id	sid	tid	token	lemma	pos
ejpam-5562	1	1	european	european	PROPN
ejpam-5562	1	2	journal	journal	PROPN
ejpam-5562	1	3	of	of	ADP
ejpam-5562	1	4	pure	pure	ADJ
ejpam-5562	1	5	and	and	CCONJ
ejpam-5562	1	6	applied	applied	ADJ
ejpam-5562	1	7	mathematics	mathematic	NOUN
ejpam-5562	1	8	2025	2025	NUM
ejpam-5562	1	9	,	,	PUNCT
ejpam-5562	1	10	vol	vol	NOUN
ejpam-5562	1	11	.	.	PROPN
ejpam-5562	1	12	18	18	NUM
ejpam-5562	1	13	,	,	PUNCT
ejpam-5562	1	14	issue	issue	NOUN
ejpam-5562	1	15	2	2	NUM
ejpam-5562	1	16	,	,	PUNCT
ejpam-5562	1	17	article	article	NOUN
ejpam-5562	1	18	number	number	NOUN
ejpam-5562	1	19	5562	5562	NUM
ejpam-5562	1	20	issn	issn	PROPN
ejpam-5562	1	21	1307	1307	NUM
ejpam-5562	1	22	-	-	SYM
ejpam-5562	1	23	5543	5543	NUM
ejpam-5562	1	24	–	–	PUNCT
ejpam-5562	1	25	ejpam.com	ejpam.com	X
ejpam-5562	1	26	published	publish	VERB
ejpam-5562	1	27	by	by	ADP
ejpam-5562	1	28	new	new	PROPN
ejpam-5562	1	29	york	york	PROPN
ejpam-5562	1	30	business	business	PROPN
ejpam-5562	1	31	global	global	ADJ
ejpam-5562	1	32	stability	stability	NOUN
ejpam-5562	1	33	analysis	analysis	NOUN
ejpam-5562	1	34	of	of	ADP
ejpam-5562	1	35	parkinson	parkinson	NOUN
ejpam-5562	1	36	’s	’s	PART
ejpam-5562	1	37	disease	disease	NOUN
ejpam-5562	1	38	model	model	NOUN
ejpam-5562	1	39	with	with	ADP
ejpam-5562	1	40	multiple	multiple	ADJ
ejpam-5562	1	41	delay	delay	NOUN
ejpam-5562	1	42	differential	differential	NOUN
ejpam-5562	1	43	equations	equation	NOUN
ejpam-5562	1	44	using	use	VERB
ejpam-5562	1	45	laplace	laplace	NOUN
ejpam-5562	1	46	transform	transform	NOUN
ejpam-5562	1	47	method	method	NOUN
ejpam-5562	1	48	g.	g.	PROPN
ejpam-5562	1	49	veerabathiran1	veerabathiran1	PROPN
ejpam-5562	1	50	,	,	PUNCT
ejpam-5562	1	51	g.	g.	PROPN
ejpam-5562	1	52	jagan	jagan	PROPN
ejpam-5562	1	53	kumar1	kumar1	PROPN
ejpam-5562	1	54	,	,	PUNCT
ejpam-5562	1	55	siriluk	siriluk	NOUN
ejpam-5562	1	56	donganont2,∗	donganont2,∗	PROPN
ejpam-5562	1	57	1	1	NUM
ejpam-5562	1	58	department	department	NOUN
ejpam-5562	1	59	of	of	ADP
ejpam-5562	1	60	mathematics	mathematic	NOUN
ejpam-5562	1	61	,	,	PUNCT
ejpam-5562	1	62	hindustan	hindustan	PROPN
ejpam-5562	1	63	institute	institute	PROPN
ejpam-5562	1	64	of	of	ADP
ejpam-5562	1	65	technology	technology	PROPN
ejpam-5562	1	66	and	and	CCONJ
ejpam-5562	1	67	science	science	NOUN
ejpam-5562	1	68	,	,	PUNCT
ejpam-5562	1	69	chennai	chennai	PROPN
ejpam-5562	1	70	,	,	PUNCT
ejpam-5562	1	71	tamil	tamil	PROPN
ejpam-5562	1	72	nadu	nadu	PROPN
ejpam-5562	1	73	,	,	PUNCT
ejpam-5562	1	74	india	india	PROPN
ejpam-5562	1	75	.	.	PROPN
ejpam-5562	1	76	2	2	NUM
ejpam-5562	1	77	school	school	NOUN
ejpam-5562	1	78	of	of	ADP
ejpam-5562	1	79	science	science	NOUN
ejpam-5562	1	80	,	,	PUNCT
ejpam-5562	1	81	university	university	NOUN
ejpam-5562	1	82	of	of	ADP
ejpam-5562	1	83	phayao	phayao	NOUN
ejpam-5562	1	84	,	,	PUNCT
ejpam-5562	1	85	phayao	phayao	NOUN
ejpam-5562	1	86	56000	56000	NUM
ejpam-5562	1	87	,	,	PUNCT
ejpam-5562	1	88	thailand	thailand	PROPN
ejpam-5562	1	89	.	.	PUNCT
ejpam-5562	2	1	abstract	abstract	PROPN
ejpam-5562	2	2	.	.	PUNCT
ejpam-5562	3	1	in	in	ADP
ejpam-5562	3	2	this	this	DET
ejpam-5562	3	3	manuscript	manuscript	NOUN
ejpam-5562	3	4	,	,	PUNCT
ejpam-5562	3	5	we	we	PRON
ejpam-5562	3	6	investigate	investigate	VERB
ejpam-5562	3	7	the	the	DET
ejpam-5562	3	8	stability	stability	NOUN
ejpam-5562	3	9	analysis	analysis	NOUN
ejpam-5562	3	10	of	of	ADP
ejpam-5562	3	11	parkinson	parkinson	NOUN
ejpam-5562	3	12	’s	’s	PART
ejpam-5562	3	13	disease	disease	NOUN
ejpam-5562	3	14	model	model	NOUN
ejpam-5562	3	15	multiple	multiple	ADJ
ejpam-5562	3	16	delay	delay	NOUN
ejpam-5562	3	17	differential	differential	ADJ
ejpam-5562	3	18	equations	equation	NOUN
ejpam-5562	3	19	(	(	PUNCT
ejpam-5562	3	20	ddes	ddes	PROPN
ejpam-5562	3	21	)	)	PUNCT
ejpam-5562	3	22	utilizing	utilize	VERB
ejpam-5562	3	23	the	the	DET
ejpam-5562	3	24	laplace	laplace	NOUN
ejpam-5562	3	25	transform	transform	NOUN
ejpam-5562	3	26	method	method	NOUN
ejpam-5562	3	27	.	.	PUNCT
ejpam-5562	4	1	delay	delay	NOUN
ejpam-5562	4	2	differential	differential	ADJ
ejpam-5562	4	3	equations	equation	NOUN
ejpam-5562	4	4	are	be	AUX
ejpam-5562	4	5	often	often	ADV
ejpam-5562	4	6	encountered	encounter	VERB
ejpam-5562	4	7	in	in	ADP
ejpam-5562	4	8	a	a	DET
ejpam-5562	4	9	wide	wide	ADJ
ejpam-5562	4	10	range	range	NOUN
ejpam-5562	4	11	of	of	ADP
ejpam-5562	4	12	scientific	scientific	ADJ
ejpam-5562	4	13	and	and	CCONJ
ejpam-5562	4	14	engineering	engineering	NOUN
ejpam-5562	4	15	applications	application	NOUN
ejpam-5562	4	16	,	,	PUNCT
ejpam-5562	4	17	such	such	ADJ
ejpam-5562	4	18	as	as	ADP
ejpam-5562	4	19	signal	signal	ADJ
ejpam-5562	4	20	processing	processing	NOUN
ejpam-5562	4	21	,	,	PUNCT
ejpam-5562	4	22	control	control	NOUN
ejpam-5562	4	23	systems	system	NOUN
ejpam-5562	4	24	,	,	PUNCT
ejpam-5562	4	25	and	and	CCONJ
ejpam-5562	4	26	population	population	NOUN
ejpam-5562	4	27	dynamics	dynamic	NOUN
ejpam-5562	4	28	.	.	PUNCT
ejpam-5562	5	1	these	these	DET
ejpam-5562	5	2	equations	equation	NOUN
ejpam-5562	5	3	are	be	AUX
ejpam-5562	5	4	formulated	formulate	VERB
ejpam-5562	5	5	using	use	VERB
ejpam-5562	5	6	delayed	delay	VERB
ejpam-5562	5	7	arguments	argument	NOUN
ejpam-5562	5	8	.	.	PUNCT
ejpam-5562	6	1	the	the	DET
ejpam-5562	6	2	analysis	analysis	NOUN
ejpam-5562	6	3	and	and	CCONJ
ejpam-5562	6	4	solution	solution	NOUN
ejpam-5562	6	5	of	of	ADP
ejpam-5562	6	6	these	these	DET
ejpam-5562	6	7	equations	equation	NOUN
ejpam-5562	6	8	are	be	AUX
ejpam-5562	6	9	frequently	frequently	ADV
ejpam-5562	6	10	made	make	VERB
ejpam-5562	6	11	more	more	ADV
ejpam-5562	6	12	difficult	difficult	ADJ
ejpam-5562	6	13	by	by	ADP
ejpam-5562	6	14	the	the	DET
ejpam-5562	6	15	existence	existence	NOUN
ejpam-5562	6	16	of	of	ADP
ejpam-5562	6	17	delays	delay	NOUN
ejpam-5562	6	18	.	.	PUNCT
ejpam-5562	7	1	here	here	ADV
ejpam-5562	7	2	,	,	PUNCT
ejpam-5562	7	3	we	we	PRON
ejpam-5562	7	4	simplify	simplify	VERB
ejpam-5562	7	5	the	the	DET
ejpam-5562	7	6	process	process	NOUN
ejpam-5562	7	7	of	of	ADP
ejpam-5562	7	8	locating	locate	VERB
ejpam-5562	7	9	explicit	explicit	ADJ
ejpam-5562	7	10	solutions	solution	NOUN
ejpam-5562	7	11	by	by	ADP
ejpam-5562	7	12	converting	convert	VERB
ejpam-5562	7	13	the	the	DET
ejpam-5562	7	14	ddes	dde	NOUN
ejpam-5562	7	15	into	into	ADP
ejpam-5562	7	16	algebraic	algebraic	ADJ
ejpam-5562	7	17	equations	equation	NOUN
ejpam-5562	7	18	using	use	VERB
ejpam-5562	7	19	the	the	DET
ejpam-5562	7	20	laplace	laplace	NOUN
ejpam-5562	7	21	transform	transform	NOUN
ejpam-5562	7	22	technique	technique	NOUN
ejpam-5562	7	23	.	.	PUNCT
ejpam-5562	8	1	the	the	DET
ejpam-5562	8	2	stability	stability	NOUN
ejpam-5562	8	3	characteristics	characteristic	NOUN
ejpam-5562	8	4	of	of	ADP
ejpam-5562	8	5	the	the	DET
ejpam-5562	8	6	solutions	solution	NOUN
ejpam-5562	8	7	to	to	ADP
ejpam-5562	8	8	the	the	DET
ejpam-5562	8	9	dde	dde	PROPN
ejpam-5562	8	10	are	be	AUX
ejpam-5562	8	11	crucial	crucial	ADJ
ejpam-5562	8	12	for	for	ADP
ejpam-5562	8	13	understanding	understand	VERB
ejpam-5562	8	14	the	the	DET
ejpam-5562	8	15	progression	progression	NOUN
ejpam-5562	8	16	of	of	ADP
ejpam-5562	8	17	parkinson	parkinson	NOUN
ejpam-5562	8	18	’s	’s	PART
ejpam-5562	8	19	disease	disease	NOUN
ejpam-5562	8	20	and	and	CCONJ
ejpam-5562	8	21	the	the	DET
ejpam-5562	8	22	effectiveness	effectiveness	NOUN
ejpam-5562	8	23	of	of	ADP
ejpam-5562	8	24	treatment	treatment	NOUN
ejpam-5562	8	25	strategies	strategy	NOUN
ejpam-5562	8	26	.	.	PUNCT
ejpam-5562	9	1	stable	stable	ADJ
ejpam-5562	9	2	and	and	CCONJ
ejpam-5562	9	3	asymptotically	asymptotically	ADV
ejpam-5562	9	4	stable	stable	ADJ
ejpam-5562	9	5	solutions	solution	NOUN
ejpam-5562	9	6	are	be	AUX
ejpam-5562	9	7	associated	associate	VERB
ejpam-5562	9	8	with	with	ADP
ejpam-5562	9	9	better	well	ADJ
ejpam-5562	9	10	control	control	NOUN
ejpam-5562	9	11	and	and	CCONJ
ejpam-5562	9	12	management	management	NOUN
ejpam-5562	9	13	of	of	ADP
ejpam-5562	9	14	the	the	DET
ejpam-5562	9	15	disease	disease	NOUN
ejpam-5562	9	16	,	,	PUNCT
ejpam-5562	9	17	while	while	SCONJ
ejpam-5562	9	18	instability	instability	NOUN
ejpam-5562	9	19	suggests	suggest	VERB
ejpam-5562	9	20	a	a	DET
ejpam-5562	9	21	potential	potential	NOUN
ejpam-5562	9	22	for	for	ADP
ejpam-5562	9	23	rapid	rapid	ADJ
ejpam-5562	9	24	deterioration	deterioration	NOUN
ejpam-5562	9	25	,	,	PUNCT
ejpam-5562	9	26	requiring	require	VERB
ejpam-5562	9	27	more	more	ADV
ejpam-5562	9	28	intensive	intensive	ADJ
ejpam-5562	9	29	intervention	intervention	NOUN
ejpam-5562	9	30	.	.	PUNCT
ejpam-5562	10	1	understanding	understand	VERB
ejpam-5562	10	2	the	the	DET
ejpam-5562	10	3	impact	impact	NOUN
ejpam-5562	10	4	of	of	ADP
ejpam-5562	10	5	different	different	ADJ
ejpam-5562	10	6	delays	delay	NOUN
ejpam-5562	10	7	τ1	τ1	NOUN
ejpam-5562	10	8	and	and	CCONJ
ejpam-5562	10	9	τ2	τ2	NOUN
ejpam-5562	10	10	and	and	CCONJ
ejpam-5562	10	11	coefficients	coefficient	NOUN
ejpam-5562	10	12	on	on	ADP
ejpam-5562	10	13	the	the	DET
ejpam-5562	10	14	stability	stability	NOUN
ejpam-5562	10	15	can	can	AUX
ejpam-5562	10	16	help	help	VERB
ejpam-5562	10	17	in	in	ADP
ejpam-5562	10	18	designing	design	VERB
ejpam-5562	10	19	better	well	ADJ
ejpam-5562	10	20	therapeutic	therapeutic	ADJ
ejpam-5562	10	21	protocols	protocol	NOUN
ejpam-5562	10	22	,	,	PUNCT
ejpam-5562	10	23	and	and	CCONJ
ejpam-5562	10	24	potentially	potentially	ADV
ejpam-5562	10	25	developing	develop	VERB
ejpam-5562	10	26	new	new	ADJ
ejpam-5562	10	27	treatments	treatment	NOUN
ejpam-5562	10	28	that	that	PRON
ejpam-5562	10	29	target	target	VERB
ejpam-5562	10	30	the	the	DET
ejpam-5562	10	31	specific	specific	ADJ
ejpam-5562	10	32	dynamics	dynamic	NOUN
ejpam-5562	10	33	of	of	ADP
ejpam-5562	10	34	the	the	DET
ejpam-5562	10	35	disease	disease	NOUN
ejpam-5562	10	36	as	as	SCONJ
ejpam-5562	10	37	modeled	model	VERB
ejpam-5562	10	38	by	by	ADP
ejpam-5562	10	39	the	the	DET
ejpam-5562	10	40	dde	dde	PROPN
ejpam-5562	10	41	.	.	PUNCT
ejpam-5562	11	1	according	accord	VERB
ejpam-5562	11	2	to	to	ADP
ejpam-5562	11	3	our	our	PRON
ejpam-5562	11	4	findings	finding	NOUN
ejpam-5562	11	5	,	,	PUNCT
ejpam-5562	11	6	the	the	DET
ejpam-5562	11	7	laplace	laplace	NOUN
ejpam-5562	11	8	transform	transform	NOUN
ejpam-5562	11	9	method	method	NOUN
ejpam-5562	11	10	offers	offer	VERB
ejpam-5562	11	11	a	a	DET
ejpam-5562	11	12	methodical	methodical	ADJ
ejpam-5562	11	13	and	and	CCONJ
ejpam-5562	11	14	effective	effective	ADJ
ejpam-5562	11	15	way	way	NOUN
ejpam-5562	11	16	to	to	PART
ejpam-5562	11	17	solve	solve	VERB
ejpam-5562	11	18	complicated	complicated	ADJ
ejpam-5562	11	19	delay	delay	NOUN
ejpam-5562	11	20	differential	differential	ADJ
ejpam-5562	11	21	equations	equation	NOUN
ejpam-5562	11	22	,	,	PUNCT
ejpam-5562	11	23	revealing	reveal	VERB
ejpam-5562	11	24	important	important	ADJ
ejpam-5562	11	25	information	information	NOUN
ejpam-5562	11	26	and	and	CCONJ
ejpam-5562	11	27	having	have	VERB
ejpam-5562	11	28	potential	potential	ADJ
ejpam-5562	11	29	uses	use	NOUN
ejpam-5562	11	30	in	in	ADP
ejpam-5562	11	31	both	both	CCONJ
ejpam-5562	11	32	theoretical	theoretical	ADJ
ejpam-5562	11	33	and	and	CCONJ
ejpam-5562	11	34	practical	practical	ADJ
ejpam-5562	11	35	fields	field	NOUN
ejpam-5562	11	36	.	.	PUNCT
ejpam-5562	12	1	additionally	additionally	ADV
ejpam-5562	12	2	,	,	PUNCT
ejpam-5562	12	3	a	a	DET
ejpam-5562	12	4	spatiotemporal	spatiotemporal	ADJ
ejpam-5562	12	5	model	model	NOUN
ejpam-5562	12	6	of	of	ADP
ejpam-5562	12	7	dopamine	dopamine	NOUN
ejpam-5562	12	8	concentration	concentration	NOUN
ejpam-5562	12	9	in	in	ADP
ejpam-5562	12	10	parkinson	parkinson	NOUN
ejpam-5562	12	11	’s	’s	PART
ejpam-5562	12	12	disease	disease	NOUN
ejpam-5562	12	13	is	be	AUX
ejpam-5562	12	14	developed	develop	VERB
ejpam-5562	12	15	using	use	VERB
ejpam-5562	12	16	the	the	DET
ejpam-5562	12	17	laplace	laplace	NOUN
ejpam-5562	12	18	transform	transform	NOUN
ejpam-5562	12	19	method	method	NOUN
ejpam-5562	12	20	,	,	PUNCT
ejpam-5562	12	21	demonstrating	demonstrate	VERB
ejpam-5562	12	22	its	its	PRON
ejpam-5562	12	23	potential	potential	NOUN
ejpam-5562	12	24	to	to	PART
ejpam-5562	12	25	predict	predict	VERB
ejpam-5562	12	26	symptom	symptom	NOUN
ejpam-5562	12	27	fluctuations	fluctuation	NOUN
ejpam-5562	12	28	,	,	PUNCT
ejpam-5562	12	29	treatment	treatment	NOUN
ejpam-5562	12	30	strategies	strategy	NOUN
ejpam-5562	12	31	,	,	PUNCT
ejpam-5562	12	32	and	and	CCONJ
ejpam-5562	12	33	improve	improve	VERB
ejpam-5562	12	34	disease	disease	NOUN
ejpam-5562	12	35	understanding	understanding	NOUN
ejpam-5562	12	36	,	,	PUNCT
ejpam-5562	12	37	ultimately	ultimately	ADV
ejpam-5562	12	38	enhancing	enhance	VERB
ejpam-5562	12	39	patient	patient	ADJ
ejpam-5562	12	40	management	management	NOUN
ejpam-5562	12	41	and	and	CCONJ
ejpam-5562	12	42	quality	quality	NOUN
ejpam-5562	12	43	of	of	ADP
ejpam-5562	12	44	life	life	NOUN
ejpam-5562	12	45	.	.	PUNCT
ejpam-5562	13	1	2020	2020	NUM
ejpam-5562	13	2	mathematics	mathematic	NOUN
ejpam-5562	13	3	subject	subject	NOUN
ejpam-5562	13	4	classifications	classification	NOUN
ejpam-5562	13	5	:	:	PUNCT
ejpam-5562	13	6	34k20	34k20	NUM
ejpam-5562	13	7	,	,	PUNCT
ejpam-5562	13	8	44a10	44a10	NUM
ejpam-5562	13	9	key	key	ADJ
ejpam-5562	13	10	words	word	NOUN
ejpam-5562	13	11	and	and	CCONJ
ejpam-5562	13	12	phrases	phrase	NOUN
ejpam-5562	13	13	:	:	PUNCT
ejpam-5562	13	14	delay	delay	VERB
ejpam-5562	13	15	differential	differential	ADJ
ejpam-5562	13	16	equation	equation	NOUN
ejpam-5562	13	17	(	(	PUNCT
ejpam-5562	13	18	dde	dde	PROPN
ejpam-5562	13	19	)	)	PUNCT
ejpam-5562	13	20	,	,	PUNCT
ejpam-5562	13	21	parkinson	parkinson	NOUN
ejpam-5562	13	22	’s	’s	PART
ejpam-5562	13	23	disease	disease	NOUN
ejpam-5562	13	24	model	model	NOUN
ejpam-5562	13	25	,	,	PUNCT
ejpam-5562	13	26	laplace	laplace	NOUN
ejpam-5562	13	27	transform	transform	NOUN
ejpam-5562	13	28	method	method	NOUN
ejpam-5562	13	29	,	,	PUNCT
ejpam-5562	13	30	stability	stability	NOUN
ejpam-5562	13	31	∗corresponding	∗corresponde	VERB
ejpam-5562	13	32	author	author	NOUN
ejpam-5562	13	33	.	.	PUNCT
ejpam-5562	14	1	doi	doi	NOUN
ejpam-5562	14	2	:	:	PUNCT
ejpam-5562	14	3	https://doi.org/10.29020/nybg.ejpam.v18i2.5562	https://doi.org/10.29020/nybg.ejpam.v18i2.5562	ADJ
ejpam-5562	14	4	email	email	NOUN
ejpam-5562	14	5	addresses	address	NOUN
ejpam-5562	14	6	:	:	PUNCT
ejpam-5562	15	1	gvmathveera@gmail.com	gvmathveera@gmail.com	X
ejpam-5562	15	2	(	(	PUNCT
ejpam-5562	15	3	g.	g.	NOUN
ejpam-5562	15	4	veerabathiran	veerabathiran	ADJ
ejpam-5562	15	5	)	)	PUNCT
ejpam-5562	15	6	,	,	PUNCT
ejpam-5562	15	7	ultimateg1990@gmail.com	ultimateg1990@gmail.com	X
ejpam-5562	15	8	(	(	PUNCT
ejpam-5562	15	9	g.	g.	PROPN
ejpam-5562	15	10	jagan	jagan	PROPN
ejpam-5562	15	11	kumar	kumar	PROPN
ejpam-5562	15	12	)	)	PUNCT
ejpam-5562	15	13	,	,	PUNCT
ejpam-5562	15	14	siriluk.pa@up.ac.th	siriluk.pa@up.ac.th	PROPN
ejpam-5562	15	15	(	(	PUNCT
ejpam-5562	15	16	siriluk	siriluk	PROPN
ejpam-5562	15	17	donganont	donganont	PROPN
ejpam-5562	15	18	)	)	PUNCT
ejpam-5562	15	19	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5562	16	1	1	1	NUM
ejpam-5562	16	2	copyright	copyright	NOUN
ejpam-5562	16	3	:	:	PUNCT
ejpam-5562	16	4	©	©	PROPN
ejpam-5562	16	5	2025	2025	NUM
ejpam-5562	16	6	the	the	DET
ejpam-5562	16	7	author(s	author(s	NOUN
ejpam-5562	16	8	)	)	PUNCT
ejpam-5562	16	9	.	.	PUNCT
ejpam-5562	17	1	(	(	PUNCT
ejpam-5562	17	2	cc	cc	NOUN
ejpam-5562	17	3	by	by	ADP
ejpam-5562	17	4	-	-	PUNCT
ejpam-5562	17	5	nc	nc	PROPN
ejpam-5562	17	6	4.0	4.0	NUM
ejpam-5562	17	7	)	)	PUNCT
ejpam-5562	17	8	g.	g.	NOUN
ejpam-5562	17	9	veerabathiran	veerabathiran	ADJ
ejpam-5562	17	10	,	,	PUNCT
ejpam-5562	17	11	g.	g.	PROPN
ejpam-5562	17	12	j.	j.	PROPN
ejpam-5562	17	13	kumar	kumar	PROPN
ejpam-5562	17	14	,	,	PUNCT
ejpam-5562	17	15	s.	s.	PROPN
ejpam-5562	17	16	donganont	donganont	PROPN
ejpam-5562	17	17	/	/	SYM
ejpam-5562	17	18	eur	eur	PROPN
ejpam-5562	17	19	.	.	PUNCT
ejpam-5562	18	1	j.	j.	PROPN
ejpam-5562	18	2	pure	pure	PROPN
ejpam-5562	18	3	appl	appl	PROPN
ejpam-5562	18	4	.	.	PROPN
ejpam-5562	18	5	math	math	PROPN
ejpam-5562	18	6	,	,	PUNCT
ejpam-5562	18	7	18	18	NUM
ejpam-5562	18	8	(	(	PUNCT
ejpam-5562	18	9	2	2	NUM
ejpam-5562	18	10	)	)	PUNCT
ejpam-5562	18	11	(	(	PUNCT
ejpam-5562	18	12	2025	2025	NUM
ejpam-5562	18	13	)	)	PUNCT
ejpam-5562	18	14	,	,	PUNCT
ejpam-5562	18	15	5562	5562	NUM
ejpam-5562	18	16	2	2	NUM
ejpam-5562	18	17	of	of	ADP
ejpam-5562	18	18	20	20	NUM
ejpam-5562	18	19	1	1	NUM
ejpam-5562	18	20	.	.	PUNCT
ejpam-5562	19	1	introduction	introduction	NOUN
ejpam-5562	19	2	delay	delay	NOUN
ejpam-5562	19	3	differential	differential	ADJ
ejpam-5562	19	4	equations	equation	NOUN
ejpam-5562	19	5	(	(	PUNCT
ejpam-5562	19	6	ddes	ddes	PROPN
ejpam-5562	19	7	)	)	PUNCT
ejpam-5562	19	8	are	be	AUX
ejpam-5562	19	9	integral	integral	ADJ
ejpam-5562	19	10	in	in	ADP
ejpam-5562	19	11	modeling	model	VERB
ejpam-5562	19	12	various	various	ADJ
ejpam-5562	19	13	dynamic	dynamic	ADJ
ejpam-5562	19	14	systems	system	NOUN
ejpam-5562	19	15	across	across	ADP
ejpam-5562	19	16	disciplines	discipline	NOUN
ejpam-5562	19	17	such	such	ADJ
ejpam-5562	19	18	as	as	ADP
ejpam-5562	19	19	physics	physics	NOUN
ejpam-5562	19	20	,	,	PUNCT
ejpam-5562	19	21	engineering	engineering	NOUN
ejpam-5562	19	22	,	,	PUNCT
ejpam-5562	19	23	biology	biology	NOUN
ejpam-5562	19	24	,	,	PUNCT
ejpam-5562	19	25	and	and	CCONJ
ejpam-5562	19	26	economics	economic	NOUN
ejpam-5562	19	27	.	.	PUNCT
ejpam-5562	20	1	for	for	ADP
ejpam-5562	20	2	solving	solve	VERB
ejpam-5562	20	3	ddes	dde	NOUN
ejpam-5562	20	4	,	,	PUNCT
ejpam-5562	20	5	the	the	DET
ejpam-5562	20	6	laplace	laplace	NOUN
ejpam-5562	20	7	transform	transform	NOUN
ejpam-5562	20	8	method	method	NOUN
ejpam-5562	20	9	is	be	AUX
ejpam-5562	20	10	an	an	DET
ejpam-5562	20	11	effective	effective	ADJ
ejpam-5562	20	12	tool	tool	NOUN
ejpam-5562	20	13	due	due	ADP
ejpam-5562	20	14	to	to	ADP
ejpam-5562	20	15	its	its	PRON
ejpam-5562	20	16	ability	ability	NOUN
ejpam-5562	20	17	to	to	PART
ejpam-5562	20	18	handle	handle	VERB
ejpam-5562	20	19	initial	initial	ADJ
ejpam-5562	20	20	value	value	NOUN
ejpam-5562	20	21	problems	problem	NOUN
ejpam-5562	20	22	and	and	CCONJ
ejpam-5562	20	23	incorporate	incorporate	VERB
ejpam-5562	20	24	delay	delay	NOUN
ejpam-5562	20	25	terms	term	NOUN
ejpam-5562	20	26	effectively	effectively	ADV
ejpam-5562	20	27	.	.	PUNCT
ejpam-5562	21	1	erkan	erkan	PROPN
ejpam-5562	21	2	cimen	cimen	PROPN
ejpam-5562	22	1	[	[	X
ejpam-5562	22	2	1	1	X
ejpam-5562	22	3	]	]	PUNCT
ejpam-5562	22	4	discussed	discuss	VERB
ejpam-5562	22	5	the	the	DET
ejpam-5562	22	6	solution	solution	NOUN
ejpam-5562	22	7	of	of	ADP
ejpam-5562	22	8	second	second	ADJ
ejpam-5562	22	9	order	order	NOUN
ejpam-5562	22	10	dde	dde	NOUN
ejpam-5562	22	11	using	use	VERB
ejpam-5562	22	12	the	the	DET
ejpam-5562	22	13	laplace	laplace	NOUN
ejpam-5562	22	14	transform	transform	NOUN
ejpam-5562	22	15	method	method	NOUN
ejpam-5562	22	16	.	.	PUNCT
ejpam-5562	23	1	their	their	PRON
ejpam-5562	23	2	work	work	NOUN
ejpam-5562	23	3	emphasizes	emphasize	VERB
ejpam-5562	23	4	the	the	DET
ejpam-5562	23	5	application	application	NOUN
ejpam-5562	23	6	of	of	ADP
ejpam-5562	23	7	this	this	DET
ejpam-5562	23	8	method	method	NOUN
ejpam-5562	23	9	to	to	PART
ejpam-5562	23	10	derive	derive	VERB
ejpam-5562	23	11	solutions	solution	NOUN
ejpam-5562	23	12	and	and	CCONJ
ejpam-5562	23	13	validate	validate	VERB
ejpam-5562	23	14	them	they	PRON
ejpam-5562	23	15	with	with	ADP
ejpam-5562	23	16	examples	example	NOUN
ejpam-5562	23	17	,	,	PUNCT
ejpam-5562	23	18	demonstrating	demonstrate	VERB
ejpam-5562	23	19	the	the	DET
ejpam-5562	23	20	theoretical	theoretical	ADJ
ejpam-5562	23	21	robustness	robustness	NOUN
ejpam-5562	23	22	of	of	ADP
ejpam-5562	23	23	their	their	PRON
ejpam-5562	23	24	approach	approach	NOUN
ejpam-5562	23	25	.	.	PUNCT
ejpam-5562	24	1	michal	michal	PROPN
ejpam-5562	24	2	pospisil	pospisil	PROPN
ejpam-5562	24	3	[	[	X
ejpam-5562	24	4	2	2	NUM
ejpam-5562	24	5	]	]	PUNCT
ejpam-5562	24	6	expand	expand	VERB
ejpam-5562	24	7	on	on	ADP
ejpam-5562	24	8	the	the	DET
ejpam-5562	24	9	laplace	laplace	NOUN
ejpam-5562	24	10	transform	transform	NOUN
ejpam-5562	24	11	by	by	ADP
ejpam-5562	24	12	deriving	derive	VERB
ejpam-5562	24	13	closed	closed	ADJ
ejpam-5562	24	14	form	form	NOUN
ejpam-5562	24	15	solutions	solution	NOUN
ejpam-5562	24	16	for	for	ADP
ejpam-5562	24	17	systems	system	NOUN
ejpam-5562	24	18	of	of	ADP
ejpam-5562	24	19	non	non	ADJ
ejpam-5562	24	20	homogeneous	homogeneous	ADJ
ejpam-5562	24	21	linear	linear	PROPN
ejpam-5562	24	22	differential	differential	ADJ
ejpam-5562	24	23	equations	equation	NOUN
ejpam-5562	24	24	with	with	ADP
ejpam-5562	24	25	multiple	multiple	ADJ
ejpam-5562	24	26	constant	constant	ADJ
ejpam-5562	24	27	delays	delay	NOUN
ejpam-5562	24	28	.	.	PUNCT
ejpam-5562	25	1	they	they	PRON
ejpam-5562	25	2	use	use	VERB
ejpam-5562	25	3	unilateral	unilateral	ADJ
ejpam-5562	25	4	laplace	laplace	NOUN
ejpam-5562	25	5	transforms	transform	VERB
ejpam-5562	25	6	to	to	ADP
ejpam-5562	25	7	unity	unity	NOUN
ejpam-5562	25	8	recent	recent	ADJ
ejpam-5562	25	9	findings	finding	NOUN
ejpam-5562	25	10	,	,	PUNCT
ejpam-5562	25	11	providing	provide	VERB
ejpam-5562	25	12	a	a	DET
ejpam-5562	25	13	comprehensive	comprehensive	ADJ
ejpam-5562	25	14	approach	approach	NOUN
ejpam-5562	25	15	to	to	ADP
ejpam-5562	25	16	solving	solve	VERB
ejpam-5562	25	17	these	these	DET
ejpam-5562	25	18	complex	complex	ADJ
ejpam-5562	25	19	systems	system	NOUN
ejpam-5562	25	20	.	.	PUNCT
ejpam-5562	26	1	reem	reem	PROPN
ejpam-5562	26	2	alrebdi	alrebdi	PROPN
ejpam-5562	27	1	[	[	X
ejpam-5562	27	2	3	3	NUM
ejpam-5562	27	3	]	]	PUNCT
ejpam-5562	27	4	focus	focus	NOUN
ejpam-5562	27	5	on	on	ADP
ejpam-5562	27	6	the	the	DET
ejpam-5562	27	7	pantograph	pantograph	NOUN
ejpam-5562	27	8	dde	dde	PROPN
ejpam-5562	27	9	,	,	PUNCT
ejpam-5562	27	10	a	a	DET
ejpam-5562	27	11	fundamental	fundamental	ADJ
ejpam-5562	27	12	model	model	NOUN
ejpam-5562	27	13	in	in	ADP
ejpam-5562	27	14	delay	delay	NOUN
ejpam-5562	27	15	differential	differential	PROPN
ejpam-5562	27	16	equations	equation	NOUN
ejpam-5562	27	17	.	.	PUNCT
ejpam-5562	28	1	daniela	daniela	PROPN
ejpam-5562	28	2	marian	marian	PROPN
ejpam-5562	29	1	[	[	X
ejpam-5562	29	2	4	4	NUM
ejpam-5562	29	3	]	]	PUNCT
ejpam-5562	29	4	studies	study	NOUN
ejpam-5562	29	5	the	the	DET
ejpam-5562	29	6	hyers	hyer	NOUN
ejpam-5562	29	7	ulam	ulam	PROPN
ejpam-5562	29	8	stability	stability	NOUN
ejpam-5562	29	9	of	of	ADP
ejpam-5562	29	10	ddes	dde	NOUN
ejpam-5562	29	11	using	use	VERB
ejpam-5562	29	12	the	the	DET
ejpam-5562	29	13	laplace	laplace	NOUN
ejpam-5562	29	14	transform	transform	NOUN
ejpam-5562	29	15	.	.	PUNCT
ejpam-5562	30	1	alfred	alfred	PROPN
ejpam-5562	30	2	daci	daci	PROPN
ejpam-5562	31	1	[	[	X
ejpam-5562	31	2	5	5	NUM
ejpam-5562	31	3	]	]	PUNCT
ejpam-5562	31	4	and	and	CCONJ
ejpam-5562	31	5	gilbert	gilbert	PROPN
ejpam-5562	31	6	kerr	kerr	PROPN
ejpam-5562	32	1	[	[	X
ejpam-5562	32	2	6	6	NUM
ejpam-5562	32	3	]	]	PUNCT
ejpam-5562	32	4	introduce	introduce	VERB
ejpam-5562	32	5	the	the	DET
ejpam-5562	32	6	laplace	laplace	NOUN
ejpam-5562	32	7	transform	transform	NOUN
ejpam-5562	32	8	in	in	ADP
ejpam-5562	32	9	solving	solve	VERB
ejpam-5562	32	10	difference	difference	NOUN
ejpam-5562	32	11	and	and	CCONJ
ejpam-5562	32	12	differential	differential	ADJ
ejpam-5562	32	13	difference	difference	NOUN
ejpam-5562	32	14	equations	equation	NOUN
ejpam-5562	32	15	,	,	PUNCT
ejpam-5562	32	16	demonstrating	demonstrate	VERB
ejpam-5562	32	17	its	its	PRON
ejpam-5562	32	18	efficiency	efficiency	NOUN
ejpam-5562	32	19	and	and	CCONJ
ejpam-5562	32	20	speed	speed	NOUN
ejpam-5562	32	21	.	.	PUNCT
ejpam-5562	33	1	the	the	DET
ejpam-5562	33	2	fundamental	fundamental	ADJ
ejpam-5562	33	3	concepts	concept	NOUN
ejpam-5562	33	4	and	and	CCONJ
ejpam-5562	33	5	properties	property	NOUN
ejpam-5562	33	6	of	of	ADP
ejpam-5562	33	7	the	the	DET
ejpam-5562	33	8	laplace	laplace	NOUN
ejpam-5562	33	9	transform	transform	NOUN
ejpam-5562	33	10	,	,	PUNCT
ejpam-5562	33	11	show	show	VERB
ejpam-5562	33	12	casing	case	VERB
ejpam-5562	33	13	its	its	PRON
ejpam-5562	33	14	practical	practical	ADJ
ejpam-5562	33	15	applications	application	NOUN
ejpam-5562	33	16	in	in	ADP
ejpam-5562	33	17	solving	solve	VERB
ejpam-5562	33	18	complex	complex	ADJ
ejpam-5562	33	19	equations	equation	NOUN
ejpam-5562	33	20	.	.	PUNCT
ejpam-5562	34	1	michelle	michelle	PROPN
ejpam-5562	34	2	sherman	sherman	PROPN
ejpam-5562	35	1	[	[	X
ejpam-5562	35	2	7	7	X
ejpam-5562	35	3	]	]	X
ejpam-5562	35	4	propose	propose	VERB
ejpam-5562	35	5	a	a	DET
ejpam-5562	35	6	methodology	methodology	NOUN
ejpam-5562	35	7	for	for	ADP
ejpam-5562	35	8	solving	solve	VERB
ejpam-5562	35	9	ddes	dde	NOUN
ejpam-5562	35	10	with	with	ADP
ejpam-5562	35	11	dirac	dirac	NOUN
ejpam-5562	35	12	delta	delta	NOUN
ejpam-5562	35	13	function	function	NOUN
ejpam-5562	35	14	using	use	VERB
ejpam-5562	35	15	the	the	DET
ejpam-5562	35	16	laplace	laplace	NOUN
ejpam-5562	35	17	transform	transform	NOUN
ejpam-5562	35	18	.	.	PUNCT
ejpam-5562	36	1	tamas	tamas	PROPN
ejpam-5562	36	2	kalmar	kalmar	PROPN
ejpam-5562	36	3	nagy	nagy	PROPN
ejpam-5562	36	4	[	[	X
ejpam-5562	36	5	8	8	NUM
ejpam-5562	36	6	]	]	PUNCT
ejpam-5562	36	7	demonstrates	demonstrate	VERB
ejpam-5562	36	8	the	the	DET
ejpam-5562	36	9	use	use	NOUN
ejpam-5562	36	10	of	of	ADP
ejpam-5562	36	11	the	the	DET
ejpam-5562	36	12	method	method	NOUN
ejpam-5562	36	13	of	of	ADP
ejpam-5562	36	14	steps	step	NOUN
ejpam-5562	36	15	combined	combine	VERB
ejpam-5562	36	16	with	with	ADP
ejpam-5562	36	17	the	the	DET
ejpam-5562	36	18	inverse	inverse	NOUN
ejpam-5562	36	19	laplace	laplace	NOUN
ejpam-5562	36	20	transform	transform	NOUN
ejpam-5562	36	21	for	for	ADP
ejpam-5562	36	22	stability	stability	NOUN
ejpam-5562	36	23	analysis	analysis	NOUN
ejpam-5562	36	24	of	of	ADP
ejpam-5562	36	25	dde	dde	PROPN
ejpam-5562	36	26	.	.	PUNCT
ejpam-5562	37	1	h.n	h.n	PROPN
ejpam-5562	37	2	.	.	PROPN
ejpam-5562	37	3	agiza	agiza	PROPN
ejpam-5562	38	1	[	[	X
ejpam-5562	38	2	9	9	NUM
ejpam-5562	38	3	]	]	PUNCT
ejpam-5562	38	4	apply	apply	VERB
ejpam-5562	38	5	ddes	dde	NOUN
ejpam-5562	38	6	to	to	PART
ejpam-5562	38	7	model	model	NOUN
ejpam-5562	38	8	parkinson	parkinson	NOUN
ejpam-5562	38	9	’s	’s	PART
ejpam-5562	38	10	disease	disease	NOUN
ejpam-5562	38	11	.	.	PUNCT
ejpam-5562	39	1	they	they	PRON
ejpam-5562	39	2	transform	transform	VERB
ejpam-5562	39	3	these	these	DET
ejpam-5562	39	4	models	model	NOUN
ejpam-5562	39	5	using	use	VERB
ejpam-5562	39	6	the	the	DET
ejpam-5562	39	7	taylor	taylor	PROPN
ejpam-5562	39	8	series	series	NOUN
ejpam-5562	39	9	and	and	CCONJ
ejpam-5562	39	10	validate	validate	VERB
ejpam-5562	39	11	stability	stability	NOUN
ejpam-5562	39	12	conditions	condition	NOUN
ejpam-5562	39	13	using	use	VERB
ejpam-5562	39	14	matlab	matlab	PROPN
ejpam-5562	39	15	,	,	PUNCT
ejpam-5562	39	16	highlighting	highlight	VERB
ejpam-5562	39	17	the	the	DET
ejpam-5562	39	18	biological	biological	ADJ
ejpam-5562	39	19	relevance	relevance	NOUN
ejpam-5562	39	20	and	and	CCONJ
ejpam-5562	39	21	practical	practical	ADJ
ejpam-5562	39	22	applications	application	NOUN
ejpam-5562	39	23	of	of	ADP
ejpam-5562	39	24	ddes	dde	NOUN
ejpam-5562	39	25	in	in	ADP
ejpam-5562	39	26	medical	medical	ADJ
ejpam-5562	39	27	research	research	NOUN
ejpam-5562	39	28	.	.	PUNCT
ejpam-5562	40	1	michelle	michelle	PROPN
ejpam-5562	40	2	sherman	sherman	PROPN
ejpam-5562	41	1	[	[	X
ejpam-5562	41	2	10	10	NUM
ejpam-5562	41	3	]	]	PUNCT
ejpam-5562	41	4	compare	compare	VERB
ejpam-5562	41	5	the	the	DET
ejpam-5562	41	6	performance	performance	NOUN
ejpam-5562	41	7	of	of	ADP
ejpam-5562	41	8	maple	maple	NOUN
ejpam-5562	41	9	and	and	CCONJ
ejpam-5562	41	10	matlab	matlab	PROPN
ejpam-5562	41	11	in	in	ADP
ejpam-5562	41	12	solving	solve	VERB
ejpam-5562	41	13	linear	linear	PROPN
ejpam-5562	41	14	ddes	dde	NOUN
ejpam-5562	41	15	using	use	VERB
ejpam-5562	41	16	the	the	DET
ejpam-5562	41	17	laplace	laplace	NOUN
ejpam-5562	41	18	transform	transform	NOUN
ejpam-5562	41	19	method	method	NOUN
ejpam-5562	41	20	.	.	PUNCT
ejpam-5562	42	1	they	they	PRON
ejpam-5562	42	2	analyze	analyze	VERB
ejpam-5562	42	3	computational	computational	ADJ
ejpam-5562	42	4	time	time	NOUN
ejpam-5562	42	5	and	and	CCONJ
ejpam-5562	42	6	accuracy	accuracy	NOUN
ejpam-5562	42	7	,	,	PUNCT
ejpam-5562	42	8	finding	find	VERB
ejpam-5562	42	9	that	that	SCONJ
ejpam-5562	42	10	matlab	matlab	PROPN
ejpam-5562	42	11	is	be	AUX
ejpam-5562	42	12	generally	generally	ADV
ejpam-5562	42	13	faster	fast	ADJ
ejpam-5562	42	14	for	for	SCONJ
ejpam-5562	42	15	linear	linear	PROPN
ejpam-5562	42	16	non	non	ADJ
ejpam-5562	42	17	neutral	neutral	ADJ
ejpam-5562	42	18	ddes	dde	NOUN
ejpam-5562	42	19	,	,	PUNCT
ejpam-5562	42	20	while	while	SCONJ
ejpam-5562	42	21	maple	maple	NOUN
ejpam-5562	42	22	performs	perform	VERB
ejpam-5562	42	23	better	well	ADV
ejpam-5562	42	24	for	for	ADP
ejpam-5562	42	25	more	more	ADV
ejpam-5562	42	26	complex	complex	ADJ
ejpam-5562	42	27	neutral	neutral	ADJ
ejpam-5562	42	28	ddes	dde	NOUN
ejpam-5562	42	29	.	.	PUNCT
ejpam-5562	43	1	andre	andre	PROPN
ejpam-5562	43	2	a.	a.	PROPN
ejpam-5562	43	3	kelle	kelle	PROPN
ejpam-5562	44	1	[	[	X
ejpam-5562	44	2	11	11	NUM
ejpam-5562	44	3	]	]	PUNCT
ejpam-5562	44	4	explores	explore	VERB
ejpam-5562	44	5	the	the	DET
ejpam-5562	44	6	application	application	NOUN
ejpam-5562	44	7	of	of	ADP
ejpam-5562	44	8	ddes	dde	NOUN
ejpam-5562	44	9	in	in	ADP
ejpam-5562	44	10	economic	economic	ADJ
ejpam-5562	44	11	macro	macro	NOUN
ejpam-5562	44	12	dynamics	dynamic	NOUN
ejpam-5562	44	13	.	.	PUNCT
ejpam-5562	45	1	by	by	ADP
ejpam-5562	45	2	solving	solve	VERB
ejpam-5562	45	3	these	these	DET
ejpam-5562	45	4	equations	equation	NOUN
ejpam-5562	45	5	using	use	VERB
ejpam-5562	45	6	the	the	DET
ejpam-5562	45	7	laplace	laplace	NOUN
ejpam-5562	45	8	transform	transform	NOUN
ejpam-5562	45	9	and	and	CCONJ
ejpam-5562	45	10	other	other	ADJ
ejpam-5562	45	11	numerical	numerical	ADJ
ejpam-5562	45	12	techniques	technique	NOUN
ejpam-5562	45	13	,	,	PUNCT
ejpam-5562	45	14	the	the	DET
ejpam-5562	45	15	study	study	NOUN
ejpam-5562	45	16	demonstrates	demonstrate	VERB
ejpam-5562	45	17	the	the	DET
ejpam-5562	45	18	relevance	relevance	NOUN
ejpam-5562	45	19	of	of	ADP
ejpam-5562	45	20	ddes	dde	NOUN
ejpam-5562	45	21	in	in	ADP
ejpam-5562	45	22	modeling	model	VERB
ejpam-5562	45	23	economic	economic	ADJ
ejpam-5562	45	24	systems	system	NOUN
ejpam-5562	45	25	with	with	ADP
ejpam-5562	45	26	constant	constant	ADJ
ejpam-5562	45	27	or	or	CCONJ
ejpam-5562	45	28	flexible	flexible	ADJ
ejpam-5562	45	29	lags	lag	NOUN
ejpam-5562	45	30	[	[	X
ejpam-5562	45	31	12–15	12–15	NUM
ejpam-5562	45	32	]	]	PUNCT
ejpam-5562	45	33	.	.	PUNCT
ejpam-5562	46	1	sohaly	sohaly	NOUN
ejpam-5562	46	2	and	and	CCONJ
ejpam-5562	46	3	elfouly	elfouly	ADV
ejpam-5562	46	4	[	[	X
ejpam-5562	46	5	16	16	NUM
ejpam-5562	46	6	]	]	PUNCT
ejpam-5562	46	7	explore	explore	VERB
ejpam-5562	46	8	the	the	DET
ejpam-5562	46	9	stability	stability	NOUN
ejpam-5562	46	10	of	of	ADP
ejpam-5562	46	11	pd	pd	PROPN
ejpam-5562	46	12	models	model	NOUN
ejpam-5562	46	13	formulated	formulate	VERB
ejpam-5562	46	14	as	as	ADP
ejpam-5562	46	15	nonlinear	nonlinear	ADJ
ejpam-5562	46	16	delay	delay	NOUN
ejpam-5562	46	17	differential	differential	PROPN
ejpam-5562	46	18	equations	equation	NOUN
ejpam-5562	46	19	.	.	PUNCT
ejpam-5562	47	1	their	their	PRON
ejpam-5562	47	2	work	work	NOUN
ejpam-5562	47	3	highlights	highlight	NOUN
ejpam-5562	47	4	that	that	PRON
ejpam-5562	47	5	aft	aft	VERB
ejpam-5562	47	6	er	er	INTJ
ejpam-5562	47	7	prolonged	prolong	VERB
ejpam-5562	47	8	use	use	NOUN
ejpam-5562	47	9	of	of	ADP
ejpam-5562	47	10	dopamine	dopamine	NOUN
ejpam-5562	47	11	enhancing	enhance	VERB
ejpam-5562	47	12	drugs	drug	NOUN
ejpam-5562	47	13	,	,	PUNCT
ejpam-5562	47	14	positive	positive	ADJ
ejpam-5562	47	15	feedback	feedback	NOUN
ejpam-5562	47	16	mechanisms	mechanism	NOUN
ejpam-5562	47	17	may	may	AUX
ejpam-5562	47	18	exacerbate	exacerbate	VERB
ejpam-5562	47	19	patient	patient	ADJ
ejpam-5562	47	20	tremors	tremor	NOUN
ejpam-5562	47	21	,	,	PUNCT
ejpam-5562	47	22	leading	lead	VERB
ejpam-5562	47	23	to	to	ADP
ejpam-5562	47	24	instability	instability	NOUN
ejpam-5562	47	25	in	in	ADP
ejpam-5562	47	26	the	the	DET
ejpam-5562	47	27	system	system	NOUN
ejpam-5562	47	28	.	.	PUNCT
ejpam-5562	48	1	the	the	DET
ejpam-5562	48	2	oscillatory	oscillatory	ADJ
ejpam-5562	48	3	behavior	behavior	NOUN
ejpam-5562	48	4	of	of	ADP
ejpam-5562	48	5	pd	pd	PROPN
ejpam-5562	48	6	models	model	NOUN
ejpam-5562	48	7	with	with	ADP
ejpam-5562	48	8	discrete	discrete	ADJ
ejpam-5562	48	9	and	and	CCONJ
ejpam-5562	48	10	distributed	distribute	VERB
ejpam-5562	48	11	delays	delay	NOUN
ejpam-5562	48	12	was	be	AUX
ejpam-5562	48	13	investigated	investigate	VERB
ejpam-5562	48	14	by	by	ADP
ejpam-5562	48	15	chunhua	chunhua	PROPN
ejpam-5562	48	16	feng	feng	PROPN
ejpam-5562	49	1	[	[	X
ejpam-5562	49	2	17	17	NUM
ejpam-5562	49	3	]	]	PUNCT
ejpam-5562	49	4	.	.	PUNCT
ejpam-5562	50	1	by	by	ADP
ejpam-5562	50	2	converting	convert	VERB
ejpam-5562	50	3	distributed	distribute	VERB
ejpam-5562	50	4	delays	delay	NOUN
ejpam-5562	50	5	into	into	ADP
ejpam-5562	50	6	equivalent	equivalent	ADJ
ejpam-5562	50	7	discrete	discrete	ADJ
ejpam-5562	50	8	delays	delay	NOUN
ejpam-5562	50	9	,	,	PUNCT
ejpam-5562	50	10	the	the	DET
ejpam-5562	50	11	model	model	NOUN
ejpam-5562	50	12	can	can	AUX
ejpam-5562	50	13	be	be	AUX
ejpam-5562	50	14	linearized	linearize	VERB
ejpam-5562	50	15	around	around	ADP
ejpam-5562	50	16	equilibrium	equilibrium	NOUN
ejpam-5562	50	17	points	point	NOUN
ejpam-5562	50	18	.	.	PUNCT
ejpam-5562	51	1	feng	feng	PROPN
ejpam-5562	51	2	demonstrates	demonstrate	VERB
ejpam-5562	51	3	that	that	SCONJ
ejpam-5562	51	4	the	the	DET
ejpam-5562	51	5	stability	stability	NOUN
ejpam-5562	51	6	of	of	ADP
ejpam-5562	51	7	the	the	DET
ejpam-5562	51	8	linearized	linearize	VERB
ejpam-5562	51	9	system	system	NOUN
ejpam-5562	51	10	is	be	AUX
ejpam-5562	51	11	a	a	DET
ejpam-5562	51	12	good	good	ADJ
ejpam-5562	51	13	indicator	indicator	NOUN
ejpam-5562	51	14	of	of	ADP
ejpam-5562	51	15	the	the	DET
ejpam-5562	51	16	overall	overall	ADJ
ejpam-5562	51	17	system	system	NOUN
ejpam-5562	51	18	’s	’s	PART
ejpam-5562	51	19	stability	stability	NOUN
ejpam-5562	51	20	.	.	PUNCT
ejpam-5562	52	1	importantly	importantly	ADV
ejpam-5562	52	2	,	,	PUNCT
ejpam-5562	52	3	this	this	DET
ejpam-5562	52	4	work	work	NOUN
ejpam-5562	52	5	shows	show	VERB
ejpam-5562	52	6	that	that	SCONJ
ejpam-5562	52	7	even	even	ADV
ejpam-5562	52	8	small	small	ADJ
ejpam-5562	52	9	delays	delay	NOUN
ejpam-5562	52	10	can	can	AUX
ejpam-5562	52	11	destabilize	destabilize	VERB
ejpam-5562	52	12	the	the	DET
ejpam-5562	52	13	system	system	NOUN
ejpam-5562	52	14	,	,	PUNCT
ejpam-5562	52	15	which	which	PRON
ejpam-5562	52	16	is	be	AUX
ejpam-5562	52	17	crucial	crucial	ADJ
ejpam-5562	52	18	for	for	ADP
ejpam-5562	52	19	understanding	understand	VERB
ejpam-5562	52	20	the	the	DET
ejpam-5562	52	21	effects	effect	NOUN
ejpam-5562	52	22	of	of	ADP
ejpam-5562	52	23	delayed	delay	VERB
ejpam-5562	52	24	feedback	feedback	NOUN
ejpam-5562	52	25	in	in	ADP
ejpam-5562	52	26	pd	pd	PROPN
ejpam-5562	52	27	dynamics	dynamic	NOUN
ejpam-5562	52	28	.	.	PUNCT
ejpam-5562	53	1	kayelvizhi	kayelvizhi	PROPN
ejpam-5562	53	2	and	and	CCONJ
ejpam-5562	53	3	pushpam	pushpam	VERB
ejpam-5562	53	4	[	[	X
ejpam-5562	53	5	18	18	NUM
ejpam-5562	53	6	]	]	PUNCT
ejpam-5562	53	7	introduce	introduce	VERB
ejpam-5562	53	8	a	a	DET
ejpam-5562	53	9	polynomial	polynomial	ADJ
ejpam-5562	53	10	collocation	collocation	NOUN
ejpam-5562	53	11	method	method	NOUN
ejpam-5562	53	12	based	base	VERB
ejpam-5562	53	13	on	on	ADP
ejpam-5562	53	14	g.	g.	PROPN
ejpam-5562	53	15	veerabathiran	veerabathiran	PROPN
ejpam-5562	53	16	,	,	PUNCT
ejpam-5562	53	17	g.	g.	PROPN
ejpam-5562	53	18	j.	j.	PROPN
ejpam-5562	53	19	kumar	kumar	PROPN
ejpam-5562	53	20	,	,	PUNCT
ejpam-5562	53	21	s.	s.	PROPN
ejpam-5562	53	22	donganont	donganont	PROPN
ejpam-5562	53	23	/	/	SYM
ejpam-5562	53	24	eur	eur	PROPN
ejpam-5562	53	25	.	.	PUNCT
ejpam-5562	54	1	j.	j.	PROPN
ejpam-5562	54	2	pure	pure	PROPN
ejpam-5562	54	3	appl	appl	PROPN
ejpam-5562	54	4	.	.	PROPN
ejpam-5562	54	5	math	math	PROPN
ejpam-5562	54	6	,	,	PUNCT
ejpam-5562	54	7	18	18	NUM
ejpam-5562	54	8	(	(	PUNCT
ejpam-5562	54	9	2	2	NUM
ejpam-5562	54	10	)	)	PUNCT
ejpam-5562	54	11	(	(	PUNCT
ejpam-5562	54	12	2025	2025	NUM
ejpam-5562	54	13	)	)	PUNCT
ejpam-5562	54	14	,	,	PUNCT
ejpam-5562	54	15	5562	5562	NUM
ejpam-5562	54	16	3	3	NUM
ejpam-5562	54	17	of	of	ADP
ejpam-5562	54	18	20	20	NUM
ejpam-5562	54	19	successive	successive	ADJ
ejpam-5562	54	20	integration	integration	NOUN
ejpam-5562	54	21	techniques	technique	NOUN
ejpam-5562	54	22	for	for	ADP
ejpam-5562	54	23	solving	solve	VERB
ejpam-5562	54	24	nonlinear	nonlinear	ADJ
ejpam-5562	54	25	ddes	dde	NOUN
ejpam-5562	54	26	in	in	ADP
ejpam-5562	54	27	pd	pd	NOUN
ejpam-5562	54	28	models	model	NOUN
ejpam-5562	54	29	.	.	PUNCT
ejpam-5562	55	1	they	they	PRON
ejpam-5562	55	2	explore	explore	VERB
ejpam-5562	55	3	various	various	ADJ
ejpam-5562	55	4	classical	classical	ADJ
ejpam-5562	55	5	orthogonal	orthogonal	ADJ
ejpam-5562	55	6	polynomials	polynomial	NOUN
ejpam-5562	55	7	,	,	PUNCT
ejpam-5562	55	8	such	such	ADJ
ejpam-5562	55	9	as	as	ADP
ejpam-5562	55	10	bernoulli	bernoulli	PROPN
ejpam-5562	55	11	,	,	PUNCT
ejpam-5562	55	12	chebyshev	chebyshev	PROPN
ejpam-5562	55	13	,	,	PUNCT
ejpam-5562	55	14	and	and	CCONJ
ejpam-5562	55	15	hermite	hermite	ADJ
ejpam-5562	55	16	polynomials	polynomial	NOUN
ejpam-5562	55	17	,	,	PUNCT
ejpam-5562	55	18	to	to	PART
ejpam-5562	55	19	approximate	approximate	VERB
ejpam-5562	55	20	solutions	solution	NOUN
ejpam-5562	55	21	to	to	ADP
ejpam-5562	55	22	the	the	DET
ejpam-5562	55	23	ddes	dde	NOUN
ejpam-5562	55	24	.	.	PUNCT
ejpam-5562	56	1	their	their	PRON
ejpam-5562	56	2	numerical	numerical	ADJ
ejpam-5562	56	3	simulations	simulation	NOUN
ejpam-5562	56	4	show	show	VERB
ejpam-5562	56	5	that	that	SCONJ
ejpam-5562	56	6	the	the	DET
ejpam-5562	56	7	proposed	propose	VERB
ejpam-5562	56	8	method	method	NOUN
ejpam-5562	56	9	is	be	AUX
ejpam-5562	56	10	highly	highly	ADV
ejpam-5562	56	11	effective	effective	ADJ
ejpam-5562	56	12	and	and	CCONJ
ejpam-5562	56	13	reliable	reliable	ADJ
ejpam-5562	56	14	compared	compare	VERB
ejpam-5562	56	15	to	to	ADP
ejpam-5562	56	16	traditional	traditional	ADJ
ejpam-5562	56	17	step	step	NOUN
ejpam-5562	56	18	methods	method	NOUN
ejpam-5562	56	19	.	.	PUNCT
ejpam-5562	57	1	the	the	DET
ejpam-5562	57	2	novelty	novelty	NOUN
ejpam-5562	57	3	of	of	ADP
ejpam-5562	57	4	their	their	PRON
ejpam-5562	57	5	approach	approach	NOUN
ejpam-5562	57	6	lies	lie	VERB
ejpam-5562	57	7	in	in	ADP
ejpam-5562	57	8	its	its	PRON
ejpam-5562	57	9	simplicity	simplicity	NOUN
ejpam-5562	57	10	and	and	CCONJ
ejpam-5562	57	11	applicability	applicability	NOUN
ejpam-5562	57	12	to	to	ADP
ejpam-5562	57	13	real	real	ADJ
ejpam-5562	57	14	world	world	NOUN
ejpam-5562	57	15	problems	problem	NOUN
ejpam-5562	57	16	across	across	ADP
ejpam-5562	57	17	various	various	ADJ
ejpam-5562	57	18	scientific	scientific	ADJ
ejpam-5562	57	19	and	and	CCONJ
ejpam-5562	57	20	engineering	engineering	NOUN
ejpam-5562	57	21	domains	domain	NOUN
ejpam-5562	57	22	.	.	PUNCT
ejpam-5562	58	1	an	an	DET
ejpam-5562	58	2	interdisciplinary	interdisciplinary	ADJ
ejpam-5562	58	3	approach	approach	NOUN
ejpam-5562	58	4	by	by	ADP
ejpam-5562	58	5	combining	combine	VERB
ejpam-5562	58	6	control	control	NOUN
ejpam-5562	58	7	theory	theory	NOUN
ejpam-5562	58	8	,	,	PUNCT
ejpam-5562	58	9	computational	computational	ADJ
ejpam-5562	58	10	neuroscience	neuroscience	NOUN
ejpam-5562	58	11	,	,	PUNCT
ejpam-5562	58	12	and	and	CCONJ
ejpam-5562	58	13	deep	deep	ADJ
ejpam-5562	58	14	brain	brain	NOUN
ejpam-5562	58	15	stimulation	stimulation	NOUN
ejpam-5562	58	16	(	(	PUNCT
ejpam-5562	58	17	dbs	dbs	PROPN
ejpam-5562	58	18	)	)	PUNCT
ejpam-5562	58	19	for	for	ADP
ejpam-5562	58	20	pd	pd	NOUN
ejpam-5562	58	21	treatment	treatment	NOUN
ejpam-5562	58	22	examined	examine	VERB
ejpam-5562	58	23	by	by	ADP
ejpam-5562	58	24	schiff	schiff	NOUN
ejpam-5562	58	25	[	[	X
ejpam-5562	58	26	19	19	NUM
ejpam-5562	58	27	]	]	PUNCT
ejpam-5562	58	28	.	.	PUNCT
ejpam-5562	59	1	the	the	DET
ejpam-5562	59	2	study	study	NOUN
ejpam-5562	59	3	emphasizes	emphasize	VERB
ejpam-5562	59	4	the	the	DET
ejpam-5562	59	5	role	role	NOUN
ejpam-5562	59	6	of	of	ADP
ejpam-5562	59	7	modern	modern	ADJ
ejpam-5562	59	8	model	model	NOUN
ejpam-5562	59	9	based	base	VERB
ejpam-5562	59	10	control	control	PROPN
ejpam-5562	59	11	theory	theory	NOUN
ejpam-5562	59	12	in	in	ADP
ejpam-5562	59	13	improving	improve	VERB
ejpam-5562	59	14	the	the	DET
ejpam-5562	59	15	efficacy	efficacy	NOUN
ejpam-5562	59	16	of	of	ADP
ejpam-5562	59	17	nonlinear	nonlinear	ADJ
ejpam-5562	59	18	dynamic	dynamic	ADJ
ejpam-5562	59	19	systems	system	NOUN
ejpam-5562	59	20	,	,	PUNCT
ejpam-5562	59	21	particularly	particularly	ADV
ejpam-5562	59	22	through	through	ADP
ejpam-5562	59	23	the	the	DET
ejpam-5562	59	24	integration	integration	NOUN
ejpam-5562	59	25	of	of	ADP
ejpam-5562	59	26	computational	computational	ADJ
ejpam-5562	59	27	models	model	NOUN
ejpam-5562	59	28	of	of	ADP
ejpam-5562	59	29	neuronal	neuronal	ADJ
ejpam-5562	59	30	networks	network	NOUN
ejpam-5562	59	31	.	.	PUNCT
ejpam-5562	60	1	dovzhenok	dovzhenok	NOUN
ejpam-5562	60	2	and	and	CCONJ
ejpam-5562	60	3	rubchinsky	rubchinsky	NOUN
ejpam-5562	60	4	[	[	X
ejpam-5562	60	5	20	20	NUM
ejpam-5562	60	6	]	]	PUNCT
ejpam-5562	60	7	delve	delve	VERB
ejpam-5562	60	8	into	into	ADP
ejpam-5562	60	9	the	the	DET
ejpam-5562	60	10	origin	origin	NOUN
ejpam-5562	60	11	of	of	ADP
ejpam-5562	60	12	tremors	tremor	NOUN
ejpam-5562	60	13	in	in	ADP
ejpam-5562	60	14	pd	pd	PROPN
ejpam-5562	60	15	by	by	ADP
ejpam-5562	60	16	examining	examine	VERB
ejpam-5562	60	17	the	the	DET
ejpam-5562	60	18	basal	basal	ADJ
ejpam-5562	60	19	ganglia	ganglia	NOUN
ejpam-5562	60	20	thalamo	thalamo	NOUN
ejpam-5562	60	21	cortical	cortical	ADJ
ejpam-5562	60	22	loop	loop	NOUN
ejpam-5562	60	23	as	as	ADP
ejpam-5562	60	24	a	a	DET
ejpam-5562	60	25	primary	primary	ADJ
ejpam-5562	60	26	generator	generator	NOUN
ejpam-5562	60	27	of	of	ADP
ejpam-5562	60	28	tremor	tremor	NOUN
ejpam-5562	60	29	activity	activity	NOUN
ejpam-5562	60	30	.	.	PUNCT
ejpam-5562	61	1	using	use	VERB
ejpam-5562	61	2	a	a	DET
ejpam-5562	61	3	conductance	conductance	NOUN
ejpam-5562	61	4	based	base	VERB
ejpam-5562	61	5	model	model	NOUN
ejpam-5562	61	6	of	of	ADP
ejpam-5562	61	7	subthalamo	subthalamo	NOUN
ejpam-5562	61	8	pallidal	pallidal	ADJ
ejpam-5562	61	9	circuits	circuit	NOUN
ejpam-5562	61	10	,	,	PUNCT
ejpam-5562	61	11	they	they	PRON
ejpam-5562	61	12	demonstrate	demonstrate	VERB
ejpam-5562	61	13	how	how	SCONJ
ejpam-5562	61	14	variations	variation	NOUN
ejpam-5562	61	15	in	in	ADP
ejpam-5562	61	16	dopamine	dopamine	NOUN
ejpam-5562	61	17	modulated	modulate	VERB
ejpam-5562	61	18	connections	connection	NOUN
ejpam-5562	61	19	within	within	ADP
ejpam-5562	61	20	this	this	DET
ejpam-5562	61	21	loop	loop	NOUN
ejpam-5562	61	22	lead	lead	NOUN
ejpam-5562	61	23	to	to	ADP
ejpam-5562	61	24	tremor	tremor	NOUN
ejpam-5562	61	25	like	like	ADP
ejpam-5562	61	26	burst	burst	ADJ
ejpam-5562	61	27	firing	firing	NOUN
ejpam-5562	61	28	.	.	PUNCT
ejpam-5562	62	1	their	their	PRON
ejpam-5562	62	2	findings	finding	NOUN
ejpam-5562	62	3	suggest	suggest	VERB
ejpam-5562	62	4	that	that	SCONJ
ejpam-5562	62	5	modulating	modulate	VERB
ejpam-5562	62	6	these	these	DET
ejpam-5562	62	7	connections	connection	NOUN
ejpam-5562	62	8	through	through	ADP
ejpam-5562	62	9	dopaminergic	dopaminergic	ADJ
ejpam-5562	62	10	therapy	therapy	NOUN
ejpam-5562	62	11	or	or	CCONJ
ejpam-5562	62	12	disrupting	disrupt	VERB
ejpam-5562	62	13	the	the	DET
ejpam-5562	62	14	loop	loop	NOUN
ejpam-5562	62	15	through	through	ADP
ejpam-5562	62	16	surgical	surgical	ADJ
ejpam-5562	62	17	interventions	intervention	NOUN
ejpam-5562	62	18	can	can	AUX
ejpam-5562	62	19	suppress	suppress	VERB
ejpam-5562	62	20	tremor	tremor	NOUN
ejpam-5562	62	21	activity	activity	NOUN
ejpam-5562	62	22	.	.	PUNCT
ejpam-5562	63	1	this	this	DET
ejpam-5562	63	2	work	work	NOUN
ejpam-5562	63	3	provides	provide	VERB
ejpam-5562	63	4	mechanistic	mechanistic	ADJ
ejpam-5562	63	5	insights	insight	NOUN
ejpam-5562	63	6	into	into	ADP
ejpam-5562	63	7	potential	potential	ADJ
ejpam-5562	63	8	therapeutic	therapeutic	ADJ
ejpam-5562	63	9	targets	target	NOUN
ejpam-5562	63	10	within	within	ADP
ejpam-5562	63	11	the	the	DET
ejpam-5562	63	12	basal	basal	ADJ
ejpam-5562	63	13	ganglia	ganglia	NOUN
ejpam-5562	63	14	thalamo	thalamo	NOUN
ejpam-5562	63	15	cortical	cortical	ADJ
ejpam-5562	63	16	loop	loop	NOUN
ejpam-5562	63	17	for	for	ADP
ejpam-5562	63	18	tremor	tremor	NOUN
ejpam-5562	63	19	suppression	suppression	NOUN
ejpam-5562	63	20	.	.	PUNCT
ejpam-5562	64	1	the	the	DET
ejpam-5562	64	2	significance	significance	NOUN
ejpam-5562	64	3	of	of	ADP
ejpam-5562	64	4	beta	beta	ADJ
ejpam-5562	64	5	band	band	NOUN
ejpam-5562	64	6	oscillations	oscillation	NOUN
ejpam-5562	64	7	,	,	PUNCT
ejpam-5562	64	8	which	which	PRON
ejpam-5562	64	9	are	be	AUX
ejpam-5562	64	10	associated	associate	VERB
ejpam-5562	64	11	with	with	ADP
ejpam-5562	64	12	motor	motor	NOUN
ejpam-5562	64	13	symptoms	symptom	NOUN
ejpam-5562	64	14	in	in	ADP
ejpam-5562	64	15	pd	pd	PROPN
ejpam-5562	64	16	,	,	PUNCT
ejpam-5562	64	17	particularly	particularly	ADV
ejpam-5562	64	18	when	when	SCONJ
ejpam-5562	64	19	the	the	DET
ejpam-5562	64	20	patient	patient	NOUN
ejpam-5562	64	21	is	be	AUX
ejpam-5562	64	22	off	off	ADP
ejpam-5562	64	23	medication	medication	NOUN
ejpam-5562	64	24	examined	examine	VERB
ejpam-5562	64	25	by	by	ADP
ejpam-5562	64	26	duchet	duchet	NOUN
ejpam-5562	64	27	[	[	X
ejpam-5562	64	28	21	21	NUM
ejpam-5562	64	29	]	]	PUNCT
ejpam-5562	64	30	.	.	PUNCT
ejpam-5562	65	1	their	their	PRON
ejpam-5562	65	2	study	study	NOUN
ejpam-5562	65	3	focuses	focus	VERB
ejpam-5562	65	4	on	on	ADP
ejpam-5562	65	5	the	the	DET
ejpam-5562	65	6	duration	duration	NOUN
ejpam-5562	65	7	of	of	ADP
ejpam-5562	65	8	beta	beta	ADJ
ejpam-5562	65	9	bursts	burst	NOUN
ejpam-5562	65	10	,	,	PUNCT
ejpam-5562	65	11	analyzing	analyze	VERB
ejpam-5562	65	12	how	how	SCONJ
ejpam-5562	65	13	these	these	DET
ejpam-5562	65	14	bursts	burst	NOUN
ejpam-5562	65	15	change	change	VERB
ejpam-5562	65	16	between	between	ADP
ejpam-5562	65	17	on	on	ADP
ejpam-5562	65	18	and	and	CCONJ
ejpam-5562	65	19	off	off	ADP
ejpam-5562	65	20	medication	medication	NOUN
ejpam-5562	65	21	states	state	NOUN
ejpam-5562	65	22	.	.	PUNCT
ejpam-5562	66	1	by	by	ADP
ejpam-5562	66	2	investigating	investigate	VERB
ejpam-5562	66	3	local	local	ADJ
ejpam-5562	66	4	field	field	NOUN
ejpam-5562	66	5	potentials	potential	VERB
ejpam-5562	66	6	from	from	ADP
ejpam-5562	66	7	the	the	DET
ejpam-5562	66	8	subthalamic	subthalamic	ADJ
ejpam-5562	66	9	nucleus	nucleus	NOUN
ejpam-5562	66	10	,	,	PUNCT
ejpam-5562	66	11	they	they	PRON
ejpam-5562	66	12	show	show	VERB
ejpam-5562	66	13	that	that	SCONJ
ejpam-5562	66	14	the	the	DET
ejpam-5562	66	15	non	non	ADJ
ejpam-5562	66	16	linearity	linearity	NOUN
ejpam-5562	66	17	in	in	ADP
ejpam-5562	66	18	beta	beta	NOUN
ejpam-5562	66	19	oscillation	oscillation	NOUN
ejpam-5562	66	20	dynamics	dynamic	NOUN
ejpam-5562	66	21	correlates	correlate	VERB
ejpam-5562	66	22	with	with	ADP
ejpam-5562	66	23	motor	motor	NOUN
ejpam-5562	66	24	impairments	impairment	NOUN
ejpam-5562	66	25	.	.	PUNCT
ejpam-5562	67	1	langston	langston	PROPN
ejpam-5562	68	1	[	[	X
ejpam-5562	68	2	22	22	NUM
ejpam-5562	68	3	]	]	PUNCT
ejpam-5562	68	4	provided	provide	VERB
ejpam-5562	68	5	a	a	DET
ejpam-5562	68	6	historical	historical	ADJ
ejpam-5562	68	7	perspective	perspective	NOUN
ejpam-5562	68	8	on	on	ADP
ejpam-5562	68	9	the	the	DET
ejpam-5562	68	10	discovery	discovery	NOUN
ejpam-5562	68	11	of	of	ADP
ejpam-5562	68	12	mptp	mptp	PROPN
ejpam-5562	68	13	,	,	PUNCT
ejpam-5562	68	14	a	a	DET
ejpam-5562	68	15	compound	compound	NOUN
ejpam-5562	68	16	that	that	PRON
ejpam-5562	68	17	induces	induce	VERB
ejpam-5562	68	18	selective	selective	ADJ
ejpam-5562	68	19	degeneration	degeneration	NOUN
ejpam-5562	68	20	of	of	ADP
ejpam-5562	68	21	the	the	DET
ejpam-5562	68	22	substantia	substantia	NOUN
ejpam-5562	68	23	nigra	nigra	NOUN
ejpam-5562	68	24	,	,	PUNCT
ejpam-5562	68	25	mirroring	mirror	VERB
ejpam-5562	68	26	pd	pd	PROPN
ejpam-5562	68	27	’s	’s	PART
ejpam-5562	68	28	effects	effect	NOUN
ejpam-5562	68	29	.	.	PUNCT
ejpam-5562	69	1	the	the	DET
ejpam-5562	69	2	discovery	discovery	NOUN
ejpam-5562	69	3	of	of	ADP
ejpam-5562	69	4	mptp	mptp	PROPN
ejpam-5562	69	5	revolutionized	revolutionize	VERB
ejpam-5562	69	6	pd	pd	PROPN
ejpam-5562	69	7	research	research	NOUN
ejpam-5562	69	8	,	,	PUNCT
ejpam-5562	69	9	offering	offer	VERB
ejpam-5562	69	10	an	an	DET
ejpam-5562	69	11	animal	animal	NOUN
ejpam-5562	69	12	model	model	NOUN
ejpam-5562	69	13	that	that	PRON
ejpam-5562	69	14	mimics	mimic	VERB
ejpam-5562	69	15	the	the	DET
ejpam-5562	69	16	disease	disease	NOUN
ejpam-5562	69	17	’s	’s	PART
ejpam-5562	69	18	progression	progression	NOUN
ejpam-5562	69	19	.	.	PUNCT
ejpam-5562	70	1	lainscsek	lainscsek	VERB
ejpam-5562	71	1	[	[	X
ejpam-5562	71	2	23	23	NUM
ejpam-5562	71	3	]	]	PUNCT
ejpam-5562	71	4	presented	present	VERB
ejpam-5562	71	5	an	an	DET
ejpam-5562	71	6	innovative	innovative	ADJ
ejpam-5562	71	7	approach	approach	NOUN
ejpam-5562	71	8	to	to	ADP
ejpam-5562	71	9	assessing	assess	VERB
ejpam-5562	71	10	the	the	DET
ejpam-5562	71	11	severity	severity	NOUN
ejpam-5562	71	12	of	of	ADP
ejpam-5562	71	13	pd	pd	PROPN
ejpam-5562	71	14	motor	motor	NOUN
ejpam-5562	71	15	symptoms	symptom	NOUN
ejpam-5562	71	16	,	,	PUNCT
ejpam-5562	71	17	particularly	particularly	ADV
ejpam-5562	71	18	finger	finger	NOUN
ejpam-5562	71	19	tapping	tapping	NOUN
ejpam-5562	71	20	movements	movement	NOUN
ejpam-5562	71	21	,	,	PUNCT
ejpam-5562	71	22	through	through	ADP
ejpam-5562	71	23	the	the	DET
ejpam-5562	71	24	use	use	NOUN
ejpam-5562	71	25	of	of	ADP
ejpam-5562	71	26	nonlinear	nonlinear	ADJ
ejpam-5562	71	27	delay	delay	NOUN
ejpam-5562	71	28	differential	differential	PROPN
ejpam-5562	71	29	equations	equation	NOUN
ejpam-5562	71	30	.	.	PUNCT
ejpam-5562	72	1	by	by	ADP
ejpam-5562	72	2	fitting	fit	VERB
ejpam-5562	72	3	these	these	DET
ejpam-5562	72	4	equations	equation	NOUN
ejpam-5562	72	5	to	to	ADP
ejpam-5562	72	6	time	time	NOUN
ejpam-5562	72	7	series	series	PROPN
ejpam-5562	72	8	data	datum	NOUN
ejpam-5562	72	9	from	from	ADP
ejpam-5562	72	10	patients	patient	NOUN
ejpam-5562	72	11	,	,	PUNCT
ejpam-5562	72	12	the	the	DET
ejpam-5562	72	13	authors	author	NOUN
ejpam-5562	72	14	developed	develop	VERB
ejpam-5562	72	15	a	a	DET
ejpam-5562	72	16	six	six	NUM
ejpam-5562	72	17	dimensional	dimensional	ADJ
ejpam-5562	72	18	numerical	numerical	ADJ
ejpam-5562	72	19	descriptor	descriptor	NOUN
ejpam-5562	72	20	to	to	PART
ejpam-5562	72	21	rate	rate	VERB
ejpam-5562	72	22	motor	motor	NOUN
ejpam-5562	72	23	symptoms	symptom	NOUN
ejpam-5562	72	24	algorithmically	algorithmically	ADV
ejpam-5562	72	25	.	.	PUNCT
ejpam-5562	73	1	the	the	DET
ejpam-5562	73	2	intersection	intersection	NOUN
ejpam-5562	73	3	of	of	ADP
ejpam-5562	73	4	insulin	insulin	NOUN
ejpam-5562	73	5	resistance	resistance	NOUN
ejpam-5562	73	6	and	and	CCONJ
ejpam-5562	73	7	parkinson	parkinson	NOUN
ejpam-5562	73	8	’s	’s	PART
ejpam-5562	73	9	disease	disease	NOUN
ejpam-5562	73	10	through	through	ADP
ejpam-5562	73	11	a	a	DET
ejpam-5562	73	12	biochemical	biochemical	ADJ
ejpam-5562	73	13	systems	system	NOUN
ejpam-5562	73	14	theory	theory	NOUN
ejpam-5562	73	15	(	(	PUNCT
ejpam-5562	73	16	bst	bst	PROPN
ejpam-5562	73	17	)	)	PUNCT
ejpam-5562	73	18	model	model	NOUN
ejpam-5562	73	19	was	be	AUX
ejpam-5562	73	20	explored	explore	VERB
ejpam-5562	73	21	by	by	ADP
ejpam-5562	73	22	braatz	braatz	NOUN
ejpam-5562	73	23	and	and	CCONJ
ejpam-5562	73	24	coleman	coleman	PROPN
ejpam-5562	74	1	[	[	X
ejpam-5562	74	2	24	24	NUM
ejpam-5562	74	3	]	]	PUNCT
ejpam-5562	74	4	.	.	PUNCT
ejpam-5562	75	1	their	their	PRON
ejpam-5562	75	2	work	work	NOUN
ejpam-5562	75	3	highlights	highlight	VERB
ejpam-5562	75	4	the	the	DET
ejpam-5562	75	5	complex	complex	ADJ
ejpam-5562	75	6	interactions	interaction	NOUN
ejpam-5562	75	7	between	between	ADP
ejpam-5562	75	8	insulin	insulin	NOUN
ejpam-5562	75	9	signaling	signal	VERB
ejpam-5562	75	10	pathways	pathway	NOUN
ejpam-5562	75	11	and	and	CCONJ
ejpam-5562	75	12	neurodegeneration	neurodegeneration	NOUN
ejpam-5562	75	13	,	,	PUNCT
ejpam-5562	75	14	with	with	ADP
ejpam-5562	75	15	implications	implication	NOUN
ejpam-5562	75	16	for	for	ADP
ejpam-5562	75	17	identifying	identify	VERB
ejpam-5562	75	18	effective	effective	ADJ
ejpam-5562	75	19	treatment	treatment	NOUN
ejpam-5562	75	20	strategies	strategy	NOUN
ejpam-5562	75	21	.	.	PUNCT
ejpam-5562	76	1	by	by	ADP
ejpam-5562	76	2	using	use	VERB
ejpam-5562	76	3	matlab	matlab	PROPN
ejpam-5562	76	4	for	for	ADP
ejpam-5562	76	5	model	model	NOUN
ejpam-5562	76	6	simulation	simulation	NOUN
ejpam-5562	76	7	,	,	PUNCT
ejpam-5562	76	8	the	the	DET
ejpam-5562	76	9	authors	author	NOUN
ejpam-5562	76	10	provide	provide	VERB
ejpam-5562	76	11	insights	insight	NOUN
ejpam-5562	76	12	into	into	ADP
ejpam-5562	76	13	how	how	SCONJ
ejpam-5562	76	14	delayed	delay	VERB
ejpam-5562	76	15	treatments	treatment	NOUN
ejpam-5562	76	16	impact	impact	NOUN
ejpam-5562	76	17	disease	disease	NOUN
ejpam-5562	76	18	progression	progression	NOUN
ejpam-5562	76	19	.	.	PUNCT
ejpam-5562	77	1	this	this	DET
ejpam-5562	77	2	model	model	NOUN
ejpam-5562	77	3	underscores	underscore	VERB
ejpam-5562	77	4	the	the	DET
ejpam-5562	77	5	importance	importance	NOUN
ejpam-5562	77	6	of	of	ADP
ejpam-5562	77	7	early	early	ADJ
ejpam-5562	77	8	diagnosis	diagnosis	NOUN
ejpam-5562	77	9	and	and	CCONJ
ejpam-5562	77	10	offers	offer	VERB
ejpam-5562	77	11	a	a	DET
ejpam-5562	77	12	framework	framework	NOUN
ejpam-5562	77	13	for	for	ADP
ejpam-5562	77	14	testing	test	VERB
ejpam-5562	77	15	potential	potential	ADJ
ejpam-5562	77	16	treatments	treatment	NOUN
ejpam-5562	77	17	in	in	ADP
ejpam-5562	77	18	a	a	DET
ejpam-5562	77	19	computational	computational	ADJ
ejpam-5562	77	20	environment	environment	NOUN
ejpam-5562	77	21	,	,	PUNCT
ejpam-5562	77	22	further	far	ADV
ejpam-5562	77	23	illustrating	illustrate	VERB
ejpam-5562	77	24	the	the	DET
ejpam-5562	77	25	application	application	NOUN
ejpam-5562	77	26	of	of	ADP
ejpam-5562	77	27	mathematical	mathematical	ADJ
ejpam-5562	77	28	models	model	NOUN
ejpam-5562	77	29	in	in	ADP
ejpam-5562	77	30	pd	pd	PROPN
ejpam-5562	77	31	research	research	NOUN
ejpam-5562	77	32	.	.	PUNCT
ejpam-5562	78	1	bocharov	bocharov	ADJ
ejpam-5562	78	2	and	and	CCONJ
ejpam-5562	78	3	rihan	rihan	PROPN
ejpam-5562	79	1	[	[	X
ejpam-5562	79	2	25	25	NUM
ejpam-5562	79	3	]	]	PUNCT
ejpam-5562	79	4	emphasize	emphasize	VERB
ejpam-5562	79	5	the	the	DET
ejpam-5562	79	6	importance	importance	NOUN
ejpam-5562	79	7	of	of	ADP
ejpam-5562	79	8	ddes	dde	NOUN
ejpam-5562	79	9	in	in	ADP
ejpam-5562	79	10	biosciences	bioscience	NOUN
ejpam-5562	79	11	,	,	PUNCT
ejpam-5562	79	12	particularly	particularly	ADV
ejpam-5562	79	13	for	for	ADP
ejpam-5562	79	14	modeling	model	VERB
ejpam-5562	79	15	phenomena	phenomenon	NOUN
ejpam-5562	79	16	in	in	ADP
ejpam-5562	79	17	fields	field	NOUN
ejpam-5562	79	18	such	such	ADJ
ejpam-5562	79	19	as	as	ADP
ejpam-5562	79	20	epidemiology	epidemiology	NOUN
ejpam-5562	79	21	,	,	PUNCT
ejpam-5562	79	22	physiology	physiology	NOUN
ejpam-5562	79	23	,	,	PUNCT
ejpam-5562	79	24	and	and	CCONJ
ejpam-5562	79	25	neuroscience	neuroscience	NOUN
ejpam-5562	79	26	.	.	PUNCT
ejpam-5562	80	1	their	their	PRON
ejpam-5562	80	2	review	review	NOUN
ejpam-5562	80	3	highlights	highlight	NOUN
ejpam-5562	80	4	how	how	SCONJ
ejpam-5562	80	5	ddes	dde	NOUN
ejpam-5562	80	6	offer	offer	VERB
ejpam-5562	80	7	a	a	DET
ejpam-5562	80	8	richer	rich	ADJ
ejpam-5562	80	9	mathematical	mathematical	ADJ
ejpam-5562	80	10	framework	framework	NOUN
ejpam-5562	80	11	compared	compare	VERB
ejpam-5562	80	12	to	to	ADP
ejpam-5562	80	13	org	org	PROPN
ejpam-5562	80	14	.	.	PUNCT
ejpam-5562	81	1	veerabathiran	veerabathiran	ADJ
ejpam-5562	81	2	,	,	PUNCT
ejpam-5562	81	3	g.	g.	PROPN
ejpam-5562	81	4	j.	j.	PROPN
ejpam-5562	81	5	kumar	kumar	PROPN
ejpam-5562	81	6	,	,	PUNCT
ejpam-5562	81	7	s.	s.	PROPN
ejpam-5562	81	8	donganont	donganont	PROPN
ejpam-5562	81	9	/	/	SYM
ejpam-5562	81	10	eur	eur	PROPN
ejpam-5562	81	11	.	.	PUNCT
ejpam-5562	82	1	j.	j.	PROPN
ejpam-5562	82	2	pure	pure	PROPN
ejpam-5562	82	3	appl	appl	PROPN
ejpam-5562	82	4	.	.	PROPN
ejpam-5562	82	5	math	math	PROPN
ejpam-5562	82	6	,	,	PUNCT
ejpam-5562	82	7	18	18	NUM
ejpam-5562	82	8	(	(	PUNCT
ejpam-5562	82	9	2	2	NUM
ejpam-5562	82	10	)	)	PUNCT
ejpam-5562	82	11	(	(	PUNCT
ejpam-5562	82	12	2025	2025	NUM
ejpam-5562	82	13	)	)	PUNCT
ejpam-5562	82	14	,	,	PUNCT
ejpam-5562	82	15	5562	5562	NUM
ejpam-5562	82	16	4	4	NUM
ejpam-5562	82	17	of	of	ADP
ejpam-5562	82	18	20	20	NUM
ejpam-5562	82	19	dinary	dinary	ADJ
ejpam-5562	82	20	differential	differential	ADJ
ejpam-5562	82	21	equations	equation	NOUN
ejpam-5562	82	22	(	(	PUNCT
ejpam-5562	82	23	odes	ode	NOUN
ejpam-5562	82	24	)	)	PUNCT
ejpam-5562	82	25	,	,	PUNCT
ejpam-5562	82	26	better	well	ADV
ejpam-5562	82	27	capturing	capture	VERB
ejpam-5562	82	28	the	the	DET
ejpam-5562	82	29	temporal	temporal	ADJ
ejpam-5562	82	30	dynamics	dynamic	NOUN
ejpam-5562	82	31	of	of	ADP
ejpam-5562	82	32	biological	biological	ADJ
ejpam-5562	82	33	processes	process	NOUN
ejpam-5562	82	34	.	.	PUNCT
ejpam-5562	83	1	they	they	PRON
ejpam-5562	83	2	discuss	discuss	VERB
ejpam-5562	83	3	various	various	ADJ
ejpam-5562	83	4	numerical	numerical	ADJ
ejpam-5562	83	5	techniques	technique	NOUN
ejpam-5562	83	6	for	for	ADP
ejpam-5562	83	7	solving	solve	VERB
ejpam-5562	83	8	ddes	dde	NOUN
ejpam-5562	83	9	,	,	PUNCT
ejpam-5562	83	10	which	which	PRON
ejpam-5562	83	11	are	be	AUX
ejpam-5562	83	12	essential	essential	ADJ
ejpam-5562	83	13	for	for	ADP
ejpam-5562	83	14	understanding	understand	VERB
ejpam-5562	83	15	complex	complex	ADJ
ejpam-5562	83	16	biosystems	biosystem	NOUN
ejpam-5562	83	17	.	.	PUNCT
ejpam-5562	84	1	the	the	DET
ejpam-5562	84	2	application	application	NOUN
ejpam-5562	84	3	of	of	ADP
ejpam-5562	84	4	these	these	DET
ejpam-5562	84	5	methods	method	NOUN
ejpam-5562	84	6	in	in	ADP
ejpam-5562	84	7	pd	pd	PROPN
ejpam-5562	84	8	research	research	NOUN
ejpam-5562	84	9	has	have	AUX
ejpam-5562	84	10	contributed	contribute	VERB
ejpam-5562	84	11	to	to	ADP
ejpam-5562	84	12	a	a	DET
ejpam-5562	84	13	deeper	deep	ADJ
ejpam-5562	84	14	understanding	understanding	NOUN
ejpam-5562	84	15	of	of	ADP
ejpam-5562	84	16	the	the	DET
ejpam-5562	84	17	disease	disease	NOUN
ejpam-5562	84	18	’s	’s	PART
ejpam-5562	84	19	progression	progression	NOUN
ejpam-5562	84	20	and	and	CCONJ
ejpam-5562	84	21	potential	potential	ADJ
ejpam-5562	84	22	interventions	intervention	NOUN
ejpam-5562	84	23	.	.	PUNCT
ejpam-5562	85	1	a	a	DET
ejpam-5562	85	2	competition	competition	NOUN
ejpam-5562	85	3	model	model	NOUN
ejpam-5562	85	4	of	of	ADP
ejpam-5562	85	5	tumor	tumor	NOUN
ejpam-5562	85	6	growth	growth	NOUN
ejpam-5562	85	7	incorporating	incorporate	VERB
ejpam-5562	85	8	the	the	DET
ejpam-5562	85	9	immune	immune	ADJ
ejpam-5562	85	10	response	response	NOUN
ejpam-5562	85	11	and	and	CCONJ
ejpam-5562	85	12	phase	phase	VERB
ejpam-5562	85	13	specific	specific	ADJ
ejpam-5562	85	14	drugs	drug	NOUN
ejpam-5562	85	15	introduced	introduce	VERB
ejpam-5562	85	16	by	by	ADP
ejpam-5562	85	17	villasana	villasana	PROPN
ejpam-5562	85	18	and	and	CCONJ
ejpam-5562	85	19	radunskaya	radunskaya	VERB
ejpam-5562	85	20	[	[	X
ejpam-5562	85	21	26	26	NUM
ejpam-5562	85	22	]	]	PUNCT
ejpam-5562	85	23	.	.	PUNCT
ejpam-5562	86	1	ddes	ddes	PROPN
ejpam-5562	86	2	model	model	VERB
ejpam-5562	86	3	the	the	DET
ejpam-5562	86	4	phases	phase	NOUN
ejpam-5562	86	5	ofthe	ofthe	ADJ
ejpam-5562	86	6	cell	cell	NOUN
ejpam-5562	86	7	cycle	cycle	NOUN
ejpam-5562	86	8	,	,	PUNCT
ejpam-5562	86	9	and	and	CCONJ
ejpam-5562	86	10	stability	stability	NOUN
ejpam-5562	86	11	analysis	analysis	NOUN
ejpam-5562	86	12	reveals	reveal	VERB
ejpam-5562	86	13	that	that	SCONJ
ejpam-5562	86	14	the	the	DET
ejpam-5562	86	15	system	system	NOUN
ejpam-5562	86	16	can	can	AUX
ejpam-5562	86	17	exhibit	exhibit	VERB
ejpam-5562	86	18	periodic	periodic	ADJ
ejpam-5562	86	19	solutions	solution	NOUN
ejpam-5562	86	20	through	through	ADP
ejpam-5562	86	21	hopf	hopf	ADJ
ejpam-5562	86	22	bifurcations	bifurcation	NOUN
ejpam-5562	86	23	.	.	PUNCT
ejpam-5562	87	1	this	this	PRON
ejpam-5562	87	2	highlights	highlight	VERB
ejpam-5562	87	3	the	the	DET
ejpam-5562	87	4	importance	importance	NOUN
ejpam-5562	87	5	of	of	ADP
ejpam-5562	87	6	considering	consider	VERB
ejpam-5562	87	7	delays	delay	NOUN
ejpam-5562	87	8	in	in	ADP
ejpam-5562	87	9	understanding	understand	VERB
ejpam-5562	87	10	tumor	tumor	NOUN
ejpam-5562	87	11	immune	immune	ADJ
ejpam-5562	87	12	interactions	interaction	NOUN
ejpam-5562	87	13	and	and	CCONJ
ejpam-5562	87	14	treatment	treatment	NOUN
ejpam-5562	87	15	outcomes	outcome	NOUN
ejpam-5562	87	16	.	.	PUNCT
ejpam-5562	88	1	nelson	nelson	PROPN
ejpam-5562	88	2	and	and	CCONJ
ejpam-5562	88	3	perelson	perelson	PROPN
ejpam-5562	88	4	[	[	X
ejpam-5562	88	5	27	27	NUM
ejpam-5562	88	6	]	]	PUNCT
ejpam-5562	88	7	examined	examine	VERB
ejpam-5562	88	8	hiv	hiv	PROPN
ejpam-5562	89	1	i	i	PRON
ejpam-5562	89	2	infection	infection	NOUN
ejpam-5562	89	3	models	model	NOUN
ejpam-5562	89	4	with	with	ADP
ejpam-5562	89	5	intracellular	intracellular	ADJ
ejpam-5562	89	6	delays	delay	NOUN
ejpam-5562	89	7	.	.	PUNCT
ejpam-5562	90	1	their	their	PRON
ejpam-5562	90	2	findings	finding	NOUN
ejpam-5562	90	3	show	show	VERB
ejpam-5562	90	4	that	that	SCONJ
ejpam-5562	90	5	incorporating	incorporate	VERB
ejpam-5562	90	6	delays	delay	NOUN
ejpam-5562	90	7	alters	alter	VERB
ejpam-5562	90	8	the	the	DET
ejpam-5562	90	9	kinetic	kinetic	ADJ
ejpam-5562	90	10	parameters	parameter	NOUN
ejpam-5562	90	11	of	of	ADP
ejpam-5562	90	12	the	the	DET
ejpam-5562	90	13	system	system	NOUN
ejpam-5562	90	14	,	,	PUNCT
ejpam-5562	90	15	particularly	particularly	ADV
ejpam-5562	90	16	the	the	DET
ejpam-5562	90	17	loss	loss	NOUN
ejpam-5562	90	18	rate	rate	NOUN
ejpam-5562	90	19	of	of	ADP
ejpam-5562	90	20	infected	infected	ADJ
ejpam-5562	90	21	t	t	NOUN
ejpam-5562	90	22	cells	cell	NOUN
ejpam-5562	90	23	.	.	PUNCT
ejpam-5562	91	1	the	the	DET
ejpam-5562	91	2	study	study	NOUN
ejpam-5562	91	3	provides	provide	VERB
ejpam-5562	91	4	a	a	DET
ejpam-5562	91	5	mathematical	mathematical	ADJ
ejpam-5562	91	6	framework	framework	NOUN
ejpam-5562	91	7	to	to	PART
ejpam-5562	91	8	understand	understand	VERB
ejpam-5562	91	9	the	the	DET
ejpam-5562	91	10	implications	implication	NOUN
ejpam-5562	91	11	of	of	ADP
ejpam-5562	91	12	imperfect	imperfect	ADJ
ejpam-5562	91	13	drug	drug	NOUN
ejpam-5562	91	14	efficacy	efficacy	NOUN
ejpam-5562	91	15	and	and	CCONJ
ejpam-5562	91	16	offers	offer	VERB
ejpam-5562	91	17	general	general	ADJ
ejpam-5562	91	18	stability	stability	NOUN
ejpam-5562	91	19	results	result	NOUN
ejpam-5562	91	20	for	for	ADP
ejpam-5562	91	21	nonlinear	nonlinear	ADJ
ejpam-5562	91	22	dde	dde	PROPN
ejpam-5562	91	23	infection	infection	NOUN
ejpam-5562	91	24	models	model	NOUN
ejpam-5562	91	25	.	.	PUNCT
ejpam-5562	92	1	several	several	ADJ
ejpam-5562	92	2	studies	study	NOUN
ejpam-5562	92	3	apply	apply	VERB
ejpam-5562	92	4	ddes	dde	NOUN
ejpam-5562	92	5	to	to	PART
ejpam-5562	92	6	understand	understand	VERB
ejpam-5562	92	7	the	the	DET
ejpam-5562	92	8	dynamics	dynamic	NOUN
ejpam-5562	92	9	of	of	ADP
ejpam-5562	92	10	parkinson	parkinson	NOUN
ejpam-5562	92	11	’s	’s	PART
ejpam-5562	92	12	disease	disease	NOUN
ejpam-5562	92	13	.	.	PUNCT
ejpam-5562	93	1	lainscsek	lainscsek	VERB
ejpam-5562	93	2	[	[	X
ejpam-5562	93	3	28	28	NUM
ejpam-5562	93	4	]	]	PUNCT
ejpam-5562	93	5	use	use	VERB
ejpam-5562	93	6	nonlinear	nonlinear	ADJ
ejpam-5562	93	7	delay	delay	NOUN
ejpam-5562	93	8	differential	differential	NOUN
ejpam-5562	93	9	equations	equation	NOUN
ejpam-5562	93	10	to	to	PART
ejpam-5562	93	11	rate	rate	VERB
ejpam-5562	93	12	finger	finger	NOUN
ejpam-5562	93	13	tapping	tap	VERB
ejpam-5562	93	14	movements	movement	NOUN
ejpam-5562	93	15	in	in	ADP
ejpam-5562	93	16	parkinson	parkinson	NOUN
ejpam-5562	93	17	’s	’s	PART
ejpam-5562	93	18	patients	patient	NOUN
ejpam-5562	93	19	,	,	PUNCT
ejpam-5562	93	20	providing	provide	VERB
ejpam-5562	93	21	a	a	DET
ejpam-5562	93	22	more	more	ADV
ejpam-5562	93	23	objective	objective	ADJ
ejpam-5562	93	24	assessment	assessment	NOUN
ejpam-5562	93	25	of	of	ADP
ejpam-5562	93	26	disease	disease	NOUN
ejpam-5562	93	27	progression	progression	NOUN
ejpam-5562	93	28	.	.	PUNCT
ejpam-5562	94	1	additionally	additionally	ADV
ejpam-5562	94	2	,	,	PUNCT
ejpam-5562	94	3	bocharov	bocharov	ADJ
ejpam-5562	94	4	and	and	CCONJ
ejpam-5562	94	5	rihan	rihan	NOUN
ejpam-5562	94	6	[	[	X
ejpam-5562	94	7	29	29	NUM
ejpam-5562	94	8	]	]	PUNCT
ejpam-5562	94	9	explore	explore	VERB
ejpam-5562	94	10	the	the	DET
ejpam-5562	94	11	use	use	NOUN
ejpam-5562	94	12	of	of	ADP
ejpam-5562	94	13	ddes	dde	NOUN
ejpam-5562	94	14	in	in	ADP
ejpam-5562	94	15	biosciences	bioscience	NOUN
ejpam-5562	94	16	,	,	PUNCT
ejpam-5562	94	17	including	include	VERB
ejpam-5562	94	18	models	model	NOUN
ejpam-5562	94	19	of	of	ADP
ejpam-5562	94	20	neural	neural	ADJ
ejpam-5562	94	21	networks	network	NOUN
ejpam-5562	94	22	,	,	PUNCT
ejpam-5562	94	23	which	which	PRON
ejpam-5562	94	24	have	have	VERB
ejpam-5562	94	25	implications	implication	NOUN
ejpam-5562	94	26	for	for	ADP
ejpam-5562	94	27	understanding	understand	VERB
ejpam-5562	94	28	diseases	disease	NOUN
ejpam-5562	94	29	like	like	ADP
ejpam-5562	94	30	parkinson	parkinson	NOUN
ejpam-5562	94	31	’s	’s	PART
ejpam-5562	94	32	.	.	PUNCT
ejpam-5562	95	1	braatz	braatz	PROPN
ejpam-5562	95	2	and	and	CCONJ
ejpam-5562	95	3	coleman	coleman	PROPN
ejpam-5562	96	1	[	[	X
ejpam-5562	96	2	30	30	NUM
ejpam-5562	96	3	]	]	X
ejpam-5562	96	4	propose	propose	VERB
ejpam-5562	96	5	a	a	DET
ejpam-5562	96	6	mathematical	mathematical	ADJ
ejpam-5562	96	7	model	model	NOUN
ejpam-5562	96	8	for	for	ADP
ejpam-5562	96	9	insulin	insulin	NOUN
ejpam-5562	96	10	resistance	resistance	NOUN
ejpam-5562	96	11	in	in	ADP
ejpam-5562	96	12	parkinson	parkinson	NOUN
ejpam-5562	96	13	’s	’s	PART
ejpam-5562	96	14	disease	disease	NOUN
ejpam-5562	96	15	,	,	PUNCT
ejpam-5562	96	16	using	use	VERB
ejpam-5562	96	17	biochemical	biochemical	ADJ
ejpam-5562	96	18	systems	system	NOUN
ejpam-5562	96	19	theory	theory	NOUN
ejpam-5562	96	20	(	(	PUNCT
ejpam-5562	96	21	bst	bst	PROPN
ejpam-5562	96	22	)	)	PUNCT
ejpam-5562	96	23	and	and	CCONJ
ejpam-5562	96	24	matlab	matlab	PROPN
ejpam-5562	96	25	for	for	ADP
ejpam-5562	96	26	more	more	ADV
ejpam-5562	96	27	flexible	flexible	ADJ
ejpam-5562	96	28	simulations	simulation	NOUN
ejpam-5562	96	29	.	.	PUNCT
ejpam-5562	97	1	their	their	PRON
ejpam-5562	97	2	model	model	NOUN
ejpam-5562	97	3	emphasizes	emphasize	VERB
ejpam-5562	97	4	the	the	DET
ejpam-5562	97	5	importance	importance	NOUN
ejpam-5562	97	6	of	of	ADP
ejpam-5562	97	7	early	early	ADJ
ejpam-5562	97	8	diagnosis	diagnosis	NOUN
ejpam-5562	97	9	and	and	CCONJ
ejpam-5562	97	10	treatment	treatment	NOUN
ejpam-5562	97	11	.	.	PUNCT
ejpam-5562	98	1	torelli	torelli	PROPN
ejpam-5562	99	1	[	[	X
ejpam-5562	99	2	31	31	NUM
ejpam-5562	99	3	]	]	PUNCT
ejpam-5562	99	4	addresses	address	VERB
ejpam-5562	99	5	the	the	DET
ejpam-5562	99	6	stability	stability	NOUN
ejpam-5562	99	7	of	of	ADP
ejpam-5562	99	8	numerical	numerical	ADJ
ejpam-5562	99	9	methods	method	NOUN
ejpam-5562	99	10	for	for	ADP
ejpam-5562	99	11	ddes	dde	NOUN
ejpam-5562	99	12	,	,	PUNCT
ejpam-5562	99	13	focusing	focus	VERB
ejpam-5562	99	14	on	on	ADP
ejpam-5562	99	15	the	the	DET
ejpam-5562	99	16	backward	backward	PROPN
ejpam-5562	99	17	euler	euler	NOUN
ejpam-5562	99	18	method	method	NOUN
ejpam-5562	99	19	.	.	PUNCT
ejpam-5562	100	1	this	this	DET
ejpam-5562	100	2	work	work	NOUN
ejpam-5562	100	3	is	be	AUX
ejpam-5562	100	4	critical	critical	ADJ
ejpam-5562	100	5	in	in	ADP
ejpam-5562	100	6	ensuring	ensure	VERB
ejpam-5562	100	7	that	that	SCONJ
ejpam-5562	100	8	numerical	numerical	ADJ
ejpam-5562	100	9	simulations	simulation	NOUN
ejpam-5562	100	10	of	of	ADP
ejpam-5562	100	11	ddes	dde	NOUN
ejpam-5562	100	12	yield	yield	VERB
ejpam-5562	100	13	reliable	reliable	ADJ
ejpam-5562	100	14	results	result	NOUN
ejpam-5562	100	15	.	.	PUNCT
ejpam-5562	101	1	gopalsamy	gopalsamy	NOUN
ejpam-5562	101	2	and	and	CCONJ
ejpam-5562	101	3	zhang	zhang	PROPN
ejpam-5562	102	1	[	[	X
ejpam-5562	102	2	32	32	NUM
ejpam-5562	102	3	]	]	PUNCT
ejpam-5562	102	4	study	study	VERB
ejpam-5562	102	5	the	the	DET
ejpam-5562	102	6	stability	stability	NOUN
ejpam-5562	102	7	of	of	ADP
ejpam-5562	102	8	impulsively	impulsively	ADV
ejpam-5562	102	9	perturbed	perturb	VERB
ejpam-5562	102	10	ddes	dde	NOUN
ejpam-5562	102	11	,	,	PUNCT
ejpam-5562	102	12	providing	provide	VERB
ejpam-5562	102	13	sufficient	sufficient	ADJ
ejpam-5562	102	14	conditions	condition	NOUN
ejpam-5562	102	15	for	for	ADP
ejpam-5562	102	16	asymptotic	asymptotic	ADJ
ejpam-5562	102	17	stability	stability	NOUN
ejpam-5562	102	18	and	and	CCONJ
ejpam-5562	102	19	oscillatory	oscillatory	ADJ
ejpam-5562	102	20	behavior	behavior	NOUN
ejpam-5562	102	21	.	.	PUNCT
ejpam-5562	103	1	this	this	DET
ejpam-5562	103	2	research	research	NOUN
ejpam-5562	103	3	extends	extend	VERB
ejpam-5562	103	4	the	the	DET
ejpam-5562	103	5	understanding	understanding	NOUN
ejpam-5562	103	6	of	of	ADP
ejpam-5562	103	7	nonlinear	nonlinear	ADJ
ejpam-5562	103	8	dynamics	dynamic	NOUN
ejpam-5562	103	9	in	in	ADP
ejpam-5562	103	10	systems	system	NOUN
ejpam-5562	103	11	with	with	ADP
ejpam-5562	103	12	both	both	DET
ejpam-5562	103	13	delays	delay	NOUN
ejpam-5562	103	14	and	and	CCONJ
ejpam-5562	103	15	impulses	impulse	NOUN
ejpam-5562	103	16	.	.	PUNCT
ejpam-5562	104	1	wolfrum	wolfrum	NOUN
ejpam-5562	105	1	[	[	X
ejpam-5562	105	2	33	33	NUM
ejpam-5562	105	3	]	]	PUNCT
ejpam-5562	105	4	explore	explore	VERB
ejpam-5562	105	5	ddes	dde	NOUN
ejpam-5562	105	6	with	with	ADP
ejpam-5562	105	7	large	large	ADJ
ejpam-5562	105	8	delays	delay	NOUN
ejpam-5562	105	9	,	,	PUNCT
ejpam-5562	105	10	introducing	introduce	VERB
ejpam-5562	105	11	novel	novel	ADJ
ejpam-5562	105	12	approaches	approach	NOUN
ejpam-5562	105	13	to	to	ADP
ejpam-5562	105	14	stability	stability	NOUN
ejpam-5562	105	15	analysis	analysis	NOUN
ejpam-5562	105	16	.	.	PUNCT
ejpam-5562	106	1	their	their	PRON
ejpam-5562	106	2	work	work	NOUN
ejpam-5562	106	3	on	on	ADP
ejpam-5562	106	4	strong	strong	ADJ
ejpam-5562	106	5	and	and	CCONJ
ejpam-5562	106	6	weak	weak	ADJ
ejpam-5562	106	7	instabilities	instability	NOUN
ejpam-5562	106	8	offers	offer	VERB
ejpam-5562	106	9	insights	insight	NOUN
ejpam-5562	106	10	into	into	ADP
ejpam-5562	106	11	the	the	DET
ejpam-5562	106	12	complex	complex	ADJ
ejpam-5562	106	13	dynamics	dynamic	NOUN
ejpam-5562	106	14	of	of	ADP
ejpam-5562	106	15	delay	delay	NOUN
ejpam-5562	106	16	systems	system	NOUN
ejpam-5562	106	17	,	,	PUNCT
ejpam-5562	106	18	including	include	VERB
ejpam-5562	106	19	control	control	NOUN
ejpam-5562	106	20	systems	system	NOUN
ejpam-5562	106	21	and	and	CCONJ
ejpam-5562	106	22	semiconductor	semiconductor	NOUN
ejpam-5562	106	23	lasers	laser	NOUN
ejpam-5562	106	24	.	.	PUNCT
ejpam-5562	107	1	lin	lin	PROPN
ejpam-5562	107	2	and	and	CCONJ
ejpam-5562	107	3	wang	wang	PROPN
ejpam-5562	108	1	[	[	X
ejpam-5562	108	2	34	34	NUM
ejpam-5562	108	3	]	]	PUNCT
ejpam-5562	108	4	and	and	CCONJ
ejpam-5562	108	5	li	li	X
ejpam-5562	109	1	[	[	X
ejpam-5562	109	2	35	35	NUM
ejpam-5562	109	3	]	]	PUNCT
ejpam-5562	109	4	investigate	investigate	VERB
ejpam-5562	109	5	systems	system	NOUN
ejpam-5562	109	6	with	with	ADP
ejpam-5562	109	7	multiple	multiple	ADJ
ejpam-5562	109	8	discrete	discrete	ADJ
ejpam-5562	109	9	delays	delay	NOUN
ejpam-5562	109	10	.	.	PUNCT
ejpam-5562	110	1	these	these	DET
ejpam-5562	110	2	studies	study	NOUN
ejpam-5562	110	3	contribute	contribute	VERB
ejpam-5562	110	4	to	to	ADP
ejpam-5562	110	5	understanding	understand	VERB
ejpam-5562	110	6	how	how	SCONJ
ejpam-5562	110	7	multiple	multiple	ADJ
ejpam-5562	110	8	delays	delay	NOUN
ejpam-5562	110	9	interact	interact	VERB
ejpam-5562	110	10	to	to	PART
ejpam-5562	110	11	influence	influence	VERB
ejpam-5562	110	12	the	the	DET
ejpam-5562	110	13	stability	stability	NOUN
ejpam-5562	110	14	and	and	CCONJ
ejpam-5562	110	15	bifurcation	bifurcation	NOUN
ejpam-5562	110	16	of	of	ADP
ejpam-5562	110	17	solutions	solution	NOUN
ejpam-5562	110	18	,	,	PUNCT
ejpam-5562	110	19	with	with	ADP
ejpam-5562	110	20	applications	application	NOUN
ejpam-5562	110	21	ranging	range	VERB
ejpam-5562	110	22	from	from	ADP
ejpam-5562	110	23	motor	motor	NOUN
ejpam-5562	110	24	control	control	NOUN
ejpam-5562	110	25	to	to	ADP
ejpam-5562	110	26	biological	biological	ADJ
ejpam-5562	110	27	systems	system	NOUN
ejpam-5562	110	28	.	.	PUNCT
ejpam-5562	111	1	yan	yan	PROPN
ejpam-5562	111	2	and	and	CCONJ
ejpam-5562	111	3	zhao	zhao	PROPN
ejpam-5562	112	1	[	[	X
ejpam-5562	112	2	36	36	NUM
ejpam-5562	112	3	]	]	PUNCT
ejpam-5562	112	4	discuss	discuss	VERB
ejpam-5562	112	5	the	the	DET
ejpam-5562	112	6	oscillation	oscillation	NOUN
ejpam-5562	112	7	and	and	CCONJ
ejpam-5562	112	8	stability	stability	NOUN
ejpam-5562	112	9	of	of	ADP
ejpam-5562	112	10	linear	linear	ADJ
ejpam-5562	112	11	impulsive	impulsive	ADJ
ejpam-5562	112	12	ddes	dde	NOUN
ejpam-5562	112	13	,	,	PUNCT
ejpam-5562	112	14	finding	find	VERB
ejpam-5562	112	15	that	that	SCONJ
ejpam-5562	112	16	these	these	DET
ejpam-5562	112	17	properties	property	NOUN
ejpam-5562	112	18	are	be	AUX
ejpam-5562	112	19	equivalent	equivalent	ADJ
ejpam-5562	112	20	to	to	ADP
ejpam-5562	112	21	those	those	PRON
ejpam-5562	112	22	of	of	ADP
ejpam-5562	112	23	corresponding	correspond	VERB
ejpam-5562	112	24	non	non	ADJ
ejpam-5562	112	25	impulsive	impulsive	ADJ
ejpam-5562	112	26	ddes	dde	NOUN
ejpam-5562	112	27	.	.	PUNCT
ejpam-5562	113	1	their	their	PRON
ejpam-5562	113	2	results	result	NOUN
ejpam-5562	113	3	can	can	AUX
ejpam-5562	113	4	enhance	enhance	VERB
ejpam-5562	113	5	the	the	DET
ejpam-5562	113	6	stability	stability	NOUN
ejpam-5562	113	7	analysis	analysis	NOUN
ejpam-5562	113	8	of	of	ADP
ejpam-5562	113	9	systems	system	NOUN
ejpam-5562	113	10	with	with	ADP
ejpam-5562	113	11	sudden	sudden	ADJ
ejpam-5562	113	12	changes	change	NOUN
ejpam-5562	113	13	.	.	PUNCT
ejpam-5562	114	1	enright	enright	PROPN
ejpam-5562	114	2	and	and	CCONJ
ejpam-5562	114	3	hayashi	hayashi	PROPN
ejpam-5562	115	1	[	[	X
ejpam-5562	115	2	37	37	NUM
ejpam-5562	115	3	]	]	PUNCT
ejpam-5562	115	4	develop	develop	VERB
ejpam-5562	115	5	a	a	DET
ejpam-5562	115	6	solver	solver	NOUN
ejpam-5562	115	7	for	for	ADP
ejpam-5562	115	8	neutral	neutral	ADJ
ejpam-5562	115	9	ddes	dde	NOUN
ejpam-5562	115	10	based	base	VERB
ejpam-5562	115	11	on	on	ADP
ejpam-5562	115	12	a	a	DET
ejpam-5562	115	13	continuous	continuous	ADJ
ejpam-5562	115	14	runge	runge	NOUN
ejpam-5562	115	15	kutta	kutta	NOUN
ejpam-5562	115	16	method	method	NOUN
ejpam-5562	115	17	with	with	ADP
ejpam-5562	115	18	defect	defect	NOUN
ejpam-5562	115	19	control	control	NOUN
ejpam-5562	115	20	.	.	PUNCT
ejpam-5562	116	1	their	their	PRON
ejpam-5562	116	2	ddverk	ddverk	ADJ
ejpam-5562	116	3	algorithm	algorithm	NOUN
ejpam-5562	116	4	ensures	ensure	VERB
ejpam-5562	116	5	accurate	accurate	ADJ
ejpam-5562	116	6	error	error	NOUN
ejpam-5562	116	7	and	and	CCONJ
ejpam-5562	116	8	step	step	NOUN
ejpam-5562	116	9	size	size	NOUN
ejpam-5562	116	10	control	control	NOUN
ejpam-5562	116	11	,	,	PUNCT
ejpam-5562	116	12	offering	offer	VERB
ejpam-5562	116	13	a	a	DET
ejpam-5562	116	14	robust	robust	ADJ
ejpam-5562	116	15	tool	tool	NOUN
ejpam-5562	116	16	for	for	ADP
ejpam-5562	116	17	solving	solve	VERB
ejpam-5562	116	18	ddes	dde	NOUN
ejpam-5562	116	19	numerically	numerically	ADV
ejpam-5562	116	20	.	.	PUNCT
ejpam-5562	117	1	keane	keane	PROPN
ejpam-5562	118	1	[	[	X
ejpam-5562	118	2	38	38	NUM
ejpam-5562	118	3	]	]	PUNCT
ejpam-5562	118	4	review	review	VERB
ejpam-5562	118	5	the	the	DET
ejpam-5562	118	6	use	use	NOUN
ejpam-5562	118	7	of	of	ADP
ejpam-5562	118	8	ddes	dde	NOUN
ejpam-5562	118	9	in	in	ADP
ejpam-5562	118	10	climate	climate	NOUN
ejpam-5562	118	11	models	model	NOUN
ejpam-5562	118	12	,	,	PUNCT
ejpam-5562	118	13	focusing	focus	VERB
ejpam-5562	118	14	on	on	ADP
ejpam-5562	118	15	delayed	delay	VERB
ejpam-5562	118	16	feedback	feedback	NOUN
ejpam-5562	118	17	loops	loop	NOUN
ejpam-5562	118	18	in	in	ADP
ejpam-5562	118	19	global	global	ADJ
ejpam-5562	118	20	energy	energy	NOUN
ejpam-5562	118	21	balance	balance	NOUN
ejpam-5562	118	22	and	and	CCONJ
ejpam-5562	118	23	the	the	DET
ejpam-5562	118	24	el	el	PROPN
ejpam-5562	118	25	niño	niño	PROPN
ejpam-5562	118	26	southern	southern	ADJ
ejpam-5562	118	27	oscillation	oscillation	NOUN
ejpam-5562	118	28	(	(	PUNCT
ejpam-5562	118	29	enso	enso	PROPN
ejpam-5562	118	30	)	)	PUNCT
ejpam-5562	118	31	system	system	NOUN
ejpam-5562	118	32	.	.	PUNCT
ejpam-5562	119	1	their	their	PRON
ejpam-5562	119	2	study	study	NOUN
ejpam-5562	119	3	g.	g.	NOUN
ejpam-5562	119	4	veerabathiran	veerabathiran	PROPN
ejpam-5562	119	5	,	,	PUNCT
ejpam-5562	119	6	g.	g.	PROPN
ejpam-5562	119	7	j.	j.	PROPN
ejpam-5562	119	8	kumar	kumar	PROPN
ejpam-5562	119	9	,	,	PUNCT
ejpam-5562	119	10	s.	s.	PROPN
ejpam-5562	119	11	donganont	donganont	PROPN
ejpam-5562	119	12	/	/	SYM
ejpam-5562	119	13	eur	eur	PROPN
ejpam-5562	119	14	.	.	PUNCT
ejpam-5562	120	1	j.	j.	PROPN
ejpam-5562	120	2	pure	pure	PROPN
ejpam-5562	120	3	appl	appl	PROPN
ejpam-5562	120	4	.	.	PROPN
ejpam-5562	120	5	math	math	PROPN
ejpam-5562	120	6	,	,	PUNCT
ejpam-5562	120	7	18	18	NUM
ejpam-5562	120	8	(	(	PUNCT
ejpam-5562	120	9	2	2	NUM
ejpam-5562	120	10	)	)	PUNCT
ejpam-5562	120	11	(	(	PUNCT
ejpam-5562	120	12	2025	2025	NUM
ejpam-5562	120	13	)	)	PUNCT
ejpam-5562	120	14	,	,	PUNCT
ejpam-5562	120	15	5562	5562	NUM
ejpam-5562	120	16	5	5	NUM
ejpam-5562	120	17	of	of	ADP
ejpam-5562	120	18	20	20	NUM
ejpam-5562	120	19	demonstrates	demonstrate	NOUN
ejpam-5562	120	20	that	that	SCONJ
ejpam-5562	120	21	ddes	dde	NOUN
ejpam-5562	120	22	can	can	AUX
ejpam-5562	120	23	capture	capture	VERB
ejpam-5562	120	24	complex	complex	ADJ
ejpam-5562	120	25	climate	climate	NOUN
ejpam-5562	120	26	dynamics	dynamic	NOUN
ejpam-5562	120	27	with	with	ADP
ejpam-5562	120	28	relatively	relatively	ADV
ejpam-5562	120	29	simple	simple	ADJ
ejpam-5562	120	30	models	model	NOUN
ejpam-5562	120	31	,	,	PUNCT
ejpam-5562	120	32	offering	offer	VERB
ejpam-5562	120	33	insights	insight	NOUN
ejpam-5562	120	34	into	into	ADP
ejpam-5562	120	35	the	the	DET
ejpam-5562	120	36	predictability	predictability	NOUN
ejpam-5562	120	37	of	of	ADP
ejpam-5562	120	38	climate	climate	NOUN
ejpam-5562	120	39	phenomena	phenomenon	NOUN
ejpam-5562	120	40	.	.	PUNCT
ejpam-5562	121	1	the	the	DET
ejpam-5562	121	2	reviewed	review	VERB
ejpam-5562	121	3	literature	literature	NOUN
ejpam-5562	121	4	underscores	underscore	VERB
ejpam-5562	121	5	the	the	DET
ejpam-5562	121	6	versatility	versatility	NOUN
ejpam-5562	121	7	and	and	CCONJ
ejpam-5562	121	8	efficacy	efficacy	NOUN
ejpam-5562	121	9	of	of	ADP
ejpam-5562	121	10	the	the	DET
ejpam-5562	121	11	laplace	laplace	NOUN
ejpam-5562	121	12	transform	transform	NOUN
ejpam-5562	121	13	method	method	NOUN
ejpam-5562	121	14	in	in	ADP
ejpam-5562	121	15	solving	solve	VERB
ejpam-5562	121	16	a	a	DET
ejpam-5562	121	17	wide	wide	ADJ
ejpam-5562	121	18	range	range	NOUN
ejpam-5562	121	19	of	of	ADP
ejpam-5562	121	20	delay	delay	NOUN
ejpam-5562	121	21	differential	differential	ADJ
ejpam-5562	121	22	equations	equation	NOUN
ejpam-5562	121	23	.	.	PUNCT
ejpam-5562	122	1	from	from	ADP
ejpam-5562	122	2	theoretical	theoretical	ADJ
ejpam-5562	122	3	advancements	advancement	NOUN
ejpam-5562	122	4	and	and	CCONJ
ejpam-5562	122	5	stability	stability	NOUN
ejpam-5562	122	6	analysis	analysis	NOUN
ejpam-5562	122	7	to	to	ADP
ejpam-5562	122	8	practical	practical	ADJ
ejpam-5562	122	9	applications	application	NOUN
ejpam-5562	122	10	in	in	ADP
ejpam-5562	122	11	biology	biology	NOUN
ejpam-5562	122	12	,	,	PUNCT
ejpam-5562	122	13	medicine	medicine	NOUN
ejpam-5562	122	14	,	,	PUNCT
ejpam-5562	122	15	and	and	CCONJ
ejpam-5562	122	16	economics	economic	NOUN
ejpam-5562	122	17	,	,	PUNCT
ejpam-5562	122	18	the	the	DET
ejpam-5562	122	19	laplace	laplace	NOUN
ejpam-5562	122	20	transform	transform	NOUN
ejpam-5562	122	21	continues	continue	VERB
ejpam-5562	122	22	to	to	PART
ejpam-5562	122	23	be	be	AUX
ejpam-5562	122	24	a	a	DET
ejpam-5562	122	25	critical	critical	ADJ
ejpam-5562	122	26	tool	tool	NOUN
ejpam-5562	122	27	in	in	ADP
ejpam-5562	122	28	the	the	DET
ejpam-5562	122	29	mathematical	mathematical	ADJ
ejpam-5562	122	30	tool	tool	NOUN
ejpam-5562	122	31	kit	kit	NOUN
ejpam-5562	122	32	for	for	ADP
ejpam-5562	122	33	addressing	address	VERB
ejpam-5562	122	34	dynamic	dynamic	ADJ
ejpam-5562	122	35	systems	system	NOUN
ejpam-5562	122	36	with	with	ADP
ejpam-5562	122	37	delays	delay	NOUN
ejpam-5562	122	38	.	.	PUNCT
ejpam-5562	123	1	the	the	DET
ejpam-5562	123	2	comparative	comparative	ADJ
ejpam-5562	123	3	studies	study	NOUN
ejpam-5562	123	4	on	on	ADP
ejpam-5562	123	5	computational	computational	ADJ
ejpam-5562	123	6	tools	tool	NOUN
ejpam-5562	123	7	further	far	ADV
ejpam-5562	123	8	highlight	highlight	VERB
ejpam-5562	123	9	the	the	DET
ejpam-5562	123	10	importance	importance	NOUN
ejpam-5562	123	11	of	of	ADP
ejpam-5562	123	12	choosing	choose	VERB
ejpam-5562	123	13	appropriate	appropriate	ADJ
ejpam-5562	123	14	soft	soft	ADJ
ejpam-5562	123	15	ware	ware	NOUN
ejpam-5562	123	16	for	for	ADP
ejpam-5562	123	17	solving	solve	VERB
ejpam-5562	123	18	specific	specific	ADJ
ejpam-5562	123	19	types	type	NOUN
ejpam-5562	123	20	of	of	ADP
ejpam-5562	123	21	ddes	dde	NOUN
ejpam-5562	123	22	,	,	PUNCT
ejpam-5562	123	23	ensuring	ensure	VERB
ejpam-5562	123	24	accuracy	accuracy	NOUN
ejpam-5562	123	25	and	and	CCONJ
ejpam-5562	123	26	efficiency	efficiency	NOUN
ejpam-5562	123	27	in	in	ADP
ejpam-5562	123	28	obtaining	obtain	VERB
ejpam-5562	123	29	solutions	solution	NOUN
ejpam-5562	123	30	.	.	PUNCT
ejpam-5562	124	1	in	in	ADP
ejpam-5562	124	2	this	this	DET
ejpam-5562	124	3	paper	paper	NOUN
ejpam-5562	124	4	,	,	PUNCT
ejpam-5562	124	5	we	we	PRON
ejpam-5562	124	6	investigate	investigate	VERB
ejpam-5562	124	7	the	the	DET
ejpam-5562	124	8	analytical	analytical	ADJ
ejpam-5562	124	9	solution	solution	NOUN
ejpam-5562	124	10	of	of	ADP
ejpam-5562	124	11	the	the	DET
ejpam-5562	124	12	multi	multi	ADJ
ejpam-5562	124	13	dde	dde	PROPN
ejpam-5562	124	14	ψ′(t)−	ψ′(t)−	PROPN
ejpam-5562	124	15	aψ(t)−	aψ(t)−	PROPN
ejpam-5562	124	16	bψ(t−	bψ(t−	PROPN
ejpam-5562	125	1	τ1)−	τ1)−	NOUN
ejpam-5562	125	2	cψ(t−	cψ(t−	NOUN
ejpam-5562	125	3	τ2	τ2	NOUN
ejpam-5562	125	4	)	)	PUNCT
ejpam-5562	125	5	=	=	SYM
ejpam-5562	125	6	g(t	g(t	PROPN
ejpam-5562	125	7	)	)	PUNCT
ejpam-5562	125	8	,	,	PUNCT
ejpam-5562	125	9	t	t	X
ejpam-5562	125	10	>	>	X
ejpam-5562	125	11	0	0	NUM
ejpam-5562	125	12	,	,	PUNCT
ejpam-5562	125	13	(	(	PUNCT
ejpam-5562	125	14	1	1	X
ejpam-5562	125	15	)	)	PUNCT
ejpam-5562	125	16	ψ(t	ψ(t	PROPN
ejpam-5562	125	17	)	)	PUNCT
ejpam-5562	125	18	=	=	SYM
ejpam-5562	125	19	ϕ(t	ϕ(t	NUM
ejpam-5562	125	20	)	)	PUNCT
ejpam-5562	125	21	,	,	PUNCT
ejpam-5562	125	22	t	t	VERB
ejpam-5562	125	23	≤	≤	NUM
ejpam-5562	125	24	0	0	PUNCT
ejpam-5562	126	1	(	(	PUNCT
ejpam-5562	126	2	2	2	NUM
ejpam-5562	126	3	)	)	PUNCT
ejpam-5562	126	4	and	and	CCONJ
ejpam-5562	126	5	using	use	VERB
ejpam-5562	126	6	laplace	laplace	NOUN
ejpam-5562	126	7	transform	transform	NOUN
ejpam-5562	126	8	method	method	NOUN
ejpam-5562	126	9	to	to	PART
ejpam-5562	126	10	solve	solve	VERB
ejpam-5562	126	11	parkinson	parkinson	NOUN
ejpam-5562	126	12	’s	’s	PART
ejpam-5562	126	13	disease	disease	NOUN
ejpam-5562	126	14	model	model	NOUN
ejpam-5562	126	15	ddes	dde	NOUN
ejpam-5562	126	16	.	.	PUNCT
ejpam-5562	127	1	2	2	X
ejpam-5562	127	2	.	.	X
ejpam-5562	127	3	parkinson	parkinson	NOUN
ejpam-5562	127	4	’s	’s	PART
ejpam-5562	127	5	disease	disease	NOUN
ejpam-5562	127	6	model	model	VERB
ejpam-5562	127	7	neurodegenerative	neurodegenerative	ADJ
ejpam-5562	127	8	disorder	disorder	NOUN
ejpam-5562	127	9	characterized	characterize	VERB
ejpam-5562	127	10	by	by	ADP
ejpam-5562	127	11	motor	motor	NOUN
ejpam-5562	127	12	symptoms	symptom	NOUN
ejpam-5562	127	13	such	such	ADJ
ejpam-5562	127	14	as	as	ADP
ejpam-5562	127	15	rigidity	rigidity	NOUN
ejpam-5562	127	16	,	,	PUNCT
ejpam-5562	127	17	tremor	tremor	NOUN
ejpam-5562	127	18	,	,	PUNCT
ejpam-5562	127	19	and	and	CCONJ
ejpam-5562	127	20	brady	brady	PROPN
ejpam-5562	127	21	kinesia	kinesia	PROPN
ejpam-5562	127	22	(	(	PUNCT
ejpam-5562	127	23	slowness	slowness	NOUN
ejpam-5562	127	24	of	of	ADP
ejpam-5562	127	25	movement	movement	NOUN
ejpam-5562	127	26	)	)	PUNCT
ejpam-5562	127	27	is	be	AUX
ejpam-5562	127	28	known	know	VERB
ejpam-5562	127	29	as	as	ADP
ejpam-5562	127	30	parkinson	parkinson	NOUN
ejpam-5562	127	31	’s	’s	PART
ejpam-5562	127	32	disease	disease	NOUN
ejpam-5562	127	33	(	(	PUNCT
ejpam-5562	127	34	pd	pd	NOUN
ejpam-5562	127	35	)	)	PUNCT
ejpam-5562	127	36	.	.	PUNCT
ejpam-5562	128	1	one	one	NUM
ejpam-5562	128	2	notable	notable	ADJ
ejpam-5562	128	3	impairment	impairment	NOUN
ejpam-5562	128	4	in	in	ADP
ejpam-5562	128	5	pd	pd	PROPN
ejpam-5562	128	6	is	be	AUX
ejpam-5562	128	7	the	the	DET
ejpam-5562	128	8	disruption	disruption	NOUN
ejpam-5562	128	9	of	of	ADP
ejpam-5562	128	10	the	the	DET
ejpam-5562	128	11	temporal	temporal	ADJ
ejpam-5562	128	12	structure	structure	NOUN
ejpam-5562	128	13	of	of	ADP
ejpam-5562	128	14	hand	hand	NOUN
ejpam-5562	128	15	movements	movement	NOUN
ejpam-5562	128	16	.	.	PUNCT
ejpam-5562	129	1	however	however	ADV
ejpam-5562	129	2	,	,	PUNCT
ejpam-5562	129	3	the	the	DET
ejpam-5562	129	4	specifics	specific	NOUN
ejpam-5562	129	5	of	of	ADP
ejpam-5562	129	6	these	these	DET
ejpam-5562	129	7	temporal	temporal	ADJ
ejpam-5562	129	8	distortions	distortion	NOUN
ejpam-5562	129	9	and	and	CCONJ
ejpam-5562	129	10	the	the	DET
ejpam-5562	129	11	impact	impact	NOUN
ejpam-5562	129	12	of	of	ADP
ejpam-5562	129	13	dopamine	dopamine	NOUN
ejpam-5562	129	14	replacement	replacement	NOUN
ejpam-5562	129	15	therapy	therapy	NOUN
ejpam-5562	129	16	on	on	ADP
ejpam-5562	129	17	them	they	PRON
ejpam-5562	129	18	remain	remain	VERB
ejpam-5562	129	19	largely	largely	ADV
ejpam-5562	129	20	unexplored	unexplored	ADJ
ejpam-5562	129	21	.	.	PUNCT
ejpam-5562	130	1	claudia	claudia	PROPN
ejpam-5562	130	2	lainscsek	lainscsek	VERB
ejpam-5562	131	1	[	[	X
ejpam-5562	131	2	39	39	NUM
ejpam-5562	131	3	]	]	PUNCT
ejpam-5562	131	4	investigated	investigate	VERB
ejpam-5562	131	5	the	the	DET
ejpam-5562	131	6	use	use	NOUN
ejpam-5562	131	7	of	of	ADP
ejpam-5562	131	8	nonlinear	nonlinear	ADJ
ejpam-5562	131	9	delay	delay	NOUN
ejpam-5562	131	10	differential	differential	NOUN
ejpam-5562	131	11	equations	equation	NOUN
ejpam-5562	131	12	(	(	PUNCT
ejpam-5562	131	13	ddes	ddes	PROPN
ejpam-5562	131	14	)	)	PUNCT
ejpam-5562	131	15	to	to	PART
ejpam-5562	131	16	analyze	analyze	VERB
ejpam-5562	131	17	the	the	DET
ejpam-5562	131	18	repetitive	repetitive	ADJ
ejpam-5562	131	19	finger	finger	NOUN
ejpam-5562	131	20	tapping	tap	VERB
ejpam-5562	131	21	movements	movement	NOUN
ejpam-5562	131	22	in	in	ADP
ejpam-5562	131	23	patients	patient	NOUN
ejpam-5562	131	24	with	with	ADP
ejpam-5562	131	25	pd	pd	PROPN
ejpam-5562	131	26	.	.	PUNCT
ejpam-5562	132	1	the	the	DET
ejpam-5562	132	2	study	study	NOUN
ejpam-5562	132	3	aims	aim	VERB
ejpam-5562	132	4	to	to	PART
ejpam-5562	132	5	distinguish	distinguish	VERB
ejpam-5562	132	6	the	the	DET
ejpam-5562	132	7	spatiotemporal	spatiotemporal	ADJ
ejpam-5562	132	8	distortions	distortion	NOUN
ejpam-5562	132	9	in	in	ADP
ejpam-5562	132	10	these	these	DET
ejpam-5562	132	11	movements	movement	NOUN
ejpam-5562	132	12	among	among	ADP
ejpam-5562	132	13	pd	pd	PROPN
ejpam-5562	132	14	patients	patient	NOUN
ejpam-5562	132	15	off	off	ADP
ejpam-5562	132	16	and	and	CCONJ
ejpam-5562	132	17	on	on	ADP
ejpam-5562	132	18	dopamine	dopamine	NOUN
ejpam-5562	132	19	replacement	replacement	NOUN
ejpam-5562	132	20	therapy	therapy	NOUN
ejpam-5562	132	21	and	and	CCONJ
ejpam-5562	132	22	compares	compare	VERB
ejpam-5562	132	23	these	these	DET
ejpam-5562	132	24	findings	finding	NOUN
ejpam-5562	132	25	to	to	ADP
ejpam-5562	132	26	age	age	NOUN
ejpam-5562	132	27	-	-	PUNCT
ejpam-5562	132	28	matched	match	VERB
ejpam-5562	132	29	control	control	NOUN
ejpam-5562	132	30	subjects	subject	NOUN
ejpam-5562	132	31	.	.	PUNCT
ejpam-5562	133	1	this	this	DET
ejpam-5562	133	2	method	method	NOUN
ejpam-5562	133	3	is	be	AUX
ejpam-5562	133	4	used	use	VERB
ejpam-5562	133	5	to	to	PART
ejpam-5562	133	6	understand	understand	VERB
ejpam-5562	133	7	and	and	CCONJ
ejpam-5562	133	8	model	model	VERB
ejpam-5562	133	9	the	the	DET
ejpam-5562	133	10	temporal	temporal	ADJ
ejpam-5562	133	11	evolution	evolution	NOUN
ejpam-5562	133	12	of	of	ADP
ejpam-5562	133	13	repetitive	repetitive	ADJ
ejpam-5562	133	14	hand	hand	NOUN
ejpam-5562	133	15	movements	movement	NOUN
ejpam-5562	133	16	in	in	ADP
ejpam-5562	133	17	patients	patient	NOUN
ejpam-5562	133	18	with	with	ADP
ejpam-5562	133	19	pd	pd	PROPN
ejpam-5562	133	20	.	.	PUNCT
ejpam-5562	133	21	to	to	PART
ejpam-5562	133	22	address	address	VERB
ejpam-5562	133	23	this	this	DET
ejpam-5562	133	24	gap	gap	NOUN
ejpam-5562	133	25	,	,	PUNCT
ejpam-5562	133	26	the	the	DET
ejpam-5562	133	27	authors	author	NOUN
ejpam-5562	133	28	applied	apply	VERB
ejpam-5562	133	29	nonlinear	nonlinear	ADJ
ejpam-5562	133	30	time	time	NOUN
ejpam-5562	133	31	series	series	PROPN
ejpam-5562	133	32	analysis	analysis	NOUN
ejpam-5562	133	33	techniques	technique	NOUN
ejpam-5562	133	34	,	,	PUNCT
ejpam-5562	133	35	particularly	particularly	ADV
ejpam-5562	133	36	focusing	focus	VERB
ejpam-5562	133	37	on	on	ADP
ejpam-5562	133	38	ddes	dde	NOUN
ejpam-5562	133	39	,	,	PUNCT
ejpam-5562	133	40	to	to	PART
ejpam-5562	133	41	examine	examine	VERB
ejpam-5562	133	42	the	the	DET
ejpam-5562	133	43	finger	finger	NOUN
ejpam-5562	133	44	tapping	tap	VERB
ejpam-5562	133	45	movements	movement	NOUN
ejpam-5562	133	46	of	of	ADP
ejpam-5562	133	47	pd	pd	NOUN
ejpam-5562	133	48	patients	patient	NOUN
ejpam-5562	133	49	.	.	PUNCT
ejpam-5562	134	1	this	this	DET
ejpam-5562	134	2	analysis	analysis	NOUN
ejpam-5562	134	3	aimed	aim	VERB
ejpam-5562	134	4	to	to	PART
ejpam-5562	134	5	uncover	uncover	VERB
ejpam-5562	134	6	the	the	DET
ejpam-5562	134	7	underlying	underlying	ADJ
ejpam-5562	134	8	dynamical	dynamical	ADJ
ejpam-5562	134	9	system	system	NOUN
ejpam-5562	134	10	’s	’s	PART
ejpam-5562	134	11	spectral	spectral	ADJ
ejpam-5562	134	12	and	and	CCONJ
ejpam-5562	134	13	topological	topological	ADJ
ejpam-5562	134	14	properties	property	NOUN
ejpam-5562	134	15	,	,	PUNCT
ejpam-5562	134	16	which	which	PRON
ejpam-5562	134	17	are	be	AUX
ejpam-5562	134	18	robust	robust	ADJ
ejpam-5562	134	19	against	against	ADP
ejpam-5562	134	20	noise	noise	NOUN
ejpam-5562	134	21	.	.	PUNCT
ejpam-5562	135	1	the	the	DET
ejpam-5562	135	2	methodology	methodology	NOUN
ejpam-5562	135	3	involved	involve	VERB
ejpam-5562	135	4	having	have	VERB
ejpam-5562	135	5	subjects	subject	NOUN
ejpam-5562	135	6	perform	perform	VERB
ejpam-5562	135	7	a	a	DET
ejpam-5562	135	8	finger	finger	NOUN
ejpam-5562	135	9	tapping	tap	VERB
ejpam-5562	135	10	task	task	NOUN
ejpam-5562	135	11	,	,	PUNCT
ejpam-5562	135	12	where	where	SCONJ
ejpam-5562	135	13	they	they	PRON
ejpam-5562	135	14	tapped	tap	VERB
ejpam-5562	135	15	their	their	PRON
ejpam-5562	135	16	right	right	ADJ
ejpam-5562	135	17	index	index	NOUN
ejpam-5562	135	18	finger	finger	NOUN
ejpam-5562	135	19	and	and	CCONJ
ejpam-5562	135	20	thumb	thumb	VERB
ejpam-5562	135	21	together	together	ADV
ejpam-5562	135	22	rapidly	rapidly	ADV
ejpam-5562	135	23	for	for	ADP
ejpam-5562	135	24	10	10	NUM
ejpam-5562	135	25	seconds	second	NOUN
ejpam-5562	135	26	,	,	PUNCT
ejpam-5562	135	27	repeated	repeat	VERB
ejpam-5562	135	28	three	three	NUM
ejpam-5562	135	29	times	time	NOUN
ejpam-5562	135	30	.	.	PUNCT
ejpam-5562	136	1	the	the	DET
ejpam-5562	136	2	movements	movement	NOUN
ejpam-5562	136	3	were	be	AUX
ejpam-5562	136	4	captured	capture	VERB
ejpam-5562	136	5	using	use	VERB
ejpam-5562	136	6	a	a	DET
ejpam-5562	136	7	12	12	NUM
ejpam-5562	136	8	camera	camera	NOUN
ejpam-5562	136	9	phase	phase	NOUN
ejpam-5562	136	10	space	space	NOUN
ejpam-5562	136	11	3d	3d	NOUN
ejpam-5562	136	12	motion	motion	NOUN
ejpam-5562	136	13	monitoring	monitoring	NOUN
ejpam-5562	136	14	system	system	NOUN
ejpam-5562	136	15	,	,	PUNCT
ejpam-5562	136	16	providing	provide	VERB
ejpam-5562	136	17	high	high	ADJ
ejpam-5562	136	18	frequency	frequency	NOUN
ejpam-5562	136	19	data	datum	NOUN
ejpam-5562	136	20	at	at	ADP
ejpam-5562	136	21	120	120	NUM
ejpam-5562	136	22	hz	hz	NOUN
ejpam-5562	136	23	.	.	PUNCT
ejpam-5562	137	1	this	this	DET
ejpam-5562	137	2	data	datum	NOUN
ejpam-5562	137	3	was	be	AUX
ejpam-5562	137	4	then	then	ADV
ejpam-5562	137	5	analyzed	analyze	VERB
ejpam-5562	137	6	using	use	VERB
ejpam-5562	137	7	ddes	dde	NOUN
ejpam-5562	137	8	to	to	PART
ejpam-5562	137	9	model	model	VERB
ejpam-5562	137	10	the	the	DET
ejpam-5562	137	11	temporal	temporal	ADJ
ejpam-5562	137	12	evolution	evolution	NOUN
ejpam-5562	137	13	of	of	ADP
ejpam-5562	137	14	the	the	DET
ejpam-5562	137	15	movements	movement	NOUN
ejpam-5562	137	16	.	.	PUNCT
ejpam-5562	138	1	in	in	ADP
ejpam-5562	138	2	the	the	DET
ejpam-5562	138	3	parkinson	parkinson	NOUN
ejpam-5562	138	4	’s	’s	PART
ejpam-5562	138	5	disease	disease	NOUN
ejpam-5562	138	6	model	model	NOUN
ejpam-5562	138	7	,	,	PUNCT
ejpam-5562	138	8	state	state	NOUN
ejpam-5562	138	9	variables	variable	NOUN
ejpam-5562	138	10	often	often	ADV
ejpam-5562	138	11	represent	represent	VERB
ejpam-5562	138	12	quantities	quantity	NOUN
ejpam-5562	138	13	central	central	ADJ
ejpam-5562	138	14	to	to	ADP
ejpam-5562	138	15	the	the	DET
ejpam-5562	138	16	disease	disease	NOUN
ejpam-5562	138	17	’s	’s	PART
ejpam-5562	138	18	progression	progression	NOUN
ejpam-5562	138	19	and	and	CCONJ
ejpam-5562	138	20	response	response	NOUN
ejpam-5562	138	21	to	to	ADP
ejpam-5562	138	22	medication	medication	NOUN
ejpam-5562	138	23	.	.	PUNCT
ejpam-5562	139	1	commonly	commonly	ADV
ejpam-5562	139	2	used	use	VERB
ejpam-5562	139	3	state	state	NOUN
ejpam-5562	139	4	variables	variable	NOUN
ejpam-5562	139	5	might	might	AUX
ejpam-5562	139	6	include	include	VERB
ejpam-5562	139	7	:	:	PUNCT
ejpam-5562	139	8	•	•	ADJ
ejpam-5562	139	9	dopamine	dopamine	NOUN
ejpam-5562	139	10	level	level	NOUN
ejpam-5562	139	11	:	:	PUNCT
ejpam-5562	139	12	this	this	DET
ejpam-5562	139	13	variable	variable	NOUN
ejpam-5562	139	14	indicates	indicate	VERB
ejpam-5562	139	15	dopamine	dopamine	NOUN
ejpam-5562	139	16	concentration	concentration	NOUN
ejpam-5562	139	17	,	,	PUNCT
ejpam-5562	139	18	which	which	PRON
ejpam-5562	139	19	is	be	AUX
ejpam-5562	139	20	crucial	crucial	ADJ
ejpam-5562	139	21	for	for	ADP
ejpam-5562	139	22	motor	motor	NOUN
ejpam-5562	139	23	control	control	NOUN
ejpam-5562	139	24	and	and	CCONJ
ejpam-5562	139	25	is	be	AUX
ejpam-5562	139	26	depleted	deplete	VERB
ejpam-5562	139	27	in	in	ADP
ejpam-5562	139	28	parkinson	parkinson	NOUN
ejpam-5562	139	29	’s	’s	PART
ejpam-5562	139	30	disease	disease	NOUN
ejpam-5562	139	31	.	.	PUNCT
ejpam-5562	140	1	g.	g.	PROPN
ejpam-5562	140	2	veerabathiran	veerabathiran	PROPN
ejpam-5562	140	3	,	,	PUNCT
ejpam-5562	140	4	g.	g.	PROPN
ejpam-5562	140	5	j.	j.	PROPN
ejpam-5562	140	6	kumar	kumar	PROPN
ejpam-5562	140	7	,	,	PUNCT
ejpam-5562	140	8	s.	s.	PROPN
ejpam-5562	140	9	donganont	donganont	PROPN
ejpam-5562	140	10	/	/	SYM
ejpam-5562	140	11	eur	eur	PROPN
ejpam-5562	140	12	.	.	PUNCT
ejpam-5562	141	1	j.	j.	PROPN
ejpam-5562	141	2	pure	pure	PROPN
ejpam-5562	141	3	appl	appl	PROPN
ejpam-5562	141	4	.	.	PROPN
ejpam-5562	141	5	math	math	PROPN
ejpam-5562	141	6	,	,	PUNCT
ejpam-5562	141	7	18	18	NUM
ejpam-5562	141	8	(	(	PUNCT
ejpam-5562	141	9	2	2	NUM
ejpam-5562	141	10	)	)	PUNCT
ejpam-5562	141	11	(	(	PUNCT
ejpam-5562	141	12	2025	2025	NUM
ejpam-5562	141	13	)	)	PUNCT
ejpam-5562	141	14	,	,	PUNCT
ejpam-5562	141	15	5562	5562	NUM
ejpam-5562	141	16	6	6	NUM
ejpam-5562	141	17	of	of	ADP
ejpam-5562	141	18	20	20	NUM
ejpam-5562	141	19	•	•	NOUN
ejpam-5562	141	20	motor	motor	NOUN
ejpam-5562	141	21	symptoms	symptom	NOUN
ejpam-5562	141	22	:	:	PUNCT
ejpam-5562	141	23	this	this	DET
ejpam-5562	141	24	variable	variable	NOUN
ejpam-5562	141	25	represents	represent	VERB
ejpam-5562	141	26	the	the	DET
ejpam-5562	141	27	severity	severity	NOUN
ejpam-5562	141	28	of	of	ADP
ejpam-5562	141	29	symptoms	symptom	NOUN
ejpam-5562	141	30	,	,	PUNCT
ejpam-5562	141	31	such	such	ADJ
ejpam-5562	141	32	as	as	ADP
ejpam-5562	141	33	tremor	tremor	NOUN
ejpam-5562	141	34	,	,	PUNCT
ejpam-5562	141	35	rigidity	rigidity	NOUN
ejpam-5562	141	36	,	,	PUNCT
ejpam-5562	141	37	or	or	CCONJ
ejpam-5562	141	38	bradykinesia	bradykinesia	PROPN
ejpam-5562	141	39	.	.	PROPN
ejpam-5562	142	1	•	•	NUM
ejpam-5562	142	2	medication	medication	NOUN
ejpam-5562	142	3	effectiveness	effectiveness	NOUN
ejpam-5562	142	4	:	:	PUNCT
ejpam-5562	142	5	this	this	DET
ejpam-5562	142	6	measures	measure	VERB
ejpam-5562	142	7	how	how	SCONJ
ejpam-5562	142	8	effective	effective	ADJ
ejpam-5562	142	9	the	the	DET
ejpam-5562	142	10	current	current	ADJ
ejpam-5562	142	11	medication	medication	NOUN
ejpam-5562	142	12	is	be	AUX
ejpam-5562	142	13	at	at	ADP
ejpam-5562	142	14	managing	manage	VERB
ejpam-5562	142	15	symptoms	symptom	NOUN
ejpam-5562	142	16	.	.	PUNCT
ejpam-5562	143	1	it	it	PRON
ejpam-5562	143	2	can	can	AUX
ejpam-5562	143	3	vary	vary	VERB
ejpam-5562	143	4	over	over	ADP
ejpam-5562	143	5	time	time	NOUN
ejpam-5562	143	6	due	due	ADP
ejpam-5562	143	7	to	to	ADP
ejpam-5562	143	8	dosing	dose	VERB
ejpam-5562	143	9	schedules	schedule	NOUN
ejpam-5562	143	10	and	and	CCONJ
ejpam-5562	143	11	fluctuating	fluctuate	VERB
ejpam-5562	143	12	responses	response	NOUN
ejpam-5562	143	13	,	,	PUNCT
ejpam-5562	143	14	known	know	VERB
ejpam-5562	143	15	as	as	ADP
ejpam-5562	143	16	“	"	PUNCT
ejpam-5562	143	17	on	on	ADP
ejpam-5562	143	18	”	"	PUNCT
ejpam-5562	143	19	an	an	DET
ejpam-5562	143	20	“	"	PUNCT
ejpam-5562	143	21	off	off	ADJ
ejpam-5562	143	22	”	"	PUNCT
ejpam-5562	143	23	periods	period	NOUN
ejpam-5562	143	24	.	.	PUNCT
ejpam-5562	144	1	the	the	DET
ejpam-5562	144	2	delay	delay	NOUN
ejpam-5562	144	3	differential	differential	ADJ
ejpam-5562	144	4	equation	equation	NOUN
ejpam-5562	144	5	of	of	ADP
ejpam-5562	144	6	parkinson	parkinson	NOUN
ejpam-5562	144	7	’s	’s	PART
ejpam-5562	144	8	disease	disease	NOUN
ejpam-5562	144	9	is	be	AUX
ejpam-5562	144	10	characterized	characterize	VERB
ejpam-5562	144	11	by	by	ADP
ejpam-5562	144	12	ψ̇	ψ̇	PROPN
ejpam-5562	144	13	=	=	SYM
ejpam-5562	144	14	c1ψ(t	c1ψ(t	PROPN
ejpam-5562	144	15	)	)	PUNCT
ejpam-5562	145	1	+	+	NUM
ejpam-5562	145	2	c2ψτ1	c2ψτ1	NOUN
ejpam-5562	145	3	+	+	CCONJ
ejpam-5562	145	4	c3ψτ2	c3ψτ2	ADJ
ejpam-5562	145	5	,	,	PUNCT
ejpam-5562	145	6	(	(	PUNCT
ejpam-5562	145	7	3	3	X
ejpam-5562	145	8	)	)	PUNCT
ejpam-5562	145	9	where	where	SCONJ
ejpam-5562	145	10	ψ(t	ψ(t	PROPN
ejpam-5562	145	11	)	)	PUNCT
ejpam-5562	145	12	is	be	AUX
ejpam-5562	145	13	the	the	DET
ejpam-5562	145	14	state	state	NOUN
ejpam-5562	145	15	variable	variable	NOUN
ejpam-5562	145	16	that	that	PRON
ejpam-5562	145	17	represents	represent	VERB
ejpam-5562	145	18	the	the	DET
ejpam-5562	145	19	system	system	NOUN
ejpam-5562	145	20	’s	’s	PART
ejpam-5562	145	21	behavior	behavior	NOUN
ejpam-5562	145	22	at	at	ADP
ejpam-5562	145	23	time	time	NOUN
ejpam-5562	145	24	t	t	PROPN
ejpam-5562	145	25	,	,	PUNCT
ejpam-5562	145	26	c1	c1	PROPN
ejpam-5562	145	27	,	,	PUNCT
ejpam-5562	145	28	c2	c2	PROPN
ejpam-5562	145	29	and	and	CCONJ
ejpam-5562	145	30	c3	c3	PROPN
ejpam-5562	145	31	are	be	AUX
ejpam-5562	145	32	coefficients	coefficient	NOUN
ejpam-5562	145	33	,	,	PUNCT
ejpam-5562	145	34	and	and	CCONJ
ejpam-5562	145	35	delays	delay	NOUN
ejpam-5562	145	36	τ1	τ1	NOUN
ejpam-5562	145	37	and	and	CCONJ
ejpam-5562	145	38	τ2	τ2	NOUN
ejpam-5562	145	39	represent	represent	VERB
ejpam-5562	145	40	the	the	DET
ejpam-5562	145	41	time	time	NOUN
ejpam-5562	145	42	lags	lag	VERB
ejpam-5562	145	43	in	in	ADP
ejpam-5562	145	44	the	the	DET
ejpam-5562	145	45	system	system	NOUN
ejpam-5562	145	46	that	that	PRON
ejpam-5562	145	47	affect	affect	VERB
ejpam-5562	145	48	how	how	SCONJ
ejpam-5562	145	49	past	past	ADJ
ejpam-5562	145	50	states	state	NOUN
ejpam-5562	145	51	of	of	ADP
ejpam-5562	145	52	the	the	DET
ejpam-5562	145	53	system	system	NOUN
ejpam-5562	145	54	influence	influence	VERB
ejpam-5562	145	55	its	its	PRON
ejpam-5562	145	56	current	current	ADJ
ejpam-5562	145	57	state	state	NOUN
ejpam-5562	145	58	.	.	PUNCT
ejpam-5562	146	1	the	the	DET
ejpam-5562	146	2	state	state	NOUN
ejpam-5562	146	3	variable	variable	NOUN
ejpam-5562	146	4	ψ(t	ψ(t	PROPN
ejpam-5562	146	5	)	)	PUNCT
ejpam-5562	146	6	represents	represent	VERB
ejpam-5562	146	7	the	the	DET
ejpam-5562	146	8	state	state	NOUN
ejpam-5562	146	9	of	of	ADP
ejpam-5562	146	10	parkinson	parkinson	NOUN
ejpam-5562	146	11	’s	’s	PART
ejpam-5562	146	12	disease	disease	NOUN
ejpam-5562	146	13	and	and	CCONJ
ejpam-5562	146	14	may	may	AUX
ejpam-5562	146	15	be	be	AUX
ejpam-5562	146	16	interpreted	interpret	VERB
ejpam-5562	146	17	as	as	ADP
ejpam-5562	146	18	a	a	DET
ejpam-5562	146	19	measure	measure	NOUN
ejpam-5562	146	20	of	of	ADP
ejpam-5562	146	21	symptoms	symptom	NOUN
ejpam-5562	146	22	,	,	PUNCT
ejpam-5562	146	23	the	the	DET
ejpam-5562	146	24	level	level	NOUN
ejpam-5562	146	25	of	of	ADP
ejpam-5562	146	26	a	a	DET
ejpam-5562	146	27	key	key	ADJ
ejpam-5562	146	28	neurochemical	neurochemical	ADJ
ejpam-5562	146	29	(	(	PUNCT
ejpam-5562	146	30	like	like	INTJ
ejpam-5562	146	31	dopamine	dopamine	NOUN
ejpam-5562	146	32	)	)	PUNCT
ejpam-5562	146	33	,	,	PUNCT
ejpam-5562	146	34	or	or	CCONJ
ejpam-5562	146	35	a	a	DET
ejpam-5562	146	36	composite	composite	ADJ
ejpam-5562	146	37	indicator	indicator	NOUN
ejpam-5562	146	38	of	of	ADP
ejpam-5562	146	39	disease	disease	NOUN
ejpam-5562	146	40	severity	severity	NOUN
ejpam-5562	146	41	.	.	PUNCT
ejpam-5562	147	1	by	by	ADP
ejpam-5562	147	2	modeling	model	VERB
ejpam-5562	147	3	ψ(t	ψ(t	PROPN
ejpam-5562	147	4	)	)	PUNCT
ejpam-5562	147	5	,	,	PUNCT
ejpam-5562	147	6	we	we	PRON
ejpam-5562	147	7	can	can	AUX
ejpam-5562	147	8	track	track	VERB
ejpam-5562	147	9	how	how	SCONJ
ejpam-5562	147	10	symptoms	symptom	NOUN
ejpam-5562	147	11	evolve	evolve	VERB
ejpam-5562	147	12	over	over	ADP
ejpam-5562	147	13	time	time	NOUN
ejpam-5562	147	14	and	and	CCONJ
ejpam-5562	147	15	potentially	potentially	ADV
ejpam-5562	147	16	predict	predict	VERB
ejpam-5562	147	17	the	the	DET
ejpam-5562	147	18	efficacy	efficacy	NOUN
ejpam-5562	147	19	of	of	ADP
ejpam-5562	147	20	different	different	ADJ
ejpam-5562	147	21	treatment	treatment	NOUN
ejpam-5562	147	22	strategies	strategy	NOUN
ejpam-5562	147	23	.	.	PUNCT
ejpam-5562	148	1	the	the	DET
ejpam-5562	148	2	coefficients	coefficient	NOUN
ejpam-5562	148	3	c1	c1	PROPN
ejpam-5562	148	4	,	,	PUNCT
ejpam-5562	148	5	c2	c2	PROPN
ejpam-5562	148	6	,	,	PUNCT
ejpam-5562	148	7	and	and	CCONJ
ejpam-5562	148	8	c3	c3	PROPN
ejpam-5562	148	9	describe	describe	VERB
ejpam-5562	148	10	the	the	DET
ejpam-5562	148	11	influence	influence	NOUN
ejpam-5562	148	12	of	of	ADP
ejpam-5562	148	13	the	the	DET
ejpam-5562	148	14	current	current	ADJ
ejpam-5562	148	15	state	state	NOUN
ejpam-5562	148	16	c1ψ(t	c1ψ(t	PROPN
ejpam-5562	148	17	)	)	PUNCT
ejpam-5562	148	18	and	and	CCONJ
ejpam-5562	148	19	the	the	DET
ejpam-5562	148	20	delayed	delay	VERB
ejpam-5562	148	21	states	state	NOUN
ejpam-5562	148	22	c2ψ(t−	c2ψ(t−	NOUN
ejpam-5562	148	23	τ1	τ1	PROPN
ejpam-5562	148	24	)	)	PUNCT
ejpam-5562	148	25	and	and	CCONJ
ejpam-5562	148	26	c3ψ(t−	c3ψ(t−	NOUN
ejpam-5562	148	27	τ2	τ2	NOUN
ejpam-5562	148	28	)	)	PUNCT
ejpam-5562	148	29	on	on	ADP
ejpam-5562	148	30	the	the	DET
ejpam-5562	148	31	rate	rate	NOUN
ejpam-5562	148	32	of	of	ADP
ejpam-5562	148	33	change	change	NOUN
ejpam-5562	148	34	of	of	ADP
ejpam-5562	148	35	ψ(t	ψ(t	PROPN
ejpam-5562	148	36	)	)	PUNCT
ejpam-5562	148	37	.	.	PUNCT
ejpam-5562	149	1	these	these	DET
ejpam-5562	149	2	coefficients	coefficient	NOUN
ejpam-5562	149	3	could	could	AUX
ejpam-5562	149	4	reflect	reflect	VERB
ejpam-5562	149	5	various	various	ADJ
ejpam-5562	149	6	physiological	physiological	ADJ
ejpam-5562	149	7	or	or	CCONJ
ejpam-5562	149	8	pharmacological	pharmacological	ADJ
ejpam-5562	149	9	factors	factor	NOUN
ejpam-5562	149	10	ψ(t	ψ(t	PROPN
ejpam-5562	149	11	)	)	PUNCT
ejpam-5562	149	12	may	may	AUX
ejpam-5562	149	13	represent	represent	VERB
ejpam-5562	149	14	the	the	DET
ejpam-5562	149	15	immediate	immediate	ADJ
ejpam-5562	149	16	rate	rate	NOUN
ejpam-5562	149	17	of	of	ADP
ejpam-5562	149	18	change	change	NOUN
ejpam-5562	149	19	due	due	ADP
ejpam-5562	149	20	to	to	ADP
ejpam-5562	149	21	the	the	DET
ejpam-5562	149	22	current	current	ADJ
ejpam-5562	149	23	state	state	NOUN
ejpam-5562	149	24	,	,	PUNCT
ejpam-5562	149	25	capturing	capture	VERB
ejpam-5562	149	26	the	the	DET
ejpam-5562	149	27	direct	direct	ADJ
ejpam-5562	149	28	,	,	PUNCT
ejpam-5562	149	29	instantaneous	instantaneous	ADJ
ejpam-5562	149	30	effects	effect	NOUN
ejpam-5562	149	31	on	on	ADP
ejpam-5562	149	32	the	the	DET
ejpam-5562	149	33	system	system	NOUN
ejpam-5562	149	34	,	,	PUNCT
ejpam-5562	149	35	while	while	SCONJ
ejpam-5562	149	36	c2	c2	PROPN
ejpam-5562	149	37	and	and	CCONJ
ejpam-5562	149	38	c3	c3	PROPN
ejpam-5562	149	39	represent	represent	VERB
ejpam-5562	149	40	the	the	DET
ejpam-5562	149	41	delayed	delay	VERB
ejpam-5562	149	42	responses	response	NOUN
ejpam-5562	149	43	.	.	PUNCT
ejpam-5562	150	1	these	these	DET
ejpam-5562	150	2	delays	delay	NOUN
ejpam-5562	150	3	could	could	AUX
ejpam-5562	150	4	arise	arise	VERB
ejpam-5562	150	5	from	from	ADP
ejpam-5562	150	6	physiological	physiological	ADJ
ejpam-5562	150	7	lags	lag	NOUN
ejpam-5562	150	8	in	in	ADP
ejpam-5562	150	9	response	response	NOUN
ejpam-5562	150	10	to	to	PART
ejpam-5562	150	11	stimuli	stimulus	NOUN
ejpam-5562	150	12	,	,	PUNCT
ejpam-5562	150	13	such	such	ADJ
ejpam-5562	150	14	as	as	ADP
ejpam-5562	150	15	the	the	DET
ejpam-5562	150	16	body	body	NOUN
ejpam-5562	150	17	’s	’s	PART
ejpam-5562	150	18	delayed	delay	VERB
ejpam-5562	150	19	reaction	reaction	NOUN
ejpam-5562	150	20	to	to	ADP
ejpam-5562	150	21	medication	medication	NOUN
ejpam-5562	150	22	or	or	CCONJ
ejpam-5562	150	23	time	time	NOUN
ejpam-5562	150	24	lagged	lag	VERB
ejpam-5562	150	25	feedback	feedback	NOUN
ejpam-5562	150	26	effects	effect	NOUN
ejpam-5562	150	27	in	in	ADP
ejpam-5562	150	28	the	the	DET
ejpam-5562	150	29	brain	brain	NOUN
ejpam-5562	150	30	’s	’s	PART
ejpam-5562	150	31	neurochemical	neurochemical	ADJ
ejpam-5562	150	32	systems	system	NOUN
ejpam-5562	150	33	.	.	PUNCT
ejpam-5562	151	1	the	the	DET
ejpam-5562	151	2	delays	delay	NOUN
ejpam-5562	151	3	τ1	τ1	NOUN
ejpam-5562	151	4	and	and	CCONJ
ejpam-5562	151	5	τ2	τ2	NOUN
ejpam-5562	151	6	could	could	AUX
ejpam-5562	151	7	correspond	correspond	VERB
ejpam-5562	151	8	to	to	ADP
ejpam-5562	151	9	different	different	ADJ
ejpam-5562	151	10	response	response	NOUN
ejpam-5562	151	11	times	time	NOUN
ejpam-5562	151	12	related	relate	VERB
ejpam-5562	151	13	to	to	ADP
ejpam-5562	151	14	disease	disease	NOUN
ejpam-5562	151	15	progression	progression	NOUN
ejpam-5562	151	16	or	or	CCONJ
ejpam-5562	151	17	the	the	DET
ejpam-5562	151	18	effects	effect	NOUN
ejpam-5562	151	19	of	of	ADP
ejpam-5562	151	20	medication	medication	NOUN
ejpam-5562	151	21	.	.	PUNCT
ejpam-5562	152	1	for	for	ADP
ejpam-5562	152	2	example	example	NOUN
ejpam-5562	152	3	,	,	PUNCT
ejpam-5562	152	4	the	the	DET
ejpam-5562	152	5	first	first	ADJ
ejpam-5562	152	6	delay	delay	NOUN
ejpam-5562	152	7	τ1	τ1	NOUN
ejpam-5562	152	8	might	might	AUX
ejpam-5562	152	9	represent	represent	VERB
ejpam-5562	152	10	the	the	DET
ejpam-5562	152	11	lag	lag	NOUN
ejpam-5562	152	12	in	in	ADP
ejpam-5562	152	13	the	the	DET
ejpam-5562	152	14	body	body	NOUN
ejpam-5562	152	15	’s	’s	PART
ejpam-5562	152	16	response	response	NOUN
ejpam-5562	152	17	to	to	ADP
ejpam-5562	152	18	dopaminergic	dopaminergic	ADJ
ejpam-5562	152	19	medication	medication	NOUN
ejpam-5562	152	20	often	often	ADV
ejpam-5562	152	21	observed	observe	VERB
ejpam-5562	152	22	as	as	ADP
ejpam-5562	152	23	“	"	PUNCT
ejpam-5562	152	24	on	on	ADP
ejpam-5562	152	25	”	"	PUNCT
ejpam-5562	152	26	periods	period	NOUN
ejpam-5562	152	27	when	when	SCONJ
ejpam-5562	152	28	symptoms	symptom	NOUN
ejpam-5562	152	29	improve	improve	VERB
ejpam-5562	152	30	,	,	PUNCT
ejpam-5562	152	31	while	while	SCONJ
ejpam-5562	152	32	the	the	DET
ejpam-5562	152	33	second	second	ADJ
ejpam-5562	152	34	delay	delay	NOUN
ejpam-5562	152	35	τ2	τ2	PROPN
ejpam-5562	152	36	might	might	AUX
ejpam-5562	152	37	represent	represent	VERB
ejpam-5562	152	38	a	a	DET
ejpam-5562	152	39	slower	slow	ADJ
ejpam-5562	152	40	feedback	feedback	NOUN
ejpam-5562	152	41	effect	effect	NOUN
ejpam-5562	152	42	or	or	CCONJ
ejpam-5562	152	43	a	a	DET
ejpam-5562	152	44	delayed	delay	VERB
ejpam-5562	152	45	response	response	NOUN
ejpam-5562	152	46	to	to	ADP
ejpam-5562	152	47	the	the	DET
ejpam-5562	152	48	decline	decline	NOUN
ejpam-5562	152	49	in	in	ADP
ejpam-5562	152	50	medication	medication	NOUN
ejpam-5562	152	51	levels	level	NOUN
ejpam-5562	152	52	leading	lead	VERB
ejpam-5562	152	53	to	to	ADP
ejpam-5562	152	54	“	"	PUNCT
ejpam-5562	152	55	off	off	ADJ
ejpam-5562	152	56	”	"	PUNCT
ejpam-5562	152	57	periods	period	NOUN
ejpam-5562	152	58	when	when	SCONJ
ejpam-5562	152	59	symptoms	symptom	NOUN
ejpam-5562	152	60	worsen	worsen	VERB
ejpam-5562	152	61	.	.	PUNCT
ejpam-5562	153	1	the	the	DET
ejpam-5562	153	2	“	"	PUNCT
ejpam-5562	153	3	on	on	ADP
ejpam-5562	153	4	”	"	PUNCT
ejpam-5562	153	5	and	and	CCONJ
ejpam-5562	153	6	“	"	PUNCT
ejpam-5562	153	7	off	off	ADJ
ejpam-5562	153	8	”	"	PUNCT
ejpam-5562	153	9	states	state	NOUN
ejpam-5562	153	10	in	in	ADP
ejpam-5562	153	11	parkinson	parkinson	NOUN
ejpam-5562	153	12	’s	’s	PART
ejpam-5562	153	13	disease	disease	NOUN
ejpam-5562	153	14	are	be	AUX
ejpam-5562	153	15	critical	critical	ADJ
ejpam-5562	153	16	for	for	ADP
ejpam-5562	153	17	understanding	understand	VERB
ejpam-5562	153	18	the	the	DET
ejpam-5562	153	19	practical	practical	ADJ
ejpam-5562	153	20	implications	implication	NOUN
ejpam-5562	153	21	of	of	ADP
ejpam-5562	153	22	this	this	DET
ejpam-5562	153	23	model	model	NOUN
ejpam-5562	153	24	.	.	PUNCT
ejpam-5562	154	1	in	in	ADP
ejpam-5562	154	2	the	the	DET
ejpam-5562	154	3	“	"	PUNCT
ejpam-5562	154	4	on	on	ADP
ejpam-5562	154	5	”	"	PUNCT
ejpam-5562	154	6	state	state	NOUN
ejpam-5562	154	7	,	,	PUNCT
ejpam-5562	154	8	medication	medication	NOUN
ejpam-5562	154	9	is	be	AUX
ejpam-5562	154	10	effective	effective	ADJ
ejpam-5562	154	11	,	,	PUNCT
ejpam-5562	154	12	and	and	CCONJ
ejpam-5562	154	13	symptoms	symptom	NOUN
ejpam-5562	154	14	are	be	AUX
ejpam-5562	154	15	temporarily	temporarily	ADV
ejpam-5562	154	16	improved	improve	VERB
ejpam-5562	154	17	.	.	PUNCT
ejpam-5562	155	1	this	this	DET
ejpam-5562	155	2	effect	effect	NOUN
ejpam-5562	155	3	might	might	AUX
ejpam-5562	155	4	be	be	AUX
ejpam-5562	155	5	reflected	reflect	VERB
ejpam-5562	155	6	in	in	ADP
ejpam-5562	155	7	a	a	DET
ejpam-5562	155	8	specific	specific	ADJ
ejpam-5562	155	9	combination	combination	NOUN
ejpam-5562	155	10	of	of	ADP
ejpam-5562	155	11	the	the	DET
ejpam-5562	155	12	coefficients	coefficient	NOUN
ejpam-5562	155	13	or	or	CCONJ
ejpam-5562	155	14	in	in	ADP
ejpam-5562	155	15	an	an	DET
ejpam-5562	155	16	additional	additional	ADJ
ejpam-5562	155	17	term	term	NOUN
ejpam-5562	155	18	in	in	ADP
ejpam-5562	155	19	the	the	DET
ejpam-5562	155	20	model	model	NOUN
ejpam-5562	155	21	that	that	PRON
ejpam-5562	155	22	represents	represent	VERB
ejpam-5562	155	23	an	an	DET
ejpam-5562	155	24	external	external	ADJ
ejpam-5562	155	25	effect	effect	NOUN
ejpam-5562	155	26	on	on	ADP
ejpam-5562	155	27	ψ(t	ψ(t	PROPN
ejpam-5562	155	28	)	)	PUNCT
ejpam-5562	155	29	when	when	SCONJ
ejpam-5562	155	30	medication	medication	NOUN
ejpam-5562	155	31	is	be	AUX
ejpam-5562	155	32	present	present	ADJ
ejpam-5562	155	33	.	.	PUNCT
ejpam-5562	156	1	over	over	ADP
ejpam-5562	156	2	time	time	NOUN
ejpam-5562	156	3	,	,	PUNCT
ejpam-5562	156	4	the	the	DET
ejpam-5562	156	5	medication	medication	NOUN
ejpam-5562	156	6	’s	’s	PART
ejpam-5562	156	7	effects	effect	NOUN
ejpam-5562	156	8	can	can	AUX
ejpam-5562	156	9	diminish	diminish	VERB
ejpam-5562	156	10	,	,	PUNCT
ejpam-5562	156	11	leading	lead	VERB
ejpam-5562	156	12	to	to	ADP
ejpam-5562	156	13	worsening	worsen	VERB
ejpam-5562	156	14	symptoms	symptom	NOUN
ejpam-5562	156	15	in	in	ADP
ejpam-5562	156	16	the	the	DET
ejpam-5562	156	17	“	"	PUNCT
ejpam-5562	156	18	off	off	ADJ
ejpam-5562	156	19	”	"	PUNCT
ejpam-5562	156	20	state	state	NOUN
ejpam-5562	156	21	.	.	PUNCT
ejpam-5562	157	1	this	this	DET
ejpam-5562	157	2	transition	transition	NOUN
ejpam-5562	157	3	fr	fr	INTJ
ejpam-5562	157	4	om	om	PROPN
ejpam-5562	157	5	“	"	PUNCT
ejpam-5562	157	6	on	on	ADP
ejpam-5562	157	7	”	"	PUNCT
ejpam-5562	157	8	to	to	ADP
ejpam-5562	157	9	“	"	PUNCT
ejpam-5562	157	10	off	off	ADV
ejpam-5562	157	11	”	"	PUNCT
ejpam-5562	157	12	could	could	AUX
ejpam-5562	157	13	be	be	AUX
ejpam-5562	157	14	represented	represent	VERB
ejpam-5562	157	15	by	by	ADP
ejpam-5562	157	16	a	a	DET
ejpam-5562	157	17	time	time	NOUN
ejpam-5562	157	18	dependent	dependent	ADJ
ejpam-5562	157	19	change	change	NOUN
ejpam-5562	157	20	in	in	ADP
ejpam-5562	157	21	the	the	DET
ejpam-5562	157	22	coefficients	coefficient	NOUN
ejpam-5562	157	23	(	(	PUNCT
ejpam-5562	157	24	for	for	ADP
ejpam-5562	157	25	example	example	NOUN
ejpam-5562	157	26	,	,	PUNCT
ejpam-5562	157	27	by	by	ADP
ejpam-5562	157	28	decreasing	decrease	VERB
ejpam-5562	157	29	c2	c2	PROPN
ejpam-5562	157	30	,	,	PUNCT
ejpam-5562	157	31	c3	c3	PROPN
ejpam-5562	157	32	)	)	PUNCT
ejpam-5562	157	33	to	to	PART
ejpam-5562	157	34	capture	capture	VERB
ejpam-5562	157	35	the	the	DET
ejpam-5562	157	36	diminishing	diminishing	NOUN
ejpam-5562	157	37	efficacy	efficacy	NOUN
ejpam-5562	157	38	of	of	ADP
ejpam-5562	157	39	the	the	DET
ejpam-5562	157	40	medication	medication	NOUN
ejpam-5562	157	41	.	.	PUNCT
ejpam-5562	158	1	the	the	DET
ejpam-5562	158	2	temporal	temporal	ADJ
ejpam-5562	158	3	aspect	aspect	NOUN
ejpam-5562	158	4	of	of	ADP
ejpam-5562	158	5	ψ(t	ψ(t	PROPN
ejpam-5562	158	6	)	)	PUNCT
ejpam-5562	158	7	in	in	ADP
ejpam-5562	158	8	parkinson	parkinson	NOUN
ejpam-5562	158	9	’s	’s	PART
ejpam-5562	158	10	disease	disease	NOUN
ejpam-5562	158	11	model	model	NOUN
ejpam-5562	158	12	captures	capture	VERB
ejpam-5562	158	13	how	how	SCONJ
ejpam-5562	158	14	the	the	DET
ejpam-5562	158	15	state	state	NOUN
ejpam-5562	158	16	of	of	ADP
ejpam-5562	158	17	the	the	DET
ejpam-5562	158	18	disease	disease	NOUN
ejpam-5562	158	19	changes	change	VERB
ejpam-5562	158	20	over	over	ADP
ejpam-5562	158	21	time	time	NOUN
ejpam-5562	158	22	.	.	PUNCT
ejpam-5562	159	1	this	this	PRON
ejpam-5562	159	2	could	could	AUX
ejpam-5562	159	3	include	include	VERB
ejpam-5562	159	4	fluctuations	fluctuation	NOUN
ejpam-5562	159	5	in	in	ADP
ejpam-5562	159	6	symptoms	symptom	NOUN
ejpam-5562	159	7	due	due	ADP
ejpam-5562	159	8	to	to	ADP
ejpam-5562	159	9	medication	medication	NOUN
ejpam-5562	159	10	cycles	cycle	NOUN
ejpam-5562	159	11	(	(	PUNCT
ejpam-5562	159	12	“	"	PUNCT
ejpam-5562	159	13	on	on	ADP
ejpam-5562	159	14	”	"	PUNCT
ejpam-5562	159	15	and	and	CCONJ
ejpam-5562	159	16	“	"	PUNCT
ejpam-5562	159	17	off	off	ADJ
ejpam-5562	159	18	”	"	PUNCT
ejpam-5562	159	19	states	state	NOUN
ejpam-5562	159	20	)	)	PUNCT
ejpam-5562	159	21	or	or	CCONJ
ejpam-5562	159	22	the	the	DET
ejpam-5562	159	23	long	long	ADJ
ejpam-5562	159	24	term	term	NOUN
ejpam-5562	159	25	progression	progression	NOUN
ejpam-5562	159	26	of	of	ADP
ejpam-5562	159	27	the	the	DET
ejpam-5562	159	28	disease	disease	NOUN
ejpam-5562	159	29	.	.	PUNCT
ejpam-5562	160	1	the	the	DET
ejpam-5562	160	2	spatial	spatial	ADJ
ejpam-5562	160	3	aspect	aspect	NOUN
ejpam-5562	160	4	involves	involve	VERB
ejpam-5562	160	5	extending	extend	VERB
ejpam-5562	160	6	the	the	DET
ejpam-5562	160	7	model	model	NOUN
ejpam-5562	160	8	to	to	PART
ejpam-5562	160	9	account	account	VERB
ejpam-5562	160	10	for	for	ADP
ejpam-5562	160	11	how	how	SCONJ
ejpam-5562	160	12	ψ(t	ψ(t	NOUN
ejpam-5562	160	13	)	)	PUNCT
ejpam-5562	160	14	varies	vary	VERB
ejpam-5562	160	15	across	across	ADP
ejpam-5562	160	16	different	different	ADJ
ejpam-5562	160	17	regions	region	NOUN
ejpam-5562	160	18	in	in	ADP
ejpam-5562	160	19	space	space	NOUN
ejpam-5562	160	20	,	,	PUNCT
ejpam-5562	160	21	such	such	ADJ
ejpam-5562	160	22	as	as	ADP
ejpam-5562	160	23	distinct	distinct	ADJ
ejpam-5562	160	24	areas	area	NOUN
ejpam-5562	160	25	of	of	ADP
ejpam-5562	160	26	the	the	DET
ejpam-5562	160	27	brain	brain	NOUN
ejpam-5562	160	28	affected	affect	VERB
ejpam-5562	160	29	by	by	ADP
ejpam-5562	160	30	parkinson	parkinson	NOUN
ejpam-5562	160	31	’s	’s	PART
ejpam-5562	160	32	disease	disease	NOUN
ejpam-5562	160	33	.	.	PUNCT
ejpam-5562	161	1	this	this	DET
ejpam-5562	161	2	g.	g.	NOUN
ejpam-5562	161	3	veerabathiran	veerabathiran	PROPN
ejpam-5562	161	4	,	,	PUNCT
ejpam-5562	161	5	g.	g.	PROPN
ejpam-5562	161	6	j.	j.	PROPN
ejpam-5562	161	7	kumar	kumar	PROPN
ejpam-5562	161	8	,	,	PUNCT
ejpam-5562	161	9	s.	s.	PROPN
ejpam-5562	161	10	donganont	donganont	PROPN
ejpam-5562	161	11	/	/	SYM
ejpam-5562	161	12	eur	eur	PROPN
ejpam-5562	161	13	.	.	PUNCT
ejpam-5562	162	1	j.	j.	PROPN
ejpam-5562	162	2	pure	pure	PROPN
ejpam-5562	162	3	appl	appl	PROPN
ejpam-5562	162	4	.	.	PROPN
ejpam-5562	162	5	math	math	PROPN
ejpam-5562	162	6	,	,	PUNCT
ejpam-5562	162	7	18	18	NUM
ejpam-5562	162	8	(	(	PUNCT
ejpam-5562	162	9	2	2	NUM
ejpam-5562	162	10	)	)	PUNCT
ejpam-5562	162	11	(	(	PUNCT
ejpam-5562	162	12	2025	2025	NUM
ejpam-5562	162	13	)	)	PUNCT
ejpam-5562	162	14	,	,	PUNCT
ejpam-5562	162	15	5562	5562	NUM
ejpam-5562	162	16	7	7	NUM
ejpam-5562	162	17	of	of	ADP
ejpam-5562	162	18	20	20	NUM
ejpam-5562	162	19	spatial	spatial	ADJ
ejpam-5562	162	20	modeling	modeling	NOUN
ejpam-5562	162	21	could	could	AUX
ejpam-5562	162	22	be	be	AUX
ejpam-5562	162	23	achieved	achieve	VERB
ejpam-5562	162	24	by	by	ADP
ejpam-5562	162	25	defining	define	VERB
ejpam-5562	162	26	ψ(t	ψ(t	PROPN
ejpam-5562	162	27	)	)	PUNCT
ejpam-5562	162	28	as	as	ADP
ejpam-5562	162	29	ψ(x	ψ(x	PROPN
ejpam-5562	162	30	,	,	PUNCT
ejpam-5562	162	31	t	t	PROPN
ejpam-5562	162	32	)	)	PUNCT
ejpam-5562	162	33	,	,	PUNCT
ejpam-5562	162	34	where	where	SCONJ
ejpam-5562	162	35	ψ	ψ	PRON
ejpam-5562	162	36	represents	represent	VERB
ejpam-5562	162	37	spatial	spatial	ADJ
ejpam-5562	162	38	coordinates	coordinate	NOUN
ejpam-5562	162	39	.	.	PUNCT
ejpam-5562	163	1	using	use	VERB
ejpam-5562	163	2	only	only	ADV
ejpam-5562	163	3	one	one	NUM
ejpam-5562	163	4	state	state	NOUN
ejpam-5562	163	5	variable	variable	NOUN
ejpam-5562	163	6	implies	imply	VERB
ejpam-5562	163	7	that	that	SCONJ
ejpam-5562	163	8	ψ(x	ψ(x	PROPN
ejpam-5562	163	9	,	,	PUNCT
ejpam-5562	163	10	t	t	PROPN
ejpam-5562	163	11	)	)	PUNCT
ejpam-5562	163	12	acts	act	VERB
ejpam-5562	163	13	as	as	ADP
ejpam-5562	163	14	a	a	DET
ejpam-5562	163	15	single	single	ADJ
ejpam-5562	163	16	indicator	indicator	NOUN
ejpam-5562	163	17	of	of	ADP
ejpam-5562	163	18	disease	disease	NOUN
ejpam-5562	163	19	progression	progression	NOUN
ejpam-5562	163	20	and	and	CCONJ
ejpam-5562	163	21	symptom	symptom	NOUN
ejpam-5562	163	22	severity	severity	NOUN
ejpam-5562	163	23	across	across	ADP
ejpam-5562	163	24	both	both	DET
ejpam-5562	163	25	time	time	NOUN
ejpam-5562	163	26	and	and	CCONJ
ejpam-5562	163	27	space	space	NOUN
ejpam-5562	163	28	.	.	PUNCT
ejpam-5562	164	1	for	for	ADP
ejpam-5562	164	2	example	example	NOUN
ejpam-5562	164	3	,	,	PUNCT
ejpam-5562	164	4	this	this	DET
ejpam-5562	164	5	single	single	ADJ
ejpam-5562	164	6	variable	variable	NOUN
ejpam-5562	164	7	might	might	AUX
ejpam-5562	164	8	represent	represent	VERB
ejpam-5562	164	9	the	the	DET
ejpam-5562	164	10	concentration	concentration	NOUN
ejpam-5562	164	11	of	of	ADP
ejpam-5562	164	12	dopamine	dopamine	NOUN
ejpam-5562	164	13	or	or	CCONJ
ejpam-5562	164	14	a	a	DET
ejpam-5562	164	15	symptom	symptom	NOUN
ejpam-5562	164	16	severity	severity	NOUN
ejpam-5562	164	17	index	index	NOUN
ejpam-5562	164	18	that	that	PRON
ejpam-5562	164	19	changes	change	VERB
ejpam-5562	164	20	over	over	ADP
ejpam-5562	164	21	time	time	NOUN
ejpam-5562	164	22	and	and	CCONJ
ejpam-5562	164	23	across	across	ADP
ejpam-5562	164	24	different	different	ADJ
ejpam-5562	164	25	parts	part	NOUN
ejpam-5562	164	26	of	of	ADP
ejpam-5562	164	27	the	the	DET
ejpam-5562	164	28	brain	brain	NOUN
ejpam-5562	164	29	.	.	PUNCT
ejpam-5562	165	1	spatial	spatial	ADJ
ejpam-5562	165	2	interactions	interaction	NOUN
ejpam-5562	165	3	could	could	AUX
ejpam-5562	165	4	be	be	AUX
ejpam-5562	165	5	incorporated	incorporate	VERB
ejpam-5562	165	6	by	by	ADP
ejpam-5562	165	7	allowing	allow	VERB
ejpam-5562	165	8	the	the	DET
ejpam-5562	165	9	state	state	NOUN
ejpam-5562	165	10	variable	variable	NOUN
ejpam-5562	165	11	to	to	PART
ejpam-5562	165	12	depend	depend	VERB
ejpam-5562	165	13	on	on	ADP
ejpam-5562	165	14	neighboring	neighboring	NOUN
ejpam-5562	165	15	values	value	NOUN
ejpam-5562	165	16	(	(	PUNCT
ejpam-5562	165	17	e.g.	e.g.	ADV
ejpam-5562	165	18	,	,	PUNCT
ejpam-5562	165	19	through	through	ADP
ejpam-5562	165	20	diffusion	diffusion	NOUN
ejpam-5562	165	21	terms	term	NOUN
ejpam-5562	165	22	if	if	SCONJ
ejpam-5562	165	23	using	use	VERB
ejpam-5562	165	24	a	a	DET
ejpam-5562	165	25	partial	partial	ADJ
ejpam-5562	165	26	differential	differential	NOUN
ejpam-5562	165	27	equation	equation	NOUN
ejpam-5562	165	28	)	)	PUNCT
ejpam-5562	165	29	.	.	PUNCT
ejpam-5562	166	1	modeling	model	VERB
ejpam-5562	166	2	with	with	ADP
ejpam-5562	166	3	one	one	NUM
ejpam-5562	166	4	state	state	NOUN
ejpam-5562	166	5	variable	variable	NOUN
ejpam-5562	166	6	allows	allow	VERB
ejpam-5562	166	7	for	for	ADP
ejpam-5562	166	8	a	a	DET
ejpam-5562	166	9	simpler	simple	ADJ
ejpam-5562	166	10	and	and	CCONJ
ejpam-5562	166	11	more	more	ADV
ejpam-5562	166	12	interpretable	interpretable	ADJ
ejpam-5562	166	13	representation	representation	NOUN
ejpam-5562	166	14	,	,	PUNCT
ejpam-5562	166	15	but	but	CCONJ
ejpam-5562	166	16	it	it	PRON
ejpam-5562	166	17	also	also	ADV
ejpam-5562	166	18	means	mean	VERB
ejpam-5562	166	19	sacrificing	sacrifice	VERB
ejpam-5562	166	20	some	some	DET
ejpam-5562	166	21	complexity	complexity	NOUN
ejpam-5562	166	22	.	.	PUNCT
ejpam-5562	167	1	by	by	ADP
ejpam-5562	167	2	using	use	VERB
ejpam-5562	167	3	one	one	NUM
ejpam-5562	167	4	variable	variable	NOUN
ejpam-5562	167	5	,	,	PUNCT
ejpam-5562	167	6	we	we	PRON
ejpam-5562	167	7	may	may	AUX
ejpam-5562	167	8	lose	lose	VERB
ejpam-5562	167	9	detailed	detailed	ADJ
ejpam-5562	167	10	information	information	NOUN
ejpam-5562	167	11	about	about	ADP
ejpam-5562	167	12	the	the	DET
ejpam-5562	167	13	multiple	multiple	ADJ
ejpam-5562	167	14	underlying	underlie	VERB
ejpam-5562	167	15	physiological	physiological	ADJ
ejpam-5562	167	16	processes	process	NOUN
ejpam-5562	167	17	,	,	PUNCT
ejpam-5562	167	18	but	but	CCONJ
ejpam-5562	167	19	we	we	PRON
ejpam-5562	167	20	gain	gain	VERB
ejpam-5562	167	21	a	a	DET
ejpam-5562	167	22	unified	unified	ADJ
ejpam-5562	167	23	view	view	NOUN
ejpam-5562	167	24	of	of	ADP
ejpam-5562	167	25	the	the	DET
ejpam-5562	167	26	disease	disease	NOUN
ejpam-5562	167	27	’s	’s	PART
ejpam-5562	167	28	impact	impact	NOUN
ejpam-5562	167	29	.	.	PUNCT
ejpam-5562	168	1	when	when	SCONJ
ejpam-5562	168	2	a	a	DET
ejpam-5562	168	3	patient	patient	NOUN
ejpam-5562	168	4	with	with	ADP
ejpam-5562	168	5	parkinson	parkinson	NOUN
ejpam-5562	168	6	’s	’s	PART
ejpam-5562	168	7	disease	disease	NOUN
ejpam-5562	168	8	is	be	AUX
ejpam-5562	168	9	off	off	ADP
ejpam-5562	168	10	medication	medication	NOUN
ejpam-5562	168	11	,	,	PUNCT
ejpam-5562	168	12	the	the	DET
ejpam-5562	168	13	delays	delay	NOUN
ejpam-5562	168	14	τ1	τ1	NOUN
ejpam-5562	168	15	and	and	CCONJ
ejpam-5562	168	16	τ2	τ2	PROPN
ejpam-5562	168	17	might	might	AUX
ejpam-5562	168	18	represent	represent	VERB
ejpam-5562	168	19	the	the	DET
ejpam-5562	168	20	time	time	NOUN
ejpam-5562	168	21	it	it	PRON
ejpam-5562	168	22	takes	take	VERB
ejpam-5562	168	23	for	for	ADP
ejpam-5562	168	24	symptoms	symptom	NOUN
ejpam-5562	168	25	to	to	PART
ejpam-5562	168	26	manifest	manifest	VERB
ejpam-5562	168	27	aft	aft	NOUN
ejpam-5562	168	28	er	er	INTJ
ejpam-5562	168	29	the	the	DET
ejpam-5562	168	30	last	last	ADJ
ejpam-5562	168	31	dose	dose	NOUN
ejpam-5562	168	32	of	of	ADP
ejpam-5562	168	33	medication	medication	NOUN
ejpam-5562	168	34	wears	wear	VERB
ejpam-5562	168	35	off	off	ADP
ejpam-5562	168	36	.	.	PUNCT
ejpam-5562	169	1	these	these	DET
ejpam-5562	169	2	delays	delay	NOUN
ejpam-5562	169	3	could	could	AUX
ejpam-5562	169	4	also	also	ADV
ejpam-5562	169	5	represent	represent	VERB
ejpam-5562	169	6	the	the	DET
ejpam-5562	169	7	time	time	NOUN
ejpam-5562	169	8	required	require	VERB
ejpam-5562	169	9	for	for	ADP
ejpam-5562	169	10	neurodegenerative	neurodegenerative	ADJ
ejpam-5562	169	11	processes	process	NOUN
ejpam-5562	169	12	to	to	PART
ejpam-5562	169	13	exert	exert	VERB
ejpam-5562	169	14	noticeable	noticeable	ADJ
ejpam-5562	169	15	effects	effect	NOUN
ejpam-5562	169	16	on	on	ADP
ejpam-5562	169	17	motor	motor	NOUN
ejpam-5562	169	18	functions	function	NOUN
ejpam-5562	169	19	.	.	PUNCT
ejpam-5562	170	1	in	in	ADP
ejpam-5562	170	2	this	this	DET
ejpam-5562	170	3	scenario	scenario	NOUN
ejpam-5562	170	4	,	,	PUNCT
ejpam-5562	170	5	larger	large	ADJ
ejpam-5562	170	6	delays	delay	NOUN
ejpam-5562	170	7	might	might	AUX
ejpam-5562	170	8	indicate	indicate	VERB
ejpam-5562	170	9	a	a	DET
ejpam-5562	170	10	slower	slow	ADJ
ejpam-5562	170	11	progression	progression	NOUN
ejpam-5562	170	12	of	of	ADP
ejpam-5562	170	13	symptoms	symptom	NOUN
ejpam-5562	170	14	,	,	PUNCT
ejpam-5562	170	15	as	as	SCONJ
ejpam-5562	170	16	it	it	PRON
ejpam-5562	170	17	takes	take	VERB
ejpam-5562	170	18	longer	long	ADV
ejpam-5562	170	19	for	for	SCONJ
ejpam-5562	170	20	the	the	DET
ejpam-5562	170	21	disease	disease	NOUN
ejpam-5562	170	22	to	to	PART
ejpam-5562	170	23	impact	impact	VERB
ejpam-5562	170	24	the	the	DET
ejpam-5562	170	25	patient	patient	NOUN
ejpam-5562	170	26	significantly	significantly	ADV
ejpam-5562	170	27	aft	aft	VERB
ejpam-5562	170	28	er	er	INTJ
ejpam-5562	170	29	the	the	DET
ejpam-5562	170	30	medication	medication	NOUN
ejpam-5562	170	31	effect	effect	NOUN
ejpam-5562	170	32	dissipates	dissipate	VERB
ejpam-5562	170	33	.	.	PUNCT
ejpam-5562	171	1	conversely	conversely	ADV
ejpam-5562	171	2	,	,	PUNCT
ejpam-5562	171	3	shorter	short	ADJ
ejpam-5562	171	4	delays	delay	NOUN
ejpam-5562	171	5	could	could	AUX
ejpam-5562	171	6	indicate	indicate	VERB
ejpam-5562	171	7	a	a	DET
ejpam-5562	171	8	more	more	ADV
ejpam-5562	171	9	rapid	rapid	ADJ
ejpam-5562	171	10	onset	onset	NOUN
ejpam-5562	171	11	of	of	ADP
ejpam-5562	171	12	symptoms	symptom	NOUN
ejpam-5562	171	13	once	once	SCONJ
ejpam-5562	171	14	medication	medication	NOUN
ejpam-5562	171	15	is	be	AUX
ejpam-5562	171	16	stopped	stop	VERB
ejpam-5562	171	17	,	,	PUNCT
ejpam-5562	171	18	leading	lead	VERB
ejpam-5562	171	19	to	to	ADP
ejpam-5562	171	20	faster	fast	ADJ
ejpam-5562	171	21	deterioration	deterioration	NOUN
ejpam-5562	171	22	in	in	ADP
ejpam-5562	171	23	motor	motor	NOUN
ejpam-5562	171	24	control	control	NOUN
ejpam-5562	171	25	and	and	CCONJ
ejpam-5562	171	26	other	other	ADJ
ejpam-5562	171	27	functions	function	NOUN
ejpam-5562	171	28	.	.	PUNCT
ejpam-5562	172	1	when	when	SCONJ
ejpam-5562	172	2	the	the	DET
ejpam-5562	172	3	patient	patient	NOUN
ejpam-5562	172	4	is	be	AUX
ejpam-5562	172	5	on	on	ADP
ejpam-5562	172	6	medication	medication	NOUN
ejpam-5562	172	7	,	,	PUNCT
ejpam-5562	172	8	the	the	DET
ejpam-5562	172	9	delays	delay	NOUN
ejpam-5562	172	10	τ1	τ1	NOUN
ejpam-5562	172	11	and	and	CCONJ
ejpam-5562	172	12	τ2	τ2	NOUN
ejpam-5562	172	13	could	could	AUX
ejpam-5562	172	14	reflect	reflect	VERB
ejpam-5562	172	15	the	the	DET
ejpam-5562	172	16	time	time	NOUN
ejpam-5562	172	17	it	it	PRON
ejpam-5562	172	18	takes	take	VERB
ejpam-5562	172	19	for	for	SCONJ
ejpam-5562	172	20	the	the	DET
ejpam-5562	172	21	medication	medication	NOUN
ejpam-5562	172	22	to	to	PART
ejpam-5562	172	23	take	take	VERB
ejpam-5562	172	24	effect	effect	NOUN
ejpam-5562	172	25	and	and	CCONJ
ejpam-5562	172	26	how	how	SCONJ
ejpam-5562	172	27	long	long	ADV
ejpam-5562	172	28	the	the	DET
ejpam-5562	172	29	benefits	benefit	NOUN
ejpam-5562	172	30	of	of	ADP
ejpam-5562	172	31	the	the	DET
ejpam-5562	172	32	medication	medication	NOUN
ejpam-5562	172	33	persist	persist	NOUN
ejpam-5562	172	34	in	in	ADP
ejpam-5562	172	35	the	the	DET
ejpam-5562	172	36	system	system	NOUN
ejpam-5562	172	37	.	.	PUNCT
ejpam-5562	173	1	the	the	DET
ejpam-5562	173	2	delays	delay	NOUN
ejpam-5562	173	3	might	might	AUX
ejpam-5562	173	4	also	also	ADV
ejpam-5562	173	5	capture	capture	VERB
ejpam-5562	173	6	the	the	DET
ejpam-5562	173	7	body	body	NOUN
ejpam-5562	173	8	’s	’s	PART
ejpam-5562	173	9	response	response	NOUN
ejpam-5562	173	10	time	time	NOUN
ejpam-5562	173	11	to	to	ADP
ejpam-5562	173	12	the	the	DET
ejpam-5562	173	13	medication	medication	NOUN
ejpam-5562	173	14	.	.	PUNCT
ejpam-5562	174	1	shorter	short	ADJ
ejpam-5562	174	2	delays	delay	NOUN
ejpam-5562	174	3	might	might	AUX
ejpam-5562	174	4	suggest	suggest	VERB
ejpam-5562	174	5	that	that	SCONJ
ejpam-5562	174	6	the	the	DET
ejpam-5562	174	7	medication	medication	NOUN
ejpam-5562	174	8	quickly	quickly	ADV
ejpam-5562	174	9	stabilizes	stabilize	VERB
ejpam-5562	174	10	the	the	DET
ejpam-5562	174	11	patient	patient	NOUN
ejpam-5562	174	12	’s	’s	PART
ejpam-5562	174	13	symptoms	symptom	NOUN
ejpam-5562	174	14	,	,	PUNCT
ejpam-5562	174	15	resulting	result	VERB
ejpam-5562	174	16	in	in	ADP
ejpam-5562	174	17	more	more	ADV
ejpam-5562	174	18	immediate	immediate	ADJ
ejpam-5562	174	19	relief	relief	NOUN
ejpam-5562	174	20	.	.	PUNCT
ejpam-5562	175	1	however	however	ADV
ejpam-5562	175	2	,	,	PUNCT
ejpam-5562	175	3	if	if	SCONJ
ejpam-5562	175	4	these	these	DET
ejpam-5562	175	5	delays	delay	NOUN
ejpam-5562	175	6	are	be	AUX
ejpam-5562	175	7	too	too	ADV
ejpam-5562	175	8	short	short	ADJ
ejpam-5562	175	9	,	,	PUNCT
ejpam-5562	175	10	it	it	PRON
ejpam-5562	175	11	might	might	AUX
ejpam-5562	175	12	also	also	ADV
ejpam-5562	175	13	indicate	indicate	VERB
ejpam-5562	175	14	a	a	DET
ejpam-5562	175	15	rapid	rapid	ADJ
ejpam-5562	175	16	onset	onset	NOUN
ejpam-5562	175	17	of	of	ADP
ejpam-5562	175	18	medication	medication	NOUN
ejpam-5562	175	19	wearing	wear	VERB
ejpam-5562	175	20	off	off	ADP
ejpam-5562	175	21	,	,	PUNCT
ejpam-5562	175	22	requiring	require	VERB
ejpam-5562	175	23	frequent	frequent	ADJ
ejpam-5562	175	24	dosing	dosing	NOUN
ejpam-5562	175	25	to	to	PART
ejpam-5562	175	26	maintain	maintain	VERB
ejpam-5562	175	27	symptom	symptom	NOUN
ejpam-5562	175	28	control	control	NOUN
ejpam-5562	175	29	.	.	PUNCT
ejpam-5562	176	1	longer	long	ADJ
ejpam-5562	176	2	delays	delay	NOUN
ejpam-5562	176	3	,	,	PUNCT
ejpam-5562	176	4	on	on	ADP
ejpam-5562	176	5	the	the	DET
ejpam-5562	176	6	other	other	ADJ
ejpam-5562	176	7	hand	hand	NOUN
ejpam-5562	176	8	,	,	PUNCT
ejpam-5562	176	9	might	might	AUX
ejpam-5562	176	10	mean	mean	VERB
ejpam-5562	176	11	that	that	SCONJ
ejpam-5562	176	12	the	the	DET
ejpam-5562	176	13	medication	medication	NOUN
ejpam-5562	176	14	has	have	VERB
ejpam-5562	176	15	a	a	DET
ejpam-5562	176	16	sustained	sustained	ADJ
ejpam-5562	176	17	effect	effect	NOUN
ejpam-5562	176	18	,	,	PUNCT
ejpam-5562	176	19	allowing	allow	VERB
ejpam-5562	176	20	for	for	ADP
ejpam-5562	176	21	more	more	ADV
ejpam-5562	176	22	extended	extended	ADJ
ejpam-5562	176	23	periods	period	NOUN
ejpam-5562	176	24	of	of	ADP
ejpam-5562	176	25	symptom	symptom	NOUN
ejpam-5562	176	26	relief	relief	NOUN
ejpam-5562	176	27	but	but	CCONJ
ejpam-5562	176	28	potentially	potentially	ADV
ejpam-5562	176	29	leading	lead	VERB
ejpam-5562	176	30	to	to	ADP
ejpam-5562	176	31	slower	slow	ADJ
ejpam-5562	176	32	responses	response	NOUN
ejpam-5562	176	33	to	to	PART
ejpam-5562	176	34	dose	dose	NOUN
ejpam-5562	176	35	adjustments	adjustment	NOUN
ejpam-5562	176	36	.	.	PUNCT
ejpam-5562	177	1	for	for	ADP
ejpam-5562	177	2	healthy	healthy	ADJ
ejpam-5562	177	3	controls	control	NOUN
ejpam-5562	177	4	,	,	PUNCT
ejpam-5562	177	5	the	the	DET
ejpam-5562	177	6	delays	delay	NOUN
ejpam-5562	177	7	τ1	τ1	NOUN
ejpam-5562	177	8	and	and	CCONJ
ejpam-5562	177	9	τ2	τ2	NOUN
ejpam-5562	177	10	might	might	AUX
ejpam-5562	177	11	be	be	AUX
ejpam-5562	177	12	negligible	negligible	ADJ
ejpam-5562	177	13	or	or	CCONJ
ejpam-5562	177	14	significantly	significantly	ADV
ejpam-5562	177	15	different	different	ADJ
ejpam-5562	177	16	from	from	ADP
ejpam-5562	177	17	those	those	PRON
ejpam-5562	177	18	in	in	ADP
ejpam-5562	177	19	pd	pd	NOUN
ejpam-5562	177	20	patients	patient	NOUN
ejpam-5562	177	21	.	.	PUNCT
ejpam-5562	178	1	these	these	DET
ejpam-5562	178	2	delays	delay	NOUN
ejpam-5562	178	3	could	could	AUX
ejpam-5562	178	4	reflect	reflect	VERB
ejpam-5562	178	5	normal	normal	ADJ
ejpam-5562	178	6	physiological	physiological	ADJ
ejpam-5562	178	7	time	time	NOUN
ejpam-5562	178	8	lags	lag	VERB
ejpam-5562	178	9	in	in	ADP
ejpam-5562	178	10	motor	motor	NOUN
ejpam-5562	178	11	control	control	NOUN
ejpam-5562	178	12	processes	process	NOUN
ejpam-5562	178	13	or	or	CCONJ
ejpam-5562	178	14	other	other	ADJ
ejpam-5562	178	15	neurological	neurological	ADJ
ejpam-5562	178	16	functions	function	NOUN
ejpam-5562	178	17	that	that	PRON
ejpam-5562	178	18	do	do	AUX
ejpam-5562	178	19	not	not	PART
ejpam-5562	178	20	result	result	VERB
ejpam-5562	178	21	in	in	ADP
ejpam-5562	178	22	symptoms	symptom	NOUN
ejpam-5562	178	23	.	.	PUNCT
ejpam-5562	179	1	the	the	DET
ejpam-5562	179	2	difference	difference	NOUN
ejpam-5562	179	3	in	in	ADP
ejpam-5562	179	4	delays	delay	NOUN
ejpam-5562	179	5	between	between	ADP
ejpam-5562	179	6	healthy	healthy	ADJ
ejpam-5562	179	7	controls	control	NOUN
ejpam-5562	179	8	and	and	CCONJ
ejpam-5562	179	9	pd	pd	NOUN
ejpam-5562	179	10	patients	patient	NOUN
ejpam-5562	179	11	(	(	PUNCT
ejpam-5562	179	12	on	on	ADP
ejpam-5562	179	13	or	or	CCONJ
ejpam-5562	179	14	off	off	ADP
ejpam-5562	179	15	medication	medication	NOUN
ejpam-5562	179	16	)	)	PUNCT
ejpam-5562	179	17	can	can	AUX
ejpam-5562	179	18	be	be	AUX
ejpam-5562	179	19	used	use	VERB
ejpam-5562	179	20	to	to	PART
ejpam-5562	179	21	distinguish	distinguish	VERB
ejpam-5562	179	22	between	between	ADP
ejpam-5562	179	23	normal	normal	ADJ
ejpam-5562	179	24	and	and	CCONJ
ejpam-5562	179	25	pathological	pathological	ADJ
ejpam-5562	179	26	states	state	NOUN
ejpam-5562	179	27	.	.	PUNCT
ejpam-5562	180	1	the	the	DET
ejpam-5562	180	2	delays	delay	NOUN
ejpam-5562	180	3	τ1	τ1	NOUN
ejpam-5562	180	4	and	and	CCONJ
ejpam-5562	180	5	τ2	τ2	NOUN
ejpam-5562	180	6	could	could	AUX
ejpam-5562	180	7	potentially	potentially	ADV
ejpam-5562	180	8	serve	serve	VERB
ejpam-5562	180	9	as	as	ADP
ejpam-5562	180	10	bio	bio	NOUN
ejpam-5562	180	11	-	-	NOUN
ejpam-5562	180	12	markers	marker	NOUN
ejpam-5562	180	13	for	for	ADP
ejpam-5562	180	14	the	the	DET
ejpam-5562	180	15	effectiveness	effectiveness	NOUN
ejpam-5562	180	16	of	of	ADP
ejpam-5562	180	17	treatment	treatment	NOUN
ejpam-5562	180	18	or	or	CCONJ
ejpam-5562	180	19	the	the	DET
ejpam-5562	180	20	stage	stage	NOUN
ejpam-5562	180	21	of	of	ADP
ejpam-5562	180	22	the	the	DET
ejpam-5562	180	23	disease	disease	NOUN
ejpam-5562	180	24	.	.	PUNCT
ejpam-5562	181	1	researchers	researcher	NOUN
ejpam-5562	181	2	could	could	AUX
ejpam-5562	181	3	use	use	VERB
ejpam-5562	181	4	this	this	DET
ejpam-5562	181	5	information	information	NOUN
ejpam-5562	181	6	to	to	PART
ejpam-5562	181	7	develop	develop	VERB
ejpam-5562	181	8	new	new	ADJ
ejpam-5562	181	9	therapeutic	therapeutic	ADJ
ejpam-5562	181	10	strategies	strategy	NOUN
ejpam-5562	181	11	aimed	aim	VERB
ejpam-5562	181	12	to	to	PART
ejpam-5562	181	13	achieve	achieve	VERB
ejpam-5562	181	14	better	well	ADJ
ejpam-5562	181	15	disease	disease	NOUN
ejpam-5562	181	16	management	management	NOUN
ejpam-5562	181	17	.	.	PUNCT
ejpam-5562	182	1	insights	insight	NOUN
ejpam-5562	182	2	into	into	ADP
ejpam-5562	182	3	how	how	SCONJ
ejpam-5562	182	4	these	these	DET
ejpam-5562	182	5	delays	delay	NOUN
ejpam-5562	182	6	affect	affect	VERB
ejpam-5562	182	7	disease	disease	NOUN
ejpam-5562	182	8	dynamics	dynamic	NOUN
ejpam-5562	182	9	could	could	AUX
ejpam-5562	182	10	lead	lead	VERB
ejpam-5562	182	11	to	to	ADP
ejpam-5562	182	12	the	the	DET
ejpam-5562	182	13	development	development	NOUN
ejpam-5562	182	14	of	of	ADP
ejpam-5562	182	15	more	more	ADV
ejpam-5562	182	16	sophisticated	sophisticated	ADJ
ejpam-5562	182	17	models	model	NOUN
ejpam-5562	182	18	that	that	PRON
ejpam-5562	182	19	account	account	VERB
ejpam-5562	182	20	for	for	ADP
ejpam-5562	182	21	individual	individual	ADJ
ejpam-5562	182	22	differences	difference	NOUN
ejpam-5562	182	23	in	in	ADP
ejpam-5562	182	24	delay	delay	NOUN
ejpam-5562	182	25	patterns	pattern	NOUN
ejpam-5562	182	26	,	,	PUNCT
ejpam-5562	182	27	leading	lead	VERB
ejpam-5562	182	28	to	to	ADP
ejpam-5562	182	29	better	well	ADJ
ejpam-5562	182	30	predictive	predictive	ADJ
ejpam-5562	182	31	models	model	NOUN
ejpam-5562	182	32	for	for	ADP
ejpam-5562	182	33	disease	disease	NOUN
ejpam-5562	182	34	progression	progression	NOUN
ejpam-5562	182	35	and	and	CCONJ
ejpam-5562	182	36	treatment	treatment	NOUN
ejpam-5562	182	37	outcomes	outcome	NOUN
ejpam-5562	182	38	.	.	PUNCT
ejpam-5562	183	1	in	in	ADP
ejpam-5562	183	2	this	this	DET
ejpam-5562	183	3	paper	paper	NOUN
ejpam-5562	183	4	,	,	PUNCT
ejpam-5562	183	5	we	we	PRON
ejpam-5562	183	6	investigate	investigate	VERB
ejpam-5562	183	7	the	the	DET
ejpam-5562	183	8	stability	stability	NOUN
ejpam-5562	183	9	analysis	analysis	NOUN
ejpam-5562	183	10	of	of	ADP
ejpam-5562	183	11	dde	dde	PROPN
ejpam-5562	183	12	(	(	PUNCT
ejpam-5562	183	13	3	3	NUM
ejpam-5562	183	14	)	)	PUNCT
ejpam-5562	183	15	with	with	ADP
ejpam-5562	183	16	the	the	DET
ejpam-5562	183	17	condition	condition	NOUN
ejpam-5562	183	18	ψ(t	ψ(t	PROPN
ejpam-5562	183	19	)	)	PUNCT
ejpam-5562	183	20	=	=	SYM
ejpam-5562	183	21	ϕ(t	ϕ(t	NUM
ejpam-5562	183	22	)	)	PUNCT
ejpam-5562	183	23	,	,	PUNCT
ejpam-5562	183	24	t	t	VERB
ejpam-5562	183	25	≤	≤	NUM
ejpam-5562	183	26	0	0	NUM
ejpam-5562	183	27	.	.	PUNCT
ejpam-5562	184	1	(	(	PUNCT
ejpam-5562	184	2	4	4	X
ejpam-5562	184	3	)	)	PUNCT
ejpam-5562	184	4	g.	g.	NOUN
ejpam-5562	184	5	veerabathiran	veerabathiran	ADJ
ejpam-5562	184	6	,	,	PUNCT
ejpam-5562	184	7	g.	g.	PROPN
ejpam-5562	184	8	j.	j.	PROPN
ejpam-5562	184	9	kumar	kumar	PROPN
ejpam-5562	184	10	,	,	PUNCT
ejpam-5562	184	11	s.	s.	PROPN
ejpam-5562	184	12	donganont	donganont	PROPN
ejpam-5562	184	13	/	/	SYM
ejpam-5562	184	14	eur	eur	PROPN
ejpam-5562	184	15	.	.	PUNCT
ejpam-5562	185	1	j.	j.	PROPN
ejpam-5562	185	2	pure	pure	PROPN
ejpam-5562	185	3	appl	appl	PROPN
ejpam-5562	185	4	.	.	PROPN
ejpam-5562	185	5	math	math	PROPN
ejpam-5562	185	6	,	,	PUNCT
ejpam-5562	185	7	18	18	NUM
ejpam-5562	185	8	(	(	PUNCT
ejpam-5562	185	9	2	2	NUM
ejpam-5562	185	10	)	)	PUNCT
ejpam-5562	185	11	(	(	PUNCT
ejpam-5562	185	12	2025	2025	NUM
ejpam-5562	185	13	)	)	PUNCT
ejpam-5562	185	14	,	,	PUNCT
ejpam-5562	185	15	5562	5562	NUM
ejpam-5562	185	16	8	8	NUM
ejpam-5562	185	17	of	of	ADP
ejpam-5562	185	18	20	20	NUM
ejpam-5562	185	19	we	we	PRON
ejpam-5562	185	20	employing	employ	VERB
ejpam-5562	185	21	the	the	DET
ejpam-5562	185	22	linear	linear	ADJ
ejpam-5562	185	23	delay	delay	NOUN
ejpam-5562	185	24	differential	differential	ADJ
ejpam-5562	185	25	equation	equation	NOUN
ejpam-5562	185	26	(	(	PUNCT
ejpam-5562	185	27	3	3	NUM
ejpam-5562	185	28	)	)	PUNCT
ejpam-5562	185	29	to	to	PART
ejpam-5562	185	30	analyze	analyze	VERB
ejpam-5562	185	31	the	the	DET
ejpam-5562	185	32	spatiotemporal	spatiotemporal	ADJ
ejpam-5562	185	33	patterns	pattern	NOUN
ejpam-5562	185	34	of	of	ADP
ejpam-5562	185	35	repetitive	repetitive	ADJ
ejpam-5562	185	36	hand	hand	NOUN
ejpam-5562	185	37	movements	movement	NOUN
ejpam-5562	185	38	in	in	ADP
ejpam-5562	185	39	pd	pd	PROPN
ejpam-5562	185	40	patients	patient	NOUN
ejpam-5562	185	41	.	.	PUNCT
ejpam-5562	186	1	ddes	dde	NOUN
ejpam-5562	186	2	are	be	AUX
ejpam-5562	186	3	powerful	powerful	ADJ
ejpam-5562	186	4	mathematical	mathematical	ADJ
ejpam-5562	186	5	tools	tool	NOUN
ejpam-5562	186	6	that	that	PRON
ejpam-5562	186	7	model	model	VERB
ejpam-5562	186	8	the	the	DET
ejpam-5562	186	9	temporal	temporal	ADJ
ejpam-5562	186	10	evolution	evolution	NOUN
ejpam-5562	186	11	of	of	ADP
ejpam-5562	186	12	a	a	DET
ejpam-5562	186	13	system	system	NOUN
ejpam-5562	186	14	by	by	ADP
ejpam-5562	186	15	incorporating	incorporate	VERB
ejpam-5562	186	16	delays	delay	NOUN
ejpam-5562	186	17	that	that	PRON
ejpam-5562	186	18	correspond	correspond	VERB
ejpam-5562	186	19	to	to	ADP
ejpam-5562	186	20	past	past	ADJ
ejpam-5562	186	21	states	state	NOUN
ejpam-5562	186	22	of	of	ADP
ejpam-5562	186	23	the	the	DET
ejpam-5562	186	24	system	system	NOUN
ejpam-5562	186	25	.	.	PUNCT
ejpam-5562	187	1	this	this	PRON
ejpam-5562	187	2	allows	allow	VERB
ejpam-5562	187	3	for	for	ADP
ejpam-5562	187	4	capturing	capture	VERB
ejpam-5562	187	5	complex	complex	ADJ
ejpam-5562	187	6	dynamics	dynamic	NOUN
ejpam-5562	187	7	,	,	PUNCT
ejpam-5562	187	8	such	such	ADJ
ejpam-5562	187	9	as	as	ADP
ejpam-5562	187	10	those	those	PRON
ejpam-5562	187	11	observed	observe	VERB
ejpam-5562	187	12	in	in	ADP
ejpam-5562	187	13	pd	pd	PROPN
ejpam-5562	187	14	.	.	PUNCT
ejpam-5562	187	15	by	by	ADP
ejpam-5562	187	16	focusing	focus	VERB
ejpam-5562	187	17	on	on	ADP
ejpam-5562	187	18	the	the	DET
ejpam-5562	187	19	frequency	frequency	NOUN
ejpam-5562	187	20	components	component	NOUN
ejpam-5562	187	21	of	of	ADP
ejpam-5562	187	22	hand	hand	NOUN
ejpam-5562	187	23	movements	movement	NOUN
ejpam-5562	187	24	and	and	CCONJ
ejpam-5562	187	25	their	their	PRON
ejpam-5562	187	26	interactions	interaction	NOUN
ejpam-5562	187	27	,	,	PUNCT
ejpam-5562	187	28	we	we	PRON
ejpam-5562	187	29	aim	aim	VERB
ejpam-5562	187	30	to	to	PART
ejpam-5562	187	31	distinguish	distinguish	VERB
ejpam-5562	187	32	between	between	ADP
ejpam-5562	187	33	the	the	DET
ejpam-5562	187	34	movement	movement	NOUN
ejpam-5562	187	35	patterns	pattern	NOUN
ejpam-5562	187	36	of	of	ADP
ejpam-5562	187	37	pd	pd	PROPN
ejpam-5562	187	38	patients	patient	NOUN
ejpam-5562	187	39	on	on	ADP
ejpam-5562	187	40	and	and	CCONJ
ejpam-5562	187	41	off	off	ADP
ejpam-5562	187	42	medication	medication	NOUN
ejpam-5562	187	43	,	,	PUNCT
ejpam-5562	187	44	and	and	CCONJ
ejpam-5562	187	45	those	those	PRON
ejpam-5562	187	46	of	of	ADP
ejpam-5562	187	47	age	age	NOUN
ejpam-5562	187	48	matched	match	VERB
ejpam-5562	187	49	control	control	NOUN
ejpam-5562	187	50	subjects	subject	NOUN
ejpam-5562	187	51	.	.	PUNCT
ejpam-5562	188	1	the	the	DET
ejpam-5562	188	2	insights	insight	NOUN
ejpam-5562	188	3	gained	gain	VERB
ejpam-5562	188	4	from	from	ADP
ejpam-5562	188	5	stability	stability	NOUN
ejpam-5562	188	6	analysis	analysis	NOUN
ejpam-5562	188	7	contribute	contribute	VERB
ejpam-5562	188	8	to	to	ADP
ejpam-5562	188	9	a	a	DET
ejpam-5562	188	10	deeper	deep	ADJ
ejpam-5562	188	11	understanding	understanding	NOUN
ejpam-5562	188	12	of	of	ADP
ejpam-5562	188	13	the	the	DET
ejpam-5562	188	14	dynamic	dynamic	ADJ
ejpam-5562	188	15	nature	nature	NOUN
ejpam-5562	188	16	of	of	ADP
ejpam-5562	188	17	parkinson	parkinson	NOUN
ejpam-5562	188	18	’s	’s	PART
ejpam-5562	188	19	disease	disease	NOUN
ejpam-5562	188	20	.	.	PUNCT
ejpam-5562	189	1	this	this	PRON
ejpam-5562	189	2	can	can	AUX
ejpam-5562	189	3	lead	lead	VERB
ejpam-5562	189	4	to	to	ADP
ejpam-5562	189	5	new	new	ADJ
ejpam-5562	189	6	research	research	NOUN
ejpam-5562	189	7	avenues	avenue	NOUN
ejpam-5562	189	8	focused	focus	VERB
ejpam-5562	189	9	on	on	ADP
ejpam-5562	189	10	identifying	identify	VERB
ejpam-5562	189	11	critical	critical	ADJ
ejpam-5562	189	12	factors	factor	NOUN
ejpam-5562	189	13	that	that	PRON
ejpam-5562	189	14	influence	influence	VERB
ejpam-5562	189	15	the	the	DET
ejpam-5562	189	16	stability	stability	NOUN
ejpam-5562	189	17	of	of	ADP
ejpam-5562	189	18	the	the	DET
ejpam-5562	189	19	disease	disease	NOUN
ejpam-5562	189	20	and	and	CCONJ
ejpam-5562	189	21	exploring	explore	VERB
ejpam-5562	189	22	how	how	SCONJ
ejpam-5562	189	23	these	these	DET
ejpam-5562	189	24	factors	factor	NOUN
ejpam-5562	189	25	can	can	AUX
ejpam-5562	189	26	be	be	AUX
ejpam-5562	189	27	manipulated	manipulate	VERB
ejpam-5562	189	28	to	to	PART
ejpam-5562	189	29	improve	improve	VERB
ejpam-5562	189	30	patient	patient	ADJ
ejpam-5562	189	31	outcomes	outcome	NOUN
ejpam-5562	189	32	.	.	PUNCT
ejpam-5562	190	1	by	by	ADP
ejpam-5562	190	2	understanding	understanding	NOUN
ejpam-5562	190	3	which	which	DET
ejpam-5562	190	4	conditions	condition	NOUN
ejpam-5562	190	5	lead	lead	VERB
ejpam-5562	190	6	to	to	ADP
ejpam-5562	190	7	stability	stability	NOUN
ejpam-5562	190	8	or	or	CCONJ
ejpam-5562	190	9	instability	instability	NOUN
ejpam-5562	190	10	,	,	PUNCT
ejpam-5562	190	11	researchers	researcher	NOUN
ejpam-5562	190	12	and	and	CCONJ
ejpam-5562	190	13	clinicians	clinician	NOUN
ejpam-5562	190	14	can	can	AUX
ejpam-5562	190	15	design	design	VERB
ejpam-5562	190	16	more	more	ADV
ejpam-5562	190	17	effective	effective	ADJ
ejpam-5562	190	18	therapeutic	therapeutic	ADJ
ejpam-5562	190	19	interventions	intervention	NOUN
ejpam-5562	190	20	.	.	PUNCT
ejpam-5562	191	1	the	the	DET
ejpam-5562	191	2	analysis	analysis	NOUN
ejpam-5562	191	3	involves	involve	VERB
ejpam-5562	191	4	extracting	extract	VERB
ejpam-5562	191	5	dominant	dominant	ADJ
ejpam-5562	191	6	frequencies	frequency	NOUN
ejpam-5562	191	7	and	and	CCONJ
ejpam-5562	191	8	their	their	PRON
ejpam-5562	191	9	non	non	ADJ
ejpam-5562	191	10	linear	linear	PROPN
ejpam-5562	191	11	couplings	coupling	NOUN
ejpam-5562	191	12	,	,	PUNCT
ejpam-5562	191	13	which	which	PRON
ejpam-5562	191	14	provide	provide	VERB
ejpam-5562	191	15	a	a	DET
ejpam-5562	191	16	comprehensive	comprehensive	ADJ
ejpam-5562	191	17	understanding	understanding	NOUN
ejpam-5562	191	18	of	of	ADP
ejpam-5562	191	19	the	the	DET
ejpam-5562	191	20	underlying	underlie	VERB
ejpam-5562	191	21	motor	motor	NOUN
ejpam-5562	191	22	control	control	NOUN
ejpam-5562	191	23	disruptions	disruption	NOUN
ejpam-5562	191	24	in	in	ADP
ejpam-5562	191	25	pd	pd	PROPN
ejpam-5562	191	26	.	.	PUNCT
ejpam-5562	192	1	this	this	DET
ejpam-5562	192	2	mathematical	mathematical	ADJ
ejpam-5562	192	3	modeling	modeling	NOUN
ejpam-5562	192	4	approach	approach	NOUN
ejpam-5562	192	5	not	not	PART
ejpam-5562	192	6	only	only	ADV
ejpam-5562	192	7	helps	help	VERB
ejpam-5562	192	8	in	in	ADP
ejpam-5562	192	9	classifying	classify	VERB
ejpam-5562	192	10	the	the	DET
ejpam-5562	192	11	severity	severity	NOUN
ejpam-5562	192	12	and	and	CCONJ
ejpam-5562	192	13	treatment	treatment	NOUN
ejpam-5562	192	14	response	response	NOUN
ejpam-5562	192	15	in	in	ADP
ejpam-5562	192	16	pd	pd	PROPN
ejpam-5562	192	17	but	but	CCONJ
ejpam-5562	192	18	also	also	ADV
ejpam-5562	192	19	offers	offer	VERB
ejpam-5562	192	20	a	a	DET
ejpam-5562	192	21	potential	potential	ADJ
ejpam-5562	192	22	pathway	pathway	NOUN
ejpam-5562	192	23	for	for	ADP
ejpam-5562	192	24	developing	develop	VERB
ejpam-5562	192	25	objective	objective	ADJ
ejpam-5562	192	26	diagnostic	diagnostic	ADJ
ejpam-5562	192	27	and	and	CCONJ
ejpam-5562	192	28	monitoring	monitor	VERB
ejpam-5562	192	29	tools	tool	NOUN
ejpam-5562	192	30	for	for	ADP
ejpam-5562	192	31	the	the	DET
ejpam-5562	192	32	disease	disease	NOUN
ejpam-5562	192	33	.	.	PUNCT
ejpam-5562	193	1	3	3	X
ejpam-5562	193	2	.	.	X
ejpam-5562	193	3	laplace	laplace	NOUN
ejpam-5562	193	4	transform	transform	NOUN
ejpam-5562	193	5	method	method	NOUN
ejpam-5562	193	6	in	in	ADP
ejpam-5562	193	7	this	this	DET
ejpam-5562	193	8	section	section	NOUN
ejpam-5562	193	9	,	,	PUNCT
ejpam-5562	193	10	we	we	PRON
ejpam-5562	193	11	provide	provide	VERB
ejpam-5562	193	12	the	the	DET
ejpam-5562	193	13	general	general	ADJ
ejpam-5562	193	14	solution	solution	NOUN
ejpam-5562	193	15	of	of	ADP
ejpam-5562	193	16	multi	multi	PROPN
ejpam-5562	193	17	dde	dde	PROPN
ejpam-5562	193	18	using	use	VERB
ejpam-5562	193	19	laplace	laplace	NOUN
ejpam-5562	193	20	transform	transform	NOUN
ejpam-5562	193	21	method	method	NOUN
ejpam-5562	193	22	.	.	PUNCT
ejpam-5562	194	1	definition	definition	NOUN
ejpam-5562	194	2	1	1	NUM
ejpam-5562	194	3	.	.	PUNCT
ejpam-5562	195	1	let	let	AUX
ejpam-5562	195	2	ψ(t	ψ(t	PROPN
ejpam-5562	195	3	)	)	PUNCT
ejpam-5562	195	4	be	be	VERB
ejpam-5562	195	5	a	a	DET
ejpam-5562	195	6	function	function	NOUN
ejpam-5562	195	7	of	of	ADP
ejpam-5562	195	8	t	t	PROPN
ejpam-5562	195	9	>	>	X
ejpam-5562	195	10	0	0	PROPN
ejpam-5562	195	11	.	.	PUNCT
ejpam-5562	196	1	then	then	ADV
ejpam-5562	196	2	the	the	DET
ejpam-5562	196	3	laplace	laplace	NOUN
ejpam-5562	196	4	transform	transform	NOUN
ejpam-5562	196	5	of	of	ADP
ejpam-5562	196	6	ψ(t	ψ(t	PROPN
ejpam-5562	196	7	)	)	PUNCT
ejpam-5562	196	8	defined	define	VERB
ejpam-5562	196	9	by	by	ADP
ejpam-5562	196	10	l[ψ(t	l[ψ(t	PROPN
ejpam-5562	196	11	)	)	PUNCT
ejpam-5562	196	12	]	]	PUNCT
ejpam-5562	197	1	=	=	PUNCT
ejpam-5562	197	2	∫	∫	PROPN
ejpam-5562	198	1	∞	∞	PROPN
ejpam-5562	198	2	0	0	NUM
ejpam-5562	198	3	e−stψ(t)dt	e−stψ(t)dt	PUNCT
ejpam-5562	198	4	=	=	SYM
ejpam-5562	198	5	ψ(s	ψ(s	PROPN
ejpam-5562	198	6	)	)	PUNCT
ejpam-5562	198	7	,	,	PUNCT
ejpam-5562	198	8	where	where	SCONJ
ejpam-5562	198	9	l	l	NOUN
ejpam-5562	198	10	is	be	AUX
ejpam-5562	198	11	laplace	laplace	NOUN
ejpam-5562	198	12	transform	transform	NOUN
ejpam-5562	198	13	operator	operator	NOUN
ejpam-5562	198	14	,	,	PUNCT
ejpam-5562	198	15	t	t	PROPN
ejpam-5562	198	16	is	be	AUX
ejpam-5562	198	17	a	a	DET
ejpam-5562	198	18	time	time	NOUN
ejpam-5562	198	19	domain	domain	NOUN
ejpam-5562	198	20	and	and	CCONJ
ejpam-5562	198	21	s	s	NOUN
ejpam-5562	198	22	is	be	AUX
ejpam-5562	198	23	a	a	DET
ejpam-5562	198	24	frequency	frequency	NOUN
ejpam-5562	198	25	domain	domain	NOUN
ejpam-5562	198	26	.	.	PUNCT
ejpam-5562	199	1	the	the	DET
ejpam-5562	199	2	general	general	ADJ
ejpam-5562	199	3	form	form	NOUN
ejpam-5562	199	4	of	of	ADP
ejpam-5562	199	5	ddes	dde	NOUN
ejpam-5562	199	6	is	be	AUX
ejpam-5562	199	7	ψ(t	ψ(t	PROPN
ejpam-5562	199	8	)	)	PUNCT
ejpam-5562	199	9	=	=	SYM
ejpam-5562	199	10	g(t	g(t	PROPN
ejpam-5562	199	11	,	,	PUNCT
ejpam-5562	199	12	ψ(t	ψ(t	PROPN
ejpam-5562	199	13	)	)	PUNCT
ejpam-5562	199	14	,	,	PUNCT
ejpam-5562	199	15	ψ(t−	ψ(t−	CCONJ
ejpam-5562	199	16	τ1	τ1	NOUN
ejpam-5562	199	17	)	)	PUNCT
ejpam-5562	199	18	,	,	PUNCT
ejpam-5562	199	19	ψ(t−	ψ(t−	CCONJ
ejpam-5562	199	20	τ2	τ2	NOUN
ejpam-5562	199	21	)	)	PUNCT
ejpam-5562	199	22	...	...	PUNCT
ejpam-5562	199	23	,	,	PUNCT
ejpam-5562	199	24	ψ(t−	ψ(t−	CCONJ
ejpam-5562	199	25	τk	τk	ADP
ejpam-5562	199	26	)	)	PUNCT
ejpam-5562	199	27	.	.	PUNCT
ejpam-5562	200	1	definition	definition	NOUN
ejpam-5562	200	2	2	2	NUM
ejpam-5562	200	3	.	.	PUNCT
ejpam-5562	201	1	let	let	VERB
ejpam-5562	201	2	ψ(t−	ψ(t−	INTJ
ejpam-5562	201	3	τ	τ	AUX
ejpam-5562	201	4	)	)	PUNCT
ejpam-5562	201	5	be	be	VERB
ejpam-5562	201	6	a	a	DET
ejpam-5562	201	7	positive	positive	ADJ
ejpam-5562	201	8	real	real	ADJ
ejpam-5562	201	9	valued	value	VERB
ejpam-5562	201	10	function	function	NOUN
ejpam-5562	201	11	.	.	PUNCT
ejpam-5562	202	1	then	then	ADV
ejpam-5562	202	2	l[ψ(t−	l[ψ(t−	VERB
ejpam-5562	202	3	τ	τ	X
ejpam-5562	202	4	)	)	PUNCT
ejpam-5562	202	5	]	]	PUNCT
ejpam-5562	203	1	=	=	PUNCT
ejpam-5562	203	2	∫	∫	PROPN
ejpam-5562	204	1	∞	∞	PROPN
ejpam-5562	204	2	0	0	NUM
ejpam-5562	205	1	e−stψ(t−	e−stψ(t−	PROPN
ejpam-5562	205	2	τ)dt	τ)dt	PROPN
ejpam-5562	205	3	=	=	PUNCT
ejpam-5562	205	4	ϕ(s	ϕ(s	PROPN
ejpam-5562	205	5	)	)	PUNCT
ejpam-5562	205	6	+	+	CCONJ
ejpam-5562	205	7	e−stψ(s	e−stψ(s	X
ejpam-5562	205	8	)	)	PUNCT
ejpam-5562	205	9	,	,	PUNCT
ejpam-5562	205	10	where	where	SCONJ
ejpam-5562	205	11	ϕ(s	ϕ(s	X
ejpam-5562	205	12	)	)	PUNCT
ejpam-5562	205	13	=	=	SYM
ejpam-5562	206	1	e−sτ	e−sτ	ADJ
ejpam-5562	206	2	∫	∫	PROPN
ejpam-5562	206	3	0	0	NUM
ejpam-5562	207	1	−τ	−τ	PROPN
ejpam-5562	207	2	e−srψ(r)dr	e−srψ(r)dr	PROPN
ejpam-5562	207	3	.	.	PUNCT
ejpam-5562	208	1	theorem	theorem	NOUN
ejpam-5562	208	2	1	1	NUM
ejpam-5562	208	3	.	.	PUNCT
ejpam-5562	209	1	[	[	X
ejpam-5562	209	2	40	40	NUM
ejpam-5562	209	3	]	]	PUNCT
ejpam-5562	209	4	let	let	VERB
ejpam-5562	209	5	ψ(t	ψ(t	PROPN
ejpam-5562	209	6	)	)	PUNCT
ejpam-5562	209	7	,	,	PUNCT
ejpam-5562	209	8	t	t	PROPN
ejpam-5562	209	9	∈	∈	PROPN
ejpam-5562	209	10	(	(	PUNCT
ejpam-5562	209	11	0	0	NUM
ejpam-5562	209	12	,	,	PUNCT
ejpam-5562	209	13	t0	t0	PROPN
ejpam-5562	209	14	)	)	PUNCT
ejpam-5562	209	15	be	be	VERB
ejpam-5562	209	16	the	the	DET
ejpam-5562	209	17	real	real	ADV
ejpam-5562	209	18	valued	value	VERB
ejpam-5562	209	19	function	function	NOUN
ejpam-5562	209	20	.	.	PUNCT
ejpam-5562	210	1	suppose	suppose	VERB
ejpam-5562	210	2	that	that	SCONJ
ejpam-5562	210	3	ψ(t	ψ(t	PROPN
ejpam-5562	210	4	)	)	PUNCT
ejpam-5562	210	5	is	be	AUX
ejpam-5562	210	6	piecewise	piecewise	NOUN
ejpam-5562	210	7	continuous	continuous	ADJ
ejpam-5562	210	8	of	of	ADP
ejpam-5562	210	9	exponential	exponential	ADJ
ejpam-5562	210	10	order	order	NOUN
ejpam-5562	210	11	and	and	CCONJ
ejpam-5562	210	12	e−αt|ψ(t)|	e−αt|ψ(t)|	ADJ
ejpam-5562	210	13	<	<	X
ejpam-5562	210	14	m	m	X
ejpam-5562	210	15	,	,	PUNCT
ejpam-5562	210	16	exists	exist	VERB
ejpam-5562	210	17	for	for	ADP
ejpam-5562	210	18	some	some	DET
ejpam-5562	210	19	constants	constant	NOUN
ejpam-5562	210	20	α	α	NOUN
ejpam-5562	210	21	,	,	PUNCT
ejpam-5562	210	22	m	m	VERB
ejpam-5562	210	23	>	>	X
ejpam-5562	210	24	0	0	X
ejpam-5562	210	25	.	.	PUNCT
ejpam-5562	211	1	then	then	ADV
ejpam-5562	211	2	the	the	DET
ejpam-5562	211	3	laplace	laplace	NOUN
ejpam-5562	211	4	transform	transform	VERB
ejpam-5562	211	5	l	l	NOUN
ejpam-5562	211	6	of	of	ADP
ejpam-5562	211	7	ψ(t	ψ(t	PROPN
ejpam-5562	211	8	)	)	PUNCT
ejpam-5562	211	9	exists	exist	VERB
ejpam-5562	211	10	.	.	PUNCT
ejpam-5562	212	1	g.	g.	PROPN
ejpam-5562	212	2	veerabathiran	veerabathiran	PROPN
ejpam-5562	212	3	,	,	PUNCT
ejpam-5562	212	4	g.	g.	PROPN
ejpam-5562	212	5	j.	j.	PROPN
ejpam-5562	212	6	kumar	kumar	PROPN
ejpam-5562	212	7	,	,	PUNCT
ejpam-5562	212	8	s.	s.	PROPN
ejpam-5562	212	9	donganont	donganont	PROPN
ejpam-5562	212	10	/	/	SYM
ejpam-5562	212	11	eur	eur	PROPN
ejpam-5562	212	12	.	.	PUNCT
ejpam-5562	213	1	j.	j.	PROPN
ejpam-5562	213	2	pure	pure	PROPN
ejpam-5562	213	3	appl	appl	PROPN
ejpam-5562	213	4	.	.	PROPN
ejpam-5562	213	5	math	math	PROPN
ejpam-5562	213	6	,	,	PUNCT
ejpam-5562	213	7	18	18	NUM
ejpam-5562	213	8	(	(	PUNCT
ejpam-5562	213	9	2	2	NUM
ejpam-5562	213	10	)	)	PUNCT
ejpam-5562	213	11	(	(	PUNCT
ejpam-5562	213	12	2025	2025	NUM
ejpam-5562	213	13	)	)	PUNCT
ejpam-5562	213	14	,	,	PUNCT
ejpam-5562	213	15	5562	5562	NUM
ejpam-5562	213	16	9	9	NUM
ejpam-5562	213	17	of	of	ADP
ejpam-5562	213	18	20	20	NUM
ejpam-5562	213	19	theorem	theorem	NOUN
ejpam-5562	213	20	2	2	NUM
ejpam-5562	213	21	.	.	PUNCT
ejpam-5562	214	1	[	[	X
ejpam-5562	214	2	15	15	NUM
ejpam-5562	214	3	]	]	PUNCT
ejpam-5562	214	4	let	let	VERB
ejpam-5562	214	5	g(t	g(t	PROPN
ejpam-5562	214	6	)	)	PUNCT
ejpam-5562	214	7	,	,	PUNCT
ejpam-5562	214	8	h(t	h(t	PROPN
ejpam-5562	214	9	)	)	PUNCT
ejpam-5562	214	10	≥	≥	X
ejpam-5562	214	11	0	0	NUM
ejpam-5562	214	12	are	be	AUX
ejpam-5562	214	13	continuous	continuous	ADJ
ejpam-5562	214	14	real	real	ADJ
ejpam-5562	214	15	valued	value	VERB
ejpam-5562	214	16	functions	function	NOUN
ejpam-5562	214	17	on	on	ADP
ejpam-5562	214	18	(	(	PUNCT
ejpam-5562	214	19	0	0	NUM
ejpam-5562	214	20	,	,	PUNCT
ejpam-5562	214	21	∞	∞	NUM
ejpam-5562	214	22	)	)	PUNCT
ejpam-5562	214	23	.	.	PUNCT
ejpam-5562	215	1	if	if	SCONJ
ejpam-5562	215	2	u(t	u(t	NOUN
ejpam-5562	215	3	)	)	PUNCT
ejpam-5562	215	4	≤	≤	NOUN
ejpam-5562	215	5	h(t	h(t	PROPN
ejpam-5562	215	6	)	)	PUNCT
ejpam-5562	216	1	+	+	ADJ
ejpam-5562	216	2	g(t	g(t	PROPN
ejpam-5562	216	3	)	)	PUNCT
ejpam-5562	216	4	∫	∫	PROPN
ejpam-5562	216	5	t	t	PROPN
ejpam-5562	216	6	0	0	NUM
ejpam-5562	216	7	l(τ)u(τ)dτ	l(τ)u(τ)dτ	NOUN
ejpam-5562	216	8	.	.	PUNCT
ejpam-5562	217	1	then	then	ADV
ejpam-5562	217	2	u(t	u(t	NOUN
ejpam-5562	217	3	)	)	PUNCT
ejpam-5562	217	4	≤	≤	NOUN
ejpam-5562	217	5	h(t	h(t	PROPN
ejpam-5562	217	6	)	)	PUNCT
ejpam-5562	218	1	+	+	ADJ
ejpam-5562	218	2	g(t	g(t	PROPN
ejpam-5562	218	3	)	)	PUNCT
ejpam-5562	219	1	∫	∫	PROPN
ejpam-5562	219	2	t	t	PROPN
ejpam-5562	219	3	0	0	NUM
ejpam-5562	220	1	h(τ)l(τ)e	h(τ)l(τ)e	PROPN
ejpam-5562	220	2	∫	∫	PROPN
ejpam-5562	220	3	t	t	PROPN
ejpam-5562	220	4	τ	τ	PROPN
ejpam-5562	220	5	l(ζ)g(ζ)dζdτ	l(ζ)g(ζ)dζdτ	X
ejpam-5562	220	6	.	.	PUNCT
ejpam-5562	220	7	theorem	theorem	NOUN
ejpam-5562	220	8	3	3	X
ejpam-5562	220	9	.	.	PUNCT
ejpam-5562	221	1	let	let	VERB
ejpam-5562	221	2	the	the	DET
ejpam-5562	221	3	dde	dde	PROPN
ejpam-5562	221	4	(	(	PUNCT
ejpam-5562	221	5	1	1	X
ejpam-5562	221	6	)	)	PUNCT
ejpam-5562	221	7	satisfies	satisfie	NOUN
ejpam-5562	221	8	theorem	theorem	VERB
ejpam-5562	221	9	1	1	NUM
ejpam-5562	221	10	.	.	PUNCT
ejpam-5562	222	1	then	then	ADV
ejpam-5562	222	2	,	,	PUNCT
ejpam-5562	222	3	l	l	NOUN
ejpam-5562	222	4	is	be	AUX
ejpam-5562	222	5	the	the	DET
ejpam-5562	222	6	exact	exact	ADJ
ejpam-5562	222	7	solution	solution	NOUN
ejpam-5562	222	8	of	of	ADP
ejpam-5562	222	9	(	(	PUNCT
ejpam-5562	222	10	1	1	NUM
ejpam-5562	222	11	)	)	PUNCT
ejpam-5562	222	12	(	(	PUNCT
ejpam-5562	222	13	2	2	NUM
ejpam-5562	222	14	)	)	PUNCT
ejpam-5562	222	15	.	.	PUNCT
ejpam-5562	223	1	proof	proof	NOUN
ejpam-5562	223	2	.	.	PUNCT
ejpam-5562	224	1	integrating	integrate	VERB
ejpam-5562	224	2	the	the	DET
ejpam-5562	224	3	equation	equation	NOUN
ejpam-5562	224	4	(	(	PUNCT
ejpam-5562	224	5	1	1	NUM
ejpam-5562	224	6	)	)	PUNCT
ejpam-5562	224	7	with	with	ADP
ejpam-5562	224	8	in	in	ADP
ejpam-5562	224	9	the	the	DET
ejpam-5562	224	10	limit	limit	NOUN
ejpam-5562	224	11	(	(	PUNCT
ejpam-5562	224	12	0	0	NUM
ejpam-5562	224	13	,	,	PUNCT
ejpam-5562	224	14	t	t	PROPN
ejpam-5562	224	15	)	)	PUNCT
ejpam-5562	224	16	,	,	PUNCT
ejpam-5562	224	17	we	we	PRON
ejpam-5562	224	18	have	have	VERB
ejpam-5562	224	19	ψ(t)−	ψ(t)−	PROPN
ejpam-5562	224	20	ϕ(0)−	ϕ(0)−	PROPN
ejpam-5562	224	21	a	a	DET
ejpam-5562	224	22	∫	∫	PROPN
ejpam-5562	224	23	t	t	NOUN
ejpam-5562	224	24	0	0	NUM
ejpam-5562	225	1	ψ(u)du−	ψ(u)du−	PROPN
ejpam-5562	225	2	b	b	X
ejpam-5562	225	3	∫	∫	PROPN
ejpam-5562	225	4	t	t	PROPN
ejpam-5562	225	5	0	0	NUM
ejpam-5562	226	1	ψ(u−	ψ(u−	ADP
ejpam-5562	226	2	τ1)du−	τ1)du−	ADP
ejpam-5562	226	3	c	c	PROPN
ejpam-5562	226	4	∫	∫	PROPN
ejpam-5562	226	5	t	t	PROPN
ejpam-5562	226	6	0	0	NUM
ejpam-5562	227	1	ψ(u−	ψ(u−	ADP
ejpam-5562	227	2	τ2)du	τ2)du	PROPN
ejpam-5562	227	3	=	=	SYM
ejpam-5562	227	4	∫	∫	PROPN
ejpam-5562	228	1	t	t	PROPN
ejpam-5562	228	2	0	0	NUM
ejpam-5562	228	3	g(u)du	g(u)du	PROPN
ejpam-5562	228	4	.	.	PUNCT
ejpam-5562	229	1	(	(	PUNCT
ejpam-5562	229	2	5	5	X
ejpam-5562	229	3	)	)	PUNCT
ejpam-5562	229	4	replacing	replace	VERB
ejpam-5562	229	5	integral	integral	ADJ
ejpam-5562	229	6	variable	variable	NOUN
ejpam-5562	229	7	by	by	ADP
ejpam-5562	229	8	u−	u−	PROPN
ejpam-5562	229	9	τi	τi	NOUN
ejpam-5562	229	10	=	=	SYM
ejpam-5562	229	11	ti	ti	NOUN
ejpam-5562	229	12	,	,	PUNCT
ejpam-5562	229	13	for	for	ADP
ejpam-5562	229	14	i	i	PROPN
ejpam-5562	229	15	=	=	SYM
ejpam-5562	229	16	1	1	NUM
ejpam-5562	229	17	,	,	PUNCT
ejpam-5562	229	18	2	2	NUM
ejpam-5562	229	19	,	,	PUNCT
ejpam-5562	229	20	...	...	PUNCT
ejpam-5562	229	21	,	,	PUNCT
ejpam-5562	229	22	n	n	X
ejpam-5562	229	23	(	(	PUNCT
ejpam-5562	229	24	n	n	CCONJ
ejpam-5562	229	25	delay	delay	VERB
ejpam-5562	229	26	terms)∫	terms)∫	PROPN
ejpam-5562	229	27	t	t	NOUN
ejpam-5562	229	28	0	0	NUM
ejpam-5562	230	1	ψ(u−	ψ(u−	ADP
ejpam-5562	230	2	τi)du	τi)du	PUNCT
ejpam-5562	230	3	=	=	SYM
ejpam-5562	230	4	∫	∫	PROPN
ejpam-5562	230	5	0	0	NUM
ejpam-5562	231	1	−τi	−τi	NOUN
ejpam-5562	232	1	ϕ(ti)dti	ϕ(ti)dti	PROPN
ejpam-5562	232	2	+	+	CCONJ
ejpam-5562	232	3	∫	∫	PROPN
ejpam-5562	232	4	t−τi	t−τi	NOUN
ejpam-5562	232	5	0	0	PUNCT
ejpam-5562	233	1	ψ(ti)dti	ψ(ti)dti	ADJ
ejpam-5562	233	2	.	.	PUNCT
ejpam-5562	234	1	(	(	PUNCT
ejpam-5562	234	2	6	6	X
ejpam-5562	234	3	)	)	PUNCT
ejpam-5562	234	4	these	these	DET
ejpam-5562	234	5	expression	expression	NOUN
ejpam-5562	234	6	in	in	ADP
ejpam-5562	234	7	equation	equation	NOUN
ejpam-5562	234	8	(	(	PUNCT
ejpam-5562	234	9	5	5	NUM
ejpam-5562	234	10	)	)	PUNCT
ejpam-5562	234	11	,	,	PUNCT
ejpam-5562	234	12	we	we	PRON
ejpam-5562	234	13	can	can	AUX
ejpam-5562	234	14	write	write	VERB
ejpam-5562	234	15	,	,	PUNCT
ejpam-5562	234	16	ψ(t	ψ(t	PROPN
ejpam-5562	234	17	)	)	PUNCT
ejpam-5562	235	1	+	+	CCONJ
ejpam-5562	235	2	l1(t)−	l1(t)−	PROPN
ejpam-5562	235	3	a	a	DET
ejpam-5562	235	4	∫	∫	PROPN
ejpam-5562	235	5	t	t	NOUN
ejpam-5562	235	6	0	0	NUM
ejpam-5562	236	1	ψ(u)du−	ψ(u)du−	PROPN
ejpam-5562	236	2	b	b	X
ejpam-5562	236	3	∫	∫	PROPN
ejpam-5562	236	4	τ−τ1	τ−τ1	X
ejpam-5562	236	5	0	0	NUM
ejpam-5562	236	6	ψ(t1)dt1	ψ(t1)dt1	PROPN
ejpam-5562	236	7	−	−	PROPN
ejpam-5562	237	1	c	c	PROPN
ejpam-5562	237	2	∫	∫	PROPN
ejpam-5562	237	3	t−τ2	t−τ2	X
ejpam-5562	237	4	0	0	NUM
ejpam-5562	237	5	ψ(t2)dt2	ψ(t2)dt2	PROPN
ejpam-5562	237	6	=	=	SYM
ejpam-5562	237	7	∫	∫	PROPN
ejpam-5562	238	1	t	t	PROPN
ejpam-5562	238	2	0	0	NUM
ejpam-5562	238	3	g(u)du	g(u)du	PROPN
ejpam-5562	238	4	,	,	PUNCT
ejpam-5562	238	5	(	(	PUNCT
ejpam-5562	238	6	7	7	X
ejpam-5562	238	7	)	)	PUNCT
ejpam-5562	238	8	where	where	SCONJ
ejpam-5562	238	9	l1(t	l1(t	X
ejpam-5562	238	10	)	)	PUNCT
ejpam-5562	238	11	=	=	SYM
ejpam-5562	239	1	−ϕ(0)−	−ϕ(0)−	PROPN
ejpam-5562	239	2	b	b	X
ejpam-5562	239	3	∫	∫	PROPN
ejpam-5562	239	4	0	0	PUNCT
ejpam-5562	240	1	−τ1	−τ1	NOUN
ejpam-5562	240	2	ϕ(t1)dt1	ϕ(t1)dt1	NOUN
ejpam-5562	240	3	−	−	PROPN
ejpam-5562	241	1	c	c	NOUN
ejpam-5562	241	2	∫	∫	PROPN
ejpam-5562	241	3	0	0	NUM
ejpam-5562	242	1	−τ2	−τ2	PROPN
ejpam-5562	242	2	ϕ(t2)dt2	ϕ(t2)dt2	NOUN
ejpam-5562	242	3	,	,	PUNCT
ejpam-5562	242	4	|ψ(t)|	|ψ(t)|	NUM
ejpam-5562	242	5	≤	≤	ADJ
ejpam-5562	242	6	|l1(t)|+	|l1(t)|+	PROPN
ejpam-5562	242	7	l2(t	l2(t	PROPN
ejpam-5562	242	8	)	)	PUNCT
ejpam-5562	242	9	+	+	CCONJ
ejpam-5562	242	10	|a|	|a|	NUM
ejpam-5562	242	11	∫	∫	PROPN
ejpam-5562	242	12	t	t	PROPN
ejpam-5562	242	13	0	0	NUM
ejpam-5562	243	1	|ψ(u)|du+	|ψ(u)|du+	PROPN
ejpam-5562	243	2	∫	∫	PROPN
ejpam-5562	243	3	t	t	PROPN
ejpam-5562	243	4	0	0	NUM
ejpam-5562	244	1	|g(u)|du	|g(u)|du	X
ejpam-5562	244	2	,	,	PUNCT
ejpam-5562	244	3	where	where	SCONJ
ejpam-5562	244	4	l2(t	l2(t	PROPN
ejpam-5562	244	5	)	)	PUNCT
ejpam-5562	244	6	=	=	PUNCT
ejpam-5562	245	1	|b|	|b|	PROPN
ejpam-5562	245	2	∫	∫	PROPN
ejpam-5562	245	3	t	t	PROPN
ejpam-5562	245	4	0	0	NUM
ejpam-5562	246	1	|ψ(t1)|dt1	|ψ(t1)|dt1	PROPN
ejpam-5562	247	1	+	+	CCONJ
ejpam-5562	247	2	|c|	|c|	PROPN
ejpam-5562	247	3	∫	∫	PROPN
ejpam-5562	247	4	t	t	PROPN
ejpam-5562	247	5	0	0	NUM
ejpam-5562	247	6	|ψ(t2)|dt2	|ψ(t2)|dt2	PROPN
ejpam-5562	247	7	.	.	PUNCT
ejpam-5562	248	1	by	by	ADP
ejpam-5562	248	2	theorem	theorem	NOUN
ejpam-5562	248	3	1	1	NUM
ejpam-5562	248	4	,	,	PUNCT
ejpam-5562	248	5	ψ(t	ψ(t	PROPN
ejpam-5562	248	6	)	)	PUNCT
ejpam-5562	248	7	is	be	AUX
ejpam-5562	248	8	piecewise	piecewise	NOUN
ejpam-5562	248	9	continuous	continuous	ADJ
ejpam-5562	248	10	in	in	ADP
ejpam-5562	248	11	the	the	DET
ejpam-5562	248	12	interval	interval	NOUN
ejpam-5562	248	13	(	(	PUNCT
ejpam-5562	248	14	0	0	NUM
ejpam-5562	248	15	,	,	PUNCT
ejpam-5562	248	16	t	t	PROPN
ejpam-5562	248	17	)	)	PUNCT
ejpam-5562	248	18	,	,	PUNCT
ejpam-5562	248	19	then	then	ADV
ejpam-5562	248	20	e−αu|g(u)|	e−αu|g(u)|	PROPN
ejpam-5562	248	21	<	<	X
ejpam-5562	248	22	m	m	PROPN
ejpam-5562	248	23	,	,	PUNCT
ejpam-5562	248	24	(	(	PUNCT
ejpam-5562	248	25	u	u	NOUN
ejpam-5562	248	26	>	>	X
ejpam-5562	248	27	0	0	NUM
ejpam-5562	248	28	)	)	PUNCT
ejpam-5562	248	29	,	,	PUNCT
ejpam-5562	248	30	for	for	SCONJ
ejpam-5562	248	31	some	some	DET
ejpam-5562	248	32	constants	constant	NOUN
ejpam-5562	248	33	α	α	NOUN
ejpam-5562	248	34	,	,	PUNCT
ejpam-5562	248	35	m	m	VERB
ejpam-5562	248	36	>	>	X
ejpam-5562	248	37	0	0	NUM
ejpam-5562	248	38	.	.	PUNCT
ejpam-5562	249	1	hence	hence	ADV
ejpam-5562	249	2	,	,	PUNCT
ejpam-5562	249	3	we	we	PRON
ejpam-5562	249	4	have	have	VERB
ejpam-5562	249	5	∫	∫	PROPN
ejpam-5562	249	6	t	t	PROPN
ejpam-5562	249	7	0	0	NUM
ejpam-5562	249	8	|g(u)|du	|g(u)|du	NOUN
ejpam-5562	249	9	≤	≤	NUM
ejpam-5562	249	10	m	m	VERB
ejpam-5562	249	11	eαt	eαt	ADP
ejpam-5562	249	12	α	α	NOUN
ejpam-5562	249	13	.	.	PUNCT
ejpam-5562	250	1	thus	thus	ADV
ejpam-5562	250	2	we	we	PRON
ejpam-5562	250	3	can	can	AUX
ejpam-5562	250	4	write	write	VERB
ejpam-5562	250	5	|ψ(t)|	|ψ(t)|	NUM
ejpam-5562	250	6	≤	≤	NOUN
ejpam-5562	250	7	|l1(t)|+	|l1(t)|+	PROPN
ejpam-5562	250	8	l2(t	l2(t	PROPN
ejpam-5562	250	9	)	)	PUNCT
ejpam-5562	251	1	+	+	CCONJ
ejpam-5562	251	2	|a|	|a|	NUM
ejpam-5562	251	3	∫	∫	PROPN
ejpam-5562	251	4	t	t	PROPN
ejpam-5562	251	5	0	0	NUM
ejpam-5562	251	6	|ψ(u)|du+	|ψ(u)|du+	PROPN
ejpam-5562	251	7	m	m	VERB
ejpam-5562	251	8	eαt	eαt	ADP
ejpam-5562	251	9	α	α	X
ejpam-5562	251	10	.	.	PUNCT
ejpam-5562	252	1	(	(	PUNCT
ejpam-5562	252	2	8)	8)	NUM
ejpam-5562	252	3	using	use	VERB
ejpam-5562	252	4	the	the	DET
ejpam-5562	252	5	gronwall	gronwall	PROPN
ejpam-5562	252	6	’s	’s	PART
ejpam-5562	252	7	inequality	inequality	NOUN
ejpam-5562	252	8	,	,	PUNCT
ejpam-5562	252	9	we	we	PRON
ejpam-5562	252	10	get	get	VERB
ejpam-5562	252	11	|ψ(t)|	|ψ(t)|	NUM
ejpam-5562	252	12	≤	≤	NOUN
ejpam-5562	252	13	c1	c1	NOUN
ejpam-5562	252	14	+	+	PROPN
ejpam-5562	252	15	d1	d1	PROPN
ejpam-5562	252	16	+	+	CCONJ
ejpam-5562	252	17	m	m	VERB
ejpam-5562	252	18	eαt	eαt	ADP
ejpam-5562	252	19	α	α	PROPN
ejpam-5562	252	20	+	+	CCONJ
ejpam-5562	253	1	c2	c2	PROPN
ejpam-5562	253	2	+	+	SYM
ejpam-5562	253	3	d2	d2	PROPN
ejpam-5562	253	4	+	+	CCONJ
ejpam-5562	253	5	|a|ec1t+d1	|a|ec1t+d1	NOUN
ejpam-5562	253	6	t	t	NOUN
ejpam-5562	253	7	(	(	PUNCT
ejpam-5562	253	8	c1t+d1t+	c1t+d1t+	NOUN
ejpam-5562	253	9	m	m	AUX
ejpam-5562	253	10	α2	α2	ADJ
ejpam-5562	253	11	(	(	PUNCT
ejpam-5562	253	12	eαt	eαt	ADV
ejpam-5562	253	13	−	−	PROPN
ejpam-5562	253	14	1	1	NUM
ejpam-5562	253	15	)	)	PUNCT
ejpam-5562	253	16	)	)	PUNCT
ejpam-5562	253	17	,	,	PUNCT
ejpam-5562	253	18	g.	g.	PROPN
ejpam-5562	253	19	veerabathiran	veerabathiran	PROPN
ejpam-5562	253	20	,	,	PUNCT
ejpam-5562	253	21	g.	g.	PROPN
ejpam-5562	253	22	j.	j.	PROPN
ejpam-5562	253	23	kumar	kumar	PROPN
ejpam-5562	253	24	,	,	PUNCT
ejpam-5562	253	25	s.	s.	PROPN
ejpam-5562	253	26	donganont	donganont	PROPN
ejpam-5562	253	27	/	/	SYM
ejpam-5562	253	28	eur	eur	PROPN
ejpam-5562	253	29	.	.	PUNCT
ejpam-5562	254	1	j.	j.	PROPN
ejpam-5562	254	2	pure	pure	PROPN
ejpam-5562	254	3	appl	appl	PROPN
ejpam-5562	254	4	.	.	PROPN
ejpam-5562	254	5	math	math	PROPN
ejpam-5562	254	6	,	,	PUNCT
ejpam-5562	254	7	18	18	NUM
ejpam-5562	254	8	(	(	PUNCT
ejpam-5562	254	9	2	2	NUM
ejpam-5562	254	10	)	)	PUNCT
ejpam-5562	254	11	(	(	PUNCT
ejpam-5562	254	12	2025	2025	NUM
ejpam-5562	254	13	)	)	PUNCT
ejpam-5562	254	14	,	,	PUNCT
ejpam-5562	254	15	5562	5562	NUM
ejpam-5562	254	16	10	10	NUM
ejpam-5562	254	17	of	of	ADP
ejpam-5562	254	18	20	20	NUM
ejpam-5562	254	19	where	where	SCONJ
ejpam-5562	254	20	c1	c1	NOUN
ejpam-5562	254	21	,	,	PUNCT
ejpam-5562	254	22	d1	d1	PROPN
ejpam-5562	254	23	,	,	PUNCT
ejpam-5562	254	24	c2	c2	PROPN
ejpam-5562	254	25	,	,	PUNCT
ejpam-5562	254	26	d2	d2	PROPN
ejpam-5562	254	27	are	be	AUX
ejpam-5562	254	28	constants	constant	NOUN
ejpam-5562	254	29	given	give	VERB
ejpam-5562	254	30	as	as	ADP
ejpam-5562	254	31	c1	c1	PROPN
ejpam-5562	254	32	=	=	PROPN
ejpam-5562	254	33	|ϕ(0)|+	|ϕ(0)|+	PROPN
ejpam-5562	254	34	|b|	|b|	PROPN
ejpam-5562	254	35	∫	∫	PROPN
ejpam-5562	254	36	0	0	PUNCT
ejpam-5562	255	1	−τ1	−τ1	PROPN
ejpam-5562	255	2	|ϕ(t1)|dt1	|ϕ(t1)|dt1	NOUN
ejpam-5562	255	3	,	,	PUNCT
ejpam-5562	255	4	c2	c2	PROPN
ejpam-5562	255	5	=	=	PUNCT
ejpam-5562	255	6	|b|	|b|	PROPN
ejpam-5562	255	7	∫	∫	PROPN
ejpam-5562	255	8	t	t	PROPN
ejpam-5562	255	9	0	0	NUM
ejpam-5562	255	10	|ψ(t1)|dt1	|ψ(t1)|dt1	PROPN
ejpam-5562	255	11	,	,	PUNCT
ejpam-5562	255	12	d1	d1	PROPN
ejpam-5562	255	13	=	=	PUNCT
ejpam-5562	255	14	|c|	|c|	PROPN
ejpam-5562	255	15	∫	∫	PROPN
ejpam-5562	255	16	0	0	NUM
ejpam-5562	256	1	−τ2	−τ2	PROPN
ejpam-5562	256	2	|ϕ(t2)|dt2	|ϕ(t2)|dt2	NOUN
ejpam-5562	256	3	,	,	PUNCT
ejpam-5562	256	4	d2	d2	PROPN
ejpam-5562	256	5	=	=	PROPN
ejpam-5562	256	6	|c|	|c|	PROPN
ejpam-5562	256	7	∫	∫	PROPN
ejpam-5562	256	8	t	t	PROPN
ejpam-5562	256	9	0	0	NUM
ejpam-5562	256	10	|ψ(t2)|dt2	|ψ(t2)|dt2	PROPN
ejpam-5562	256	11	.	.	PUNCT
ejpam-5562	256	12	theorem	theorem	VERB
ejpam-5562	256	13	4	4	NUM
ejpam-5562	256	14	.	.	PUNCT
ejpam-5562	257	1	let	let	AUX
ejpam-5562	257	2	ϕ(t	ϕ(t	NUM
ejpam-5562	257	3	)	)	PUNCT
ejpam-5562	257	4	be	be	AUX
ejpam-5562	257	5	continuous	continuous	ADJ
ejpam-5562	257	6	on	on	ADP
ejpam-5562	257	7	[	[	X
ejpam-5562	257	8	−∞	−∞	NOUN
ejpam-5562	257	9	,	,	PUNCT
ejpam-5562	257	10	0	0	NUM
ejpam-5562	257	11	]	]	PUNCT
ejpam-5562	257	12	and	and	CCONJ
ejpam-5562	257	13	ψ(s	ψ(s	NUM
ejpam-5562	257	14	)	)	PUNCT
ejpam-5562	257	15	is	be	AUX
ejpam-5562	257	16	the	the	DET
ejpam-5562	257	17	laplace	laplace	NOUN
ejpam-5562	257	18	transformation	transformation	NOUN
ejpam-5562	257	19	of	of	ADP
ejpam-5562	257	20	ψ(t	ψ(t	PROPN
ejpam-5562	257	21	)	)	PUNCT
ejpam-5562	257	22	.	.	PUNCT
ejpam-5562	258	1	then	then	ADV
ejpam-5562	258	2	,	,	PUNCT
ejpam-5562	258	3	the	the	DET
ejpam-5562	258	4	exact	exact	ADJ
ejpam-5562	258	5	solution	solution	NOUN
ejpam-5562	258	6	of	of	ADP
ejpam-5562	258	7	(	(	PUNCT
ejpam-5562	258	8	1	1	NUM
ejpam-5562	258	9	)	)	PUNCT
ejpam-5562	258	10	(	(	PUNCT
ejpam-5562	258	11	2	2	X
ejpam-5562	258	12	)	)	PUNCT
ejpam-5562	258	13	is	be	AUX
ejpam-5562	258	14	ψ(t	ψ(t	PROPN
ejpam-5562	258	15	)	)	PUNCT
ejpam-5562	259	1	=	=	SYM
ejpam-5562	259	2	l−1	l−1	PROPN
ejpam-5562	259	3	[	[	PUNCT
ejpam-5562	259	4	g(s	g(s	NOUN
ejpam-5562	259	5	)	)	PUNCT
ejpam-5562	259	6	+	+	NUM
ejpam-5562	259	7	t	t	PROPN
ejpam-5562	259	8	(	(	PUNCT
ejpam-5562	259	9	s	s	NOUN
ejpam-5562	259	10	)	)	PUNCT
ejpam-5562	259	11	k(s	k(s	PROPN
ejpam-5562	259	12	)	)	PUNCT
ejpam-5562	259	13	]	]	PUNCT
ejpam-5562	259	14	,	,	PUNCT
ejpam-5562	259	15	where	where	SCONJ
ejpam-5562	259	16	t	t	PROPN
ejpam-5562	259	17	(	(	PUNCT
ejpam-5562	259	18	s	s	NOUN
ejpam-5562	259	19	)	)	PUNCT
ejpam-5562	259	20	=	=	SYM
ejpam-5562	259	21	ϕ(0	ϕ(0	PROPN
ejpam-5562	259	22	)	)	PUNCT
ejpam-5562	260	1	+	+	CCONJ
ejpam-5562	260	2	be−sτ1	be−sτ1	ADJ
ejpam-5562	260	3	∫	∫	NOUN
ejpam-5562	260	4	0	0	PUNCT
ejpam-5562	261	1	−τ1	−τ1	NOUN
ejpam-5562	261	2	e−sτ1ψ(t1)dt1	e−sτ1ψ(t1)dt1	X
ejpam-5562	261	3	+	+	PUNCT
ejpam-5562	261	4	ce−sτ2	ce−sτ2	X
ejpam-5562	261	5	∫	∫	PROPN
ejpam-5562	261	6	0	0	NUM
ejpam-5562	262	1	−τ2	−τ2	PROPN
ejpam-5562	262	2	e−sτ2ψ(t2)dt2	e−sτ2ψ(t2)dt2	PROPN
ejpam-5562	262	3	,	,	PUNCT
ejpam-5562	262	4	k(s	k(s	PROPN
ejpam-5562	262	5	)	)	PUNCT
ejpam-5562	263	1	=	=	SYM
ejpam-5562	263	2	s−	s−	PROPN
ejpam-5562	263	3	a−	a−	PROPN
ejpam-5562	263	4	be−sτ1	be−sτ1	NUM
ejpam-5562	263	5	−	−	NOUN
ejpam-5562	263	6	ce−sτ2	ce−sτ2	NOUN
ejpam-5562	263	7	.	.	PUNCT
ejpam-5562	264	1	proof	proof	NOUN
ejpam-5562	264	2	.	.	PUNCT
ejpam-5562	265	1	from	from	ADP
ejpam-5562	265	2	(	(	PUNCT
ejpam-5562	265	3	1	1	NUM
ejpam-5562	265	4	)	)	PUNCT
ejpam-5562	265	5	(	(	PUNCT
ejpam-5562	265	6	2	2	X
ejpam-5562	265	7	)	)	PUNCT
ejpam-5562	265	8	by	by	ADP
ejpam-5562	265	9	using	use	VERB
ejpam-5562	265	10	laplace	laplace	NOUN
ejpam-5562	265	11	transform	transform	NOUN
ejpam-5562	265	12	method	method	NOUN
ejpam-5562	265	13	l[ψ′(t)]−	l[ψ′(t)]−	PROPN
ejpam-5562	265	14	al[ψ(t)]−	al[ψ(t)]−	PROPN
ejpam-5562	265	15	bl[ψ(t−	bl[ψ(t−	PROPN
ejpam-5562	265	16	τ1)]−	τ1)]−	PROPN
ejpam-5562	265	17	cl[ψ(t−	cl[ψ(t−	PROPN
ejpam-5562	265	18	τ2	τ2	PROPN
ejpam-5562	265	19	)	)	PUNCT
ejpam-5562	265	20	]	]	PUNCT
ejpam-5562	265	21	,	,	PUNCT
ejpam-5562	265	22	(	(	PUNCT
ejpam-5562	265	23	9	9	X
ejpam-5562	265	24	)	)	PUNCT
ejpam-5562	265	25	l[ψ′(t	l[ψ′(t	PROPN
ejpam-5562	265	26	)	)	PUNCT
ejpam-5562	265	27	]	]	PUNCT
ejpam-5562	265	28	=	=	PUNCT
ejpam-5562	265	29	sψ(s)−	sψ(s)−	PROPN
ejpam-5562	265	30	ψ(0	ψ(0	PROPN
ejpam-5562	265	31	)	)	PUNCT
ejpam-5562	265	32	,	,	PUNCT
ejpam-5562	265	33	l[ψ(t	l[ψ(t	PROPN
ejpam-5562	265	34	)	)	PUNCT
ejpam-5562	265	35	]	]	PUNCT
ejpam-5562	265	36	=	=	SYM
ejpam-5562	265	37	ψ(s	ψ(s	PROPN
ejpam-5562	265	38	)	)	PUNCT
ejpam-5562	265	39	,	,	PUNCT
ejpam-5562	265	40	l[g(t	l[g(t	NOUN
ejpam-5562	265	41	)	)	PUNCT
ejpam-5562	265	42	]	]	PUNCT
ejpam-5562	265	43	=	=	SYM
ejpam-5562	265	44	g(s	g(s	PROPN
ejpam-5562	265	45	)	)	PUNCT
ejpam-5562	265	46	,	,	PUNCT
ejpam-5562	265	47	l[ψ(t−	l[ψ(t−	VERB
ejpam-5562	265	48	τi	τi	ADP
ejpam-5562	265	49	)	)	PUNCT
ejpam-5562	265	50	]	]	PUNCT
ejpam-5562	266	1	=	=	PUNCT
ejpam-5562	266	2	∫	∫	PROPN
ejpam-5562	267	1	∞	∞	PROPN
ejpam-5562	267	2	0	0	NUM
ejpam-5562	268	1	e−stψ(t−	e−stψ(t−	PROPN
ejpam-5562	268	2	τi)dt	τi)dt	PROPN
ejpam-5562	268	3	.	.	PUNCT
ejpam-5562	269	1	replacing	replace	VERB
ejpam-5562	269	2	integral	integral	ADJ
ejpam-5562	269	3	variable	variable	NOUN
ejpam-5562	269	4	by	by	ADP
ejpam-5562	269	5	t−	t−	PROPN
ejpam-5562	269	6	τi	τi	PROPN
ejpam-5562	269	7	=	=	SYM
ejpam-5562	269	8	ti	ti	NOUN
ejpam-5562	269	9	,	,	PUNCT
ejpam-5562	269	10	for	for	ADP
ejpam-5562	269	11	i	i	PROPN
ejpam-5562	269	12	=	=	SYM
ejpam-5562	269	13	1	1	NUM
ejpam-5562	269	14	,	,	PUNCT
ejpam-5562	269	15	2	2	NUM
ejpam-5562	269	16	,	,	PUNCT
ejpam-5562	269	17	.	.	PUNCT
ejpam-5562	269	18	.	.	PUNCT
ejpam-5562	270	1	.	.	PUNCT
ejpam-5562	271	1	,	,	PUNCT
ejpam-5562	271	2	n	n	CCONJ
ejpam-5562	271	3	(	(	PUNCT
ejpam-5562	271	4	n	n	PRON
ejpam-5562	271	5	delay	delay	NOUN
ejpam-5562	271	6	terms	term	NOUN
ejpam-5562	271	7	)	)	PUNCT
ejpam-5562	271	8	l[ψ(t−	l[ψ(t−	INTJ
ejpam-5562	271	9	τi	τi	ADP
ejpam-5562	271	10	)	)	PUNCT
ejpam-5562	271	11	]	]	PUNCT
ejpam-5562	272	1	=	=	PUNCT
ejpam-5562	272	2	e−sτi	e−sτi	VERB
ejpam-5562	272	3	∫	∫	PROPN
ejpam-5562	272	4	0	0	NUM
ejpam-5562	272	5	−τi	−τi	NOUN
ejpam-5562	272	6	e−sτiψ(ti)dti	e−sτiψ(ti)dti	PUNCT
ejpam-5562	272	7	+	+	CCONJ
ejpam-5562	272	8	e−sτi	e−sτi	NOUN
ejpam-5562	272	9	∫	∫	PROPN
ejpam-5562	272	10	∞	∞	PROPN
ejpam-5562	272	11	0	0	NUM
ejpam-5562	272	12	e−sτiψ(ti)dti	e−sτiψ(ti)dti	NUM
ejpam-5562	272	13	,	,	PUNCT
ejpam-5562	272	14	l[ψ(t−	l[ψ(t−	VERB
ejpam-5562	272	15	τi	τi	ADP
ejpam-5562	272	16	)	)	PUNCT
ejpam-5562	272	17	]	]	PUNCT
ejpam-5562	273	1	=	=	PUNCT
ejpam-5562	273	2	ϕi(s	ϕi(s	PUNCT
ejpam-5562	273	3	)	)	PUNCT
ejpam-5562	274	1	+	+	CCONJ
ejpam-5562	274	2	e−sτiψ(s	e−sτiψ(s	PROPN
ejpam-5562	274	3	)	)	PUNCT
ejpam-5562	274	4	.	.	PUNCT
ejpam-5562	275	1	we	we	PRON
ejpam-5562	275	2	can	can	AUX
ejpam-5562	275	3	write	write	VERB
ejpam-5562	275	4	equation	equation	NOUN
ejpam-5562	275	5	(	(	PUNCT
ejpam-5562	275	6	9	9	NUM
ejpam-5562	275	7	)	)	PUNCT
ejpam-5562	275	8	,	,	PUNCT
ejpam-5562	275	9	sψ(s)−	sψ(s)−	PROPN
ejpam-5562	275	10	ϕ(0)−	ϕ(0)−	PROPN
ejpam-5562	275	11	aψ(s)−	aψ(s)−	PROPN
ejpam-5562	275	12	b[ϕ1(s	b[ϕ1(s	PROPN
ejpam-5562	275	13	)	)	PUNCT
ejpam-5562	276	1	+	+	CCONJ
ejpam-5562	276	2	e−sτ1ψ(s)]−	e−sτ1ψ(s)]−	PROPN
ejpam-5562	276	3	c[ϕ2(s	c[ϕ2(s	NOUN
ejpam-5562	276	4	)	)	PUNCT
ejpam-5562	277	1	+	+	CCONJ
ejpam-5562	277	2	e−sτ2ψ(s	e−sτ2ψ(s	NUM
ejpam-5562	277	3	)	)	PUNCT
ejpam-5562	277	4	]	]	PUNCT
ejpam-5562	277	5	=	=	SYM
ejpam-5562	278	1	g(s	g(s	NOUN
ejpam-5562	278	2	)	)	PUNCT
ejpam-5562	278	3	,	,	PUNCT
ejpam-5562	279	1	[	[	X
ejpam-5562	279	2	s−	s−	NOUN
ejpam-5562	279	3	a−	a−	PROPN
ejpam-5562	279	4	be−sτ1	be−sτ1	NUM
ejpam-5562	279	5	−	−	NOUN
ejpam-5562	279	6	ce−sτ2	ce−sτ2	NOUN
ejpam-5562	279	7	]	]	X
ejpam-5562	279	8	ψ(s	ψ(s	NUM
ejpam-5562	279	9	)	)	PUNCT
ejpam-5562	279	10	=	=	SYM
ejpam-5562	279	11	g(s	g(s	PROPN
ejpam-5562	279	12	)	)	PUNCT
ejpam-5562	280	1	+	+	NUM
ejpam-5562	280	2	t	t	PROPN
ejpam-5562	280	3	(	(	PUNCT
ejpam-5562	280	4	s	s	NOUN
ejpam-5562	280	5	)	)	PUNCT
ejpam-5562	280	6	,	,	PUNCT
ejpam-5562	280	7	ψ(s	ψ(s	PROPN
ejpam-5562	280	8	)	)	PUNCT
ejpam-5562	281	1	=	=	PUNCT
ejpam-5562	281	2	[	[	PUNCT
ejpam-5562	281	3	g(s	g(s	NOUN
ejpam-5562	281	4	)	)	PUNCT
ejpam-5562	281	5	+	+	NUM
ejpam-5562	281	6	t	t	PROPN
ejpam-5562	281	7	(	(	PUNCT
ejpam-5562	281	8	s	s	NOUN
ejpam-5562	281	9	)	)	PUNCT
ejpam-5562	281	10	k(s	k(s	PROPN
ejpam-5562	281	11	)	)	PUNCT
ejpam-5562	281	12	]	]	PUNCT
ejpam-5562	281	13	.	.	PUNCT
ejpam-5562	282	1	g.	g.	PROPN
ejpam-5562	282	2	veerabathiran	veerabathiran	PROPN
ejpam-5562	282	3	,	,	PUNCT
ejpam-5562	282	4	g.	g.	PROPN
ejpam-5562	282	5	j.	j.	PROPN
ejpam-5562	282	6	kumar	kumar	PROPN
ejpam-5562	282	7	,	,	PUNCT
ejpam-5562	282	8	s.	s.	PROPN
ejpam-5562	282	9	donganont	donganont	PROPN
ejpam-5562	282	10	/	/	SYM
ejpam-5562	282	11	eur	eur	PROPN
ejpam-5562	282	12	.	.	PUNCT
ejpam-5562	283	1	j.	j.	PROPN
ejpam-5562	283	2	pure	pure	PROPN
ejpam-5562	283	3	appl	appl	PROPN
ejpam-5562	283	4	.	.	PROPN
ejpam-5562	283	5	math	math	PROPN
ejpam-5562	283	6	,	,	PUNCT
ejpam-5562	283	7	18	18	NUM
ejpam-5562	283	8	(	(	PUNCT
ejpam-5562	283	9	2	2	NUM
ejpam-5562	283	10	)	)	PUNCT
ejpam-5562	283	11	(	(	PUNCT
ejpam-5562	283	12	2025	2025	NUM
ejpam-5562	283	13	)	)	PUNCT
ejpam-5562	283	14	,	,	PUNCT
ejpam-5562	283	15	5562	5562	NUM
ejpam-5562	283	16	11	11	NUM
ejpam-5562	283	17	of	of	ADP
ejpam-5562	283	18	20	20	NUM
ejpam-5562	283	19	taking	take	VERB
ejpam-5562	283	20	laplace	laplace	NOUN
ejpam-5562	283	21	inverse	inverse	NOUN
ejpam-5562	283	22	on	on	ADP
ejpam-5562	283	23	both	both	DET
ejpam-5562	283	24	sides	side	NOUN
ejpam-5562	283	25	ψ(t	ψ(t	VERB
ejpam-5562	283	26	)	)	PUNCT
ejpam-5562	283	27	=	=	SYM
ejpam-5562	284	1	l−1	l−1	PROPN
ejpam-5562	284	2	[	[	PUNCT
ejpam-5562	284	3	g(s	g(s	NOUN
ejpam-5562	284	4	)	)	PUNCT
ejpam-5562	284	5	+	+	NUM
ejpam-5562	284	6	t	t	PROPN
ejpam-5562	284	7	(	(	PUNCT
ejpam-5562	284	8	s	s	NOUN
ejpam-5562	284	9	)	)	PUNCT
ejpam-5562	284	10	k(s	k(s	PROPN
ejpam-5562	284	11	)	)	PUNCT
ejpam-5562	284	12	]	]	PUNCT
ejpam-5562	284	13	.	.	PUNCT
ejpam-5562	285	1	which	which	PRON
ejpam-5562	285	2	is	be	AUX
ejpam-5562	285	3	the	the	DET
ejpam-5562	285	4	exact	exact	ADJ
ejpam-5562	285	5	solution	solution	NOUN
ejpam-5562	285	6	of	of	ADP
ejpam-5562	285	7	(	(	PUNCT
ejpam-5562	285	8	1	1	NUM
ejpam-5562	285	9	)	)	PUNCT
ejpam-5562	285	10	(	(	PUNCT
ejpam-5562	285	11	2	2	NUM
ejpam-5562	285	12	)	)	PUNCT
ejpam-5562	285	13	.	.	PUNCT
ejpam-5562	286	1	theorem	theorem	NOUN
ejpam-5562	286	2	5	5	NUM
ejpam-5562	286	3	.	.	PUNCT
ejpam-5562	287	1	let	let	AUX
ejpam-5562	287	2	ϕ(t	ϕ(t	NUM
ejpam-5562	287	3	)	)	PUNCT
ejpam-5562	287	4	be	be	AUX
ejpam-5562	287	5	continuous	continuous	ADJ
ejpam-5562	287	6	on	on	ADP
ejpam-5562	287	7	[	[	X
ejpam-5562	287	8	−∞	−∞	NOUN
ejpam-5562	287	9	,	,	PUNCT
ejpam-5562	287	10	0	0	NUM
ejpam-5562	287	11	]	]	PUNCT
ejpam-5562	287	12	and	and	CCONJ
ejpam-5562	287	13	ψ(s	ψ(s	NUM
ejpam-5562	287	14	)	)	PUNCT
ejpam-5562	287	15	is	be	AUX
ejpam-5562	287	16	the	the	DET
ejpam-5562	287	17	laplace	laplace	NOUN
ejpam-5562	287	18	transformation	transformation	NOUN
ejpam-5562	287	19	of	of	ADP
ejpam-5562	287	20	ψ(t	ψ(t	PROPN
ejpam-5562	287	21	)	)	PUNCT
ejpam-5562	287	22	.	.	PUNCT
ejpam-5562	288	1	then	then	ADV
ejpam-5562	288	2	,	,	PUNCT
ejpam-5562	288	3	the	the	DET
ejpam-5562	288	4	exact	exact	ADJ
ejpam-5562	288	5	solution	solution	NOUN
ejpam-5562	288	6	of	of	ADP
ejpam-5562	288	7	(	(	PUNCT
ejpam-5562	288	8	1	1	NUM
ejpam-5562	288	9	)	)	PUNCT
ejpam-5562	288	10	(	(	PUNCT
ejpam-5562	288	11	2	2	X
ejpam-5562	288	12	)	)	PUNCT
ejpam-5562	288	13	is	be	AUX
ejpam-5562	288	14	ψ(t	ψ(t	PROPN
ejpam-5562	288	15	)	)	PUNCT
ejpam-5562	289	1	=	=	SYM
ejpam-5562	289	2	l−1	l−1	PROPN
ejpam-5562	289	3	[	[	PUNCT
ejpam-5562	289	4	t	t	X
ejpam-5562	289	5	(	(	PUNCT
ejpam-5562	289	6	s	s	NOUN
ejpam-5562	289	7	)	)	PUNCT
ejpam-5562	289	8	k(s	k(s	PROPN
ejpam-5562	289	9	)	)	PUNCT
ejpam-5562	289	10	]	]	PUNCT
ejpam-5562	289	11	,	,	PUNCT
ejpam-5562	289	12	(	(	PUNCT
ejpam-5562	289	13	g(t	g(t	PROPN
ejpam-5562	289	14	)	)	PUNCT
ejpam-5562	289	15	=	=	PUNCT
ejpam-5562	289	16	0	0	NUM
ejpam-5562	289	17	)	)	PUNCT
ejpam-5562	289	18	,	,	PUNCT
ejpam-5562	289	19	where	where	SCONJ
ejpam-5562	289	20	t	t	PROPN
ejpam-5562	289	21	(	(	PUNCT
ejpam-5562	289	22	s	s	X
ejpam-5562	289	23	)	)	PUNCT
ejpam-5562	289	24	=	=	SYM
ejpam-5562	289	25	1	1	NUM
ejpam-5562	289	26	+	+	NUM
ejpam-5562	289	27	1	1	NUM
ejpam-5562	289	28	k	k	NOUN
ejpam-5562	289	29	−	−	PROPN
ejpam-5562	289	30	s	s	PART
ejpam-5562	290	1	[	[	X
ejpam-5562	290	2	be−sτ1	be−sτ1	X
ejpam-5562	290	3	+	+	X
ejpam-5562	290	4	ce−sτ2	ce−sτ2	X
ejpam-5562	291	1	]	]	X
ejpam-5562	291	2	−	−	PROPN
ejpam-5562	291	3	1	1	NUM
ejpam-5562	292	1	k	k	NOUN
ejpam-5562	292	2	−	−	PROPN
ejpam-5562	292	3	s	s	PART
ejpam-5562	293	1	[	[	X
ejpam-5562	293	2	be	be	AUX
ejpam-5562	293	3	−kτ1	−kτ1	NOUN
ejpam-5562	293	4	+	+	CCONJ
ejpam-5562	293	5	ce−kτ2	ce−kτ2	NOUN
ejpam-5562	293	6	]	]	PUNCT
ejpam-5562	293	7	,	,	PUNCT
ejpam-5562	293	8	k(s	k(s	PROPN
ejpam-5562	293	9	)	)	PUNCT
ejpam-5562	294	1	=	=	SYM
ejpam-5562	294	2	s−	s−	PROPN
ejpam-5562	294	3	a−	a−	PROPN
ejpam-5562	294	4	be−sτ1	be−sτ1	NUM
ejpam-5562	294	5	−	−	PROPN
ejpam-5562	294	6	ce	ce	PROPN
ejpam-5562	294	7	−sτ2	−sτ2	PROPN
ejpam-5562	294	8	.	.	PUNCT
ejpam-5562	295	1	proof	proof	NOUN
ejpam-5562	295	2	.	.	PUNCT
ejpam-5562	296	1	consider	consider	VERB
ejpam-5562	296	2	(	(	PUNCT
ejpam-5562	296	3	1	1	NUM
ejpam-5562	296	4	)	)	PUNCT
ejpam-5562	296	5	(	(	PUNCT
ejpam-5562	296	6	2	2	NUM
ejpam-5562	296	7	)	)	PUNCT
ejpam-5562	296	8	.	.	PUNCT
ejpam-5562	297	1	when	when	SCONJ
ejpam-5562	297	2	t	t	PROPN
ejpam-5562	297	3	≤	≤	NOUN
ejpam-5562	297	4	0	0	NUM
ejpam-5562	297	5	,	,	PUNCT
ejpam-5562	297	6	we	we	PRON
ejpam-5562	297	7	have	have	VERB
ejpam-5562	297	8	ψ′(t	ψ′(t	NOUN
ejpam-5562	297	9	)	)	PUNCT
ejpam-5562	297	10	=	=	NOUN
ejpam-5562	297	11	aψ(t	aψ(t	X
ejpam-5562	297	12	)	)	PUNCT
ejpam-5562	298	1	+	+	CCONJ
ejpam-5562	298	2	bψ(t	bψ(t	NOUN
ejpam-5562	298	3	)	)	PUNCT
ejpam-5562	299	1	+	+	CCONJ
ejpam-5562	299	2	cψ(t	cψ(t	NUM
ejpam-5562	299	3	)	)	PUNCT
ejpam-5562	299	4	.	.	PUNCT
ejpam-5562	300	1	then	then	ADV
ejpam-5562	300	2	ψ(t	ψ(t	VERB
ejpam-5562	300	3	)	)	PUNCT
ejpam-5562	300	4	=	=	SYM
ejpam-5562	300	5	ekt	ekt	PROPN
ejpam-5562	300	6	,	,	PUNCT
ejpam-5562	300	7	k	k	NOUN
ejpam-5562	300	8	=	=	X
ejpam-5562	300	9	a+	a+	X
ejpam-5562	300	10	b+	b+	X
ejpam-5562	300	11	c.	c.	NOUN
ejpam-5562	300	12	taking	take	VERB
ejpam-5562	300	13	log	log	NOUN
ejpam-5562	300	14	on	on	ADP
ejpam-5562	300	15	both	both	DET
ejpam-5562	300	16	sides	side	NOUN
ejpam-5562	300	17	,	,	PUNCT
ejpam-5562	300	18	we	we	PRON
ejpam-5562	300	19	obtain	obtain	VERB
ejpam-5562	300	20	ψ	ψ	X
ejpam-5562	300	21	=	=	PROPN
ejpam-5562	300	22	ekt+k1	ekt+k1	PROPN
ejpam-5562	300	23	.	.	PUNCT
ejpam-5562	301	1	from	from	ADP
ejpam-5562	301	2	(	(	PUNCT
ejpam-5562	301	3	1	1	NUM
ejpam-5562	301	4	)	)	PUNCT
ejpam-5562	301	5	(	(	PUNCT
ejpam-5562	301	6	2	2	X
ejpam-5562	301	7	)	)	PUNCT
ejpam-5562	301	8	by	by	ADP
ejpam-5562	301	9	using	use	VERB
ejpam-5562	301	10	laplace	laplace	NOUN
ejpam-5562	301	11	transform	transform	NOUN
ejpam-5562	301	12	method	method	NOUN
ejpam-5562	301	13	l[ψ′(t)]−	l[ψ′(t)]−	PROPN
ejpam-5562	301	14	al[ψ(t)]−	al[ψ(t)]−	PROPN
ejpam-5562	301	15	bl[ψ(t−	bl[ψ(t−	PROPN
ejpam-5562	301	16	τ1)]−	τ1)]−	PROPN
ejpam-5562	301	17	cl[ψ(t−	cl[ψ(t−	PROPN
ejpam-5562	301	18	τ2	τ2	PROPN
ejpam-5562	301	19	)	)	PUNCT
ejpam-5562	301	20	]	]	PUNCT
ejpam-5562	301	21	=	=	PUNCT
ejpam-5562	301	22	0	0	NUM
ejpam-5562	301	23	,	,	PUNCT
ejpam-5562	301	24	(	(	PUNCT
ejpam-5562	301	25	10	10	NUM
ejpam-5562	301	26	)	)	PUNCT
ejpam-5562	301	27	l[ψ′(t	l[ψ′(t	PROPN
ejpam-5562	301	28	)	)	PUNCT
ejpam-5562	301	29	]	]	PUNCT
ejpam-5562	301	30	=	=	PUNCT
ejpam-5562	301	31	sψ(s)−	sψ(s)−	PROPN
ejpam-5562	301	32	ψ(0	ψ(0	PROPN
ejpam-5562	301	33	)	)	PUNCT
ejpam-5562	301	34	,	,	PUNCT
ejpam-5562	301	35	l[ψ(t	l[ψ(t	PROPN
ejpam-5562	301	36	)	)	PUNCT
ejpam-5562	301	37	]	]	PUNCT
ejpam-5562	301	38	=	=	SYM
ejpam-5562	301	39	ψ(s	ψ(s	PROPN
ejpam-5562	301	40	)	)	PUNCT
ejpam-5562	301	41	,	,	PUNCT
ejpam-5562	301	42	l[ψ(t−	l[ψ(t−	VERB
ejpam-5562	301	43	τi	τi	ADP
ejpam-5562	301	44	)	)	PUNCT
ejpam-5562	301	45	]	]	PUNCT
ejpam-5562	302	1	=	=	PUNCT
ejpam-5562	302	2	∫	∫	PROPN
ejpam-5562	303	1	∞	∞	PROPN
ejpam-5562	303	2	0	0	NUM
ejpam-5562	304	1	e−stψ(t−	e−stψ(t−	PROPN
ejpam-5562	304	2	τi)dt	τi)dt	PROPN
ejpam-5562	304	3	.	.	PUNCT
ejpam-5562	305	1	replacing	replace	VERB
ejpam-5562	305	2	integral	integral	ADJ
ejpam-5562	305	3	variable	variable	NOUN
ejpam-5562	305	4	by	by	ADP
ejpam-5562	305	5	t−	t−	PROPN
ejpam-5562	305	6	τi	τi	PROPN
ejpam-5562	305	7	=	=	SYM
ejpam-5562	305	8	ti	ti	NOUN
ejpam-5562	305	9	,	,	PUNCT
ejpam-5562	305	10	for	for	ADP
ejpam-5562	305	11	i	i	PROPN
ejpam-5562	305	12	=	=	SYM
ejpam-5562	305	13	1	1	NUM
ejpam-5562	305	14	,	,	PUNCT
ejpam-5562	305	15	2	2	NUM
ejpam-5562	305	16	,	,	PUNCT
ejpam-5562	305	17	.	.	PUNCT
ejpam-5562	305	18	.	.	PUNCT
ejpam-5562	306	1	.	.	PUNCT
ejpam-5562	307	1	,	,	PUNCT
ejpam-5562	307	2	n	n	X
ejpam-5562	307	3	(	(	PUNCT
ejpam-5562	307	4	n	n	PRON
ejpam-5562	307	5	delay	delay	VERB
ejpam-5562	307	6	terms	term	NOUN
ejpam-5562	307	7	)	)	PUNCT
ejpam-5562	307	8	l[ψ(t−	l[ψ(t−	INTJ
ejpam-5562	307	9	τi	τi	ADP
ejpam-5562	307	10	)	)	PUNCT
ejpam-5562	307	11	]	]	PUNCT
ejpam-5562	308	1	=	=	PUNCT
ejpam-5562	308	2	e−sτi	e−sτi	VERB
ejpam-5562	308	3	∫	∫	PROPN
ejpam-5562	308	4	0	0	NUM
ejpam-5562	308	5	−τi	−τi	NOUN
ejpam-5562	308	6	e−sτiψ(ti)dti	e−sτiψ(ti)dti	PUNCT
ejpam-5562	308	7	+	+	CCONJ
ejpam-5562	308	8	e−si	e−si	PROPN
ejpam-5562	308	9	∫	∫	PROPN
ejpam-5562	308	10	∞	∞	PROPN
ejpam-5562	308	11	0	0	NUM
ejpam-5562	308	12	e−sτiψ(ti)dti	e−sτiψ(ti)dti	NUM
ejpam-5562	308	13	,	,	PUNCT
ejpam-5562	308	14	l[ψ(t−	l[ψ(t−	NOUN
ejpam-5562	308	15	τ1	τ1	NOUN
ejpam-5562	308	16	)	)	PUNCT
ejpam-5562	308	17	]	]	PUNCT
ejpam-5562	309	1	=	=	PUNCT
ejpam-5562	309	2	ϕ1(s	ϕ1(s	ADJ
ejpam-5562	309	3	)	)	PUNCT
ejpam-5562	309	4	+	+	CCONJ
ejpam-5562	309	5	e−sτ1ψ(s	e−sτ1ψ(s	NUM
ejpam-5562	309	6	)	)	PUNCT
ejpam-5562	309	7	,	,	PUNCT
ejpam-5562	309	8	where	where	SCONJ
ejpam-5562	309	9	ϕ1(s	ϕ1(s	ADP
ejpam-5562	309	10	)	)	PUNCT
ejpam-5562	309	11	=	=	PUNCT
ejpam-5562	310	1	e−sτ1	e−sτ1	PROPN
ejpam-5562	310	2	∫	∫	PROPN
ejpam-5562	310	3	0	0	NUM
ejpam-5562	311	1	−τ1	−τ1	PROPN
ejpam-5562	311	2	e−sτ1ψ(t1)dt1	e−sτ1ψ(t1)dt1	PROPN
ejpam-5562	311	3	,	,	PUNCT
ejpam-5562	311	4	ϕ1(s	ϕ1(s	NOUN
ejpam-5562	311	5	)	)	PUNCT
ejpam-5562	311	6	=	=	SYM
ejpam-5562	311	7	1	1	NUM
ejpam-5562	311	8	k	k	NOUN
ejpam-5562	311	9	−	−	PROPN
ejpam-5562	311	10	s	s	PART
ejpam-5562	312	1	[	[	X
ejpam-5562	312	2	e−sτ1	e−sτ1	NOUN
ejpam-5562	312	3	−	−	PROPN
ejpam-5562	312	4	e−kτ1	e−kτ1	VERB
ejpam-5562	312	5	]	]	PUNCT
ejpam-5562	312	6	.	.	PUNCT
ejpam-5562	313	1	g.	g.	PROPN
ejpam-5562	313	2	veerabathiran	veerabathiran	PROPN
ejpam-5562	313	3	,	,	PUNCT
ejpam-5562	313	4	g.	g.	PROPN
ejpam-5562	313	5	j.	j.	PROPN
ejpam-5562	313	6	kumar	kumar	PROPN
ejpam-5562	313	7	,	,	PUNCT
ejpam-5562	313	8	s.	s.	PROPN
ejpam-5562	313	9	donganont	donganont	PROPN
ejpam-5562	313	10	/	/	SYM
ejpam-5562	313	11	eur	eur	PROPN
ejpam-5562	313	12	.	.	PUNCT
ejpam-5562	314	1	j.	j.	PROPN
ejpam-5562	314	2	pure	pure	PROPN
ejpam-5562	314	3	appl	appl	PROPN
ejpam-5562	314	4	.	.	PROPN
ejpam-5562	314	5	math	math	PROPN
ejpam-5562	314	6	,	,	PUNCT
ejpam-5562	314	7	18	18	NUM
ejpam-5562	314	8	(	(	PUNCT
ejpam-5562	314	9	2	2	NUM
ejpam-5562	314	10	)	)	PUNCT
ejpam-5562	314	11	(	(	PUNCT
ejpam-5562	314	12	2025	2025	NUM
ejpam-5562	314	13	)	)	PUNCT
ejpam-5562	314	14	,	,	PUNCT
ejpam-5562	314	15	5562	5562	NUM
ejpam-5562	314	16	12	12	NUM
ejpam-5562	314	17	of	of	ADP
ejpam-5562	314	18	20	20	NUM
ejpam-5562	314	19	similarly	similarly	ADV
ejpam-5562	314	20	l[ψ(t−	l[ψ(t−	X
ejpam-5562	314	21	τ2	τ2	ADJ
ejpam-5562	314	22	)	)	PUNCT
ejpam-5562	314	23	]	]	PUNCT
ejpam-5562	315	1	=	=	PUNCT
ejpam-5562	315	2	ϕ2(s	ϕ2(s	NOUN
ejpam-5562	315	3	)	)	PUNCT
ejpam-5562	316	1	+	+	CCONJ
ejpam-5562	316	2	e−sτ2ψ(s	e−sτ2ψ(s	NOUN
ejpam-5562	316	3	)	)	PUNCT
ejpam-5562	316	4	,	,	PUNCT
ejpam-5562	316	5	where	where	SCONJ
ejpam-5562	316	6	ϕ2(s	ϕ2(s	NOUN
ejpam-5562	316	7	)	)	PUNCT
ejpam-5562	316	8	=	=	SYM
ejpam-5562	317	1	e−sτ2	e−sτ2	PROPN
ejpam-5562	317	2	∫	∫	PROPN
ejpam-5562	317	3	0	0	NUM
ejpam-5562	318	1	−τ2	−τ2	PROPN
ejpam-5562	318	2	e−sτ2ψ(t2)dt2	e−sτ2ψ(t2)dt2	PROPN
ejpam-5562	318	3	,	,	PUNCT
ejpam-5562	318	4	ϕ2(s	ϕ2(s	NOUN
ejpam-5562	318	5	)	)	PUNCT
ejpam-5562	318	6	=	=	SYM
ejpam-5562	319	1	1	1	NUM
ejpam-5562	319	2	k	k	NOUN
ejpam-5562	319	3	−	−	PROPN
ejpam-5562	319	4	s	s	PART
ejpam-5562	319	5	[	[	PUNCT
ejpam-5562	319	6	e−sτ2	e−sτ2	NOUN
ejpam-5562	319	7	−	−	NOUN
ejpam-5562	319	8	e−kτ2	e−kτ2	PROPN
ejpam-5562	319	9	]	]	PUNCT
ejpam-5562	319	10	.	.	PUNCT
ejpam-5562	320	1	we	we	PRON
ejpam-5562	320	2	can	can	AUX
ejpam-5562	320	3	write	write	VERB
ejpam-5562	320	4	equation	equation	NOUN
ejpam-5562	320	5	(	(	PUNCT
ejpam-5562	320	6	10	10	NUM
ejpam-5562	320	7	)	)	PUNCT
ejpam-5562	320	8	as	as	SCONJ
ejpam-5562	320	9	follows	follow	VERB
ejpam-5562	320	10	:	:	PUNCT
ejpam-5562	320	11	sψ(s)−	sψ(s)−	PROPN
ejpam-5562	320	12	1−	1−	NUM
ejpam-5562	320	13	aψ(s)−	aψ(s)−	PROPN
ejpam-5562	320	14	b[ϕ1(s	b[ϕ1(	NOUN
ejpam-5562	320	15	)	)	PUNCT
ejpam-5562	321	1	+	+	CCONJ
ejpam-5562	321	2	e−sτ1ψ(s)]−	e−sτ1ψ(s)]−	PROPN
ejpam-5562	321	3	c[ϕ2(s	c[ϕ2(s	NOUN
ejpam-5562	321	4	)	)	PUNCT
ejpam-5562	322	1	+	+	CCONJ
ejpam-5562	322	2	e−sτ2ψ(s	e−sτ2ψ(s	NUM
ejpam-5562	322	3	)	)	PUNCT
ejpam-5562	322	4	]	]	PUNCT
ejpam-5562	323	1	=	=	PUNCT
ejpam-5562	323	2	0	0	NUM
ejpam-5562	323	3	,	,	PUNCT
ejpam-5562	323	4	[	[	X
ejpam-5562	323	5	s−	s−	NOUN
ejpam-5562	323	6	a−	a−	PROPN
ejpam-5562	323	7	be−sτ1	be−sτ1	NUM
ejpam-5562	323	8	−	−	NOUN
ejpam-5562	323	9	ce−sτ2	ce−sτ2	NOUN
ejpam-5562	323	10	]	]	X
ejpam-5562	323	11	ψ(s	ψ(s	NUM
ejpam-5562	323	12	)	)	PUNCT
ejpam-5562	324	1	=	=	SYM
ejpam-5562	324	2	t	t	PROPN
ejpam-5562	324	3	(	(	PUNCT
ejpam-5562	324	4	s	s	NOUN
ejpam-5562	324	5	)	)	PUNCT
ejpam-5562	324	6	,	,	PUNCT
ejpam-5562	324	7	(	(	PUNCT
ejpam-5562	324	8	11	11	NUM
ejpam-5562	324	9	)	)	PUNCT
ejpam-5562	324	10	ψ(s	ψ(s	PROPN
ejpam-5562	324	11	)	)	PUNCT
ejpam-5562	325	1	=	=	SYM
ejpam-5562	325	2	t	t	PROPN
ejpam-5562	325	3	(	(	PUNCT
ejpam-5562	325	4	s	s	NOUN
ejpam-5562	325	5	)	)	PUNCT
ejpam-5562	325	6	k(s	k(s	PROPN
ejpam-5562	325	7	)	)	PUNCT
ejpam-5562	325	8	.	.	PUNCT
ejpam-5562	326	1	taking	take	VERB
ejpam-5562	326	2	laplace	laplace	NOUN
ejpam-5562	326	3	inverse	inverse	NOUN
ejpam-5562	326	4	on	on	ADP
ejpam-5562	326	5	both	both	DET
ejpam-5562	326	6	sides	side	NOUN
ejpam-5562	326	7	ψ(t	ψ(t	VERB
ejpam-5562	326	8	)	)	PUNCT
ejpam-5562	327	1	=	=	SYM
ejpam-5562	327	2	l−1	l−1	PROPN
ejpam-5562	327	3	[	[	PUNCT
ejpam-5562	327	4	t	t	X
ejpam-5562	327	5	(	(	PUNCT
ejpam-5562	327	6	s	s	NOUN
ejpam-5562	327	7	)	)	PUNCT
ejpam-5562	327	8	k(s	k(s	PROPN
ejpam-5562	327	9	)	)	PUNCT
ejpam-5562	327	10	]	]	PUNCT
ejpam-5562	327	11	.	.	PUNCT
ejpam-5562	328	1	which	which	PRON
ejpam-5562	328	2	is	be	AUX
ejpam-5562	328	3	the	the	DET
ejpam-5562	328	4	exact	exact	ADJ
ejpam-5562	328	5	solution	solution	NOUN
ejpam-5562	328	6	of	of	ADP
ejpam-5562	328	7	(	(	PUNCT
ejpam-5562	328	8	1	1	NUM
ejpam-5562	328	9	)	)	PUNCT
ejpam-5562	328	10	(	(	PUNCT
ejpam-5562	328	11	2	2	NUM
ejpam-5562	328	12	)	)	PUNCT
ejpam-5562	328	13	.	.	PUNCT
ejpam-5562	329	1	4	4	X
ejpam-5562	329	2	.	.	NOUN
ejpam-5562	329	3	results	result	NOUN
ejpam-5562	329	4	and	and	CCONJ
ejpam-5562	329	5	discussion	discussion	NOUN
ejpam-5562	329	6	consider	consider	VERB
ejpam-5562	329	7	the	the	DET
ejpam-5562	329	8	multi	multi	X
ejpam-5562	329	9	dde	dde	PROPN
ejpam-5562	329	10	of	of	ADP
ejpam-5562	329	11	parkinson	parkinson	NOUN
ejpam-5562	329	12	’s	’s	PART
ejpam-5562	329	13	disease	disease	NOUN
ejpam-5562	329	14	model	model	NOUN
ejpam-5562	329	15	,	,	PUNCT
ejpam-5562	329	16	ψ′(t)−	ψ′(t)−	PROPN
ejpam-5562	329	17	c1ψ(t)−	c1ψ(t)−	PROPN
ejpam-5562	329	18	c2ψ(t−	c2ψ(t−	PROPN
ejpam-5562	329	19	τ1)−	τ1)−	PROPN
ejpam-5562	329	20	c3ψ(t−	c3ψ(t−	PROPN
ejpam-5562	329	21	τ2	τ2	NOUN
ejpam-5562	329	22	)	)	PUNCT
ejpam-5562	329	23	=	=	SYM
ejpam-5562	330	1	0	0	X
ejpam-5562	330	2	.	.	PUNCT
ejpam-5562	331	1	(	(	PUNCT
ejpam-5562	331	2	12	12	NUM
ejpam-5562	331	3	)	)	PUNCT
ejpam-5562	331	4	applying	apply	VERB
ejpam-5562	331	5	laplace	laplace	NOUN
ejpam-5562	331	6	transform	transform	NOUN
ejpam-5562	331	7	and	and	CCONJ
ejpam-5562	331	8	using	use	VERB
ejpam-5562	331	9	theorem	theorem	NOUN
ejpam-5562	331	10	(	(	PUNCT
ejpam-5562	331	11	3	3	NUM
ejpam-5562	331	12	)	)	PUNCT
ejpam-5562	331	13	,	,	PUNCT
ejpam-5562	331	14	we	we	PRON
ejpam-5562	331	15	have	have	VERB
ejpam-5562	331	16	ψ(s	ψ(s	PROPN
ejpam-5562	331	17	)	)	PUNCT
ejpam-5562	332	1	=	=	PUNCT
ejpam-5562	332	2	ψ(0	ψ(0	NOUN
ejpam-5562	332	3	)	)	PUNCT
ejpam-5562	332	4	s−	s−	PROPN
ejpam-5562	332	5	c1	c1	PROPN
ejpam-5562	332	6	−	−	PROPN
ejpam-5562	332	7	c2e−sτ1	c2e−sτ1	PROPN
ejpam-5562	332	8	−	−	PROPN
ejpam-5562	332	9	c3e−sτ2	c3e−sτ2	PROPN
ejpam-5562	332	10	.	.	PUNCT
ejpam-5562	333	1	(	(	PUNCT
ejpam-5562	333	2	13	13	X
ejpam-5562	333	3	)	)	PUNCT
ejpam-5562	333	4	applying	apply	VERB
ejpam-5562	333	5	inverse	inverse	NOUN
ejpam-5562	333	6	laplace	laplace	NOUN
ejpam-5562	333	7	transform	transform	NOUN
ejpam-5562	333	8	,	,	PUNCT
ejpam-5562	333	9	we	we	PRON
ejpam-5562	333	10	obtain	obtain	VERB
ejpam-5562	333	11	the	the	DET
ejpam-5562	333	12	solution	solution	NOUN
ejpam-5562	333	13	ψ(t	ψ(t	PROPN
ejpam-5562	333	14	)	)	PUNCT
ejpam-5562	333	15	=	=	SYM
ejpam-5562	333	16	l−1	l−1	PROPN
ejpam-5562	333	17	[	[	PUNCT
ejpam-5562	333	18	ψ(0	ψ(0	NOUN
ejpam-5562	333	19	)	)	PUNCT
ejpam-5562	333	20	s−	s−	PROPN
ejpam-5562	333	21	c1	c1	PROPN
ejpam-5562	333	22	−	−	PROPN
ejpam-5562	333	23	c2e−sτ1	c2e−sτ1	PROPN
ejpam-5562	333	24	−	−	PROPN
ejpam-5562	333	25	c3e−sτ2	c3e−sτ2	PROPN
ejpam-5562	333	26	]	]	PUNCT
ejpam-5562	333	27	.	.	PUNCT
ejpam-5562	334	1	case	case	NOUN
ejpam-5562	334	2	1	1	NUM
ejpam-5562	334	3	:	:	PUNCT
ejpam-5562	334	4	let	let	VERB
ejpam-5562	334	5	c1	c1	PROPN
ejpam-5562	334	6	=	=	PROPN
ejpam-5562	334	7	−0.6	−0.6	PROPN
ejpam-5562	334	8	,	,	PUNCT
ejpam-5562	334	9	c2	c2	PROPN
ejpam-5562	334	10	=	=	PUNCT
ejpam-5562	334	11	0.4	0.4	NUM
ejpam-5562	334	12	,	,	PUNCT
ejpam-5562	334	13	c3	c3	NOUN
ejpam-5562	334	14	=	=	PUNCT
ejpam-5562	334	15	0.3	0.3	NUM
ejpam-5562	334	16	,	,	PUNCT
ejpam-5562	334	17	ψ(0	ψ(0	NOUN
ejpam-5562	334	18	)	)	PUNCT
ejpam-5562	334	19	=	=	SYM
ejpam-5562	334	20	0.5	0.5	NUM
ejpam-5562	334	21	,	,	PUNCT
ejpam-5562	334	22	τ1	τ1	NOUN
ejpam-5562	334	23	=	=	SYM
ejpam-5562	334	24	0.1	0.1	NUM
ejpam-5562	334	25	,	,	PUNCT
ejpam-5562	334	26	τ2	τ2	NOUN
ejpam-5562	334	27	=	=	ADJ
ejpam-5562	334	28	0.2	0.2	NUM
ejpam-5562	334	29	.	.	PUNCT
ejpam-5562	335	1	then	then	ADV
ejpam-5562	335	2	the	the	DET
ejpam-5562	335	3	solution	solution	NOUN
ejpam-5562	335	4	ψ(t	ψ(t	PROPN
ejpam-5562	335	5	)	)	PUNCT
ejpam-5562	335	6	converges	converge	VERB
ejpam-5562	335	7	to	to	ADP
ejpam-5562	335	8	0	0	NUM
ejpam-5562	335	9	as	as	SCONJ
ejpam-5562	335	10	t	t	PROPN
ejpam-5562	335	11	tends	tend	VERB
ejpam-5562	335	12	to	to	PART
ejpam-5562	335	13	infinity	infinity	VERB
ejpam-5562	335	14	.	.	PUNCT
ejpam-5562	336	1	hence	hence	ADV
ejpam-5562	336	2	,	,	PUNCT
ejpam-5562	336	3	the	the	DET
ejpam-5562	336	4	dde	dde	PROPN
ejpam-5562	336	5	is	be	AUX
ejpam-5562	336	6	asymptotically	asymptotically	ADV
ejpam-5562	336	7	stable	stable	ADJ
ejpam-5562	336	8	.	.	PUNCT
ejpam-5562	337	1	case	case	NOUN
ejpam-5562	337	2	2	2	NUM
ejpam-5562	337	3	:	:	PUNCT
ejpam-5562	337	4	let	let	VERB
ejpam-5562	337	5	c1	c1	PROPN
ejpam-5562	337	6	=	=	PROPN
ejpam-5562	337	7	−0.6	−0.6	PROPN
ejpam-5562	337	8	,	,	PUNCT
ejpam-5562	337	9	c2	c2	PROPN
ejpam-5562	337	10	=	=	PUNCT
ejpam-5562	337	11	0.4	0.4	NUM
ejpam-5562	337	12	,	,	PUNCT
ejpam-5562	337	13	c3	c3	X
ejpam-5562	337	14	=	=	SYM
ejpam-5562	337	15	−0.1	−0.1	PROPN
ejpam-5562	337	16	,	,	PUNCT
ejpam-5562	337	17	ψ(0	ψ(0	PROPN
ejpam-5562	337	18	)	)	PUNCT
ejpam-5562	337	19	=	=	SYM
ejpam-5562	337	20	0.5	0.5	NUM
ejpam-5562	337	21	,	,	PUNCT
ejpam-5562	337	22	τ1	τ1	NOUN
ejpam-5562	337	23	=	=	SYM
ejpam-5562	337	24	0.1	0.1	NUM
ejpam-5562	337	25	,	,	PUNCT
ejpam-5562	337	26	τ2	τ2	NOUN
ejpam-5562	337	27	=	=	ADJ
ejpam-5562	337	28	0.2	0.2	NUM
ejpam-5562	337	29	.	.	PUNCT
ejpam-5562	338	1	then	then	ADV
ejpam-5562	338	2	the	the	DET
ejpam-5562	338	3	solution	solution	NOUN
ejpam-5562	338	4	ψ(t	ψ(t	PROPN
ejpam-5562	338	5	)	)	PUNCT
ejpam-5562	338	6	converges	converge	VERB
ejpam-5562	338	7	to	to	ADP
ejpam-5562	338	8	0	0	NUM
ejpam-5562	338	9	as	as	SCONJ
ejpam-5562	338	10	t	t	PROPN
ejpam-5562	338	11	tends	tend	VERB
ejpam-5562	338	12	to	to	PART
ejpam-5562	338	13	infinity	infinity	VERB
ejpam-5562	338	14	.	.	PUNCT
ejpam-5562	339	1	hence	hence	ADV
ejpam-5562	339	2	,	,	PUNCT
ejpam-5562	339	3	the	the	DET
ejpam-5562	339	4	dde	dde	PROPN
ejpam-5562	339	5	is	be	AUX
ejpam-5562	339	6	asymptotically	asymptotically	ADV
ejpam-5562	339	7	stable	stable	ADJ
ejpam-5562	339	8	.	.	PUNCT
ejpam-5562	340	1	g.	g.	PROPN
ejpam-5562	340	2	veerabathiran	veerabathiran	PROPN
ejpam-5562	340	3	,	,	PUNCT
ejpam-5562	340	4	g.	g.	PROPN
ejpam-5562	340	5	j.	j.	PROPN
ejpam-5562	340	6	kumar	kumar	PROPN
ejpam-5562	340	7	,	,	PUNCT
ejpam-5562	340	8	s.	s.	PROPN
ejpam-5562	340	9	donganont	donganont	PROPN
ejpam-5562	340	10	/	/	SYM
ejpam-5562	340	11	eur	eur	PROPN
ejpam-5562	340	12	.	.	PUNCT
ejpam-5562	341	1	j.	j.	PROPN
ejpam-5562	341	2	pure	pure	PROPN
ejpam-5562	341	3	appl	appl	PROPN
ejpam-5562	341	4	.	.	PROPN
ejpam-5562	341	5	math	math	PROPN
ejpam-5562	341	6	,	,	PUNCT
ejpam-5562	341	7	18	18	NUM
ejpam-5562	341	8	(	(	PUNCT
ejpam-5562	341	9	2	2	NUM
ejpam-5562	341	10	)	)	PUNCT
ejpam-5562	341	11	(	(	PUNCT
ejpam-5562	341	12	2025	2025	NUM
ejpam-5562	341	13	)	)	PUNCT
ejpam-5562	341	14	,	,	PUNCT
ejpam-5562	341	15	5562	5562	NUM
ejpam-5562	341	16	13	13	NUM
ejpam-5562	341	17	of	of	ADP
ejpam-5562	341	18	20	20	NUM
ejpam-5562	341	19	figure	figure	NOUN
ejpam-5562	341	20	1	1	NUM
ejpam-5562	341	21	:	:	PUNCT
ejpam-5562	341	22	analytical	analytical	ADJ
ejpam-5562	341	23	solution	solution	NOUN
ejpam-5562	341	24	of	of	ADP
ejpam-5562	341	25	dde	dde	PROPN
ejpam-5562	341	26	:	:	PUNCT
ejpam-5562	341	27	asymptotically	asymptotically	ADV
ejpam-5562	341	28	stable	stable	ADJ
ejpam-5562	341	29	figure	figure	NOUN
ejpam-5562	341	30	2	2	NUM
ejpam-5562	341	31	:	:	PUNCT
ejpam-5562	341	32	analytical	analytical	ADJ
ejpam-5562	341	33	solution	solution	NOUN
ejpam-5562	341	34	of	of	ADP
ejpam-5562	341	35	dde	dde	PROPN
ejpam-5562	341	36	:	:	PUNCT
ejpam-5562	341	37	asymptotically	asymptotically	ADV
ejpam-5562	341	38	stable	stable	ADJ
ejpam-5562	341	39	.	.	PUNCT
ejpam-5562	342	1	from	from	ADP
ejpam-5562	342	2	figure	figure	NOUN
ejpam-5562	342	3	1	1	NUM
ejpam-5562	342	4	and	and	CCONJ
ejpam-5562	342	5	figure	figure	NOUN
ejpam-5562	342	6	2	2	NUM
ejpam-5562	342	7	,	,	PUNCT
ejpam-5562	342	8	the	the	DET
ejpam-5562	342	9	asymptotic	asymptotic	ADJ
ejpam-5562	342	10	stability	stability	NOUN
ejpam-5562	342	11	indicates	indicate	VERB
ejpam-5562	342	12	that	that	SCONJ
ejpam-5562	342	13	not	not	PART
ejpam-5562	342	14	only	only	ADV
ejpam-5562	342	15	is	be	AUX
ejpam-5562	342	16	the	the	DET
ejpam-5562	342	17	system	system	NOUN
ejpam-5562	342	18	stable	stable	ADJ
ejpam-5562	342	19	,	,	PUNCT
ejpam-5562	342	20	but	but	CCONJ
ejpam-5562	342	21	it	it	PRON
ejpam-5562	342	22	will	will	AUX
ejpam-5562	342	23	also	also	ADV
ejpam-5562	342	24	eventually	eventually	ADV
ejpam-5562	342	25	return	return	VERB
ejpam-5562	342	26	to	to	ADP
ejpam-5562	342	27	a	a	DET
ejpam-5562	342	28	steady	steady	ADJ
ejpam-5562	342	29	state	state	NOUN
ejpam-5562	342	30	after	after	ADP
ejpam-5562	342	31	perturbations	perturbation	NOUN
ejpam-5562	342	32	.	.	PUNCT
ejpam-5562	343	1	over	over	ADP
ejpam-5562	343	2	time	time	NOUN
ejpam-5562	343	3	,	,	PUNCT
ejpam-5562	343	4	the	the	DET
ejpam-5562	343	5	effects	effect	NOUN
ejpam-5562	343	6	of	of	ADP
ejpam-5562	343	7	small	small	ADJ
ejpam-5562	343	8	disturbances	disturbance	NOUN
ejpam-5562	343	9	diminish	diminish	VERB
ejpam-5562	343	10	,	,	PUNCT
ejpam-5562	343	11	and	and	CCONJ
ejpam-5562	343	12	the	the	DET
ejpam-5562	343	13	system	system	NOUN
ejpam-5562	343	14	stabilizes	stabilize	VERB
ejpam-5562	343	15	at	at	ADP
ejpam-5562	343	16	a	a	DET
ejpam-5562	343	17	particular	particular	ADJ
ejpam-5562	343	18	state	state	NOUN
ejpam-5562	343	19	.	.	PUNCT
ejpam-5562	344	1	this	this	PRON
ejpam-5562	344	2	might	might	AUX
ejpam-5562	344	3	represent	represent	VERB
ejpam-5562	344	4	a	a	DET
ejpam-5562	344	5	more	more	ADV
ejpam-5562	344	6	desirable	desirable	ADJ
ejpam-5562	344	7	condition	condition	NOUN
ejpam-5562	344	8	in	in	ADP
ejpam-5562	344	9	disease	disease	NOUN
ejpam-5562	344	10	management	management	NOUN
ejpam-5562	344	11	,	,	PUNCT
ejpam-5562	344	12	where	where	SCONJ
ejpam-5562	344	13	the	the	DET
ejpam-5562	344	14	patient	patient	NOUN
ejpam-5562	344	15	’s	’s	PART
ejpam-5562	344	16	symptoms	symptom	NOUN
ejpam-5562	344	17	gradually	gradually	ADV
ejpam-5562	344	18	stabilize	stabilize	VERB
ejpam-5562	344	19	over	over	ADP
ejpam-5562	344	20	time	time	NOUN
ejpam-5562	344	21	,	,	PUNCT
ejpam-5562	344	22	possibly	possibly	ADV
ejpam-5562	344	23	due	due	ADP
ejpam-5562	344	24	to	to	ADP
ejpam-5562	344	25	effective	effective	ADJ
ejpam-5562	344	26	long	long	ADJ
ejpam-5562	344	27	-	-	PUNCT
ejpam-5562	344	28	term	term	NOUN
ejpam-5562	344	29	treatment	treatment	NOUN
ejpam-5562	344	30	.	.	PUNCT
ejpam-5562	345	1	it	it	PRON
ejpam-5562	345	2	suggests	suggest	VERB
ejpam-5562	345	3	that	that	SCONJ
ejpam-5562	345	4	,	,	PUNCT
ejpam-5562	345	5	even	even	ADV
ejpam-5562	345	6	if	if	SCONJ
ejpam-5562	345	7	symptoms	symptom	NOUN
ejpam-5562	345	8	worsen	worsen	VERB
ejpam-5562	345	9	temporarily	temporarily	ADV
ejpam-5562	345	10	,	,	PUNCT
ejpam-5562	345	11	they	they	PRON
ejpam-5562	345	12	will	will	AUX
ejpam-5562	345	13	eventually	eventually	ADV
ejpam-5562	345	14	return	return	VERB
ejpam-5562	345	15	to	to	ADP
ejpam-5562	345	16	a	a	DET
ejpam-5562	345	17	manageable	manageable	ADJ
ejpam-5562	345	18	state	state	NOUN
ejpam-5562	345	19	.	.	PUNCT
ejpam-5562	346	1	case	case	NOUN
ejpam-5562	346	2	3	3	NUM
ejpam-5562	346	3	:	:	PUNCT
ejpam-5562	346	4	let	let	VERB
ejpam-5562	346	5	c1	c1	PROPN
ejpam-5562	346	6	=	=	PROPN
ejpam-5562	347	1	−0.1	−0.1	PROPN
ejpam-5562	347	2	,	,	PUNCT
ejpam-5562	347	3	c2	c2	PROPN
ejpam-5562	347	4	=	=	NUM
ejpam-5562	347	5	0.2	0.2	NUM
ejpam-5562	347	6	,	,	PUNCT
ejpam-5562	347	7	c3	c3	NOUN
ejpam-5562	347	8	=	=	NOUN
ejpam-5562	347	9	0.1	0.1	NUM
ejpam-5562	347	10	,	,	PUNCT
ejpam-5562	347	11	ψ(0	ψ(0	NOUN
ejpam-5562	347	12	)	)	PUNCT
ejpam-5562	347	13	=	=	SYM
ejpam-5562	347	14	0.5	0.5	NUM
ejpam-5562	347	15	,	,	PUNCT
ejpam-5562	347	16	τ1	τ1	NOUN
ejpam-5562	347	17	=	=	SYM
ejpam-5562	347	18	0.1	0.1	NUM
ejpam-5562	347	19	,	,	PUNCT
ejpam-5562	347	20	τ2	τ2	NOUN
ejpam-5562	347	21	=	=	ADJ
ejpam-5562	347	22	0.2	0.2	NUM
ejpam-5562	347	23	.	.	PUNCT
ejpam-5562	348	1	then	then	ADV
ejpam-5562	348	2	the	the	DET
ejpam-5562	348	3	solution	solution	NOUN
ejpam-5562	348	4	ψ(t	ψ(t	PROPN
ejpam-5562	348	5	)	)	PUNCT
ejpam-5562	348	6	diverges	diverge	VERB
ejpam-5562	348	7	as	as	SCONJ
ejpam-5562	348	8	t	t	PROPN
ejpam-5562	348	9	tends	tend	VERB
ejpam-5562	348	10	to	to	PART
ejpam-5562	348	11	infinity	infinity	VERB
ejpam-5562	348	12	.	.	PUNCT
ejpam-5562	349	1	hence	hence	ADV
ejpam-5562	349	2	,	,	PUNCT
ejpam-5562	349	3	the	the	DET
ejpam-5562	349	4	dde	dde	PROPN
ejpam-5562	349	5	is	be	AUX
ejpam-5562	349	6	unstable	unstable	ADJ
ejpam-5562	349	7	.	.	PUNCT
ejpam-5562	350	1	from	from	ADP
ejpam-5562	350	2	figure	figure	NOUN
ejpam-5562	350	3	3	3	NUM
ejpam-5562	350	4	,	,	PUNCT
ejpam-5562	350	5	if	if	SCONJ
ejpam-5562	350	6	the	the	DET
ejpam-5562	350	7	solution	solution	NOUN
ejpam-5562	350	8	is	be	AUX
ejpam-5562	350	9	unstable	unstable	ADJ
ejpam-5562	350	10	,	,	PUNCT
ejpam-5562	350	11	small	small	ADJ
ejpam-5562	350	12	disturbances	disturbance	NOUN
ejpam-5562	350	13	can	can	AUX
ejpam-5562	350	14	lead	lead	VERB
ejpam-5562	350	15	to	to	ADP
ejpam-5562	350	16	significant	significant	ADJ
ejpam-5562	350	17	g.	g.	NOUN
ejpam-5562	350	18	veerabathiran	veerabathiran	PROPN
ejpam-5562	350	19	,	,	PUNCT
ejpam-5562	350	20	g.	g.	PROPN
ejpam-5562	350	21	j.	j.	PROPN
ejpam-5562	350	22	kumar	kumar	PROPN
ejpam-5562	350	23	,	,	PUNCT
ejpam-5562	350	24	s.	s.	PROPN
ejpam-5562	350	25	donganont	donganont	PROPN
ejpam-5562	350	26	/	/	SYM
ejpam-5562	350	27	eur	eur	PROPN
ejpam-5562	350	28	.	.	PUNCT
ejpam-5562	351	1	j.	j.	PROPN
ejpam-5562	351	2	pure	pure	PROPN
ejpam-5562	351	3	appl	appl	PROPN
ejpam-5562	351	4	.	.	PROPN
ejpam-5562	351	5	math	math	PROPN
ejpam-5562	351	6	,	,	PUNCT
ejpam-5562	351	7	18	18	NUM
ejpam-5562	351	8	(	(	PUNCT
ejpam-5562	351	9	2	2	NUM
ejpam-5562	351	10	)	)	PUNCT
ejpam-5562	351	11	(	(	PUNCT
ejpam-5562	351	12	2025	2025	NUM
ejpam-5562	351	13	)	)	PUNCT
ejpam-5562	351	14	,	,	PUNCT
ejpam-5562	351	15	5562	5562	NUM
ejpam-5562	351	16	14	14	NUM
ejpam-5562	351	17	of	of	ADP
ejpam-5562	351	18	20	20	NUM
ejpam-5562	351	19	figure	figure	NOUN
ejpam-5562	351	20	3	3	NUM
ejpam-5562	351	21	:	:	PUNCT
ejpam-5562	351	22	analytical	analytical	ADJ
ejpam-5562	351	23	solution	solution	NOUN
ejpam-5562	351	24	of	of	ADP
ejpam-5562	351	25	dde	dde	PROPN
ejpam-5562	351	26	:	:	PUNCT
ejpam-5562	351	27	unstable	unstable	ADJ
ejpam-5562	351	28	.	.	PUNCT
ejpam-5562	352	1	deviations	deviation	NOUN
ejpam-5562	352	2	in	in	ADP
ejpam-5562	352	3	the	the	DET
ejpam-5562	352	4	systems	system	NOUN
ejpam-5562	352	5	behavior	behavior	NOUN
ejpam-5562	352	6	.	.	PUNCT
ejpam-5562	353	1	this	this	PRON
ejpam-5562	353	2	means	mean	VERB
ejpam-5562	353	3	that	that	SCONJ
ejpam-5562	353	4	the	the	DET
ejpam-5562	353	5	disease	disease	NOUN
ejpam-5562	353	6	dynamics	dynamic	NOUN
ejpam-5562	353	7	are	be	AUX
ejpam-5562	353	8	highly	highly	ADV
ejpam-5562	353	9	sensitive	sensitive	ADJ
ejpam-5562	353	10	to	to	ADP
ejpam-5562	353	11	changes	change	NOUN
ejpam-5562	353	12	,	,	PUNCT
ejpam-5562	353	13	leading	lead	VERB
ejpam-5562	353	14	to	to	ADP
ejpam-5562	353	15	unpredictable	unpredictable	ADJ
ejpam-5562	353	16	outcomes	outcome	NOUN
ejpam-5562	353	17	.	.	PUNCT
ejpam-5562	354	1	in	in	ADP
ejpam-5562	354	2	the	the	DET
ejpam-5562	354	3	context	context	NOUN
ejpam-5562	354	4	of	of	ADP
ejpam-5562	354	5	parkinson	parkinson	NOUN
ejpam-5562	354	6	’s	’s	PART
ejpam-5562	354	7	disease	disease	NOUN
ejpam-5562	354	8	,	,	PUNCT
ejpam-5562	354	9	this	this	PRON
ejpam-5562	354	10	could	could	AUX
ejpam-5562	354	11	imply	imply	VERB
ejpam-5562	354	12	a	a	DET
ejpam-5562	354	13	worsening	worsening	NOUN
ejpam-5562	354	14	of	of	ADP
ejpam-5562	354	15	symptoms	symptom	NOUN
ejpam-5562	354	16	,	,	PUNCT
ejpam-5562	354	17	where	where	SCONJ
ejpam-5562	354	18	the	the	DET
ejpam-5562	354	19	disease	disease	NOUN
ejpam-5562	354	20	state	state	NOUN
ejpam-5562	354	21	could	could	AUX
ejpam-5562	354	22	rapidly	rapidly	ADV
ejpam-5562	354	23	deteriorate	deteriorate	VERB
ejpam-5562	354	24	due	due	ADP
ejpam-5562	354	25	to	to	ADP
ejpam-5562	354	26	small	small	ADJ
ejpam-5562	354	27	changes	change	NOUN
ejpam-5562	354	28	in	in	ADP
ejpam-5562	354	29	the	the	DET
ejpam-5562	354	30	patient	patient	NOUN
ejpam-5562	354	31	’s	’s	PART
ejpam-5562	354	32	condition	condition	NOUN
ejpam-5562	354	33	or	or	CCONJ
ejpam-5562	354	34	response	response	NOUN
ejpam-5562	354	35	to	to	ADP
ejpam-5562	354	36	medication	medication	NOUN
ejpam-5562	354	37	.	.	PUNCT
ejpam-5562	355	1	this	this	PRON
ejpam-5562	355	2	might	might	AUX
ejpam-5562	355	3	indicate	indicate	VERB
ejpam-5562	355	4	a	a	DET
ejpam-5562	355	5	need	need	NOUN
ejpam-5562	355	6	for	for	ADP
ejpam-5562	355	7	more	more	ADV
ejpam-5562	355	8	careful	careful	ADJ
ejpam-5562	355	9	monitoring	monitoring	NOUN
ejpam-5562	355	10	and	and	CCONJ
ejpam-5562	355	11	possibly	possibly	ADV
ejpam-5562	355	12	adjustments	adjustment	NOUN
ejpam-5562	355	13	in	in	ADP
ejpam-5562	355	14	treatment	treatment	NOUN
ejpam-5562	355	15	.	.	PUNCT
ejpam-5562	356	1	the	the	DET
ejpam-5562	356	2	solution	solution	NOUN
ejpam-5562	356	3	of	of	ADP
ejpam-5562	356	4	the	the	DET
ejpam-5562	356	5	dde	dde	PROPN
ejpam-5562	356	6	does	do	AUX
ejpam-5562	356	7	not	not	PART
ejpam-5562	356	8	stable	stable	ADJ
ejpam-5562	356	9	,	,	PUNCT
ejpam-5562	356	10	because	because	SCONJ
ejpam-5562	356	11	the	the	DET
ejpam-5562	356	12	solution	solution	NOUN
ejpam-5562	356	13	depend	depend	VERB
ejpam-5562	356	14	on	on	ADP
ejpam-5562	356	15	the	the	DET
ejpam-5562	356	16	initial	initial	ADJ
ejpam-5562	356	17	guess	guess	NOUN
ejpam-5562	356	18	.	.	PUNCT
ejpam-5562	357	1	if	if	SCONJ
ejpam-5562	357	2	the	the	DET
ejpam-5562	357	3	initial	initial	ADJ
ejpam-5562	357	4	guess	guess	NOUN
ejpam-5562	357	5	is	be	AUX
ejpam-5562	357	6	zero	zero	NUM
ejpam-5562	357	7	,	,	PUNCT
ejpam-5562	357	8	then	then	ADV
ejpam-5562	357	9	the	the	DET
ejpam-5562	357	10	solution	solution	NOUN
ejpam-5562	357	11	to	to	ADP
ejpam-5562	357	12	the	the	DET
ejpam-5562	357	13	dde	dde	NOUN
ejpam-5562	357	14	is	be	AUX
ejpam-5562	357	15	stable	stable	ADJ
ejpam-5562	357	16	.	.	PUNCT
ejpam-5562	358	1	this	this	PRON
ejpam-5562	358	2	implies	imply	VERB
ejpam-5562	358	3	that	that	SCONJ
ejpam-5562	358	4	the	the	DET
ejpam-5562	358	5	perturbations	perturbation	NOUN
ejpam-5562	358	6	in	in	ADP
ejpam-5562	358	7	the	the	DET
ejpam-5562	358	8	system	system	NOUN
ejpam-5562	358	9	(	(	PUNCT
ejpam-5562	358	10	such	such	ADJ
ejpam-5562	358	11	as	as	ADP
ejpam-5562	358	12	small	small	ADJ
ejpam-5562	358	13	deviations	deviation	NOUN
ejpam-5562	358	14	in	in	ADP
ejpam-5562	358	15	physiological	physiological	ADJ
ejpam-5562	358	16	parameters	parameter	NOUN
ejpam-5562	358	17	or	or	CCONJ
ejpam-5562	358	18	medication	medication	NOUN
ejpam-5562	358	19	timing	timing	NOUN
ejpam-5562	358	20	)	)	PUNCT
ejpam-5562	358	21	will	will	AUX
ejpam-5562	358	22	not	not	PART
ejpam-5562	358	23	lead	lead	VERB
ejpam-5562	358	24	to	to	ADP
ejpam-5562	358	25	large	large	ADJ
ejpam-5562	358	26	deviations	deviation	NOUN
ejpam-5562	358	27	in	in	ADP
ejpam-5562	358	28	the	the	DET
ejpam-5562	358	29	state	state	NOUN
ejpam-5562	358	30	of	of	ADP
ejpam-5562	358	31	the	the	DET
ejpam-5562	358	32	system	system	NOUN
ejpam-5562	358	33	.	.	PUNCT
ejpam-5562	359	1	the	the	DET
ejpam-5562	359	2	model	model	NOUN
ejpam-5562	359	3	suggests	suggest	VERB
ejpam-5562	359	4	that	that	SCONJ
ejpam-5562	359	5	the	the	DET
ejpam-5562	359	6	disease	disease	NOUN
ejpam-5562	359	7	dynamics	dynamic	NOUN
ejpam-5562	359	8	remain	remain	VERB
ejpam-5562	359	9	under	under	ADP
ejpam-5562	359	10	control	control	NOUN
ejpam-5562	359	11	and	and	CCONJ
ejpam-5562	359	12	predictable	predictable	ADJ
ejpam-5562	359	13	.	.	PUNCT
ejpam-5562	360	1	this	this	PRON
ejpam-5562	360	2	could	could	AUX
ejpam-5562	360	3	correspond	correspond	VERB
ejpam-5562	360	4	to	to	ADP
ejpam-5562	360	5	a	a	DET
ejpam-5562	360	6	scenario	scenario	NOUN
ejpam-5562	360	7	where	where	SCONJ
ejpam-5562	360	8	the	the	DET
ejpam-5562	360	9	symptoms	symptom	NOUN
ejpam-5562	360	10	of	of	ADP
ejpam-5562	360	11	parkinson	parkinson	NOUN
ejpam-5562	360	12	’s	’s	PART
ejpam-5562	360	13	disease	disease	NOUN
ejpam-5562	360	14	are	be	AUX
ejpam-5562	360	15	well	well	ADV
ejpam-5562	360	16	managed	manage	VERB
ejpam-5562	360	17	,	,	PUNCT
ejpam-5562	360	18	either	either	CCONJ
ejpam-5562	360	19	through	through	ADP
ejpam-5562	360	20	medication	medication	NOUN
ejpam-5562	360	21	or	or	CCONJ
ejpam-5562	360	22	other	other	ADJ
ejpam-5562	360	23	therapeutic	therapeutic	ADJ
ejpam-5562	360	24	interventions	intervention	NOUN
ejpam-5562	360	25	,	,	PUNCT
ejpam-5562	360	26	with	with	ADP
ejpam-5562	360	27	the	the	DET
ejpam-5562	360	28	system	system	NOUN
ejpam-5562	360	29	returning	return	VERB
ejpam-5562	360	30	to	to	ADP
ejpam-5562	360	31	equilibrium	equilibrium	NOUN
ejpam-5562	360	32	aft	aft	NOUN
ejpam-5562	360	33	er	er	INTJ
ejpam-5562	360	34	disturbances	disturbance	NOUN
ejpam-5562	360	35	.	.	PUNCT
ejpam-5562	361	1	understanding	understand	VERB
ejpam-5562	361	2	the	the	DET
ejpam-5562	361	3	delays	delay	NOUN
ejpam-5562	361	4	differ	differ	VERB
ejpam-5562	361	5	between	between	ADP
ejpam-5562	361	6	the	the	DET
ejpam-5562	361	7	on	on	ADP
ejpam-5562	361	8	medication	medication	NOUN
ejpam-5562	361	9	,	,	PUNCT
ejpam-5562	361	10	off	off	ADP
ejpam-5562	361	11	medication	medication	NOUN
ejpam-5562	361	12	,	,	PUNCT
ejpam-5562	361	13	and	and	CCONJ
ejpam-5562	361	14	control	control	NOUN
ejpam-5562	361	15	states	state	NOUN
ejpam-5562	361	16	can	can	AUX
ejpam-5562	361	17	help	help	VERB
ejpam-5562	361	18	clinicians	clinician	NOUN
ejpam-5562	361	19	tailor	tailor	NOUN
ejpam-5562	361	20	treatment	treatment	NOUN
ejpam-5562	361	21	plans	plan	NOUN
ejpam-5562	361	22	.	.	PUNCT
ejpam-5562	362	1	if	if	SCONJ
ejpam-5562	362	2	a	a	DET
ejpam-5562	362	3	patient	patient	NOUN
ejpam-5562	362	4	’s	’s	PART
ejpam-5562	362	5	delays	delay	NOUN
ejpam-5562	362	6	change	change	VERB
ejpam-5562	362	7	significantly	significantly	ADV
ejpam-5562	362	8	when	when	SCONJ
ejpam-5562	362	9	off	off	ADP
ejpam-5562	362	10	medication	medication	NOUN
ejpam-5562	362	11	,	,	PUNCT
ejpam-5562	362	12	this	this	PRON
ejpam-5562	362	13	might	might	AUX
ejpam-5562	362	14	suggest	suggest	VERB
ejpam-5562	362	15	a	a	DET
ejpam-5562	362	16	need	need	NOUN
ejpam-5562	362	17	for	for	ADP
ejpam-5562	362	18	a	a	DET
ejpam-5562	362	19	more	more	ADV
ejpam-5562	362	20	continuous	continuous	ADJ
ejpam-5562	362	21	or	or	CCONJ
ejpam-5562	362	22	sustained	sustained	ADJ
ejpam-5562	362	23	release	release	NOUN
ejpam-5562	362	24	of	of	ADP
ejpam-5562	362	25	medication	medication	NOUN
ejpam-5562	362	26	to	to	PART
ejpam-5562	362	27	prevent	prevent	VERB
ejpam-5562	362	28	symptom	symptom	NOUN
ejpam-5562	362	29	onset	onset	NOUN
ejpam-5562	362	30	.	.	PUNCT
ejpam-5562	363	1	tracking	track	VERB
ejpam-5562	363	2	changes	change	NOUN
ejpam-5562	363	3	in	in	ADP
ejpam-5562	363	4	these	these	DET
ejpam-5562	363	5	delays	delay	NOUN
ejpam-5562	363	6	over	over	ADP
ejpam-5562	363	7	time	time	NOUN
ejpam-5562	363	8	could	could	AUX
ejpam-5562	363	9	provide	provide	VERB
ejpam-5562	363	10	insights	insight	NOUN
ejpam-5562	363	11	into	into	ADP
ejpam-5562	363	12	the	the	DET
ejpam-5562	363	13	progression	progression	NOUN
ejpam-5562	363	14	of	of	ADP
ejpam-5562	363	15	the	the	DET
ejpam-5562	363	16	disease	disease	NOUN
ejpam-5562	363	17	.	.	PUNCT
ejpam-5562	364	1	if	if	SCONJ
ejpam-5562	364	2	delays	delay	NOUN
ejpam-5562	364	3	are	be	AUX
ejpam-5562	364	4	becoming	become	VERB
ejpam-5562	364	5	shorter	short	ADJ
ejpam-5562	364	6	or	or	CCONJ
ejpam-5562	364	7	more	more	ADJ
ejpam-5562	364	8	variable	variable	ADJ
ejpam-5562	364	9	,	,	PUNCT
ejpam-5562	364	10	this	this	PRON
ejpam-5562	364	11	could	could	AUX
ejpam-5562	364	12	indicate	indicate	VERB
ejpam-5562	364	13	a	a	DET
ejpam-5562	364	14	worsening	worsening	NOUN
ejpam-5562	364	15	of	of	ADP
ejpam-5562	364	16	the	the	DET
ejpam-5562	364	17	disease	disease	NOUN
ejpam-5562	364	18	or	or	CCONJ
ejpam-5562	364	19	a	a	DET
ejpam-5562	364	20	reduction	reduction	NOUN
ejpam-5562	364	21	in	in	ADP
ejpam-5562	364	22	the	the	DET
ejpam-5562	364	23	effectiveness	effectiveness	NOUN
ejpam-5562	364	24	of	of	ADP
ejpam-5562	364	25	the	the	DET
ejpam-5562	364	26	medication	medication	NOUN
ejpam-5562	364	27	.	.	PUNCT
ejpam-5562	365	1	the	the	DET
ejpam-5562	365	2	ability	ability	NOUN
ejpam-5562	365	3	to	to	PART
ejpam-5562	365	4	quantify	quantify	VERB
ejpam-5562	365	5	and	and	CCONJ
ejpam-5562	365	6	compare	compare	VERB
ejpam-5562	365	7	these	these	DET
ejpam-5562	365	8	delays	delay	NOUN
ejpam-5562	365	9	allows	allow	VERB
ejpam-5562	365	10	for	for	ADP
ejpam-5562	365	11	more	more	ADJ
ejpam-5562	365	12	personalized	personalized	ADJ
ejpam-5562	365	13	treatment	treatment	NOUN
ejpam-5562	365	14	strategies	strategy	NOUN
ejpam-5562	365	15	.	.	PUNCT
ejpam-5562	366	1	a	a	DET
ejpam-5562	366	2	patient	patient	NOUN
ejpam-5562	366	3	with	with	ADP
ejpam-5562	366	4	particularly	particularly	ADV
ejpam-5562	366	5	short	short	ADJ
ejpam-5562	366	6	delays	delay	NOUN
ejpam-5562	366	7	when	when	SCONJ
ejpam-5562	366	8	off	off	ADP
ejpam-5562	366	9	medication	medication	NOUN
ejpam-5562	366	10	might	might	AUX
ejpam-5562	366	11	benefit	benefit	VERB
ejpam-5562	366	12	from	from	ADP
ejpam-5562	366	13	a	a	DET
ejpam-5562	366	14	different	different	ADJ
ejpam-5562	366	15	therapeutic	therapeutic	ADJ
ejpam-5562	366	16	approach	approach	NOUN
ejpam-5562	366	17	than	than	ADP
ejpam-5562	366	18	one	one	NUM
ejpam-5562	366	19	with	with	ADP
ejpam-5562	366	20	longer	long	ADJ
ejpam-5562	366	21	delays	delay	NOUN
ejpam-5562	366	22	.	.	PUNCT
ejpam-5562	367	1	g.	g.	PROPN
ejpam-5562	367	2	veerabathiran	veerabathiran	PROPN
ejpam-5562	367	3	,	,	PUNCT
ejpam-5562	367	4	g.	g.	PROPN
ejpam-5562	367	5	j.	j.	PROPN
ejpam-5562	367	6	kumar	kumar	PROPN
ejpam-5562	367	7	,	,	PUNCT
ejpam-5562	367	8	s.	s.	PROPN
ejpam-5562	367	9	donganont	donganont	PROPN
ejpam-5562	367	10	/	/	SYM
ejpam-5562	367	11	eur	eur	PROPN
ejpam-5562	367	12	.	.	PUNCT
ejpam-5562	368	1	j.	j.	PROPN
ejpam-5562	368	2	pure	pure	PROPN
ejpam-5562	368	3	appl	appl	PROPN
ejpam-5562	368	4	.	.	PROPN
ejpam-5562	368	5	math	math	PROPN
ejpam-5562	368	6	,	,	PUNCT
ejpam-5562	368	7	18	18	NUM
ejpam-5562	368	8	(	(	PUNCT
ejpam-5562	368	9	2	2	NUM
ejpam-5562	368	10	)	)	PUNCT
ejpam-5562	368	11	(	(	PUNCT
ejpam-5562	368	12	2025	2025	NUM
ejpam-5562	368	13	)	)	PUNCT
ejpam-5562	368	14	,	,	PUNCT
ejpam-5562	368	15	5562	5562	NUM
ejpam-5562	368	16	15	15	NUM
ejpam-5562	368	17	of	of	ADP
ejpam-5562	368	18	20	20	NUM
ejpam-5562	368	19	5	5	NUM
ejpam-5562	368	20	.	.	PUNCT
ejpam-5562	369	1	developing	develop	VERB
ejpam-5562	369	2	the	the	DET
ejpam-5562	369	3	spatiotemporal	spatiotemporal	ADJ
ejpam-5562	369	4	model	model	NOUN
ejpam-5562	369	5	of	of	ADP
ejpam-5562	369	6	dopamine	dopamine	NOUN
ejpam-5562	369	7	concentration	concentration	NOUN
ejpam-5562	369	8	in	in	ADP
ejpam-5562	369	9	parkinson	parkinson	NOUN
ejpam-5562	369	10	’s	’s	PART
ejpam-5562	369	11	disease	disease	NOUN
ejpam-5562	369	12	song	song	NOUN
ejpam-5562	369	13	and	and	CCONJ
ejpam-5562	369	14	qu	qu	NOUN
ejpam-5562	369	15	[	[	X
ejpam-5562	369	16	40	40	NUM
ejpam-5562	369	17	]	]	PUNCT
ejpam-5562	369	18	investigate	investigate	VERB
ejpam-5562	369	19	the	the	DET
ejpam-5562	369	20	role	role	NOUN
ejpam-5562	369	21	of	of	ADP
ejpam-5562	369	22	delayed	delay	VERB
ejpam-5562	369	23	global	global	ADJ
ejpam-5562	369	24	feedback	feedback	NOUN
ejpam-5562	369	25	in	in	ADP
ejpam-5562	369	26	the	the	DET
ejpam-5562	369	27	genesis	genesis	NOUN
ejpam-5562	369	28	and	and	CCONJ
ejpam-5562	369	29	stability	stability	NOUN
ejpam-5562	369	30	of	of	ADP
ejpam-5562	369	31	spatiotemporal	spatiotemporal	ADJ
ejpam-5562	369	32	excitation	excitation	NOUN
ejpam-5562	369	33	patterns	pattern	NOUN
ejpam-5562	369	34	within	within	ADP
ejpam-5562	369	35	biological	biological	ADJ
ejpam-5562	369	36	excitable	excitable	ADJ
ejpam-5562	369	37	media	medium	NOUN
ejpam-5562	369	38	.	.	PUNCT
ejpam-5562	370	1	they	they	PRON
ejpam-5562	370	2	focus	focus	VERB
ejpam-5562	370	3	on	on	ADP
ejpam-5562	370	4	excitable	excitable	ADJ
ejpam-5562	370	5	media	medium	NOUN
ejpam-5562	370	6	such	such	ADJ
ejpam-5562	370	7	as	as	ADP
ejpam-5562	370	8	cardiac	cardiac	ADJ
ejpam-5562	370	9	and	and	CCONJ
ejpam-5562	370	10	neural	neural	ADJ
ejpam-5562	370	11	tissues	tissue	NOUN
ejpam-5562	370	12	,	,	PUNCT
ejpam-5562	370	13	where	where	SCONJ
ejpam-5562	370	14	spatiotemporal	spatiotemporal	ADJ
ejpam-5562	370	15	dynamics	dynamic	NOUN
ejpam-5562	370	16	are	be	AUX
ejpam-5562	370	17	influenced	influence	VERB
ejpam-5562	370	18	by	by	ADP
ejpam-5562	370	19	external	external	ADJ
ejpam-5562	370	20	stimuli	stimulus	NOUN
ejpam-5562	370	21	,	,	PUNCT
ejpam-5562	370	22	like	like	ADP
ejpam-5562	370	23	pacing	pace	VERB
ejpam-5562	370	24	.	.	PUNCT
ejpam-5562	371	1	through	through	ADP
ejpam-5562	371	2	computational	computational	ADJ
ejpam-5562	371	3	models	model	NOUN
ejpam-5562	371	4	,	,	PUNCT
ejpam-5562	371	5	they	they	PRON
ejpam-5562	371	6	explore	explore	VERB
ejpam-5562	371	7	how	how	SCONJ
ejpam-5562	371	8	delayed	delayed	ADJ
ejpam-5562	371	9	feedback	feedback	NOUN
ejpam-5562	371	10	mechanisms	mechanism	NOUN
ejpam-5562	371	11	contribute	contribute	VERB
ejpam-5562	371	12	to	to	ADP
ejpam-5562	371	13	the	the	DET
ejpam-5562	371	14	stability	stability	NOUN
ejpam-5562	371	15	of	of	ADP
ejpam-5562	371	16	these	these	DET
ejpam-5562	371	17	patterns	pattern	NOUN
ejpam-5562	371	18	,	,	PUNCT
ejpam-5562	371	19	revealing	reveal	VERB
ejpam-5562	371	20	that	that	SCONJ
ejpam-5562	371	21	delays	delay	NOUN
ejpam-5562	371	22	can	can	AUX
ejpam-5562	371	23	lead	lead	VERB
ejpam-5562	371	24	to	to	ADP
ejpam-5562	371	25	complex	complex	ADJ
ejpam-5562	371	26	behaviors	behavior	NOUN
ejpam-5562	371	27	such	such	ADJ
ejpam-5562	371	28	as	as	ADP
ejpam-5562	371	29	oscillations	oscillation	NOUN
ejpam-5562	371	30	and	and	CCONJ
ejpam-5562	371	31	pattern	pattern	NOUN
ejpam-5562	371	32	destabilization	destabilization	NOUN
ejpam-5562	371	33	.	.	PUNCT
ejpam-5562	372	1	long	long	ADV
ejpam-5562	372	2	et	et	PROPN
ejpam-5562	372	3	al	al	PROPN
ejpam-5562	372	4	.	.	PUNCT
ejpam-5562	373	1	[	[	X
ejpam-5562	373	2	41	41	NUM
ejpam-5562	373	3	]	]	PUNCT
ejpam-5562	373	4	introduced	introduce	VERB
ejpam-5562	373	5	a	a	DET
ejpam-5562	373	6	spatial	spatial	ADJ
ejpam-5562	373	7	-	-	PUNCT
ejpam-5562	373	8	temporal	temporal	ADJ
ejpam-5562	373	9	delay	delay	NOUN
ejpam-5562	373	10	differential	differential	NOUN
ejpam-5562	373	11	equation	equation	NOUN
ejpam-5562	373	12	model	model	NOUN
ejpam-5562	373	13	to	to	PART
ejpam-5562	373	14	predict	predict	VERB
ejpam-5562	373	15	traffic	traffic	NOUN
ejpam-5562	373	16	flow	flow	NOUN
ejpam-5562	373	17	more	more	ADV
ejpam-5562	373	18	accurately	accurately	ADV
ejpam-5562	373	19	by	by	ADP
ejpam-5562	373	20	incorporating	incorporate	VERB
ejpam-5562	373	21	delay	delay	NOUN
ejpam-5562	373	22	effects	effect	NOUN
ejpam-5562	373	23	due	due	ADJ
ejpam-5562	373	24	to	to	ADP
ejpam-5562	373	25	vehicle	vehicle	NOUN
ejpam-5562	373	26	interactions	interaction	NOUN
ejpam-5562	373	27	over	over	ADP
ejpam-5562	373	28	time	time	NOUN
ejpam-5562	373	29	and	and	CCONJ
ejpam-5562	373	30	space	space	NOUN
ejpam-5562	373	31	.	.	PUNCT
ejpam-5562	374	1	weyhenmeyer	weyhenmeyer	PROPN
ejpam-5562	374	2	et	et	PROPN
ejpam-5562	374	3	al	al	PROPN
ejpam-5562	374	4	.	.	PUNCT
ejpam-5562	375	1	[	[	X
ejpam-5562	375	2	42	42	NUM
ejpam-5562	375	3	]	]	PUNCT
ejpam-5562	375	4	apply	apply	VERB
ejpam-5562	375	5	delay	delay	NOUN
ejpam-5562	375	6	differential	differential	ADJ
ejpam-5562	375	7	analysis	analysis	NOUN
ejpam-5562	375	8	to	to	ADP
ejpam-5562	375	9	multimodal	multimodal	ADJ
ejpam-5562	375	10	data	datum	NOUN
ejpam-5562	375	11	to	to	PART
ejpam-5562	375	12	classify	classify	VERB
ejpam-5562	375	13	parkinson	parkinson	NOUN
ejpam-5562	375	14	’s	’s	PART
ejpam-5562	375	15	disease	disease	NOUN
ejpam-5562	375	16	.	.	PUNCT
ejpam-5562	376	1	the	the	DET
ejpam-5562	376	2	study	study	NOUN
ejpam-5562	376	3	leverages	leverage	VERB
ejpam-5562	376	4	ddes	dde	NOUN
ejpam-5562	376	5	to	to	PART
ejpam-5562	376	6	analyze	analyze	VERB
ejpam-5562	376	7	time	time	NOUN
ejpam-5562	376	8	-	-	PUNCT
ejpam-5562	376	9	series	series	NOUN
ejpam-5562	376	10	data	datum	NOUN
ejpam-5562	376	11	from	from	ADP
ejpam-5562	376	12	parkinson	parkinson	NOUN
ejpam-5562	376	13	’s	’s	PART
ejpam-5562	376	14	patients	patient	NOUN
ejpam-5562	376	15	,	,	PUNCT
ejpam-5562	376	16	capturing	capture	VERB
ejpam-5562	376	17	the	the	DET
ejpam-5562	376	18	delayed	delay	VERB
ejpam-5562	376	19	responses	response	NOUN
ejpam-5562	376	20	in	in	ADP
ejpam-5562	376	21	motor	motor	NOUN
ejpam-5562	376	22	symptoms	symptom	NOUN
ejpam-5562	376	23	characteristic	characteristic	ADJ
ejpam-5562	376	24	of	of	ADP
ejpam-5562	376	25	the	the	DET
ejpam-5562	376	26	disease	disease	NOUN
ejpam-5562	376	27	.	.	PUNCT
ejpam-5562	377	1	this	this	DET
ejpam-5562	377	2	approach	approach	NOUN
ejpam-5562	377	3	exemplifies	exemplify	VERB
ejpam-5562	377	4	the	the	DET
ejpam-5562	377	5	potential	potential	NOUN
ejpam-5562	377	6	of	of	ADP
ejpam-5562	377	7	ddes	dde	NOUN
ejpam-5562	377	8	in	in	ADP
ejpam-5562	377	9	medical	medical	ADJ
ejpam-5562	377	10	applications	application	NOUN
ejpam-5562	377	11	,	,	PUNCT
ejpam-5562	377	12	especially	especially	ADV
ejpam-5562	377	13	for	for	ADP
ejpam-5562	377	14	conditions	condition	NOUN
ejpam-5562	377	15	where	where	SCONJ
ejpam-5562	377	16	delayed	delay	VERB
ejpam-5562	377	17	physiological	physiological	ADJ
ejpam-5562	377	18	responses	response	NOUN
ejpam-5562	377	19	are	be	AUX
ejpam-5562	377	20	prevalent	prevalent	ADJ
ejpam-5562	377	21	.	.	PUNCT
ejpam-5562	378	1	in	in	ADP
ejpam-5562	378	2	this	this	DET
ejpam-5562	378	3	section	section	NOUN
ejpam-5562	378	4	,	,	PUNCT
ejpam-5562	378	5	we	we	PRON
ejpam-5562	378	6	will	will	AUX
ejpam-5562	378	7	explore	explore	VERB
ejpam-5562	378	8	a	a	DET
ejpam-5562	378	9	spatiotemporal	spatiotemporal	ADJ
ejpam-5562	378	10	model	model	NOUN
ejpam-5562	378	11	of	of	ADP
ejpam-5562	378	12	dopamine	dopamine	NOUN
ejpam-5562	378	13	concentration	concentration	NOUN
ejpam-5562	378	14	in	in	ADP
ejpam-5562	378	15	parkinson	parkinson	NOUN
ejpam-5562	378	16	’s	’s	PART
ejpam-5562	378	17	disease	disease	NOUN
ejpam-5562	378	18	.	.	PUNCT
ejpam-5562	379	1	this	this	DET
ejpam-5562	379	2	model	model	NOUN
ejpam-5562	379	3	uses	use	VERB
ejpam-5562	379	4	delay	delay	VERB
ejpam-5562	379	5	differential	differential	ADJ
ejpam-5562	379	6	equations	equation	NOUN
ejpam-5562	379	7	(	(	PUNCT
ejpam-5562	379	8	ddes	ddes	PROPN
ejpam-5562	379	9	)	)	PUNCT
ejpam-5562	379	10	with	with	ADP
ejpam-5562	379	11	multiple	multiple	ADJ
ejpam-5562	379	12	delays	delay	NOUN
ejpam-5562	379	13	to	to	PART
ejpam-5562	379	14	capture	capture	VERB
ejpam-5562	379	15	the	the	DET
ejpam-5562	379	16	complex	complex	ADJ
ejpam-5562	379	17	dynamics	dynamic	NOUN
ejpam-5562	379	18	of	of	ADP
ejpam-5562	379	19	dopamine	dopamine	NOUN
ejpam-5562	379	20	regulation	regulation	NOUN
ejpam-5562	379	21	,	,	PUNCT
ejpam-5562	379	22	including	include	VERB
ejpam-5562	379	23	delayed	delay	VERB
ejpam-5562	379	24	feedback	feedback	NOUN
ejpam-5562	379	25	,	,	PUNCT
ejpam-5562	379	26	release	release	NOUN
ejpam-5562	379	27	,	,	PUNCT
ejpam-5562	379	28	and	and	CCONJ
ejpam-5562	379	29	reuptake	reuptake	NOUN
ejpam-5562	379	30	.	.	PUNCT
ejpam-5562	380	1	by	by	ADP
ejpam-5562	380	2	incorporating	incorporate	VERB
ejpam-5562	380	3	these	these	DET
ejpam-5562	380	4	delays	delay	NOUN
ejpam-5562	380	5	,	,	PUNCT
ejpam-5562	380	6	the	the	DET
ejpam-5562	380	7	model	model	NOUN
ejpam-5562	380	8	provides	provide	VERB
ejpam-5562	380	9	a	a	DET
ejpam-5562	380	10	more	more	ADV
ejpam-5562	380	11	comprehensive	comprehensive	ADJ
ejpam-5562	380	12	understanding	understanding	NOUN
ejpam-5562	380	13	of	of	ADP
ejpam-5562	380	14	the	the	DET
ejpam-5562	380	15	underlying	underlying	ADJ
ejpam-5562	380	16	mechanisms	mechanism	NOUN
ejpam-5562	380	17	and	and	CCONJ
ejpam-5562	380	18	potential	potential	ADJ
ejpam-5562	380	19	therapeutic	therapeutic	ADJ
ejpam-5562	380	20	targets	target	NOUN
ejpam-5562	380	21	.	.	PUNCT
ejpam-5562	381	1	the	the	DET
ejpam-5562	381	2	goal	goal	NOUN
ejpam-5562	381	3	is	be	AUX
ejpam-5562	381	4	to	to	PART
ejpam-5562	381	5	simulate	simulate	VERB
ejpam-5562	381	6	and	and	CCONJ
ejpam-5562	381	7	understand	understand	VERB
ejpam-5562	381	8	dopamine	dopamine	NOUN
ejpam-5562	381	9	leivels	leivel	NOUN
ejpam-5562	381	10	in	in	ADP
ejpam-5562	381	11	the	the	DET
ejpam-5562	381	12	brain	brain	NOUN
ejpam-5562	381	13	,	,	PUNCT
ejpam-5562	381	14	specifically	specifically	ADV
ejpam-5562	381	15	in	in	ADP
ejpam-5562	381	16	the	the	DET
ejpam-5562	381	17	context	context	NOUN
ejpam-5562	381	18	of	of	ADP
ejpam-5562	381	19	parkinson	parkinson	NOUN
ejpam-5562	381	20	’s	’s	PART
ejpam-5562	381	21	disease	disease	NOUN
ejpam-5562	381	22	,	,	PUNCT
ejpam-5562	381	23	a	a	DET
ejpam-5562	381	24	neurodegenerative	neurodegenerative	ADJ
ejpam-5562	381	25	disorder	disorder	NOUN
ejpam-5562	381	26	characterized	characterize	VERB
ejpam-5562	381	27	by	by	ADP
ejpam-5562	381	28	the	the	DET
ejpam-5562	381	29	loss	loss	NOUN
ejpam-5562	381	30	of	of	ADP
ejpam-5562	381	31	dopamine	dopamine	NOUN
ejpam-5562	381	32	-	-	PUNCT
ejpam-5562	381	33	producing	produce	VERB
ejpam-5562	381	34	neurons	neuron	NOUN
ejpam-5562	381	35	.	.	PUNCT
ejpam-5562	382	1	in	in	ADP
ejpam-5562	382	2	parkinson	parkinson	NOUN
ejpam-5562	382	3	’s	’s	PART
ejpam-5562	382	4	disease	disease	NOUN
ejpam-5562	382	5	,	,	PUNCT
ejpam-5562	382	6	dopamine	dopamine	NOUN
ejpam-5562	382	7	levels	level	NOUN
ejpam-5562	382	8	in	in	ADP
ejpam-5562	382	9	different	different	ADJ
ejpam-5562	382	10	parts	part	NOUN
ejpam-5562	382	11	of	of	ADP
ejpam-5562	382	12	the	the	DET
ejpam-5562	382	13	brain	brain	NOUN
ejpam-5562	382	14	(	(	PUNCT
ejpam-5562	382	15	particularly	particularly	ADV
ejpam-5562	382	16	the	the	DET
ejpam-5562	382	17	substantia	substantia	NOUN
ejpam-5562	382	18	nigra	nigra	NOUN
ejpam-5562	382	19	and	and	CCONJ
ejpam-5562	382	20	striatum	striatum	NOUN
ejpam-5562	382	21	)	)	PUNCT
ejpam-5562	382	22	fluctuate	fluctuate	NOUN
ejpam-5562	382	23	due	due	ADP
ejpam-5562	382	24	to	to	ADP
ejpam-5562	382	25	the	the	DET
ejpam-5562	382	26	degeneration	degeneration	NOUN
ejpam-5562	382	27	of	of	ADP
ejpam-5562	382	28	dopamine	dopamine	NOUN
ejpam-5562	382	29	producing	produce	VERB
ejpam-5562	382	30	neurons	neuron	NOUN
ejpam-5562	382	31	.	.	PUNCT
ejpam-5562	383	1	by	by	ADP
ejpam-5562	383	2	letting	let	VERB
ejpam-5562	383	3	ψ(x	ψ(x	PROPN
ejpam-5562	383	4	,	,	PUNCT
ejpam-5562	383	5	t	t	PROPN
ejpam-5562	383	6	)	)	PUNCT
ejpam-5562	383	7	represent	represent	VERB
ejpam-5562	383	8	dopamine	dopamine	NOUN
ejpam-5562	383	9	concentration	concentration	NOUN
ejpam-5562	383	10	across	across	ADP
ejpam-5562	383	11	various	various	ADJ
ejpam-5562	383	12	spatial	spatial	ADJ
ejpam-5562	383	13	locations	location	NOUN
ejpam-5562	383	14	χ	χ	NOUN
ejpam-5562	383	15	in	in	ADP
ejpam-5562	383	16	the	the	DET
ejpam-5562	383	17	brain	brain	NOUN
ejpam-5562	383	18	,	,	PUNCT
ejpam-5562	383	19	this	this	DET
ejpam-5562	383	20	model	model	NOUN
ejpam-5562	383	21	can	can	AUX
ejpam-5562	383	22	capture	capture	VERB
ejpam-5562	383	23	the	the	DET
ejpam-5562	383	24	spatial	spatial	ADJ
ejpam-5562	383	25	spread	spread	NOUN
ejpam-5562	383	26	and	and	CCONJ
ejpam-5562	383	27	temporal	temporal	ADJ
ejpam-5562	383	28	evolution	evolution	NOUN
ejpam-5562	383	29	of	of	ADP
ejpam-5562	383	30	dopamine	dopamine	NOUN
ejpam-5562	383	31	loss	loss	NOUN
ejpam-5562	383	32	.	.	PUNCT
ejpam-5562	384	1	understanding	understand	VERB
ejpam-5562	384	2	how	how	SCONJ
ejpam-5562	384	3	dopamine	dopamine	NOUN
ejpam-5562	384	4	depletion	depletion	NOUN
ejpam-5562	384	5	varies	vary	VERB
ejpam-5562	384	6	over	over	ADP
ejpam-5562	384	7	time	time	NOUN
ejpam-5562	384	8	and	and	CCONJ
ejpam-5562	384	9	space	space	NOUN
ejpam-5562	384	10	can	can	AUX
ejpam-5562	384	11	aid	aid	VERB
ejpam-5562	384	12	in	in	ADP
ejpam-5562	384	13	predicting	predict	VERB
ejpam-5562	384	14	symptom	symptom	NOUN
ejpam-5562	384	15	onset	onset	NOUN
ejpam-5562	384	16	and	and	CCONJ
ejpam-5562	384	17	severity	severity	NOUN
ejpam-5562	384	18	in	in	ADP
ejpam-5562	384	19	different	different	ADJ
ejpam-5562	384	20	brain	brain	NOUN
ejpam-5562	384	21	regions	region	NOUN
ejpam-5562	384	22	.	.	PUNCT
ejpam-5562	385	1	it	it	PRON
ejpam-5562	385	2	may	may	AUX
ejpam-5562	385	3	also	also	ADV
ejpam-5562	385	4	guide	guide	VERB
ejpam-5562	385	5	targeted	targeted	ADJ
ejpam-5562	385	6	therapies	therapy	NOUN
ejpam-5562	385	7	,	,	PUNCT
ejpam-5562	385	8	such	such	ADJ
ejpam-5562	385	9	as	as	ADP
ejpam-5562	385	10	localized	localized	ADJ
ejpam-5562	385	11	deep	deep	ADJ
ejpam-5562	385	12	brain	brain	NOUN
ejpam-5562	385	13	stimulation	stimulation	NOUN
ejpam-5562	385	14	(	(	PUNCT
ejpam-5562	385	15	dbs	dbs	PROPN
ejpam-5562	385	16	)	)	PUNCT
ejpam-5562	385	17	or	or	CCONJ
ejpam-5562	385	18	focused	focused	ADJ
ejpam-5562	385	19	drug	drug	NOUN
ejpam-5562	385	20	delivery	delivery	NOUN
ejpam-5562	385	21	,	,	PUNCT
ejpam-5562	385	22	to	to	ADP
ejpam-5562	385	23	specific	specific	ADJ
ejpam-5562	385	24	areas	area	NOUN
ejpam-5562	385	25	exhibiting	exhibit	VERB
ejpam-5562	385	26	the	the	DET
ejpam-5562	385	27	highest	high	ADJ
ejpam-5562	385	28	rates	rate	NOUN
ejpam-5562	385	29	of	of	ADP
ejpam-5562	385	30	dopamine	dopamine	NOUN
ejpam-5562	385	31	loss	loss	NOUN
ejpam-5562	385	32	.	.	PUNCT
ejpam-5562	386	1	consider	consider	VERB
ejpam-5562	386	2	the	the	DET
ejpam-5562	386	3	dopamine	dopamine	NOUN
ejpam-5562	386	4	concentration	concentration	NOUN
ejpam-5562	386	5	model	model	NOUN
ejpam-5562	386	6	with	with	ADP
ejpam-5562	386	7	two	two	NUM
ejpam-5562	386	8	delay	delay	NOUN
ejpam-5562	386	9	differential	differential	ADJ
ejpam-5562	386	10	equations	equation	NOUN
ejpam-5562	386	11	[	[	X
ejpam-5562	386	12	40	40	NUM
ejpam-5562	386	13	–	–	SYM
ejpam-5562	386	14	42	42	NUM
ejpam-5562	386	15	]	]	PUNCT
ejpam-5562	386	16	ψ′(t	ψ′(t	PROPN
ejpam-5562	386	17	)	)	PUNCT
ejpam-5562	386	18	=	=	SYM
ejpam-5562	386	19	−0.5ψ(t	−0.5ψ(t	X
ejpam-5562	386	20	)	)	PUNCT
ejpam-5562	387	1	+	+	CCONJ
ejpam-5562	387	2	0.3ψ(t−	0.3ψ(t−	NOUN
ejpam-5562	387	3	5	5	NUM
ejpam-5562	387	4	)	)	PUNCT
ejpam-5562	387	5	+	+	NUM
ejpam-5562	387	6	0.7ψ(t−	0.7ψ(t−	PROPN
ejpam-5562	387	7	2	2	NUM
ejpam-5562	387	8	)	)	PUNCT
ejpam-5562	387	9	(	(	PUNCT
ejpam-5562	387	10	14	14	NUM
ejpam-5562	387	11	)	)	PUNCT
ejpam-5562	387	12	with	with	ADP
ejpam-5562	387	13	the	the	DET
ejpam-5562	387	14	initial	initial	ADJ
ejpam-5562	387	15	condition	condition	NOUN
ejpam-5562	387	16	ψ(0	ψ(0	NOUN
ejpam-5562	387	17	)	)	PUNCT
ejpam-5562	387	18	=	=	SYM
ejpam-5562	387	19	1	1	NUM
ejpam-5562	387	20	(	(	PUNCT
ejpam-5562	387	21	baseline	baseline	ADJ
ejpam-5562	387	22	dopamine	dopamine	NOUN
ejpam-5562	387	23	level	level	NOUN
ejpam-5562	387	24	)	)	PUNCT
ejpam-5562	387	25	.	.	PUNCT
ejpam-5562	388	1	here	here	ADV
ejpam-5562	388	2	,	,	PUNCT
ejpam-5562	388	3	the	the	DET
ejpam-5562	388	4	state	state	NOUN
ejpam-5562	388	5	variable	variable	NOUN
ejpam-5562	388	6	ψ(t	ψ(t	PROPN
ejpam-5562	388	7	)	)	PUNCT
ejpam-5562	388	8	represents	represent	VERB
ejpam-5562	388	9	dopamine	dopamine	NOUN
ejpam-5562	388	10	concentration	concentration	NOUN
ejpam-5562	388	11	in	in	ADP
ejpam-5562	388	12	a	a	DET
ejpam-5562	388	13	specific	specific	ADJ
ejpam-5562	388	14	region	region	NOUN
ejpam-5562	388	15	of	of	ADP
ejpam-5562	388	16	the	the	DET
ejpam-5562	388	17	brain	brain	NOUN
ejpam-5562	388	18	,	,	PUNCT
ejpam-5562	388	19	such	such	ADJ
ejpam-5562	388	20	as	as	ADP
ejpam-5562	388	21	the	the	DET
ejpam-5562	388	22	striatum	striatum	NOUN
ejpam-5562	388	23	,	,	PUNCT
ejpam-5562	388	24	which	which	PRON
ejpam-5562	388	25	is	be	AUX
ejpam-5562	388	26	critically	critically	ADV
ejpam-5562	388	27	affected	affect	VERB
ejpam-5562	388	28	in	in	ADP
ejpam-5562	388	29	parkinson	parkinson	NOUN
ejpam-5562	388	30	’s	’s	PART
ejpam-5562	388	31	disease	disease	NOUN
ejpam-5562	388	32	.	.	PUNCT
ejpam-5562	389	1	the	the	DET
ejpam-5562	389	2	constants	constant	NOUN
ejpam-5562	389	3	c1	c1	PROPN
ejpam-5562	389	4	,	,	PUNCT
ejpam-5562	389	5	c2	c2	PROPN
ejpam-5562	389	6	,	,	PUNCT
ejpam-5562	389	7	and	and	CCONJ
ejpam-5562	389	8	c3	c3	PROPN
ejpam-5562	389	9	describe	describe	VERB
ejpam-5562	389	10	how	how	SCONJ
ejpam-5562	389	11	current	current	ADJ
ejpam-5562	389	12	and	and	CCONJ
ejpam-5562	389	13	delayed	delayed	ADJ
ejpam-5562	389	14	concentrations	concentration	NOUN
ejpam-5562	389	15	of	of	ADP
ejpam-5562	389	16	dopamine	dopamine	NOUN
ejpam-5562	389	17	influence	influence	NOUN
ejpam-5562	389	18	its	its	PRON
ejpam-5562	389	19	rate	rate	NOUN
ejpam-5562	389	20	of	of	ADP
ejpam-5562	389	21	change	change	NOUN
ejpam-5562	389	22	.	.	PUNCT
ejpam-5562	390	1	τ1	τ1	NOUN
ejpam-5562	390	2	is	be	AUX
ejpam-5562	390	3	the	the	DET
ejpam-5562	390	4	delay	delay	NOUN
ejpam-5562	390	5	associated	associate	VERB
ejpam-5562	390	6	with	with	ADP
ejpam-5562	390	7	the	the	DET
ejpam-5562	390	8	brain	brain	NOUN
ejpam-5562	390	9	’s	’s	PART
ejpam-5562	390	10	slower	slow	ADJ
ejpam-5562	390	11	dopamine	dopamine	NOUN
ejpam-5562	390	12	production	production	NOUN
ejpam-5562	390	13	in	in	ADP
ejpam-5562	390	14	response	response	NOUN
ejpam-5562	390	15	to	to	PART
ejpam-5562	390	16	neuron	neuron	VERB
ejpam-5562	390	17	loss	loss	NOUN
ejpam-5562	390	18	,	,	PUNCT
ejpam-5562	390	19	while	while	SCONJ
ejpam-5562	390	20	τ2	τ2	NOUN
ejpam-5562	390	21	represents	represent	VERB
ejpam-5562	390	22	the	the	DET
ejpam-5562	390	23	medication	medication	NOUN
ejpam-5562	390	24	response	response	NOUN
ejpam-5562	390	25	delay	delay	NOUN
ejpam-5562	390	26	,	,	PUNCT
ejpam-5562	390	27	indicating	indicate	VERB
ejpam-5562	390	28	that	that	SCONJ
ejpam-5562	390	29	the	the	DET
ejpam-5562	390	30	impact	impact	NOUN
ejpam-5562	390	31	of	of	ADP
ejpam-5562	390	32	medication	medication	NOUN
ejpam-5562	390	33	on	on	ADP
ejpam-5562	390	34	dopamine	dopamine	NOUN
ejpam-5562	390	35	levels	level	NOUN
ejpam-5562	390	36	is	be	AUX
ejpam-5562	390	37	delayed	delay	VERB
ejpam-5562	390	38	aft	aft	NOUN
ejpam-5562	390	39	er	er	INTJ
ejpam-5562	390	40	administration	administration	NOUN
ejpam-5562	390	41	.	.	PUNCT
ejpam-5562	391	1	g.	g.	PROPN
ejpam-5562	391	2	veerabathiran	veerabathiran	PROPN
ejpam-5562	391	3	,	,	PUNCT
ejpam-5562	391	4	g.	g.	PROPN
ejpam-5562	391	5	j.	j.	PROPN
ejpam-5562	391	6	kumar	kumar	PROPN
ejpam-5562	391	7	,	,	PUNCT
ejpam-5562	391	8	s.	s.	PROPN
ejpam-5562	391	9	donganont	donganont	PROPN
ejpam-5562	391	10	/	/	SYM
ejpam-5562	391	11	eur	eur	PROPN
ejpam-5562	391	12	.	.	PUNCT
ejpam-5562	392	1	j.	j.	PROPN
ejpam-5562	392	2	pure	pure	PROPN
ejpam-5562	392	3	appl	appl	PROPN
ejpam-5562	392	4	.	.	PROPN
ejpam-5562	392	5	math	math	PROPN
ejpam-5562	392	6	,	,	PUNCT
ejpam-5562	392	7	18	18	NUM
ejpam-5562	392	8	(	(	PUNCT
ejpam-5562	392	9	2	2	NUM
ejpam-5562	392	10	)	)	PUNCT
ejpam-5562	392	11	(	(	PUNCT
ejpam-5562	392	12	2025	2025	NUM
ejpam-5562	392	13	)	)	PUNCT
ejpam-5562	392	14	,	,	PUNCT
ejpam-5562	392	15	5562	5562	NUM
ejpam-5562	392	16	16	16	NUM
ejpam-5562	392	17	of	of	ADP
ejpam-5562	392	18	20	20	NUM
ejpam-5562	392	19	assuming	assume	VERB
ejpam-5562	392	20	c1	c1	PROPN
ejpam-5562	392	21	=	=	PUNCT
ejpam-5562	393	1	−0.5	−0.5	PROPN
ejpam-5562	393	2	represents	represent	VERB
ejpam-5562	393	3	a	a	DET
ejpam-5562	393	4	decay	decay	NOUN
ejpam-5562	393	5	factor	factor	NOUN
ejpam-5562	393	6	due	due	ADP
ejpam-5562	393	7	to	to	ADP
ejpam-5562	393	8	natural	natural	ADJ
ejpam-5562	393	9	dopamine	dopamine	NOUN
ejpam-5562	393	10	degradation	degradation	NOUN
ejpam-5562	393	11	,	,	PUNCT
ejpam-5562	393	12	c2	c2	PROPN
ejpam-5562	393	13	=	=	NOUN
ejpam-5562	393	14	0.3	0.3	NUM
ejpam-5562	393	15	captures	capture	VERB
ejpam-5562	393	16	the	the	DET
ejpam-5562	393	17	brain	brain	NOUN
ejpam-5562	393	18	’s	’s	PART
ejpam-5562	393	19	attempt	attempt	NOUN
ejpam-5562	393	20	to	to	PART
ejpam-5562	393	21	restore	restore	VERB
ejpam-5562	393	22	dopamine	dopamine	NOUN
ejpam-5562	393	23	over	over	ADP
ejpam-5562	393	24	time	time	NOUN
ejpam-5562	393	25	,	,	PUNCT
ejpam-5562	393	26	albeit	albeit	SCONJ
ejpam-5562	393	27	with	with	ADP
ejpam-5562	393	28	a	a	DET
ejpam-5562	393	29	delayed	delay	VERB
ejpam-5562	393	30	effect	effect	NOUN
ejpam-5562	393	31	(	(	PUNCT
ejpam-5562	393	32	τ1	τ1	NOUN
ejpam-5562	393	33	)	)	PUNCT
ejpam-5562	393	34	due	due	ADP
ejpam-5562	393	35	to	to	PART
ejpam-5562	393	36	neuron	neuron	VERB
ejpam-5562	393	37	degradation	degradation	NOUN
ejpam-5562	393	38	.	.	PUNCT
ejpam-5562	394	1	additionally	additionally	ADV
ejpam-5562	394	2	,	,	PUNCT
ejpam-5562	394	3	c3	c3	PROPN
ejpam-5562	394	4	=	=	NOUN
ejpam-5562	394	5	0.7	0.7	NUM
ejpam-5562	394	6	represents	represent	VERB
ejpam-5562	394	7	the	the	DET
ejpam-5562	394	8	effect	effect	NOUN
ejpam-5562	394	9	of	of	ADP
ejpam-5562	394	10	dopamine	dopamine	NOUN
ejpam-5562	394	11	boosting	boost	VERB
ejpam-5562	394	12	medication	medication	NOUN
ejpam-5562	394	13	,	,	PUNCT
ejpam-5562	394	14	which	which	PRON
ejpam-5562	394	15	also	also	ADV
ejpam-5562	394	16	has	have	VERB
ejpam-5562	394	17	a	a	DET
ejpam-5562	394	18	delay	delay	NOUN
ejpam-5562	394	19	of	of	ADP
ejpam-5562	394	20	τ2	τ2	NOUN
ejpam-5562	394	21	.	.	PUNCT
ejpam-5562	395	1	here	here	ADV
ejpam-5562	395	2	,	,	PUNCT
ejpam-5562	395	3	τ1	τ1	NOUN
ejpam-5562	395	4	=	=	SYM
ejpam-5562	395	5	5	5	NUM
ejpam-5562	395	6	hours	hour	NOUN
ejpam-5562	395	7	reflects	reflect	VERB
ejpam-5562	395	8	the	the	DET
ejpam-5562	395	9	delay	delay	NOUN
ejpam-5562	395	10	in	in	ADP
ejpam-5562	395	11	the	the	DET
ejpam-5562	395	12	natural	natural	ADJ
ejpam-5562	395	13	response	response	NOUN
ejpam-5562	395	14	,	,	PUNCT
ejpam-5562	395	15	while	while	SCONJ
ejpam-5562	395	16	τ2	τ2	NOUN
ejpam-5562	395	17	=	=	SYM
ejpam-5562	395	18	2	2	NUM
ejpam-5562	395	19	hours	hour	NOUN
ejpam-5562	395	20	indicates	indicate	VERB
ejpam-5562	395	21	the	the	DET
ejpam-5562	395	22	medication	medication	NOUN
ejpam-5562	395	23	response	response	NOUN
ejpam-5562	395	24	delay	delay	NOUN
ejpam-5562	395	25	.	.	PUNCT
ejpam-5562	396	1	to	to	PART
ejpam-5562	396	2	solve	solve	VERB
ejpam-5562	396	3	the	the	DET
ejpam-5562	396	4	model	model	NOUN
ejpam-5562	396	5	,	,	PUNCT
ejpam-5562	396	6	we	we	PRON
ejpam-5562	396	7	apply	apply	VERB
ejpam-5562	396	8	the	the	DET
ejpam-5562	396	9	laplace	laplace	NOUN
ejpam-5562	396	10	transform	transform	NOUN
ejpam-5562	396	11	to	to	ADP
ejpam-5562	396	12	(	(	PUNCT
ejpam-5562	396	13	14	14	NUM
ejpam-5562	396	14	)	)	PUNCT
ejpam-5562	396	15	,	,	PUNCT
ejpam-5562	396	16	transforming	transform	VERB
ejpam-5562	396	17	it	it	PRON
ejpam-5562	396	18	into	into	ADP
ejpam-5562	396	19	an	an	DET
ejpam-5562	396	20	algebraic	algebraic	ADJ
ejpam-5562	396	21	equation	equation	NOUN
ejpam-5562	396	22	that	that	PRON
ejpam-5562	396	23	can	can	AUX
ejpam-5562	396	24	be	be	AUX
ejpam-5562	396	25	more	more	ADV
ejpam-5562	396	26	easily	easily	ADV
ejpam-5562	396	27	manipulated	manipulate	VERB
ejpam-5562	396	28	.	.	PUNCT
ejpam-5562	397	1	the	the	DET
ejpam-5562	397	2	laplace	laplace	NOUN
ejpam-5562	397	3	transform	transform	NOUN
ejpam-5562	397	4	of	of	ADP
ejpam-5562	397	5	the	the	DET
ejpam-5562	397	6	function	function	NOUN
ejpam-5562	397	7	ψ(s	ψ(s	PROPN
ejpam-5562	397	8	,	,	PUNCT
ejpam-5562	397	9	t	t	PROPN
ejpam-5562	397	10	)	)	PUNCT
ejpam-5562	397	11	is	be	AUX
ejpam-5562	397	12	defined	define	VERB
ejpam-5562	397	13	as	as	ADP
ejpam-5562	397	14	:	:	PUNCT
ejpam-5562	397	15	ψ(s	ψ(s	PROPN
ejpam-5562	397	16	)	)	PUNCT
ejpam-5562	397	17	=	=	PUNCT
ejpam-5562	398	1	ψ(0	ψ(0	NOUN
ejpam-5562	398	2	)	)	PUNCT
ejpam-5562	399	1	s+	s+	NUM
ejpam-5562	399	2	0.5−	0.5−	NOUN
ejpam-5562	399	3	0.3e−sτ1	0.3e−sτ1	PUNCT
ejpam-5562	400	1	−	−	X
ejpam-5562	400	2	0.7e−sτ2	0.7e−sτ2	NOUN
ejpam-5562	400	3	.	.	PUNCT
ejpam-5562	401	1	applying	apply	VERB
ejpam-5562	401	2	the	the	DET
ejpam-5562	401	3	laplace	laplace	NOUN
ejpam-5562	401	4	transform	transform	NOUN
ejpam-5562	401	5	allows	allow	VERB
ejpam-5562	401	6	us	we	PRON
ejpam-5562	401	7	to	to	PART
ejpam-5562	401	8	express	express	VERB
ejpam-5562	401	9	the	the	DET
ejpam-5562	401	10	solution	solution	NOUN
ejpam-5562	401	11	in	in	ADP
ejpam-5562	401	12	the	the	DET
ejpam-5562	401	13	s	s	PART
ejpam-5562	401	14	domain	domain	NOUN
ejpam-5562	401	15	,	,	PUNCT
ejpam-5562	401	16	where	where	SCONJ
ejpam-5562	401	17	we	we	PRON
ejpam-5562	401	18	can	can	AUX
ejpam-5562	401	19	solve	solve	VERB
ejpam-5562	401	20	for	for	ADP
ejpam-5562	401	21	ψ(s	ψ(s	PROPN
ejpam-5562	401	22	,	,	PUNCT
ejpam-5562	401	23	t	t	PROPN
ejpam-5562	401	24	)	)	PUNCT
ejpam-5562	401	25	and	and	CCONJ
ejpam-5562	401	26	subsequently	subsequently	ADV
ejpam-5562	401	27	perform	perform	VERB
ejpam-5562	401	28	the	the	DET
ejpam-5562	401	29	inverse	inverse	NOUN
ejpam-5562	401	30	laplace	laplace	NOUN
ejpam-5562	401	31	transform	transform	NOUN
ejpam-5562	401	32	to	to	PART
ejpam-5562	401	33	obtain	obtain	VERB
ejpam-5562	401	34	ψ(t	ψ(t	PROPN
ejpam-5562	401	35	)	)	PUNCT
ejpam-5562	402	1	=	=	SYM
ejpam-5562	402	2	l−1	l−1	PROPN
ejpam-5562	402	3	[	[	PUNCT
ejpam-5562	402	4	ψ(0	ψ(0	NOUN
ejpam-5562	402	5	)	)	PUNCT
ejpam-5562	402	6	s+	s+	NUM
ejpam-5562	402	7	0.5−	0.5−	NOUN
ejpam-5562	402	8	0.3e−sτ1	0.3e−sτ1	PUNCT
ejpam-5562	403	1	−	−	X
ejpam-5562	403	2	0.7e−sτ2	0.7e−sτ2	NOUN
ejpam-5562	403	3	]	]	PUNCT
ejpam-5562	403	4	.	.	PUNCT
ejpam-5562	404	1	once	once	SCONJ
ejpam-5562	404	2	we	we	PRON
ejpam-5562	404	3	have	have	AUX
ejpam-5562	404	4	derived	derive	VERB
ejpam-5562	404	5	the	the	DET
ejpam-5562	404	6	solution	solution	NOUN
ejpam-5562	404	7	in	in	ADP
ejpam-5562	404	8	the	the	DET
ejpam-5562	404	9	s	s	PART
ejpam-5562	404	10	domain	domain	NOUN
ejpam-5562	404	11	,	,	PUNCT
ejpam-5562	404	12	we	we	PRON
ejpam-5562	404	13	can	can	AUX
ejpam-5562	404	14	apply	apply	VERB
ejpam-5562	404	15	binomial	binomial	ADJ
ejpam-5562	404	16	theorem	theorem	VERB
ejpam-5562	404	17	,	,	PUNCT
ejpam-5562	404	18	such	such	ADJ
ejpam-5562	404	19	as	as	ADP
ejpam-5562	404	20	the	the	DET
ejpam-5562	404	21	inverse	inverse	ADJ
ejpam-5562	404	22	laplace	laplace	NOUN
ejpam-5562	404	23	transform	transform	NOUN
ejpam-5562	404	24	,	,	PUNCT
ejpam-5562	404	25	to	to	PART
ejpam-5562	404	26	obtain	obtain	VERB
ejpam-5562	404	27	the	the	DET
ejpam-5562	404	28	time	time	NOUN
ejpam-5562	404	29	domain	domain	NOUN
ejpam-5562	404	30	solution	solution	NOUN
ejpam-5562	404	31	ψ(t	ψ(t	PROPN
ejpam-5562	404	32	)	)	PUNCT
ejpam-5562	404	33	.	.	PUNCT
ejpam-5562	405	1	figure	figure	VERB
ejpam-5562	405	2	4	4	NUM
ejpam-5562	405	3	:	:	PUNCT
ejpam-5562	405	4	spatiotemporal	spatiotemporal	ADJ
ejpam-5562	405	5	model	model	NOUN
ejpam-5562	405	6	of	of	ADP
ejpam-5562	405	7	dopamine	dopamine	NOUN
ejpam-5562	405	8	concentration	concentration	NOUN
ejpam-5562	405	9	in	in	ADP
ejpam-5562	405	10	parkinson	parkinson	NOUN
ejpam-5562	405	11	’s	’s	PART
ejpam-5562	405	12	disease	disease	NOUN
ejpam-5562	405	13	from	from	ADP
ejpam-5562	405	14	figure	figure	NOUN
ejpam-5562	405	15	4	4	NUM
ejpam-5562	405	16	,	,	PUNCT
ejpam-5562	405	17	increasing	increase	VERB
ejpam-5562	405	18	dopamine	dopamine	NOUN
ejpam-5562	405	19	concentration	concentration	NOUN
ejpam-5562	405	20	can	can	AUX
ejpam-5562	405	21	have	have	VERB
ejpam-5562	405	22	several	several	ADJ
ejpam-5562	405	23	significant	significant	ADJ
ejpam-5562	405	24	impacts	impact	NOUN
ejpam-5562	405	25	,	,	PUNCT
ejpam-5562	405	26	particularly	particularly	ADV
ejpam-5562	405	27	in	in	ADP
ejpam-5562	405	28	the	the	DET
ejpam-5562	405	29	context	context	NOUN
ejpam-5562	405	30	of	of	ADP
ejpam-5562	405	31	parkinson	parkinson	NOUN
ejpam-5562	405	32	’s	’s	PART
ejpam-5562	405	33	disease	disease	NOUN
ejpam-5562	405	34	and	and	CCONJ
ejpam-5562	405	35	other	other	ADJ
ejpam-5562	405	36	neurological	neurological	ADJ
ejpam-5562	405	37	conditions	condition	NOUN
ejpam-5562	405	38	.	.	PUNCT
ejpam-5562	406	1	increased	increase	VERB
ejpam-5562	406	2	dopamine	dopamine	NOUN
ejpam-5562	406	3	levels	level	NOUN
ejpam-5562	406	4	can	can	AUX
ejpam-5562	406	5	alleviate	alleviate	VERB
ejpam-5562	406	6	motor	motor	NOUN
ejpam-5562	406	7	symptoms	symptom	NOUN
ejpam-5562	406	8	such	such	ADJ
ejpam-5562	406	9	as	as	ADP
ejpam-5562	406	10	tremors	tremor	NOUN
ejpam-5562	406	11	,	,	PUNCT
ejpam-5562	406	12	rigidity	rigidity	NOUN
ejpam-5562	406	13	,	,	PUNCT
ejpam-5562	406	14	and	and	CCONJ
ejpam-5562	406	15	bradykinesia	bradykinesia	PROPN
ejpam-5562	406	16	(	(	PUNCT
ejpam-5562	406	17	slowness	slowness	NOUN
ejpam-5562	406	18	of	of	ADP
ejpam-5562	406	19	movement	movement	NOUN
ejpam-5562	406	20	)	)	PUNCT
ejpam-5562	406	21	in	in	ADP
ejpam-5562	406	22	parkinson	parkinson	NOUN
ejpam-5562	406	23	’s	’s	PART
ejpam-5562	406	24	disease	disease	NOUN
ejpam-5562	406	25	.	.	PUNCT
ejpam-5562	407	1	higher	high	ADJ
ejpam-5562	407	2	dopamine	dopamine	NOUN
ejpam-5562	407	3	concentrations	concentration	NOUN
ejpam-5562	407	4	can	can	AUX
ejpam-5562	407	5	also	also	ADV
ejpam-5562	407	6	improve	improve	VERB
ejpam-5562	407	7	coordination	coordination	NOUN
ejpam-5562	407	8	and	and	CCONJ
ejpam-5562	407	9	balance	balance	NOUN
ejpam-5562	407	10	,	,	PUNCT
ejpam-5562	407	11	which	which	PRON
ejpam-5562	407	12	are	be	AUX
ejpam-5562	407	13	oft	oft	ADV
ejpam-5562	407	14	en	en	X
ejpam-5562	407	15	impaired	impair	VERB
ejpam-5562	407	16	in	in	ADP
ejpam-5562	407	17	these	these	DET
ejpam-5562	407	18	patients	patient	NOUN
ejpam-5562	407	19	.	.	PUNCT
ejpam-5562	408	1	furthermore	furthermore	ADV
ejpam-5562	408	2	,	,	PUNCT
ejpam-5562	408	3	increased	increase	VERB
ejpam-5562	408	4	dopamine	dopamine	NOUN
ejpam-5562	408	5	can	can	AUX
ejpam-5562	408	6	enhance	enhance	VERB
ejpam-5562	408	7	motivation	motivation	NOUN
ejpam-5562	408	8	and	and	CCONJ
ejpam-5562	408	9	the	the	DET
ejpam-5562	408	10	ability	ability	NOUN
ejpam-5562	408	11	to	to	PART
ejpam-5562	408	12	experience	experience	VERB
ejpam-5562	408	13	pleasure	pleasure	NOUN
ejpam-5562	408	14	,	,	PUNCT
ejpam-5562	408	15	thereby	thereby	ADV
ejpam-5562	408	16	combating	combat	VERB
ejpam-5562	408	17	symptoms	symptom	NOUN
ejpam-5562	408	18	of	of	ADP
ejpam-5562	408	19	depression	depression	NOUN
ejpam-5562	408	20	and	and	CCONJ
ejpam-5562	408	21	apathy	apathy	NOUN
ejpam-5562	408	22	that	that	PRON
ejpam-5562	408	23	are	be	AUX
ejpam-5562	408	24	common	common	ADJ
ejpam-5562	408	25	in	in	ADP
ejpam-5562	408	26	parkinson	parkinson	NOUN
ejpam-5562	408	27	’s	’s	PART
ejpam-5562	408	28	disease	disease	NOUN
ejpam-5562	408	29	.	.	PUNCT
ejpam-5562	409	1	g.	g.	PROPN
ejpam-5562	409	2	veerabathiran	veerabathiran	PROPN
ejpam-5562	409	3	,	,	PUNCT
ejpam-5562	409	4	g.	g.	PROPN
ejpam-5562	409	5	j.	j.	PROPN
ejpam-5562	409	6	kumar	kumar	PROPN
ejpam-5562	409	7	,	,	PUNCT
ejpam-5562	409	8	s.	s.	PROPN
ejpam-5562	409	9	donganont	donganont	PROPN
ejpam-5562	409	10	/	/	SYM
ejpam-5562	409	11	eur	eur	PROPN
ejpam-5562	409	12	.	.	PUNCT
ejpam-5562	410	1	j.	j.	PROPN
ejpam-5562	410	2	pure	pure	PROPN
ejpam-5562	410	3	appl	appl	PROPN
ejpam-5562	410	4	.	.	PROPN
ejpam-5562	410	5	math	math	PROPN
ejpam-5562	410	6	,	,	PUNCT
ejpam-5562	410	7	18	18	NUM
ejpam-5562	410	8	(	(	PUNCT
ejpam-5562	410	9	2	2	NUM
ejpam-5562	410	10	)	)	PUNCT
ejpam-5562	410	11	(	(	PUNCT
ejpam-5562	410	12	2025	2025	NUM
ejpam-5562	410	13	)	)	PUNCT
ejpam-5562	410	14	,	,	PUNCT
ejpam-5562	410	15	5562	5562	NUM
ejpam-5562	410	16	17	17	NUM
ejpam-5562	410	17	of	of	ADP
ejpam-5562	410	18	20	20	NUM
ejpam-5562	410	19	additionally	additionally	ADV
ejpam-5562	410	20	,	,	PUNCT
ejpam-5562	410	21	elevated	elevated	ADJ
ejpam-5562	410	22	dopamine	dopamine	NOUN
ejpam-5562	410	23	levels	level	NOUN
ejpam-5562	410	24	can	can	AUX
ejpam-5562	410	25	improve	improve	VERB
ejpam-5562	410	26	the	the	DET
ejpam-5562	410	27	effectiveness	effectiveness	NOUN
ejpam-5562	410	28	of	of	ADP
ejpam-5562	410	29	medications	medication	NOUN
ejpam-5562	410	30	used	use	VERB
ejpam-5562	410	31	to	to	PART
ejpam-5562	410	32	treat	treat	VERB
ejpam-5562	410	33	parkinson	parkinson	NOUN
ejpam-5562	410	34	’s	’s	PART
ejpam-5562	410	35	disease	disease	NOUN
ejpam-5562	410	36	,	,	PUNCT
ejpam-5562	410	37	such	such	ADJ
ejpam-5562	410	38	as	as	ADP
ejpam-5562	410	39	levodopa	levodopa	NOUN
ejpam-5562	410	40	,	,	PUNCT
ejpam-5562	410	41	which	which	PRON
ejpam-5562	410	42	is	be	AUX
ejpam-5562	410	43	converted	convert	VERB
ejpam-5562	410	44	into	into	ADP
ejpam-5562	410	45	dopamine	dopamine	NOUN
ejpam-5562	410	46	in	in	ADP
ejpam-5562	410	47	the	the	DET
ejpam-5562	410	48	brain	brain	NOUN
ejpam-5562	410	49	.	.	PUNCT
ejpam-5562	411	1	however	however	ADV
ejpam-5562	411	2	,	,	PUNCT
ejpam-5562	411	3	excessively	excessively	ADV
ejpam-5562	411	4	high	high	ADJ
ejpam-5562	411	5	dopamine	dopamine	NOUN
ejpam-5562	411	6	concentrations	concentration	NOUN
ejpam-5562	411	7	can	can	AUX
ejpam-5562	411	8	lead	lead	VERB
ejpam-5562	411	9	to	to	ADP
ejpam-5562	411	10	side	side	ADJ
ejpam-5562	411	11	effects	effect	NOUN
ejpam-5562	411	12	such	such	ADJ
ejpam-5562	411	13	as	as	ADP
ejpam-5562	411	14	hyperactivity	hyperactivity	NOUN
ejpam-5562	411	15	,	,	PUNCT
ejpam-5562	411	16	impulsivity	impulsivity	NOUN
ejpam-5562	411	17	,	,	PUNCT
ejpam-5562	411	18	and	and	CCONJ
ejpam-5562	411	19	psychosis	psychosis	NOUN
ejpam-5562	411	20	,	,	PUNCT
ejpam-5562	411	21	making	make	VERB
ejpam-5562	411	22	careful	careful	ADJ
ejpam-5562	411	23	monitoring	monitoring	NOUN
ejpam-5562	411	24	essential	essential	ADJ
ejpam-5562	411	25	for	for	ADP
ejpam-5562	411	26	patients	patient	NOUN
ejpam-5562	411	27	receiving	receive	VERB
ejpam-5562	411	28	dopaminergic	dopaminergic	ADJ
ejpam-5562	411	29	therapy	therapy	NOUN
ejpam-5562	411	30	.	.	PUNCT
ejpam-5562	412	1	overall	overall	ADV
ejpam-5562	412	2	,	,	PUNCT
ejpam-5562	412	3	increasing	increase	VERB
ejpam-5562	412	4	dopamine	dopamine	NOUN
ejpam-5562	412	5	concentration	concentration	NOUN
ejpam-5562	412	6	can	can	AUX
ejpam-5562	412	7	significantly	significantly	ADV
ejpam-5562	412	8	enhance	enhance	VERB
ejpam-5562	412	9	the	the	DET
ejpam-5562	412	10	quality	quality	NOUN
ejpam-5562	412	11	of	of	ADP
ejpam-5562	412	12	life	life	NOUN
ejpam-5562	412	13	for	for	ADP
ejpam-5562	412	14	individuals	individual	NOUN
ejpam-5562	412	15	with	with	ADP
ejpam-5562	412	16	parkinson	parkinson	NOUN
ejpam-5562	412	17	’s	’s	PART
ejpam-5562	412	18	disease	disease	NOUN
ejpam-5562	412	19	and	and	CCONJ
ejpam-5562	412	20	related	related	ADJ
ejpam-5562	412	21	disorders	disorder	NOUN
ejpam-5562	412	22	.	.	PUNCT
ejpam-5562	413	1	however	however	ADV
ejpam-5562	413	2	,	,	PUNCT
ejpam-5562	413	3	careful	careful	ADJ
ejpam-5562	413	4	management	management	NOUN
ejpam-5562	413	5	is	be	AUX
ejpam-5562	413	6	crucial	crucial	ADJ
ejpam-5562	413	7	to	to	PART
ejpam-5562	413	8	balance	balance	VERB
ejpam-5562	413	9	the	the	DET
ejpam-5562	413	10	benefits	benefit	NOUN
ejpam-5562	413	11	against	against	ADP
ejpam-5562	413	12	potential	potential	ADJ
ejpam-5562	413	13	side	side	NOUN
ejpam-5562	413	14	effects	effect	NOUN
ejpam-5562	413	15	.	.	PUNCT
ejpam-5562	414	1	strategies	strategy	NOUN
ejpam-5562	414	2	for	for	ADP
ejpam-5562	414	3	increasing	increase	VERB
ejpam-5562	414	4	dopamine	dopamine	NOUN
ejpam-5562	414	5	levels	level	NOUN
ejpam-5562	414	6	may	may	AUX
ejpam-5562	414	7	include	include	VERB
ejpam-5562	414	8	pharmacological	pharmacological	ADJ
ejpam-5562	414	9	interventions	intervention	NOUN
ejpam-5562	414	10	,	,	PUNCT
ejpam-5562	414	11	lifestyle	lifestyle	NOUN
ejpam-5562	414	12	changes	change	NOUN
ejpam-5562	414	13	,	,	PUNCT
ejpam-5562	414	14	and	and	CCONJ
ejpam-5562	414	15	therapeutic	therapeutic	ADJ
ejpam-5562	414	16	approaches	approach	NOUN
ejpam-5562	414	17	aimed	aim	VERB
ejpam-5562	414	18	at	at	ADP
ejpam-5562	414	19	enhancing	enhance	VERB
ejpam-5562	414	20	dopamine	dopamine	NOUN
ejpam-5562	414	21	function	function	NOUN
ejpam-5562	414	22	within	within	ADP
ejpam-5562	414	23	the	the	DET
ejpam-5562	414	24	brain	brain	NOUN
ejpam-5562	414	25	.	.	PUNCT
ejpam-5562	415	1	6	6	X
ejpam-5562	415	2	.	.	X
ejpam-5562	415	3	conclusion	conclusion	NOUN
ejpam-5562	415	4	in	in	ADP
ejpam-5562	415	5	this	this	DET
ejpam-5562	415	6	study	study	NOUN
ejpam-5562	415	7	,	,	PUNCT
ejpam-5562	415	8	we	we	PRON
ejpam-5562	415	9	explored	explore	VERB
ejpam-5562	415	10	the	the	DET
ejpam-5562	415	11	stability	stability	NOUN
ejpam-5562	415	12	analysis	analysis	NOUN
ejpam-5562	415	13	of	of	ADP
ejpam-5562	415	14	a	a	DET
ejpam-5562	415	15	parkinson	parkinson	NOUN
ejpam-5562	415	16	’s	’s	PART
ejpam-5562	415	17	disease	disease	NOUN
ejpam-5562	415	18	model	model	NOUN
ejpam-5562	415	19	governed	govern	VERB
ejpam-5562	415	20	by	by	ADP
ejpam-5562	415	21	multiple	multiple	ADJ
ejpam-5562	415	22	delay	delay	NOUN
ejpam-5562	415	23	differential	differential	ADJ
ejpam-5562	415	24	equations	equation	NOUN
ejpam-5562	415	25	(	(	PUNCT
ejpam-5562	415	26	ddes	ddes	PROPN
ejpam-5562	415	27	)	)	PUNCT
ejpam-5562	415	28	using	use	VERB
ejpam-5562	415	29	the	the	DET
ejpam-5562	415	30	laplace	laplace	NOUN
ejpam-5562	415	31	transform	transform	NOUN
ejpam-5562	415	32	method	method	NOUN
ejpam-5562	415	33	.	.	PUNCT
ejpam-5562	416	1	our	our	PRON
ejpam-5562	416	2	approach	approach	NOUN
ejpam-5562	416	3	effectively	effectively	ADV
ejpam-5562	416	4	simplifies	simplify	VERB
ejpam-5562	416	5	the	the	DET
ejpam-5562	416	6	complex	complex	ADJ
ejpam-5562	416	7	nature	nature	NOUN
ejpam-5562	416	8	of	of	ADP
ejpam-5562	416	9	ddes	dde	NOUN
ejpam-5562	416	10	by	by	ADP
ejpam-5562	416	11	converting	convert	VERB
ejpam-5562	416	12	them	they	PRON
ejpam-5562	416	13	into	into	ADP
ejpam-5562	416	14	algebraic	algebraic	ADJ
ejpam-5562	416	15	equations	equation	NOUN
ejpam-5562	416	16	,	,	PUNCT
ejpam-5562	416	17	allowing	allow	VERB
ejpam-5562	416	18	for	for	ADP
ejpam-5562	416	19	a	a	DET
ejpam-5562	416	20	more	more	ADV
ejpam-5562	416	21	accessible	accessible	ADJ
ejpam-5562	416	22	path	path	NOUN
ejpam-5562	416	23	to	to	ADP
ejpam-5562	416	24	explicit	explicit	ADJ
ejpam-5562	416	25	solutions	solution	NOUN
ejpam-5562	416	26	.	.	PUNCT
ejpam-5562	417	1	the	the	DET
ejpam-5562	417	2	stability	stability	NOUN
ejpam-5562	417	3	characteristics	characteristic	NOUN
ejpam-5562	417	4	of	of	ADP
ejpam-5562	417	5	these	these	DET
ejpam-5562	417	6	solutions	solution	NOUN
ejpam-5562	417	7	are	be	AUX
ejpam-5562	417	8	critical	critical	ADJ
ejpam-5562	417	9	in	in	ADP
ejpam-5562	417	10	understanding	understand	VERB
ejpam-5562	417	11	the	the	DET
ejpam-5562	417	12	progression	progression	NOUN
ejpam-5562	417	13	of	of	ADP
ejpam-5562	417	14	parkinson	parkinson	NOUN
ejpam-5562	417	15	’s	’s	PART
ejpam-5562	417	16	disease	disease	NOUN
ejpam-5562	417	17	and	and	CCONJ
ejpam-5562	417	18	the	the	DET
ejpam-5562	417	19	effect	effect	NOUN
ejpam-5562	417	20	of	of	ADP
ejpam-5562	417	21	treatment	treatment	NOUN
ejpam-5562	417	22	strategies	strategy	NOUN
ejpam-5562	417	23	.	.	PUNCT
ejpam-5562	418	1	stable	stable	ADJ
ejpam-5562	418	2	and	and	CCONJ
ejpam-5562	418	3	asymptotically	asymptotically	ADV
ejpam-5562	418	4	stable	stable	ADJ
ejpam-5562	418	5	solutions	solution	NOUN
ejpam-5562	418	6	indicate	indicate	VERB
ejpam-5562	418	7	better	well	ADJ
ejpam-5562	418	8	disease	disease	NOUN
ejpam-5562	418	9	management	management	NOUN
ejpam-5562	418	10	,	,	PUNCT
ejpam-5562	418	11	while	while	SCONJ
ejpam-5562	418	12	instability	instability	NOUN
ejpam-5562	418	13	points	point	VERB
ejpam-5562	418	14	to	to	ADP
ejpam-5562	418	15	potential	potential	ADJ
ejpam-5562	418	16	challenges	challenge	NOUN
ejpam-5562	418	17	that	that	PRON
ejpam-5562	418	18	require	require	VERB
ejpam-5562	418	19	more	more	ADV
ejpam-5562	418	20	aggressive	aggressive	ADJ
ejpam-5562	418	21	intervention	intervention	NOUN
ejpam-5562	418	22	.	.	PUNCT
ejpam-5562	419	1	the	the	DET
ejpam-5562	419	2	analysis	analysis	NOUN
ejpam-5562	419	3	demonstrated	demonstrate	VERB
ejpam-5562	419	4	that	that	SCONJ
ejpam-5562	419	5	the	the	DET
ejpam-5562	419	6	laplace	laplace	NOUN
ejpam-5562	419	7	transform	transform	NOUN
ejpam-5562	419	8	method	method	NOUN
ejpam-5562	419	9	offers	offer	VERB
ejpam-5562	419	10	a	a	DET
ejpam-5562	419	11	systematic	systematic	ADJ
ejpam-5562	419	12	and	and	CCONJ
ejpam-5562	419	13	powerful	powerful	ADJ
ejpam-5562	419	14	tool	tool	NOUN
ejpam-5562	419	15	for	for	ADP
ejpam-5562	419	16	solving	solve	VERB
ejpam-5562	419	17	complex	complex	ADJ
ejpam-5562	419	18	ddes	dde	NOUN
ejpam-5562	419	19	,	,	PUNCT
ejpam-5562	419	20	shedding	shed	VERB
ejpam-5562	419	21	light	light	NOUN
ejpam-5562	419	22	on	on	ADP
ejpam-5562	419	23	the	the	DET
ejpam-5562	419	24	role	role	NOUN
ejpam-5562	419	25	of	of	ADP
ejpam-5562	419	26	delays	delay	NOUN
ejpam-5562	419	27	τ1	τ1	NOUN
ejpam-5562	419	28	and	and	CCONJ
ejpam-5562	419	29	τ2	τ2	NOUN
ejpam-5562	419	30	and	and	CCONJ
ejpam-5562	419	31	their	their	PRON
ejpam-5562	419	32	impact	impact	NOUN
ejpam-5562	419	33	on	on	ADP
ejpam-5562	419	34	the	the	DET
ejpam-5562	419	35	system	system	NOUN
ejpam-5562	419	36	’s	’s	PART
ejpam-5562	419	37	stability	stability	NOUN
ejpam-5562	419	38	.	.	PUNCT
ejpam-5562	420	1	this	this	DET
ejpam-5562	420	2	insight	insight	NOUN
ejpam-5562	420	3	can	can	AUX
ejpam-5562	420	4	be	be	AUX
ejpam-5562	420	5	invaluable	invaluable	ADJ
ejpam-5562	420	6	in	in	ADP
ejpam-5562	420	7	therapeutic	therapeutic	ADJ
ejpam-5562	420	8	protocols	protocol	NOUN
ejpam-5562	420	9	,	,	PUNCT
ejpam-5562	420	10	such	such	ADJ
ejpam-5562	420	11	as	as	ADP
ejpam-5562	420	12	medication	medication	NOUN
ejpam-5562	420	13	timing	timing	NOUN
ejpam-5562	420	14	and	and	CCONJ
ejpam-5562	420	15	dosing	dosing	NOUN
ejpam-5562	420	16	,	,	PUNCT
ejpam-5562	420	17	to	to	PART
ejpam-5562	420	18	achieve	achieve	VERB
ejpam-5562	420	19	better	well	ADJ
ejpam-5562	420	20	outcomes	outcome	NOUN
ejpam-5562	420	21	for	for	ADP
ejpam-5562	420	22	patients	patient	NOUN
ejpam-5562	420	23	with	with	ADP
ejpam-5562	420	24	parkinson	parkinson	NOUN
ejpam-5562	420	25	’s	’s	PART
ejpam-5562	420	26	disease	disease	NOUN
ejpam-5562	420	27	.	.	PUNCT
ejpam-5562	421	1	our	our	PRON
ejpam-5562	421	2	findings	finding	NOUN
ejpam-5562	421	3	suggest	suggest	VERB
ejpam-5562	421	4	that	that	SCONJ
ejpam-5562	421	5	the	the	DET
ejpam-5562	421	6	method	method	NOUN
ejpam-5562	421	7	has	have	VERB
ejpam-5562	421	8	broad	broad	ADJ
ejpam-5562	421	9	applicability	applicability	NOUN
ejpam-5562	421	10	,	,	PUNCT
ejpam-5562	421	11	not	not	PART
ejpam-5562	421	12	only	only	ADV
ejpam-5562	421	13	in	in	ADP
ejpam-5562	421	14	theoretical	theoretical	ADJ
ejpam-5562	421	15	explorations	exploration	NOUN
ejpam-5562	421	16	but	but	CCONJ
ejpam-5562	421	17	also	also	ADV
ejpam-5562	421	18	in	in	ADP
ejpam-5562	421	19	practical	practical	ADJ
ejpam-5562	421	20	applications	application	NOUN
ejpam-5562	421	21	,	,	PUNCT
ejpam-5562	421	22	where	where	SCONJ
ejpam-5562	421	23	understanding	understand	VERB
ejpam-5562	421	24	the	the	DET
ejpam-5562	421	25	dynamic	dynamic	ADJ
ejpam-5562	421	26	behaviour	behaviour	NOUN
ejpam-5562	421	27	of	of	ADP
ejpam-5562	421	28	delayed	delay	VERB
ejpam-5562	421	29	systems	system	NOUN
ejpam-5562	421	30	is	be	AUX
ejpam-5562	421	31	essential	essential	ADJ
ejpam-5562	421	32	.	.	PUNCT
ejpam-5562	422	1	finally	finally	ADV
ejpam-5562	422	2	,	,	PUNCT
ejpam-5562	422	3	the	the	DET
ejpam-5562	422	4	impact	impact	NOUN
ejpam-5562	422	5	of	of	ADP
ejpam-5562	422	6	the	the	DET
ejpam-5562	422	7	spatiotemporal	spatiotemporal	ADJ
ejpam-5562	422	8	model	model	NOUN
ejpam-5562	422	9	of	of	ADP
ejpam-5562	422	10	dopamine	dopamine	NOUN
ejpam-5562	422	11	concentration	concentration	NOUN
ejpam-5562	422	12	in	in	ADP
ejpam-5562	422	13	parkinson	parkinson	NOUN
ejpam-5562	422	14	’s	’s	PART
ejpam-5562	422	15	disease	disease	NOUN
ejpam-5562	422	16	using	use	VERB
ejpam-5562	422	17	the	the	DET
ejpam-5562	422	18	laplace	laplace	NOUN
ejpam-5562	422	19	transform	transform	NOUN
ejpam-5562	422	20	method	method	NOUN
ejpam-5562	422	21	was	be	AUX
ejpam-5562	422	22	successfully	successfully	ADV
ejpam-5562	422	23	demonstrated	demonstrate	VERB
ejpam-5562	422	24	,	,	PUNCT
ejpam-5562	422	25	highlighting	highlight	VERB
ejpam-5562	422	26	its	its	PRON
ejpam-5562	422	27	potential	potential	NOUN
ejpam-5562	422	28	to	to	PART
ejpam-5562	422	29	predict	predict	VERB
ejpam-5562	422	30	symptom	symptom	NOUN
ejpam-5562	422	31	fluctuations	fluctuation	NOUN
ejpam-5562	422	32	,	,	PUNCT
ejpam-5562	422	33	treatment	treatment	NOUN
ejpam-5562	422	34	strategies	strategy	NOUN
ejpam-5562	422	35	,	,	PUNCT
ejpam-5562	422	36	and	and	CCONJ
ejpam-5562	422	37	enhance	enhance	VERB
ejpam-5562	422	38	the	the	DET
ejpam-5562	422	39	understanding	understanding	NOUN
ejpam-5562	422	40	of	of	ADP
ejpam-5562	422	41	disease	disease	NOUN
ejpam-5562	422	42	progression	progression	NOUN
ejpam-5562	422	43	,	,	PUNCT
ejpam-5562	422	44	ultimately	ultimately	ADV
ejpam-5562	422	45	improving	improve	VERB
ejpam-5562	422	46	patient	patient	ADJ
ejpam-5562	422	47	management	management	NOUN
ejpam-5562	422	48	and	and	CCONJ
ejpam-5562	422	49	quality	quality	NOUN
ejpam-5562	422	50	of	of	ADP
ejpam-5562	422	51	life	life	NOUN
ejpam-5562	422	52	.	.	PUNCT
ejpam-5562	423	1	author	author	NOUN
ejpam-5562	423	2	contributions	contribution	VERB
ejpam-5562	423	3	the	the	DET
ejpam-5562	423	4	authors	author	NOUN
ejpam-5562	423	5	equally	equally	ADV
ejpam-5562	423	6	conceived	conceive	VERB
ejpam-5562	423	7	of	of	ADP
ejpam-5562	423	8	the	the	DET
ejpam-5562	423	9	study	study	NOUN
ejpam-5562	423	10	,	,	PUNCT
ejpam-5562	423	11	participated	participate	VERB
ejpam-5562	423	12	in	in	ADP
ejpam-5562	423	13	its	its	PRON
ejpam-5562	423	14	design	design	NOUN
ejpam-5562	423	15	and	and	CCONJ
ejpam-5562	423	16	coordination	coordination	NOUN
ejpam-5562	423	17	,	,	PUNCT
ejpam-5562	423	18	drafted	draft	VERB
ejpam-5562	423	19	the	the	DET
ejpam-5562	423	20	manuscript	manuscript	NOUN
ejpam-5562	423	21	,	,	PUNCT
ejpam-5562	423	22	participated	participate	VERB
ejpam-5562	423	23	in	in	ADP
ejpam-5562	423	24	the	the	DET
ejpam-5562	423	25	sequence	sequence	NOUN
ejpam-5562	423	26	alignment	alignment	NOUN
ejpam-5562	423	27	,	,	PUNCT
ejpam-5562	423	28	and	and	CCONJ
ejpam-5562	423	29	read	read	VERB
ejpam-5562	423	30	and	and	CCONJ
ejpam-5562	423	31	approved	approve	VERB
ejpam-5562	423	32	the	the	DET
ejpam-5562	423	33	final	final	ADJ
ejpam-5562	423	34	manuscript	manuscript	NOUN
ejpam-5562	423	35	.	.	PUNCT
ejpam-5562	424	1	funding	funding	NOUN
ejpam-5562	424	2	this	this	DET
ejpam-5562	424	3	work	work	NOUN
ejpam-5562	424	4	was	be	AUX
ejpam-5562	424	5	supported	support	VERB
ejpam-5562	424	6	by	by	ADP
ejpam-5562	424	7	the	the	DET
ejpam-5562	424	8	university	university	NOUN
ejpam-5562	424	9	of	of	ADP
ejpam-5562	424	10	phayao	phayao	PROPN
ejpam-5562	424	11	and	and	CCONJ
ejpam-5562	424	12	thailand	thailand	PROPN
ejpam-5562	424	13	science	science	PROPN
ejpam-5562	424	14	research	research	PROPN
ejpam-5562	424	15	and	and	CCONJ
ejpam-5562	424	16	innovation	innovation	NOUN
ejpam-5562	424	17	fund	fund	NOUN
ejpam-5562	424	18	(	(	PUNCT
ejpam-5562	424	19	fundamental	fundamental	ADJ
ejpam-5562	424	20	fund	fund	NOUN
ejpam-5562	424	21	2025	2025	NUM
ejpam-5562	424	22	,	,	PUNCT
ejpam-5562	424	23	grant	grant	VERB
ejpam-5562	424	24	no	no	NOUN
ejpam-5562	424	25	.	.	PUNCT
ejpam-5562	425	1	5020/2567	5020/2567	NUM
ejpam-5562	425	2	)	)	PUNCT
ejpam-5562	425	3	.	.	PUNCT
ejpam-5562	426	1	g.	g.	PROPN
ejpam-5562	426	2	veerabathiran	veerabathiran	PROPN
ejpam-5562	426	3	,	,	PUNCT
ejpam-5562	426	4	g.	g.	PROPN
ejpam-5562	426	5	j.	j.	PROPN
ejpam-5562	426	6	kumar	kumar	PROPN
ejpam-5562	426	7	,	,	PUNCT
ejpam-5562	426	8	s.	s.	PROPN
ejpam-5562	426	9	donganont	donganont	PROPN
ejpam-5562	426	10	/	/	SYM
ejpam-5562	426	11	eur	eur	PROPN
ejpam-5562	426	12	.	.	PUNCT
ejpam-5562	427	1	j.	j.	PROPN
ejpam-5562	427	2	pure	pure	PROPN
ejpam-5562	427	3	appl	appl	PROPN
ejpam-5562	427	4	.	.	PROPN
ejpam-5562	427	5	math	math	PROPN
ejpam-5562	427	6	,	,	PUNCT
ejpam-5562	427	7	18	18	NUM
ejpam-5562	427	8	(	(	PUNCT
ejpam-5562	427	9	2	2	NUM
ejpam-5562	427	10	)	)	PUNCT
ejpam-5562	427	11	(	(	PUNCT
ejpam-5562	427	12	2025	2025	NUM
ejpam-5562	427	13	)	)	PUNCT
ejpam-5562	427	14	,	,	PUNCT
ejpam-5562	427	15	5562	5562	NUM
ejpam-5562	427	16	18	18	NUM
ejpam-5562	427	17	of	of	ADP
ejpam-5562	427	18	20	20	NUM
ejpam-5562	427	19	conflicts	conflict	NOUN
ejpam-5562	427	20	of	of	ADP
ejpam-5562	427	21	interest	interest	NOUN
ejpam-5562	427	22	:	:	PUNCT
ejpam-5562	427	23	the	the	DET
ejpam-5562	427	24	authors	author	NOUN
ejpam-5562	427	25	declare	declare	VERB
ejpam-5562	427	26	that	that	SCONJ
ejpam-5562	427	27	they	they	PRON
ejpam-5562	427	28	have	have	VERB
ejpam-5562	427	29	no	no	DET
ejpam-5562	427	30	competing	compete	VERB
ejpam-5562	427	31	interests	interest	NOUN
ejpam-5562	427	32	.	.	PUNCT
ejpam-5562	428	1	references	reference	NOUN
ejpam-5562	428	2	[	[	X
ejpam-5562	428	3	1	1	X
ejpam-5562	428	4	]	]	PUNCT
ejpam-5562	428	5	erkan	erkan	PROPN
ejpam-5562	428	6	cimen	cimen	PROPN
ejpam-5562	428	7	and	and	CCONJ
ejpam-5562	428	8	sevket	sevket	NOUN
ejpam-5562	428	9	uncu	uncu	ADJ
ejpam-5562	428	10	.	.	PUNCT
ejpam-5562	429	1	on	on	ADP
ejpam-5562	429	2	the	the	DET
ejpam-5562	429	3	solution	solution	NOUN
ejpam-5562	429	4	of	of	ADP
ejpam-5562	429	5	the	the	DET
ejpam-5562	429	6	delay	delay	NOUN
ejpam-5562	429	7	differential	differential	ADJ
ejpam-5562	429	8	equation	equation	NOUN
ejpam-5562	429	9	via	via	ADP
ejpam-5562	429	10	laplace	laplace	NOUN
ejpam-5562	429	11	transform	transform	NOUN
ejpam-5562	429	12	.	.	PUNCT
ejpam-5562	429	13	communications	communication	NOUN
ejpam-5562	429	14	in	in	ADP
ejpam-5562	429	15	mathematics	mathematic	NOUN
ejpam-5562	429	16	and	and	CCONJ
ejpam-5562	429	17	applications	application	NOUN
ejpam-5562	429	18	,	,	PUNCT
ejpam-5562	429	19	11(3):379	11(3):379	NUM
ejpam-5562	429	20	,	,	PUNCT
ejpam-5562	429	21	2020	2020	NUM
ejpam-5562	429	22	.	.	PUNCT
ejpam-5562	430	1	[	[	X
ejpam-5562	430	2	2	2	NUM
ejpam-5562	430	3	]	]	X
ejpam-5562	430	4	michal	michal	PROPN
ejpam-5562	430	5	pospisil	pospisil	PROPN
ejpam-5562	430	6	and	and	CCONJ
ejpam-5562	430	7	frantisek	frantisek	PROPN
ejpam-5562	430	8	jaros	jaro	NOUN
ejpam-5562	430	9	.	.	PUNCT
ejpam-5562	431	1	on	on	ADP
ejpam-5562	431	2	the	the	DET
ejpam-5562	431	3	representation	representation	NOUN
ejpam-5562	431	4	of	of	ADP
ejpam-5562	431	5	solutions	solution	NOUN
ejpam-5562	431	6	of	of	ADP
ejpam-5562	431	7	delayed	delay	VERB
ejpam-5562	431	8	differential	differential	ADJ
ejpam-5562	431	9	equations	equation	NOUN
ejpam-5562	431	10	via	via	ADP
ejpam-5562	431	11	laplace	laplace	NOUN
ejpam-5562	431	12	transform	transform	NOUN
ejpam-5562	431	13	.	.	PUNCT
ejpam-5562	431	14	electronic	electronic	ADJ
ejpam-5562	431	15	journal	journal	NOUN
ejpam-5562	431	16	of	of	ADP
ejpam-5562	431	17	qualitative	qualitative	ADJ
ejpam-5562	431	18	theory	theory	NOUN
ejpam-5562	431	19	of	of	ADP
ejpam-5562	431	20	differential	differential	ADJ
ejpam-5562	431	21	equations	equation	NOUN
ejpam-5562	431	22	,	,	PUNCT
ejpam-5562	431	23	2016(117):1–13	2016(117):1–13	NUM
ejpam-5562	431	24	,	,	PUNCT
ejpam-5562	431	25	2016	2016	NUM
ejpam-5562	431	26	.	.	PUNCT
ejpam-5562	432	1	[	[	X
ejpam-5562	432	2	3	3	X
ejpam-5562	432	3	]	]	X
ejpam-5562	432	4	reem	reem	PROPN
ejpam-5562	432	5	alrebdi	alrebdi	PROPN
ejpam-5562	432	6	and	and	CCONJ
ejpam-5562	432	7	hind	hind	NOUN
ejpam-5562	432	8	k	k	PROPN
ejpam-5562	432	9	al	al	PROPN
ejpam-5562	432	10	-	-	PUNCT
ejpam-5562	432	11	jeaid	jeaid	PROPN
ejpam-5562	432	12	.	.	PUNCT
ejpam-5562	433	1	accurate	accurate	ADJ
ejpam-5562	433	2	solution	solution	NOUN
ejpam-5562	433	3	for	for	ADP
ejpam-5562	433	4	the	the	DET
ejpam-5562	433	5	pantograph	pantograph	NOUN
ejpam-5562	433	6	delay	delay	NOUN
ejpam-5562	433	7	differential	differential	ADJ
ejpam-5562	433	8	equation	equation	NOUN
ejpam-5562	433	9	via	via	ADP
ejpam-5562	433	10	laplace	laplace	NOUN
ejpam-5562	433	11	transform	transform	NOUN
ejpam-5562	433	12	.	.	PUNCT
ejpam-5562	434	1	mathematics	mathematic	NOUN
ejpam-5562	434	2	,	,	PUNCT
ejpam-5562	434	3	11(9):2031	11(9):2031	NUM
ejpam-5562	434	4	,	,	PUNCT
ejpam-5562	434	5	2023	2023	NUM
ejpam-5562	434	6	.	.	PUNCT
ejpam-5562	435	1	[	[	X
ejpam-5562	435	2	4	4	NUM
ejpam-5562	435	3	]	]	X
ejpam-5562	435	4	daniela	daniela	PROPN
ejpam-5562	435	5	marian	marian	PROPN
ejpam-5562	435	6	.	.	PUNCT
ejpam-5562	435	7	laplace	laplace	PROPN
ejpam-5562	435	8	transform	transform	NOUN
ejpam-5562	435	9	and	and	CCONJ
ejpam-5562	435	10	semi	semi	NOUN
ejpam-5562	435	11	-	-	NOUN
ejpam-5562	435	12	hyers	hyer	NOUN
ejpam-5562	435	13	–	–	PUNCT
ejpam-5562	435	14	ulam	ulam	X
ejpam-5562	435	15	–	–	PUNCT
ejpam-5562	435	16	rassias	rassia	NOUN
ejpam-5562	435	17	stability	stability	NOUN
ejpam-5562	435	18	of	of	ADP
ejpam-5562	435	19	some	some	DET
ejpam-5562	435	20	delay	delay	NOUN
ejpam-5562	435	21	differential	differential	ADJ
ejpam-5562	435	22	equations	equation	NOUN
ejpam-5562	435	23	.	.	PUNCT
ejpam-5562	436	1	mathematics	mathematic	NOUN
ejpam-5562	436	2	,	,	PUNCT
ejpam-5562	436	3	9(24):3260	9(24):3260	NUM
ejpam-5562	436	4	,	,	PUNCT
ejpam-5562	436	5	2021	2021	NUM
ejpam-5562	436	6	.	.	PUNCT
ejpam-5562	437	1	[	[	X
ejpam-5562	437	2	5	5	NUM
ejpam-5562	437	3	]	]	PUNCT
ejpam-5562	437	4	alfred	alfred	PROPN
ejpam-5562	437	5	daci	daci	PROPN
ejpam-5562	437	6	,	,	PUNCT
ejpam-5562	437	7	saimir	saimir	NOUN
ejpam-5562	437	8	tola	tola	NOUN
ejpam-5562	437	9	,	,	PUNCT
ejpam-5562	437	10	and	and	CCONJ
ejpam-5562	437	11	roberto	roberto	PROPN
ejpam-5562	437	12	datja	datja	PROPN
ejpam-5562	437	13	.	.	PUNCT
ejpam-5562	438	1	laplace	laplace	NOUN
ejpam-5562	438	2	transform	transform	VERB
ejpam-5562	438	3	in	in	ADP
ejpam-5562	438	4	difference	difference	NOUN
ejpam-5562	438	5	equations	equation	NOUN
ejpam-5562	438	6	and	and	CCONJ
ejpam-5562	438	7	differential	differential	ADJ
ejpam-5562	438	8	–	–	PUNCT
ejpam-5562	438	9	difference	difference	NOUN
ejpam-5562	438	10	equations	equation	NOUN
ejpam-5562	438	11	.	.	PUNCT
ejpam-5562	439	1	journal	journal	NOUN
ejpam-5562	439	2	of	of	ADP
ejpam-5562	439	3	multidisciplinary	multidisciplinary	ADJ
ejpam-5562	439	4	engineering	engineering	NOUN
ejpam-5562	439	5	science	science	NOUN
ejpam-5562	439	6	studies	study	NOUN
ejpam-5562	439	7	,	,	PUNCT
ejpam-5562	439	8	8(1):4245–4247	8(1):4245–4247	PROPN
ejpam-5562	439	9	,	,	PUNCT
ejpam-5562	439	10	2022	2022	NUM
ejpam-5562	439	11	.	.	PUNCT
ejpam-5562	440	1	[	[	X
ejpam-5562	440	2	6	6	NUM
ejpam-5562	440	3	]	]	X
ejpam-5562	440	4	gilbert	gilbert	PROPN
ejpam-5562	440	5	kerr	kerr	PROPN
ejpam-5562	440	6	,	,	PUNCT
ejpam-5562	440	7	nehemiah	nehemiah	PROPN
ejpam-5562	440	8	lopez	lopez	PROPN
ejpam-5562	440	9	,	,	PUNCT
ejpam-5562	440	10	and	and	CCONJ
ejpam-5562	440	11	gilberto	gilberto	PROPN
ejpam-5562	440	12	gonzález	gonzález	PROPN
ejpam-5562	440	13	-	-	PUNCT
ejpam-5562	440	14	parra	parra	PROPN
ejpam-5562	440	15	.	.	PUNCT
ejpam-5562	441	1	analytical	analytical	ADJ
ejpam-5562	441	2	solutions	solution	NOUN
ejpam-5562	441	3	of	of	ADP
ejpam-5562	441	4	systems	system	NOUN
ejpam-5562	441	5	of	of	ADP
ejpam-5562	441	6	linear	linear	PROPN
ejpam-5562	441	7	delay	delay	NOUN
ejpam-5562	441	8	differential	differential	NOUN
ejpam-5562	441	9	equations	equation	NOUN
ejpam-5562	441	10	by	by	ADP
ejpam-5562	441	11	the	the	DET
ejpam-5562	441	12	laplace	laplace	NOUN
ejpam-5562	441	13	transform	transform	NOUN
ejpam-5562	441	14	:	:	PUNCT
ejpam-5562	441	15	featuring	feature	VERB
ejpam-5562	441	16	limit	limit	NOUN
ejpam-5562	441	17	cycles	cycle	NOUN
ejpam-5562	441	18	.	.	PUNCT
ejpam-5562	442	1	mathematical	mathematical	ADJ
ejpam-5562	442	2	and	and	CCONJ
ejpam-5562	442	3	computational	computational	ADJ
ejpam-5562	442	4	applications	application	NOUN
ejpam-5562	442	5	,	,	PUNCT
ejpam-5562	442	6	29(1):11	29(1):11	NUM
ejpam-5562	442	7	,	,	PUNCT
ejpam-5562	442	8	2024	2024	NUM
ejpam-5562	442	9	.	.	PUNCT
ejpam-5562	443	1	[	[	X
ejpam-5562	443	2	7	7	X
ejpam-5562	443	3	]	]	X
ejpam-5562	443	4	michelle	michelle	PROPN
ejpam-5562	443	5	sherman	sherman	PROPN
ejpam-5562	443	6	,	,	PUNCT
ejpam-5562	443	7	gilbert	gilbert	PROPN
ejpam-5562	443	8	kerr	kerr	PROPN
ejpam-5562	443	9	,	,	PUNCT
ejpam-5562	443	10	and	and	CCONJ
ejpam-5562	443	11	gilberto	gilberto	PROPN
ejpam-5562	443	12	gonzález	gonzález	PROPN
ejpam-5562	443	13	-	-	PUNCT
ejpam-5562	443	14	parra	parra	PROPN
ejpam-5562	443	15	.	.	PUNCT
ejpam-5562	444	1	analytical	analytical	ADJ
ejpam-5562	444	2	solutions	solution	NOUN
ejpam-5562	444	3	of	of	ADP
ejpam-5562	444	4	linear	linear	ADJ
ejpam-5562	444	5	delay	delay	NOUN
ejpam-5562	444	6	-	-	PUNCT
ejpam-5562	444	7	differential	differential	NOUN
ejpam-5562	444	8	equations	equation	NOUN
ejpam-5562	444	9	with	with	ADP
ejpam-5562	444	10	dirac	dirac	NOUN
ejpam-5562	444	11	delta	delta	PROPN
ejpam-5562	444	12	function	function	NOUN
ejpam-5562	444	13	inputs	input	NOUN
ejpam-5562	444	14	using	use	VERB
ejpam-5562	444	15	the	the	DET
ejpam-5562	444	16	laplace	laplace	NOUN
ejpam-5562	444	17	transform	transform	NOUN
ejpam-5562	444	18	.	.	PUNCT
ejpam-5562	445	1	computational	computational	ADJ
ejpam-5562	445	2	and	and	CCONJ
ejpam-5562	445	3	applied	applied	ADJ
ejpam-5562	445	4	mathematics	mathematic	NOUN
ejpam-5562	445	5	,	,	PUNCT
ejpam-5562	445	6	42(6):268	42(6):268	NUM
ejpam-5562	445	7	,	,	PUNCT
ejpam-5562	445	8	2023	2023	NUM
ejpam-5562	445	9	.	.	PUNCT
ejpam-5562	446	1	[	[	X
ejpam-5562	446	2	8	8	NUM
ejpam-5562	446	3	]	]	X
ejpam-5562	446	4	tamás	tamás	PROPN
ejpam-5562	446	5	kalmár	kalmár	PROPN
ejpam-5562	446	6	-	-	PUNCT
ejpam-5562	446	7	nagy	nagy	PROPN
ejpam-5562	446	8	.	.	PUNCT
ejpam-5562	447	1	stability	stability	NOUN
ejpam-5562	447	2	analysis	analysis	NOUN
ejpam-5562	447	3	of	of	ADP
ejpam-5562	447	4	delay	delay	NOUN
ejpam-5562	447	5	-	-	PUNCT
ejpam-5562	447	6	differential	differential	NOUN
ejpam-5562	447	7	equations	equation	NOUN
ejpam-5562	447	8	by	by	ADP
ejpam-5562	447	9	the	the	DET
ejpam-5562	447	10	method	method	NOUN
ejpam-5562	447	11	of	of	ADP
ejpam-5562	447	12	steps	step	NOUN
ejpam-5562	447	13	and	and	CCONJ
ejpam-5562	447	14	inverse	inverse	NOUN
ejpam-5562	447	15	laplace	laplace	NOUN
ejpam-5562	447	16	transform	transform	NOUN
ejpam-5562	447	17	.	.	PUNCT
ejpam-5562	448	1	differential	differential	ADJ
ejpam-5562	448	2	equations	equation	NOUN
ejpam-5562	448	3	and	and	CCONJ
ejpam-5562	448	4	dynamical	dynamical	ADJ
ejpam-5562	448	5	systems	system	NOUN
ejpam-5562	448	6	,	,	PUNCT
ejpam-5562	448	7	17:185–200	17:185–200	PROPN
ejpam-5562	448	8	,	,	PUNCT
ejpam-5562	448	9	2009	2009	NUM
ejpam-5562	448	10	.	.	PUNCT
ejpam-5562	449	1	[	[	X
ejpam-5562	449	2	9	9	X
ejpam-5562	449	3	]	]	PUNCT
ejpam-5562	449	4	hn	hn	PROPN
ejpam-5562	449	5	agiza	agiza	PROPN
ejpam-5562	449	6	,	,	PUNCT
ejpam-5562	449	7	ma	ma	PROPN
ejpam-5562	449	8	sohaly	sohaly	PROPN
ejpam-5562	449	9	,	,	PUNCT
ejpam-5562	449	10	and	and	CCONJ
ejpam-5562	449	11	ma	ma	PROPN
ejpam-5562	449	12	elfouly	elfouly	ADV
ejpam-5562	449	13	.	.	PUNCT
ejpam-5562	450	1	small	small	ADJ
ejpam-5562	450	2	two	two	NUM
ejpam-5562	450	3	-	-	PUNCT
ejpam-5562	450	4	delay	delay	NOUN
ejpam-5562	450	5	differential	differential	ADJ
ejpam-5562	450	6	equations	equation	NOUN
ejpam-5562	450	7	for	for	ADP
ejpam-5562	450	8	parkinson	parkinson	NOUN
ejpam-5562	450	9	’s	’s	PART
ejpam-5562	450	10	disease	disease	NOUN
ejpam-5562	450	11	models	model	NOUN
ejpam-5562	450	12	using	use	VERB
ejpam-5562	450	13	taylor	taylor	PROPN
ejpam-5562	450	14	series	series	PROPN
ejpam-5562	450	15	transform	transform	PROPN
ejpam-5562	450	16	.	.	PUNCT
ejpam-5562	451	1	indian	indian	PROPN
ejpam-5562	451	2	journal	journal	PROPN
ejpam-5562	451	3	of	of	ADP
ejpam-5562	451	4	physics	physics	PROPN
ejpam-5562	451	5	,	,	PUNCT
ejpam-5562	451	6	97(1):39–46	97(1):39–46	NUM
ejpam-5562	451	7	,	,	PUNCT
ejpam-5562	451	8	2023	2023	NUM
ejpam-5562	451	9	.	.	PUNCT
ejpam-5562	452	1	[	[	X
ejpam-5562	452	2	10	10	NUM
ejpam-5562	452	3	]	]	X
ejpam-5562	452	4	michelle	michelle	PROPN
ejpam-5562	452	5	sherman	sherman	PROPN
ejpam-5562	452	6	,	,	PUNCT
ejpam-5562	452	7	gilbert	gilbert	PROPN
ejpam-5562	452	8	kerr	kerr	PROPN
ejpam-5562	452	9	,	,	PUNCT
ejpam-5562	452	10	and	and	CCONJ
ejpam-5562	452	11	gilberto	gilberto	PROPN
ejpam-5562	452	12	gonzález	gonzález	PROPN
ejpam-5562	452	13	-	-	PUNCT
ejpam-5562	452	14	parra	parra	PROPN
ejpam-5562	452	15	.	.	PUNCT
ejpam-5562	453	1	comparison	comparison	NOUN
ejpam-5562	453	2	of	of	ADP
ejpam-5562	453	3	symbolic	symbolic	ADJ
ejpam-5562	453	4	computations	computation	NOUN
ejpam-5562	453	5	for	for	ADP
ejpam-5562	453	6	solving	solve	VERB
ejpam-5562	453	7	linear	linear	ADJ
ejpam-5562	453	8	delay	delay	NOUN
ejpam-5562	453	9	differential	differential	NOUN
ejpam-5562	453	10	equations	equation	NOUN
ejpam-5562	453	11	using	use	VERB
ejpam-5562	453	12	the	the	DET
ejpam-5562	453	13	laplace	laplace	NOUN
ejpam-5562	453	14	transform	transform	NOUN
ejpam-5562	453	15	method	method	NOUN
ejpam-5562	453	16	.	.	PUNCT
ejpam-5562	454	1	mathematical	mathematical	ADJ
ejpam-5562	454	2	and	and	CCONJ
ejpam-5562	454	3	computational	computational	ADJ
ejpam-5562	454	4	applications	application	NOUN
ejpam-5562	454	5	,	,	PUNCT
ejpam-5562	454	6	27(5):81	27(5):81	NUM
ejpam-5562	454	7	,	,	PUNCT
ejpam-5562	454	8	2022	2022	NUM
ejpam-5562	454	9	.	.	PUNCT
ejpam-5562	455	1	[	[	X
ejpam-5562	455	2	11	11	NUM
ejpam-5562	455	3	]	]	X
ejpam-5562	455	4	andre	andre	PROPN
ejpam-5562	455	5	keller	keller	PROPN
ejpam-5562	455	6	.	.	PUNCT
ejpam-5562	456	1	contribution	contribution	NOUN
ejpam-5562	456	2	of	of	ADP
ejpam-5562	456	3	the	the	DET
ejpam-5562	456	4	delay	delay	NOUN
ejpam-5562	456	5	differential	differential	NOUN
ejpam-5562	456	6	equations	equation	NOUN
ejpam-5562	456	7	to	to	ADP
ejpam-5562	456	8	the	the	DET
ejpam-5562	456	9	complex	complex	ADJ
ejpam-5562	456	10	economic	economic	ADJ
ejpam-5562	456	11	macrodynamics	macrodynamic	NOUN
ejpam-5562	456	12	.	.	PUNCT
ejpam-5562	457	1	wseas	wseas	VERB
ejpam-5562	457	2	transactions	transaction	NOUN
ejpam-5562	457	3	on	on	ADP
ejpam-5562	457	4	systems	system	NOUN
ejpam-5562	457	5	,	,	PUNCT
ejpam-5562	457	6	9	9	NUM
ejpam-5562	457	7	,	,	PUNCT
ejpam-5562	457	8	04	04	NUM
ejpam-5562	457	9	2010	2010	NUM
ejpam-5562	457	10	.	.	PUNCT
ejpam-5562	458	1	[	[	X
ejpam-5562	458	2	12	12	NUM
ejpam-5562	458	3	]	]	X
ejpam-5562	458	4	samuel	samuel	PROPN
ejpam-5562	458	5	bernard	bernard	PROPN
ejpam-5562	458	6	,	,	PUNCT
ejpam-5562	458	7	jacques	jacques	PROPN
ejpam-5562	458	8	bélair	bélair	PROPN
ejpam-5562	458	9	,	,	PUNCT
ejpam-5562	458	10	michael	michael	PROPN
ejpam-5562	458	11	c	c	PROPN
ejpam-5562	458	12	mackey	mackey	PROPN
ejpam-5562	458	13	,	,	PUNCT
ejpam-5562	458	14	et	et	PROPN
ejpam-5562	458	15	al	al	PROPN
ejpam-5562	458	16	.	.	PUNCT
ejpam-5562	458	17	sufficient	sufficient	ADJ
ejpam-5562	458	18	conditions	condition	NOUN
ejpam-5562	458	19	for	for	ADP
ejpam-5562	458	20	stability	stability	NOUN
ejpam-5562	458	21	of	of	ADP
ejpam-5562	458	22	linear	linear	PROPN
ejpam-5562	458	23	differential	differential	ADJ
ejpam-5562	458	24	equations	equation	NOUN
ejpam-5562	458	25	with	with	ADP
ejpam-5562	458	26	distributed	distributed	ADJ
ejpam-5562	458	27	delay	delay	NOUN
ejpam-5562	458	28	.	.	PUNCT
ejpam-5562	459	1	discrete	discrete	VERB
ejpam-5562	459	2	and	and	CCONJ
ejpam-5562	459	3	continuous	continuous	ADJ
ejpam-5562	459	4	dynamical	dynamical	ADJ
ejpam-5562	459	5	systems	system	NOUN
ejpam-5562	459	6	series	series	PROPN
ejpam-5562	459	7	b	b	PROPN
ejpam-5562	459	8	,	,	PUNCT
ejpam-5562	459	9	1(2):233–256	1(2):233–256	NUM
ejpam-5562	459	10	,	,	PUNCT
ejpam-5562	459	11	2001	2001	NUM
ejpam-5562	459	12	.	.	PUNCT
ejpam-5562	460	1	[	[	X
ejpam-5562	460	2	13	13	NUM
ejpam-5562	460	3	]	]	X
ejpam-5562	460	4	sun	sun	PROPN
ejpam-5562	460	5	yi	yi	PROPN
ejpam-5562	460	6	,	,	PUNCT
ejpam-5562	460	7	a	a	DET
ejpam-5562	460	8	galip	galip	NOUN
ejpam-5562	460	9	ulsoy	ulsoy	NOUN
ejpam-5562	460	10	,	,	PUNCT
ejpam-5562	460	11	and	and	CCONJ
ejpam-5562	460	12	patrick	patrick	PROPN
ejpam-5562	460	13	w	w	PROPN
ejpam-5562	460	14	nelson	nelson	PROPN
ejpam-5562	460	15	.	.	PUNCT
ejpam-5562	461	1	solution	solution	NOUN
ejpam-5562	461	2	of	of	ADP
ejpam-5562	461	3	systems	system	NOUN
ejpam-5562	461	4	of	of	ADP
ejpam-5562	461	5	linear	linear	PROPN
ejpam-5562	461	6	delay	delay	NOUN
ejpam-5562	461	7	differential	differential	ADJ
ejpam-5562	461	8	equations	equation	NOUN
ejpam-5562	461	9	via	via	ADP
ejpam-5562	461	10	laplace	laplace	NOUN
ejpam-5562	461	11	transformation	transformation	NOUN
ejpam-5562	461	12	.	.	PUNCT
ejpam-5562	462	1	in	in	ADP
ejpam-5562	462	2	proceedings	proceeding	NOUN
ejpam-5562	462	3	of	of	ADP
ejpam-5562	462	4	the	the	DET
ejpam-5562	462	5	45th	45th	ADJ
ejpam-5562	462	6	ieee	ieee	NOUN
ejpam-5562	462	7	conference	conference	NOUN
ejpam-5562	462	8	on	on	ADP
ejpam-5562	462	9	decision	decision	NOUN
ejpam-5562	462	10	and	and	CCONJ
ejpam-5562	462	11	control	control	NOUN
ejpam-5562	462	12	,	,	PUNCT
ejpam-5562	462	13	pages	page	NOUN
ejpam-5562	462	14	2535–2540	2535–2540	NUM
ejpam-5562	462	15	.	.	PUNCT
ejpam-5562	462	16	ieee	ieee	PROPN
ejpam-5562	462	17	,	,	PUNCT
ejpam-5562	462	18	2006	2006	NUM
ejpam-5562	462	19	.	.	PUNCT
ejpam-5562	463	1	[	[	X
ejpam-5562	463	2	14	14	NUM
ejpam-5562	463	3	]	]	X
ejpam-5562	463	4	d.	d.	PROPN
ejpam-5562	463	5	s.	s.	PROPN
ejpam-5562	463	6	mitrinovic	mitrinovic	PROPN
ejpam-5562	463	7	,	,	PUNCT
ejpam-5562	463	8	j.	j.	PROPN
ejpam-5562	463	9	e.	e.	PROPN
ejpam-5562	463	10	pecaric	pecaric	PROPN
ejpam-5562	463	11	,	,	PUNCT
ejpam-5562	463	12	and	and	CCONJ
ejpam-5562	463	13	a.	a.	NOUN
ejpam-5562	463	14	m.	m.	NOUN
ejpam-5562	463	15	fink	fink	PROPN
ejpam-5562	463	16	.	.	PUNCT
ejpam-5562	464	1	gronwall	gronwall	ADJ
ejpam-5562	464	2	inequalities	inequality	NOUN
ejpam-5562	464	3	on	on	ADP
ejpam-5562	464	4	other	other	ADJ
ejpam-5562	464	5	spaces	space	NOUN
ejpam-5562	464	6	:	:	PUNCT
ejpam-5562	464	7	discrete	discrete	ADJ
ejpam-5562	464	8	,	,	PUNCT
ejpam-5562	464	9	functional	functional	ADJ
ejpam-5562	464	10	and	and	CCONJ
ejpam-5562	464	11	abstract	abstract	ADJ
ejpam-5562	464	12	,	,	PUNCT
ejpam-5562	464	13	pages	page	NOUN
ejpam-5562	464	14	433–467	433–467	NUM
ejpam-5562	464	15	.	.	PUNCT
ejpam-5562	464	16	springer	springer	PROPN
ejpam-5562	464	17	netherlands	netherlands	PROPN
ejpam-5562	464	18	,	,	PUNCT
ejpam-5562	464	19	dordrecht	dordrecht	PROPN
ejpam-5562	464	20	,	,	PUNCT
ejpam-5562	464	21	1991	1991	NUM
ejpam-5562	464	22	.	.	PUNCT
ejpam-5562	465	1	g.	g.	PROPN
ejpam-5562	465	2	veerabathiran	veerabathiran	PROPN
ejpam-5562	465	3	,	,	PUNCT
ejpam-5562	465	4	g.	g.	PROPN
ejpam-5562	465	5	j.	j.	PROPN
ejpam-5562	465	6	kumar	kumar	PROPN
ejpam-5562	465	7	,	,	PUNCT
ejpam-5562	465	8	s.	s.	PROPN
ejpam-5562	465	9	donganont	donganont	PROPN
ejpam-5562	465	10	/	/	SYM
ejpam-5562	465	11	eur	eur	PROPN
ejpam-5562	465	12	.	.	PUNCT
ejpam-5562	466	1	j.	j.	PROPN
ejpam-5562	466	2	pure	pure	PROPN
ejpam-5562	466	3	appl	appl	PROPN
ejpam-5562	466	4	.	.	PROPN
ejpam-5562	466	5	math	math	PROPN
ejpam-5562	466	6	,	,	PUNCT
ejpam-5562	466	7	18	18	NUM
ejpam-5562	466	8	(	(	PUNCT
ejpam-5562	466	9	2	2	NUM
ejpam-5562	466	10	)	)	PUNCT
ejpam-5562	466	11	(	(	PUNCT
ejpam-5562	466	12	2025	2025	NUM
ejpam-5562	466	13	)	)	PUNCT
ejpam-5562	466	14	,	,	PUNCT
ejpam-5562	466	15	5562	5562	NUM
ejpam-5562	466	16	19	19	NUM
ejpam-5562	466	17	of	of	ADP
ejpam-5562	466	18	20	20	NUM
ejpam-5562	467	1	[	[	SYM
ejpam-5562	467	2	15	15	NUM
ejpam-5562	467	3	]	]	X
ejpam-5562	467	4	mohammed	mohammed	PROPN
ejpam-5562	467	5	a.	a.	PROPN
ejpam-5562	467	6	sohaly	sohaly	PROPN
ejpam-5562	467	7	and	and	CCONJ
ejpam-5562	467	8	m	m	PROPN
ejpam-5562	468	1	a	a	DET
ejpam-5562	468	2	elfouly	elfouly	ADV
ejpam-5562	468	3	.	.	PUNCT
ejpam-5562	469	1	stability	stability	NOUN
ejpam-5562	469	2	analysis	analysis	NOUN
ejpam-5562	469	3	of	of	ADP
ejpam-5562	469	4	two	two	NUM
ejpam-5562	469	5	-	-	PUNCT
ejpam-5562	469	6	delay	delay	NOUN
ejpam-5562	469	7	differential	differential	ADJ
ejpam-5562	469	8	equation	equation	NOUN
ejpam-5562	469	9	for	for	ADP
ejpam-5562	469	10	parkinson	parkinson	NOUN
ejpam-5562	469	11	’s	’s	PART
ejpam-5562	469	12	disease	disease	NOUN
ejpam-5562	469	13	models	model	NOUN
ejpam-5562	469	14	with	with	ADP
ejpam-5562	469	15	positive	positive	ADJ
ejpam-5562	469	16	feedback	feedback	NOUN
ejpam-5562	469	17	.	.	PUNCT
ejpam-5562	470	1	2021	2021	NUM
ejpam-5562	470	2	.	.	PUNCT
ejpam-5562	471	1	[	[	X
ejpam-5562	471	2	16	16	NUM
ejpam-5562	471	3	]	]	X
ejpam-5562	471	4	c	c	PROPN
ejpam-5562	471	5	kayelvizhi	kayelvizhi	PROPN
ejpam-5562	471	6	and	and	CCONJ
ejpam-5562	471	7	aek	aek	PROPN
ejpam-5562	471	8	pushpam	pushpam	NOUN
ejpam-5562	471	9	.	.	PUNCT
ejpam-5562	471	10	application	application	NOUN
ejpam-5562	471	11	of	of	ADP
ejpam-5562	471	12	polynomial	polynomial	ADJ
ejpam-5562	471	13	collocation	collocation	NOUN
ejpam-5562	471	14	method	method	NOUN
ejpam-5562	471	15	based	base	VERB
ejpam-5562	471	16	on	on	ADP
ejpam-5562	471	17	successive	successive	ADJ
ejpam-5562	471	18	integration	integration	NOUN
ejpam-5562	471	19	technique	technique	NOUN
ejpam-5562	471	20	for	for	ADP
ejpam-5562	471	21	solving	solve	VERB
ejpam-5562	471	22	delay	delay	NOUN
ejpam-5562	471	23	differential	differential	ADJ
ejpam-5562	471	24	equation	equation	NOUN
ejpam-5562	471	25	in	in	ADP
ejpam-5562	471	26	parkinson	parkinson	NOUN
ejpam-5562	471	27	’s	’s	PART
ejpam-5562	471	28	disease	disease	NOUN
ejpam-5562	471	29	.	.	PUNCT
ejpam-5562	472	1	indian	indian	PROPN
ejpam-5562	472	2	journal	journal	PROPN
ejpam-5562	472	3	of	of	ADP
ejpam-5562	472	4	science	science	NOUN
ejpam-5562	472	5	and	and	CCONJ
ejpam-5562	472	6	technology	technology	NOUN
ejpam-5562	472	7	,	,	PUNCT
ejpam-5562	472	8	17(2):112	17(2):112	PROPN
ejpam-5562	472	9	–	–	PUNCT
ejpam-5562	472	10	119	119	NUM
ejpam-5562	472	11	,	,	PUNCT
ejpam-5562	472	12	2024	2024	NUM
ejpam-5562	472	13	.	.	PUNCT
ejpam-5562	473	1	[	[	X
ejpam-5562	473	2	17	17	NUM
ejpam-5562	473	3	]	]	PUNCT
ejpam-5562	473	4	chunhua	chunhua	PROPN
ejpam-5562	473	5	feng	feng	PROPN
ejpam-5562	473	6	.	.	PUNCT
ejpam-5562	474	1	oscillatory	oscillatory	ADJ
ejpam-5562	474	2	behavior	behavior	NOUN
ejpam-5562	474	3	of	of	ADP
ejpam-5562	474	4	the	the	DET
ejpam-5562	474	5	solutions	solution	NOUN
ejpam-5562	474	6	for	for	ADP
ejpam-5562	474	7	a	a	DET
ejpam-5562	474	8	parkinson	parkinson	NOUN
ejpam-5562	474	9	’s	’s	PART
ejpam-5562	474	10	disease	disease	NOUN
ejpam-5562	474	11	model	model	NOUN
ejpam-5562	474	12	with	with	ADP
ejpam-5562	474	13	discrete	discrete	ADJ
ejpam-5562	474	14	and	and	CCONJ
ejpam-5562	474	15	distributed	distribute	VERB
ejpam-5562	474	16	delays	delay	NOUN
ejpam-5562	474	17	.	.	PUNCT
ejpam-5562	475	1	axioms	axiom	NOUN
ejpam-5562	475	2	,	,	PUNCT
ejpam-5562	475	3	13(2):75	13(2):75	NUM
ejpam-5562	475	4	,	,	PUNCT
ejpam-5562	475	5	2024	2024	NUM
ejpam-5562	475	6	.	.	PUNCT
ejpam-5562	476	1	[	[	X
ejpam-5562	476	2	18	18	NUM
ejpam-5562	476	3	]	]	X
ejpam-5562	476	4	steven	steven	PROPN
ejpam-5562	476	5	j	j	PROPN
ejpam-5562	476	6	schiff	schiff	PROPN
ejpam-5562	476	7	.	.	PUNCT
ejpam-5562	477	1	towards	towards	ADP
ejpam-5562	477	2	model	model	NOUN
ejpam-5562	477	3	-	-	PUNCT
ejpam-5562	477	4	based	base	VERB
ejpam-5562	477	5	control	control	NOUN
ejpam-5562	477	6	of	of	ADP
ejpam-5562	477	7	parkinson	parkinson	NOUN
ejpam-5562	477	8	’s	’s	PART
ejpam-5562	477	9	disease	disease	NOUN
ejpam-5562	477	10	.	.	PUNCT
ejpam-5562	478	1	philosophical	philosophical	ADJ
ejpam-5562	478	2	transactions	transaction	NOUN
ejpam-5562	478	3	of	of	ADP
ejpam-5562	478	4	the	the	DET
ejpam-5562	478	5	royal	royal	ADJ
ejpam-5562	478	6	society	society	NOUN
ejpam-5562	478	7	a	a	DET
ejpam-5562	478	8	:	:	PUNCT
ejpam-5562	478	9	mathematical	mathematical	ADJ
ejpam-5562	478	10	,	,	PUNCT
ejpam-5562	478	11	physical	physical	ADJ
ejpam-5562	478	12	and	and	CCONJ
ejpam-5562	478	13	engineering	engineering	NOUN
ejpam-5562	478	14	sciences	science	NOUN
ejpam-5562	478	15	,	,	PUNCT
ejpam-5562	478	16	368(1918):2269–2308	368(1918):2269–2308	NUM
ejpam-5562	478	17	,	,	PUNCT
ejpam-5562	478	18	2010	2010	NUM
ejpam-5562	478	19	.	.	PUNCT
ejpam-5562	479	1	[	[	X
ejpam-5562	479	2	19	19	NUM
ejpam-5562	479	3	]	]	PUNCT
ejpam-5562	479	4	andrey	andrey	PROPN
ejpam-5562	479	5	dovzhenok	dovzhenok	PROPN
ejpam-5562	479	6	and	and	CCONJ
ejpam-5562	479	7	leonid	leonid	PROPN
ejpam-5562	479	8	l	l	NOUN
ejpam-5562	479	9	rubchinsky	rubchinsky	NOUN
ejpam-5562	479	10	.	.	PUNCT
ejpam-5562	480	1	on	on	ADP
ejpam-5562	480	2	the	the	DET
ejpam-5562	480	3	origin	origin	NOUN
ejpam-5562	480	4	of	of	ADP
ejpam-5562	480	5	tremor	tremor	NOUN
ejpam-5562	480	6	in	in	ADP
ejpam-5562	480	7	parkinson	parkinson	NOUN
ejpam-5562	480	8	’s	’s	PART
ejpam-5562	480	9	disease	disease	NOUN
ejpam-5562	480	10	.	.	PUNCT
ejpam-5562	481	1	2012	2012	NUM
ejpam-5562	481	2	.	.	PUNCT
ejpam-5562	482	1	[	[	X
ejpam-5562	482	2	20	20	NUM
ejpam-5562	482	3	]	]	PUNCT
ejpam-5562	482	4	benoit	benoit	PROPN
ejpam-5562	482	5	duchet	duchet	PROPN
ejpam-5562	482	6	,	,	PUNCT
ejpam-5562	482	7	filippo	filippo	PROPN
ejpam-5562	482	8	ghezzi	ghezzi	PROPN
ejpam-5562	482	9	,	,	PUNCT
ejpam-5562	482	10	gihan	gihan	ADJ
ejpam-5562	482	11	weerasinghe	weerasinghe	NOUN
ejpam-5562	482	12	,	,	PUNCT
ejpam-5562	482	13	gerd	gerd	NOUN
ejpam-5562	482	14	tinkhauser	tinkhauser	NOUN
ejpam-5562	482	15	,	,	PUNCT
ejpam-5562	482	16	andrea	andrea	PROPN
ejpam-5562	482	17	a	a	DET
ejpam-5562	482	18	kuhn	kuhn	PROPN
ejpam-5562	482	19	,	,	PUNCT
ejpam-5562	482	20	peter	peter	PROPN
ejpam-5562	482	21	brown	brown	PROPN
ejpam-5562	482	22	,	,	PUNCT
ejpam-5562	482	23	christian	christian	PROPN
ejpam-5562	482	24	bick	bick	NOUN
ejpam-5562	482	25	,	,	PUNCT
ejpam-5562	482	26	and	and	CCONJ
ejpam-5562	482	27	rafal	rafal	PROPN
ejpam-5562	482	28	bogacz	bogacz	NOUN
ejpam-5562	482	29	.	.	PUNCT
ejpam-5562	483	1	average	average	ADJ
ejpam-5562	483	2	beta	beta	NOUN
ejpam-5562	483	3	burst	burst	NOUN
ejpam-5562	483	4	duration	duration	NOUN
ejpam-5562	483	5	profiles	profile	NOUN
ejpam-5562	483	6	provide	provide	VERB
ejpam-5562	483	7	a	a	DET
ejpam-5562	483	8	signature	signature	NOUN
ejpam-5562	483	9	of	of	ADP
ejpam-5562	483	10	dynamical	dynamical	ADJ
ejpam-5562	483	11	changes	change	NOUN
ejpam-5562	483	12	between	between	ADP
ejpam-5562	483	13	the	the	DET
ejpam-5562	483	14	on	on	ADP
ejpam-5562	483	15	and	and	CCONJ
ejpam-5562	483	16	off	off	ADP
ejpam-5562	483	17	medication	medication	NOUN
ejpam-5562	483	18	states	state	NOUN
ejpam-5562	483	19	in	in	ADP
ejpam-5562	483	20	parkinson	parkinson	NOUN
ejpam-5562	483	21	’s	’s	PART
ejpam-5562	483	22	disease	disease	NOUN
ejpam-5562	483	23	.	.	PUNCT
ejpam-5562	484	1	plos	plos	PROPN
ejpam-5562	484	2	computational	computational	ADJ
ejpam-5562	484	3	biology	biology	NOUN
ejpam-5562	484	4	,	,	PUNCT
ejpam-5562	484	5	17(7):e1009116	17(7):e1009116	NOUN
ejpam-5562	484	6	,	,	PUNCT
ejpam-5562	484	7	2021	2021	NUM
ejpam-5562	484	8	.	.	PUNCT
ejpam-5562	485	1	[	[	X
ejpam-5562	485	2	21	21	NUM
ejpam-5562	485	3	]	]	X
ejpam-5562	485	4	j	j	PROPN
ejpam-5562	485	5	william	william	PROPN
ejpam-5562	485	6	langston	langston	PROPN
ejpam-5562	485	7	.	.	PUNCT
ejpam-5562	486	1	the	the	DET
ejpam-5562	486	2	mptp	mptp	PROPN
ejpam-5562	486	3	story	story	NOUN
ejpam-5562	486	4	.	.	PUNCT
ejpam-5562	487	1	journal	journal	PROPN
ejpam-5562	487	2	of	of	ADP
ejpam-5562	487	3	parkinson	parkinson	NOUN
ejpam-5562	487	4	’s	’s	PART
ejpam-5562	487	5	disease	disease	NOUN
ejpam-5562	487	6	,	,	PUNCT
ejpam-5562	487	7	7(s1):s11	7(s1):s11	NUM
ejpam-5562	487	8	–	–	PUNCT
ejpam-5562	487	9	s19	s19	NOUN
ejpam-5562	487	10	,	,	PUNCT
ejpam-5562	487	11	2017	2017	NUM
ejpam-5562	487	12	.	.	PUNCT
ejpam-5562	488	1	[	[	X
ejpam-5562	488	2	22	22	NUM
ejpam-5562	488	3	]	]	X
ejpam-5562	488	4	c	c	X
ejpam-5562	488	5	lainscsek	lainscsek	NOUN
ejpam-5562	488	6	,	,	PUNCT
ejpam-5562	488	7	p	p	NOUN
ejpam-5562	488	8	rowat	rowat	NOUN
ejpam-5562	488	9	,	,	PUNCT
ejpam-5562	488	10	luis	luis	PROPN
ejpam-5562	488	11	schettino	schettino	PROPN
ejpam-5562	488	12	,	,	PUNCT
ejpam-5562	488	13	d	d	PROPN
ejpam-5562	488	14	lee	lee	PROPN
ejpam-5562	488	15	,	,	PUNCT
ejpam-5562	488	16	d	d	PROPN
ejpam-5562	488	17	song	song	NOUN
ejpam-5562	488	18	,	,	PUNCT
ejpam-5562	488	19	c	c	PROPN
ejpam-5562	488	20	letellier	letellier	NOUN
ejpam-5562	488	21	,	,	PUNCT
ejpam-5562	488	22	and	and	CCONJ
ejpam-5562	488	23	h	h	NOUN
ejpam-5562	488	24	poizner	poizner	NOUN
ejpam-5562	488	25	.	.	PUNCT
ejpam-5562	489	1	finger	finger	NOUN
ejpam-5562	489	2	tapping	tap	VERB
ejpam-5562	489	3	movements	movement	NOUN
ejpam-5562	489	4	of	of	ADP
ejpam-5562	489	5	parkinson	parkinson	NOUN
ejpam-5562	489	6	’s	’s	PART
ejpam-5562	489	7	disease	disease	NOUN
ejpam-5562	489	8	patients	patient	NOUN
ejpam-5562	489	9	automatically	automatically	ADV
ejpam-5562	489	10	rated	rate	VERB
ejpam-5562	489	11	using	use	VERB
ejpam-5562	489	12	nonlinear	nonlinear	ADJ
ejpam-5562	489	13	delay	delay	NOUN
ejpam-5562	489	14	differential	differential	PROPN
ejpam-5562	489	15	equations	equation	NOUN
ejpam-5562	489	16	.	.	PUNCT
ejpam-5562	490	1	chaos	chaos	NOUN
ejpam-5562	490	2	:	:	PUNCT
ejpam-5562	490	3	an	an	DET
ejpam-5562	490	4	interdisciplinary	interdisciplinary	ADJ
ejpam-5562	490	5	journal	journal	NOUN
ejpam-5562	490	6	of	of	ADP
ejpam-5562	490	7	nonlinear	nonlinear	ADJ
ejpam-5562	490	8	science	science	NOUN
ejpam-5562	490	9	,	,	PUNCT
ejpam-5562	490	10	22(1	22(1	NUM
ejpam-5562	490	11	)	)	PUNCT
ejpam-5562	490	12	,	,	PUNCT
ejpam-5562	490	13	2012	2012	NUM
ejpam-5562	490	14	.	.	PUNCT
ejpam-5562	491	1	[	[	X
ejpam-5562	491	2	23	23	NUM
ejpam-5562	491	3	]	]	X
ejpam-5562	491	4	elise	elise	PROPN
ejpam-5562	491	5	m	m	VERB
ejpam-5562	491	6	braatz	braatz	ADJ
ejpam-5562	491	7	and	and	CCONJ
ejpam-5562	491	8	randolph	randolph	PROPN
ejpam-5562	491	9	a	a	DET
ejpam-5562	491	10	coleman	coleman	PROPN
ejpam-5562	491	11	.	.	PUNCT
ejpam-5562	492	1	a	a	DET
ejpam-5562	492	2	mathematical	mathematical	ADJ
ejpam-5562	492	3	model	model	NOUN
ejpam-5562	492	4	of	of	ADP
ejpam-5562	492	5	insulin	insulin	NOUN
ejpam-5562	492	6	resistance	resistance	NOUN
ejpam-5562	492	7	in	in	ADP
ejpam-5562	492	8	parkinson	parkinson	NOUN
ejpam-5562	492	9	’s	’s	PART
ejpam-5562	492	10	disease	disease	NOUN
ejpam-5562	492	11	.	.	PUNCT
ejpam-5562	493	1	computational	computational	ADJ
ejpam-5562	493	2	biology	biology	NOUN
ejpam-5562	493	3	and	and	CCONJ
ejpam-5562	493	4	chemistry	chemistry	NOUN
ejpam-5562	493	5	,	,	PUNCT
ejpam-5562	493	6	56:84–97	56:84–97	NUM
ejpam-5562	493	7	,	,	PUNCT
ejpam-5562	493	8	2015	2015	NUM
ejpam-5562	493	9	.	.	PUNCT
ejpam-5562	494	1	[	[	X
ejpam-5562	494	2	24	24	NUM
ejpam-5562	494	3	]	]	PUNCT
ejpam-5562	494	4	gennadii	gennadii	VERB
ejpam-5562	494	5	a	a	DET
ejpam-5562	494	6	bocharov	bocharov	NOUN
ejpam-5562	494	7	and	and	CCONJ
ejpam-5562	494	8	fathalla	fathalla	VERB
ejpam-5562	494	9	a	a	DET
ejpam-5562	494	10	rihan	rihan	NOUN
ejpam-5562	494	11	.	.	PUNCT
ejpam-5562	495	1	numerical	numerical	ADJ
ejpam-5562	495	2	modelling	modelling	NOUN
ejpam-5562	495	3	in	in	ADP
ejpam-5562	495	4	biosciences	bioscience	NOUN
ejpam-5562	495	5	using	use	VERB
ejpam-5562	495	6	delay	delay	NOUN
ejpam-5562	495	7	differential	differential	ADJ
ejpam-5562	495	8	equations	equation	NOUN
ejpam-5562	495	9	.	.	PUNCT
ejpam-5562	496	1	journal	journal	NOUN
ejpam-5562	496	2	of	of	ADP
ejpam-5562	496	3	computational	computational	ADJ
ejpam-5562	496	4	and	and	CCONJ
ejpam-5562	496	5	applied	applied	ADJ
ejpam-5562	496	6	mathematics	mathematic	NOUN
ejpam-5562	496	7	,	,	PUNCT
ejpam-5562	496	8	125(1	125(1	NUM
ejpam-5562	496	9	-	-	SYM
ejpam-5562	496	10	2):183–199	2):183–199	NUM
ejpam-5562	496	11	,	,	PUNCT
ejpam-5562	496	12	2000	2000	NUM
ejpam-5562	496	13	.	.	PUNCT
ejpam-5562	497	1	[	[	X
ejpam-5562	497	2	25	25	NUM
ejpam-5562	497	3	]	]	X
ejpam-5562	497	4	minaya	minaya	PROPN
ejpam-5562	497	5	villasana	villasana	PROPN
ejpam-5562	497	6	and	and	CCONJ
ejpam-5562	497	7	ami	ami	PROPN
ejpam-5562	497	8	radunskaya	radunskaya	PROPN
ejpam-5562	497	9	.	.	PUNCT
ejpam-5562	498	1	a	a	DET
ejpam-5562	498	2	delay	delay	NOUN
ejpam-5562	498	3	differential	differential	ADJ
ejpam-5562	498	4	equation	equation	NOUN
ejpam-5562	498	5	model	model	NOUN
ejpam-5562	498	6	for	for	ADP
ejpam-5562	498	7	tumor	tumor	NOUN
ejpam-5562	498	8	growth	growth	NOUN
ejpam-5562	498	9	.	.	PUNCT
ejpam-5562	499	1	journal	journal	PROPN
ejpam-5562	499	2	of	of	ADP
ejpam-5562	499	3	mathematical	mathematical	ADJ
ejpam-5562	499	4	biology	biology	NOUN
ejpam-5562	499	5	,	,	PUNCT
ejpam-5562	499	6	47:270–294	47:270–294	PROPN
ejpam-5562	499	7	,	,	PUNCT
ejpam-5562	499	8	2003	2003	NUM
ejpam-5562	499	9	.	.	PUNCT
ejpam-5562	500	1	[	[	X
ejpam-5562	500	2	26	26	NUM
ejpam-5562	500	3	]	]	X
ejpam-5562	500	4	patrick	patrick	PROPN
ejpam-5562	500	5	w	w	PROPN
ejpam-5562	500	6	nelson	nelson	PROPN
ejpam-5562	500	7	and	and	CCONJ
ejpam-5562	500	8	alan	alan	PROPN
ejpam-5562	500	9	s	s	PROPN
ejpam-5562	500	10	perelson	perelson	PROPN
ejpam-5562	500	11	.	.	PUNCT
ejpam-5562	501	1	mathematical	mathematical	ADJ
ejpam-5562	501	2	analysis	analysis	NOUN
ejpam-5562	501	3	of	of	ADP
ejpam-5562	501	4	delay	delay	NOUN
ejpam-5562	501	5	differential	differential	ADJ
ejpam-5562	501	6	equation	equation	NOUN
ejpam-5562	501	7	models	model	NOUN
ejpam-5562	501	8	of	of	ADP
ejpam-5562	501	9	hiv-1	hiv-1	ADJ
ejpam-5562	501	10	infection	infection	NOUN
ejpam-5562	501	11	.	.	PUNCT
ejpam-5562	502	1	mathematical	mathematical	ADJ
ejpam-5562	502	2	biosciences	bioscience	NOUN
ejpam-5562	502	3	,	,	PUNCT
ejpam-5562	502	4	179(1):73–94	179(1):73–94	NUM
ejpam-5562	502	5	,	,	PUNCT
ejpam-5562	502	6	2002	2002	NUM
ejpam-5562	502	7	.	.	PUNCT
ejpam-5562	503	1	[	[	X
ejpam-5562	503	2	27	27	NUM
ejpam-5562	503	3	]	]	X
ejpam-5562	503	4	c	c	X
ejpam-5562	503	5	lainscsek	lainscsek	NOUN
ejpam-5562	503	6	,	,	PUNCT
ejpam-5562	503	7	p	p	NOUN
ejpam-5562	503	8	rowat	rowat	NOUN
ejpam-5562	503	9	,	,	PUNCT
ejpam-5562	503	10	luis	luis	PROPN
ejpam-5562	503	11	schettino	schettino	PROPN
ejpam-5562	503	12	,	,	PUNCT
ejpam-5562	503	13	d	d	PROPN
ejpam-5562	503	14	lee	lee	PROPN
ejpam-5562	503	15	,	,	PUNCT
ejpam-5562	503	16	d	d	PROPN
ejpam-5562	503	17	song	song	NOUN
ejpam-5562	503	18	,	,	PUNCT
ejpam-5562	503	19	c	c	PROPN
ejpam-5562	503	20	letellier	letellier	NOUN
ejpam-5562	503	21	,	,	PUNCT
ejpam-5562	503	22	and	and	CCONJ
ejpam-5562	503	23	h	h	NOUN
ejpam-5562	503	24	poizner	poizner	NOUN
ejpam-5562	503	25	.	.	PUNCT
ejpam-5562	504	1	finger	finger	NOUN
ejpam-5562	504	2	tapping	tap	VERB
ejpam-5562	504	3	movements	movement	NOUN
ejpam-5562	504	4	of	of	ADP
ejpam-5562	504	5	parkinson	parkinson	NOUN
ejpam-5562	504	6	’s	’s	PART
ejpam-5562	504	7	disease	disease	NOUN
ejpam-5562	504	8	patients	patient	NOUN
ejpam-5562	504	9	automatically	automatically	ADV
ejpam-5562	504	10	rated	rate	VERB
ejpam-5562	504	11	using	use	VERB
ejpam-5562	504	12	nonlinear	nonlinear	ADJ
ejpam-5562	504	13	delay	delay	NOUN
ejpam-5562	504	14	differential	differential	PROPN
ejpam-5562	504	15	equations	equation	NOUN
ejpam-5562	504	16	.	.	PUNCT
ejpam-5562	505	1	chaos	chaos	NOUN
ejpam-5562	505	2	:	:	PUNCT
ejpam-5562	505	3	an	an	DET
ejpam-5562	505	4	interdisciplinary	interdisciplinary	ADJ
ejpam-5562	505	5	journal	journal	NOUN
ejpam-5562	505	6	of	of	ADP
ejpam-5562	505	7	nonlinear	nonlinear	ADJ
ejpam-5562	505	8	science	science	NOUN
ejpam-5562	505	9	,	,	PUNCT
ejpam-5562	505	10	22(1	22(1	NUM
ejpam-5562	505	11	)	)	PUNCT
ejpam-5562	505	12	,	,	PUNCT
ejpam-5562	505	13	2012	2012	NUM
ejpam-5562	505	14	.	.	PUNCT
ejpam-5562	506	1	[	[	X
ejpam-5562	506	2	28	28	NUM
ejpam-5562	506	3	]	]	X
ejpam-5562	506	4	gennadii	gennadii	VERB
ejpam-5562	506	5	a	a	DET
ejpam-5562	506	6	bocharov	bocharov	NOUN
ejpam-5562	506	7	and	and	CCONJ
ejpam-5562	506	8	fathalla	fathalla	VERB
ejpam-5562	506	9	a	a	DET
ejpam-5562	506	10	rihan	rihan	NOUN
ejpam-5562	506	11	.	.	PUNCT
ejpam-5562	507	1	numerical	numerical	ADJ
ejpam-5562	507	2	modelling	modelling	NOUN
ejpam-5562	507	3	in	in	ADP
ejpam-5562	507	4	biosciences	bioscience	NOUN
ejpam-5562	507	5	using	use	VERB
ejpam-5562	507	6	delay	delay	NOUN
ejpam-5562	507	7	differential	differential	ADJ
ejpam-5562	507	8	equations	equation	NOUN
ejpam-5562	507	9	.	.	PUNCT
ejpam-5562	508	1	journal	journal	NOUN
ejpam-5562	508	2	of	of	ADP
ejpam-5562	508	3	computational	computational	ADJ
ejpam-5562	508	4	and	and	CCONJ
ejpam-5562	508	5	applied	applied	ADJ
ejpam-5562	508	6	mathematics	mathematic	NOUN
ejpam-5562	508	7	,	,	PUNCT
ejpam-5562	508	8	125(1	125(1	NUM
ejpam-5562	508	9	-	-	SYM
ejpam-5562	508	10	2):183–199	2):183–199	NUM
ejpam-5562	508	11	,	,	PUNCT
ejpam-5562	508	12	2000	2000	NUM
ejpam-5562	508	13	.	.	PUNCT
ejpam-5562	509	1	[	[	X
ejpam-5562	509	2	29	29	NUM
ejpam-5562	509	3	]	]	X
ejpam-5562	509	4	elise	elise	PROPN
ejpam-5562	509	5	m	m	VERB
ejpam-5562	509	6	braatz	braatz	ADJ
ejpam-5562	509	7	and	and	CCONJ
ejpam-5562	509	8	randolph	randolph	PROPN
ejpam-5562	509	9	a	a	DET
ejpam-5562	509	10	coleman	coleman	PROPN
ejpam-5562	509	11	.	.	PUNCT
ejpam-5562	510	1	a	a	DET
ejpam-5562	510	2	mathematical	mathematical	ADJ
ejpam-5562	510	3	model	model	NOUN
ejpam-5562	510	4	of	of	ADP
ejpam-5562	510	5	insulin	insulin	NOUN
ejpam-5562	510	6	resistance	resistance	NOUN
ejpam-5562	510	7	in	in	ADP
ejpam-5562	510	8	parkinson	parkinson	NOUN
ejpam-5562	510	9	’s	’s	PART
ejpam-5562	510	10	disease	disease	NOUN
ejpam-5562	510	11	.	.	PUNCT
ejpam-5562	511	1	computational	computational	ADJ
ejpam-5562	511	2	biology	biology	NOUN
ejpam-5562	511	3	and	and	CCONJ
ejpam-5562	511	4	chemistry	chemistry	NOUN
ejpam-5562	511	5	,	,	PUNCT
ejpam-5562	511	6	56:84–97	56:84–97	NUM
ejpam-5562	511	7	,	,	PUNCT
ejpam-5562	511	8	2015	2015	NUM
ejpam-5562	511	9	.	.	PUNCT
ejpam-5562	512	1	[	[	X
ejpam-5562	512	2	30	30	NUM
ejpam-5562	512	3	]	]	X
ejpam-5562	512	4	lucio	lucio	PROPN
ejpam-5562	512	5	torelli	torelli	PROPN
ejpam-5562	512	6	.	.	PUNCT
ejpam-5562	513	1	stability	stability	NOUN
ejpam-5562	513	2	of	of	ADP
ejpam-5562	513	3	numerical	numerical	ADJ
ejpam-5562	513	4	methods	method	NOUN
ejpam-5562	513	5	for	for	ADP
ejpam-5562	513	6	delay	delay	NOUN
ejpam-5562	513	7	differential	differential	ADJ
ejpam-5562	513	8	equations	equation	NOUN
ejpam-5562	513	9	.	.	PUNCT
ejpam-5562	514	1	journal	journal	NOUN
ejpam-5562	514	2	of	of	ADP
ejpam-5562	514	3	computational	computational	ADJ
ejpam-5562	514	4	and	and	CCONJ
ejpam-5562	514	5	applied	applied	ADJ
ejpam-5562	514	6	mathematics	mathematic	NOUN
ejpam-5562	514	7	,	,	PUNCT
ejpam-5562	514	8	25(1):15–26	25(1):15–26	NUM
ejpam-5562	514	9	,	,	PUNCT
ejpam-5562	514	10	1989	1989	NUM
ejpam-5562	514	11	.	.	PUNCT
ejpam-5562	515	1	[	[	X
ejpam-5562	515	2	31	31	NUM
ejpam-5562	515	3	]	]	X
ejpam-5562	515	4	k	k	PROPN
ejpam-5562	515	5	gopalsamy	gopalsamy	PROPN
ejpam-5562	515	6	and	and	CCONJ
ejpam-5562	515	7	bg	bg	PROPN
ejpam-5562	515	8	zhang	zhang	PROPN
ejpam-5562	515	9	.	.	PUNCT
ejpam-5562	516	1	on	on	ADP
ejpam-5562	516	2	delay	delay	NOUN
ejpam-5562	516	3	differential	differential	ADJ
ejpam-5562	516	4	equations	equation	NOUN
ejpam-5562	516	5	with	with	ADP
ejpam-5562	516	6	impulses	impulse	NOUN
ejpam-5562	516	7	.	.	PUNCT
ejpam-5562	517	1	journal	journal	PROPN
ejpam-5562	517	2	g.	g.	PROPN
ejpam-5562	517	3	veerabathiran	veerabathiran	PROPN
ejpam-5562	517	4	,	,	PUNCT
ejpam-5562	517	5	g.	g.	PROPN
ejpam-5562	517	6	j.	j.	PROPN
ejpam-5562	517	7	kumar	kumar	PROPN
ejpam-5562	517	8	,	,	PUNCT
ejpam-5562	517	9	s.	s.	PROPN
ejpam-5562	517	10	donganont	donganont	PROPN
ejpam-5562	517	11	/	/	SYM
ejpam-5562	517	12	eur	eur	PROPN
ejpam-5562	517	13	.	.	PUNCT
ejpam-5562	518	1	j.	j.	PROPN
ejpam-5562	518	2	pure	pure	PROPN
ejpam-5562	518	3	appl	appl	PROPN
ejpam-5562	518	4	.	.	PROPN
ejpam-5562	518	5	math	math	PROPN
ejpam-5562	518	6	,	,	PUNCT
ejpam-5562	518	7	18	18	NUM
ejpam-5562	518	8	(	(	PUNCT
ejpam-5562	518	9	2	2	NUM
ejpam-5562	518	10	)	)	PUNCT
ejpam-5562	518	11	(	(	PUNCT
ejpam-5562	518	12	2025	2025	NUM
ejpam-5562	518	13	)	)	PUNCT
ejpam-5562	518	14	,	,	PUNCT
ejpam-5562	518	15	5562	5562	NUM
ejpam-5562	518	16	20	20	NUM
ejpam-5562	518	17	of	of	ADP
ejpam-5562	518	18	20	20	NUM
ejpam-5562	518	19	of	of	ADP
ejpam-5562	518	20	mathematical	mathematical	ADJ
ejpam-5562	518	21	analysis	analysis	NOUN
ejpam-5562	518	22	and	and	CCONJ
ejpam-5562	518	23	applications	application	NOUN
ejpam-5562	518	24	,	,	PUNCT
ejpam-5562	518	25	139(1):110–122	139(1):110–122	NUM
ejpam-5562	518	26	,	,	PUNCT
ejpam-5562	518	27	1989	1989	NUM
ejpam-5562	518	28	.	.	PUNCT
ejpam-5562	519	1	[	[	X
ejpam-5562	519	2	32	32	NUM
ejpam-5562	519	3	]	]	PUNCT
ejpam-5562	519	4	m	m	VERB
ejpam-5562	519	5	wolfrum	wolfrum	NOUN
ejpam-5562	519	6	,	,	PUNCT
ejpam-5562	519	7	s	s	VERB
ejpam-5562	519	8	yanchuk	yanchuk	NOUN
ejpam-5562	519	9	,	,	PUNCT
ejpam-5562	519	10	p	p	NOUN
ejpam-5562	519	11	høvel	høvel	NOUN
ejpam-5562	519	12	,	,	PUNCT
ejpam-5562	519	13	and	and	CCONJ
ejpam-5562	519	14	e	e	ADP
ejpam-5562	519	15	schøll	schøll	NOUN
ejpam-5562	519	16	.	.	PUNCT
ejpam-5562	520	1	complex	complex	ADJ
ejpam-5562	520	2	dynamics	dynamic	NOUN
ejpam-5562	520	3	in	in	ADP
ejpam-5562	520	4	delaydifferential	delaydifferential	ADJ
ejpam-5562	520	5	equations	equation	NOUN
ejpam-5562	520	6	with	with	ADP
ejpam-5562	520	7	large	large	ADJ
ejpam-5562	520	8	delay	delay	NOUN
ejpam-5562	520	9	.	.	PUNCT
ejpam-5562	521	1	the	the	DET
ejpam-5562	521	2	european	european	PROPN
ejpam-5562	521	3	physical	physical	PROPN
ejpam-5562	521	4	journal	journal	PROPN
ejpam-5562	521	5	special	special	ADJ
ejpam-5562	521	6	topics	topic	NOUN
ejpam-5562	521	7	,	,	PUNCT
ejpam-5562	521	8	191:91–103	191:91–103	NUM
ejpam-5562	521	9	,	,	PUNCT
ejpam-5562	521	10	2010	2010	NUM
ejpam-5562	521	11	.	.	PUNCT
ejpam-5562	522	1	[	[	X
ejpam-5562	522	2	33	33	NUM
ejpam-5562	522	3	]	]	PUNCT
ejpam-5562	522	4	xihui	xihui	PROPN
ejpam-5562	522	5	lin	lin	PROPN
ejpam-5562	522	6	and	and	CCONJ
ejpam-5562	522	7	hao	hao	PROPN
ejpam-5562	522	8	wang	wang	PROPN
ejpam-5562	522	9	.	.	PUNCT
ejpam-5562	523	1	stability	stability	NOUN
ejpam-5562	523	2	analysis	analysis	NOUN
ejpam-5562	523	3	of	of	ADP
ejpam-5562	523	4	delay	delay	NOUN
ejpam-5562	523	5	differential	differential	ADJ
ejpam-5562	523	6	equations	equation	NOUN
ejpam-5562	523	7	with	with	ADP
ejpam-5562	523	8	two	two	NUM
ejpam-5562	523	9	discrete	discrete	ADJ
ejpam-5562	523	10	delays	delay	NOUN
ejpam-5562	523	11	.	.	PUNCT
ejpam-5562	524	1	canadian	canadian	PROPN
ejpam-5562	524	2	applied	apply	VERB
ejpam-5562	524	3	mathematics	mathematic	NOUN
ejpam-5562	524	4	quarterly	quarterly	ADV
ejpam-5562	524	5	,	,	PUNCT
ejpam-5562	524	6	20(4):519–533	20(4):519–533	PROPN
ejpam-5562	524	7	,	,	PUNCT
ejpam-5562	524	8	2012	2012	NUM
ejpam-5562	524	9	.	.	PUNCT
ejpam-5562	525	1	[	[	X
ejpam-5562	525	2	34	34	NUM
ejpam-5562	525	3	]	]	PUNCT
ejpam-5562	525	4	xiangao	xiangao	PROPN
ejpam-5562	525	5	li	li	PROPN
ejpam-5562	525	6	,	,	PUNCT
ejpam-5562	525	7	shigui	shigui	NOUN
ejpam-5562	525	8	ruan	ruan	NOUN
ejpam-5562	525	9	,	,	PUNCT
ejpam-5562	525	10	and	and	CCONJ
ejpam-5562	525	11	junjie	junjie	PROPN
ejpam-5562	525	12	wei	wei	PROPN
ejpam-5562	525	13	.	.	PUNCT
ejpam-5562	525	14	stability	stability	NOUN
ejpam-5562	525	15	and	and	CCONJ
ejpam-5562	525	16	bifurcation	bifurcation	NOUN
ejpam-5562	525	17	in	in	ADP
ejpam-5562	525	18	delay	delay	NOUN
ejpam-5562	525	19	–	–	PUNCT
ejpam-5562	525	20	differential	differential	NOUN
ejpam-5562	525	21	equations	equation	NOUN
ejpam-5562	525	22	with	with	ADP
ejpam-5562	525	23	two	two	NUM
ejpam-5562	525	24	delays	delay	NOUN
ejpam-5562	525	25	.	.	PUNCT
ejpam-5562	526	1	journal	journal	PROPN
ejpam-5562	526	2	of	of	ADP
ejpam-5562	526	3	mathematical	mathematical	ADJ
ejpam-5562	526	4	analysis	analysis	NOUN
ejpam-5562	526	5	and	and	CCONJ
ejpam-5562	526	6	applications	application	NOUN
ejpam-5562	526	7	,	,	PUNCT
ejpam-5562	526	8	236(2):254–280	236(2):254–280	NUM
ejpam-5562	526	9	,	,	PUNCT
ejpam-5562	526	10	1999	1999	NUM
ejpam-5562	526	11	.	.	PUNCT
ejpam-5562	527	1	[	[	X
ejpam-5562	527	2	35	35	NUM
ejpam-5562	527	3	]	]	X
ejpam-5562	527	4	jurang	jurang	PROPN
ejpam-5562	527	5	yan	yan	PROPN
ejpam-5562	527	6	and	and	CCONJ
ejpam-5562	527	7	aimin	aimin	PROPN
ejpam-5562	527	8	zhao	zhao	PROPN
ejpam-5562	527	9	.	.	PUNCT
ejpam-5562	528	1	oscillation	oscillation	NOUN
ejpam-5562	528	2	and	and	CCONJ
ejpam-5562	528	3	stability	stability	NOUN
ejpam-5562	528	4	of	of	ADP
ejpam-5562	528	5	linear	linear	ADJ
ejpam-5562	528	6	impulsive	impulsive	ADJ
ejpam-5562	528	7	delay	delay	NOUN
ejpam-5562	528	8	differential	differential	ADJ
ejpam-5562	528	9	equations	equation	NOUN
ejpam-5562	528	10	.	.	PUNCT
ejpam-5562	529	1	journal	journal	PROPN
ejpam-5562	529	2	of	of	ADP
ejpam-5562	529	3	mathematical	mathematical	ADJ
ejpam-5562	529	4	analysis	analysis	NOUN
ejpam-5562	529	5	and	and	CCONJ
ejpam-5562	529	6	applications	application	NOUN
ejpam-5562	529	7	,	,	PUNCT
ejpam-5562	529	8	227(1):187–194	227(1):187–194	NUM
ejpam-5562	529	9	,	,	PUNCT
ejpam-5562	529	10	1998	1998	NUM
ejpam-5562	529	11	.	.	PUNCT
ejpam-5562	530	1	[	[	X
ejpam-5562	530	2	36	36	NUM
ejpam-5562	530	3	]	]	X
ejpam-5562	530	4	wayne	wayne	PROPN
ejpam-5562	530	5	h	h	PROPN
ejpam-5562	530	6	enright	enright	PROPN
ejpam-5562	530	7	and	and	CCONJ
ejpam-5562	530	8	hiroshi	hiroshi	PROPN
ejpam-5562	530	9	hayashi	hayashi	PROPN
ejpam-5562	530	10	.	.	PUNCT
ejpam-5562	531	1	a	a	DET
ejpam-5562	531	2	delay	delay	NOUN
ejpam-5562	531	3	differential	differential	NOUN
ejpam-5562	531	4	equation	equation	NOUN
ejpam-5562	531	5	solver	solver	ADV
ejpam-5562	531	6	based	base	VERB
ejpam-5562	531	7	on	on	ADP
ejpam-5562	531	8	a	a	DET
ejpam-5562	531	9	continuous	continuous	ADJ
ejpam-5562	531	10	runge	runge	NOUN
ejpam-5562	531	11	–	–	PUNCT
ejpam-5562	531	12	kutta	kutta	NOUN
ejpam-5562	531	13	method	method	NOUN
ejpam-5562	531	14	with	with	ADP
ejpam-5562	531	15	defect	defect	NOUN
ejpam-5562	531	16	control	control	NOUN
ejpam-5562	531	17	.	.	PUNCT
ejpam-5562	532	1	numerical	numerical	ADJ
ejpam-5562	532	2	algorithms	algorithms	PROPN
ejpam-5562	532	3	,	,	PUNCT
ejpam-5562	532	4	16:349–364	16:349–364	NUM
ejpam-5562	532	5	,	,	PUNCT
ejpam-5562	532	6	1997	1997	NUM
ejpam-5562	532	7	.	.	PUNCT
ejpam-5562	533	1	[	[	X
ejpam-5562	533	2	37	37	NUM
ejpam-5562	533	3	]	]	X
ejpam-5562	533	4	andrew	andrew	PROPN
ejpam-5562	533	5	keane	keane	PROPN
ejpam-5562	533	6	,	,	PUNCT
ejpam-5562	533	7	bernd	bernd	PROPN
ejpam-5562	533	8	krauskopf	krauskopf	PROPN
ejpam-5562	533	9	,	,	PUNCT
ejpam-5562	533	10	and	and	CCONJ
ejpam-5562	533	11	claire	claire	PROPN
ejpam-5562	533	12	m	m	PROPN
ejpam-5562	533	13	postlethwaite	postlethwaite	PROPN
ejpam-5562	533	14	.	.	PUNCT
ejpam-5562	534	1	climate	climate	NOUN
ejpam-5562	534	2	models	model	NOUN
ejpam-5562	534	3	with	with	ADP
ejpam-5562	534	4	delay	delay	NOUN
ejpam-5562	534	5	differential	differential	ADJ
ejpam-5562	534	6	equations	equation	NOUN
ejpam-5562	534	7	.	.	PUNCT
ejpam-5562	535	1	chaos	chaos	NOUN
ejpam-5562	535	2	:	:	PUNCT
ejpam-5562	535	3	an	an	DET
ejpam-5562	535	4	interdisciplinary	interdisciplinary	ADJ
ejpam-5562	535	5	journal	journal	NOUN
ejpam-5562	535	6	of	of	ADP
ejpam-5562	535	7	nonlinear	nonlinear	ADJ
ejpam-5562	535	8	science	science	NOUN
ejpam-5562	535	9	,	,	PUNCT
ejpam-5562	535	10	27(11	27(11	NUM
ejpam-5562	535	11	)	)	PUNCT
ejpam-5562	535	12	,	,	PUNCT
ejpam-5562	535	13	2017	2017	NUM
ejpam-5562	535	14	.	.	PUNCT
ejpam-5562	536	1	[	[	X
ejpam-5562	536	2	38	38	NUM
ejpam-5562	536	3	]	]	PUNCT
ejpam-5562	536	4	claudia	claudia	NOUN
ejpam-5562	536	5	lainscsek	lainscsek	PROPN
ejpam-5562	536	6	,	,	PUNCT
ejpam-5562	536	7	luis	luis	PROPN
ejpam-5562	536	8	schettino	schettino	PROPN
ejpam-5562	536	9	,	,	PUNCT
ejpam-5562	536	10	peter	peter	PROPN
ejpam-5562	536	11	rowat	rowat	PROPN
ejpam-5562	536	12	,	,	PUNCT
ejpam-5562	536	13	elke	elke	PROPN
ejpam-5562	536	14	van	van	PROPN
ejpam-5562	536	15	erp	erp	PROPN
ejpam-5562	536	16	,	,	PUNCT
ejpam-5562	536	17	david	david	PROPN
ejpam-5562	536	18	song	song	PROPN
ejpam-5562	536	19	,	,	PUNCT
ejpam-5562	536	20	and	and	CCONJ
ejpam-5562	536	21	howard	howard	PROPN
ejpam-5562	536	22	poizner	poizner	NOUN
ejpam-5562	536	23	.	.	PUNCT
ejpam-5562	537	1	nonlinear	nonlinear	PROPN
ejpam-5562	537	2	dde	dde	PROPN
ejpam-5562	537	3	analysis	analysis	NOUN
ejpam-5562	537	4	of	of	ADP
ejpam-5562	537	5	repetitive	repetitive	ADJ
ejpam-5562	537	6	hand	hand	NOUN
ejpam-5562	537	7	movements	movement	NOUN
ejpam-5562	537	8	in	in	ADP
ejpam-5562	537	9	parkinson	parkinson	NOUN
ejpam-5562	537	10	’s	’s	PART
ejpam-5562	537	11	disease	disease	NOUN
ejpam-5562	537	12	.	.	PUNCT
ejpam-5562	538	1	in	in	ADP
ejpam-5562	538	2	applications	application	NOUN
ejpam-5562	538	3	of	of	ADP
ejpam-5562	538	4	nonlinear	nonlinear	ADJ
ejpam-5562	538	5	dynamics	dynamic	NOUN
ejpam-5562	538	6	:	:	PUNCT
ejpam-5562	538	7	model	model	NOUN
ejpam-5562	538	8	and	and	CCONJ
ejpam-5562	538	9	design	design	NOUN
ejpam-5562	538	10	of	of	ADP
ejpam-5562	538	11	complex	complex	ADJ
ejpam-5562	538	12	systems	system	NOUN
ejpam-5562	538	13	,	,	PUNCT
ejpam-5562	538	14	pages	page	NOUN
ejpam-5562	538	15	421–425	421–425	NUM
ejpam-5562	538	16	.	.	PUNCT
ejpam-5562	538	17	springer	springer	NOUN
ejpam-5562	538	18	,	,	PUNCT
ejpam-5562	538	19	2009	2009	NUM
ejpam-5562	538	20	.	.	PUNCT
ejpam-5562	539	1	[	[	X
ejpam-5562	539	2	39	39	NUM
ejpam-5562	539	3	]	]	PUNCT
ejpam-5562	539	4	joel	joel	PROPN
ejpam-5562	539	5	l	l	PROPN
ejpam-5562	539	6	schiff	schiff	PROPN
ejpam-5562	539	7	.	.	PUNCT
ejpam-5562	540	1	the	the	DET
ejpam-5562	540	2	laplace	laplace	NOUN
ejpam-5562	540	3	transform	transform	NOUN
ejpam-5562	540	4	:	:	PUNCT
ejpam-5562	540	5	theory	theory	NOUN
ejpam-5562	540	6	and	and	CCONJ
ejpam-5562	540	7	applications	application	NOUN
ejpam-5562	540	8	.	.	PUNCT
ejpam-5562	541	1	springer	springer	NOUN
ejpam-5562	541	2	science	science	PROPN
ejpam-5562	541	3	&	&	CCONJ
ejpam-5562	541	4	business	business	NOUN
ejpam-5562	541	5	media	medium	NOUN
ejpam-5562	541	6	,	,	PUNCT
ejpam-5562	541	7	2013	2013	NUM
ejpam-5562	541	8	.	.	PUNCT
ejpam-5562	542	1	[	[	X
ejpam-5562	542	2	40	40	NUM
ejpam-5562	542	3	]	]	PUNCT
ejpam-5562	542	4	zhen	zhen	PROPN
ejpam-5562	542	5	song	song	PROPN
ejpam-5562	542	6	and	and	CCONJ
ejpam-5562	542	7	zhilin	zhilin	PROPN
ejpam-5562	542	8	qu	qu	PROPN
ejpam-5562	542	9	.	.	PROPN
ejpam-5562	542	10	delayed	delay	VERB
ejpam-5562	542	11	global	global	ADJ
ejpam-5562	542	12	feedback	feedback	NOUN
ejpam-5562	542	13	in	in	ADP
ejpam-5562	542	14	the	the	DET
ejpam-5562	542	15	genesis	genesis	NOUN
ejpam-5562	542	16	and	and	CCONJ
ejpam-5562	542	17	stability	stability	NOUN
ejpam-5562	542	18	of	of	ADP
ejpam-5562	542	19	spatiotemporal	spatiotemporal	ADJ
ejpam-5562	542	20	excitation	excitation	NOUN
ejpam-5562	542	21	patterns	pattern	NOUN
ejpam-5562	542	22	in	in	ADP
ejpam-5562	542	23	paced	paced	ADJ
ejpam-5562	542	24	biological	biological	ADJ
ejpam-5562	542	25	excitable	excitable	ADJ
ejpam-5562	542	26	media	medium	NOUN
ejpam-5562	542	27	.	.	PUNCT
ejpam-5562	543	1	plos	plos	PROPN
ejpam-5562	543	2	computational	computational	ADJ
ejpam-5562	543	3	biology	biology	NOUN
ejpam-5562	543	4	,	,	PUNCT
ejpam-5562	543	5	16(10):e1007931	16(10):e1007931	NUM
ejpam-5562	543	6	,	,	PUNCT
ejpam-5562	543	7	2020	2020	NUM
ejpam-5562	543	8	.	.	PUNCT
ejpam-5562	544	1	[	[	X
ejpam-5562	544	2	41	41	NUM
ejpam-5562	544	3	]	]	PUNCT
ejpam-5562	544	4	qingqing	qingqe	VERB
ejpam-5562	544	5	long	long	ADV
ejpam-5562	544	6	,	,	PUNCT
ejpam-5562	544	7	zheng	zheng	PROPN
ejpam-5562	544	8	fang	fang	PROPN
ejpam-5562	544	9	,	,	PUNCT
ejpam-5562	544	10	chen	chen	PROPN
ejpam-5562	544	11	fang	fang	PROPN
ejpam-5562	544	12	,	,	PUNCT
ejpam-5562	544	13	chong	chong	PROPN
ejpam-5562	544	14	chen	chen	PROPN
ejpam-5562	544	15	,	,	PUNCT
ejpam-5562	544	16	pengfei	pengfei	PROPN
ejpam-5562	544	17	wang	wang	PROPN
ejpam-5562	544	18	,	,	PUNCT
ejpam-5562	544	19	and	and	CCONJ
ejpam-5562	544	20	yuanchun	yuanchun	PROPN
ejpam-5562	544	21	zhou	zhou	PROPN
ejpam-5562	544	22	.	.	PUNCT
ejpam-5562	545	1	unveiling	unveil	VERB
ejpam-5562	545	2	delay	delay	NOUN
ejpam-5562	545	3	effects	effect	NOUN
ejpam-5562	545	4	in	in	ADP
ejpam-5562	545	5	traffic	traffic	NOUN
ejpam-5562	545	6	forecasting	forecasting	NOUN
ejpam-5562	545	7	:	:	PUNCT
ejpam-5562	545	8	a	a	DET
ejpam-5562	545	9	perspective	perspective	NOUN
ejpam-5562	545	10	from	from	ADP
ejpam-5562	545	11	spatialtemporal	spatialtemporal	ADJ
ejpam-5562	545	12	delay	delay	NOUN
ejpam-5562	545	13	differential	differential	NOUN
ejpam-5562	545	14	equations	equation	NOUN
ejpam-5562	545	15	.	.	PUNCT
ejpam-5562	546	1	in	in	ADP
ejpam-5562	546	2	proceedings	proceeding	NOUN
ejpam-5562	546	3	of	of	ADP
ejpam-5562	546	4	the	the	DET
ejpam-5562	546	5	acm	acm	NOUN
ejpam-5562	546	6	on	on	ADP
ejpam-5562	546	7	web	web	NOUN
ejpam-5562	546	8	conference	conference	NOUN
ejpam-5562	546	9	2024	2024	NUM
ejpam-5562	546	10	,	,	PUNCT
ejpam-5562	546	11	pages	page	NOUN
ejpam-5562	546	12	1035–1044	1035–1044	NUM
ejpam-5562	546	13	,	,	PUNCT
ejpam-5562	546	14	2024	2024	NUM
ejpam-5562	546	15	.	.	PUNCT
ejpam-5562	547	1	[	[	X
ejpam-5562	547	2	42	42	NUM
ejpam-5562	547	3	]	]	X
ejpam-5562	547	4	jonathan	jonathan	PROPN
ejpam-5562	547	5	weyhenmeyer	weyhenmeyer	PROPN
ejpam-5562	547	6	,	,	PUNCT
ejpam-5562	547	7	manuel	manuel	PROPN
ejpam-5562	547	8	e	e	PROPN
ejpam-5562	547	9	hernandez	hernandez	PROPN
ejpam-5562	547	10	,	,	PUNCT
ejpam-5562	547	11	claudia	claudia	PROPN
ejpam-5562	547	12	lainscsek	lainscsek	PROPN
ejpam-5562	547	13	,	,	PUNCT
ejpam-5562	547	14	howard	howard	PROPN
ejpam-5562	547	15	poizner	poizner	NOUN
ejpam-5562	547	16	,	,	PUNCT
ejpam-5562	547	17	and	and	CCONJ
ejpam-5562	547	18	terrence	terrence	PROPN
ejpam-5562	547	19	j	j	PROPN
ejpam-5562	547	20	sejnowski	sejnowski	PROPN
ejpam-5562	547	21	.	.	PUNCT
ejpam-5562	548	1	multimodal	multimodal	ADJ
ejpam-5562	548	2	classification	classification	NOUN
ejpam-5562	548	3	of	of	ADP
ejpam-5562	548	4	parkinson	parkinson	NOUN
ejpam-5562	548	5	’s	’s	PART
ejpam-5562	548	6	disease	disease	NOUN
ejpam-5562	548	7	using	use	VERB
ejpam-5562	548	8	delay	delay	NOUN
ejpam-5562	548	9	differential	differential	ADJ
ejpam-5562	548	10	analysis	analysis	NOUN
ejpam-5562	548	11	.	.	PUNCT
ejpam-5562	549	1	in	in	ADP
ejpam-5562	549	2	2020	2020	NUM
ejpam-5562	549	3	ieee	ieee	PROPN
ejpam-5562	549	4	international	international	ADJ
ejpam-5562	549	5	conference	conference	NOUN
ejpam-5562	549	6	on	on	ADP
ejpam-5562	549	7	bioinformatics	bioinformatics	NOUN
ejpam-5562	549	8	and	and	CCONJ
ejpam-5562	549	9	biomedicine	biomedicine	NOUN
ejpam-5562	549	10	(	(	PUNCT
ejpam-5562	549	11	bibm	bibm	PROPN
ejpam-5562	549	12	)	)	PUNCT
ejpam-5562	549	13	,	,	PUNCT
ejpam-5562	549	14	pages	page	NOUN
ejpam-5562	549	15	2868–2875	2868–2875	NUM
ejpam-5562	549	16	.	.	PUNCT
ejpam-5562	550	1	ieee	ieee	NOUN
ejpam-5562	550	2	,	,	PUNCT
ejpam-5562	550	3	2020	2020	NUM
ejpam-5562	550	4	.	.	PUNCT