejpam-5404	364	2	116.5	116.5	NUM
ejpam-5404	364	3	,	,	PUNCT
ejpam-5404	364	4	118.5	118.5	NUM
ejpam-5404	364	5	]	]	SYM
ejpam-5404	364	6	6.0	6.0	NUM
ejpam-5404	365	1	[	[	SYM
ejpam-5404	365	2	5.5	5.5	NUM
ejpam-5404	365	3	,	,	PUNCT
ejpam-5404	365	4	6.5	6.5	NUM
ejpam-5404	365	5	]	]	PUNCT
ejpam-5404	365	6	0.015	0.015	NUM
ejpam-5404	365	7	211	211	NUM
ejpam-5404	365	8	0.1300	0.1300	NUM
ejpam-5404	365	9	107.912	107.912	NUM
ejpam-5404	366	1	[	[	X
ejpam-5404	366	2	106.9	106.9	NUM
ejpam-5404	366	3	,	,	PUNCT
ejpam-5404	366	4	108.9	108.9	NUM
ejpam-5404	366	5	]	]	SYM
ejpam-5404	366	6	8.0	8.0	NUM
ejpam-5404	367	1	[	[	X
ejpam-5404	367	2	7.5	7.5	NUM
ejpam-5404	367	3	,	,	PUNCT
ejpam-5404	367	4	8.5	8.5	NUM
ejpam-5404	367	5	]	]	PUNCT
ejpam-5404	367	6	0.01	0.01	NUM
ejpam-5404	367	7	212	212	NUM
ejpam-5404	367	8	0.1350	0.1350	NUM
ejpam-5404	367	9	91.2907	91.2907	NUM
ejpam-5404	368	1	[	[	X
ejpam-5404	368	2	90.3	90.3	NUM
ejpam-5404	368	3	,	,	PUNCT
ejpam-5404	368	4	92.3	92.3	NUM
ejpam-5404	368	5	]	]	PUNCT
ejpam-5404	368	6	10.0	10.0	NUM
ejpam-5404	369	1	[	[	X
ejpam-5404	369	2	9.5	9.5	NUM
ejpam-5404	369	3	,	,	PUNCT
ejpam-5404	369	4	10.5	10.5	NUM
ejpam-5404	369	5	]	]	SYM
ejpam-5404	369	6	0.005	0.005	NUM
ejpam-5404	369	7	213	213	NUM
ejpam-5404	369	8	0.1385	0.1385	NUM
ejpam-5404	369	9	85.000	85.000	NUM
ejpam-5404	370	1	[	[	SYM
ejpam-5404	370	2	84.0	84.0	NUM
ejpam-5404	370	3	,	,	PUNCT
ejpam-5404	370	4	86.0	86.0	NUM
ejpam-5404	370	5	]	]	PUNCT
ejpam-5404	370	6	20.0	20.0	NUM
ejpam-5404	371	1	[	[	X
ejpam-5404	371	2	19.5	19.5	NUM
ejpam-5404	371	3	,	,	PUNCT
ejpam-5404	371	4	20.5	20.5	NUM
ejpam-5404	371	5	]	]	SYM
ejpam-5404	371	6	0.003	0.003	NUM
ejpam-5404	371	7	table	table	NOUN
ejpam-5404	371	8	4	4	NUM
ejpam-5404	371	9	:	:	PUNCT
ejpam-5404	371	10	estimation	estimation	NOUN
ejpam-5404	371	11	values	value	NOUN
ejpam-5404	371	12	for	for	ADP
ejpam-5404	371	13	the	the	DET
ejpam-5404	371	14	milstein	milstein	ADJ
ejpam-5404	371	15	method	method	NOUN
ejpam-5404	371	16	for	for	ADP
ejpam-5404	371	17	different	different	ADJ
ejpam-5404	371	18	n	n	NOUN
ejpam-5404	371	19	.	.	PUNCT
ejpam-5404	372	1	•	•	NOUN
ejpam-5404	372	2	φi	φi	ADP
ejpam-5404	372	3	n	n	PROPN
ejpam-5404	372	4	:	:	PUNCT
ejpam-5404	372	5	estimate	estimate	NOUN
ejpam-5404	372	6	of	of	ADP
ejpam-5404	372	7	y	y	PROPN
ejpam-5404	372	8	at	at	ADP
ejpam-5404	372	9	t	t	PROPN
ejpam-5404	372	10	=	=	SYM
ejpam-5404	372	11	1	1	NUM
ejpam-5404	372	12	for	for	ADP
ejpam-5404	372	13	the	the	DET
ejpam-5404	372	14	i	i	PROPN
ejpam-5404	372	15	-	-	PUNCT
ejpam-5404	372	16	th	th	X
ejpam-5404	372	17	sample	sample	NOUN
ejpam-5404	372	18	path	path	NOUN
ejpam-5404	372	19	using	use	VERB
ejpam-5404	372	20	n	n	PART
ejpam-5404	372	21	subintervals	subinterval	NOUN
ejpam-5404	372	22	.	.	PUNCT
ejpam-5404	373	1	•	•	NUM
ejpam-5404	373	2	gn	gn	INTJ
ejpam-5404	373	3	and	and	CCONJ
ejpam-5404	373	4	in	in	ADP
ejpam-5404	373	5	:	:	PUNCT
ejpam-5404	374	1	mean	mean	ADJ
ejpam-5404	374	2	values	value	NOUN
ejpam-5404	374	3	of	of	ADP
ejpam-5404	374	4	g	g	PROPN
ejpam-5404	374	5	and	and	CCONJ
ejpam-5404	374	6	i	i	PRON
ejpam-5404	374	7	for	for	ADP
ejpam-5404	374	8	each	each	DET
ejpam-5404	374	9	n	n	NOUN
ejpam-5404	374	10	.	.	PUNCT
ejpam-5404	375	1	•	•	NUM
ejpam-5404	375	2	ci	ci	NOUN
ejpam-5404	375	3	:	:	PUNCT
ejpam-5404	375	4	confidence	confidence	NOUN
ejpam-5404	375	5	interval	interval	NOUN
ejpam-5404	375	6	for	for	ADP
ejpam-5404	375	7	the	the	DET
ejpam-5404	375	8	respective	respective	ADJ
ejpam-5404	375	9	means	mean	NOUN
ejpam-5404	375	10	.	.	PUNCT
ejpam-5404	376	1	•	•	NUM
ejpam-5404	376	2	xe	xe	PROPN
ejpam-5404	376	3	:	:	PUNCT
ejpam-5404	376	4	mean	mean	VERB
ejpam-5404	376	5	error	error	NOUN
ejpam-5404	376	6	across	across	ADP
ejpam-5404	376	7	iterations	iteration	NOUN
ejpam-5404	376	8	.	.	PUNCT
ejpam-5404	377	1	s.	s.	PROPN
ejpam-5404	377	2	m.	m.	PROPN
ejpam-5404	377	3	alzahrani	alzahrani	PROPN
ejpam-5404	377	4	/	/	SYM
ejpam-5404	377	5	eur	eur	PROPN
ejpam-5404	377	6	.	.	PUNCT
ejpam-5404	378	1	j.	j.	PROPN
ejpam-5404	378	2	pure	pure	PROPN
ejpam-5404	378	3	appl	appl	PROPN
ejpam-5404	378	4	.	.	PROPN
ejpam-5404	378	5	math	math	PROPN
ejpam-5404	378	6	,	,	PUNCT
ejpam-5404	378	7	18	18	NUM
ejpam-5404	378	8	(	(	PUNCT
ejpam-5404	378	9	1	1	NUM
ejpam-5404	378	10	)	)	PUNCT
ejpam-5404	378	11	(	(	PUNCT
ejpam-5404	378	12	2025	2025	NUM
ejpam-5404	378	13	)	)	PUNCT
ejpam-5404	378	14	,	,	PUNCT
ejpam-5404	378	15	5404	5404	NUM
ejpam-5404	378	16	15	15	NUM
ejpam-5404	378	17	of	of	ADP
ejpam-5404	378	18	22	22	NUM
ejpam-5404	378	19	0	0	NUM
ejpam-5404	378	20	20	20	NUM
ejpam-5404	378	21	40	40	NUM
ejpam-5404	378	22	60	60	NUM
ejpam-5404	378	23	80	80	NUM
ejpam-5404	378	24	100	100	NUM
ejpam-5404	378	25	120	120	NUM
ejpam-5404	378	26	140	140	NUM
ejpam-5404	378	27	160	160	NUM
ejpam-5404	378	28	180	180	NUM
ejpam-5404	378	29	200	200	NUM
ejpam-5404	378	30	time	time	NOUN
ejpam-5404	378	31	-20	-20	NUM
ejpam-5404	378	32	0	0	NUM
ejpam-5404	378	33	20	20	NUM
ejpam-5404	378	34	40	40	NUM
ejpam-5404	378	35	60	60	NUM
ejpam-5404	378	36	80	80	NUM
ejpam-5404	378	37	100	100	NUM
ejpam-5404	378	38	120	120	NUM
ejpam-5404	378	39	140	140	NUM
ejpam-5404	378	40	160	160	NUM
ejpam-5404	378	41	180	180	NUM
ejpam-5404	378	42	m	m	VERB
ejpam-5404	378	43	e	e	NOUN
ejpam-5404	378	44	a	a	PRON
ejpam-5404	378	45	n	n	PRON
ejpam-5404	378	46	g	g	NOUN
ejpam-5404	378	47	mean	mean	VERB
ejpam-5404	378	48	g	g	PROPN
ejpam-5404	378	49	for	for	ADP
ejpam-5404	378	50	i	i	PRON
ejpam-5404	378	51	in	in	ADP
ejpam-5404	378	52	=	=	ADJ
ejpam-5404	378	53	20	20	NUM
ejpam-5404	378	54	(	(	PUNCT
ejpam-5404	378	55	a	a	NOUN
ejpam-5404	378	56	)	)	PUNCT
ejpam-5404	378	57	0	0	NUM
ejpam-5404	378	58	20	20	NUM
ejpam-5404	378	59	40	40	NUM
ejpam-5404	378	60	60	60	NUM
ejpam-5404	378	61	80	80	NUM
ejpam-5404	378	62	100	100	NUM
ejpam-5404	378	63	120	120	NUM
ejpam-5404	378	64	140	140	NUM
ejpam-5404	378	65	160	160	NUM
ejpam-5404	378	66	180	180	NUM
ejpam-5404	378	67	200	200	NUM
ejpam-5404	378	68	time	time	NOUN
ejpam-5404	378	69	20	20	NUM
ejpam-5404	378	70	40	40	NUM
ejpam-5404	378	71	60	60	NUM
ejpam-5404	378	72	80	80	NUM
ejpam-5404	378	73	100	100	NUM
ejpam-5404	378	74	120	120	NUM
ejpam-5404	378	75	140	140	NUM
ejpam-5404	378	76	m	m	NOUN
ejpam-5404	378	77	e	e	NOUN
ejpam-5404	378	78	a	a	PRON
ejpam-5404	378	79	n	n	PRON
ejpam-5404	378	80	g	g	NOUN
ejpam-5404	378	81	mean	mean	VERB
ejpam-5404	378	82	g	g	PROPN
ejpam-5404	378	83	for	for	ADP
ejpam-5404	378	84	i	i	PRON
ejpam-5404	378	85	in	in	ADP
ejpam-5404	378	86	=	=	NUM
ejpam-5404	378	87	10	10	NUM
ejpam-5404	378	88	(	(	PUNCT
ejpam-5404	378	89	b	b	NOUN
ejpam-5404	378	90	)	)	PUNCT
ejpam-5404	378	91	0	0	NUM
ejpam-5404	378	92	20	20	NUM
ejpam-5404	378	93	40	40	NUM
ejpam-5404	378	94	60	60	NUM
ejpam-5404	378	95	80	80	NUM
ejpam-5404	378	96	100	100	NUM
ejpam-5404	378	97	120	120	NUM
ejpam-5404	378	98	140	140	NUM
ejpam-5404	378	99	160	160	NUM
ejpam-5404	378	100	180	180	NUM
ejpam-5404	378	101	200	200	NUM
ejpam-5404	378	102	time	time	NOUN
ejpam-5404	378	103	20	20	NUM
ejpam-5404	378	104	40	40	NUM
ejpam-5404	378	105	60	60	NUM
ejpam-5404	378	106	80	80	NUM
ejpam-5404	378	107	100	100	NUM
ejpam-5404	378	108	120	120	NUM
ejpam-5404	378	109	140	140	NUM
ejpam-5404	378	110	160	160	NUM
ejpam-5404	378	111	m	m	NOUN
ejpam-5404	378	112	e	e	NOUN
ejpam-5404	378	113	a	a	PRON
ejpam-5404	378	114	n	n	PRON
ejpam-5404	378	115	g	g	NOUN
ejpam-5404	378	116	mean	mean	VERB
ejpam-5404	378	117	g	g	PROPN
ejpam-5404	378	118	for	for	ADP
ejpam-5404	378	119	i	i	PRON
ejpam-5404	378	120	in	in	ADP
ejpam-5404	378	121	=	=	ADJ
ejpam-5404	378	122	5	5	NUM
ejpam-5404	378	123	(	(	PUNCT
ejpam-5404	378	124	c	c	NOUN
ejpam-5404	378	125	)	)	PUNCT
ejpam-5404	378	126	0	0	NUM
ejpam-5404	378	127	20	20	NUM
ejpam-5404	378	128	40	40	NUM
ejpam-5404	378	129	60	60	NUM
ejpam-5404	378	130	80	80	NUM
ejpam-5404	378	131	100	100	NUM
ejpam-5404	378	132	120	120	NUM
ejpam-5404	378	133	140	140	NUM
ejpam-5404	378	134	160	160	NUM
ejpam-5404	378	135	180	180	NUM
ejpam-5404	378	136	200	200	NUM
ejpam-5404	378	137	time	time	NOUN
ejpam-5404	378	138	40	40	NUM
ejpam-5404	378	139	50	50	NUM
ejpam-5404	378	140	60	60	NUM
ejpam-5404	378	141	70	70	NUM
ejpam-5404	378	142	80	80	NUM
ejpam-5404	378	143	90	90	NUM
ejpam-5404	378	144	100	100	NUM
ejpam-5404	378	145	110	110	NUM
ejpam-5404	378	146	120	120	NUM
ejpam-5404	378	147	130	130	NUM
ejpam-5404	378	148	140	140	NUM
ejpam-5404	378	149	m	m	NOUN
ejpam-5404	378	150	e	e	NOUN
ejpam-5404	378	151	a	a	PRON
ejpam-5404	378	152	n	n	PRON
ejpam-5404	378	153	g	g	NOUN
ejpam-5404	378	154	mean	mean	VERB
ejpam-5404	378	155	g	g	PROPN
ejpam-5404	378	156	for	for	ADP
ejpam-5404	378	157	i	i	PRON
ejpam-5404	378	158	in	in	ADP
ejpam-5404	378	159	=	=	X
ejpam-5404	378	160	0	0	PUNCT
ejpam-5404	378	161	(	(	PUNCT
ejpam-5404	378	162	d	d	NOUN
ejpam-5404	378	163	)	)	PUNCT
ejpam-5404	378	164	figure	figure	NOUN
ejpam-5404	378	165	1	1	NUM
ejpam-5404	378	166	:	:	PUNCT
ejpam-5404	378	167	mean	mean	VERB
ejpam-5404	378	168	for	for	ADP
ejpam-5404	378	169	g	g	NOUN
ejpam-5404	378	170	,	,	PUNCT
ejpam-5404	378	171	for	for	ADP
ejpam-5404	378	172	different	different	ADJ
ejpam-5404	378	173	values	value	NOUN
ejpam-5404	378	174	of	of	ADP
ejpam-5404	378	175	iin	iin	PROPN
ejpam-5404	378	176	.	.	PUNCT
ejpam-5404	379	1	s.	s.	PROPN
ejpam-5404	379	2	m.	m.	PROPN
ejpam-5404	379	3	alzahrani	alzahrani	PROPN
ejpam-5404	379	4	/	/	SYM
ejpam-5404	379	5	eur	eur	PROPN
ejpam-5404	379	6	.	.	PUNCT
ejpam-5404	380	1	j.	j.	PROPN
ejpam-5404	380	2	pure	pure	PROPN
ejpam-5404	380	3	appl	appl	PROPN
ejpam-5404	380	4	.	.	PROPN
ejpam-5404	380	5	math	math	PROPN
ejpam-5404	380	6	,	,	PUNCT
ejpam-5404	380	7	18	18	NUM
ejpam-5404	380	8	(	(	PUNCT
ejpam-5404	380	9	1	1	NUM
ejpam-5404	380	10	)	)	PUNCT
ejpam-5404	380	11	(	(	PUNCT
ejpam-5404	380	12	2025	2025	NUM
ejpam-5404	380	13	)	)	PUNCT
ejpam-5404	380	14	,	,	PUNCT
ejpam-5404	380	15	5404	5404	NUM
ejpam-5404	380	16	16	16	NUM
ejpam-5404	380	17	of	of	ADP
ejpam-5404	380	18	22	22	NUM
ejpam-5404	380	19	0	0	NUM
ejpam-5404	380	20	20	20	NUM
ejpam-5404	380	21	40	40	NUM
ejpam-5404	380	22	60	60	NUM
ejpam-5404	380	23	80	80	NUM
ejpam-5404	380	24	100	100	NUM
ejpam-5404	380	25	120	120	NUM
ejpam-5404	380	26	140	140	NUM
ejpam-5404	380	27	160	160	NUM
ejpam-5404	380	28	180	180	NUM
ejpam-5404	380	29	200	200	NUM
ejpam-5404	380	30	time	time	NOUN
ejpam-5404	380	31	0	0	NUM
ejpam-5404	380	32	0.5	0.5	NUM
ejpam-5404	380	33	1	1	NUM
ejpam-5404	380	34	1.5	1.5	NUM
ejpam-5404	380	35	2	2	NUM
ejpam-5404	380	36	2.5	2.5	NUM
ejpam-5404	380	37	3	3	NUM
ejpam-5404	380	38	3.5	3.5	NUM
ejpam-5404	380	39	4	4	NUM
ejpam-5404	380	40	v	v	ADP
ejpam-5404	380	41	a	a	DET
ejpam-5404	380	42	ri	ri	NOUN
ejpam-5404	380	43	a	a	DET
ejpam-5404	380	44	n	n	NOUN
ejpam-5404	380	45	c	c	NOUN
ejpam-5404	380	46	e	e	NOUN
ejpam-5404	380	47	g	g	PROPN
ejpam-5404	380	48	10	10	NUM
ejpam-5404	380	49	5	5	NUM
ejpam-5404	380	50	variance	variance	NOUN
ejpam-5404	380	51	g	g	NOUN
ejpam-5404	380	52	for	for	ADP
ejpam-5404	380	53	i	i	PRON
ejpam-5404	380	54	in	in	ADP
ejpam-5404	380	55	=	=	ADJ
ejpam-5404	380	56	20	20	NUM
ejpam-5404	380	57	(	(	PUNCT
ejpam-5404	380	58	a	a	NOUN
ejpam-5404	380	59	)	)	PUNCT
ejpam-5404	380	60	0	0	NUM
ejpam-5404	380	61	20	20	NUM
ejpam-5404	380	62	40	40	NUM
ejpam-5404	380	63	60	60	NUM
ejpam-5404	380	64	80	80	NUM
ejpam-5404	380	65	100	100	NUM
ejpam-5404	380	66	120	120	NUM
ejpam-5404	380	67	140	140	NUM
ejpam-5404	380	68	160	160	NUM
ejpam-5404	380	69	180	180	NUM
ejpam-5404	380	70	200	200	NUM
ejpam-5404	380	71	time	time	NOUN
ejpam-5404	380	72	0	0	NUM
ejpam-5404	380	73	2	2	NUM
ejpam-5404	380	74	4	4	NUM
ejpam-5404	380	75	6	6	NUM
ejpam-5404	380	76	8	8	NUM
ejpam-5404	380	77	10	10	NUM
ejpam-5404	380	78	12	12	NUM
ejpam-5404	380	79	14	14	NUM
ejpam-5404	380	80	v	v	ADP
ejpam-5404	380	81	a	a	DET
ejpam-5404	380	82	ri	ri	NOUN
ejpam-5404	380	83	a	a	DET
ejpam-5404	380	84	n	n	NOUN
ejpam-5404	380	85	c	c	NOUN
ejpam-5404	380	86	e	e	NOUN
ejpam-5404	380	87	g	g	PROPN
ejpam-5404	380	88	10	10	NUM
ejpam-5404	380	89	4	4	NUM
ejpam-5404	380	90	variance	variance	NOUN
ejpam-5404	380	91	g	g	NOUN
ejpam-5404	380	92	for	for	ADP
ejpam-5404	380	93	i	i	PRON
ejpam-5404	380	94	in	in	ADP
ejpam-5404	380	95	=	=	NUM
ejpam-5404	380	96	10	10	NUM
ejpam-5404	380	97	(	(	PUNCT
ejpam-5404	380	98	b	b	NOUN
ejpam-5404	380	99	)	)	PUNCT
ejpam-5404	380	100	0	0	NUM
ejpam-5404	380	101	20	20	NUM
ejpam-5404	380	102	40	40	NUM
ejpam-5404	380	103	60	60	NUM
ejpam-5404	380	104	80	80	NUM
ejpam-5404	380	105	100	100	NUM
ejpam-5404	380	106	120	120	NUM
ejpam-5404	380	107	140	140	NUM
ejpam-5404	380	108	160	160	NUM
ejpam-5404	380	109	180	180	NUM
ejpam-5404	380	110	200	200	NUM
ejpam-5404	380	111	time	time	NOUN
ejpam-5404	380	112	0	0	NUM
ejpam-5404	380	113	1	1	NUM
ejpam-5404	380	114	2	2	NUM
ejpam-5404	380	115	3	3	NUM
ejpam-5404	380	116	4	4	NUM
ejpam-5404	380	117	5	5	NUM
ejpam-5404	380	118	6	6	NUM
ejpam-5404	380	119	v	v	NOUN
ejpam-5404	380	120	a	a	DET
ejpam-5404	380	121	ri	ri	NOUN
ejpam-5404	380	122	a	a	DET
ejpam-5404	380	123	n	n	NOUN
ejpam-5404	380	124	c	c	NOUN
ejpam-5404	380	125	e	e	NOUN
ejpam-5404	380	126	g	g	PROPN
ejpam-5404	380	127	10	10	NUM
ejpam-5404	380	128	5	5	NUM
ejpam-5404	380	129	variance	variance	NOUN
ejpam-5404	380	130	g	g	NOUN
ejpam-5404	380	131	for	for	ADP
ejpam-5404	380	132	i	i	PRON
ejpam-5404	380	133	in	in	ADP
ejpam-5404	380	134	=	=	ADJ
ejpam-5404	380	135	5	5	NUM
ejpam-5404	380	136	(	(	PUNCT
ejpam-5404	380	137	c	c	NOUN
ejpam-5404	380	138	)	)	PUNCT
ejpam-5404	380	139	0	0	NUM
ejpam-5404	380	140	20	20	NUM
ejpam-5404	380	141	40	40	NUM
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ejpam-5404	380	145	120	120	NUM
ejpam-5404	380	146	140	140	NUM
ejpam-5404	380	147	160	160	NUM
ejpam-5404	380	148	180	180	NUM
ejpam-5404	380	149	200	200	NUM
ejpam-5404	380	150	time	time	NOUN
ejpam-5404	380	151	0	0	NUM
ejpam-5404	380	152	1	1	NUM
ejpam-5404	380	153	2	2	NUM
ejpam-5404	380	154	3	3	NUM
ejpam-5404	380	155	4	4	NUM
ejpam-5404	380	156	5	5	NUM
ejpam-5404	380	157	6	6	NUM
ejpam-5404	380	158	7	7	NUM
ejpam-5404	380	159	8	8	NUM
ejpam-5404	380	160	9	9	NUM
ejpam-5404	380	161	10	10	NUM
ejpam-5404	380	162	v	v	NOUN
ejpam-5404	380	163	a	a	DET
ejpam-5404	380	164	ri	ri	NOUN
ejpam-5404	380	165	a	a	DET
ejpam-5404	380	166	n	n	NOUN
ejpam-5404	380	167	c	c	NOUN
ejpam-5404	380	168	e	e	NOUN
ejpam-5404	380	169	g	g	PROPN
ejpam-5404	380	170	10	10	NUM
ejpam-5404	380	171	4	4	NUM
ejpam-5404	380	172	variance	variance	NOUN
ejpam-5404	380	173	g	g	NOUN
ejpam-5404	380	174	for	for	ADP
ejpam-5404	380	175	i	i	PRON
ejpam-5404	380	176	in	in	ADP
ejpam-5404	380	177	=	=	X
ejpam-5404	380	178	0	0	PUNCT
ejpam-5404	381	1	(	(	PUNCT
ejpam-5404	381	2	d	d	NOUN
ejpam-5404	381	3	)	)	PUNCT
ejpam-5404	381	4	figure	figure	NOUN
ejpam-5404	381	5	2	2	NUM
ejpam-5404	381	6	:	:	PUNCT
ejpam-5404	381	7	mean	mean	VERB
ejpam-5404	381	8	for	for	ADP
ejpam-5404	381	9	g	g	NOUN
ejpam-5404	381	10	,	,	PUNCT
ejpam-5404	381	11	for	for	ADP
ejpam-5404	381	12	different	different	ADJ
ejpam-5404	381	13	values	value	NOUN
ejpam-5404	381	14	of	of	ADP
ejpam-5404	381	15	iin	iin	PROPN
ejpam-5404	381	16	.	.	PUNCT
ejpam-5404	382	1	9	9	NUM
ejpam-5404	382	2	9.5	9.5	NUM
ejpam-5404	382	3	10	10	NUM
ejpam-5404	382	4	10.5	10.5	NUM
ejpam-5404	382	5	11	11	NUM
ejpam-5404	382	6	11.5	11.5	NUM
ejpam-5404	382	7	12	12	NUM
ejpam-5404	382	8	12.5	12.5	NUM
ejpam-5404	382	9	13	13	NUM
ejpam-5404	382	10	log	log	NOUN
ejpam-5404	382	11	2	2	NUM
ejpam-5404	382	12	(	(	PUNCT
ejpam-5404	382	13	n	n	CCONJ
ejpam-5404	382	14	)	)	PUNCT
ejpam-5404	382	15	131.327	131.327	NUM
ejpam-5404	382	16	131.3275	131.3275	NUM
ejpam-5404	382	17	131.328	131.328	NUM
ejpam-5404	382	18	131.3285	131.3285	NUM
ejpam-5404	382	19	131.329	131.329	NUM
ejpam-5404	382	20	131.3295	131.3295	NUM
ejpam-5404	382	21	131.33	131.33	NUM
ejpam-5404	382	22	m	m	NOUN
ejpam-5404	382	23	e	e	NOUN
ejpam-5404	382	24	a	a	NOUN
ejpam-5404	382	25	n	n	NOUN
ejpam-5404	382	26	o	o	NOUN
ejpam-5404	382	27	f	f	NOUN
ejpam-5404	382	28	g	g	NOUN
ejpam-5404	382	29	mean	mean	VERB
ejpam-5404	382	30	and	and	CCONJ
ejpam-5404	382	31	confidence	confidence	NOUN
ejpam-5404	382	32	interval	interval	NOUN
ejpam-5404	382	33	of	of	ADP
ejpam-5404	382	34	g	g	PROPN
ejpam-5404	382	35	(	(	PUNCT
ejpam-5404	382	36	a	a	NOUN
ejpam-5404	382	37	)	)	PUNCT
ejpam-5404	382	38	9	9	NUM
ejpam-5404	382	39	9.5	9.5	NUM
ejpam-5404	382	40	10	10	NUM
ejpam-5404	382	41	10.5	10.5	NUM
ejpam-5404	382	42	11	11	NUM
ejpam-5404	382	43	11.5	11.5	NUM
ejpam-5404	382	44	12	12	NUM
ejpam-5404	382	45	12.5	12.5	NUM
ejpam-5404	382	46	13	13	NUM
ejpam-5404	382	47	log	log	NOUN
ejpam-5404	382	48	2	2	NUM
ejpam-5404	382	49	(	(	PUNCT
ejpam-5404	382	50	n	n	CCONJ
ejpam-5404	382	51	)	)	PUNCT
ejpam-5404	382	52	21.996	21.996	NUM
ejpam-5404	383	1	21.998	21.998	NUM
ejpam-5404	383	2	22	22	NUM
ejpam-5404	383	3	22.002	22.002	NUM
ejpam-5404	384	1	22.004	22.004	NUM
ejpam-5404	384	2	22.006	22.006	NUM
ejpam-5404	384	3	22.008	22.008	NUM
ejpam-5404	384	4	m	m	NOUN
ejpam-5404	384	5	e	e	NOUN
ejpam-5404	384	6	a	a	NOUN
ejpam-5404	384	7	n	n	NOUN
ejpam-5404	384	8	o	o	NOUN
ejpam-5404	384	9	f	f	NOUN
ejpam-5404	385	1	i	i	PRON
ejpam-5404	385	2	mean	mean	VERB
ejpam-5404	385	3	and	and	CCONJ
ejpam-5404	385	4	confidence	confidence	NOUN
ejpam-5404	385	5	interval	interval	NOUN
ejpam-5404	385	6	of	of	ADP
ejpam-5404	385	7	i	i	PRON
ejpam-5404	385	8	(	(	PUNCT
ejpam-5404	385	9	b	b	NOUN
ejpam-5404	385	10	)	)	PUNCT
ejpam-5404	385	11	figure	figure	NOUN
ejpam-5404	385	12	3	3	NUM
ejpam-5404	385	13	:	:	PUNCT
ejpam-5404	385	14	mean	mean	VERB
ejpam-5404	385	15	for	for	ADP
ejpam-5404	385	16	g	g	NOUN
ejpam-5404	385	17	,	,	PUNCT
ejpam-5404	385	18	for	for	ADP
ejpam-5404	385	19	different	different	ADJ
ejpam-5404	385	20	values	value	NOUN
ejpam-5404	385	21	of	of	ADP
ejpam-5404	385	22	iin	iin	PROPN
ejpam-5404	385	23	.	.	PUNCT
ejpam-5404	386	1	the	the	DET
ejpam-5404	386	2	results	result	NOUN
ejpam-5404	386	3	of	of	ADP
ejpam-5404	386	4	the	the	DET
ejpam-5404	386	5	milstein	milstein	ADJ
ejpam-5404	386	6	method	method	NOUN
ejpam-5404	386	7	applied	apply	VERB
ejpam-5404	386	8	to	to	ADP
ejpam-5404	386	9	the	the	DET
ejpam-5404	386	10	model	model	NOUN
ejpam-5404	386	11	describe	describe	VERB
ejpam-5404	386	12	the	the	DET
ejpam-5404	386	13	dynamics	dynamic	NOUN
ejpam-5404	386	14	of	of	ADP
ejpam-5404	386	15	glucose	glucose	NOUN
ejpam-5404	386	16	(	(	PUNCT
ejpam-5404	386	17	g	g	NOUN
ejpam-5404	386	18	)	)	PUNCT
ejpam-5404	386	19	and	and	CCONJ
ejpam-5404	386	20	insulin	insulin	NOUN
ejpam-5404	386	21	(	(	PUNCT
ejpam-5404	386	22	i	i	NOUN
ejpam-5404	386	23	)	)	PUNCT
ejpam-5404	386	24	levels	level	NOUN
ejpam-5404	386	25	over	over	ADP
ejpam-5404	386	26	time	time	NOUN
ejpam-5404	386	27	.	.	PUNCT
ejpam-5404	387	1	the	the	DET
ejpam-5404	387	2	simulations	simulation	NOUN
ejpam-5404	387	3	were	be	AUX
ejpam-5404	387	4	performed	perform	VERB
ejpam-5404	387	5	for	for	ADP
ejpam-5404	387	6	varying	vary	VERB
ejpam-5404	387	7	subintervals	subinterval	NOUN
ejpam-5404	387	8	n	n	CCONJ
ejpam-5404	387	9	and	and	CCONJ
ejpam-5404	387	10	10	10	NUM
ejpam-5404	387	11	,	,	PUNCT
ejpam-5404	387	12	000	000	NUM
ejpam-5404	387	13	sample	sample	NOUN
ejpam-5404	387	14	paths	path	NOUN
ejpam-5404	387	15	to	to	PART
ejpam-5404	387	16	estimate	estimate	VERB
ejpam-5404	387	17	the	the	DET
ejpam-5404	387	18	mean	mean	ADJ
ejpam-5404	387	19	values	value	NOUN
ejpam-5404	387	20	and	and	CCONJ
ejpam-5404	387	21	confidence	confidence	NOUN
ejpam-5404	387	22	s.	s.	PROPN
ejpam-5404	387	23	m.	m.	PROPN
ejpam-5404	387	24	alzahrani	alzahrani	PROPN
ejpam-5404	387	25	/	/	SYM
ejpam-5404	387	26	eur	eur	PROPN
ejpam-5404	387	27	.	.	PUNCT
ejpam-5404	388	1	j.	j.	PROPN
ejpam-5404	388	2	pure	pure	PROPN
ejpam-5404	388	3	appl	appl	PROPN
ejpam-5404	388	4	.	.	PROPN
ejpam-5404	388	5	math	math	PROPN
ejpam-5404	388	6	,	,	PUNCT
ejpam-5404	388	7	18	18	NUM
ejpam-5404	388	8	(	(	PUNCT
ejpam-5404	388	9	1	1	NUM
ejpam-5404	388	10	)	)	PUNCT
ejpam-5404	388	11	(	(	PUNCT
ejpam-5404	388	12	2025	2025	NUM
ejpam-5404	388	13	)	)	PUNCT
ejpam-5404	388	14	,	,	PUNCT
ejpam-5404	388	15	5404	5404	NUM
ejpam-5404	388	16	17	17	NUM
ejpam-5404	388	17	of	of	ADP
ejpam-5404	388	18	22	22	NUM
ejpam-5404	388	19	intervals	interval	NOUN
ejpam-5404	388	20	for	for	ADP
ejpam-5404	388	21	g	g	PROPN
ejpam-5404	388	22	and	and	CCONJ
ejpam-5404	388	23	i	i	PRON
ejpam-5404	388	24	at	at	ADP
ejpam-5404	388	25	t	t	PROPN
ejpam-5404	388	26	=	=	SYM
ejpam-5404	388	27	1	1	X
ejpam-5404	388	28	.	.	PUNCT
ejpam-5404	389	1	the	the	DET
ejpam-5404	389	2	mean	mean	ADJ
ejpam-5404	389	3	values	value	NOUN
ejpam-5404	389	4	for	for	ADP
ejpam-5404	389	5	g	g	PROPN
ejpam-5404	389	6	and	and	CCONJ
ejpam-5404	389	7	i	i	PRON
ejpam-5404	389	8	across	across	ADP
ejpam-5404	389	9	the	the	DET
ejpam-5404	389	10	different	different	ADJ
ejpam-5404	389	11	values	value	NOUN
ejpam-5404	389	12	of	of	ADP
ejpam-5404	389	13	n	n	NUM
ejpam-5404	389	14	were	be	AUX
ejpam-5404	389	15	computed	compute	VERB
ejpam-5404	389	16	,	,	PUNCT
ejpam-5404	389	17	see	see	VERB
ejpam-5404	389	18	figures	figure	NOUN
ejpam-5404	389	19	1	1	NUM
ejpam-5404	389	20	-	-	SYM
ejpam-5404	389	21	3	3	NUM
ejpam-5404	389	22	.	.	PUNCT
ejpam-5404	390	1	that	that	PRON
ejpam-5404	390	2	is	be	AUX
ejpam-5404	390	3	the	the	DET
ejpam-5404	390	4	average	average	ADJ
ejpam-5404	390	5	behavior	behavior	NOUN
ejpam-5404	390	6	of	of	ADP
ejpam-5404	390	7	the	the	DET
ejpam-5404	390	8	system	system	NOUN
ejpam-5404	390	9	under	under	ADP
ejpam-5404	390	10	stochastic	stochastic	ADJ
ejpam-5404	390	11	perturbations	perturbation	NOUN
ejpam-5404	390	12	is	be	AUX
ejpam-5404	390	13	obtained	obtain	VERB
ejpam-5404	390	14	.	.	PUNCT
ejpam-5404	391	1	the	the	DET
ejpam-5404	391	2	results	result	NOUN
ejpam-5404	391	3	indicate	indicate	VERB
ejpam-5404	391	4	that	that	SCONJ
ejpam-5404	391	5	as	as	ADP
ejpam-5404	391	6	n	n	ADP
ejpam-5404	391	7	increases	increase	NOUN
ejpam-5404	391	8	,	,	PUNCT
ejpam-5404	391	9	the	the	DET
ejpam-5404	391	10	mean	mean	ADJ
ejpam-5404	391	11	values	value	NOUN
ejpam-5404	391	12	converge	converge	VERB
ejpam-5404	391	13	,	,	PUNCT
ejpam-5404	391	14	suggesting	suggest	VERB
ejpam-5404	391	15	that	that	SCONJ
ejpam-5404	391	16	the	the	DET
ejpam-5404	391	17	estimates	estimate	NOUN
ejpam-5404	391	18	are	be	AUX
ejpam-5404	391	19	stabilizing	stabilize	VERB
ejpam-5404	391	20	with	with	ADP
ejpam-5404	391	21	finer	fine	ADJ
ejpam-5404	391	22	discretization	discretization	NOUN
ejpam-5404	391	23	.	.	PUNCT
ejpam-5404	392	1	this	this	DET
ejpam-5404	392	2	behavior	behavior	NOUN
ejpam-5404	392	3	is	be	AUX
ejpam-5404	392	4	consistent	consistent	ADJ
ejpam-5404	392	5	with	with	ADP
ejpam-5404	392	6	the	the	DET
ejpam-5404	392	7	expectations	expectation	NOUN
ejpam-5404	392	8	from	from	ADP
ejpam-5404	392	9	numerical	numerical	ADJ
ejpam-5404	392	10	methods	method	NOUN
ejpam-5404	392	11	applied	apply	VERB
ejpam-5404	392	12	to	to	ADP
ejpam-5404	392	13	stochastic	stochastic	ADJ
ejpam-5404	392	14	differential	differential	ADJ
ejpam-5404	392	15	equations	equation	NOUN
ejpam-5404	392	16	.	.	PUNCT
ejpam-5404	393	1	confidence	confidence	NOUN
ejpam-5404	393	2	intervals	interval	NOUN
ejpam-5404	393	3	for	for	ADP
ejpam-5404	393	4	the	the	DET
ejpam-5404	393	5	mean	mean	ADJ
ejpam-5404	393	6	values	value	NOUN
ejpam-5404	393	7	of	of	ADP
ejpam-5404	393	8	g	g	PROPN
ejpam-5404	393	9	and	and	CCONJ
ejpam-5404	393	10	i	i	PRON
ejpam-5404	393	11	provide	provide	VERB
ejpam-5404	393	12	a	a	DET
ejpam-5404	393	13	measure	measure	NOUN
ejpam-5404	393	14	of	of	ADP
ejpam-5404	393	15	uncertainty	uncertainty	NOUN
ejpam-5404	393	16	around	around	ADP
ejpam-5404	393	17	the	the	DET
ejpam-5404	393	18	estimates	estimate	NOUN
ejpam-5404	393	19	.	.	PUNCT
ejpam-5404	394	1	the	the	DET
ejpam-5404	394	2	intervals	interval	NOUN
ejpam-5404	394	3	were	be	AUX
ejpam-5404	394	4	calculated	calculate	VERB
ejpam-5404	394	5	using	use	VERB
ejpam-5404	394	6	the	the	DET
ejpam-5404	394	7	t	t	NOUN
ejpam-5404	394	8	-	-	PUNCT
ejpam-5404	394	9	distribution	distribution	NOUN
ejpam-5404	394	10	,	,	PUNCT
ejpam-5404	394	11	accounting	account	VERB
ejpam-5404	394	12	for	for	ADP
ejpam-5404	394	13	the	the	DET
ejpam-5404	394	14	number	number	NOUN
ejpam-5404	394	15	of	of	ADP
ejpam-5404	394	16	sample	sample	NOUN
ejpam-5404	394	17	paths	path	NOUN
ejpam-5404	394	18	(	(	PUNCT
ejpam-5404	394	19	m	m	NOUN
ejpam-5404	394	20	=	=	NOUN
ejpam-5404	394	21	10	10	NUM
ejpam-5404	394	22	,	,	PUNCT
ejpam-5404	394	23	000	000	NUM
ejpam-5404	394	24	)	)	PUNCT
ejpam-5404	394	25	.	.	PUNCT
ejpam-5404	395	1	the	the	DET
ejpam-5404	395	2	results	result	NOUN
ejpam-5404	395	3	demonstrate	demonstrate	VERB
ejpam-5404	395	4	that	that	SCONJ
ejpam-5404	395	5	even	even	ADV
ejpam-5404	395	6	with	with	ADP
ejpam-5404	395	7	high	high	ADJ
ejpam-5404	395	8	variability	variability	NOUN
ejpam-5404	395	9	in	in	ADP
ejpam-5404	395	10	the	the	DET
ejpam-5404	395	11	individual	individual	ADJ
ejpam-5404	395	12	sample	sample	NOUN
ejpam-5404	395	13	paths	path	NOUN
ejpam-5404	395	14	,	,	PUNCT
ejpam-5404	395	15	the	the	DET
ejpam-5404	395	16	mean	mean	NOUN
ejpam-5404	395	17	estimates	estimate	NOUN
ejpam-5404	395	18	remain	remain	VERB
ejpam-5404	395	19	robust	robust	ADJ
ejpam-5404	395	20	,	,	PUNCT
ejpam-5404	395	21	with	with	ADP
ejpam-5404	395	22	the	the	DET
ejpam-5404	395	23	confidence	confidence	NOUN
ejpam-5404	395	24	intervals	interval	NOUN
ejpam-5404	395	25	narrowing	narrow	VERB
ejpam-5404	395	26	as	as	ADP
ejpam-5404	395	27	n	n	ADP
ejpam-5404	395	28	increases	increase	NOUN
ejpam-5404	395	29	.	.	PUNCT
ejpam-5404	396	1	the	the	DET
ejpam-5404	396	2	findings	finding	NOUN
ejpam-5404	396	3	emphasize	emphasize	VERB
ejpam-5404	396	4	the	the	DET
ejpam-5404	396	5	importance	importance	NOUN
ejpam-5404	396	6	of	of	ADP
ejpam-5404	396	7	using	use	VERB
ejpam-5404	396	8	sufficient	sufficient	ADJ
ejpam-5404	396	9	sample	sample	NOUN
ejpam-5404	396	10	paths	path	NOUN
ejpam-5404	396	11	and	and	CCONJ
ejpam-5404	396	12	smaller	small	ADJ
ejpam-5404	396	13	time	time	NOUN
ejpam-5404	396	14	steps	step	NOUN
ejpam-5404	396	15	in	in	ADP
ejpam-5404	396	16	stochastic	stochastic	ADJ
ejpam-5404	396	17	modeling	modeling	NOUN
ejpam-5404	396	18	to	to	PART
ejpam-5404	396	19	achieve	achieve	VERB
ejpam-5404	396	20	reliable	reliable	ADJ
ejpam-5404	396	21	estimates	estimate	NOUN
ejpam-5404	396	22	.	.	PUNCT
ejpam-5404	397	1	the	the	DET
ejpam-5404	397	2	narrowing	narrowing	NOUN
ejpam-5404	397	3	of	of	ADP
ejpam-5404	397	4	confidence	confidence	NOUN
ejpam-5404	397	5	intervals	interval	NOUN
ejpam-5404	397	6	with	with	ADP
ejpam-5404	397	7	increasing	increase	VERB
ejpam-5404	397	8	n	n	PROPN
ejpam-5404	397	9	illustrates	illustrate	VERB
ejpam-5404	397	10	the	the	DET
ejpam-5404	397	11	convergence	convergence	NOUN
ejpam-5404	397	12	of	of	ADP
ejpam-5404	397	13	the	the	DET
ejpam-5404	397	14	milstein	milstein	NOUN
ejpam-5404	397	15	approximation	approximation	NOUN
ejpam-5404	397	16	,	,	PUNCT
ejpam-5404	397	17	reinforcing	reinforce	VERB
ejpam-5404	397	18	its	its	PRON
ejpam-5404	397	19	validity	validity	NOUN
ejpam-5404	397	20	in	in	ADP
ejpam-5404	397	21	simulating	simulate	VERB
ejpam-5404	397	22	biological	biological	ADJ
ejpam-5404	397	23	systems	system	NOUN
ejpam-5404	397	24	influenced	influence	VERB
ejpam-5404	397	25	by	by	ADP
ejpam-5404	397	26	randomness	randomness	NOUN
ejpam-5404	397	27	.	.	PUNCT
ejpam-5404	398	1	the	the	DET
ejpam-5404	398	2	milstein	milstein	ADJ
ejpam-5404	398	3	method	method	NOUN
ejpam-5404	398	4	proved	prove	VERB
ejpam-5404	398	5	effective	effective	ADJ
ejpam-5404	398	6	in	in	ADP
ejpam-5404	398	7	capturing	capture	VERB
ejpam-5404	398	8	the	the	DET
ejpam-5404	398	9	dynamics	dynamic	NOUN
ejpam-5404	398	10	of	of	ADP
ejpam-5404	398	11	glucose	glucose	NOUN
ejpam-5404	398	12	and	and	CCONJ
ejpam-5404	398	13	insulin	insulin	NOUN
ejpam-5404	398	14	interactions	interaction	NOUN
ejpam-5404	398	15	,	,	PUNCT
ejpam-5404	398	16	offering	offer	VERB
ejpam-5404	398	17	insights	insight	NOUN
ejpam-5404	398	18	into	into	ADP
ejpam-5404	398	19	their	their	PRON
ejpam-5404	398	20	expected	expect	VERB
ejpam-5404	398	21	levels	level	NOUN
ejpam-5404	398	22	over	over	ADP
ejpam-5404	398	23	time	time	NOUN
ejpam-5404	398	24	while	while	SCONJ
ejpam-5404	398	25	acknowledging	acknowledge	VERB
ejpam-5404	398	26	the	the	DET
ejpam-5404	398	27	inherent	inherent	ADJ
ejpam-5404	398	28	uncertainty	uncertainty	NOUN
ejpam-5404	398	29	in	in	ADP
ejpam-5404	398	30	biological	biological	ADJ
ejpam-5404	398	31	systems	system	NOUN
ejpam-5404	398	32	.	.	PUNCT
ejpam-5404	399	1	8	8	X
ejpam-5404	399	2	.	.	X
ejpam-5404	399	3	comparison	comparison	NOUN
ejpam-5404	399	4	of	of	ADP
ejpam-5404	399	5	stochastic	stochastic	ADJ
ejpam-5404	399	6	and	and	CCONJ
ejpam-5404	399	7	deterministic	deterministic	ADJ
ejpam-5404	399	8	model	model	NOUN
ejpam-5404	399	9	by	by	ADP
ejpam-5404	399	10	applying	apply	VERB
ejpam-5404	399	11	the	the	DET
ejpam-5404	399	12	milstein	milstein	ADJ
ejpam-5404	399	13	method	method	NOUN
ejpam-5404	399	14	,	,	PUNCT
ejpam-5404	399	15	one	one	PRON
ejpam-5404	399	16	obtains	obtain	VERB
ejpam-5404	399	17	the	the	DET
ejpam-5404	399	18	compaision	compaision	NOUN
ejpam-5404	399	19	between	between	ADP
ejpam-5404	399	20	the	the	DET
ejpam-5404	399	21	determinsitic	determinsitic	ADJ
ejpam-5404	399	22	system	system	NOUN
ejpam-5404	399	23	(	(	PUNCT
ejpam-5404	399	24	1	1	NUM
ejpam-5404	399	25	)	)	PUNCT
ejpam-5404	399	26	and	and	CCONJ
ejpam-5404	399	27	stochastic	stochastic	ADJ
ejpam-5404	399	28	system	system	NOUN
ejpam-5404	399	29	(	(	PUNCT
ejpam-5404	399	30	2	2	NUM
ejpam-5404	399	31	)	)	PUNCT
ejpam-5404	399	32	with	with	ADP
ejpam-5404	399	33	different	different	ADJ
ejpam-5404	399	34	noises	noise	NOUN
ejpam-5404	399	35	for	for	ADP
ejpam-5404	399	36	differenet	differenet	PROPN
ejpam-5404	399	37	values	value	NOUN
ejpam-5404	399	38	of	of	ADP
ejpam-5404	399	39	iin	iin	NOUN
ejpam-5404	399	40	=	=	PUNCT
ejpam-5404	399	41	0	0	NUM
ejpam-5404	399	42	,	,	PUNCT
ejpam-5404	399	43	5	5	NUM
ejpam-5404	399	44	,	,	PUNCT
ejpam-5404	399	45	10	10	NUM
ejpam-5404	399	46	,	,	PUNCT
ejpam-5404	399	47	20	20	NUM
ejpam-5404	399	48	,	,	PUNCT
ejpam-5404	399	49	see	see	VERB
ejpam-5404	399	50	figure	figure	NOUN
ejpam-5404	399	51	4	4	NUM
ejpam-5404	399	52	-	-	SYM
ejpam-5404	399	53	7	7	NUM
ejpam-5404	399	54	.	.	NOUN
ejpam-5404	399	55	0	0	NUM
ejpam-5404	400	1	10	10	NUM
ejpam-5404	400	2	20	20	NUM
ejpam-5404	400	3	30	30	NUM
ejpam-5404	400	4	40	40	NUM
ejpam-5404	400	5	50	50	NUM
ejpam-5404	400	6	60	60	NUM
ejpam-5404	400	7	70	70	NUM
ejpam-5404	400	8	80	80	NUM
ejpam-5404	400	9	90	90	NUM
ejpam-5404	400	10	100	100	NUM
ejpam-5404	400	11	time	time	NOUN
ejpam-5404	400	12	128	128	NUM
ejpam-5404	400	13	129	129	NUM
ejpam-5404	400	14	130	130	NUM
ejpam-5404	400	15	131	131	NUM
ejpam-5404	400	16	132	132	NUM
ejpam-5404	400	17	133	133	NUM
ejpam-5404	400	18	134	134	NUM
ejpam-5404	400	19	135	135	NUM
ejpam-5404	400	20	g	g	NOUN
ejpam-5404	400	21	lu	lu	NOUN
ejpam-5404	401	1	c	c	NOUN
ejpam-5404	401	2	o	o	NOUN
ejpam-5404	401	3	s	s	X
ejpam-5404	401	4	e	e	NOUN
ejpam-5404	401	5	glucose	glucose	NOUN
ejpam-5404	401	6	dynamics	dynamic	NOUN
ejpam-5404	401	7	for	for	ADP
ejpam-5404	401	8	i	i	PRON
ejpam-5404	401	9	in	in	ADP
ejpam-5404	401	10	=	=	SYM
ejpam-5404	401	11	0	0	PUNCT
ejpam-5404	401	12	deterministic	deterministic	ADJ
ejpam-5404	401	13	g	g	NOUN
ejpam-5404	401	14	stochastic	stochastic	ADJ
ejpam-5404	401	15	mean	mean	NOUN
ejpam-5404	401	16	g	g	NOUN
ejpam-5404	401	17	,	,	PUNCT
ejpam-5404	401	18	noise	noise	VERB
ejpam-5404	401	19	0.10	0.10	NUM
ejpam-5404	401	20	stochastic	stochastic	ADJ
ejpam-5404	401	21	mean	mean	NOUN
ejpam-5404	401	22	g	g	NOUN
ejpam-5404	401	23	,	,	PUNCT
ejpam-5404	401	24	noise	noise	NOUN
ejpam-5404	401	25	0.20	0.20	NUM
ejpam-5404	401	26	stochastic	stochastic	ADJ
ejpam-5404	401	27	mean	mean	NOUN
ejpam-5404	401	28	g	g	NOUN
ejpam-5404	401	29	,	,	PUNCT
ejpam-5404	401	30	noise	noise	NOUN
ejpam-5404	401	31	0.30	0.30	NUM
ejpam-5404	401	32	stochastic	stochastic	ADJ
ejpam-5404	401	33	mean	mean	NOUN
ejpam-5404	401	34	g	g	NOUN
ejpam-5404	401	35	,	,	PUNCT
ejpam-5404	401	36	noise	noise	NOUN
ejpam-5404	401	37	0.50	0.50	NUM
ejpam-5404	401	38	stochastic	stochastic	ADJ
ejpam-5404	401	39	mean	mean	NOUN
ejpam-5404	401	40	g	g	NOUN
ejpam-5404	401	41	,	,	PUNCT
ejpam-5404	401	42	noise	noise	NOUN
ejpam-5404	401	43	0.80	0.80	NUM
ejpam-5404	401	44	(	(	PUNCT
ejpam-5404	401	45	a	a	X
ejpam-5404	401	46	)	)	PUNCT
ejpam-5404	401	47	0	0	NUM
ejpam-5404	402	1	10	10	NUM
ejpam-5404	402	2	20	20	NUM
ejpam-5404	402	3	30	30	NUM
ejpam-5404	402	4	40	40	NUM
ejpam-5404	402	5	50	50	NUM
ejpam-5404	402	6	60	60	NUM
ejpam-5404	402	7	70	70	NUM
ejpam-5404	402	8	80	80	NUM
ejpam-5404	402	9	90	90	NUM
ejpam-5404	402	10	100	100	NUM
ejpam-5404	402	11	time	time	NOUN
ejpam-5404	402	12	0	0	NUM
ejpam-5404	402	13	5	5	NUM
ejpam-5404	402	14	10	10	NUM
ejpam-5404	402	15	15	15	NUM
ejpam-5404	402	16	20	20	NUM
ejpam-5404	402	17	25	25	NUM
ejpam-5404	402	18	30	30	NUM
ejpam-5404	402	19	35	35	NUM
ejpam-5404	402	20	40	40	NUM
ejpam-5404	402	21	45	45	NUM
ejpam-5404	402	22	50	50	NUM
ejpam-5404	402	23	in	in	ADP
ejpam-5404	402	24	s	s	PROPN
ejpam-5404	402	25	u	u	NOUN
ejpam-5404	402	26	lin	lin	PROPN
ejpam-5404	402	27	insulin	insulin	NOUN
ejpam-5404	402	28	dynamics	dynamic	NOUN
ejpam-5404	402	29	for	for	ADP
ejpam-5404	402	30	i	i	PRON
ejpam-5404	402	31	in	in	ADP
ejpam-5404	402	32	=	=	SYM
ejpam-5404	402	33	0	0	PUNCT
ejpam-5404	402	34	deterministic	deterministic	ADJ
ejpam-5404	402	35	i	i	PRON
ejpam-5404	402	36	stochastic	stochastic	VERB
ejpam-5404	403	1	mean	mean	VERB
ejpam-5404	403	2	i	i	PROPN
ejpam-5404	403	3	,	,	PUNCT
ejpam-5404	403	4	noise	noise	VERB
ejpam-5404	403	5	0.10	0.10	NUM
ejpam-5404	403	6	stochastic	stochastic	NOUN
ejpam-5404	403	7	mean	mean	NOUN
ejpam-5404	404	1	i	i	PROPN
ejpam-5404	404	2	,	,	PUNCT
ejpam-5404	404	3	noise	noise	NOUN
ejpam-5404	404	4	0.20	0.20	NUM
ejpam-5404	404	5	stochastic	stochastic	NOUN
ejpam-5404	405	1	mean	mean	NOUN
ejpam-5404	406	1	i	i	PROPN
ejpam-5404	406	2	,	,	PUNCT
ejpam-5404	406	3	noise	noise	VERB
ejpam-5404	406	4	0.30	0.30	NUM
ejpam-5404	406	5	stochastic	stochastic	ADJ
ejpam-5404	407	1	mean	mean	NOUN
ejpam-5404	407	2	i	i	PROPN
ejpam-5404	407	3	,	,	PUNCT
ejpam-5404	407	4	noise	noise	NOUN
ejpam-5404	407	5	0.50	0.50	NUM
ejpam-5404	407	6	stochastic	stochastic	NOUN
ejpam-5404	408	1	mean	mean	NOUN
ejpam-5404	408	2	i	i	PROPN
ejpam-5404	408	3	,	,	PUNCT
ejpam-5404	408	4	noise	noise	NOUN
ejpam-5404	408	5	0.80	0.80	NUM
ejpam-5404	408	6	(	(	PUNCT
ejpam-5404	408	7	b	b	NOUN
ejpam-5404	408	8	)	)	PUNCT
ejpam-5404	408	9	figure	figure	NOUN
ejpam-5404	408	10	4	4	NUM
ejpam-5404	408	11	:	:	PUNCT
ejpam-5404	408	12	a	a	DET
ejpam-5404	408	13	comparison	comparison	NOUN
ejpam-5404	408	14	of	of	ADP
ejpam-5404	408	15	deterministic	deterministic	ADJ
ejpam-5404	408	16	and	and	CCONJ
ejpam-5404	408	17	stochastic	stochastic	ADJ
ejpam-5404	408	18	diabetes	diabetes	NOUN
ejpam-5404	408	19	models	model	NOUN
ejpam-5404	408	20	at	at	ADP
ejpam-5404	408	21	iin	iin	NOUN
ejpam-5404	408	22	=	=	NOUN
ejpam-5404	408	23	0	0	NUM
ejpam-5404	408	24	with	with	ADP
ejpam-5404	408	25	varying	vary	VERB
ejpam-5404	408	26	levels	level	NOUN
ejpam-5404	408	27	of	of	ADP
ejpam-5404	408	28	noise=0.1	noise=0.1	NOUN
ejpam-5404	408	29	,	,	PUNCT
ejpam-5404	408	30	0.2	0.2	NUM
ejpam-5404	408	31	,	,	PUNCT
ejpam-5404	408	32	0.3	0.3	NUM
ejpam-5404	408	33	,	,	PUNCT
ejpam-5404	408	34	0.5	0.5	NUM
ejpam-5404	408	35	,	,	PUNCT
ejpam-5404	408	36	0.8	0.8	NUM
ejpam-5404	408	37	.	.	PUNCT
ejpam-5404	409	1	s.	s.	PROPN
ejpam-5404	409	2	m.	m.	PROPN
ejpam-5404	409	3	alzahrani	alzahrani	PROPN
ejpam-5404	409	4	/	/	SYM
ejpam-5404	409	5	eur	eur	PROPN
ejpam-5404	409	6	.	.	PUNCT
ejpam-5404	410	1	j.	j.	PROPN
ejpam-5404	410	2	pure	pure	PROPN
ejpam-5404	410	3	appl	appl	PROPN
ejpam-5404	410	4	.	.	PROPN
ejpam-5404	410	5	math	math	PROPN
ejpam-5404	410	6	,	,	PUNCT
ejpam-5404	410	7	18	18	NUM
ejpam-5404	410	8	(	(	PUNCT
ejpam-5404	410	9	1	1	NUM
ejpam-5404	410	10	)	)	PUNCT
ejpam-5404	410	11	(	(	PUNCT
ejpam-5404	410	12	2025	2025	NUM
ejpam-5404	410	13	)	)	PUNCT
ejpam-5404	410	14	,	,	PUNCT
ejpam-5404	410	15	5404	5404	NUM
ejpam-5404	410	16	18	18	NUM
ejpam-5404	410	17	of	of	ADP
ejpam-5404	410	18	22	22	NUM
ejpam-5404	410	19	0	0	NUM
ejpam-5404	410	20	10	10	NUM
ejpam-5404	410	21	20	20	NUM
ejpam-5404	410	22	30	30	NUM
ejpam-5404	410	23	40	40	NUM
ejpam-5404	410	24	50	50	NUM
ejpam-5404	410	25	60	60	NUM
ejpam-5404	410	26	70	70	NUM
ejpam-5404	410	27	80	80	NUM
ejpam-5404	410	28	90	90	NUM
ejpam-5404	410	29	100	100	NUM
ejpam-5404	410	30	time	time	NOUN
ejpam-5404	410	31	116	116	NUM
ejpam-5404	410	32	118	118	NUM
ejpam-5404	410	33	120	120	NUM
ejpam-5404	410	34	122	122	NUM
ejpam-5404	410	35	124	124	NUM
ejpam-5404	410	36	126	126	NUM
ejpam-5404	410	37	128	128	NUM
ejpam-5404	410	38	130	130	NUM
ejpam-5404	410	39	132	132	NUM
ejpam-5404	410	40	134	134	NUM
ejpam-5404	410	41	g	g	NOUN
ejpam-5404	411	1	lu	lu	NOUN
ejpam-5404	411	2	c	c	NOUN
ejpam-5404	412	1	o	o	NOUN
ejpam-5404	412	2	s	s	X
ejpam-5404	412	3	e	e	NOUN
ejpam-5404	412	4	glucose	glucose	NOUN
ejpam-5404	412	5	dynamics	dynamic	NOUN
ejpam-5404	412	6	for	for	ADP
ejpam-5404	412	7	i	i	PRON
ejpam-5404	412	8	in	in	ADP
ejpam-5404	412	9	=	=	SYM
ejpam-5404	412	10	5	5	NUM
ejpam-5404	412	11	deterministic	deterministic	ADJ
ejpam-5404	412	12	g	g	NOUN
ejpam-5404	412	13	stochastic	stochastic	ADJ
ejpam-5404	412	14	mean	mean	NOUN
ejpam-5404	412	15	g	g	NOUN
ejpam-5404	412	16	,	,	PUNCT
ejpam-5404	412	17	noise	noise	VERB
ejpam-5404	412	18	0.10	0.10	NUM
ejpam-5404	412	19	stochastic	stochastic	ADJ
ejpam-5404	412	20	mean	mean	NOUN
ejpam-5404	412	21	g	g	NOUN
ejpam-5404	412	22	,	,	PUNCT
ejpam-5404	412	23	noise	noise	NOUN
ejpam-5404	412	24	0.20	0.20	NUM
ejpam-5404	412	25	stochastic	stochastic	ADJ
ejpam-5404	412	26	mean	mean	NOUN
ejpam-5404	412	27	g	g	NOUN
ejpam-5404	412	28	,	,	PUNCT
ejpam-5404	412	29	noise	noise	NOUN
ejpam-5404	412	30	0.30	0.30	NUM
ejpam-5404	412	31	stochastic	stochastic	ADJ
ejpam-5404	412	32	mean	mean	NOUN
ejpam-5404	412	33	g	g	NOUN
ejpam-5404	412	34	,	,	PUNCT
ejpam-5404	412	35	noise	noise	NOUN
ejpam-5404	412	36	0.50	0.50	NUM
ejpam-5404	412	37	stochastic	stochastic	ADJ
ejpam-5404	412	38	mean	mean	NOUN
ejpam-5404	412	39	g	g	NOUN
ejpam-5404	412	40	,	,	PUNCT
ejpam-5404	412	41	noise	noise	NOUN
ejpam-5404	412	42	0.80	0.80	NUM
ejpam-5404	412	43	(	(	PUNCT
ejpam-5404	412	44	a	a	X
ejpam-5404	412	45	)	)	PUNCT
ejpam-5404	412	46	0	0	NUM
ejpam-5404	413	1	10	10	NUM
ejpam-5404	413	2	20	20	NUM
ejpam-5404	413	3	30	30	NUM
ejpam-5404	413	4	40	40	NUM
ejpam-5404	413	5	50	50	NUM
ejpam-5404	413	6	60	60	NUM
ejpam-5404	413	7	70	70	NUM
ejpam-5404	413	8	80	80	NUM
ejpam-5404	413	9	90	90	NUM
ejpam-5404	413	10	100	100	NUM
ejpam-5404	413	11	time	time	NOUN
ejpam-5404	413	12	0	0	NUM
ejpam-5404	413	13	10	10	NUM
ejpam-5404	413	14	20	20	NUM
ejpam-5404	413	15	30	30	NUM
ejpam-5404	413	16	40	40	NUM
ejpam-5404	413	17	50	50	NUM
ejpam-5404	413	18	60	60	NUM
ejpam-5404	413	19	in	in	ADP
ejpam-5404	413	20	s	s	PROPN
ejpam-5404	413	21	u	u	NOUN
ejpam-5404	413	22	lin	lin	PROPN
ejpam-5404	413	23	insulin	insulin	NOUN
ejpam-5404	413	24	dynamics	dynamic	NOUN
ejpam-5404	413	25	for	for	ADP
ejpam-5404	413	26	i	i	PRON
ejpam-5404	413	27	in	in	ADP
ejpam-5404	413	28	=	=	SYM
ejpam-5404	413	29	5	5	NUM
ejpam-5404	413	30	deterministic	deterministic	ADJ
ejpam-5404	413	31	i	i	PRON
ejpam-5404	413	32	stochastic	stochastic	VERB
ejpam-5404	414	1	mean	mean	VERB
ejpam-5404	414	2	i	i	PROPN
ejpam-5404	414	3	,	,	PUNCT
ejpam-5404	414	4	noise	noise	VERB
ejpam-5404	414	5	0.10	0.10	NUM
ejpam-5404	414	6	stochastic	stochastic	NOUN
ejpam-5404	414	7	mean	mean	NOUN
ejpam-5404	415	1	i	i	PROPN
ejpam-5404	415	2	,	,	PUNCT
ejpam-5404	415	3	noise	noise	NOUN
ejpam-5404	415	4	0.20	0.20	NUM
ejpam-5404	415	5	stochastic	stochastic	NOUN
ejpam-5404	416	1	mean	mean	NOUN
ejpam-5404	417	1	i	i	PROPN
ejpam-5404	417	2	,	,	PUNCT
ejpam-5404	417	3	noise	noise	VERB
ejpam-5404	417	4	0.30	0.30	NUM
ejpam-5404	417	5	stochastic	stochastic	ADJ
ejpam-5404	418	1	mean	mean	NOUN
ejpam-5404	418	2	i	i	PROPN
ejpam-5404	418	3	,	,	PUNCT
ejpam-5404	418	4	noise	noise	NOUN
ejpam-5404	418	5	0.50	0.50	NUM
ejpam-5404	418	6	stochastic	stochastic	NOUN
ejpam-5404	419	1	mean	mean	NOUN
ejpam-5404	419	2	i	i	PROPN
ejpam-5404	419	3	,	,	PUNCT
ejpam-5404	419	4	noise	noise	NOUN
ejpam-5404	419	5	0.80	0.80	NUM
ejpam-5404	419	6	(	(	PUNCT
ejpam-5404	419	7	b	b	NOUN
ejpam-5404	419	8	)	)	PUNCT
ejpam-5404	419	9	figure	figure	NOUN
ejpam-5404	419	10	5	5	NUM
ejpam-5404	419	11	:	:	PUNCT
ejpam-5404	419	12	a	a	DET
ejpam-5404	419	13	comparison	comparison	NOUN
ejpam-5404	419	14	of	of	ADP
ejpam-5404	419	15	deterministic	deterministic	ADJ
ejpam-5404	419	16	and	and	CCONJ
ejpam-5404	419	17	stochastic	stochastic	ADJ
ejpam-5404	419	18	diabetes	diabetes	NOUN
ejpam-5404	419	19	models	model	NOUN
ejpam-5404	419	20	at	at	ADP
ejpam-5404	419	21	iin	iin	NOUN
ejpam-5404	419	22	=	=	NOUN
ejpam-5404	419	23	5	5	NUM
ejpam-5404	419	24	with	with	ADP
ejpam-5404	419	25	varying	vary	VERB
ejpam-5404	419	26	levels	level	NOUN
ejpam-5404	419	27	of	of	ADP
ejpam-5404	419	28	noise=0.1	noise=0.1	NOUN
ejpam-5404	419	29	,	,	PUNCT
ejpam-5404	419	30	0.2	0.2	NUM
ejpam-5404	419	31	,	,	PUNCT
ejpam-5404	419	32	0.3	0.3	NUM
ejpam-5404	419	33	,	,	PUNCT
ejpam-5404	419	34	0.5	0.5	NUM
ejpam-5404	419	35	,	,	PUNCT
ejpam-5404	419	36	0.8	0.8	NUM
ejpam-5404	419	37	.	.	NOUN
ejpam-5404	419	38	0	0	NUM
ejpam-5404	420	1	10	10	NUM
ejpam-5404	420	2	20	20	NUM
ejpam-5404	420	3	30	30	NUM
ejpam-5404	420	4	40	40	NUM
ejpam-5404	420	5	50	50	NUM
ejpam-5404	420	6	60	60	NUM
ejpam-5404	420	7	70	70	NUM
ejpam-5404	420	8	80	80	NUM
ejpam-5404	420	9	90	90	NUM
ejpam-5404	420	10	100	100	NUM
ejpam-5404	420	11	time	time	NOUN
ejpam-5404	420	12	105	105	NUM
ejpam-5404	420	13	110	110	NUM
ejpam-5404	420	14	115	115	NUM
ejpam-5404	420	15	120	120	NUM
ejpam-5404	420	16	125	125	NUM
ejpam-5404	420	17	130	130	NUM
ejpam-5404	420	18	135	135	NUM
ejpam-5404	420	19	g	g	NOUN
ejpam-5404	420	20	lu	lu	NOUN
ejpam-5404	421	1	c	c	NOUN
ejpam-5404	421	2	o	o	NOUN
ejpam-5404	421	3	s	s	X
ejpam-5404	421	4	e	e	NOUN
ejpam-5404	421	5	glucose	glucose	NOUN
ejpam-5404	421	6	dynamics	dynamic	NOUN
ejpam-5404	421	7	for	for	ADP
ejpam-5404	421	8	i	i	PRON
ejpam-5404	421	9	in	in	ADP
ejpam-5404	421	10	=	=	NUM
ejpam-5404	421	11	10	10	NUM
ejpam-5404	421	12	deterministic	deterministic	ADJ
ejpam-5404	421	13	g	g	NOUN
ejpam-5404	421	14	stochastic	stochastic	ADJ
ejpam-5404	421	15	mean	mean	NOUN
ejpam-5404	421	16	g	g	NOUN
ejpam-5404	421	17	,	,	PUNCT
ejpam-5404	421	18	noise	noise	VERB
ejpam-5404	421	19	0.10	0.10	NUM
ejpam-5404	421	20	stochastic	stochastic	ADJ
ejpam-5404	421	21	mean	mean	NOUN
ejpam-5404	421	22	g	g	NOUN
ejpam-5404	421	23	,	,	PUNCT
ejpam-5404	421	24	noise	noise	NOUN
ejpam-5404	421	25	0.20	0.20	NUM
ejpam-5404	421	26	stochastic	stochastic	ADJ
ejpam-5404	421	27	mean	mean	NOUN
ejpam-5404	421	28	g	g	NOUN
ejpam-5404	421	29	,	,	PUNCT
ejpam-5404	421	30	noise	noise	NOUN
ejpam-5404	421	31	0.30	0.30	NUM
ejpam-5404	421	32	stochastic	stochastic	ADJ
ejpam-5404	421	33	mean	mean	NOUN
ejpam-5404	421	34	g	g	NOUN
ejpam-5404	421	35	,	,	PUNCT
ejpam-5404	421	36	noise	noise	NOUN
ejpam-5404	421	37	0.50	0.50	NUM
ejpam-5404	421	38	stochastic	stochastic	ADJ
ejpam-5404	421	39	mean	mean	NOUN
ejpam-5404	421	40	g	g	NOUN
ejpam-5404	421	41	,	,	PUNCT
ejpam-5404	421	42	noise	noise	NOUN
ejpam-5404	421	43	0.80	0.80	NUM
ejpam-5404	421	44	(	(	PUNCT
ejpam-5404	421	45	a	a	X
ejpam-5404	421	46	)	)	PUNCT
ejpam-5404	421	47	0	0	NUM
ejpam-5404	421	48	10	10	NUM
ejpam-5404	421	49	20	20	NUM
ejpam-5404	421	50	30	30	NUM
ejpam-5404	421	51	40	40	NUM
ejpam-5404	421	52	50	50	NUM
ejpam-5404	421	53	60	60	NUM
ejpam-5404	421	54	70	70	NUM
ejpam-5404	421	55	80	80	NUM
ejpam-5404	421	56	90	90	NUM
ejpam-5404	421	57	100	100	NUM
ejpam-5404	421	58	time	time	NOUN
ejpam-5404	421	59	0	0	NUM
ejpam-5404	421	60	10	10	NUM
ejpam-5404	421	61	20	20	NUM
ejpam-5404	421	62	30	30	NUM
ejpam-5404	421	63	40	40	NUM
ejpam-5404	421	64	50	50	NUM
ejpam-5404	421	65	60	60	NUM
ejpam-5404	421	66	70	70	NUM
ejpam-5404	421	67	in	in	ADP
ejpam-5404	421	68	s	s	PROPN
ejpam-5404	421	69	u	u	NOUN
ejpam-5404	421	70	lin	lin	PROPN
ejpam-5404	421	71	insulin	insulin	NOUN
ejpam-5404	421	72	dynamics	dynamic	NOUN
ejpam-5404	421	73	for	for	ADP
ejpam-5404	421	74	i	i	PRON
ejpam-5404	421	75	in	in	ADP
ejpam-5404	421	76	=	=	NOUN
ejpam-5404	421	77	10	10	NUM
ejpam-5404	421	78	deterministic	deterministic	ADJ
ejpam-5404	421	79	i	i	PRON
ejpam-5404	421	80	stochastic	stochastic	VERB
ejpam-5404	422	1	mean	mean	VERB
ejpam-5404	422	2	i	i	PROPN
ejpam-5404	422	3	,	,	PUNCT
ejpam-5404	422	4	noise	noise	VERB
ejpam-5404	422	5	0.10	0.10	NUM
ejpam-5404	422	6	stochastic	stochastic	NOUN
ejpam-5404	422	7	mean	mean	NOUN
ejpam-5404	423	1	i	i	PROPN
ejpam-5404	423	2	,	,	PUNCT
ejpam-5404	423	3	noise	noise	NOUN
ejpam-5404	423	4	0.20	0.20	NUM
ejpam-5404	423	5	stochastic	stochastic	NOUN
ejpam-5404	424	1	mean	mean	NOUN
ejpam-5404	425	1	i	i	PROPN
ejpam-5404	425	2	,	,	PUNCT
ejpam-5404	425	3	noise	noise	VERB
ejpam-5404	425	4	0.30	0.30	NUM
ejpam-5404	425	5	stochastic	stochastic	ADJ
ejpam-5404	426	1	mean	mean	NOUN
ejpam-5404	426	2	i	i	PROPN
ejpam-5404	426	3	,	,	PUNCT
ejpam-5404	426	4	noise	noise	NOUN
ejpam-5404	426	5	0.50	0.50	NUM
ejpam-5404	426	6	stochastic	stochastic	NOUN
ejpam-5404	427	1	mean	mean	NOUN
ejpam-5404	427	2	i	i	PROPN
ejpam-5404	427	3	,	,	PUNCT
ejpam-5404	427	4	noise	noise	NOUN
ejpam-5404	427	5	0.80	0.80	NUM
ejpam-5404	427	6	(	(	PUNCT
ejpam-5404	427	7	b	b	NOUN
ejpam-5404	427	8	)	)	PUNCT
ejpam-5404	427	9	figure	figure	NOUN
ejpam-5404	427	10	6	6	NUM
ejpam-5404	427	11	:	:	PUNCT
ejpam-5404	427	12	a	a	DET
ejpam-5404	427	13	comparison	comparison	NOUN
ejpam-5404	427	14	of	of	ADP
ejpam-5404	427	15	deterministic	deterministic	ADJ
ejpam-5404	427	16	and	and	CCONJ
ejpam-5404	427	17	stochastic	stochastic	ADJ
ejpam-5404	427	18	diabetes	diabetes	NOUN
ejpam-5404	427	19	models	model	NOUN
ejpam-5404	427	20	at	at	ADP
ejpam-5404	427	21	iin	iin	NOUN
ejpam-5404	427	22	=	=	PROPN
ejpam-5404	427	23	10	10	NUM
ejpam-5404	427	24	with	with	ADP
ejpam-5404	427	25	varying	vary	VERB
ejpam-5404	427	26	levels	level	NOUN
ejpam-5404	427	27	of	of	ADP
ejpam-5404	427	28	noise=0.1	noise=0.1	NOUN
ejpam-5404	427	29	,	,	PUNCT
ejpam-5404	427	30	0.2	0.2	NUM
ejpam-5404	427	31	,	,	PUNCT
ejpam-5404	427	32	0.3	0.3	NUM
ejpam-5404	427	33	,	,	PUNCT
ejpam-5404	427	34	0.5	0.5	NUM
ejpam-5404	427	35	,	,	PUNCT
ejpam-5404	427	36	0.8	0.8	NUM
ejpam-5404	427	37	.	.	PUNCT
ejpam-5404	428	1	s.	s.	PROPN
ejpam-5404	428	2	m.	m.	PROPN
ejpam-5404	428	3	alzahrani	alzahrani	PROPN
ejpam-5404	428	4	/	/	SYM
ejpam-5404	428	5	eur	eur	PROPN
ejpam-5404	428	6	.	.	PUNCT
ejpam-5404	429	1	j.	j.	PROPN
ejpam-5404	429	2	pure	pure	PROPN
ejpam-5404	429	3	appl	appl	PROPN
ejpam-5404	429	4	.	.	PROPN
ejpam-5404	429	5	math	math	PROPN
ejpam-5404	429	6	,	,	PUNCT
ejpam-5404	429	7	18	18	NUM
ejpam-5404	429	8	(	(	PUNCT
ejpam-5404	429	9	1	1	NUM
ejpam-5404	429	10	)	)	PUNCT
ejpam-5404	429	11	(	(	PUNCT
ejpam-5404	429	12	2025	2025	NUM
ejpam-5404	429	13	)	)	PUNCT
ejpam-5404	429	14	,	,	PUNCT
ejpam-5404	429	15	5404	5404	NUM
ejpam-5404	429	16	19	19	NUM
ejpam-5404	429	17	of	of	ADP
ejpam-5404	429	18	22	22	NUM
ejpam-5404	429	19	0	0	NUM
ejpam-5404	429	20	10	10	NUM
ejpam-5404	429	21	20	20	NUM
ejpam-5404	429	22	30	30	NUM
ejpam-5404	429	23	40	40	NUM
ejpam-5404	429	24	50	50	NUM
ejpam-5404	429	25	60	60	NUM
ejpam-5404	429	26	70	70	NUM
ejpam-5404	429	27	80	80	NUM
ejpam-5404	429	28	90	90	NUM
ejpam-5404	429	29	100	100	NUM
ejpam-5404	429	30	time	time	NOUN
ejpam-5404	429	31	90	90	NUM
ejpam-5404	429	32	95	95	NUM
ejpam-5404	429	33	100	100	NUM
ejpam-5404	429	34	105	105	NUM
ejpam-5404	429	35	110	110	NUM
ejpam-5404	429	36	115	115	NUM
ejpam-5404	429	37	120	120	NUM
ejpam-5404	429	38	125	125	NUM
ejpam-5404	429	39	130	130	NUM
ejpam-5404	429	40	135	135	NUM
ejpam-5404	429	41	g	g	NOUN
ejpam-5404	430	1	lu	lu	NOUN
ejpam-5404	430	2	c	c	NOUN
ejpam-5404	430	3	o	o	NOUN
ejpam-5404	430	4	s	s	X
ejpam-5404	430	5	e	e	NOUN
ejpam-5404	430	6	glucose	glucose	NOUN
ejpam-5404	430	7	dynamics	dynamic	NOUN
ejpam-5404	430	8	for	for	ADP
ejpam-5404	430	9	i	i	PRON
ejpam-5404	430	10	in	in	ADP
ejpam-5404	430	11	=	=	NUM
ejpam-5404	430	12	20	20	NUM
ejpam-5404	430	13	deterministic	deterministic	ADJ
ejpam-5404	430	14	g	g	NOUN
ejpam-5404	430	15	stochastic	stochastic	ADJ
ejpam-5404	430	16	mean	mean	NOUN
ejpam-5404	430	17	g	g	NOUN
ejpam-5404	430	18	,	,	PUNCT
ejpam-5404	430	19	noise	noise	VERB
ejpam-5404	430	20	0.10	0.10	NUM
ejpam-5404	430	21	stochastic	stochastic	ADJ
ejpam-5404	430	22	mean	mean	NOUN
ejpam-5404	430	23	g	g	NOUN
ejpam-5404	430	24	,	,	PUNCT
ejpam-5404	430	25	noise	noise	NOUN
ejpam-5404	430	26	0.20	0.20	NUM
ejpam-5404	430	27	stochastic	stochastic	ADJ
ejpam-5404	430	28	mean	mean	NOUN
ejpam-5404	430	29	g	g	NOUN
ejpam-5404	430	30	,	,	PUNCT
ejpam-5404	430	31	noise	noise	NOUN
ejpam-5404	430	32	0.30	0.30	NUM
ejpam-5404	430	33	stochastic	stochastic	ADJ
ejpam-5404	430	34	mean	mean	NOUN
ejpam-5404	430	35	g	g	NOUN
ejpam-5404	430	36	,	,	PUNCT
ejpam-5404	430	37	noise	noise	NOUN
ejpam-5404	430	38	0.50	0.50	NUM
ejpam-5404	430	39	stochastic	stochastic	ADJ
ejpam-5404	430	40	mean	mean	NOUN
ejpam-5404	430	41	g	g	NOUN
ejpam-5404	430	42	,	,	PUNCT
ejpam-5404	430	43	noise	noise	NOUN
ejpam-5404	430	44	0.80	0.80	NUM
ejpam-5404	430	45	(	(	PUNCT
ejpam-5404	430	46	a	a	X
ejpam-5404	430	47	)	)	PUNCT
ejpam-5404	430	48	0	0	NUM
ejpam-5404	430	49	10	10	NUM
ejpam-5404	430	50	20	20	NUM
ejpam-5404	430	51	30	30	NUM
ejpam-5404	430	52	40	40	NUM
ejpam-5404	430	53	50	50	NUM
ejpam-5404	430	54	60	60	NUM
ejpam-5404	430	55	70	70	NUM
ejpam-5404	430	56	80	80	NUM
ejpam-5404	430	57	90	90	NUM
ejpam-5404	430	58	100	100	NUM
ejpam-5404	430	59	time	time	NOUN
ejpam-5404	430	60	0	0	NUM
ejpam-5404	430	61	10	10	NUM
ejpam-5404	430	62	20	20	NUM
ejpam-5404	430	63	30	30	NUM
ejpam-5404	430	64	40	40	NUM
ejpam-5404	430	65	50	50	NUM
ejpam-5404	430	66	60	60	NUM
ejpam-5404	430	67	70	70	NUM
ejpam-5404	430	68	80	80	NUM
ejpam-5404	430	69	in	in	ADP
ejpam-5404	430	70	s	s	PROPN
ejpam-5404	430	71	u	u	NOUN
ejpam-5404	430	72	lin	lin	PROPN
ejpam-5404	430	73	insulin	insulin	NOUN
ejpam-5404	430	74	dynamics	dynamic	NOUN
ejpam-5404	430	75	for	for	ADP
ejpam-5404	430	76	i	i	PRON
ejpam-5404	430	77	in	in	ADP
ejpam-5404	430	78	=	=	NUM
ejpam-5404	430	79	20	20	NUM
ejpam-5404	430	80	deterministic	deterministic	ADJ
ejpam-5404	430	81	i	i	PRON
ejpam-5404	430	82	stochastic	stochastic	VERB
ejpam-5404	431	1	mean	mean	VERB
ejpam-5404	431	2	i	i	PROPN
ejpam-5404	431	3	,	,	PUNCT
ejpam-5404	431	4	noise	noise	VERB
ejpam-5404	431	5	0.10	0.10	NUM
ejpam-5404	431	6	stochastic	stochastic	NOUN
ejpam-5404	431	7	mean	mean	NOUN
ejpam-5404	432	1	i	i	PROPN
ejpam-5404	432	2	,	,	PUNCT
ejpam-5404	432	3	noise	noise	NOUN
ejpam-5404	432	4	0.20	0.20	NUM
ejpam-5404	432	5	stochastic	stochastic	NOUN
ejpam-5404	433	1	mean	mean	NOUN
ejpam-5404	434	1	i	i	PROPN
ejpam-5404	434	2	,	,	PUNCT
ejpam-5404	434	3	noise	noise	VERB
ejpam-5404	434	4	0.30	0.30	NUM
ejpam-5404	434	5	stochastic	stochastic	ADJ
ejpam-5404	435	1	mean	mean	NOUN
ejpam-5404	435	2	i	i	PROPN
ejpam-5404	435	3	,	,	PUNCT
ejpam-5404	435	4	noise	noise	NOUN
ejpam-5404	435	5	0.50	0.50	NUM
ejpam-5404	435	6	stochastic	stochastic	NOUN
ejpam-5404	436	1	mean	mean	NOUN
ejpam-5404	436	2	i	i	PROPN
ejpam-5404	436	3	,	,	PUNCT
ejpam-5404	436	4	noise	noise	NOUN
ejpam-5404	436	5	0.80	0.80	NUM
ejpam-5404	436	6	(	(	PUNCT
ejpam-5404	436	7	b	b	NOUN
ejpam-5404	436	8	)	)	PUNCT
ejpam-5404	436	9	figure	figure	NOUN
ejpam-5404	436	10	7	7	NUM
ejpam-5404	436	11	:	:	PUNCT
ejpam-5404	436	12	a	a	DET
ejpam-5404	436	13	comparison	comparison	NOUN
ejpam-5404	436	14	of	of	ADP
ejpam-5404	436	15	deterministic	deterministic	ADJ
ejpam-5404	436	16	and	and	CCONJ
ejpam-5404	436	17	stochastic	stochastic	ADJ
ejpam-5404	436	18	diabetes	diabetes	NOUN
ejpam-5404	436	19	models	model	NOUN
ejpam-5404	436	20	at	at	ADP
ejpam-5404	436	21	iin	iin	NOUN
ejpam-5404	436	22	=	=	PROPN
ejpam-5404	436	23	20	20	NUM
ejpam-5404	436	24	with	with	ADP
ejpam-5404	436	25	varying	vary	VERB
ejpam-5404	436	26	levels	level	NOUN
ejpam-5404	436	27	of	of	ADP
ejpam-5404	436	28	noise=0.1	noise=0.1	NOUN
ejpam-5404	436	29	,	,	PUNCT
ejpam-5404	436	30	0.2	0.2	NUM
ejpam-5404	436	31	,	,	PUNCT
ejpam-5404	436	32	0.3	0.3	NUM
ejpam-5404	436	33	,	,	PUNCT
ejpam-5404	436	34	0.5	0.5	NUM
ejpam-5404	436	35	,	,	PUNCT
ejpam-5404	436	36	0.8	0.8	NUM
ejpam-5404	436	37	.	.	PUNCT
ejpam-5404	437	1	different	different	ADJ
ejpam-5404	437	2	values	value	NOUN
ejpam-5404	437	3	of	of	ADP
ejpam-5404	437	4	iin	iin	PROPN
ejpam-5404	437	5	simulate	simulate	VERB
ejpam-5404	437	6	various	various	ADJ
ejpam-5404	437	7	scenarios	scenario	NOUN
ejpam-5404	437	8	of	of	ADP
ejpam-5404	437	9	insulin	insulin	NOUN
ejpam-5404	437	10	dosage	dosage	NOUN
ejpam-5404	437	11	,	,	PUNCT
ejpam-5404	437	12	ranging	range	VERB
ejpam-5404	437	13	from	from	ADP
ejpam-5404	437	14	no	no	DET
ejpam-5404	437	15	external	external	ADJ
ejpam-5404	437	16	insulin	insulin	NOUN
ejpam-5404	437	17	to	to	ADP
ejpam-5404	437	18	high	high	ADJ
ejpam-5404	437	19	doses	dose	NOUN
ejpam-5404	437	20	.	.	PUNCT
ejpam-5404	438	1	low	low	ADJ
ejpam-5404	438	2	iin	iin	NOUN
ejpam-5404	438	3	(	(	PUNCT
ejpam-5404	438	4	e.g.	e.g.	ADV
ejpam-5404	438	5	,	,	PUNCT
ejpam-5404	438	6	0	0	NUM
ejpam-5404	438	7	):	):	PUNCT
ejpam-5404	438	8	represents	represent	VERB
ejpam-5404	438	9	a	a	DET
ejpam-5404	438	10	scenario	scenario	NOUN
ejpam-5404	438	11	with	with	ADP
ejpam-5404	438	12	no	no	DET
ejpam-5404	438	13	external	external	ADJ
ejpam-5404	438	14	insulin	insulin	NOUN
ejpam-5404	438	15	,	,	PUNCT
ejpam-5404	438	16	where	where	SCONJ
ejpam-5404	438	17	the	the	DET
ejpam-5404	438	18	body	body	NOUN
ejpam-5404	438	19	relies	rely	VERB
ejpam-5404	438	20	solely	solely	ADV
ejpam-5404	438	21	on	on	ADP
ejpam-5404	438	22	endogenous	endogenous	ADJ
ejpam-5404	438	23	insulin	insulin	NOUN
ejpam-5404	438	24	production	production	NOUN
ejpam-5404	438	25	.	.	PUNCT
ejpam-5404	439	1	moderate	moderate	ADJ
ejpam-5404	439	2	iin	iin	PROPN
ejpam-5404	439	3	(	(	PUNCT
ejpam-5404	439	4	e.g.	e.g.	ADV
ejpam-5404	439	5	,	,	PUNCT
ejpam-5404	439	6	5	5	NUM
ejpam-5404	439	7	or	or	CCONJ
ejpam-5404	439	8	10	10	NUM
ejpam-5404	439	9	):	):	PUNCT
ejpam-5404	439	10	represents	represent	VERB
ejpam-5404	439	11	typical	typical	ADJ
ejpam-5404	439	12	therapeutic	therapeutic	ADJ
ejpam-5404	439	13	doses	dose	NOUN
ejpam-5404	439	14	of	of	ADP
ejpam-5404	439	15	insulin	insulin	NOUN
ejpam-5404	439	16	administered	administer	VERB
ejpam-5404	439	17	to	to	ADP
ejpam-5404	439	18	a	a	DET
ejpam-5404	439	19	diabetic	diabetic	ADJ
ejpam-5404	439	20	patient	patient	NOUN
ejpam-5404	439	21	.	.	PUNCT
ejpam-5404	440	1	high	high	ADJ
ejpam-5404	440	2	iin	iin	NOUN
ejpam-5404	440	3	(	(	PUNCT
ejpam-5404	440	4	e.g.	e.g.	ADV
ejpam-5404	440	5	,	,	PUNCT
ejpam-5404	440	6	20	20	NUM
ejpam-5404	440	7	):	):	PUNCT
ejpam-5404	440	8	represents	represent	VERB
ejpam-5404	440	9	high	high	ADJ
ejpam-5404	440	10	doses	dose	NOUN
ejpam-5404	440	11	of	of	ADP
ejpam-5404	440	12	insulin	insulin	NOUN
ejpam-5404	440	13	,	,	PUNCT
ejpam-5404	440	14	which	which	PRON
ejpam-5404	440	15	could	could	AUX
ejpam-5404	440	16	be	be	AUX
ejpam-5404	440	17	used	use	VERB
ejpam-5404	440	18	in	in	ADP
ejpam-5404	440	19	severe	severe	ADJ
ejpam-5404	440	20	cases	case	NOUN
ejpam-5404	440	21	of	of	ADP
ejpam-5404	440	22	hyperglycemia	hyperglycemia	NOUN
ejpam-5404	440	23	or	or	CCONJ
ejpam-5404	440	24	other	other	ADJ
ejpam-5404	440	25	medical	medical	ADJ
ejpam-5404	440	26	conditions	condition	NOUN
ejpam-5404	440	27	.	.	PUNCT
ejpam-5404	441	1	by	by	ADP
ejpam-5404	441	2	simulating	simulate	VERB
ejpam-5404	441	3	different	different	ADJ
ejpam-5404	441	4	iin	iin	NOUN
ejpam-5404	441	5	values	value	NOUN
ejpam-5404	441	6	,	,	PUNCT
ejpam-5404	441	7	healthcare	healthcare	NOUN
ejpam-5404	441	8	providers	provider	NOUN
ejpam-5404	441	9	can	can	AUX
ejpam-5404	441	10	optimize	optimize	VERB
ejpam-5404	441	11	insulin	insulin	NOUN
ejpam-5404	441	12	therapy	therapy	NOUN
ejpam-5404	441	13	for	for	ADP
ejpam-5404	441	14	individual	individual	ADJ
ejpam-5404	441	15	patients	patient	NOUN
ejpam-5404	441	16	.	.	PUNCT
ejpam-5404	442	1	9	9	X
ejpam-5404	442	2	.	.	X
ejpam-5404	442	3	discussion	discussion	NOUN
ejpam-5404	442	4	our	our	PRON
ejpam-5404	442	5	study	study	NOUN
ejpam-5404	442	6	developed	develop	VERB
ejpam-5404	442	7	a	a	DET
ejpam-5404	442	8	stochastic	stochastic	ADJ
ejpam-5404	442	9	glucose	glucose	NOUN
ejpam-5404	442	10	-	-	PUNCT
ejpam-5404	442	11	insulin	insulin	NOUN
ejpam-5404	442	12	model	model	NOUN
ejpam-5404	442	13	that	that	PRON
ejpam-5404	442	14	uses	use	VERB
ejpam-5404	442	15	the	the	DET
ejpam-5404	442	16	michaelis	michaeli	NOUN
ejpam-5404	442	17	-	-	PUNCT
ejpam-5404	442	18	menten	menten	ADJ
ejpam-5404	442	19	function	function	NOUN
ejpam-5404	442	20	to	to	PART
ejpam-5404	442	21	describe	describe	VERB
ejpam-5404	442	22	insulin	insulin	NOUN
ejpam-5404	442	23	degradation	degradation	NOUN
ejpam-5404	442	24	nonlinearity	nonlinearity	NOUN
ejpam-5404	442	25	.	.	PUNCT
ejpam-5404	443	1	by	by	ADP
ejpam-5404	443	2	combining	combine	VERB
ejpam-5404	443	3	calculus	calculus	NOUN
ejpam-5404	443	4	with	with	ADP
ejpam-5404	443	5	stochastic	stochastic	ADJ
ejpam-5404	443	6	differential	differential	ADJ
ejpam-5404	443	7	equations	equation	NOUN
ejpam-5404	443	8	,	,	PUNCT
ejpam-5404	443	9	our	our	PRON
ejpam-5404	443	10	model	model	NOUN
ejpam-5404	443	11	captures	capture	VERB
ejpam-5404	443	12	the	the	DET
ejpam-5404	443	13	complex	complex	ADJ
ejpam-5404	443	14	dynamics	dynamic	NOUN
ejpam-5404	443	15	and	and	CCONJ
ejpam-5404	443	16	inherent	inherent	ADJ
ejpam-5404	443	17	variability	variability	NOUN
ejpam-5404	443	18	of	of	ADP
ejpam-5404	443	19	the	the	DET
ejpam-5404	443	20	glucose	glucose	NOUN
ejpam-5404	443	21	-	-	PUNCT
ejpam-5404	443	22	insulin	insulin	NOUN
ejpam-5404	443	23	system	system	NOUN
ejpam-5404	443	24	,	,	PUNCT
ejpam-5404	443	25	providing	provide	VERB
ejpam-5404	443	26	a	a	DET
ejpam-5404	443	27	more	more	ADV
ejpam-5404	443	28	realistic	realistic	ADJ
ejpam-5404	443	29	representation	representation	NOUN
ejpam-5404	443	30	of	of	ADP
ejpam-5404	443	31	diabetes	diabetes	NOUN
ejpam-5404	443	32	pathogenesis	pathogenesis	NOUN
ejpam-5404	443	33	.	.	PUNCT
ejpam-5404	444	1	this	this	DET
ejpam-5404	444	2	method	method	NOUN
ejpam-5404	444	3	was	be	AUX
ejpam-5404	444	4	demonstrated	demonstrate	VERB
ejpam-5404	444	5	through	through	ADP
ejpam-5404	444	6	comparison	comparison	NOUN
ejpam-5404	444	7	with	with	ADP
ejpam-5404	444	8	a	a	DET
ejpam-5404	444	9	deterministic	deterministic	ADJ
ejpam-5404	444	10	model	model	NOUN
ejpam-5404	444	11	.	.	PUNCT
ejpam-5404	445	1	our	our	PRON
ejpam-5404	445	2	results	result	NOUN
ejpam-5404	445	3	showed	show	VERB
ejpam-5404	445	4	that	that	SCONJ
ejpam-5404	445	5	the	the	DET
ejpam-5404	445	6	stochastic	stochastic	ADJ
ejpam-5404	445	7	model	model	NOUN
ejpam-5404	445	8	not	not	PART
ejpam-5404	445	9	only	only	ADV
ejpam-5404	445	10	aligns	align	VERB
ejpam-5404	445	11	closely	closely	ADV
ejpam-5404	445	12	with	with	ADP
ejpam-5404	445	13	real	real	ADJ
ejpam-5404	445	14	-	-	PUNCT
ejpam-5404	445	15	world	world	NOUN
ejpam-5404	445	16	observations	observation	NOUN
ejpam-5404	445	17	but	but	CCONJ
ejpam-5404	445	18	also	also	ADV
ejpam-5404	445	19	offers	offer	VERB
ejpam-5404	445	20	valuable	valuable	ADJ
ejpam-5404	445	21	insights	insight	NOUN
ejpam-5404	445	22	into	into	ADP
ejpam-5404	445	23	glucose	glucose	NOUN
ejpam-5404	445	24	-	-	PUNCT
ejpam-5404	445	25	insulin	insulin	NOUN
ejpam-5404	445	26	dynamics	dynamic	NOUN
ejpam-5404	445	27	and	and	CCONJ
ejpam-5404	445	28	variability	variability	NOUN
ejpam-5404	445	29	,	,	PUNCT
ejpam-5404	445	30	which	which	PRON
ejpam-5404	445	31	are	be	AUX
ejpam-5404	445	32	crucial	crucial	ADJ
ejpam-5404	445	33	for	for	ADP
ejpam-5404	445	34	developing	develop	VERB
ejpam-5404	445	35	personalized	personalized	ADJ
ejpam-5404	445	36	medical	medical	ADJ
ejpam-5404	445	37	interventions	intervention	NOUN
ejpam-5404	445	38	.	.	PUNCT
ejpam-5404	446	1	in	in	ADP
ejpam-5404	446	2	order	order	NOUN
ejpam-5404	446	3	to	to	PART
ejpam-5404	446	4	solve	solve	VERB
ejpam-5404	446	5	this	this	DET
ejpam-5404	446	6	stochastic	stochastic	ADJ
ejpam-5404	446	7	model	model	NOUN
ejpam-5404	446	8	,	,	PUNCT
ejpam-5404	446	9	we	we	PRON
ejpam-5404	446	10	used	use	VERB
ejpam-5404	446	11	the	the	DET
ejpam-5404	446	12	milstein	milstein	ADJ
ejpam-5404	446	13	method	method	NOUN
ejpam-5404	446	14	.	.	PUNCT
ejpam-5404	447	1	moreover	moreover	ADV
ejpam-5404	447	2	,	,	PUNCT
ejpam-5404	447	3	we	we	PRON
ejpam-5404	447	4	also	also	ADV
ejpam-5404	447	5	investigated	investigate	VERB
ejpam-5404	447	6	approximations	approximation	NOUN
ejpam-5404	447	7	for	for	ADP
ejpam-5404	447	8	29	29	NUM
ejpam-5404	447	9	,	,	PUNCT
ejpam-5404	447	10	210	210	NUM
ejpam-5404	447	11	,	,	PUNCT
ejpam-5404	447	12	211	211	NUM
ejpam-5404	447	13	,	,	PUNCT
ejpam-5404	447	14	212	212	NUM
ejpam-5404	447	15	and	and	CCONJ
ejpam-5404	447	16	213	213	NUM
ejpam-5404	447	17	discretization	discretization	NOUN
ejpam-5404	447	18	in	in	ADP
ejpam-5404	447	19	the	the	DET
ejpam-5404	447	20	interval	interval	NOUN
ejpam-5404	447	21	[	[	X
ejpam-5404	447	22	0	0	NUM
ejpam-5404	447	23	,	,	PUNCT
ejpam-5404	447	24	1	1	NUM
ejpam-5404	447	25	]	]	PUNCT
ejpam-5404	447	26	with	with	ADP
ejpam-5404	447	27	10000	10000	NUM
ejpam-5404	447	28	different	different	ADJ
ejpam-5404	447	29	sample	sample	NOUN
ejpam-5404	447	30	paths	path	NOUN
ejpam-5404	447	31	.	.	PUNCT
ejpam-5404	448	1	we	we	PRON
ejpam-5404	448	2	found	find	VERB
ejpam-5404	448	3	that	that	SCONJ
ejpam-5404	448	4	the	the	DET
ejpam-5404	448	5	milstein	milstein	ADJ
ejpam-5404	448	6	scheme	scheme	NOUN
ejpam-5404	448	7	gave	give	VERB
ejpam-5404	448	8	close	close	ADJ
ejpam-5404	448	9	numerical	numerical	ADJ
ejpam-5404	448	10	solutions	solution	NOUN
ejpam-5404	448	11	to	to	ADP
ejpam-5404	448	12	the	the	DET
ejpam-5404	448	13	approximate	approximate	ADJ
ejpam-5404	448	14	deterministic	deterministic	ADJ
ejpam-5404	448	15	model	model	NOUN
ejpam-5404	448	16	as	as	SCONJ
ejpam-5404	448	17	n	n	PRON
ejpam-5404	448	18	increased	increase	VERB
ejpam-5404	448	19	.	.	PUNCT
ejpam-5404	449	1	hence	hence	ADV
ejpam-5404	449	2	,	,	PUNCT
ejpam-5404	449	3	the	the	DET
ejpam-5404	449	4	milstein	milstein	ADJ
ejpam-5404	449	5	method	method	NOUN
ejpam-5404	449	6	works	work	VERB
ejpam-5404	449	7	well	well	ADV
ejpam-5404	449	8	as	as	ADP
ejpam-5404	449	9	n	n	PRON
ejpam-5404	449	10	increases	increase	NOUN
ejpam-5404	449	11	.	.	PUNCT
ejpam-5404	450	1	we	we	PRON
ejpam-5404	450	2	compared	compare	VERB
ejpam-5404	450	3	models	model	NOUN
ejpam-5404	450	4	(	(	PUNCT
ejpam-5404	450	5	1	1	NUM
ejpam-5404	450	6	)	)	PUNCT
ejpam-5404	450	7	and	and	CCONJ
ejpam-5404	450	8	(	(	PUNCT
ejpam-5404	450	9	2	2	X
ejpam-5404	450	10	)	)	PUNCT
ejpam-5404	450	11	using	use	VERB
ejpam-5404	450	12	the	the	DET
ejpam-5404	450	13	milstein	milstein	PROPN
ejpam-5404	450	14	numerical	numerical	PROPN
ejpam-5404	450	15	approximation	approximation	NOUN
ejpam-5404	450	16	method	method	NOUN
ejpam-5404	450	17	.	.	PUNCT
ejpam-5404	451	1	s.	s.	PROPN
ejpam-5404	451	2	m.	m.	PROPN
ejpam-5404	451	3	alzahrani	alzahrani	PROPN
ejpam-5404	451	4	/	/	SYM
ejpam-5404	451	5	eur	eur	PROPN
ejpam-5404	451	6	.	.	PUNCT
ejpam-5404	452	1	j.	j.	PROPN
ejpam-5404	452	2	pure	pure	PROPN
ejpam-5404	452	3	appl	appl	PROPN
ejpam-5404	452	4	.	.	PROPN
ejpam-5404	452	5	math	math	PROPN
ejpam-5404	452	6	,	,	PUNCT
ejpam-5404	452	7	18	18	NUM
ejpam-5404	452	8	(	(	PUNCT
ejpam-5404	452	9	1	1	NUM
ejpam-5404	452	10	)	)	PUNCT
ejpam-5404	452	11	(	(	PUNCT
ejpam-5404	452	12	2025	2025	NUM
ejpam-5404	452	13	)	)	PUNCT
ejpam-5404	452	14	,	,	PUNCT
ejpam-5404	452	15	5404	5404	NUM
ejpam-5404	452	16	20	20	NUM
ejpam-5404	452	17	of	of	ADP
ejpam-5404	452	18	22	22	NUM
ejpam-5404	452	19	conclusion	conclusion	NOUN
ejpam-5404	452	20	in	in	ADP
ejpam-5404	452	21	this	this	DET
ejpam-5404	452	22	study	study	NOUN
ejpam-5404	453	1	,	,	PUNCT
ejpam-5404	453	2	we	we	PRON
ejpam-5404	453	3	developed	develop	VERB
ejpam-5404	453	4	a	a	DET
ejpam-5404	453	5	stochastic	stochastic	ADJ
ejpam-5404	453	6	glucose	glucose	NOUN
ejpam-5404	453	7	-	-	PUNCT
ejpam-5404	453	8	insulin	insulin	NOUN
ejpam-5404	453	9	model	model	NOUN
ejpam-5404	453	10	incorporating	incorporate	VERB
ejpam-5404	453	11	the	the	DET
ejpam-5404	453	12	michaelismenten	michaelismenten	VERB
ejpam-5404	453	13	function	function	NOUN
ejpam-5404	453	14	to	to	PART
ejpam-5404	453	15	describe	describe	VERB
ejpam-5404	453	16	insulin	insulin	NOUN
ejpam-5404	453	17	degradation	degradation	NOUN
ejpam-5404	453	18	nonlinearity	nonlinearity	NOUN
ejpam-5404	453	19	.	.	PUNCT
ejpam-5404	454	1	by	by	ADP
ejpam-5404	454	2	combining	combine	VERB
ejpam-5404	454	3	calculus	calculus	NOUN
ejpam-5404	454	4	with	with	ADP
ejpam-5404	454	5	stochastic	stochastic	ADJ
ejpam-5404	454	6	differential	differential	ADJ
ejpam-5404	454	7	equations	equation	NOUN
ejpam-5404	454	8	,	,	PUNCT
ejpam-5404	454	9	our	our	PRON
ejpam-5404	454	10	model	model	NOUN
ejpam-5404	454	11	captures	capture	VERB
ejpam-5404	454	12	the	the	DET
ejpam-5404	454	13	complex	complex	ADJ
ejpam-5404	454	14	dynamics	dynamic	NOUN
ejpam-5404	454	15	and	and	CCONJ
ejpam-5404	454	16	inherent	inherent	ADJ
ejpam-5404	454	17	variability	variability	NOUN
ejpam-5404	454	18	of	of	ADP
ejpam-5404	454	19	the	the	DET
ejpam-5404	454	20	glucose	glucose	NOUN
ejpam-5404	454	21	-	-	PUNCT
ejpam-5404	454	22	insulin	insulin	NOUN
ejpam-5404	454	23	system	system	NOUN
ejpam-5404	454	24	,	,	PUNCT
ejpam-5404	454	25	providing	provide	VERB
ejpam-5404	454	26	a	a	DET
ejpam-5404	454	27	more	more	ADV
ejpam-5404	454	28	realistic	realistic	ADJ
ejpam-5404	454	29	representation	representation	NOUN
ejpam-5404	454	30	of	of	ADP
ejpam-5404	454	31	diabetes	diabetes	NOUN
ejpam-5404	454	32	pathogenesis	pathogenesis	NOUN
ejpam-5404	454	33	.	.	PUNCT
ejpam-5404	455	1	we	we	PRON
ejpam-5404	455	2	employed	employ	VERB
ejpam-5404	455	3	the	the	DET
ejpam-5404	455	4	milstein	milstein	ADJ
ejpam-5404	455	5	method	method	NOUN
ejpam-5404	455	6	,	,	PUNCT
ejpam-5404	455	7	a	a	DET
ejpam-5404	455	8	numerical	numerical	ADJ
ejpam-5404	455	9	technique	technique	NOUN
ejpam-5404	455	10	based	base	VERB
ejpam-5404	455	11	on	on	ADP
ejpam-5404	455	12	the	the	DET
ejpam-5404	455	13	truncated	truncated	ADJ
ejpam-5404	455	14	ito	ito	PROPN
ejpam-5404	455	15	-	-	PROPN
ejpam-5404	455	16	taylor	taylor	PROPN
ejpam-5404	455	17	expansion	expansion	NOUN
ejpam-5404	455	18	,	,	PUNCT
ejpam-5404	455	19	to	to	PART
ejpam-5404	455	20	solve	solve	VERB
ejpam-5404	455	21	the	the	DET
ejpam-5404	455	22	stochastic	stochastic	ADJ
ejpam-5404	455	23	model	model	NOUN
ejpam-5404	455	24	.	.	PUNCT
ejpam-5404	456	1	the	the	DET
ejpam-5404	456	2	efficiency	efficiency	NOUN
ejpam-5404	456	3	and	and	CCONJ
ejpam-5404	456	4	accuracy	accuracy	NOUN
ejpam-5404	456	5	of	of	ADP
ejpam-5404	456	6	this	this	DET
ejpam-5404	456	7	method	method	NOUN
ejpam-5404	456	8	were	be	AUX
ejpam-5404	456	9	demonstrated	demonstrate	VERB
ejpam-5404	456	10	through	through	ADP
ejpam-5404	456	11	comparison	comparison	NOUN
ejpam-5404	456	12	with	with	ADP
ejpam-5404	456	13	a	a	DET
ejpam-5404	456	14	deterministic	deterministic	ADJ
ejpam-5404	456	15	model	model	NOUN
ejpam-5404	456	16	.	.	PUNCT
ejpam-5404	457	1	our	our	PRON
ejpam-5404	457	2	results	result	NOUN
ejpam-5404	457	3	showed	show	VERB
ejpam-5404	457	4	that	that	SCONJ
ejpam-5404	457	5	the	the	DET
ejpam-5404	457	6	stochastic	stochastic	ADJ
ejpam-5404	457	7	model	model	NOUN
ejpam-5404	457	8	not	not	PART
ejpam-5404	457	9	only	only	ADV
ejpam-5404	457	10	aligns	align	VERB
ejpam-5404	457	11	closely	closely	ADV
ejpam-5404	457	12	with	with	ADP
ejpam-5404	457	13	real	real	ADJ
ejpam-5404	457	14	-	-	PUNCT
ejpam-5404	457	15	world	world	NOUN
ejpam-5404	457	16	observations	observation	NOUN
ejpam-5404	457	17	but	but	CCONJ
ejpam-5404	457	18	also	also	ADV
ejpam-5404	457	19	offers	offer	VERB
ejpam-5404	457	20	valuable	valuable	ADJ
ejpam-5404	457	21	insights	insight	NOUN
ejpam-5404	457	22	into	into	ADP
ejpam-5404	457	23	glucose	glucose	NOUN
ejpam-5404	457	24	-	-	PUNCT
ejpam-5404	457	25	insulin	insulin	NOUN
ejpam-5404	457	26	dynamics	dynamic	NOUN
ejpam-5404	457	27	variability	variability	NOUN
ejpam-5404	457	28	,	,	PUNCT
ejpam-5404	457	29	which	which	PRON
ejpam-5404	457	30	are	be	AUX
ejpam-5404	457	31	crucial	crucial	ADJ
ejpam-5404	457	32	for	for	ADP
ejpam-5404	457	33	developing	develop	VERB
ejpam-5404	457	34	personalized	personalized	ADJ
ejpam-5404	457	35	medical	medical	ADJ
ejpam-5404	457	36	interventions	intervention	NOUN
ejpam-5404	457	37	.	.	PUNCT
ejpam-5404	458	1	sensitivity	sensitivity	NOUN
ejpam-5404	458	2	analysis	analysis	NOUN
ejpam-5404	458	3	identified	identify	VERB
ejpam-5404	458	4	key	key	ADJ
ejpam-5404	458	5	parameters	parameter	NOUN
ejpam-5404	458	6	influencing	influence	VERB
ejpam-5404	458	7	the	the	DET
ejpam-5404	458	8	system	system	NOUN
ejpam-5404	458	9	’s	’s	PART
ejpam-5404	458	10	behavior	behavior	NOUN
ejpam-5404	458	11	.	.	PUNCT
ejpam-5404	459	1	these	these	DET
ejpam-5404	459	2	parameters	parameter	NOUN
ejpam-5404	459	3	informed	inform	VERB
ejpam-5404	459	4	the	the	DET
ejpam-5404	459	5	design	design	NOUN
ejpam-5404	459	6	of	of	ADP
ejpam-5404	459	7	targeted	target	VERB
ejpam-5404	459	8	intervention	intervention	NOUN
ejpam-5404	459	9	strategies	strategy	NOUN
ejpam-5404	459	10	,	,	PUNCT
ejpam-5404	459	11	including	include	VERB
ejpam-5404	459	12	insulin	insulin	NOUN
ejpam-5404	459	13	injections	injection	NOUN
ejpam-5404	459	14	,	,	PUNCT
ejpam-5404	459	15	medication	medication	NOUN
ejpam-5404	459	16	treatments	treatment	NOUN
ejpam-5404	459	17	,	,	PUNCT
ejpam-5404	459	18	combination	combination	NOUN
ejpam-5404	459	19	therapies	therapy	NOUN
ejpam-5404	459	20	,	,	PUNCT
ejpam-5404	459	21	and	and	CCONJ
ejpam-5404	459	22	lifestyle	lifestyle	NOUN
ejpam-5404	459	23	adjustments	adjustment	NOUN
ejpam-5404	459	24	.	.	PUNCT
ejpam-5404	460	1	these	these	DET
ejpam-5404	460	2	strategies	strategy	NOUN
ejpam-5404	460	3	,	,	PUNCT
ejpam-5404	460	4	tailored	tailor	VERB
ejpam-5404	460	5	to	to	ADP
ejpam-5404	460	6	patients	patient	NOUN
ejpam-5404	460	7	’	'	PUNCT
ejpam-5404	460	8	individual	individual	ADJ
ejpam-5404	460	9	dynamics	dynamic	NOUN
ejpam-5404	460	10	,	,	PUNCT
ejpam-5404	460	11	enhance	enhance	VERB
ejpam-5404	460	12	the	the	DET
ejpam-5404	460	13	potential	potential	NOUN
ejpam-5404	460	14	for	for	ADP
ejpam-5404	460	15	effective	effective	ADJ
ejpam-5404	460	16	diabetes	diabetes	NOUN
ejpam-5404	460	17	management	management	NOUN
ejpam-5404	460	18	.	.	PUNCT
ejpam-5404	461	1	our	our	PRON
ejpam-5404	461	2	numerical	numerical	ADJ
ejpam-5404	461	3	simulations	simulation	NOUN
ejpam-5404	461	4	,	,	PUNCT
ejpam-5404	461	5	supported	support	VERB
ejpam-5404	461	6	by	by	ADP
ejpam-5404	461	7	graphs	graph	NOUN
ejpam-5404	461	8	and	and	CCONJ
ejpam-5404	461	9	error	error	NOUN
ejpam-5404	461	10	tables	table	NOUN
ejpam-5404	461	11	,	,	PUNCT
ejpam-5404	461	12	corroborated	corroborate	VERB
ejpam-5404	461	13	the	the	DET
ejpam-5404	461	14	theoretical	theoretical	ADJ
ejpam-5404	461	15	findings	finding	NOUN
ejpam-5404	461	16	and	and	CCONJ
ejpam-5404	461	17	highlighted	highlight	VERB
ejpam-5404	461	18	the	the	DET
ejpam-5404	461	19	advantages	advantage	NOUN
ejpam-5404	461	20	of	of	ADP
ejpam-5404	461	21	incorporating	incorporate	VERB
ejpam-5404	461	22	stochastic	stochastic	ADJ
ejpam-5404	461	23	elements	element	NOUN
ejpam-5404	461	24	into	into	ADP
ejpam-5404	461	25	the	the	DET
ejpam-5404	461	26	model	model	NOUN
ejpam-5404	461	27	.	.	PUNCT
ejpam-5404	462	1	the	the	DET
ejpam-5404	462	2	ability	ability	NOUN
ejpam-5404	462	3	to	to	PART
ejpam-5404	462	4	account	account	VERB
ejpam-5404	462	5	for	for	ADP
ejpam-5404	462	6	random	random	ADJ
ejpam-5404	462	7	fluctuations	fluctuation	NOUN
ejpam-5404	462	8	and	and	CCONJ
ejpam-5404	462	9	variability	variability	NOUN
ejpam-5404	462	10	makes	make	VERB
ejpam-5404	462	11	the	the	DET
ejpam-5404	462	12	stochastic	stochastic	ADJ
ejpam-5404	462	13	glucose	glucose	NOUN
ejpam-5404	462	14	-	-	PUNCT
ejpam-5404	462	15	insulin	insulin	NOUN
ejpam-5404	462	16	model	model	NOUN
ejpam-5404	462	17	a	a	DET
ejpam-5404	462	18	powerful	powerful	ADJ
ejpam-5404	462	19	tool	tool	NOUN
ejpam-5404	462	20	for	for	ADP
ejpam-5404	462	21	predicting	predict	VERB
ejpam-5404	462	22	disease	disease	NOUN
ejpam-5404	462	23	dynamics	dynamic	NOUN
ejpam-5404	462	24	and	and	CCONJ
ejpam-5404	462	25	improving	improve	VERB
ejpam-5404	462	26	treatment	treatment	NOUN
ejpam-5404	462	27	strategies	strategy	NOUN
ejpam-5404	462	28	.	.	PUNCT
ejpam-5404	463	1	in	in	ADP
ejpam-5404	463	2	conclusion	conclusion	NOUN
ejpam-5404	463	3	,	,	PUNCT
ejpam-5404	463	4	this	this	DET
ejpam-5404	463	5	work	work	NOUN
ejpam-5404	463	6	underscores	underscore	VERB
ejpam-5404	463	7	the	the	DET
ejpam-5404	463	8	significance	significance	NOUN
ejpam-5404	463	9	of	of	ADP
ejpam-5404	463	10	stochastic	stochastic	ADJ
ejpam-5404	463	11	modeling	modeling	NOUN
ejpam-5404	463	12	in	in	ADP
ejpam-5404	463	13	biomedical	biomedical	ADJ
ejpam-5404	463	14	applications	application	NOUN
ejpam-5404	463	15	.	.	PUNCT
ejpam-5404	464	1	by	by	ADP
ejpam-5404	464	2	accurately	accurately	ADV
ejpam-5404	464	3	capturing	capture	VERB
ejpam-5404	464	4	the	the	DET
ejpam-5404	464	5	complexity	complexity	NOUN
ejpam-5404	464	6	and	and	CCONJ
ejpam-5404	464	7	variability	variability	NOUN
ejpam-5404	464	8	of	of	ADP
ejpam-5404	464	9	the	the	DET
ejpam-5404	464	10	glucose	glucose	NOUN
ejpam-5404	464	11	-	-	PUNCT
ejpam-5404	464	12	insulin	insulin	NOUN
ejpam-5404	464	13	system	system	NOUN
ejpam-5404	464	14	,	,	PUNCT
ejpam-5404	464	15	our	our	PRON
ejpam-5404	464	16	model	model	NOUN
ejpam-5404	464	17	offers	offer	VERB
ejpam-5404	464	18	a	a	DET
ejpam-5404	464	19	robust	robust	ADJ
ejpam-5404	464	20	framework	framework	NOUN
ejpam-5404	464	21	for	for	ADP
ejpam-5404	464	22	studying	study	VERB
ejpam-5404	464	23	diabetes	diabetes	NOUN
ejpam-5404	464	24	and	and	CCONJ
ejpam-5404	464	25	developing	develop	VERB
ejpam-5404	464	26	effective	effective	ADJ
ejpam-5404	464	27	management	management	NOUN
ejpam-5404	464	28	strategies	strategy	NOUN
ejpam-5404	464	29	.	.	PUNCT
ejpam-5404	465	1	future	future	ADJ
ejpam-5404	465	2	research	research	NOUN
ejpam-5404	465	3	could	could	AUX
ejpam-5404	465	4	further	far	ADV
ejpam-5404	465	5	refine	refine	VERB
ejpam-5404	465	6	this	this	DET
ejpam-5404	465	7	model	model	NOUN
ejpam-5404	465	8	by	by	ADP
ejpam-5404	465	9	incorporating	incorporate	VERB
ejpam-5404	465	10	additional	additional	ADJ
ejpam-5404	465	11	biological	biological	ADJ
ejpam-5404	465	12	factors	factor	NOUN
ejpam-5404	465	13	and	and	CCONJ
ejpam-5404	465	14	exploring	explore	VERB
ejpam-5404	465	15	its	its	PRON
ejpam-5404	465	16	application	application	NOUN
ejpam-5404	465	17	in	in	ADP
ejpam-5404	465	18	clinical	clinical	ADJ
ejpam-5404	465	19	settings	setting	NOUN
ejpam-5404	465	20	.	.	PUNCT
ejpam-5404	466	1	references	reference	NOUN
ejpam-5404	466	2	[	[	X
ejpam-5404	466	3	1	1	NUM
ejpam-5404	466	4	]	]	PUNCT
ejpam-5404	466	5	k.	k.	PROPN
ejpam-5404	466	6	i.	i.	PROPN
ejpam-5404	466	7	a.	a.	PROPN
ejpam-5404	466	8	ahmed	ahmed	PROPN
ejpam-5404	466	9	,	,	PUNCT
ejpam-5404	466	10	h.	h.	PROPN
ejpam-5404	466	11	d.	d.	PROPN
ejpam-5404	466	12	s.	s.	PROPN
ejpam-5404	466	13	adam	adam	PROPN
ejpam-5404	466	14	,	,	PUNCT
ejpam-5404	466	15	m.	m.	PROPN
ejpam-5404	466	16	y.	y.	PROPN
ejpam-5404	466	17	youssif	youssif	PROPN
ejpam-5404	466	18	,	,	PUNCT
ejpam-5404	466	19	and	and	CCONJ
ejpam-5404	466	20	s.	s.	PROPN
ejpam-5404	466	21	saber	saber	PROPN
ejpam-5404	466	22	.	.	PUNCT
ejpam-5404	467	1	different	different	ADJ
ejpam-5404	467	2	strategies	strategy	NOUN
ejpam-5404	467	3	for	for	ADP
ejpam-5404	467	4	diabetes	diabetes	NOUN
ejpam-5404	467	5	by	by	ADP
ejpam-5404	467	6	mathematical	mathematical	ADJ
ejpam-5404	467	7	modeling	modeling	NOUN
ejpam-5404	467	8	:	:	PUNCT
ejpam-5404	467	9	applications	application	NOUN
ejpam-5404	467	10	of	of	ADP
ejpam-5404	467	11	fractal	fractal	ADJ
ejpam-5404	467	12	-	-	PUNCT
ejpam-5404	467	13	fractional	fractional	ADJ
ejpam-5404	467	14	derivatives	derivative	NOUN
ejpam-5404	467	15	in	in	ADP
ejpam-5404	467	16	the	the	DET
ejpam-5404	467	17	sense	sense	NOUN
ejpam-5404	467	18	of	of	ADP
ejpam-5404	467	19	atangana	atangana	PROPN
ejpam-5404	467	20	-	-	PUNCT
ejpam-5404	467	21	baleanu	baleanu	PROPN
ejpam-5404	467	22	.	.	PUNCT
ejpam-5404	468	1	results	result	NOUN
ejpam-5404	468	2	in	in	ADP
ejpam-5404	468	3	physics	physics	NOUN
ejpam-5404	468	4	,	,	PUNCT
ejpam-5404	468	5	page	page	NOUN
ejpam-5404	468	6	106892	106892	NUM
ejpam-5404	468	7	,	,	PUNCT
ejpam-5404	468	8	2023	2023	NUM
ejpam-5404	468	9	.	.	PUNCT
ejpam-5404	469	1	[	[	X
ejpam-5404	469	2	2	2	NUM
ejpam-5404	469	3	]	]	PUNCT
ejpam-5404	469	4	k.	k.	PROPN
ejpam-5404	469	5	i.	i.	PROPN
ejpam-5404	469	6	a.	a.	PROPN
ejpam-5404	469	7	ahmed	ahmed	PROPN
ejpam-5404	469	8	,	,	PUNCT
ejpam-5404	469	9	h.	h.	PROPN
ejpam-5404	469	10	d.	d.	PROPN
ejpam-5404	469	11	s.	s.	PROPN
ejpam-5404	469	12	adam	adam	PROPN
ejpam-5404	469	13	,	,	PUNCT
ejpam-5404	469	14	m.	m.	PROPN
ejpam-5404	469	15	y.	y.	PROPN
ejpam-5404	469	16	youssif	youssif	PROPN
ejpam-5404	469	17	,	,	PUNCT
ejpam-5404	469	18	and	and	CCONJ
ejpam-5404	469	19	s.	s.	PROPN
ejpam-5404	469	20	saber	saber	PROPN
ejpam-5404	469	21	.	.	PUNCT
ejpam-5404	470	1	different	different	ADJ
ejpam-5404	470	2	strategies	strategy	NOUN
ejpam-5404	470	3	for	for	ADP
ejpam-5404	470	4	diabetes	diabetes	NOUN
ejpam-5404	470	5	by	by	ADP
ejpam-5404	470	6	mathematical	mathematical	ADJ
ejpam-5404	470	7	modeling	modeling	NOUN
ejpam-5404	470	8	:	:	PUNCT
ejpam-5404	470	9	modified	modify	VERB
ejpam-5404	470	10	minimal	minimal	ADJ
ejpam-5404	470	11	model	model	NOUN
ejpam-5404	470	12	.	.	PUNCT
ejpam-5404	471	1	alexandria	alexandria	PROPN
ejpam-5404	471	2	engineering	engineering	PROPN
ejpam-5404	471	3	journal	journal	PROPN
ejpam-5404	471	4	,	,	PUNCT
ejpam-5404	471	5	80:74–87	80:74–87	NUM
ejpam-5404	471	6	,	,	PUNCT
ejpam-5404	471	7	2023	2023	NUM
ejpam-5404	471	8	.	.	PUNCT
ejpam-5404	472	1	[	[	X
ejpam-5404	472	2	3	3	NUM
ejpam-5404	472	3	]	]	X
ejpam-5404	472	4	m.	m.	NOUN
ejpam-5404	472	5	h.	h.	PROPN
ejpam-5404	472	6	alshehri	alshehri	PROPN
ejpam-5404	472	7	,	,	PUNCT
ejpam-5404	472	8	f.	f.	PROPN
ejpam-5404	472	9	z.	z.	PROPN
ejpam-5404	472	10	duraihem	duraihem	PROPN
ejpam-5404	472	11	,	,	PUNCT
ejpam-5404	472	12	a.	a.	NOUN
ejpam-5404	472	13	alalyani	alalyani	PROPN
ejpam-5404	472	14	,	,	PUNCT
ejpam-5404	472	15	and	and	CCONJ
ejpam-5404	472	16	s.	s.	PROPN
ejpam-5404	472	17	saber	saber	PROPN
ejpam-5404	472	18	.	.	PUNCT
ejpam-5404	473	1	a	a	DET
ejpam-5404	473	2	caputo	caputo	PROPN
ejpam-5404	473	3	(	(	PUNCT
ejpam-5404	473	4	discretization	discretization	NOUN
ejpam-5404	473	5	)	)	PUNCT
ejpam-5404	473	6	fractional	fractional	ADJ
ejpam-5404	473	7	-	-	PUNCT
ejpam-5404	473	8	order	order	NOUN
ejpam-5404	473	9	model	model	NOUN
ejpam-5404	473	10	of	of	ADP
ejpam-5404	473	11	glucose	glucose	NOUN
ejpam-5404	473	12	-	-	PUNCT
ejpam-5404	473	13	insulin	insulin	NOUN
ejpam-5404	473	14	interaction	interaction	NOUN
ejpam-5404	473	15	:	:	PUNCT
ejpam-5404	473	16	numerical	numerical	ADJ
ejpam-5404	473	17	solution	solution	NOUN
ejpam-5404	473	18	and	and	CCONJ
ejpam-5404	473	19	comparisons	comparison	NOUN
ejpam-5404	473	20	with	with	ADP
ejpam-5404	473	21	experimental	experimental	ADJ
ejpam-5404	473	22	data	datum	NOUN
ejpam-5404	473	23	.	.	PUNCT
ejpam-5404	474	1	j.	j.	PROPN
ejpam-5404	474	2	taibah	taibah	PROPN
ejpam-5404	474	3	univ	univ	PROPN
ejpam-5404	474	4	.	.	PUNCT
ejpam-5404	475	1	sci	sci	PROPN
ejpam-5404	475	2	.	.	PROPN
ejpam-5404	475	3	,	,	PUNCT
ejpam-5404	475	4	15:26–36	15:26–36	NUM
ejpam-5404	475	5	,	,	PUNCT
ejpam-5404	475	6	2021	2021	NUM
ejpam-5404	475	7	.	.	PUNCT
ejpam-5404	476	1	[	[	X
ejpam-5404	476	2	4	4	NUM
ejpam-5404	476	3	]	]	PUNCT
ejpam-5404	476	4	m.	m.	NOUN
ejpam-5404	476	5	h.	h.	PROPN
ejpam-5404	476	6	alshehri	alshehri	PROPN
ejpam-5404	476	7	,	,	PUNCT
ejpam-5404	476	8	s.	s.	PROPN
ejpam-5404	476	9	saber	saber	PROPN
ejpam-5404	476	10	,	,	PUNCT
ejpam-5404	476	11	and	and	CCONJ
ejpam-5404	476	12	f.	f.	PROPN
ejpam-5404	476	13	z.	z.	PROPN
ejpam-5404	476	14	duraihem	duraihem	PROPN
ejpam-5404	476	15	.	.	PUNCT
ejpam-5404	477	1	dynamical	dynamical	ADJ
ejpam-5404	477	2	analysis	analysis	NOUN
ejpam-5404	477	3	of	of	ADP
ejpam-5404	477	4	fractional	fractional	ADJ
ejpam-5404	477	5	-	-	PUNCT
ejpam-5404	477	6	order	order	NOUN
ejpam-5404	477	7	of	of	ADP
ejpam-5404	477	8	ivgtt	ivgtt	ADJ
ejpam-5404	477	9	glucose	glucose	NOUN
ejpam-5404	477	10	–	–	PUNCT
ejpam-5404	477	11	insulin	insulin	NOUN
ejpam-5404	477	12	interaction	interaction	NOUN
ejpam-5404	477	13	.	.	PUNCT
ejpam-5404	478	1	international	international	ADJ
ejpam-5404	478	2	journal	journal	PROPN
ejpam-5404	478	3	of	of	ADP
ejpam-5404	478	4	nonlinear	nonlinear	PROPN
ejpam-5404	478	5	sciences	sciences	PROPN
ejpam-5404	478	6	and	and	CCONJ
ejpam-5404	478	7	numerical	numerical	PROPN
ejpam-5404	478	8	simulation	simulation	PROPN
ejpam-5404	478	9	,	,	PUNCT
ejpam-5404	478	10	24(3):1123–1140	24(3):1123–1140	NUM
ejpam-5404	478	11	,	,	PUNCT
ejpam-5404	478	12	2023	2023	NUM
ejpam-5404	478	13	.	.	PUNCT
ejpam-5404	479	1	[	[	X
ejpam-5404	479	2	5	5	X
ejpam-5404	479	3	]	]	PUNCT
ejpam-5404	479	4	jehad	jehad	PROPN
ejpam-5404	479	5	alzabut	alzabut	PROPN
ejpam-5404	479	6	,	,	PUNCT
ejpam-5404	479	7	r.	r.	PROPN
ejpam-5404	479	8	dhineshbabu	dhineshbabu	PROPN
ejpam-5404	479	9	,	,	PUNCT
ejpam-5404	479	10	a.	a.	PROPN
ejpam-5404	479	11	george	george	PROPN
ejpam-5404	479	12	m.	m.	PROPN
ejpam-5404	479	13	selvam	selvam	PROPN
ejpam-5404	479	14	,	,	PUNCT
ejpam-5404	479	15	j.	j.	PROPN
ejpam-5404	479	16	f.	f.	PROPN
ejpam-5404	479	17	gómez	gómez	PROPN
ejpam-5404	479	18	-	-	PUNCT
ejpam-5404	479	19	aguilar	aguilar	ADJ
ejpam-5404	479	20	,	,	PUNCT
ejpam-5404	479	21	and	and	CCONJ
ejpam-5404	479	22	s.	s.	PROPN
ejpam-5404	479	23	m.	m.	PROPN
ejpam-5404	479	24	alzahrani	alzahrani	PROPN
ejpam-5404	479	25	/	/	SYM
ejpam-5404	479	26	eur	eur	PROPN
ejpam-5404	479	27	.	.	PUNCT
ejpam-5404	480	1	j.	j.	PROPN
ejpam-5404	480	2	pure	pure	PROPN
ejpam-5404	480	3	appl	appl	PROPN
ejpam-5404	480	4	.	.	PROPN
ejpam-5404	480	5	math	math	PROPN
ejpam-5404	480	6	,	,	PUNCT
ejpam-5404	480	7	18	18	NUM
ejpam-5404	480	8	(	(	PUNCT
ejpam-5404	480	9	1	1	NUM
ejpam-5404	480	10	)	)	PUNCT
ejpam-5404	480	11	(	(	PUNCT
ejpam-5404	480	12	2025	2025	NUM
ejpam-5404	480	13	)	)	PUNCT
ejpam-5404	480	14	,	,	PUNCT
ejpam-5404	480	15	5404	5404	NUM
ejpam-5404	480	16	21	21	NUM
ejpam-5404	480	17	of	of	ADP
ejpam-5404	480	18	22	22	NUM
ejpam-5404	480	19	hasib	hasib	PROPN
ejpam-5404	480	20	khan	khan	PROPN
ejpam-5404	480	21	.	.	PUNCT
ejpam-5404	481	1	existence	existence	NOUN
ejpam-5404	481	2	,	,	PUNCT
ejpam-5404	481	3	uniqueness	uniqueness	NOUN
ejpam-5404	481	4	and	and	CCONJ
ejpam-5404	481	5	synchronization	synchronization	NOUN
ejpam-5404	481	6	of	of	ADP
ejpam-5404	481	7	a	a	DET
ejpam-5404	481	8	fractional	fractional	ADJ
ejpam-5404	481	9	tumor	tumor	NOUN
ejpam-5404	481	10	growth	growth	NOUN
ejpam-5404	481	11	model	model	NOUN
ejpam-5404	481	12	in	in	ADP
ejpam-5404	481	13	discrete	discrete	ADJ
ejpam-5404	481	14	time	time	NOUN
ejpam-5404	481	15	with	with	ADP
ejpam-5404	481	16	numerical	numerical	ADJ
ejpam-5404	481	17	results	result	NOUN
ejpam-5404	481	18	.	.	PUNCT
ejpam-5404	482	1	results	result	NOUN
ejpam-5404	482	2	in	in	ADP
ejpam-5404	482	3	physics	physics	NOUN
ejpam-5404	482	4	,	,	PUNCT
ejpam-5404	482	5	54:107030	54:107030	NUM
ejpam-5404	482	6	,	,	PUNCT
ejpam-5404	482	7	2023	2023	NUM
ejpam-5404	482	8	.	.	PUNCT
ejpam-5404	483	1	[	[	X
ejpam-5404	483	2	6	6	NUM
ejpam-5404	483	3	]	]	PUNCT
ejpam-5404	483	4	a.	a.	NOUN
ejpam-5404	483	5	atangana	atangana	PROPN
ejpam-5404	483	6	and	and	CCONJ
ejpam-5404	483	7	d.	d.	PROPN
ejpam-5404	483	8	baleanu	baleanu	PROPN
ejpam-5404	483	9	.	.	PUNCT
ejpam-5404	484	1	new	new	ADJ
ejpam-5404	484	2	fractional	fractional	ADJ
ejpam-5404	484	3	derivatives	derivative	NOUN
ejpam-5404	484	4	with	with	ADP
ejpam-5404	484	5	nonlocal	nonlocal	ADJ
ejpam-5404	484	6	and	and	CCONJ
ejpam-5404	484	7	nonsingular	nonsingular	ADJ
ejpam-5404	484	8	kernel	kernel	PROPN
ejpam-5404	484	9	:	:	PUNCT
ejpam-5404	484	10	theory	theory	NOUN
ejpam-5404	484	11	and	and	CCONJ
ejpam-5404	484	12	application	application	NOUN
ejpam-5404	484	13	to	to	PART
ejpam-5404	484	14	heat	heat	NOUN
ejpam-5404	484	15	transfer	transfer	NOUN
ejpam-5404	484	16	model	model	NOUN
ejpam-5404	484	17	.	.	PUNCT
ejpam-5404	485	1	thermal	thermal	ADJ
ejpam-5404	485	2	science	science	NOUN
ejpam-5404	485	3	,	,	PUNCT
ejpam-5404	485	4	20(2):763–769	20(2):763–769	NOUN
ejpam-5404	485	5	,	,	PUNCT
ejpam-5404	485	6	2016	2016	NUM
ejpam-5404	485	7	.	.	PUNCT
ejpam-5404	486	1	[	[	X
ejpam-5404	486	2	7	7	X
ejpam-5404	486	3	]	]	X
ejpam-5404	486	4	r.	r.	PROPN
ejpam-5404	486	5	n.	n.	PROPN
ejpam-5404	486	6	bergman	bergman	PROPN
ejpam-5404	486	7	,	,	PUNCT
ejpam-5404	486	8	y.	y.	PROPN
ejpam-5404	486	9	z.	z.	PROPN
ejpam-5404	486	10	ider	ider	PROPN
ejpam-5404	486	11	,	,	PUNCT
ejpam-5404	486	12	c.	c.	PROPN
ejpam-5404	486	13	r.	r.	PROPN
ejpam-5404	486	14	bowden	bowden	PROPN
ejpam-5404	486	15	,	,	PUNCT
ejpam-5404	486	16	and	and	CCONJ
ejpam-5404	486	17	c.	c.	PROPN
ejpam-5404	486	18	cobelli	cobelli	PROPN
ejpam-5404	486	19	.	.	PUNCT
ejpam-5404	487	1	quantitative	quantitative	ADJ
ejpam-5404	487	2	estimation	estimation	NOUN
ejpam-5404	487	3	of	of	ADP
ejpam-5404	487	4	insulin	insulin	NOUN
ejpam-5404	487	5	sensitivity	sensitivity	NOUN
ejpam-5404	487	6	.	.	PUNCT
ejpam-5404	488	1	american	american	PROPN
ejpam-5404	488	2	journal	journal	PROPN
ejpam-5404	488	3	of	of	ADP
ejpam-5404	488	4	physiology	physiology	NOUN
ejpam-5404	488	5	-	-	PUNCT
ejpam-5404	488	6	endocrinology	endocrinology	NOUN
ejpam-5404	488	7	and	and	CCONJ
ejpam-5404	488	8	metabolism	metabolism	NOUN
ejpam-5404	488	9	,	,	PUNCT
ejpam-5404	488	10	236(6):e667	236(6):e667	NUM
ejpam-5404	488	11	,	,	PUNCT
ejpam-5404	488	12	1979	1979	NUM
ejpam-5404	488	13	.	.	PUNCT
ejpam-5404	489	1	[	[	X
ejpam-5404	489	2	8	8	NUM
ejpam-5404	489	3	]	]	X
ejpam-5404	489	4	r.	r.	PROPN
ejpam-5404	489	5	capponetto	capponetto	PROPN
ejpam-5404	489	6	,	,	PUNCT
ejpam-5404	489	7	g.	g.	PROPN
ejpam-5404	489	8	dongola	dongola	PROPN
ejpam-5404	489	9	,	,	PUNCT
ejpam-5404	489	10	l.	l.	PROPN
ejpam-5404	489	11	fortuna	fortuna	PROPN
ejpam-5404	489	12	,	,	PUNCT
ejpam-5404	489	13	and	and	CCONJ
ejpam-5404	489	14	i.	i.	PROPN
ejpam-5404	489	15	petras	petras	PROPN
ejpam-5404	489	16	.	.	PUNCT
ejpam-5404	490	1	fractional	fractional	ADJ
ejpam-5404	490	2	order	order	NOUN
ejpam-5404	490	3	systems	system	NOUN
ejpam-5404	490	4	:	:	PUNCT
ejpam-5404	490	5	modeling	modeling	NOUN
ejpam-5404	490	6	and	and	CCONJ
ejpam-5404	490	7	control	control	NOUN
ejpam-5404	490	8	applications	application	NOUN
ejpam-5404	490	9	,	,	PUNCT
ejpam-5404	490	10	volume	volume	NOUN
ejpam-5404	490	11	72	72	NUM
ejpam-5404	490	12	of	of	ADP
ejpam-5404	490	13	world	world	NOUN
ejpam-5404	490	14	scientific	scientific	ADJ
ejpam-5404	490	15	series	series	NOUN
ejpam-5404	490	16	in	in	ADP
ejpam-5404	490	17	nonlinear	nonlinear	ADJ
ejpam-5404	490	18	science	science	NOUN
ejpam-5404	490	19	,	,	PUNCT
ejpam-5404	490	20	series	series	PROPN
ejpam-5404	490	21	a.	a.	PROPN
ejpam-5404	490	22	world	world	PROPN
ejpam-5404	490	23	scientific	scientific	PROPN
ejpam-5404	490	24	,	,	PUNCT
ejpam-5404	490	25	2010	2010	NUM
ejpam-5404	490	26	.	.	PUNCT
ejpam-5404	491	1	[	[	X
ejpam-5404	491	2	9	9	NUM
ejpam-5404	491	3	]	]	PUNCT
ejpam-5404	491	4	a.	a.	NOUN
ejpam-5404	491	5	de	de	PROPN
ejpam-5404	491	6	gaetano	gaetano	PROPN
ejpam-5404	491	7	and	and	CCONJ
ejpam-5404	491	8	o.	o.	PROPN
ejpam-5404	491	9	arino	arino	PROPN
ejpam-5404	491	10	.	.	PUNCT
ejpam-5404	492	1	mathematical	mathematical	ADJ
ejpam-5404	492	2	modelling	modelling	NOUN
ejpam-5404	492	3	of	of	ADP
ejpam-5404	492	4	the	the	DET
ejpam-5404	492	5	intravenous	intravenous	ADJ
ejpam-5404	492	6	glucose	glucose	NOUN
ejpam-5404	492	7	tolerance	tolerance	NOUN
ejpam-5404	492	8	test	test	NOUN
ejpam-5404	492	9	.	.	PUNCT
ejpam-5404	493	1	journal	journal	PROPN
ejpam-5404	493	2	of	of	ADP
ejpam-5404	493	3	mathematical	mathematical	ADJ
ejpam-5404	493	4	biology	biology	NOUN
ejpam-5404	493	5	,	,	PUNCT
ejpam-5404	493	6	40(2):136–168	40(2):136–168	PROPN
ejpam-5404	493	7	,	,	PUNCT
ejpam-5404	493	8	2000	2000	NUM
ejpam-5404	493	9	.	.	PUNCT
ejpam-5404	494	1	[	[	X
ejpam-5404	494	2	10	10	NUM
ejpam-5404	494	3	]	]	X
ejpam-5404	494	4	anwarud	anwarud	PROPN
ejpam-5404	494	5	din	din	PROPN
ejpam-5404	494	6	,	,	PUNCT
ejpam-5404	494	7	amir	amir	PROPN
ejpam-5404	494	8	khan	khan	PROPN
ejpam-5404	494	9	,	,	PUNCT
ejpam-5404	494	10	and	and	CCONJ
ejpam-5404	494	11	dumitru	dumitru	PROPN
ejpam-5404	494	12	baleanu	baleanu	NOUN
ejpam-5404	494	13	.	.	PUNCT
ejpam-5404	495	1	stationary	stationary	ADJ
ejpam-5404	495	2	distribution	distribution	NOUN
ejpam-5404	495	3	and	and	CCONJ
ejpam-5404	495	4	extinction	extinction	NOUN
ejpam-5404	495	5	of	of	ADP
ejpam-5404	495	6	stochastic	stochastic	ADJ
ejpam-5404	495	7	coronavirus	coronavirus	NOUN
ejpam-5404	495	8	(	(	PUNCT
ejpam-5404	495	9	covid-19	covid-19	PROPN
ejpam-5404	495	10	)	)	PUNCT
ejpam-5404	495	11	epidemic	epidemic	NOUN
ejpam-5404	495	12	model	model	NOUN
ejpam-5404	495	13	.	.	PUNCT
ejpam-5404	496	1	chaos	chaos	NOUN
ejpam-5404	496	2	,	,	PUNCT
ejpam-5404	496	3	solitons	soliton	NOUN
ejpam-5404	496	4	and	and	CCONJ
ejpam-5404	496	5	fractals	fractal	NOUN
ejpam-5404	496	6	,	,	PUNCT
ejpam-5404	496	7	page	page	NOUN
ejpam-5404	496	8	110036	110036	NUM
ejpam-5404	496	9	,	,	PUNCT
ejpam-5404	496	10	2020	2020	NUM
ejpam-5404	496	11	.	.	PUNCT
ejpam-5404	497	1	[	[	X
ejpam-5404	497	2	11	11	NUM
ejpam-5404	497	3	]	]	PUNCT
ejpam-5404	497	4	m.	m.	PROPN
ejpam-5404	497	5	f.	f.	PROPN
ejpam-5404	497	6	dockendorf	dockendorf	PROPN
ejpam-5404	497	7	and	and	CCONJ
ejpam-5404	497	8	c.	c.	PROPN
ejpam-5404	497	9	park	park	PROPN
ejpam-5404	497	10	.	.	PUNCT
ejpam-5404	498	1	modeling	model	VERB
ejpam-5404	498	2	insulin	insulin	NOUN
ejpam-5404	498	3	kinetics	kinetic	NOUN
ejpam-5404	498	4	with	with	ADP
ejpam-5404	498	5	applications	application	NOUN
ejpam-5404	498	6	to	to	PART
ejpam-5404	498	7	glucose	glucose	VERB
ejpam-5404	498	8	metabolism	metabolism	NOUN
ejpam-5404	498	9	control	control	NOUN
ejpam-5404	498	10	in	in	ADP
ejpam-5404	498	11	diabetic	diabetic	ADJ
ejpam-5404	498	12	patients	patient	NOUN
ejpam-5404	498	13	.	.	PUNCT
ejpam-5404	499	1	ieee	ieee	NOUN
ejpam-5404	499	2	transactions	transaction	NOUN
ejpam-5404	499	3	on	on	ADP
ejpam-5404	499	4	biomedical	biomedical	ADJ
ejpam-5404	499	5	engineering	engineering	NOUN
ejpam-5404	499	6	,	,	PUNCT
ejpam-5404	499	7	57(4):789–798	57(4):789–798	PROPN
ejpam-5404	499	8	,	,	PUNCT
ejpam-5404	499	9	2010	2010	NUM
ejpam-5404	499	10	.	.	PUNCT
ejpam-5404	500	1	[	[	X
ejpam-5404	500	2	12	12	NUM
ejpam-5404	500	3	]	]	PUNCT
ejpam-5404	500	4	m.	m.	NOUN
ejpam-5404	500	5	a.	a.	PROPN
ejpam-5404	500	6	dokuyucu	dokuyucu	PROPN
ejpam-5404	500	7	,	,	PUNCT
ejpam-5404	500	8	e.	e.	PROPN
ejpam-5404	500	9	celik	celik	PROPN
ejpam-5404	500	10	,	,	PUNCT
ejpam-5404	500	11	h.	h.	PROPN
ejpam-5404	500	12	bulut	bulut	PROPN
ejpam-5404	500	13	,	,	PUNCT
ejpam-5404	500	14	and	and	CCONJ
ejpam-5404	500	15	h.	h.	PROPN
ejpam-5404	500	16	m.	m.	PROPN
ejpam-5404	500	17	baskonus	baskonus	PROPN
ejpam-5404	500	18	.	.	PUNCT
ejpam-5404	501	1	cancer	cancer	NOUN
ejpam-5404	501	2	treatment	treatment	NOUN
ejpam-5404	501	3	model	model	NOUN
ejpam-5404	501	4	with	with	ADP
ejpam-5404	501	5	the	the	DET
ejpam-5404	501	6	caputo	caputo	PROPN
ejpam-5404	501	7	-	-	PUNCT
ejpam-5404	501	8	fabrizio	fabrizio	PROPN
ejpam-5404	501	9	fractional	fractional	PROPN
ejpam-5404	501	10	derivative	derivative	NOUN
ejpam-5404	501	11	.	.	PUNCT
ejpam-5404	502	1	european	european	PROPN
ejpam-5404	502	2	physical	physical	PROPN
ejpam-5404	502	3	journal	journal	PROPN
ejpam-5404	502	4	plus	plus	CCONJ
ejpam-5404	502	5	,	,	PUNCT
ejpam-5404	502	6	133(3):1–6	133(3):1–6	NUM
ejpam-5404	502	7	,	,	PUNCT
ejpam-5404	502	8	2018	2018	NUM
ejpam-5404	502	9	.	.	PUNCT
ejpam-5404	503	1	[	[	X
ejpam-5404	503	2	13	13	NUM
ejpam-5404	503	3	]	]	PUNCT
ejpam-5404	503	4	m.	m.	PROPN
ejpam-5404	503	5	f.	f.	PROPN
ejpam-5404	503	6	faraloya	faraloya	PROPN
ejpam-5404	503	7	,	,	PUNCT
ejpam-5404	503	8	s.	s.	PROPN
ejpam-5404	503	9	shafie	shafie	PROPN
ejpam-5404	503	10	,	,	PUNCT
ejpam-5404	503	11	f.	f.	PROPN
ejpam-5404	503	12	m.	m.	PROPN
ejpam-5404	503	13	siam	siam	PROPN
ejpam-5404	503	14	,	,	PUNCT
ejpam-5404	503	15	r.	r.	PROPN
ejpam-5404	503	16	mahmud	mahmud	PROPN
ejpam-5404	503	17	,	,	PUNCT
ejpam-5404	503	18	and	and	CCONJ
ejpam-5404	503	19	s.	s.	PROPN
ejpam-5404	503	20	o.	o.	PROPN
ejpam-5404	503	21	ajadi	ajadi	PROPN
ejpam-5404	503	22	.	.	PUNCT
ejpam-5404	504	1	numerical	numerical	PROPN
ejpam-5404	504	2	simulation	simulation	PROPN
ejpam-5404	504	3	and	and	CCONJ
ejpam-5404	504	4	optimization	optimization	NOUN
ejpam-5404	504	5	of	of	ADP
ejpam-5404	504	6	radiotherapy	radiotherapy	NOUN
ejpam-5404	504	7	cancer	cancer	NOUN
ejpam-5404	504	8	treatments	treatment	NOUN
ejpam-5404	504	9	using	use	VERB
ejpam-5404	504	10	the	the	DET
ejpam-5404	504	11	caputo	caputo	PROPN
ejpam-5404	504	12	fractional	fractional	PROPN
ejpam-5404	504	13	derivative	derivative	PROPN
ejpam-5404	504	14	.	.	PUNCT
ejpam-5404	505	1	malaysian	malaysian	ADJ
ejpam-5404	505	2	journal	journal	PROPN
ejpam-5404	505	3	of	of	ADP
ejpam-5404	505	4	mathematical	mathematical	ADJ
ejpam-5404	505	5	sciences	sciences	PROPN
ejpam-5404	505	6	,	,	PUNCT
ejpam-5404	505	7	15(2):161–187	15(2):161–187	NUM
ejpam-5404	505	8	,	,	PUNCT
ejpam-5404	505	9	2021	2021	NUM
ejpam-5404	505	10	.	.	PUNCT
ejpam-5404	506	1	[	[	X
ejpam-5404	506	2	14	14	NUM
ejpam-5404	506	3	]	]	X
ejpam-5404	506	4	d.	d.	PROPN
ejpam-5404	506	5	j.	j.	PROPN
ejpam-5404	506	6	higham	higham	PROPN
ejpam-5404	506	7	.	.	PUNCT
ejpam-5404	507	1	an	an	DET
ejpam-5404	507	2	algorithmic	algorithmic	ADJ
ejpam-5404	507	3	introduction	introduction	NOUN
ejpam-5404	507	4	to	to	ADP
ejpam-5404	507	5	numerical	numerical	ADJ
ejpam-5404	507	6	simulation	simulation	NOUN
ejpam-5404	507	7	of	of	ADP
ejpam-5404	507	8	stochastic	stochastic	ADJ
ejpam-5404	507	9	differential	differential	ADJ
ejpam-5404	507	10	equations	equation	NOUN
ejpam-5404	507	11	.	.	PUNCT
ejpam-5404	508	1	siam	siam	PROPN
ejpam-5404	508	2	review	review	PROPN
ejpam-5404	508	3	,	,	PUNCT
ejpam-5404	508	4	43(3):525–546	43(3):525–546	PROPN
ejpam-5404	508	5	,	,	PUNCT
ejpam-5404	508	6	2001	2001	NUM
ejpam-5404	508	7	.	.	PUNCT
ejpam-5404	509	1	[	[	X
ejpam-5404	509	2	15	15	NUM
ejpam-5404	509	3	]	]	X
ejpam-5404	509	4	tahir	tahir	PROPN
ejpam-5404	509	5	khan	khan	PROPN
ejpam-5404	509	6	,	,	PUNCT
ejpam-5404	509	7	hyo	hyo	PROPN
ejpam-5404	509	8	jung	jung	PROPN
ejpam-5404	509	9	il	il	PROPN
ejpam-5404	509	10	,	,	PUNCT
ejpam-5404	509	11	and	and	CCONJ
ejpam-5404	509	12	gul	gul	PROPN
ejpam-5404	509	13	zaman	zaman	PROPN
ejpam-5404	509	14	.	.	PUNCT
ejpam-5404	510	1	a	a	DET
ejpam-5404	510	2	stochastic	stochastic	ADJ
ejpam-5404	510	3	model	model	NOUN
ejpam-5404	510	4	for	for	ADP
ejpam-5404	510	5	the	the	DET
ejpam-5404	510	6	transmission	transmission	NOUN
ejpam-5404	510	7	dynamics	dynamic	NOUN
ejpam-5404	510	8	of	of	ADP
ejpam-5404	510	9	hepatitis	hepatitis	PROPN
ejpam-5404	510	10	b	b	PROPN
ejpam-5404	510	11	virus	virus	NOUN
ejpam-5404	510	12	.	.	PUNCT
ejpam-5404	511	1	journal	journal	PROPN
ejpam-5404	511	2	of	of	ADP
ejpam-5404	511	3	biological	biological	ADJ
ejpam-5404	511	4	dynamics	dynamic	NOUN
ejpam-5404	511	5	,	,	PUNCT
ejpam-5404	511	6	13(1):328–344	13(1):328–344	PROPN
ejpam-5404	511	7	,	,	PUNCT
ejpam-5404	511	8	2019	2019	NUM
ejpam-5404	511	9	.	.	PUNCT
ejpam-5404	512	1	[	[	X
ejpam-5404	512	2	16	16	NUM
ejpam-5404	512	3	]	]	PUNCT
ejpam-5404	512	4	p.	p.	PROPN
ejpam-5404	512	5	e.	e.	PROPN
ejpam-5404	512	6	kloeden	kloeden	PROPN
ejpam-5404	512	7	and	and	CCONJ
ejpam-5404	512	8	e.	e.	PROPN
ejpam-5404	512	9	platen	platen	PROPN
ejpam-5404	512	10	.	.	PUNCT
ejpam-5404	513	1	numerical	numerical	ADJ
ejpam-5404	513	2	solution	solution	NOUN
ejpam-5404	513	3	of	of	ADP
ejpam-5404	513	4	stochastic	stochastic	ADJ
ejpam-5404	513	5	differential	differential	ADJ
ejpam-5404	513	6	equations	equation	NOUN
ejpam-5404	513	7	.	.	PUNCT
ejpam-5404	514	1	springer	springer	NOUN
ejpam-5404	514	2	-	-	PUNCT
ejpam-5404	514	3	verlag	verlag	PROPN
ejpam-5404	514	4	,	,	PUNCT
ejpam-5404	514	5	1992	1992	NUM
ejpam-5404	514	6	.	.	PUNCT
ejpam-5404	515	1	[	[	X
ejpam-5404	515	2	17	17	NUM
ejpam-5404	515	3	]	]	X
ejpam-5404	515	4	e.	e.	PROPN
ejpam-5404	515	5	d.	d.	PROPN
ejpam-5404	515	6	lehmann	lehmann	PROPN
ejpam-5404	515	7	and	and	CCONJ
ejpam-5404	515	8	t.	t.	PROPN
ejpam-5404	515	9	deutsch	deutsch	PROPN
ejpam-5404	515	10	.	.	PUNCT
ejpam-5404	516	1	a	a	DET
ejpam-5404	516	2	physiological	physiological	ADJ
ejpam-5404	516	3	model	model	NOUN
ejpam-5404	516	4	of	of	ADP
ejpam-5404	516	5	glucose	glucose	NOUN
ejpam-5404	516	6	-	-	PUNCT
ejpam-5404	516	7	insulin	insulin	NOUN
ejpam-5404	516	8	interaction	interaction	NOUN
ejpam-5404	516	9	in	in	ADP
ejpam-5404	516	10	type	type	NOUN
ejpam-5404	516	11	1	1	NUM
ejpam-5404	516	12	diabetes	diabetes	NOUN
ejpam-5404	516	13	mellitus	mellitus	NOUN
ejpam-5404	516	14	.	.	PUNCT
ejpam-5404	517	1	journal	journal	PROPN
ejpam-5404	517	2	of	of	ADP
ejpam-5404	517	3	biomedical	biomedical	ADJ
ejpam-5404	517	4	engineering	engineering	NOUN
ejpam-5404	517	5	,	,	PUNCT
ejpam-5404	517	6	14(3):235–242	14(3):235–242	PROPN
ejpam-5404	517	7	,	,	PUNCT
ejpam-5404	517	8	1992	1992	NUM
ejpam-5404	517	9	.	.	PUNCT
ejpam-5404	518	1	[	[	X
ejpam-5404	518	2	18	18	NUM
ejpam-5404	518	3	]	]	PUNCT
ejpam-5404	518	4	j.	j.	PROPN
ejpam-5404	518	5	li	li	PROPN
ejpam-5404	518	6	,	,	PUNCT
ejpam-5404	518	7	y.	y.	PROPN
ejpam-5404	518	8	kuang	kuang	PROPN
ejpam-5404	518	9	,	,	PUNCT
ejpam-5404	518	10	and	and	CCONJ
ejpam-5404	518	11	c.	c.	PROPN
ejpam-5404	518	12	c.	c.	PROPN
ejpam-5404	518	13	mason	mason	PROPN
ejpam-5404	518	14	.	.	PUNCT
ejpam-5404	519	1	modeling	model	VERB
ejpam-5404	519	2	the	the	DET
ejpam-5404	519	3	glucose	glucose	NOUN
ejpam-5404	519	4	-	-	PUNCT
ejpam-5404	519	5	insulin	insulin	NOUN
ejpam-5404	519	6	regulatory	regulatory	ADJ
ejpam-5404	519	7	system	system	NOUN
ejpam-5404	519	8	and	and	CCONJ
ejpam-5404	519	9	ultradian	ultradian	ADJ
ejpam-5404	519	10	insulin	insulin	NOUN
ejpam-5404	519	11	secretory	secretory	NOUN
ejpam-5404	519	12	oscillations	oscillation	NOUN
ejpam-5404	519	13	with	with	ADP
ejpam-5404	519	14	two	two	NUM
ejpam-5404	519	15	time	time	NOUN
ejpam-5404	519	16	delays	delay	NOUN
ejpam-5404	519	17	.	.	PUNCT
ejpam-5404	520	1	journal	journal	NOUN
ejpam-5404	520	2	of	of	ADP
ejpam-5404	520	3	theoretical	theoretical	ADJ
ejpam-5404	520	4	biology	biology	NOUN
ejpam-5404	520	5	,	,	PUNCT
ejpam-5404	520	6	242(3):722–735	242(3):722–735	NUM
ejpam-5404	520	7	,	,	PUNCT
ejpam-5404	520	8	2006	2006	NUM
ejpam-5404	520	9	.	.	PUNCT
ejpam-5404	521	1	[	[	X
ejpam-5404	521	2	19	19	NUM
ejpam-5404	521	3	]	]	PUNCT
ejpam-5404	521	4	x.	x.	NOUN
ejpam-5404	521	5	mao	mao	PROPN
ejpam-5404	521	6	.	.	PUNCT
ejpam-5404	522	1	stochastic	stochastic	ADJ
ejpam-5404	522	2	differential	differential	ADJ
ejpam-5404	522	3	equations	equation	NOUN
ejpam-5404	522	4	and	and	CCONJ
ejpam-5404	522	5	applications	application	NOUN
ejpam-5404	522	6	.	.	PUNCT
ejpam-5404	523	1	horwood	horwood	PROPN
ejpam-5404	523	2	publishing	publishing	PROPN
ejpam-5404	523	3	,	,	PUNCT
ejpam-5404	523	4	chichester	chichester	PROPN
ejpam-5404	523	5	,	,	PUNCT
ejpam-5404	523	6	uk	uk	PROPN
ejpam-5404	523	7	,	,	PUNCT
ejpam-5404	523	8	1997	1997	NUM
ejpam-5404	523	9	.	.	PUNCT
ejpam-5404	524	1	[	[	X
ejpam-5404	524	2	20	20	NUM
ejpam-5404	524	3	]	]	PUNCT
ejpam-5404	524	4	s.	s.	PROPN
ejpam-5404	524	5	b.	b.	PROPN
ejpam-5404	524	6	minucci	minucci	PROPN
ejpam-5404	524	7	,	,	PUNCT
ejpam-5404	524	8	r.	r.	PROPN
ejpam-5404	524	9	l.	l.	PROPN
ejpam-5404	524	10	heise	heise	PROPN
ejpam-5404	524	11	,	,	PUNCT
ejpam-5404	524	12	and	and	CCONJ
ejpam-5404	524	13	a.	a.	PROPN
ejpam-5404	524	14	m.	m.	PROPN
ejpam-5404	524	15	reynolds	reynolds	PROPN
ejpam-5404	524	16	.	.	PUNCT
ejpam-5404	525	1	review	review	NOUN
ejpam-5404	525	2	of	of	ADP
ejpam-5404	525	3	mathematical	mathematical	ADJ
ejpam-5404	525	4	modeling	modeling	NOUN
ejpam-5404	525	5	of	of	ADP
ejpam-5404	525	6	the	the	DET
ejpam-5404	525	7	inflammatory	inflammatory	ADJ
ejpam-5404	525	8	response	response	NOUN
ejpam-5404	525	9	in	in	ADP
ejpam-5404	525	10	lung	lung	NOUN
ejpam-5404	525	11	infections	infection	NOUN
ejpam-5404	525	12	and	and	CCONJ
ejpam-5404	525	13	injuries	injury	NOUN
ejpam-5404	525	14	.	.	PUNCT
ejpam-5404	526	1	frontiers	frontier	NOUN
ejpam-5404	526	2	in	in	ADP
ejpam-5404	526	3	applied	apply	VERB
ejpam-5404	526	4	mathematics	mathematic	NOUN
ejpam-5404	526	5	and	and	CCONJ
ejpam-5404	526	6	statistics	statistic	NOUN
ejpam-5404	526	7	,	,	PUNCT
ejpam-5404	526	8	1:1–25	1:1–25	NUM
ejpam-5404	526	9	,	,	PUNCT
ejpam-5404	526	10	2020	2020	NUM
ejpam-5404	526	11	.	.	PUNCT
ejpam-5404	527	1	[	[	X
ejpam-5404	527	2	21	21	NUM
ejpam-5404	527	3	]	]	X
ejpam-5404	527	4	h.	h.	PROPN
ejpam-5404	527	5	niijima	niijima	PROPN
ejpam-5404	527	6	,	,	PUNCT
ejpam-5404	527	7	h.	h.	PROPN
ejpam-5404	527	8	shimizu	shimizu	PROPN
ejpam-5404	527	9	,	,	PUNCT
ejpam-5404	527	10	m.	m.	NOUN
ejpam-5404	527	11	iwata	iwata	PROPN
ejpam-5404	527	12	,	,	PUNCT
ejpam-5404	527	13	and	and	CCONJ
ejpam-5404	527	14	r.	r.	PROPN
ejpam-5404	527	15	kuwahara	kuwahara	PROPN
ejpam-5404	527	16	.	.	PUNCT
ejpam-5404	528	1	mathematical	mathematical	ADJ
ejpam-5404	528	2	model	model	NOUN
ejpam-5404	528	3	of	of	ADP
ejpam-5404	528	4	glucoseinsulin	glucoseinsulin	PROPN
ejpam-5404	528	5	interaction	interaction	NOUN
ejpam-5404	528	6	incorporating	incorporate	VERB
ejpam-5404	528	7	the	the	DET
ejpam-5404	528	8	influence	influence	NOUN
ejpam-5404	528	9	of	of	ADP
ejpam-5404	528	10	counter	counter	ADJ
ejpam-5404	528	11	-	-	ADJ
ejpam-5404	528	12	regulatory	regulatory	ADJ
ejpam-5404	528	13	hormones	hormone	NOUN
ejpam-5404	528	14	.	.	PUNCT
ejpam-5404	529	1	maths	math	NOUN
ejpam-5404	529	2	.	.	PUNCT
ejpam-5404	530	1	m.	m.	PROPN
ejpam-5404	530	2	alzahrani	alzahrani	PROPN
ejpam-5404	530	3	/	/	SYM
ejpam-5404	530	4	eur	eur	PROPN
ejpam-5404	530	5	.	.	PUNCT
ejpam-5404	531	1	j.	j.	PROPN
ejpam-5404	531	2	pure	pure	PROPN
ejpam-5404	531	3	appl	appl	PROPN
ejpam-5404	531	4	.	.	PROPN
ejpam-5404	531	5	math	math	PROPN
ejpam-5404	531	6	,	,	PUNCT
ejpam-5404	531	7	18	18	NUM
ejpam-5404	531	8	(	(	PUNCT
ejpam-5404	531	9	1	1	NUM
ejpam-5404	531	10	)	)	PUNCT
ejpam-5404	531	11	(	(	PUNCT
ejpam-5404	531	12	2025	2025	NUM
ejpam-5404	531	13	)	)	PUNCT
ejpam-5404	531	14	,	,	PUNCT
ejpam-5404	531	15	5404	5404	NUM
ejpam-5404	531	16	22	22	NUM
ejpam-5404	531	17	of	of	ADP
ejpam-5404	531	18	22	22	NUM
ejpam-5404	531	19	ematical	ematical	ADJ
ejpam-5404	531	20	biosciences	bioscience	NOUN
ejpam-5404	531	21	and	and	CCONJ
ejpam-5404	531	22	engineering	engineering	NOUN
ejpam-5404	531	23	,	,	PUNCT
ejpam-5404	531	24	5(4):803–817	5(4):803–817	PROPN
ejpam-5404	531	25	,	,	PUNCT
ejpam-5404	531	26	2008	2008	NUM
ejpam-5404	531	27	.	.	PUNCT
ejpam-5404	532	1	[	[	X
ejpam-5404	532	2	22	22	NUM
ejpam-5404	532	3	]	]	X
ejpam-5404	532	4	n.	n.	PROPN
ejpam-5404	532	5	i.	i.	PROPN
ejpam-5404	532	6	okposo	okposo	PROPN
ejpam-5404	532	7	,	,	PUNCT
ejpam-5404	532	8	e.	e.	PROPN
ejpam-5404	532	9	addai	addai	PROPN
ejpam-5404	532	10	,	,	PUNCT
ejpam-5404	532	11	j.	j.	PROPN
ejpam-5404	532	12	s.	s.	PROPN
ejpam-5404	532	13	apanapudor	apanapudor	PROPN
ejpam-5404	532	14	,	,	PUNCT
ejpam-5404	532	15	et	et	PROPN
ejpam-5404	532	16	al	al	PROPN
ejpam-5404	532	17	.	.	PUNCT
ejpam-5404	533	1	a	a	DET
ejpam-5404	533	2	study	study	NOUN
ejpam-5404	533	3	on	on	ADP
ejpam-5404	533	4	a	a	DET
ejpam-5404	533	5	monkeypox	monkeypox	NOUN
ejpam-5404	533	6	transmission	transmission	NOUN
ejpam-5404	533	7	model	model	NOUN
ejpam-5404	533	8	within	within	ADP
ejpam-5404	533	9	the	the	DET
ejpam-5404	533	10	scope	scope	NOUN
ejpam-5404	533	11	of	of	ADP
ejpam-5404	533	12	fractal	fractal	ADJ
ejpam-5404	533	13	–	–	PUNCT
ejpam-5404	533	14	fractional	fractional	ADJ
ejpam-5404	533	15	derivative	derivative	NOUN
ejpam-5404	533	16	with	with	ADP
ejpam-5404	533	17	power	power	NOUN
ejpam-5404	533	18	-	-	PUNCT
ejpam-5404	533	19	law	law	NOUN
ejpam-5404	533	20	kernel	kernel	NOUN
ejpam-5404	533	21	.	.	PUNCT
ejpam-5404	534	1	european	european	PROPN
ejpam-5404	534	2	physical	physical	PROPN
ejpam-5404	534	3	journal	journal	PROPN
ejpam-5404	534	4	plus	plus	CCONJ
ejpam-5404	534	5	,	,	PUNCT
ejpam-5404	534	6	138:684	138:684	NUM
ejpam-5404	534	7	,	,	PUNCT
ejpam-5404	534	8	2023	2023	NUM
ejpam-5404	534	9	.	.	PUNCT
ejpam-5404	535	1	[	[	X
ejpam-5404	535	2	23	23	NUM
ejpam-5404	535	3	]	]	X
ejpam-5404	535	4	marcelo	marcelo	PROPN
ejpam-5404	535	5	otero	otero	PROPN
ejpam-5404	535	6	and	and	CCONJ
ejpam-5404	535	7	hernán	hernán	PROPN
ejpam-5404	535	8	g.	g.	PROPN
ejpam-5404	535	9	solari	solari	PROPN
ejpam-5404	535	10	.	.	PUNCT
ejpam-5404	536	1	stochastic	stochastic	ADJ
ejpam-5404	536	2	eco	eco	PROPN
ejpam-5404	536	3	-	-	PUNCT
ejpam-5404	536	4	epidemiological	epidemiological	ADJ
ejpam-5404	536	5	model	model	NOUN
ejpam-5404	536	6	of	of	ADP
ejpam-5404	536	7	dengue	dengue	NOUN
ejpam-5404	536	8	disease	disease	NOUN
ejpam-5404	536	9	transmission	transmission	NOUN
ejpam-5404	536	10	by	by	ADP
ejpam-5404	536	11	aedes	aedes	PROPN
ejpam-5404	536	12	aegypti	aegypti	VERB
ejpam-5404	536	13	mosquito	mosquito	PROPN
ejpam-5404	536	14	.	.	PUNCT
ejpam-5404	537	1	mathematical	mathematical	ADJ
ejpam-5404	537	2	biosciences	bioscience	NOUN
ejpam-5404	537	3	,	,	PUNCT
ejpam-5404	537	4	223(1):32	223(1):32	NUM
ejpam-5404	537	5	–	–	PUNCT
ejpam-5404	537	6	46	46	NUM
ejpam-5404	537	7	,	,	PUNCT
ejpam-5404	537	8	2010	2010	NUM
ejpam-5404	537	9	.	.	PUNCT
ejpam-5404	538	1	[	[	X
ejpam-5404	538	2	24	24	NUM
ejpam-5404	538	3	]	]	PUNCT
ejpam-5404	538	4	p.	p.	NOUN
ejpam-5404	538	5	palumbo	palumbo	PROPN
ejpam-5404	538	6	,	,	PUNCT
ejpam-5404	538	7	s.	s.	PROPN
ejpam-5404	538	8	panunzi	panunzi	PROPN
ejpam-5404	538	9	,	,	PUNCT
ejpam-5404	538	10	and	and	CCONJ
ejpam-5404	538	11	a.	a.	PROPN
ejpam-5404	538	12	de	de	PROPN
ejpam-5404	538	13	gaetano	gaetano	PROPN
ejpam-5404	538	14	.	.	PUNCT
ejpam-5404	539	1	qualitative	qualitative	ADJ
ejpam-5404	539	2	behavior	behavior	NOUN
ejpam-5404	539	3	of	of	ADP
ejpam-5404	539	4	a	a	DET
ejpam-5404	539	5	family	family	NOUN
ejpam-5404	539	6	of	of	ADP
ejpam-5404	539	7	delay	delay	NOUN
ejpam-5404	539	8	-	-	PUNCT
ejpam-5404	539	9	differential	differential	NOUN
ejpam-5404	539	10	models	model	NOUN
ejpam-5404	539	11	of	of	ADP
ejpam-5404	539	12	the	the	DET
ejpam-5404	539	13	glucose	glucose	NOUN
ejpam-5404	539	14	-	-	PUNCT
ejpam-5404	539	15	insulin	insulin	NOUN
ejpam-5404	539	16	system	system	NOUN
ejpam-5404	539	17	.	.	PUNCT
ejpam-5404	540	1	siam	siam	PROPN
ejpam-5404	540	2	journal	journal	PROPN
ejpam-5404	540	3	on	on	ADP
ejpam-5404	540	4	applied	apply	VERB
ejpam-5404	540	5	dynamical	dynamical	ADJ
ejpam-5404	540	6	systems	system	NOUN
ejpam-5404	540	7	,	,	PUNCT
ejpam-5404	540	8	6(1):63–94	6(1):63–94	NUM
ejpam-5404	540	9	,	,	PUNCT
ejpam-5404	540	10	2007	2007	NUM
ejpam-5404	540	11	.	.	PUNCT
ejpam-5404	541	1	[	[	X
ejpam-5404	541	2	25	25	NUM
ejpam-5404	541	3	]	]	PUNCT
ejpam-5404	541	4	s.	s.	PROPN
ejpam-5404	541	5	saber	saber	PROPN
ejpam-5404	541	6	and	and	CCONJ
ejpam-5404	541	7	a.	a.	NOUN
ejpam-5404	541	8	alalyani	alalyani	PROPN
ejpam-5404	541	9	.	.	PUNCT
ejpam-5404	542	1	stability	stability	NOUN
ejpam-5404	542	2	analysis	analysis	NOUN
ejpam-5404	542	3	and	and	CCONJ
ejpam-5404	542	4	numerical	numerical	ADJ
ejpam-5404	542	5	simulations	simulation	NOUN
ejpam-5404	542	6	of	of	ADP
ejpam-5404	542	7	ivgtt	ivgtt	PROPN
ejpam-5404	542	8	glucoseinsulin	glucoseinsulin	PROPN
ejpam-5404	542	9	interaction	interaction	NOUN
ejpam-5404	542	10	models	model	NOUN
ejpam-5404	542	11	with	with	ADP
ejpam-5404	542	12	two	two	NUM
ejpam-5404	542	13	time	time	NOUN
ejpam-5404	542	14	delays	delay	NOUN
ejpam-5404	542	15	.	.	PUNCT
ejpam-5404	543	1	mathematical	mathematical	ADJ
ejpam-5404	543	2	modeling	modeling	NOUN
ejpam-5404	543	3	and	and	CCONJ
ejpam-5404	543	4	analysis	analysis	NOUN
ejpam-5404	543	5	,	,	PUNCT
ejpam-5404	543	6	27:383–407	27:383–407	PROPN
ejpam-5404	543	7	,	,	PUNCT
ejpam-5404	543	8	2022	2022	NUM
ejpam-5404	543	9	.	.	PUNCT
ejpam-5404	544	1	[	[	X
ejpam-5404	544	2	26	26	NUM
ejpam-5404	544	3	]	]	PUNCT
ejpam-5404	544	4	s.	s.	PROPN
ejpam-5404	544	5	saber	saber	PROPN
ejpam-5404	544	6	,	,	PUNCT
ejpam-5404	544	7	e.	e.	PROPN
ejpam-5404	544	8	b.	b.	PROPN
ejpam-5404	544	9	m.	m.	PROPN
ejpam-5404	544	10	bashier	bashier	PROPN
ejpam-5404	544	11	,	,	PUNCT
ejpam-5404	544	12	s.	s.	PROPN
ejpam-5404	544	13	m.	m.	PROPN
ejpam-5404	544	14	alzahrani	alzahrani	PROPN
ejpam-5404	544	15	,	,	PUNCT
ejpam-5404	544	16	and	and	CCONJ
ejpam-5404	544	17	i.	i.	PROPN
ejpam-5404	544	18	a.	a.	PROPN
ejpam-5404	544	19	noaman	noaman	PROPN
ejpam-5404	544	20	.	.	PUNCT
ejpam-5404	545	1	a	a	DET
ejpam-5404	545	2	mathematical	mathematical	ADJ
ejpam-5404	545	3	model	model	NOUN
ejpam-5404	545	4	of	of	ADP
ejpam-5404	545	5	glucose	glucose	NOUN
ejpam-5404	545	6	-	-	PUNCT
ejpam-5404	545	7	insulin	insulin	NOUN
ejpam-5404	545	8	interaction	interaction	NOUN
ejpam-5404	545	9	with	with	ADP
ejpam-5404	545	10	time	time	NOUN
ejpam-5404	545	11	delay	delay	NOUN
ejpam-5404	545	12	.	.	PUNCT
ejpam-5404	546	1	journal	journal	PROPN
ejpam-5404	546	2	of	of	ADP
ejpam-5404	546	3	applied	applied	ADJ
ejpam-5404	546	4	&	&	CCONJ
ejpam-5404	546	5	computational	computational	ADJ
ejpam-5404	546	6	mathematics	mathematic	NOUN
ejpam-5404	546	7	,	,	PUNCT
ejpam-5404	546	8	3(7):416–421	3(7):416–421	NUM
ejpam-5404	546	9	,	,	PUNCT
ejpam-5404	546	10	2018	2018	NUM
ejpam-5404	546	11	.	.	PUNCT
ejpam-5404	547	1	[	[	X
ejpam-5404	547	2	27	27	NUM
ejpam-5404	547	3	]	]	X
ejpam-5404	547	4	c.	c.	PROPN
ejpam-5404	547	5	l.	l.	PROPN
ejpam-5404	547	6	saunders	saunders	PROPN
ejpam-5404	547	7	et	et	PROPN
ejpam-5404	547	8	al	al	PROPN
ejpam-5404	547	9	.	.	PUNCT
ejpam-5404	548	1	a	a	DET
ejpam-5404	548	2	stochastic	stochastic	ADJ
ejpam-5404	548	3	model	model	NOUN
ejpam-5404	548	4	of	of	ADP
ejpam-5404	548	5	the	the	DET
ejpam-5404	548	6	glucose	glucose	NOUN
ejpam-5404	548	7	-	-	PUNCT
ejpam-5404	548	8	insulin	insulin	NOUN
ejpam-5404	548	9	regulatory	regulatory	ADJ
ejpam-5404	548	10	system	system	NOUN
ejpam-5404	548	11	:	:	PUNCT
ejpam-5404	548	12	a	a	DET
ejpam-5404	548	13	probabilistic	probabilistic	ADJ
ejpam-5404	548	14	approach	approach	NOUN
ejpam-5404	548	15	to	to	ADP
ejpam-5404	548	16	understanding	understand	VERB
ejpam-5404	548	17	diabetes	diabetes	NOUN
ejpam-5404	548	18	.	.	PUNCT
ejpam-5404	549	1	computational	computational	ADJ
ejpam-5404	549	2	biology	biology	NOUN
ejpam-5404	549	3	and	and	CCONJ
ejpam-5404	549	4	chemistry	chemistry	NOUN
ejpam-5404	549	5	,	,	PUNCT
ejpam-5404	549	6	33(2):144–155	33(2):144–155	NUM
ejpam-5404	549	7	,	,	PUNCT
ejpam-5404	549	8	2009	2009	NUM
ejpam-5404	549	9	.	.	PUNCT
ejpam-5404	550	1	[	[	X
ejpam-5404	550	2	28	28	NUM
ejpam-5404	550	3	]	]	X
ejpam-5404	550	4	m.	m.	NOUN
ejpam-5404	550	5	sivashankar	sivashankar	PROPN
ejpam-5404	550	6	,	,	PUNCT
ejpam-5404	550	7	s.	s.	PROPN
ejpam-5404	550	8	sabarinathan	sabarinathan	PROPN
ejpam-5404	550	9	,	,	PUNCT
ejpam-5404	550	10	kottakkaran	kottakkaran	VERB
ejpam-5404	550	11	sooppy	sooppy	ADJ
ejpam-5404	550	12	nisar	nisar	PROPN
ejpam-5404	550	13	,	,	PUNCT
ejpam-5404	550	14	c.	c.	PROPN
ejpam-5404	550	15	ravichandran	ravichandran	NOUN
ejpam-5404	550	16	,	,	PUNCT
ejpam-5404	550	17	and	and	CCONJ
ejpam-5404	550	18	b.	b.	PROPN
ejpam-5404	550	19	v.	v.	PROPN
ejpam-5404	550	20	senthil	senthil	PROPN
ejpam-5404	550	21	kumar	kumar	PROPN
ejpam-5404	550	22	.	.	PUNCT
ejpam-5404	551	1	some	some	DET
ejpam-5404	551	2	properties	property	NOUN
ejpam-5404	551	3	and	and	CCONJ
ejpam-5404	551	4	stability	stability	NOUN
ejpam-5404	551	5	of	of	ADP
ejpam-5404	551	6	helmholtz	helmholtz	NOUN
ejpam-5404	551	7	model	model	NOUN
ejpam-5404	551	8	involved	involve	VERB
ejpam-5404	551	9	with	with	ADP
ejpam-5404	551	10	nonlinear	nonlinear	ADJ
ejpam-5404	551	11	fractional	fractional	ADJ
ejpam-5404	551	12	difference	difference	NOUN
ejpam-5404	551	13	equations	equation	NOUN
ejpam-5404	551	14	and	and	CCONJ
ejpam-5404	551	15	its	its	PRON
ejpam-5404	551	16	relevance	relevance	NOUN
ejpam-5404	551	17	with	with	ADP
ejpam-5404	551	18	quadcopter	quadcopter	NOUN
ejpam-5404	551	19	.	.	PUNCT
ejpam-5404	552	1	european	european	PROPN
ejpam-5404	552	2	physical	physical	PROPN
ejpam-5404	552	3	journal	journal	PROPN
ejpam-5404	552	4	plus	plus	CCONJ
ejpam-5404	552	5	,	,	PUNCT
ejpam-5404	552	6	168(3):113–161	168(3):113–161	NUM
ejpam-5404	552	7	,	,	PUNCT
ejpam-5404	552	8	2023	2023	NUM
ejpam-5404	552	9	.	.	PUNCT
ejpam-5404	553	1	[	[	X
ejpam-5404	553	2	29	29	NUM
ejpam-5404	553	3	]	]	X
ejpam-5404	553	4	b.	b.	PROPN
ejpam-5404	553	5	g.	g.	PROPN
ejpam-5404	553	6	topp	topp	PROPN
ejpam-5404	553	7	,	,	PUNCT
ejpam-5404	553	8	k.	k.	PROPN
ejpam-5404	553	9	promislow	promislow	PROPN
ejpam-5404	553	10	,	,	PUNCT
ejpam-5404	553	11	g.	g.	PROPN
ejpam-5404	553	12	de	de	PROPN
ejpam-5404	553	13	vries	vries	PROPN
ejpam-5404	553	14	,	,	PUNCT
ejpam-5404	553	15	r.	r.	PROPN
ejpam-5404	553	16	m.	m.	PROPN
ejpam-5404	553	17	miura	miura	PROPN
ejpam-5404	553	18	,	,	PUNCT
ejpam-5404	553	19	and	and	CCONJ
ejpam-5404	553	20	d.	d.	PROPN
ejpam-5404	553	21	t.	t.	PROPN
ejpam-5404	553	22	finegood	finegood	PROPN
ejpam-5404	553	23	.	.	PUNCT
ejpam-5404	554	1	a	a	DET
ejpam-5404	554	2	model	model	NOUN
ejpam-5404	554	3	of	of	ADP
ejpam-5404	554	4	β	β	NOUN
ejpam-5404	554	5	-	-	NOUN
ejpam-5404	554	6	cell	cell	NOUN
ejpam-5404	554	7	mass	mass	NOUN
ejpam-5404	554	8	,	,	PUNCT
ejpam-5404	554	9	insulin	insulin	NOUN
ejpam-5404	554	10	,	,	PUNCT
ejpam-5404	554	11	and	and	CCONJ
ejpam-5404	554	12	glucose	glucose	NOUN
ejpam-5404	554	13	kinetics	kinetic	NOUN
ejpam-5404	554	14	:	:	PUNCT
ejpam-5404	554	15	pathways	pathway	NOUN
ejpam-5404	554	16	to	to	ADP
ejpam-5404	554	17	diabetes	diabetes	NOUN
ejpam-5404	554	18	.	.	PUNCT
ejpam-5404	555	1	journal	journal	NOUN
ejpam-5404	555	2	of	of	ADP
ejpam-5404	555	3	theoretical	theoretical	ADJ
ejpam-5404	555	4	biology	biology	NOUN
ejpam-5404	555	5	,	,	PUNCT
ejpam-5404	555	6	206(4):605–619	206(4):605–619	NUM
ejpam-5404	555	7	,	,	PUNCT
ejpam-5404	555	8	2000	2000	NUM
ejpam-5404	555	9	.	.	PUNCT
ejpam-5404	556	1	[	[	X
ejpam-5404	556	2	30	30	NUM
ejpam-5404	556	3	]	]	X
ejpam-5404	556	4	h.	h.	PROPN
ejpam-5404	556	5	wang	wang	PROPN
ejpam-5404	556	6	,	,	PUNCT
ejpam-5404	556	7	j.	j.	PROPN
ejpam-5404	556	8	li	li	PROPN
ejpam-5404	556	9	,	,	PUNCT
ejpam-5404	556	10	and	and	CCONJ
ejpam-5404	556	11	y.	y.	PROPN
ejpam-5404	556	12	kuang	kuang	PROPN
ejpam-5404	556	13	.	.	PUNCT
ejpam-5404	557	1	enhanced	enhance	VERB
ejpam-5404	557	2	modelling	modelling	NOUN
ejpam-5404	557	3	of	of	ADP
ejpam-5404	557	4	the	the	DET
ejpam-5404	557	5	glucose	glucose	NOUN
ejpam-5404	557	6	-	-	PUNCT
ejpam-5404	557	7	insulin	insulin	NOUN
ejpam-5404	557	8	system	system	NOUN
ejpam-5404	557	9	and	and	CCONJ
ejpam-5404	557	10	its	its	PRON
ejpam-5404	557	11	applications	application	NOUN
ejpam-5404	557	12	in	in	ADP
ejpam-5404	557	13	insulin	insulin	NOUN
ejpam-5404	557	14	therapies	therapy	NOUN
ejpam-5404	557	15	.	.	PUNCT
ejpam-5404	558	1	journal	journal	NOUN
ejpam-5404	558	2	of	of	ADP
ejpam-5404	558	3	biological	biological	ADJ
ejpam-5404	558	4	dynamics	dynamic	NOUN
ejpam-5404	558	5	,	,	PUNCT
ejpam-5404	558	6	3(1):22–38	3(1):22–38	NUM
ejpam-5404	558	7	,	,	PUNCT
ejpam-5404	558	8	2009	2009	NUM
ejpam-5404	558	9	.	.	PUNCT
ejpam-5404	559	1	[	[	X
ejpam-5404	559	2	31	31	NUM
ejpam-5404	559	3	]	]	PUNCT
ejpam-5404	559	4	k.	k.	PROPN
ejpam-5404	559	5	wang	wang	PROPN
ejpam-5404	559	6	and	and	CCONJ
ejpam-5404	559	7	s.	s.	PROPN
ejpam-5404	559	8	balaji	balaji	PROPN
ejpam-5404	559	9	.	.	PUNCT
ejpam-5404	560	1	computational	computational	ADJ
ejpam-5404	560	2	modeling	modeling	NOUN
ejpam-5404	560	3	of	of	ADP
ejpam-5404	560	4	insulin	insulin	NOUN
ejpam-5404	560	5	kinetics	kinetic	NOUN
ejpam-5404	560	6	:	:	PUNCT
ejpam-5404	560	7	an	an	DET
ejpam-5404	560	8	overview	overview	NOUN
ejpam-5404	560	9	and	and	CCONJ
ejpam-5404	560	10	experimental	experimental	ADJ
ejpam-5404	560	11	data	datum	NOUN
ejpam-5404	560	12	comparisons	comparison	NOUN
ejpam-5404	560	13	.	.	PUNCT
ejpam-5404	561	1	mathematical	mathematical	ADJ
ejpam-5404	561	2	biosciences	bioscience	NOUN
ejpam-5404	561	3	,	,	PUNCT
ejpam-5404	561	4	197(1):1–12	197(1):1–12	NUM
ejpam-5404	561	5	,	,	PUNCT
ejpam-5404	561	6	2005	2005	NUM
ejpam-5404	561	7	.	.	PUNCT
ejpam-5404	562	1	[	[	X
ejpam-5404	562	2	32	32	NUM
ejpam-5404	562	3	]	]	PUNCT
ejpam-5404	562	4	hannah	hannah	PROPN
ejpam-5404	562	5	woodall	woodall	PROPN
ejpam-5404	562	6	and	and	CCONJ
ejpam-5404	562	7	ben	ben	PROPN
ejpam-5404	562	8	adams	adams	PROPN
ejpam-5404	562	9	.	.	PUNCT
ejpam-5404	563	1	stochastic	stochastic	ADJ
ejpam-5404	563	2	modelling	modelling	NOUN
ejpam-5404	563	3	for	for	ADP
ejpam-5404	563	4	age	age	NOUN
ejpam-5404	563	5	-	-	PUNCT
ejpam-5404	563	6	structured	structure	VERB
ejpam-5404	563	7	dengue	dengue	NOUN
ejpam-5404	563	8	epidemiology	epidemiology	NOUN
ejpam-5404	563	9	with	with	ADP
ejpam-5404	563	10	and	and	CCONJ
ejpam-5404	563	11	without	without	ADP
ejpam-5404	563	12	seasonal	seasonal	ADJ
ejpam-5404	563	13	variation	variation	NOUN
ejpam-5404	563	14	.	.	PUNCT
ejpam-5404	564	1	in	in	ADP
ejpam-5404	564	2	9th	9th	ADJ
ejpam-5404	564	3	european	european	ADJ
ejpam-5404	564	4	conference	conference	NOUN
ejpam-5404	564	5	on	on	ADP
ejpam-5404	564	6	mathematical	mathematical	ADJ
ejpam-5404	564	7	and	and	CCONJ
ejpam-5404	564	8	theoretical	theoretical	ADJ
ejpam-5404	564	9	biology	biology	NOUN
ejpam-5404	564	10	,	,	PUNCT
ejpam-5404	564	11	2014	2014	NUM
ejpam-5404	564	12	.	.	PUNCT
ejpam-5404	565	1	[	[	X
ejpam-5404	565	2	33	33	NUM
ejpam-5404	565	3	]	]	PUNCT
ejpam-5404	565	4	x.	x.	PROPN
ejpam-5404	565	5	zhong	zhong	PROPN
ejpam-5404	565	6	,	,	PUNCT
ejpam-5404	565	7	s.	s.	PROPN
ejpam-5404	565	8	guo	guo	PROPN
ejpam-5404	565	9	,	,	PUNCT
ejpam-5404	565	10	and	and	CCONJ
ejpam-5404	565	11	m.	m.	PROPN
ejpam-5404	565	12	peng	peng	PROPN
ejpam-5404	565	13	.	.	PUNCT
ejpam-5404	566	1	stability	stability	NOUN
ejpam-5404	566	2	of	of	ADP
ejpam-5404	566	3	stochastic	stochastic	ADJ
ejpam-5404	566	4	sirs	sir	NOUN
ejpam-5404	566	5	epidemic	epidemic	NOUN
ejpam-5404	566	6	models	model	NOUN
ejpam-5404	566	7	with	with	ADP
ejpam-5404	566	8	saturated	saturated	ADJ
ejpam-5404	566	9	incidence	incidence	NOUN
ejpam-5404	566	10	rates	rate	NOUN
ejpam-5404	566	11	and	and	CCONJ
ejpam-5404	566	12	delay	delay	NOUN
ejpam-5404	566	13	.	.	PUNCT
ejpam-5404	567	1	stochastic	stochastic	ADJ
ejpam-5404	567	2	analysis	analysis	NOUN
ejpam-5404	567	3	and	and	CCONJ
ejpam-5404	567	4	applications	application	NOUN
ejpam-5404	567	5	,	,	PUNCT
ejpam-5404	567	6	35(1):1–26	35(1):1–26	NUM
ejpam-5404	567	7	,	,	PUNCT
ejpam-5404	567	8	2017	2017	NUM
ejpam-5404	567	9	.	.	PUNCT