id	sid	tid	token	lemma	pos
ejpam-3416	1	1	compile	compile	NOUN
ejpam-3416	1	2	/	/	SYM
ejpam-3416	1	3	output.dvi	output.dvi	NOUN
ejpam-3416	1	4	european	european	ADJ
ejpam-3416	1	5	journal	journal	NOUN
ejpam-3416	1	6	of	of	ADP
ejpam-3416	1	7	pure	pure	ADJ
ejpam-3416	1	8	and	and	CCONJ
ejpam-3416	1	9	applied	apply	VERB
ejpam-3416	1	10	mathematics	mathematic	NOUN
ejpam-3416	1	11	vol	vol	NOUN
ejpam-3416	1	12	.	.	PROPN
ejpam-3416	2	1	12	12	NUM
ejpam-3416	2	2	,	,	PUNCT
ejpam-3416	2	3	no	no	INTJ
ejpam-3416	2	4	.	.	NOUN
ejpam-3416	2	5	2	2	NUM
ejpam-3416	2	6	,	,	PUNCT
ejpam-3416	2	7	2019	2019	NUM
ejpam-3416	2	8	,	,	PUNCT
ejpam-3416	2	9	506	506	NUM
ejpam-3416	2	10	-	-	SYM
ejpam-3416	2	11	518	518	NUM
ejpam-3416	2	12	issn	issn	PROPN
ejpam-3416	2	13	1307	1307	NUM
ejpam-3416	2	14	-	-	SYM
ejpam-3416	2	15	5543	5543	NUM
ejpam-3416	2	16	–	–	PUNCT
ejpam-3416	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3416	2	18	published	publish	VERB
ejpam-3416	2	19	by	by	ADP
ejpam-3416	2	20	new	new	PROPN
ejpam-3416	2	21	york	york	PROPN
ejpam-3416	2	22	business	business	PROPN
ejpam-3416	2	23	global	global	ADJ
ejpam-3416	2	24	optimal	optimal	ADJ
ejpam-3416	2	25	control	control	NOUN
ejpam-3416	2	26	of	of	ADP
ejpam-3416	2	27	a	a	DET
ejpam-3416	2	28	time	time	NOUN
ejpam-3416	2	29	delayed	delay	VERB
ejpam-3416	2	30	hiv-1	hiv-1	VERB
ejpam-3416	2	31	infection	infection	NOUN
ejpam-3416	2	32	model	model	NOUN
ejpam-3416	2	33	nigar	nigar	PROPN
ejpam-3416	2	34	ali1,∗	ali1,∗	PROPN
ejpam-3416	2	35	,	,	PUNCT
ejpam-3416	2	36	muhammad	muhammad	PROPN
ejpam-3416	2	37	ikhlaq	ikhlaq	PROPN
ejpam-3416	2	38	chohan2	chohan2	PROPN
ejpam-3416	2	39	,	,	PUNCT
ejpam-3416	2	40	gul	gul	PROPN
ejpam-3416	2	41	zaman1	zaman1	PROPN
ejpam-3416	2	42	1	1	NUM
ejpam-3416	2	43	department	department	NOUN
ejpam-3416	2	44	of	of	ADP
ejpam-3416	2	45	mathematics	mathematic	NOUN
ejpam-3416	2	46	,	,	PUNCT
ejpam-3416	2	47	university	university	NOUN
ejpam-3416	2	48	of	of	ADP
ejpam-3416	2	49	malakand	malakand	PROPN
ejpam-3416	2	50	,	,	PUNCT
ejpam-3416	2	51	chakadara	chakadara	NOUN
ejpam-3416	2	52	dir(l	dir(l	PROPN
ejpam-3416	2	53	)	)	PUNCT
ejpam-3416	2	54	,	,	PUNCT
ejpam-3416	2	55	khyber	khyber	PROPN
ejpam-3416	2	56	pakhtunkhwa	pakhtunkhwa	PROPN
ejpam-3416	2	57	,	,	PUNCT
ejpam-3416	2	58	pakistan	pakistan	PROPN
ejpam-3416	2	59	2	2	NUM
ejpam-3416	2	60	department	department	NOUN
ejpam-3416	2	61	of	of	ADP
ejpam-3416	2	62	business	business	PROPN
ejpam-3416	2	63	administration	administration	PROPN
ejpam-3416	2	64	and	and	CCONJ
ejpam-3416	2	65	accounting	accounting	PROPN
ejpam-3416	2	66	al	al	PROPN
ejpam-3416	2	67	buraimi	buraimi	PROPN
ejpam-3416	2	68	university	university	PROPN
ejpam-3416	2	69	college	college	PROPN
ejpam-3416	2	70	,	,	PUNCT
ejpam-3416	2	71	al	al	PROPN
ejpam-3416	2	72	-	-	PUNCT
ejpam-3416	2	73	buraimi	buraimi	PROPN
ejpam-3416	2	74	sultanate	sultanate	NOUN
ejpam-3416	2	75	of	of	ADP
ejpam-3416	2	76	oman	oman	PROPN
ejpam-3416	2	77	abstract	abstract	NOUN
ejpam-3416	2	78	.	.	PUNCT
ejpam-3416	3	1	in	in	ADP
ejpam-3416	3	2	this	this	DET
ejpam-3416	3	3	paper	paper	NOUN
ejpam-3416	3	4	,	,	PUNCT
ejpam-3416	3	5	an	an	DET
ejpam-3416	3	6	optimal	optimal	ADJ
ejpam-3416	3	7	control	control	NOUN
ejpam-3416	3	8	problem	problem	NOUN
ejpam-3416	3	9	of	of	ADP
ejpam-3416	3	10	hiv	hiv	PROPN
ejpam-3416	3	11	infection	infection	NOUN
ejpam-3416	3	12	model	model	NOUN
ejpam-3416	3	13	of	of	ADP
ejpam-3416	3	14	delay	delay	NOUN
ejpam-3416	3	15	differential	differential	ADJ
ejpam-3416	3	16	equations	equation	NOUN
ejpam-3416	3	17	is	be	AUX
ejpam-3416	3	18	taken	take	VERB
ejpam-3416	3	19	into	into	ADP
ejpam-3416	3	20	account	account	NOUN
ejpam-3416	3	21	.	.	PUNCT
ejpam-3416	4	1	two	two	NUM
ejpam-3416	4	2	optimal	optimal	ADJ
ejpam-3416	4	3	controls	control	NOUN
ejpam-3416	4	4	variables	variable	NOUN
ejpam-3416	4	5	are	be	AUX
ejpam-3416	4	6	explored	explore	VERB
ejpam-3416	4	7	.	.	PUNCT
ejpam-3416	5	1	these	these	DET
ejpam-3416	5	2	optimal	optimal	ADJ
ejpam-3416	5	3	control	control	NOUN
ejpam-3416	5	4	variables	variable	NOUN
ejpam-3416	5	5	represent	represent	VERB
ejpam-3416	5	6	reverse	reverse	ADJ
ejpam-3416	5	7	transcriptase	transcriptase	NOUN
ejpam-3416	5	8	inhibitors	inhibitor	NOUN
ejpam-3416	5	9	(	(	PUNCT
ejpam-3416	5	10	rtis	rtis	NOUN
ejpam-3416	5	11	)	)	PUNCT
ejpam-3416	5	12	and	and	CCONJ
ejpam-3416	5	13	protease	protease	NOUN
ejpam-3416	5	14	inhibitors	inhibitor	NOUN
ejpam-3416	5	15	(	(	PUNCT
ejpam-3416	5	16	pis	pis	NOUN
ejpam-3416	5	17	)	)	PUNCT
ejpam-3416	5	18	.	.	PUNCT
ejpam-3416	6	1	the	the	DET
ejpam-3416	6	2	existence	existence	NOUN
ejpam-3416	6	3	and	and	CCONJ
ejpam-3416	6	4	uniqueness	uniqueness	NOUN
ejpam-3416	6	5	results	result	NOUN
ejpam-3416	6	6	for	for	ADP
ejpam-3416	6	7	the	the	DET
ejpam-3416	6	8	optimal	optimal	ADJ
ejpam-3416	6	9	control	control	NOUN
ejpam-3416	6	10	pair	pair	NOUN
ejpam-3416	6	11	are	be	AUX
ejpam-3416	6	12	established	establish	VERB
ejpam-3416	6	13	.	.	PUNCT
ejpam-3416	7	1	the	the	DET
ejpam-3416	7	2	optimality	optimality	NOUN
ejpam-3416	7	3	system	system	NOUN
ejpam-3416	7	4	is	be	AUX
ejpam-3416	7	5	derived	derive	VERB
ejpam-3416	7	6	using	use	VERB
ejpam-3416	7	7	pontryagin	pontryagin	NOUN
ejpam-3416	7	8	’s	’s	PART
ejpam-3416	7	9	maximum	maximum	ADJ
ejpam-3416	7	10	principle	principle	NOUN
ejpam-3416	7	11	and	and	CCONJ
ejpam-3416	7	12	then	then	ADV
ejpam-3416	7	13	solved	solve	VERB
ejpam-3416	7	14	numerically	numerically	ADV
ejpam-3416	7	15	.	.	PUNCT
ejpam-3416	8	1	finally	finally	ADV
ejpam-3416	8	2	,	,	PUNCT
ejpam-3416	8	3	conclusion	conclusion	NOUN
ejpam-3416	8	4	is	be	AUX
ejpam-3416	8	5	drawn	draw	VERB
ejpam-3416	8	6	.	.	PUNCT
ejpam-3416	9	1	2010	2010	NUM
ejpam-3416	9	2	mathematics	mathematic	NOUN
ejpam-3416	9	3	subject	subject	NOUN
ejpam-3416	9	4	classifications	classification	NOUN
ejpam-3416	9	5	:	:	PUNCT
ejpam-3416	9	6	92d25	92d25	NUM
ejpam-3416	9	7	,	,	PUNCT
ejpam-3416	9	8	49j15	49j15	NUM
ejpam-3416	9	9	,	,	PUNCT
ejpam-3416	9	10	93d20	93d20	NUM
ejpam-3416	9	11	.	.	PUNCT
ejpam-3416	10	1	key	key	ADJ
ejpam-3416	10	2	words	word	NOUN
ejpam-3416	10	3	and	and	CCONJ
ejpam-3416	10	4	phrases	phrase	NOUN
ejpam-3416	10	5	:	:	PUNCT
ejpam-3416	10	6	hiv-1	hiv-1	X
ejpam-3416	10	7	model	model	NOUN
ejpam-3416	10	8	,	,	PUNCT
ejpam-3416	10	9	optimal	optimal	ADJ
ejpam-3416	10	10	control	control	NOUN
ejpam-3416	10	11	,	,	PUNCT
ejpam-3416	10	12	recombinant	recombinant	ADJ
ejpam-3416	10	13	virus	virus	NOUN
ejpam-3416	10	14	,	,	PUNCT
ejpam-3416	10	15	pontryagin	pontryagin	NOUN
ejpam-3416	10	16	’s	’s	PART
ejpam-3416	10	17	maximum	maximum	ADJ
ejpam-3416	10	18	principle	principle	NOUN
ejpam-3416	10	19	,	,	PUNCT
ejpam-3416	10	20	objective	objective	ADJ
ejpam-3416	10	21	functional	functional	ADJ
ejpam-3416	10	22	.	.	PUNCT
ejpam-3416	11	1	1	1	X
ejpam-3416	11	2	.	.	X
ejpam-3416	11	3	introduction	introduction	NOUN
ejpam-3416	11	4	hiv	hiv	PROPN
ejpam-3416	11	5	stands	stand	VERB
ejpam-3416	11	6	for	for	ADP
ejpam-3416	11	7	human	human	ADJ
ejpam-3416	11	8	immunodeficiency	immunodeficiency	NOUN
ejpam-3416	11	9	virus	virus	NOUN
ejpam-3416	11	10	.	.	PUNCT
ejpam-3416	12	1	it	it	PRON
ejpam-3416	12	2	is	be	AUX
ejpam-3416	12	3	the	the	DET
ejpam-3416	12	4	virus	virus	NOUN
ejpam-3416	12	5	that	that	PRON
ejpam-3416	12	6	can	can	AUX
ejpam-3416	12	7	lead	lead	VERB
ejpam-3416	12	8	to	to	ADP
ejpam-3416	12	9	acquired	acquire	VERB
ejpam-3416	12	10	immunodeficiency	immunodeficiency	NOUN
ejpam-3416	12	11	syndrome	syndrome	NOUN
ejpam-3416	12	12	,	,	PUNCT
ejpam-3416	12	13	or	or	CCONJ
ejpam-3416	12	14	aids	aid	NOUN
ejpam-3416	12	15	,	,	PUNCT
ejpam-3416	12	16	if	if	SCONJ
ejpam-3416	12	17	not	not	PART
ejpam-3416	12	18	treated	treat	VERB
ejpam-3416	12	19	.	.	PUNCT
ejpam-3416	13	1	unlike	unlike	ADP
ejpam-3416	13	2	some	some	DET
ejpam-3416	13	3	other	other	ADJ
ejpam-3416	13	4	viruses	virus	NOUN
ejpam-3416	13	5	,	,	PUNCT
ejpam-3416	13	6	the	the	DET
ejpam-3416	13	7	human	human	ADJ
ejpam-3416	13	8	body	body	NOUN
ejpam-3416	13	9	ca	can	AUX
ejpam-3416	13	10	n’t	not	PART
ejpam-3416	13	11	get	get	AUX
ejpam-3416	13	12	rid	rid	VERB
ejpam-3416	13	13	of	of	ADP
ejpam-3416	13	14	hiv	hiv	PROPN
ejpam-3416	13	15	completely	completely	ADV
ejpam-3416	13	16	,	,	PUNCT
ejpam-3416	13	17	even	even	ADV
ejpam-3416	13	18	with	with	ADP
ejpam-3416	13	19	treatment	treatment	NOUN
ejpam-3416	13	20	.	.	PUNCT
ejpam-3416	14	1	hiv	hiv	PROPN
ejpam-3416	14	2	attacks	attack	VERB
ejpam-3416	14	3	the	the	DET
ejpam-3416	14	4	body	body	NOUN
ejpam-3416	14	5	’s	’s	PART
ejpam-3416	14	6	immune	immune	ADJ
ejpam-3416	14	7	system	system	NOUN
ejpam-3416	14	8	,	,	PUNCT
ejpam-3416	14	9	specifically	specifically	ADV
ejpam-3416	14	10	the	the	DET
ejpam-3416	14	11	cd4	cd4	PROPN
ejpam-3416	14	12	cells	cell	NOUN
ejpam-3416	14	13	(	(	PUNCT
ejpam-3416	14	14	t	t	NOUN
ejpam-3416	14	15	cells	cell	NOUN
ejpam-3416	14	16	)	)	PUNCT
ejpam-3416	14	17	,	,	PUNCT
ejpam-3416	14	18	which	which	PRON
ejpam-3416	14	19	help	help	VERB
ejpam-3416	14	20	the	the	DET
ejpam-3416	14	21	immune	immune	ADJ
ejpam-3416	14	22	system	system	NOUN
ejpam-3416	14	23	fight	fight	VERB
ejpam-3416	14	24	off	off	ADP
ejpam-3416	14	25	infections	infection	NOUN
ejpam-3416	14	26	.	.	PUNCT
ejpam-3416	15	1	no	no	DET
ejpam-3416	15	2	effective	effective	ADJ
ejpam-3416	15	3	cure	cure	NOUN
ejpam-3416	15	4	currently	currently	ADV
ejpam-3416	15	5	exists	exist	VERB
ejpam-3416	15	6	,	,	PUNCT
ejpam-3416	15	7	but	but	CCONJ
ejpam-3416	15	8	with	with	ADP
ejpam-3416	15	9	proper	proper	ADJ
ejpam-3416	15	10	medical	medical	ADJ
ejpam-3416	15	11	care	care	NOUN
ejpam-3416	15	12	,	,	PUNCT
ejpam-3416	15	13	hiv	hiv	PROPN
ejpam-3416	15	14	can	can	AUX
ejpam-3416	15	15	be	be	AUX
ejpam-3416	15	16	controlled	control	VERB
ejpam-3416	15	17	.	.	PUNCT
ejpam-3416	16	1	but	but	CCONJ
ejpam-3416	16	2	with	with	ADP
ejpam-3416	16	3	proper	proper	ADJ
ejpam-3416	16	4	medical	medical	ADJ
ejpam-3416	16	5	care	care	NOUN
ejpam-3416	16	6	,	,	PUNCT
ejpam-3416	16	7	hiv	hiv	PROPN
ejpam-3416	16	8	can	can	AUX
ejpam-3416	16	9	be	be	AUX
ejpam-3416	16	10	controlled	control	VERB
ejpam-3416	16	11	.	.	PUNCT
ejpam-3416	17	1	mathematical	mathematical	ADJ
ejpam-3416	17	2	models	model	NOUN
ejpam-3416	17	3	have	have	AUX
ejpam-3416	17	4	evaluated	evaluate	VERB
ejpam-3416	17	5	a	a	DET
ejpam-3416	17	6	wide	wide	ADJ
ejpam-3416	17	7	range	range	NOUN
ejpam-3416	17	8	of	of	ADP
ejpam-3416	17	9	different	different	ADJ
ejpam-3416	17	10	hiv	hiv	PROPN
ejpam-3416	17	11	prevention	prevention	NOUN
ejpam-3416	17	12	and	and	CCONJ
ejpam-3416	17	13	treatment	treatment	NOUN
ejpam-3416	17	14	programmes	programme	NOUN
ejpam-3416	17	15	.	.	PUNCT
ejpam-3416	18	1	mathematical	mathematical	ADJ
ejpam-3416	18	2	modeling	modeling	NOUN
ejpam-3416	18	3	over	over	ADP
ejpam-3416	18	4	the	the	DET
ejpam-3416	18	5	years	year	NOUN
ejpam-3416	18	6	has	have	AUX
ejpam-3416	18	7	been	be	AUX
ejpam-3416	18	8	useful	useful	ADJ
ejpam-3416	18	9	in	in	ADP
ejpam-3416	18	10	analyzing	analyze	VERB
ejpam-3416	18	11	various	various	ADJ
ejpam-3416	18	12	diseases	disease	NOUN
ejpam-3416	18	13	dynamics	dynamic	NOUN
ejpam-3416	18	14	,	,	PUNCT
ejpam-3416	18	15	such	such	ADJ
ejpam-3416	18	16	as	as	ADP
ejpam-3416	18	17	hiv	hiv	PROPN
ejpam-3416	18	18	/	/	SYM
ejpam-3416	18	19	aids	aids	PROPN
ejpam-3416	18	20	,	,	PUNCT
ejpam-3416	18	21	malaria	malaria	NOUN
ejpam-3416	18	22	and	and	CCONJ
ejpam-3416	18	23	tuberculosis	tuberculosis	NOUN
ejpam-3416	18	24	,	,	PUNCT
ejpam-3416	18	25	and	and	CCONJ
ejpam-3416	18	26	also	also	ADV
ejpam-3416	18	27	plays	play	VERB
ejpam-3416	18	28	an	an	DET
ejpam-3416	18	29	important	important	ADJ
ejpam-3416	18	30	role	role	NOUN
ejpam-3416	18	31	in	in	ADP
ejpam-3416	18	32	the	the	DET
ejpam-3416	18	33	better	well	ADJ
ejpam-3416	18	34	understanding	understanding	NOUN
ejpam-3416	18	35	of	of	ADP
ejpam-3416	18	36	epidemiological	epidemiological	ADJ
ejpam-3416	18	37	patterns	pattern	NOUN
ejpam-3416	18	38	for	for	ADP
ejpam-3416	18	39	diseases	disease	NOUN
ejpam-3416	18	40	control	control	NOUN
ejpam-3416	18	41	,	,	PUNCT
ejpam-3416	18	42	as	as	SCONJ
ejpam-3416	18	43	it	it	PRON
ejpam-3416	18	44	provides	provide	VERB
ejpam-3416	18	45	short	short	ADJ
ejpam-3416	18	46	and	and	CCONJ
ejpam-3416	18	47	long	long	ADJ
ejpam-3416	18	48	term	term	NOUN
ejpam-3416	18	49	prediction	prediction	NOUN
ejpam-3416	18	50	of	of	ADP
ejpam-3416	18	51	diseases	disease	NOUN
ejpam-3416	18	52	incidence	incidence	NOUN
ejpam-3416	18	53	.	.	PUNCT
ejpam-3416	19	1	several	several	ADJ
ejpam-3416	19	2	mathematical	mathematical	ADJ
ejpam-3416	19	3	models	model	NOUN
ejpam-3416	19	4	have	have	AUX
ejpam-3416	19	5	been	be	AUX
ejpam-3416	19	6	formulated	formulate	VERB
ejpam-3416	19	7	in	in	ADP
ejpam-3416	19	8	order	order	NOUN
ejpam-3416	19	9	to	to	PART
ejpam-3416	19	10	understand	understand	VERB
ejpam-3416	19	11	the	the	DET
ejpam-3416	19	12	dynamics	dynamic	NOUN
ejpam-3416	19	13	of	of	ADP
ejpam-3416	19	14	hiv	hiv	PROPN
ejpam-3416	19	15	infection	infection	NOUN
ejpam-3416	19	16	∗corresponding	∗corresponde	VERB
ejpam-3416	19	17	author	author	NOUN
ejpam-3416	19	18	.	.	PUNCT
ejpam-3416	20	1	doi	doi	NOUN
ejpam-3416	20	2	:	:	PUNCT
ejpam-3416	20	3	https://doi.org/10.29020/nybg.ejpam.v12i2.3416	https://doi.org/10.29020/nybg.ejpam.v12i2.3416	X
ejpam-3416	20	4	email	email	NOUN
ejpam-3416	20	5	addresses	address	VERB
ejpam-3416	20	6	:	:	PUNCT
ejpam-3416	20	7	nigaruom@gmail.com	nigaruom@gmail.com	X
ejpam-3416	20	8	(	(	PUNCT
ejpam-3416	20	9	n.ali),chohan@buc.edu.om	n.ali),chohan@buc.edu.om	X
ejpam-3416	20	10	(	(	PUNCT
ejpam-3416	20	11	m.i.chohan	m.i.chohan	PROPN
ejpam-3416	20	12	)	)	PUNCT
ejpam-3416	20	13	,	,	PUNCT
ejpam-3416	20	14	gzaman@uom.edu.pk	gzaman@uom.edu.pk	NOUN
ejpam-3416	20	15	(	(	PUNCT
ejpam-3416	20	16	g.zaman	g.zaman	NOUN
ejpam-3416	20	17	)	)	PUNCT
ejpam-3416	20	18	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3416	21	1	506	506	NUM
ejpam-3416	21	2	c	c	NOUN
ejpam-3416	21	3	©	©	PROPN
ejpam-3416	21	4	2019	2019	NUM
ejpam-3416	21	5	ejpam	ejpam	NOUN
ejpam-3416	21	6	all	all	DET
ejpam-3416	21	7	rights	right	NOUN
ejpam-3416	21	8	reserved	reserve	VERB
ejpam-3416	21	9	.	.	PUNCT
ejpam-3416	22	1	n.ali	n.ali	PROPN
ejpam-3416	22	2	,	,	PUNCT
ejpam-3416	22	3	m.i	m.i	PROPN
ejpam-3416	22	4	.	.	PROPN
ejpam-3416	22	5	chohan	chohan	PROPN
ejpam-3416	22	6	,	,	PUNCT
ejpam-3416	22	7	g.	g.	PROPN
ejpam-3416	22	8	zaman	zaman	PROPN
ejpam-3416	22	9	/	/	SYM
ejpam-3416	22	10	eur	eur	PROPN
ejpam-3416	22	11	.	.	PUNCT
ejpam-3416	23	1	j.	j.	PROPN
ejpam-3416	23	2	pure	pure	PROPN
ejpam-3416	23	3	appl	appl	PROPN
ejpam-3416	23	4	.	.	PROPN
ejpam-3416	23	5	math	math	PROPN
ejpam-3416	23	6	,	,	PUNCT
ejpam-3416	23	7	12	12	NUM
ejpam-3416	23	8	(	(	PUNCT
ejpam-3416	23	9	2	2	NUM
ejpam-3416	23	10	)	)	PUNCT
ejpam-3416	23	11	(	(	PUNCT
ejpam-3416	23	12	2019	2019	NUM
ejpam-3416	23	13	)	)	PUNCT
ejpam-3416	23	14	,	,	PUNCT
ejpam-3416	23	15	506	506	NUM
ejpam-3416	23	16	-	-	SYM
ejpam-3416	23	17	518	518	NUM
ejpam-3416	23	18	507	507	NUM
ejpam-3416	23	19	[	[	SYM
ejpam-3416	23	20	6	6	NUM
ejpam-3416	23	21	,	,	PUNCT
ejpam-3416	23	22	9	9	NUM
ejpam-3416	23	23	,	,	PUNCT
ejpam-3416	23	24	13–16	13–16	NUM
ejpam-3416	23	25	,	,	PUNCT
ejpam-3416	23	26	19–22	19–22	NUM
ejpam-3416	23	27	]	]	PUNCT
ejpam-3416	23	28	.	.	PUNCT
ejpam-3416	24	1	these	these	DET
ejpam-3416	24	2	models	model	NOUN
ejpam-3416	24	3	are	be	AUX
ejpam-3416	24	4	utilized	utilize	VERB
ejpam-3416	24	5	to	to	PART
ejpam-3416	24	6	explore	explore	VERB
ejpam-3416	24	7	optimal	optimal	ADJ
ejpam-3416	24	8	chemotherapy	chemotherapy	NOUN
ejpam-3416	24	9	treatment	treatment	NOUN
ejpam-3416	24	10	to	to	PART
ejpam-3416	24	11	avoid	avoid	VERB
ejpam-3416	24	12	an	an	DET
ejpam-3416	24	13	excessive	excessive	ADJ
ejpam-3416	24	14	use	use	NOUN
ejpam-3416	24	15	of	of	ADP
ejpam-3416	24	16	drugs	drug	NOUN
ejpam-3416	24	17	.	.	PUNCT
ejpam-3416	25	1	indeed	indeed	ADV
ejpam-3416	25	2	,	,	PUNCT
ejpam-3416	25	3	when	when	SCONJ
ejpam-3416	25	4	these	these	DET
ejpam-3416	25	5	drugs	drug	NOUN
ejpam-3416	25	6	are	be	AUX
ejpam-3416	25	7	administered	administer	VERB
ejpam-3416	25	8	in	in	ADP
ejpam-3416	25	9	high	high	ADJ
ejpam-3416	25	10	dose	dose	NOUN
ejpam-3416	25	11	they	they	PRON
ejpam-3416	25	12	are	be	AUX
ejpam-3416	25	13	toxic	toxic	ADJ
ejpam-3416	25	14	to	to	ADP
ejpam-3416	25	15	the	the	DET
ejpam-3416	25	16	human	human	ADJ
ejpam-3416	25	17	body	body	NOUN
ejpam-3416	25	18	and	and	CCONJ
ejpam-3416	25	19	cause	cause	VERB
ejpam-3416	25	20	damages	damage	NOUN
ejpam-3416	25	21	.	.	PUNCT
ejpam-3416	26	1	fister	fister	NOUN
ejpam-3416	26	2	et	et	PROPN
ejpam-3416	26	3	al	al	PROPN
ejpam-3416	26	4	.	.	PUNCT
ejpam-3416	27	1	[	[	X
ejpam-3416	27	2	16	16	NUM
ejpam-3416	27	3	]	]	PUNCT
ejpam-3416	27	4	applied	apply	VERB
ejpam-3416	27	5	optimal	optimal	ADJ
ejpam-3416	27	6	control	control	NOUN
ejpam-3416	27	7	on	on	ADP
ejpam-3416	27	8	hiv-1	hiv-1	X
ejpam-3416	27	9	model	model	NOUN
ejpam-3416	27	10	and	and	CCONJ
ejpam-3416	27	11	discussed	discuss	VERB
ejpam-3416	27	12	the	the	DET
ejpam-3416	27	13	percentage	percentage	NOUN
ejpam-3416	27	14	effect	effect	NOUN
ejpam-3416	27	15	of	of	ADP
ejpam-3416	27	16	the	the	DET
ejpam-3416	27	17	chemotherapy	chemotherapy	NOUN
ejpam-3416	27	18	on	on	ADP
ejpam-3416	27	19	the	the	DET
ejpam-3416	27	20	interaction	interaction	NOUN
ejpam-3416	27	21	of	of	ADP
ejpam-3416	27	22	the	the	DET
ejpam-3416	27	23	cd4	cd4	PROPN
ejpam-3416	27	24	+	+	PROPN
ejpam-3416	27	25	t	t	NOUN
ejpam-3416	27	26	cells	cell	NOUN
ejpam-3416	27	27	with	with	ADP
ejpam-3416	27	28	the	the	DET
ejpam-3416	27	29	virus	virus	NOUN
ejpam-3416	27	30	.	.	PUNCT
ejpam-3416	28	1	similarly	similarly	ADV
ejpam-3416	28	2	,	,	PUNCT
ejpam-3416	28	3	joshi	joshi	PROPN
ejpam-3416	28	4	[	[	X
ejpam-3416	28	5	12	12	NUM
ejpam-3416	28	6	]	]	PUNCT
ejpam-3416	28	7	taken	take	VERB
ejpam-3416	28	8	into	into	ADP
ejpam-3416	28	9	account	account	NOUN
ejpam-3416	28	10	two	two	NUM
ejpam-3416	28	11	control	control	NOUN
ejpam-3416	28	12	variables	variable	NOUN
ejpam-3416	28	13	,	,	PUNCT
ejpam-3416	28	14	one	one	NUM
ejpam-3416	28	15	for	for	ADP
ejpam-3416	28	16	raising	raise	VERB
ejpam-3416	28	17	the	the	DET
ejpam-3416	28	18	immune	immune	ADJ
ejpam-3416	28	19	system	system	NOUN
ejpam-3416	28	20	and	and	CCONJ
ejpam-3416	28	21	the	the	DET
ejpam-3416	28	22	other	other	ADJ
ejpam-3416	28	23	for	for	ADP
ejpam-3416	28	24	delaying	delay	VERB
ejpam-3416	28	25	hiv-1	hiv-1	PART
ejpam-3416	28	26	progression	progression	NOUN
ejpam-3416	28	27	.	.	PUNCT
ejpam-3416	29	1	garira	garira	PROPN
ejpam-3416	29	2	et	et	PROPN
ejpam-3416	29	3	al	al	PROPN
ejpam-3416	29	4	.	.	PUNCT
ejpam-3416	30	1	[	[	X
ejpam-3416	30	2	4	4	X
ejpam-3416	30	3	]	]	PUNCT
ejpam-3416	30	4	used	use	VERB
ejpam-3416	30	5	two	two	NUM
ejpam-3416	30	6	controls	control	NOUN
ejpam-3416	30	7	strategies	strategy	NOUN
ejpam-3416	30	8	which	which	PRON
ejpam-3416	30	9	simulate	simulate	VERB
ejpam-3416	30	10	the	the	DET
ejpam-3416	30	11	effect	effect	NOUN
ejpam-3416	30	12	of	of	ADP
ejpam-3416	30	13	reverse	reverse	ADJ
ejpam-3416	30	14	transcriptase	transcriptase	NOUN
ejpam-3416	30	15	inhibitors	inhibitor	NOUN
ejpam-3416	30	16	(	(	PUNCT
ejpam-3416	30	17	rtis	rtis	NOUN
ejpam-3416	30	18	)	)	PUNCT
ejpam-3416	30	19	and	and	CCONJ
ejpam-3416	30	20	protease	protease	NOUN
ejpam-3416	30	21	inhibitors	inhibitor	NOUN
ejpam-3416	30	22	(	(	PUNCT
ejpam-3416	30	23	pis	pis	NOUN
ejpam-3416	30	24	)	)	PUNCT
ejpam-3416	30	25	to	to	PART
ejpam-3416	30	26	integrate	integrate	VERB
ejpam-3416	30	27	drug	drug	NOUN
ejpam-3416	30	28	efficacy	efficacy	NOUN
ejpam-3416	30	29	.	.	PUNCT
ejpam-3416	31	1	ghanbari	ghanbari	PROPN
ejpam-3416	31	2	and	and	CCONJ
ejpam-3416	31	3	farahi	farahi	NOUN
ejpam-3416	32	1	[	[	X
ejpam-3416	32	2	5	5	NUM
ejpam-3416	32	3	]	]	PUNCT
ejpam-3416	32	4	obtained	obtain	VERB
ejpam-3416	32	5	optimal	optimal	ADJ
ejpam-3416	32	6	control	control	NOUN
ejpam-3416	32	7	pair	pair	NOUN
ejpam-3416	32	8	for	for	ADP
ejpam-3416	32	9	nonlinear	nonlinear	ADJ
ejpam-3416	32	10	delay	delay	NOUN
ejpam-3416	32	11	hiv	hiv	PROPN
ejpam-3416	32	12	model	model	NOUN
ejpam-3416	32	13	with	with	ADP
ejpam-3416	32	14	quadratic	quadratic	ADJ
ejpam-3416	32	15	cost	cost	NOUN
ejpam-3416	32	16	functional	functional	ADJ
ejpam-3416	32	17	by	by	ADP
ejpam-3416	32	18	using	use	VERB
ejpam-3416	32	19	fourier	fourier	PROPN
ejpam-3416	32	20	series	series	NOUN
ejpam-3416	32	21	approximation	approximation	NOUN
ejpam-3416	32	22	.	.	PUNCT
ejpam-3416	33	1	recent	recent	ADJ
ejpam-3416	33	2	research	research	NOUN
ejpam-3416	33	3	work	work	NOUN
ejpam-3416	33	4	has	have	AUX
ejpam-3416	33	5	been	be	AUX
ejpam-3416	33	6	focused	focus	VERB
ejpam-3416	33	7	on	on	ADP
ejpam-3416	33	8	optimal	optimal	ADJ
ejpam-3416	33	9	control	control	NOUN
ejpam-3416	33	10	problem	problem	NOUN
ejpam-3416	33	11	of	of	ADP
ejpam-3416	33	12	delayed	delay	VERB
ejpam-3416	33	13	hiv	hiv	PROPN
ejpam-3416	33	14	model	model	NOUN
ejpam-3416	33	15	(	(	PUNCT
ejpam-3416	33	16	see	see	VERB
ejpam-3416	33	17	for	for	ADP
ejpam-3416	33	18	example	example	NOUN
ejpam-3416	33	19	[	[	X
ejpam-3416	33	20	7	7	NUM
ejpam-3416	33	21	,	,	PUNCT
ejpam-3416	33	22	8	8	NUM
ejpam-3416	33	23	,	,	PUNCT
ejpam-3416	33	24	10	10	NUM
ejpam-3416	33	25	,	,	PUNCT
ejpam-3416	33	26	11	11	NUM
ejpam-3416	33	27	]	]	PUNCT
ejpam-3416	33	28	)	)	PUNCT
ejpam-3416	33	29	.	.	PUNCT
ejpam-3416	34	1	all	all	DET
ejpam-3416	34	2	these	these	DET
ejpam-3416	34	3	models	model	NOUN
ejpam-3416	34	4	considered	consider	VERB
ejpam-3416	34	5	the	the	DET
ejpam-3416	34	6	effect	effect	NOUN
ejpam-3416	34	7	of	of	ADP
ejpam-3416	34	8	control	control	NOUN
ejpam-3416	34	9	strategy	strategy	NOUN
ejpam-3416	34	10	on	on	ADP
ejpam-3416	34	11	single	single	ADJ
ejpam-3416	34	12	pathogen	pathogen	NOUN
ejpam-3416	34	13	virus	virus	NOUN
ejpam-3416	34	14	.	.	PUNCT
ejpam-3416	35	1	here	here	ADV
ejpam-3416	35	2	,	,	PUNCT
ejpam-3416	35	3	we	we	PRON
ejpam-3416	35	4	consider	consider	VERB
ejpam-3416	35	5	the	the	DET
ejpam-3416	35	6	delayed	delay	VERB
ejpam-3416	35	7	hiv-1	hiv-1	X
ejpam-3416	35	8	model	model	NOUN
ejpam-3416	35	9	consists	consist	VERB
ejpam-3416	35	10	of	of	ADP
ejpam-3416	35	11	two	two	NUM
ejpam-3416	35	12	types	type	NOUN
ejpam-3416	35	13	of	of	ADP
ejpam-3416	35	14	viruses	virus	NOUN
ejpam-3416	35	15	,	,	PUNCT
ejpam-3416	35	16	that	that	ADV
ejpam-3416	35	17	is	is	ADV
ejpam-3416	35	18	,	,	PUNCT
ejpam-3416	35	19	pathogen	pathogen	NOUN
ejpam-3416	35	20	virus	virus	NOUN
ejpam-3416	35	21	and	and	CCONJ
ejpam-3416	35	22	engineered	engineer	VERB
ejpam-3416	35	23	virus	virus	NOUN
ejpam-3416	35	24	.	.	PUNCT
ejpam-3416	36	1	in	in	ADP
ejpam-3416	36	2	this	this	DET
ejpam-3416	36	3	paper	paper	NOUN
ejpam-3416	36	4	,	,	PUNCT
ejpam-3416	36	5	we	we	PRON
ejpam-3416	36	6	develop	develop	VERB
ejpam-3416	36	7	the	the	DET
ejpam-3416	36	8	best	good	ADJ
ejpam-3416	36	9	strategy	strategy	NOUN
ejpam-3416	36	10	of	of	ADP
ejpam-3416	36	11	treatment	treatment	NOUN
ejpam-3416	36	12	;	;	PUNCT
ejpam-3416	36	13	more	more	ADV
ejpam-3416	36	14	exactly	exactly	ADV
ejpam-3416	36	15	we	we	PRON
ejpam-3416	36	16	seek	seek	VERB
ejpam-3416	36	17	to	to	PART
ejpam-3416	36	18	search	search	VERB
ejpam-3416	36	19	a	a	DET
ejpam-3416	36	20	maximum	maximum	ADJ
ejpam-3416	36	21	count	count	NOUN
ejpam-3416	36	22	of	of	ADP
ejpam-3416	36	23	healthy	healthy	ADJ
ejpam-3416	36	24	cells	cell	NOUN
ejpam-3416	36	25	with	with	ADP
ejpam-3416	36	26	a	a	DET
ejpam-3416	36	27	minimum	minimum	ADJ
ejpam-3416	36	28	dose	dose	NOUN
ejpam-3416	36	29	of	of	ADP
ejpam-3416	36	30	the	the	DET
ejpam-3416	36	31	administered	administer	VERB
ejpam-3416	36	32	drugs	drug	NOUN
ejpam-3416	36	33	.	.	PUNCT
ejpam-3416	37	1	to	to	PART
ejpam-3416	37	2	introduce	introduce	VERB
ejpam-3416	37	3	a	a	DET
ejpam-3416	37	4	control	control	NOUN
ejpam-3416	37	5	to	to	ADP
ejpam-3416	37	6	the	the	DET
ejpam-3416	37	7	proposed	propose	VERB
ejpam-3416	37	8	model	model	NOUN
ejpam-3416	37	9	,	,	PUNCT
ejpam-3416	37	10	we	we	PRON
ejpam-3416	37	11	analyze	analyze	VERB
ejpam-3416	37	12	the	the	DET
ejpam-3416	37	13	interactions	interaction	NOUN
ejpam-3416	37	14	of	of	ADP
ejpam-3416	37	15	healthy	healthy	ADJ
ejpam-3416	37	16	cd4+t	cd4+t	ADJ
ejpam-3416	37	17	cells	cell	NOUN
ejpam-3416	37	18	,	,	PUNCT
ejpam-3416	37	19	single	single	ADJ
ejpam-3416	37	20	infected	infect	VERB
ejpam-3416	37	21	cd4+t	cd4+t	ADJ
ejpam-3416	37	22	cells	cell	NOUN
ejpam-3416	37	23	,	,	PUNCT
ejpam-3416	37	24	double	double	ADJ
ejpam-3416	37	25	infected	infected	ADJ
ejpam-3416	37	26	cells	cell	NOUN
ejpam-3416	37	27	,	,	PUNCT
ejpam-3416	37	28	free	free	ADJ
ejpam-3416	37	29	virus	virus	NOUN
ejpam-3416	37	30	and	and	CCONJ
ejpam-3416	37	31	recombinant	recombinant	ADJ
ejpam-3416	37	32	virus	virus	NOUN
ejpam-3416	37	33	:	:	PUNCT
ejpam-3416	37	34	two	two	NUM
ejpam-3416	37	35	major	major	ADJ
ejpam-3416	37	36	categories	category	NOUN
ejpam-3416	37	37	of	of	ADP
ejpam-3416	37	38	anti	anti	ADJ
ejpam-3416	37	39	-	-	ADJ
ejpam-3416	37	40	retroviral	retroviral	ADJ
ejpam-3416	37	41	drugs	drug	NOUN
ejpam-3416	37	42	to	to	PART
ejpam-3416	37	43	combat	combat	VERB
ejpam-3416	37	44	hiv	hiv	PROPN
ejpam-3416	37	45	are	be	AUX
ejpam-3416	37	46	reverse	reverse	ADJ
ejpam-3416	37	47	transcriptase	transcriptase	NOUN
ejpam-3416	37	48	inhibitors	inhibitor	NOUN
ejpam-3416	37	49	(	(	PUNCT
ejpam-3416	37	50	rtis	rtis	NOUN
ejpam-3416	37	51	)	)	PUNCT
ejpam-3416	37	52	and	and	CCONJ
ejpam-3416	37	53	protease	protease	NOUN
ejpam-3416	37	54	inhibitors	inhibitor	NOUN
ejpam-3416	37	55	(	(	PUNCT
ejpam-3416	37	56	pis	pis	NOUN
ejpam-3416	37	57	)	)	PUNCT
ejpam-3416	37	58	.	.	PUNCT
ejpam-3416	38	1	rtis	rtis	PROPN
ejpam-3416	38	2	prevent	prevent	VERB
ejpam-3416	38	3	new	new	ADJ
ejpam-3416	38	4	hiv	hiv	PROPN
ejpam-3416	38	5	infection	infection	NOUN
ejpam-3416	38	6	by	by	ADP
ejpam-3416	38	7	discrupting	discrupte	VERB
ejpam-3416	38	8	the	the	DET
ejpam-3416	38	9	conversion	conversion	NOUN
ejpam-3416	38	10	of	of	ADP
ejpam-3416	38	11	viral	viral	ADJ
ejpam-3416	38	12	rna	rna	NOUN
ejpam-3416	38	13	into	into	ADP
ejpam-3416	38	14	dna	dna	PROPN
ejpam-3416	38	15	inside	inside	ADP
ejpam-3416	38	16	of	of	ADP
ejpam-3416	38	17	t	t	NOUN
ejpam-3416	38	18	cells	cell	NOUN
ejpam-3416	38	19	.	.	PUNCT
ejpam-3416	39	1	pis	pis	AUX
ejpam-3416	39	2	reduce	reduce	VERB
ejpam-3416	39	3	the	the	DET
ejpam-3416	39	4	number	number	NOUN
ejpam-3416	39	5	of	of	ADP
ejpam-3416	39	6	viruses	virus	NOUN
ejpam-3416	39	7	particles	particle	NOUN
ejpam-3416	39	8	produced	produce	VERB
ejpam-3416	39	9	by	by	ADP
ejpam-3416	39	10	an	an	DET
ejpam-3416	39	11	actively	actively	ADV
ejpam-3416	39	12	-	-	PUNCT
ejpam-3416	39	13	infected	infect	VERB
ejpam-3416	39	14	t	t	NOUN
ejpam-3416	39	15	cells	cell	NOUN
ejpam-3416	39	16	.	.	PUNCT
ejpam-3416	40	1	hence	hence	ADV
ejpam-3416	40	2	,	,	PUNCT
ejpam-3416	40	3	if	if	SCONJ
ejpam-3416	40	4	we	we	PRON
ejpam-3416	40	5	denote	denote	VERB
ejpam-3416	40	6	0	0	NUM
ejpam-3416	40	7	≤	≤	NUM
ejpam-3416	40	8	u1(t	u1(t	ADP
ejpam-3416	40	9	)	)	PUNCT
ejpam-3416	40	10	<	<	X
ejpam-3416	40	11	1	1	NUM
ejpam-3416	40	12	the	the	DET
ejpam-3416	40	13	rti	rti	PROPN
ejpam-3416	40	14	control	control	PROPN
ejpam-3416	40	15	variable	variable	NOUN
ejpam-3416	40	16	and	and	CCONJ
ejpam-3416	40	17	0	0	NUM
ejpam-3416	40	18	≤	≤	NUM
ejpam-3416	40	19	u2(t	u2(t	NOUN
ejpam-3416	40	20	)	)	PUNCT
ejpam-3416	40	21	<	<	X
ejpam-3416	40	22	1	1	NUM
ejpam-3416	40	23	the	the	DET
ejpam-3416	40	24	pi	pi	PROPN
ejpam-3416	40	25	control	control	PROPN
ejpam-3416	40	26	variable	variable	ADJ
ejpam-3416	40	27	equations	equation	NOUN
ejpam-3416	40	28	.	.	PUNCT
ejpam-3416	41	1	these	these	DET
ejpam-3416	41	2	controls	control	NOUN
ejpam-3416	41	3	are	be	AUX
ejpam-3416	41	4	measurable	measurable	ADJ
ejpam-3416	41	5	functions	function	NOUN
ejpam-3416	41	6	satisfying	satisfy	VERB
ejpam-3416	41	7	0	0	NUM
ejpam-3416	41	8	≤	≤	NUM
ejpam-3416	41	9	uj(t	uj(t	PUNCT
ejpam-3416	41	10	)	)	PUNCT
ejpam-3416	41	11	<	<	X
ejpam-3416	41	12	1	1	NUM
ejpam-3416	41	13	for	for	ADP
ejpam-3416	41	14	j	j	PROPN
ejpam-3416	41	15	=	=	SYM
ejpam-3416	41	16	1	1	NUM
ejpam-3416	41	17	;	;	PUNCT
ejpam-3416	41	18	2	2	NUM
ejpam-3416	41	19	.	.	X
ejpam-3416	42	1	thus	thus	ADV
ejpam-3416	42	2	,	,	PUNCT
ejpam-3416	42	3	the	the	DET
ejpam-3416	42	4	following	follow	VERB
ejpam-3416	42	5	optimal	optimal	ADJ
ejpam-3416	42	6	control	control	NOUN
ejpam-3416	42	7	problem	problem	NOUN
ejpam-3416	42	8	is	be	AUX
ejpam-3416	42	9	formulated	formulate	VERB
ejpam-3416	42	10	.	.	PUNCT
ejpam-3416	43	1	dx(t	dx(t	NOUN
ejpam-3416	43	2	)	)	PUNCT
ejpam-3416	43	3	dt	dt	NOUN
ejpam-3416	44	1	=	=	SYM
ejpam-3416	44	2	λ−	λ−	PROPN
ejpam-3416	44	3	dx(t)−	dx(t)−	PROPN
ejpam-3416	44	4	(	(	PUNCT
ejpam-3416	44	5	1−	1−	NUM
ejpam-3416	44	6	u1(t))βx(t)v(t	u1(t))βx(t)v(t	NOUN
ejpam-3416	44	7	)	)	PUNCT
ejpam-3416	44	8	,	,	PUNCT
ejpam-3416	44	9	dy(t	dy(t	PUNCT
ejpam-3416	44	10	)	)	PUNCT
ejpam-3416	44	11	dt	dt	NOUN
ejpam-3416	45	1	=	=	PUNCT
ejpam-3416	45	2	(	(	PUNCT
ejpam-3416	45	3	1−	1−	NUM
ejpam-3416	45	4	u1(t))βe	u1(t))βe	PROPN
ejpam-3416	45	5	−aτx(t−	−aτx(t−	PROPN
ejpam-3416	45	6	τ)v(t−	τ)v(t−	PUNCT
ejpam-3416	46	1	τ)−	τ)−	PROPN
ejpam-3416	46	2	ay(t)−	ay(t)−	PROPN
ejpam-3416	46	3	αw(t)y(t	αw(t)y(t	PROPN
ejpam-3416	46	4	)	)	PUNCT
ejpam-3416	46	5	,	,	PUNCT
ejpam-3416	46	6	dz(t	dz(t	NOUN
ejpam-3416	46	7	)	)	PUNCT
ejpam-3416	46	8	dt	dt	X
ejpam-3416	47	1	=	=	SYM
ejpam-3416	47	2	αw(t)y(t)−	αw(t)y(t)−	PROPN
ejpam-3416	47	3	bz(t	bz(t	NOUN
ejpam-3416	47	4	)	)	PUNCT
ejpam-3416	47	5	,	,	PUNCT
ejpam-3416	47	6	(	(	PUNCT
ejpam-3416	47	7	1	1	NUM
ejpam-3416	47	8	)	)	PUNCT
ejpam-3416	47	9	dv(t	dv(t	PUNCT
ejpam-3416	47	10	)	)	PUNCT
ejpam-3416	47	11	dt	dt	PUNCT
ejpam-3416	48	1	=	=	PUNCT
ejpam-3416	48	2	k(1−	k(1−	PROPN
ejpam-3416	48	3	u2(t))y(t)−	u2(t))y(t)−	PROPN
ejpam-3416	48	4	pv(t	pv(t	PROPN
ejpam-3416	48	5	)	)	PUNCT
ejpam-3416	48	6	,	,	PUNCT
ejpam-3416	48	7	dw(t	dw(t	PUNCT
ejpam-3416	48	8	)	)	PUNCT
ejpam-3416	48	9	dt	dt	PUNCT
ejpam-3416	49	1	=	=	SYM
ejpam-3416	49	2	cz(t)−	cz(t)−	PROPN
ejpam-3416	49	3	qw(t	qw(t	NOUN
ejpam-3416	49	4	)	)	PUNCT
ejpam-3416	49	5	,	,	PUNCT
ejpam-3416	49	6	with	with	ADP
ejpam-3416	49	7	initial	initial	ADJ
ejpam-3416	49	8	conditions	condition	NOUN
ejpam-3416	49	9	x(0	x(0	PRON
ejpam-3416	49	10	)	)	PUNCT
ejpam-3416	50	1	=	=	PUNCT
ejpam-3416	50	2	x0	x0	PROPN
ejpam-3416	50	3	,	,	PUNCT
ejpam-3416	50	4	y(0	y(0	PROPN
ejpam-3416	50	5	)	)	PUNCT
ejpam-3416	50	6	=	=	SYM
ejpam-3416	50	7	y0	y0	NOUN
ejpam-3416	50	8	,	,	PUNCT
ejpam-3416	50	9	z(0	z(0	X
ejpam-3416	50	10	)	)	PUNCT
ejpam-3416	50	11	=	=	SYM
ejpam-3416	50	12	z0	z0	PROPN
ejpam-3416	50	13	,	,	PUNCT
ejpam-3416	50	14	v(0	v(0	PROPN
ejpam-3416	50	15	)	)	PUNCT
ejpam-3416	50	16	=	=	SYM
ejpam-3416	50	17	v0	v0	PROPN
ejpam-3416	50	18	,	,	PUNCT
ejpam-3416	50	19	w(0	w(0	PROPN
ejpam-3416	50	20	)	)	PUNCT
ejpam-3416	50	21	=	=	SYM
ejpam-3416	50	22	w0	w0	PROPN
ejpam-3416	50	23	.	.	PUNCT
ejpam-3416	51	1	(	(	PUNCT
ejpam-3416	51	2	2	2	X
ejpam-3416	51	3	)	)	PUNCT
ejpam-3416	51	4	here	here	ADV
ejpam-3416	51	5	,	,	PUNCT
ejpam-3416	51	6	x(t	x(t	PROPN
ejpam-3416	51	7	)	)	PUNCT
ejpam-3416	51	8	,	,	PUNCT
ejpam-3416	51	9	y(t	y(t	PROPN
ejpam-3416	51	10	)	)	PUNCT
ejpam-3416	51	11	,	,	PUNCT
ejpam-3416	51	12	v(t	v(t	NOUN
ejpam-3416	51	13	)	)	PUNCT
ejpam-3416	51	14	,	,	PUNCT
ejpam-3416	51	15	z(t	z(t	NOUN
ejpam-3416	51	16	)	)	PUNCT
ejpam-3416	51	17	and	and	CCONJ
ejpam-3416	51	18	w(t	w(t	PROPN
ejpam-3416	51	19	)	)	PUNCT
ejpam-3416	51	20	denote	denote	VERB
ejpam-3416	51	21	the	the	DET
ejpam-3416	51	22	densities	density	NOUN
ejpam-3416	51	23	of	of	ADP
ejpam-3416	51	24	uninfected	uninfected	ADJ
ejpam-3416	51	25	target	target	NOUN
ejpam-3416	51	26	cells	cell	NOUN
ejpam-3416	51	27	,	,	PUNCT
ejpam-3416	51	28	infected	infected	ADJ
ejpam-3416	51	29	cells	cell	NOUN
ejpam-3416	51	30	,	,	PUNCT
ejpam-3416	51	31	free	free	ADJ
ejpam-3416	51	32	virus	virus	NOUN
ejpam-3416	51	33	,	,	PUNCT
ejpam-3416	51	34	double	double	ADJ
ejpam-3416	51	35	infected	infect	VERB
ejpam-3416	51	36	cells	cell	NOUN
ejpam-3416	51	37	and	and	CCONJ
ejpam-3416	51	38	recombinant	recombinant	ADJ
ejpam-3416	51	39	viruses	virus	NOUN
ejpam-3416	51	40	at	at	ADP
ejpam-3416	51	41	time	time	NOUN
ejpam-3416	51	42	t	t	PROPN
ejpam-3416	51	43	,	,	PUNCT
ejpam-3416	51	44	respectively	respectively	ADV
ejpam-3416	51	45	.	.	PUNCT
ejpam-3416	52	1	the	the	DET
ejpam-3416	52	2	transitions	transition	NOUN
ejpam-3416	52	3	between	between	ADP
ejpam-3416	52	4	different	different	ADJ
ejpam-3416	52	5	states	state	NOUN
ejpam-3416	52	6	are	be	AUX
ejpam-3416	52	7	described	describe	VERB
ejpam-3416	52	8	by	by	ADP
ejpam-3416	52	9	the	the	DET
ejpam-3416	52	10	following	follow	VERB
ejpam-3416	52	11	parameters	parameter	NOUN
ejpam-3416	52	12	.	.	PUNCT
ejpam-3416	53	1	(	(	PUNCT
ejpam-3416	53	2	i	i	NOUN
ejpam-3416	53	3	)	)	PUNCT
ejpam-3416	53	4	λ	λ	PROPN
ejpam-3416	53	5	is	be	AUX
ejpam-3416	53	6	the	the	DET
ejpam-3416	53	7	recruitment	recruitment	NOUN
ejpam-3416	53	8	rate	rate	NOUN
ejpam-3416	53	9	of	of	ADP
ejpam-3416	53	10	uninfected	uninfected	ADJ
ejpam-3416	53	11	cells	cell	NOUN
ejpam-3416	53	12	.	.	PUNCT
ejpam-3416	54	1	n.ali	n.ali	PROPN
ejpam-3416	54	2	,	,	PUNCT
ejpam-3416	54	3	m.i	m.i	PROPN
ejpam-3416	54	4	.	.	PROPN
ejpam-3416	54	5	chohan	chohan	PROPN
ejpam-3416	54	6	,	,	PUNCT
ejpam-3416	54	7	g.	g.	PROPN
ejpam-3416	54	8	zaman	zaman	PROPN
ejpam-3416	54	9	/	/	SYM
ejpam-3416	54	10	eur	eur	PROPN
ejpam-3416	54	11	.	.	PUNCT
ejpam-3416	55	1	j.	j.	PROPN
ejpam-3416	55	2	pure	pure	PROPN
ejpam-3416	55	3	appl	appl	PROPN
ejpam-3416	55	4	.	.	PROPN
ejpam-3416	55	5	math	math	PROPN
ejpam-3416	55	6	,	,	PUNCT
ejpam-3416	55	7	12	12	NUM
ejpam-3416	55	8	(	(	PUNCT
ejpam-3416	55	9	2	2	NUM
ejpam-3416	55	10	)	)	PUNCT
ejpam-3416	55	11	(	(	PUNCT
ejpam-3416	55	12	2019	2019	NUM
ejpam-3416	55	13	)	)	PUNCT
ejpam-3416	55	14	,	,	PUNCT
ejpam-3416	55	15	506	506	NUM
ejpam-3416	55	16	-	-	SYM
ejpam-3416	55	17	518	518	NUM
ejpam-3416	55	18	508	508	NUM
ejpam-3416	55	19	(	(	PUNCT
ejpam-3416	55	20	ii	ii	NOUN
ejpam-3416	55	21	)	)	PUNCT
ejpam-3416	55	22	β	β	PROPN
ejpam-3416	55	23	is	be	AUX
ejpam-3416	55	24	an	an	DET
ejpam-3416	55	25	effective	effective	ADJ
ejpam-3416	55	26	contact	contact	NOUN
ejpam-3416	55	27	rate	rate	NOUN
ejpam-3416	55	28	.	.	PUNCT
ejpam-3416	56	1	(	(	PUNCT
ejpam-3416	56	2	iii	iii	X
ejpam-3416	56	3	)	)	PUNCT
ejpam-3416	56	4	d	d	NOUN
ejpam-3416	56	5	is	be	AUX
ejpam-3416	56	6	the	the	DET
ejpam-3416	56	7	natural	natural	ADJ
ejpam-3416	56	8	mortality	mortality	NOUN
ejpam-3416	56	9	rate	rate	NOUN
ejpam-3416	56	10	.	.	PUNCT
ejpam-3416	57	1	(	(	PUNCT
ejpam-3416	57	2	iv	iv	X
ejpam-3416	57	3	)	)	PUNCT
ejpam-3416	57	4	a	a	DET
ejpam-3416	57	5	stands	stand	NOUN
ejpam-3416	57	6	for	for	ADP
ejpam-3416	57	7	death	death	NOUN
ejpam-3416	57	8	rate	rate	NOUN
ejpam-3416	57	9	of	of	ADP
ejpam-3416	57	10	infected	infected	ADJ
ejpam-3416	57	11	cells	cell	NOUN
ejpam-3416	57	12	.	.	PUNCT
ejpam-3416	58	1	(	(	PUNCT
ejpam-3416	58	2	v	v	X
ejpam-3416	58	3	)	)	PUNCT
ejpam-3416	58	4	k	k	X
ejpam-3416	58	5	is	be	AUX
ejpam-3416	58	6	the	the	DET
ejpam-3416	58	7	rate	rate	NOUN
ejpam-3416	58	8	of	of	ADP
ejpam-3416	58	9	virus	virus	NOUN
ejpam-3416	58	10	production	production	NOUN
ejpam-3416	58	11	.	.	PUNCT
ejpam-3416	59	1	(	(	PUNCT
ejpam-3416	59	2	vi	vi	NOUN
ejpam-3416	59	3	)	)	PUNCT
ejpam-3416	59	4	α	α	NOUN
ejpam-3416	59	5	is	be	AUX
ejpam-3416	59	6	the	the	DET
ejpam-3416	59	7	infection	infection	NOUN
ejpam-3416	59	8	rate	rate	NOUN
ejpam-3416	59	9	of	of	ADP
ejpam-3416	59	10	pathogen	pathogen	NOUN
ejpam-3416	59	11	infected	infected	ADJ
ejpam-3416	59	12	cells	cell	NOUN
ejpam-3416	59	13	.	.	PUNCT
ejpam-3416	60	1	(	(	PUNCT
ejpam-3416	60	2	vii	vii	PROPN
ejpam-3416	60	3	)	)	PUNCT
ejpam-3416	60	4	p	p	NOUN
ejpam-3416	60	5	is	be	AUX
ejpam-3416	60	6	the	the	DET
ejpam-3416	60	7	death	death	NOUN
ejpam-3416	60	8	rate	rate	NOUN
ejpam-3416	60	9	of	of	ADP
ejpam-3416	60	10	pathogen	pathogen	NOUN
ejpam-3416	60	11	virus	virus	NOUN
ejpam-3416	60	12	.	.	PUNCT
ejpam-3416	61	1	(	(	PUNCT
ejpam-3416	61	2	viii	viii	NOUN
ejpam-3416	61	3	)	)	PUNCT
ejpam-3416	61	4	q	q	PUNCT
ejpam-3416	61	5	is	be	AUX
ejpam-3416	61	6	the	the	DET
ejpam-3416	61	7	death	death	NOUN
ejpam-3416	61	8	rate	rate	NOUN
ejpam-3416	61	9	of	of	ADP
ejpam-3416	61	10	recombinant	recombinant	ADJ
ejpam-3416	61	11	virus	virus	NOUN
ejpam-3416	61	12	.	.	PUNCT
ejpam-3416	62	1	(	(	PUNCT
ejpam-3416	62	2	ix	ix	ADP
ejpam-3416	62	3	)	)	PUNCT
ejpam-3416	62	4	c	c	PROPN
ejpam-3416	62	5	is	be	AUX
ejpam-3416	62	6	the	the	DET
ejpam-3416	62	7	rate	rate	NOUN
ejpam-3416	62	8	of	of	ADP
ejpam-3416	62	9	production	production	NOUN
ejpam-3416	62	10	of	of	ADP
ejpam-3416	62	11	double	double	ADJ
ejpam-3416	62	12	infected	infected	ADJ
ejpam-3416	62	13	cells	cell	NOUN
ejpam-3416	62	14	.	.	PUNCT
ejpam-3416	63	1	(	(	PUNCT
ejpam-3416	63	2	x	x	X
ejpam-3416	63	3	)	)	PUNCT
ejpam-3416	63	4	τ	τ	PROPN
ejpam-3416	63	5	can	can	AUX
ejpam-3416	63	6	be	be	AUX
ejpam-3416	63	7	regarded	regard	VERB
ejpam-3416	63	8	as	as	ADP
ejpam-3416	63	9	the	the	DET
ejpam-3416	63	10	average	average	ADJ
ejpam-3416	63	11	time	time	NOUN
ejpam-3416	63	12	for	for	ADP
ejpam-3416	63	13	a	a	DET
ejpam-3416	63	14	viral	viral	ADJ
ejpam-3416	63	15	particle	particle	NOUN
ejpam-3416	63	16	to	to	PART
ejpam-3416	63	17	go	go	VERB
ejpam-3416	63	18	through	through	ADP
ejpam-3416	63	19	the	the	DET
ejpam-3416	63	20	eclipse	eclipse	NOUN
ejpam-3416	63	21	phase	phase	NOUN
ejpam-3416	63	22	(	(	PUNCT
ejpam-3416	63	23	or	or	CCONJ
ejpam-3416	63	24	average	average	ADJ
ejpam-3416	63	25	latent	latent	NOUN
ejpam-3416	63	26	period	period	NOUN
ejpam-3416	63	27	)	)	PUNCT
ejpam-3416	63	28	.	.	PUNCT
ejpam-3416	64	1	our	our	PRON
ejpam-3416	64	2	target	target	NOUN
ejpam-3416	64	3	is	be	AUX
ejpam-3416	64	4	to	to	PART
ejpam-3416	64	5	find	find	VERB
ejpam-3416	64	6	the	the	DET
ejpam-3416	64	7	control	control	NOUN
ejpam-3416	64	8	functions	function	NOUN
ejpam-3416	64	9	u1(t	u1(t	PRON
ejpam-3416	64	10	)	)	PUNCT
ejpam-3416	64	11	and	and	CCONJ
ejpam-3416	64	12	u2(t	u2(t	NOUN
ejpam-3416	64	13	)	)	PUNCT
ejpam-3416	64	14	to	to	PART
ejpam-3416	64	15	get	get	VERB
ejpam-3416	64	16	the	the	DET
ejpam-3416	64	17	following	following	ADJ
ejpam-3416	64	18	achievements	achievement	NOUN
ejpam-3416	64	19	.	.	PUNCT
ejpam-3416	65	1	(	(	PUNCT
ejpam-3416	65	2	i	i	NOUN
ejpam-3416	65	3	)	)	PUNCT
ejpam-3416	65	4	to	to	PART
ejpam-3416	65	5	maximize	maximize	VERB
ejpam-3416	65	6	the	the	DET
ejpam-3416	65	7	density	density	NOUN
ejpam-3416	65	8	of	of	ADP
ejpam-3416	65	9	uninfected	uninfected	ADJ
ejpam-3416	65	10	cells	cell	NOUN
ejpam-3416	65	11	and	and	CCONJ
ejpam-3416	65	12	recombinant	recombinant	ADJ
ejpam-3416	65	13	viruses	virus	NOUN
ejpam-3416	65	14	during	during	ADP
ejpam-3416	65	15	the	the	DET
ejpam-3416	65	16	time	time	NOUN
ejpam-3416	65	17	period	period	NOUN
ejpam-3416	65	18	[	[	X
ejpam-3416	65	19	0	0	NUM
ejpam-3416	65	20	,	,	PUNCT
ejpam-3416	65	21	t	t	X
ejpam-3416	65	22	]	]	PUNCT
ejpam-3416	65	23	.	.	PUNCT
ejpam-3416	66	1	(	(	PUNCT
ejpam-3416	66	2	ii	ii	NOUN
ejpam-3416	66	3	)	)	PUNCT
ejpam-3416	66	4	to	to	PART
ejpam-3416	66	5	minimize	minimize	VERB
ejpam-3416	66	6	the	the	DET
ejpam-3416	66	7	cost	cost	NOUN
ejpam-3416	66	8	of	of	ADP
ejpam-3416	66	9	treatment	treatment	NOUN
ejpam-3416	66	10	,	,	PUNCT
ejpam-3416	66	11	the	the	DET
ejpam-3416	66	12	density	density	NOUN
ejpam-3416	66	13	of	of	ADP
ejpam-3416	66	14	pathogen	pathogen	NOUN
ejpam-3416	66	15	virus	virus	NOUN
ejpam-3416	66	16	and	and	CCONJ
ejpam-3416	66	17	the	the	DET
ejpam-3416	66	18	density	density	NOUN
ejpam-3416	66	19	of	of	ADP
ejpam-3416	66	20	infected	infected	ADJ
ejpam-3416	66	21	cells	cell	NOUN
ejpam-3416	66	22	.	.	PUNCT
ejpam-3416	67	1	in	in	ADP
ejpam-3416	67	2	order	order	NOUN
ejpam-3416	67	3	to	to	PART
ejpam-3416	67	4	achieve	achieve	VERB
ejpam-3416	67	5	our	our	PRON
ejpam-3416	67	6	target	target	NOUN
ejpam-3416	67	7	,	,	PUNCT
ejpam-3416	67	8	we	we	PRON
ejpam-3416	67	9	construct	construct	VERB
ejpam-3416	67	10	the	the	DET
ejpam-3416	67	11	following	follow	VERB
ejpam-3416	67	12	objective	objective	ADJ
ejpam-3416	67	13	functional	functional	ADJ
ejpam-3416	67	14	:	:	PUNCT
ejpam-3416	67	15	j(u1(t	j(u1(t	PROPN
ejpam-3416	67	16	)	)	PUNCT
ejpam-3416	67	17	,	,	PUNCT
ejpam-3416	67	18	u2(t	u2(t	NOUN
ejpam-3416	67	19	)	)	PUNCT
ejpam-3416	67	20	)	)	PUNCT
ejpam-3416	68	1	=	=	SYM
ejpam-3416	69	1	∫	∫	PROPN
ejpam-3416	69	2	t	t	PROPN
ejpam-3416	69	3	0	0	NUM
ejpam-3416	69	4	(	(	PUNCT
ejpam-3416	69	5	ρ1x(t	ρ1x(t	PROPN
ejpam-3416	69	6	)	)	PUNCT
ejpam-3416	70	1	+	+	PUNCT
ejpam-3416	70	2	ρ2w(t)−	ρ2w(t)−	PROPN
ejpam-3416	70	3	1	1	NUM
ejpam-3416	70	4	2	2	NUM
ejpam-3416	70	5	(	(	PUNCT
ejpam-3416	70	6	ξ1u	ξ1u	PROPN
ejpam-3416	70	7	2	2	NUM
ejpam-3416	70	8	1(t	1(t	NUM
ejpam-3416	70	9	)	)	PUNCT
ejpam-3416	70	10	+	+	CCONJ
ejpam-3416	70	11	ξ2u	ξ2u	PROPN
ejpam-3416	70	12	2	2	NUM
ejpam-3416	70	13	2(t	2(t	NUM
ejpam-3416	70	14	)	)	PUNCT
ejpam-3416	70	15	)	)	PUNCT
ejpam-3416	70	16	)	)	PUNCT
ejpam-3416	71	1	dt	dt	X
ejpam-3416	71	2	,	,	PUNCT
ejpam-3416	71	3	(	(	PUNCT
ejpam-3416	71	4	3	3	X
ejpam-3416	71	5	)	)	PUNCT
ejpam-3416	71	6	where	where	SCONJ
ejpam-3416	71	7	ρ1	ρ1	NOUN
ejpam-3416	71	8	and	and	CCONJ
ejpam-3416	71	9	ρ2	ρ2	NOUN
ejpam-3416	71	10	are	be	AUX
ejpam-3416	71	11	weight	weight	NOUN
ejpam-3416	71	12	constants	constant	NOUN
ejpam-3416	71	13	which	which	PRON
ejpam-3416	71	14	balance	balance	VERB
ejpam-3416	71	15	the	the	DET
ejpam-3416	71	16	size	size	NOUN
ejpam-3416	71	17	of	of	ADP
ejpam-3416	71	18	the	the	DET
ejpam-3416	71	19	optimal	optimal	ADJ
ejpam-3416	71	20	conditions	condition	NOUN
ejpam-3416	71	21	and	and	CCONJ
ejpam-3416	71	22	the	the	DET
ejpam-3416	71	23	parameters	parameter	NOUN
ejpam-3416	71	24	ξ1	ξ1	VERB
ejpam-3416	71	25	≥	≥	NUM
ejpam-3416	71	26	0	0	NUM
ejpam-3416	71	27	and	and	CCONJ
ejpam-3416	71	28	ξ1	ξ1	PROPN
ejpam-3416	71	29	≥	≥	PRON
ejpam-3416	71	30	0	0	NUM
ejpam-3416	71	31	are	be	AUX
ejpam-3416	71	32	established	establish	VERB
ejpam-3416	71	33	on	on	ADP
ejpam-3416	71	34	the	the	DET
ejpam-3416	71	35	benefits	benefit	NOUN
ejpam-3416	71	36	and	and	CCONJ
ejpam-3416	71	37	costs	cost	NOUN
ejpam-3416	71	38	of	of	ADP
ejpam-3416	71	39	the	the	DET
ejpam-3416	71	40	treatment	treatment	NOUN
ejpam-3416	71	41	.	.	PUNCT
ejpam-3416	72	1	these	these	DET
ejpam-3416	72	2	parameters	parameter	NOUN
ejpam-3416	72	3	equalize	equalize	VERB
ejpam-3416	72	4	the	the	DET
ejpam-3416	72	5	size	size	NOUN
ejpam-3416	72	6	of	of	ADP
ejpam-3416	72	7	the	the	DET
ejpam-3416	72	8	terms	term	NOUN
ejpam-3416	72	9	u1(t	u1(t	ADP
ejpam-3416	72	10	)	)	PUNCT
ejpam-3416	72	11	and	and	CCONJ
ejpam-3416	72	12	u2(t	u2(t	NOUN
ejpam-3416	72	13	)	)	PUNCT
ejpam-3416	72	14	which	which	PRON
ejpam-3416	72	15	reflect	reflect	VERB
ejpam-3416	72	16	the	the	DET
ejpam-3416	72	17	severeness	severeness	NOUN
ejpam-3416	72	18	of	of	ADP
ejpam-3416	72	19	the	the	DET
ejpam-3416	72	20	side	side	NOUN
ejpam-3416	72	21	effects	effect	NOUN
ejpam-3416	72	22	of	of	ADP
ejpam-3416	72	23	the	the	DET
ejpam-3416	72	24	drugs	drug	NOUN
ejpam-3416	72	25	.	.	PUNCT
ejpam-3416	73	1	to	to	PART
ejpam-3416	73	2	find	find	VERB
ejpam-3416	73	3	the	the	DET
ejpam-3416	73	4	basic	basic	ADJ
ejpam-3416	73	5	reproductive	reproductive	ADJ
ejpam-3416	73	6	number	number	NOUN
ejpam-3416	73	7	,	,	PUNCT
ejpam-3416	73	8	we	we	PRON
ejpam-3416	73	9	follow	follow	VERB
ejpam-3416	73	10	the	the	DET
ejpam-3416	73	11	techniques	technique	NOUN
ejpam-3416	73	12	presented	present	VERB
ejpam-3416	73	13	in	in	ADP
ejpam-3416	73	14	[	[	X
ejpam-3416	73	15	1–3	1–3	NOUN
ejpam-3416	73	16	]	]	X
ejpam-3416	73	17	for	for	ADP
ejpam-3416	73	18	the	the	DET
ejpam-3416	73	19	control	control	NOUN
ejpam-3416	73	20	problem	problem	NOUN
ejpam-3416	73	21	is	be	AUX
ejpam-3416	73	22	given	give	VERB
ejpam-3416	73	23	by	by	ADP
ejpam-3416	73	24	r0(t	r0(t	NOUN
ejpam-3416	73	25	)	)	PUNCT
ejpam-3416	73	26	=	=	SYM
ejpam-3416	73	27	kβλe−aτ	kβλe−aτ	NOUN
ejpam-3416	73	28	(	(	PUNCT
ejpam-3416	73	29	1−	1−	NUM
ejpam-3416	73	30	u1(t))(1−	u1(t))(1−	PROPN
ejpam-3416	73	31	u2(t	u2(t	NOUN
ejpam-3416	73	32	)	)	PUNCT
ejpam-3416	73	33	)	)	PUNCT
ejpam-3416	73	34	adp	adp	PROPN
ejpam-3416	73	35	.	.	PUNCT
ejpam-3416	74	1	clearly	clearly	ADV
ejpam-3416	74	2	,	,	PUNCT
ejpam-3416	74	3	the	the	DET
ejpam-3416	74	4	value	value	NOUN
ejpam-3416	74	5	of	of	ADP
ejpam-3416	74	6	r0	r0	NOUN
ejpam-3416	74	7	s	s	VERB
ejpam-3416	74	8	decreased	decrease	VERB
ejpam-3416	74	9	by	by	ADP
ejpam-3416	74	10	increasing	increase	VERB
ejpam-3416	74	11	the	the	DET
ejpam-3416	74	12	values	value	NOUN
ejpam-3416	74	13	of	of	ADP
ejpam-3416	74	14	u1(t	u1(t	NOUN
ejpam-3416	74	15	)	)	PUNCT
ejpam-3416	74	16	and	and	CCONJ
ejpam-3416	74	17	u2(t	u2(t	NOUN
ejpam-3416	74	18	)	)	PUNCT
ejpam-3416	74	19	.	.	PUNCT
ejpam-3416	75	1	but	but	CCONJ
ejpam-3416	75	2	the	the	DET
ejpam-3416	75	3	infection	infection	NOUN
ejpam-3416	75	4	starts	start	VERB
ejpam-3416	75	5	if	if	SCONJ
ejpam-3416	75	6	r0	r0	NOUN
ejpam-3416	75	7	>	>	X
ejpam-3416	75	8	1	1	X
ejpam-3416	75	9	.	.	PUNCT
ejpam-3416	76	1	for	for	ADP
ejpam-3416	76	2	the	the	DET
ejpam-3416	76	3	system	system	NOUN
ejpam-3416	76	4	(	(	PUNCT
ejpam-3416	76	5	1	1	NUM
ejpam-3416	76	6	)	)	PUNCT
ejpam-3416	76	7	,	,	PUNCT
ejpam-3416	76	8	with	with	ADP
ejpam-3416	76	9	time	time	NOUN
ejpam-3416	76	10	delays	delay	NOUN
ejpam-3416	76	11	τ	τ	PROPN
ejpam-3416	76	12	=	=	SYM
ejpam-3416	76	13	0	0	PROPN
ejpam-3416	76	14	,	,	PUNCT
ejpam-3416	76	15	the	the	DET
ejpam-3416	76	16	disease	disease	NOUN
ejpam-3416	76	17	-	-	PUNCT
ejpam-3416	76	18	free	free	ADJ
ejpam-3416	76	19	equilibrium	equilibrium	NOUN
ejpam-3416	76	20	always	always	ADV
ejpam-3416	76	21	exists	exist	VERB
ejpam-3416	76	22	.	.	PUNCT
ejpam-3416	77	1	e0	e0	PROPN
ejpam-3416	77	2	=	=	PUNCT
ejpam-3416	77	3	(	(	PUNCT
ejpam-3416	77	4	λ	λ	X
ejpam-3416	77	5	d	d	PROPN
ejpam-3416	77	6	,	,	PUNCT
ejpam-3416	77	7	0	0	NUM
ejpam-3416	77	8	,	,	PUNCT
ejpam-3416	77	9	0	0	NUM
ejpam-3416	77	10	,	,	PUNCT
ejpam-3416	77	11	0	0	NUM
ejpam-3416	77	12	,	,	PUNCT
ejpam-3416	77	13	0	0	NUM
ejpam-3416	77	14	)	)	PUNCT
ejpam-3416	77	15	.	.	PUNCT
ejpam-3416	78	1	n.ali	n.ali	PROPN
ejpam-3416	78	2	,	,	PUNCT
ejpam-3416	78	3	m.i	m.i	PROPN
ejpam-3416	78	4	.	.	PROPN
ejpam-3416	78	5	chohan	chohan	PROPN
ejpam-3416	78	6	,	,	PUNCT
ejpam-3416	78	7	g.	g.	PROPN
ejpam-3416	78	8	zaman	zaman	PROPN
ejpam-3416	78	9	/	/	SYM
ejpam-3416	78	10	eur	eur	PROPN
ejpam-3416	78	11	.	.	PUNCT
ejpam-3416	79	1	j.	j.	PROPN
ejpam-3416	79	2	pure	pure	PROPN
ejpam-3416	79	3	appl	appl	PROPN
ejpam-3416	79	4	.	.	PROPN
ejpam-3416	79	5	math	math	PROPN
ejpam-3416	79	6	,	,	PUNCT
ejpam-3416	79	7	12	12	NUM
ejpam-3416	79	8	(	(	PUNCT
ejpam-3416	79	9	2	2	NUM
ejpam-3416	79	10	)	)	PUNCT
ejpam-3416	79	11	(	(	PUNCT
ejpam-3416	79	12	2019	2019	NUM
ejpam-3416	79	13	)	)	PUNCT
ejpam-3416	79	14	,	,	PUNCT
ejpam-3416	79	15	506	506	NUM
ejpam-3416	79	16	-	-	SYM
ejpam-3416	79	17	518	518	NUM
ejpam-3416	79	18	509	509	NUM
ejpam-3416	79	19	if	if	SCONJ
ejpam-3416	79	20	r0	r0	VERB
ejpam-3416	79	21	≤	≤	NOUN
ejpam-3416	79	22	1	1	NUM
ejpam-3416	79	23	or	or	CCONJ
ejpam-3416	79	24	(	(	PUNCT
ejpam-3416	79	25	1−u1(t))(1−u2(t	1−u1(t))(1−u2(t	NOUN
ejpam-3416	79	26	)	)	PUNCT
ejpam-3416	79	27	)	)	PUNCT
ejpam-3416	80	1	≤	≤	NOUN
ejpam-3416	80	2	apd	apd	PROPN
ejpam-3416	80	3	kβλ	kβλ	PROPN
ejpam-3416	80	4	,	,	PUNCT
ejpam-3416	80	5	then	then	ADV
ejpam-3416	80	6	the	the	DET
ejpam-3416	80	7	infection	infection	NOUN
ejpam-3416	80	8	would	would	AUX
ejpam-3416	80	9	die	die	VERB
ejpam-3416	80	10	out	out	ADP
ejpam-3416	80	11	.	.	PUNCT
ejpam-3416	81	1	if	if	SCONJ
ejpam-3416	81	2	r0	r0	NOUN
ejpam-3416	81	3	>	>	X
ejpam-3416	81	4	1	1	NUM
ejpam-3416	81	5	or	or	CCONJ
ejpam-3416	81	6	(	(	PUNCT
ejpam-3416	81	7	1−	1−	NUM
ejpam-3416	81	8	u1(t))(1−u2(t	u1(t))(1−u2(t	NOUN
ejpam-3416	81	9	)	)	PUNCT
ejpam-3416	81	10	)	)	PUNCT
ejpam-3416	81	11	≥	≥	PROPN
ejpam-3416	81	12	apd	apd	PROPN
ejpam-3416	81	13	kβλ	kβλ	PROPN
ejpam-3416	81	14	,	,	PUNCT
ejpam-3416	81	15	then	then	ADV
ejpam-3416	81	16	there	there	PRON
ejpam-3416	81	17	exists	exist	VERB
ejpam-3416	81	18	pathogen	pathogen	VERB
ejpam-3416	81	19	present	present	ADJ
ejpam-3416	81	20	equilibrium	equilibrium	NOUN
ejpam-3416	81	21	ep(x1	ep(x1	PROPN
ejpam-3416	81	22	,	,	PUNCT
ejpam-3416	81	23	y1	y1	NOUN
ejpam-3416	81	24	,	,	PUNCT
ejpam-3416	81	25	z1	z1	NOUN
ejpam-3416	81	26	,	,	PUNCT
ejpam-3416	81	27	v1	v1	NOUN
ejpam-3416	81	28	,	,	PUNCT
ejpam-3416	81	29	w1	w1	NOUN
ejpam-3416	81	30	)	)	PUNCT
ejpam-3416	81	31	where	where	SCONJ
ejpam-3416	81	32	,	,	PUNCT
ejpam-3416	81	33	x1	x1	PROPN
ejpam-3416	81	34	=	=	SYM
ejpam-3416	81	35	ap	ap	PROPN
ejpam-3416	81	36	(	(	PUNCT
ejpam-3416	81	37	1−	1−	NUM
ejpam-3416	81	38	u1(t))(1−	u1(t))(1−	PROPN
ejpam-3416	81	39	u2(t))βke−aτ	u2(t))βke−aτ	NOUN
ejpam-3416	81	40	,	,	PUNCT
ejpam-3416	81	41	y1	y1	NOUN
ejpam-3416	81	42	=	=	PUNCT
ejpam-3416	81	43	λkβe−aτ	λkβe−aτ	NOUN
ejpam-3416	81	44	(	(	PUNCT
ejpam-3416	81	45	1−	1−	NUM
ejpam-3416	81	46	u1(t))(1−	u1(t))(1−	PROPN
ejpam-3416	81	47	u2(t))−	u2(t))−	PROPN
ejpam-3416	81	48	adp	adp	PROPN
ejpam-3416	81	49	kaβe−aτ	kaβe−aτ	NOUN
ejpam-3416	81	50	(	(	PUNCT
ejpam-3416	81	51	1−	1−	NUM
ejpam-3416	81	52	u1(t))(1−	u1(t))(1−	PROPN
ejpam-3416	81	53	u2(t	u2(t	NOUN
ejpam-3416	81	54	)	)	PUNCT
ejpam-3416	81	55	)	)	PUNCT
ejpam-3416	81	56	,	,	PUNCT
ejpam-3416	81	57	z1	z1	PROPN
ejpam-3416	81	58	=	=	SYM
ejpam-3416	81	59	0	0	NUM
ejpam-3416	81	60	,	,	PUNCT
ejpam-3416	81	61	v1	v1	NOUN
ejpam-3416	81	62	=	=	SYM
ejpam-3416	81	63	λkβe−aτ	λkβe−aτ	NOUN
ejpam-3416	81	64	(	(	PUNCT
ejpam-3416	81	65	1−	1−	NUM
ejpam-3416	81	66	u1(t))(1−	u1(t))(1−	PROPN
ejpam-3416	81	67	u2(t))−	u2(t))−	PROPN
ejpam-3416	81	68	adp	adp	PROPN
ejpam-3416	81	69	(	(	PUNCT
ejpam-3416	81	70	1−	1−	NUM
ejpam-3416	81	71	u1(t))paβe−aτ	u1(t))paβe−aτ	PROPN
ejpam-3416	81	72	,	,	PUNCT
ejpam-3416	81	73	w1	w1	NOUN
ejpam-3416	81	74	=	=	SYM
ejpam-3416	81	75	0	0	NUM
ejpam-3416	81	76	.	.	PUNCT
ejpam-3416	82	1	the	the	DET
ejpam-3416	82	2	recombinant	recombinant	ADJ
ejpam-3416	82	3	present	present	ADJ
ejpam-3416	82	4	equilibrium	equilibrium	NOUN
ejpam-3416	82	5	er(x2	er(x2	NOUN
ejpam-3416	82	6	,	,	PUNCT
ejpam-3416	82	7	y2	y2	PROPN
ejpam-3416	82	8	,	,	PUNCT
ejpam-3416	82	9	z2	z2	PROPN
ejpam-3416	82	10	,	,	PUNCT
ejpam-3416	82	11	v2	v2	PROPN
ejpam-3416	82	12	,	,	PUNCT
ejpam-3416	82	13	w2	w2	NOUN
ejpam-3416	82	14	)	)	PUNCT
ejpam-3416	82	15	is	be	AUX
ejpam-3416	82	16	given	give	VERB
ejpam-3416	82	17	by	by	ADP
ejpam-3416	82	18	x2	x2	PROPN
ejpam-3416	82	19	=	=	SYM
ejpam-3416	82	20	(	(	PUNCT
ejpam-3416	82	21	αλc+	αλc+	PROPN
ejpam-3416	82	22	γbq)p	γbq)p	PRON
ejpam-3416	82	23	αcdp+	αcdp+	NOUN
ejpam-3416	82	24	βkqbe−aτ	βkqbe−aτ	ADP
ejpam-3416	82	25	(	(	PUNCT
ejpam-3416	82	26	1−	1−	NUM
ejpam-3416	82	27	u1(t))(1−	u1(t))(1−	PROPN
ejpam-3416	82	28	u2(t	u2(t	NOUN
ejpam-3416	82	29	)	)	PUNCT
ejpam-3416	82	30	)	)	PUNCT
ejpam-3416	82	31	,	,	PUNCT
ejpam-3416	83	1	y2	y2	NOUN
ejpam-3416	83	2	=	=	SYM
ejpam-3416	84	1	bq	bq	PROPN
ejpam-3416	84	2	αc	αc	ADJ
ejpam-3416	84	3	,	,	PUNCT
ejpam-3416	84	4	z2	z2	PROPN
ejpam-3416	84	5	=	=	SYM
ejpam-3416	84	6	q	q	PROPN
ejpam-3416	84	7	αc	αc	ADJ
ejpam-3416	84	8	(	(	PUNCT
ejpam-3416	84	9	(	(	PUNCT
ejpam-3416	84	10	1−	1−	NUM
ejpam-3416	84	11	u1(t))(1−	u1(t))(1−	PROPN
ejpam-3416	84	12	u2(t))ckλαβe	u2(t))ckλαβe	PROPN
ejpam-3416	84	13	−a(τ	−a(τ	NOUN
ejpam-3416	84	14	)	)	PUNCT
ejpam-3416	84	15	−	−	NOUN
ejpam-3416	84	16	aαcdp−	aαcdp−	NOUN
ejpam-3416	84	17	(	(	PUNCT
ejpam-3416	84	18	1−	1−	NUM
ejpam-3416	84	19	u1(t))(1−	u1(t))(1−	PROPN
ejpam-3416	84	20	u2(t))abqkβe	u2(t))abqkβe	PROPN
ejpam-3416	84	21	−aτ	−aτ	NOUN
ejpam-3416	84	22	αcdp+	αcdp+	X
ejpam-3416	84	23	bkqβe−aτ	bkqβe−aτ	NOUN
ejpam-3416	84	24	)	)	PUNCT
ejpam-3416	84	25	,	,	PUNCT
ejpam-3416	84	26	v2	v2	PROPN
ejpam-3416	84	27	=	=	SYM
ejpam-3416	84	28	kqb	kqb	NOUN
ejpam-3416	84	29	αcp	αcp	NOUN
ejpam-3416	84	30	,	,	PUNCT
ejpam-3416	84	31	w2	w2	NOUN
ejpam-3416	84	32	=	=	SYM
ejpam-3416	84	33	αckβλe−a(τ	αckβλe−a(τ	PROPN
ejpam-3416	84	34	)	)	PUNCT
ejpam-3416	84	35	−	−	PROPN
ejpam-3416	85	1	aαcdp(1−	aαcdp(1−	PROPN
ejpam-3416	85	2	u1(t))(1−	u1(t))(1−	PROPN
ejpam-3416	85	3	u2(t))−	u2(t))−	NUM
ejpam-3416	85	4	(	(	PUNCT
ejpam-3416	85	5	1−	1−	NUM
ejpam-3416	85	6	u1(t))(1−	u1(t))(1−	PROPN
ejpam-3416	85	7	u2(t))abqkβe	u2(t))abqkβe	PROPN
ejpam-3416	85	8	−aτ	−aτ	NOUN
ejpam-3416	85	9	α(αcdp+	α(αcdp+	NOUN
ejpam-3416	85	10	(	(	PUNCT
ejpam-3416	85	11	1−	1−	NUM
ejpam-3416	85	12	u1(t))(1−	u1(t))(1−	PROPN
ejpam-3416	85	13	u2(t))bkqβe−aτ	u2(t))bkqβe−aτ	NOUN
ejpam-3416	85	14	)	)	PUNCT
ejpam-3416	85	15	.	.	PUNCT
ejpam-3416	86	1	we	we	PRON
ejpam-3416	86	2	find	find	VERB
ejpam-3416	86	3	optimal	optimal	ADJ
ejpam-3416	86	4	control	control	NOUN
ejpam-3416	86	5	functions	function	NOUN
ejpam-3416	86	6	u⋆1(t	u⋆1(t	ADJ
ejpam-3416	86	7	)	)	PUNCT
ejpam-3416	86	8	and	and	CCONJ
ejpam-3416	86	9	u⋆2(t	u⋆2(t	ADJ
ejpam-3416	86	10	)	)	PUNCT
ejpam-3416	86	11	such	such	ADJ
ejpam-3416	86	12	that	that	SCONJ
ejpam-3416	86	13	j(u⋆1(t	j(u⋆1(t	PROPN
ejpam-3416	86	14	)	)	PUNCT
ejpam-3416	86	15	,	,	PUNCT
ejpam-3416	86	16	u	u	NOUN
ejpam-3416	86	17	⋆	⋆	VERB
ejpam-3416	86	18	2(t	2(t	NUM
ejpam-3416	86	19	)	)	PUNCT
ejpam-3416	86	20	)	)	PUNCT
ejpam-3416	87	1	=	=	SYM
ejpam-3416	87	2	max{j(u1(t	max{j(u1(t	PROPN
ejpam-3416	87	3	)	)	PUNCT
ejpam-3416	87	4	,	,	PUNCT
ejpam-3416	87	5	u2(t	u2(t	NOUN
ejpam-3416	87	6	)	)	PUNCT
ejpam-3416	87	7	)	)	PUNCT
ejpam-3416	87	8	\	\	PUNCT
ejpam-3416	88	1	(	(	PUNCT
ejpam-3416	88	2	u1(t	u1(t	PROPN
ejpam-3416	88	3	)	)	PUNCT
ejpam-3416	88	4	,	,	PUNCT
ejpam-3416	88	5	u2(t	u2(t	NOUN
ejpam-3416	88	6	)	)	PUNCT
ejpam-3416	88	7	)	)	PUNCT
ejpam-3416	89	1	∈	∈	PROPN
ejpam-3416	89	2	u	u	NOUN
ejpam-3416	89	3	}	}	PUNCT
ejpam-3416	89	4	,	,	PUNCT
ejpam-3416	89	5	(	(	PUNCT
ejpam-3416	89	6	4	4	X
ejpam-3416	89	7	)	)	PUNCT
ejpam-3416	89	8	where	where	SCONJ
ejpam-3416	89	9	u	u	NOUN
ejpam-3416	89	10	=	=	PRON
ejpam-3416	89	11	{	{	PUNCT
ejpam-3416	89	12	(	(	PUNCT
ejpam-3416	89	13	u1(t	u1(t	PROPN
ejpam-3416	89	14	)	)	PUNCT
ejpam-3416	89	15	,	,	PUNCT
ejpam-3416	89	16	u2(t	u2(t	NOUN
ejpam-3416	89	17	)	)	PUNCT
ejpam-3416	89	18	)	)	PUNCT
ejpam-3416	89	19	\	\	PROPN
ejpam-3416	89	20	ui	ui	PROPN
ejpam-3416	89	21	is	be	AUX
ejpam-3416	89	22	lebesgue	lebesgue	NOUN
ejpam-3416	89	23	measurable	measurable	ADJ
ejpam-3416	89	24	on	on	ADP
ejpam-3416	89	25	[	[	X
ejpam-3416	89	26	0	0	NUM
ejpam-3416	89	27	,	,	PUNCT
ejpam-3416	89	28	1	1	NUM
ejpam-3416	89	29	]	]	PUNCT
ejpam-3416	89	30	,	,	PUNCT
ejpam-3416	89	31	0	0	NUM
ejpam-3416	89	32	≤	≤	NUM
ejpam-3416	89	33	ui(t	ui(t	NOUN
ejpam-3416	89	34	)	)	PUNCT
ejpam-3416	89	35	≤	≤	NUM
ejpam-3416	89	36	1	1	NUM
ejpam-3416	89	37	,	,	PUNCT
ejpam-3416	89	38	i	i	PRON
ejpam-3416	89	39	=	=	NOUN
ejpam-3416	89	40	1	1	NUM
ejpam-3416	89	41	,	,	PUNCT
ejpam-3416	89	42	2	2	NUM
ejpam-3416	89	43	}	}	PUNCT
ejpam-3416	89	44	,	,	PUNCT
ejpam-3416	89	45	is	be	AUX
ejpam-3416	89	46	the	the	DET
ejpam-3416	89	47	control	control	NOUN
ejpam-3416	89	48	set	set	VERB
ejpam-3416	89	49	.	.	PUNCT
ejpam-3416	90	1	2	2	X
ejpam-3416	90	2	.	.	X
ejpam-3416	90	3	existence	existence	NOUN
ejpam-3416	90	4	of	of	ADP
ejpam-3416	90	5	control	control	NOUN
ejpam-3416	90	6	problem	problem	NOUN
ejpam-3416	90	7	in	in	ADP
ejpam-3416	90	8	this	this	DET
ejpam-3416	90	9	section	section	NOUN
ejpam-3416	90	10	,	,	PUNCT
ejpam-3416	90	11	we	we	PRON
ejpam-3416	90	12	show	show	VERB
ejpam-3416	90	13	the	the	DET
ejpam-3416	90	14	existence	existence	NOUN
ejpam-3416	90	15	of	of	ADP
ejpam-3416	90	16	the	the	DET
ejpam-3416	90	17	control	control	NOUN
ejpam-3416	90	18	problem	problem	NOUN
ejpam-3416	90	19	.	.	PUNCT
ejpam-3416	91	1	to	to	PART
ejpam-3416	91	2	do	do	VERB
ejpam-3416	91	3	this	this	PRON
ejpam-3416	91	4	,	,	PUNCT
ejpam-3416	91	5	first	first	ADV
ejpam-3416	91	6	we	we	PRON
ejpam-3416	91	7	find	find	VERB
ejpam-3416	91	8	the	the	DET
ejpam-3416	91	9	lagrangian	lagrangian	NOUN
ejpam-3416	91	10	of	of	ADP
ejpam-3416	91	11	the	the	DET
ejpam-3416	91	12	optimal	optimal	ADJ
ejpam-3416	91	13	control	control	NOUN
ejpam-3416	91	14	problem	problem	NOUN
ejpam-3416	91	15	.	.	PUNCT
ejpam-3416	92	1	l(t	l(t	PROPN
ejpam-3416	92	2	)	)	PUNCT
ejpam-3416	92	3	=	=	SYM
ejpam-3416	92	4	ρ1x(t	ρ1x(t	PROPN
ejpam-3416	92	5	)	)	PUNCT
ejpam-3416	93	1	+	+	PUNCT
ejpam-3416	93	2	ρ2w(t)−	ρ2w(t)−	PROPN
ejpam-3416	93	3	1	1	NUM
ejpam-3416	93	4	2	2	NUM
ejpam-3416	93	5	(	(	PUNCT
ejpam-3416	93	6	ξ1u	ξ1u	PROPN
ejpam-3416	93	7	2	2	NUM
ejpam-3416	93	8	1(t	1(t	NUM
ejpam-3416	93	9	)	)	PUNCT
ejpam-3416	93	10	+	+	CCONJ
ejpam-3416	93	11	ξ2u	ξ2u	PROPN
ejpam-3416	93	12	2	2	NUM
ejpam-3416	93	13	2(t	2(t	NUM
ejpam-3416	93	14	)	)	PUNCT
ejpam-3416	93	15	)	)	PUNCT
ejpam-3416	93	16	.	.	PUNCT
ejpam-3416	94	1	the	the	DET
ejpam-3416	94	2	corresponding	corresponding	ADJ
ejpam-3416	94	3	hamiltonian	hamiltonian	NOUN
ejpam-3416	94	4	can	can	AUX
ejpam-3416	94	5	be	be	AUX
ejpam-3416	94	6	defined	define	VERB
ejpam-3416	94	7	as	as	ADP
ejpam-3416	94	8	h	h	NOUN
ejpam-3416	94	9	(	(	PUNCT
ejpam-3416	94	10	x	x	X
ejpam-3416	94	11	,	,	PUNCT
ejpam-3416	94	12	y	y	PROPN
ejpam-3416	94	13	,	,	PUNCT
ejpam-3416	94	14	z	z	PROPN
ejpam-3416	94	15	,	,	PUNCT
ejpam-3416	94	16	v	v	NOUN
ejpam-3416	94	17	,	,	PUNCT
ejpam-3416	94	18	w	w	PROPN
ejpam-3416	94	19	,	,	PUNCT
ejpam-3416	94	20	xτ	xτ	PROPN
ejpam-3416	94	21	,	,	PUNCT
ejpam-3416	94	22	vτ	vτ	PROPN
ejpam-3416	94	23	,	,	PUNCT
ejpam-3416	94	24	u1	u1	NOUN
ejpam-3416	94	25	,	,	PUNCT
ejpam-3416	94	26	u2	u2	NOUN
ejpam-3416	94	27	,	,	PUNCT
ejpam-3416	94	28	λ(t	λ(t	NOUN
ejpam-3416	94	29	)	)	PUNCT
ejpam-3416	94	30	)	)	PUNCT
ejpam-3416	95	1	=	=	SYM
ejpam-3416	95	2	1	1	NUM
ejpam-3416	95	3	2	2	NUM
ejpam-3416	95	4	(	(	PUNCT
ejpam-3416	95	5	ξ1u	ξ1u	PROPN
ejpam-3416	95	6	2	2	NUM
ejpam-3416	95	7	1	1	NUM
ejpam-3416	95	8	+	+	CCONJ
ejpam-3416	95	9	ξ2u	ξ2u	PROPN
ejpam-3416	95	10	2	2	NUM
ejpam-3416	95	11	2	2	NUM
ejpam-3416	95	12	)	)	PUNCT
ejpam-3416	95	13	−	−	PROPN
ejpam-3416	95	14	ρ1x(t)−	ρ1x(t)−	PROPN
ejpam-3416	95	15	ρ2w(t	ρ2w(t	PROPN
ejpam-3416	95	16	)	)	PUNCT
ejpam-3416	95	17	n.ali	n.ali	PROPN
ejpam-3416	95	18	,	,	PUNCT
ejpam-3416	95	19	m.i	m.i	PROPN
ejpam-3416	95	20	.	.	PROPN
ejpam-3416	95	21	chohan	chohan	PROPN
ejpam-3416	95	22	,	,	PUNCT
ejpam-3416	95	23	g.	g.	PROPN
ejpam-3416	95	24	zaman	zaman	PROPN
ejpam-3416	95	25	/	/	SYM
ejpam-3416	95	26	eur	eur	PROPN
ejpam-3416	95	27	.	.	PUNCT
ejpam-3416	96	1	j.	j.	PROPN
ejpam-3416	96	2	pure	pure	PROPN
ejpam-3416	96	3	appl	appl	PROPN
ejpam-3416	96	4	.	.	PROPN
ejpam-3416	96	5	math	math	PROPN
ejpam-3416	96	6	,	,	PUNCT
ejpam-3416	96	7	12	12	NUM
ejpam-3416	96	8	(	(	PUNCT
ejpam-3416	96	9	2	2	NUM
ejpam-3416	96	10	)	)	PUNCT
ejpam-3416	96	11	(	(	PUNCT
ejpam-3416	96	12	2019	2019	NUM
ejpam-3416	96	13	)	)	PUNCT
ejpam-3416	96	14	,	,	PUNCT
ejpam-3416	96	15	506	506	NUM
ejpam-3416	96	16	-	-	SYM
ejpam-3416	96	17	518	518	NUM
ejpam-3416	96	18	510	510	NUM
ejpam-3416	96	19	+	+	NOUN
ejpam-3416	96	20	λ1(t	λ1(t	PROPN
ejpam-3416	96	21	)	)	PUNCT
ejpam-3416	96	22	(	(	PUNCT
ejpam-3416	96	23	λ−	λ−	PROPN
ejpam-3416	96	24	dx(t)−	dx(t)−	PROPN
ejpam-3416	96	25	(	(	PUNCT
ejpam-3416	96	26	1−	1−	NUM
ejpam-3416	96	27	u1(t))βx(t)v(t	u1(t))βx(t)v(t	NOUN
ejpam-3416	96	28	)	)	PUNCT
ejpam-3416	96	29	)	)	PUNCT
ejpam-3416	97	1	+	+	X
ejpam-3416	97	2	λ2(t	λ2(t	X
ejpam-3416	97	3	)	)	PUNCT
ejpam-3416	97	4	(	(	PUNCT
ejpam-3416	97	5	(	(	PUNCT
ejpam-3416	97	6	1−	1−	NUM
ejpam-3416	97	7	u1(t))βe	u1(t))βe	NOUN
ejpam-3416	97	8	−aτxτvτ	−aτxτvτ	PROPN
ejpam-3416	98	1	−	−	PROPN
ejpam-3416	98	2	ay(t)−	ay(t)−	PROPN
ejpam-3416	98	3	αw(t)y(t	αw(t)y(t	PROPN
ejpam-3416	98	4	)	)	PUNCT
ejpam-3416	98	5	)	)	PUNCT
ejpam-3416	99	1	+	+	X
ejpam-3416	99	2	λ3(t	λ3(t	NUM
ejpam-3416	99	3	)	)	PUNCT
ejpam-3416	99	4	(	(	PUNCT
ejpam-3416	99	5	αw(t)y(t)−	αw(t)y(t)−	PROPN
ejpam-3416	99	6	bz(t	bz(t	NOUN
ejpam-3416	99	7	)	)	PUNCT
ejpam-3416	99	8	)	)	PUNCT
ejpam-3416	100	1	+	+	PUNCT
ejpam-3416	100	2	λ4(t	λ4(t	X
ejpam-3416	100	3	)	)	PUNCT
ejpam-3416	100	4	(	(	PUNCT
ejpam-3416	100	5	k(1−	k(1−	PROPN
ejpam-3416	100	6	u2(t))y(t	u2(t))y(t	PROPN
ejpam-3416	100	7	)	)	PUNCT
ejpam-3416	100	8	−pv(t	−pv(t	NOUN
ejpam-3416	100	9	)	)	PUNCT
ejpam-3416	100	10	)	)	PUNCT
ejpam-3416	101	1	+	+	CCONJ
ejpam-3416	102	1	λ5(t	λ5(t	X
ejpam-3416	102	2	)	)	PUNCT
ejpam-3416	102	3	(	(	PUNCT
ejpam-3416	102	4	cz(t)−	cz(t)−	PROPN
ejpam-3416	102	5	qw(t	qw(t	NOUN
ejpam-3416	102	6	)	)	PUNCT
ejpam-3416	102	7	)	)	PUNCT
ejpam-3416	102	8	,	,	PUNCT
ejpam-3416	102	9	where	where	SCONJ
ejpam-3416	102	10	xτ	xτ	X
ejpam-3416	102	11	:	:	PUNCT
ejpam-3416	102	12	=	=	SYM
ejpam-3416	102	13	x(t−	x(t−	PROPN
ejpam-3416	102	14	τ	τ	PROPN
ejpam-3416	102	15	)	)	PUNCT
ejpam-3416	102	16	and	and	CCONJ
ejpam-3416	102	17	vτ	vτ	NOUN
ejpam-3416	102	18	:	:	PUNCT
ejpam-3416	102	19	=	=	SYM
ejpam-3416	102	20	v(t−	v(t−	PROPN
ejpam-3416	102	21	τ	τ	PROPN
ejpam-3416	102	22	)	)	PUNCT
ejpam-3416	102	23	.	.	PUNCT
ejpam-3416	103	1	this	this	DET
ejpam-3416	103	2	hamiltonian	hamiltonian	PROPN
ejpam-3416	103	3	determines	determine	VERB
ejpam-3416	103	4	the	the	DET
ejpam-3416	103	5	control	control	NOUN
ejpam-3416	103	6	functions	function	NOUN
ejpam-3416	103	7	for	for	ADP
ejpam-3416	103	8	the	the	DET
ejpam-3416	103	9	proposed	propose	VERB
ejpam-3416	103	10	optimal	optimal	ADJ
ejpam-3416	103	11	control	control	NOUN
ejpam-3416	103	12	problem	problem	NOUN
ejpam-3416	103	13	.	.	PUNCT
ejpam-3416	104	1	to	to	PART
ejpam-3416	104	2	show	show	VERB
ejpam-3416	104	3	the	the	DET
ejpam-3416	104	4	existence	existence	NOUN
ejpam-3416	104	5	of	of	ADP
ejpam-3416	104	6	optimal	optimal	ADJ
ejpam-3416	104	7	pair	pair	NOUN
ejpam-3416	104	8	,	,	PUNCT
ejpam-3416	104	9	we	we	PRON
ejpam-3416	104	10	use	use	VERB
ejpam-3416	104	11	the	the	DET
ejpam-3416	104	12	idea	idea	NOUN
ejpam-3416	104	13	of	of	ADP
ejpam-3416	104	14	fleming	fleming	NOUN
ejpam-3416	104	15	and	and	CCONJ
ejpam-3416	104	16	rishel	rishel	NOUN
ejpam-3416	104	17	in	in	ADP
ejpam-3416	104	18	[	[	X
ejpam-3416	104	19	?	?	PUNCT
ejpam-3416	104	20	]	]	PUNCT
ejpam-3416	104	21	.	.	PUNCT
ejpam-3416	105	1	theorem	theorem	VERB
ejpam-3416	105	2	3.1	3.1	NUM
ejpam-3416	105	3	:	:	PUNCT
ejpam-3416	105	4	for	for	ADP
ejpam-3416	105	5	the	the	DET
ejpam-3416	105	6	control	control	NOUN
ejpam-3416	105	7	problem	problem	NOUN
ejpam-3416	105	8	with	with	ADP
ejpam-3416	105	9	the	the	DET
ejpam-3416	105	10	model	model	NOUN
ejpam-3416	105	11	(	(	PUNCT
ejpam-3416	105	12	1	1	NUM
ejpam-3416	105	13	)	)	PUNCT
ejpam-3416	105	14	,	,	PUNCT
ejpam-3416	105	15	there	there	PRON
ejpam-3416	105	16	always	always	ADV
ejpam-3416	105	17	exists	exist	VERB
ejpam-3416	105	18	u⋆	u⋆	ADV
ejpam-3416	105	19	=	=	SYM
ejpam-3416	105	20	(	(	PUNCT
ejpam-3416	105	21	u⋆1	u⋆1	NOUN
ejpam-3416	105	22	,	,	PUNCT
ejpam-3416	105	23	u	u	NOUN
ejpam-3416	105	24	⋆	⋆	VERB
ejpam-3416	105	25	2	2	NUM
ejpam-3416	105	26	)	)	PUNCT
ejpam-3416	105	27	∈	∈	NOUN
ejpam-3416	105	28	u	u	NOUN
ejpam-3416	105	29	such	such	ADJ
ejpam-3416	105	30	that	that	DET
ejpam-3416	105	31	max	max	PROPN
ejpam-3416	105	32	(	(	PUNCT
ejpam-3416	105	33	u1(t),u2(t))∈u	u1(t),u2(t))∈u	PROPN
ejpam-3416	105	34	j(u1(t	j(u1(t	PROPN
ejpam-3416	105	35	)	)	PUNCT
ejpam-3416	105	36	,	,	PUNCT
ejpam-3416	105	37	u2(t	u2(t	NOUN
ejpam-3416	105	38	)	)	PUNCT
ejpam-3416	105	39	)	)	PUNCT
ejpam-3416	106	1	=	=	PUNCT
ejpam-3416	106	2	j(u⋆1(t	j(u⋆1(t	PROPN
ejpam-3416	106	3	)	)	PUNCT
ejpam-3416	106	4	,	,	PUNCT
ejpam-3416	106	5	u	u	NOUN
ejpam-3416	106	6	⋆	⋆	VERB
ejpam-3416	106	7	2(t	2(t	NUM
ejpam-3416	106	8	)	)	PUNCT
ejpam-3416	106	9	)	)	PUNCT
ejpam-3416	106	10	.	.	PUNCT
ejpam-3416	107	1	proof	proof	NOUN
ejpam-3416	107	2	:	:	PUNCT
ejpam-3416	107	3	to	to	PART
ejpam-3416	107	4	prove	prove	VERB
ejpam-3416	107	5	the	the	DET
ejpam-3416	107	6	existence	existence	NOUN
ejpam-3416	107	7	of	of	ADP
ejpam-3416	107	8	optimal	optimal	ADJ
ejpam-3416	107	9	control	control	NOUN
ejpam-3416	107	10	,	,	PUNCT
ejpam-3416	107	11	we	we	PRON
ejpam-3416	107	12	will	will	AUX
ejpam-3416	107	13	follow	follow	VERB
ejpam-3416	107	14	[	[	X
ejpam-3416	107	15	?	?	PUNCT
ejpam-3416	108	1	]	]	X
ejpam-3416	108	2	.	.	PUNCT
ejpam-3416	109	1	we	we	PRON
ejpam-3416	109	2	see	see	VERB
ejpam-3416	109	3	that	that	SCONJ
ejpam-3416	109	4	the	the	DET
ejpam-3416	109	5	set	set	NOUN
ejpam-3416	109	6	of	of	ADP
ejpam-3416	109	7	controls	control	NOUN
ejpam-3416	109	8	and	and	CCONJ
ejpam-3416	109	9	state	state	NOUN
ejpam-3416	109	10	variables	variable	NOUN
ejpam-3416	109	11	are	be	AUX
ejpam-3416	109	12	nonnegative	nonnegative	ADJ
ejpam-3416	109	13	and	and	CCONJ
ejpam-3416	109	14	nonempty	nonempty	X
ejpam-3416	109	15	[	[	X
ejpam-3416	109	16	17	17	NUM
ejpam-3416	109	17	]	]	PUNCT
ejpam-3416	109	18	.	.	PUNCT
ejpam-3416	110	1	the	the	DET
ejpam-3416	110	2	optimal	optimal	ADJ
ejpam-3416	110	3	system	system	NOUN
ejpam-3416	110	4	is	be	AUX
ejpam-3416	110	5	bounded	bound	VERB
ejpam-3416	110	6	which	which	PRON
ejpam-3416	110	7	determines	determine	VERB
ejpam-3416	110	8	the	the	DET
ejpam-3416	110	9	compactness	compactness	NOUN
ejpam-3416	110	10	needed	need	VERB
ejpam-3416	110	11	for	for	ADP
ejpam-3416	110	12	the	the	DET
ejpam-3416	110	13	existence	existence	NOUN
ejpam-3416	110	14	of	of	ADP
ejpam-3416	110	15	the	the	DET
ejpam-3416	110	16	optimal	optimal	ADJ
ejpam-3416	110	17	control	control	NOUN
ejpam-3416	110	18	.	.	PUNCT
ejpam-3416	111	1	also	also	ADV
ejpam-3416	111	2	,	,	PUNCT
ejpam-3416	111	3	the	the	DET
ejpam-3416	111	4	state	state	NOUN
ejpam-3416	111	5	system	system	NOUN
ejpam-3416	111	6	is	be	AUX
ejpam-3416	111	7	bounded	bound	VERB
ejpam-3416	111	8	by	by	ADP
ejpam-3416	111	9	a	a	DET
ejpam-3416	111	10	linear	linear	ADJ
ejpam-3416	111	11	function	function	NOUN
ejpam-3416	111	12	in	in	ADP
ejpam-3416	111	13	the	the	DET
ejpam-3416	111	14	state	state	NOUN
ejpam-3416	111	15	and	and	CCONJ
ejpam-3416	111	16	control	control	NOUN
ejpam-3416	111	17	variables	variable	NOUN
ejpam-3416	111	18	.	.	PUNCT
ejpam-3416	112	1	therefore	therefore	ADV
ejpam-3416	112	2	,	,	PUNCT
ejpam-3416	112	3	the	the	DET
ejpam-3416	112	4	control	control	NOUN
ejpam-3416	112	5	set	set	VERB
ejpam-3416	112	6	u	u	NOUN
ejpam-3416	112	7	is	be	AUX
ejpam-3416	112	8	convex	convex	ADJ
ejpam-3416	112	9	and	and	CCONJ
ejpam-3416	112	10	closed	close	VERB
ejpam-3416	112	11	.	.	PUNCT
ejpam-3416	113	1	using	use	VERB
ejpam-3416	113	2	the	the	DET
ejpam-3416	113	3	boundedness	boundedness	NOUN
ejpam-3416	113	4	of	of	ADP
ejpam-3416	113	5	the	the	DET
ejpam-3416	113	6	solution	solution	NOUN
ejpam-3416	113	7	,	,	PUNCT
ejpam-3416	113	8	we	we	PRON
ejpam-3416	113	9	see	see	VERB
ejpam-3416	113	10	that	that	SCONJ
ejpam-3416	113	11	the	the	DET
ejpam-3416	113	12	rhs	rhs	PROPN
ejpam-3416	113	13	of	of	ADP
ejpam-3416	113	14	the	the	DET
ejpam-3416	113	15	integrand	integrand	NOUN
ejpam-3416	113	16	of	of	ADP
ejpam-3416	113	17	the	the	DET
ejpam-3416	113	18	objective	objective	ADJ
ejpam-3416	113	19	functional	functional	NOUN
ejpam-3416	113	20	is	be	AUX
ejpam-3416	113	21	concave	concave	VERB
ejpam-3416	113	22	on	on	ADP
ejpam-3416	113	23	u	u	PROPN
ejpam-3416	113	24	.	.	PUNCT
ejpam-3416	114	1	finally	finally	ADV
ejpam-3416	114	2	,	,	PUNCT
ejpam-3416	114	3	we	we	PRON
ejpam-3416	114	4	can	can	AUX
ejpam-3416	114	5	prove	prove	VERB
ejpam-3416	114	6	that	that	SCONJ
ejpam-3416	114	7	there	there	PRON
ejpam-3416	114	8	exist	exist	VERB
ejpam-3416	114	9	constants	constant	NOUN
ejpam-3416	114	10	h1	h1	PROPN
ejpam-3416	114	11	,	,	PUNCT
ejpam-3416	114	12	h2	h2	PROPN
ejpam-3416	114	13	>	>	X
ejpam-3416	114	14	0	0	NUM
ejpam-3416	114	15	,	,	PUNCT
ejpam-3416	114	16	and	and	CCONJ
ejpam-3416	114	17	η	η	PROPN
ejpam-3416	114	18	>	>	X
ejpam-3416	114	19	1	1	NUM
ejpam-3416	114	20	such	such	ADJ
ejpam-3416	114	21	that	that	SCONJ
ejpam-3416	114	22	the	the	DET
ejpam-3416	114	23	integrand	integrand	PROPN
ejpam-3416	114	24	l(x(t	l(x(t	PROPN
ejpam-3416	114	25	)	)	PUNCT
ejpam-3416	114	26	,	,	PUNCT
ejpam-3416	114	27	w(t	w(t	PROPN
ejpam-3416	114	28	)	)	PUNCT
ejpam-3416	114	29	,	,	PUNCT
ejpam-3416	114	30	u1(t	u1(t	PROPN
ejpam-3416	114	31	)	)	PUNCT
ejpam-3416	114	32	,	,	PUNCT
ejpam-3416	114	33	u2(t	u2(t	NOUN
ejpam-3416	114	34	)	)	PUNCT
ejpam-3416	114	35	)	)	PUNCT
ejpam-3416	114	36	of	of	ADP
ejpam-3416	114	37	the	the	DET
ejpam-3416	114	38	objective	objective	ADJ
ejpam-3416	114	39	functional	functional	ADJ
ejpam-3416	114	40	satisfies	satisfie	NOUN
ejpam-3416	114	41	l	l	X
ejpam-3416	114	42	(	(	PUNCT
ejpam-3416	114	43	x(t	x(t	PROPN
ejpam-3416	114	44	)	)	PUNCT
ejpam-3416	114	45	,	,	PUNCT
ejpam-3416	114	46	w(t	w(t	PROPN
ejpam-3416	114	47	)	)	PUNCT
ejpam-3416	114	48	,	,	PUNCT
ejpam-3416	114	49	u1(t	u1(t	PROPN
ejpam-3416	114	50	)	)	PUNCT
ejpam-3416	114	51	,	,	PUNCT
ejpam-3416	114	52	u2(t	u2(t	NOUN
ejpam-3416	114	53	)	)	PUNCT
ejpam-3416	114	54	)	)	PUNCT
ejpam-3416	115	1	=	=	SYM
ejpam-3416	115	2	h2	h2	NOUN
ejpam-3416	115	3	−	−	PROPN
ejpam-3416	115	4	h1(|u1|	h1(|u1|	NUM
ejpam-3416	115	5	2	2	NUM
ejpam-3416	115	6	+	+	CCONJ
ejpam-3416	115	7	|u2|	|u2|	VERB
ejpam-3416	115	8	2)η/2	2)η/2	NUM
ejpam-3416	115	9	.	.	PUNCT
ejpam-3416	116	1	thus	thus	ADV
ejpam-3416	116	2	,	,	PUNCT
ejpam-3416	116	3	conclude	conclude	VERB
ejpam-3416	116	4	that	that	SCONJ
ejpam-3416	116	5	there	there	PRON
ejpam-3416	116	6	exists	exist	VERB
ejpam-3416	116	7	an	an	DET
ejpam-3416	116	8	optimal	optimal	ADJ
ejpam-3416	116	9	control	control	NOUN
ejpam-3416	116	10	.	.	PUNCT
ejpam-3416	117	1	next	next	ADV
ejpam-3416	117	2	,	,	PUNCT
ejpam-3416	117	3	we	we	PRON
ejpam-3416	117	4	use	use	VERB
ejpam-3416	117	5	pontryagin	pontryagin	NOUN
ejpam-3416	117	6	’s	’s	PART
ejpam-3416	117	7	maximum	maximum	ADJ
ejpam-3416	117	8	principle	principle	NOUN
ejpam-3416	117	9	[	[	X
ejpam-3416	117	10	18	18	NUM
ejpam-3416	117	11	]	]	PUNCT
ejpam-3416	117	12	to	to	PART
ejpam-3416	117	13	discuss	discuss	VERB
ejpam-3416	117	14	the	the	DET
ejpam-3416	117	15	following	follow	VERB
ejpam-3416	117	16	theorem	theorem	VERB
ejpam-3416	117	17	.	.	PUNCT
ejpam-3416	117	18	theorem	theorem	ADJ
ejpam-3416	117	19	3.2	3.2	NUM
ejpam-3416	117	20	:	:	PUNCT
ejpam-3416	117	21	for	for	ADP
ejpam-3416	117	22	the	the	DET
ejpam-3416	117	23	optimal	optimal	ADJ
ejpam-3416	117	24	control	control	NOUN
ejpam-3416	117	25	u⋆1(t	u⋆1(t	ADJ
ejpam-3416	117	26	)	)	PUNCT
ejpam-3416	117	27	,	,	PUNCT
ejpam-3416	117	28	u	u	NOUN
ejpam-3416	117	29	⋆	⋆	VERB
ejpam-3416	117	30	2(t	2(t	NUM
ejpam-3416	117	31	)	)	PUNCT
ejpam-3416	117	32	and	and	CCONJ
ejpam-3416	117	33	solutions	solution	NOUN
ejpam-3416	117	34	x⋆(t	x⋆(t	ADJ
ejpam-3416	117	35	)	)	PUNCT
ejpam-3416	117	36	,	,	PUNCT
ejpam-3416	117	37	y⋆(t	y⋆(t	NOUN
ejpam-3416	117	38	)	)	PUNCT
ejpam-3416	117	39	,	,	PUNCT
ejpam-3416	117	40	z⋆(t	z⋆(t	ADJ
ejpam-3416	117	41	)	)	PUNCT
ejpam-3416	117	42	,	,	PUNCT
ejpam-3416	117	43	v⋆(t	v⋆(t	NOUN
ejpam-3416	117	44	)	)	PUNCT
ejpam-3416	117	45	,	,	PUNCT
ejpam-3416	117	46	and	and	CCONJ
ejpam-3416	117	47	w⋆(t	w⋆(t	NOUN
ejpam-3416	117	48	)	)	PUNCT
ejpam-3416	117	49	of	of	ADP
ejpam-3416	117	50	the	the	DET
ejpam-3416	117	51	corresponding	corresponding	ADJ
ejpam-3416	117	52	state	state	NOUN
ejpam-3416	117	53	system	system	NOUN
ejpam-3416	117	54	(	(	PUNCT
ejpam-3416	117	55	1	1	NUM
ejpam-3416	117	56	)	)	PUNCT
ejpam-3416	117	57	,	,	PUNCT
ejpam-3416	117	58	there	there	PRON
ejpam-3416	117	59	are	be	VERB
ejpam-3416	117	60	adjoint	adjoint	NOUN
ejpam-3416	117	61	variables	variable	NOUN
ejpam-3416	117	62	λi(t	λi(t	NUM
ejpam-3416	117	63	)	)	PUNCT
ejpam-3416	117	64	,	,	PUNCT
ejpam-3416	117	65	i	i	PRON
ejpam-3416	117	66	=	=	NOUN
ejpam-3416	117	67	1	1	NUM
ejpam-3416	117	68	,	,	PUNCT
ejpam-3416	117	69	2	2	NUM
ejpam-3416	117	70	,	,	PUNCT
ejpam-3416	117	71	...	...	PUNCT
ejpam-3416	117	72	,	,	PUNCT
ejpam-3416	117	73	5	5	NUM
ejpam-3416	117	74	,	,	PUNCT
ejpam-3416	117	75	satisfying	satisfy	VERB
ejpam-3416	117	76	the	the	DET
ejpam-3416	117	77	equations	equation	NOUN
ejpam-3416	118	1	dλ1	dλ1	NOUN
ejpam-3416	118	2	dt	dt	PUNCT
ejpam-3416	119	1	=	=	PUNCT
ejpam-3416	119	2	ρ1	ρ1	PROPN
ejpam-3416	119	3	+	+	CCONJ
ejpam-3416	119	4	λ1(t	λ1(t	X
ejpam-3416	119	5	)	)	PUNCT
ejpam-3416	119	6	(	(	PUNCT
ejpam-3416	119	7	d+	d+	X
ejpam-3416	119	8	(	(	PUNCT
ejpam-3416	119	9	1−	1−	NUM
ejpam-3416	119	10	u⋆1(t))βv	u⋆1(t))βv	NOUN
ejpam-3416	119	11	⋆(t	⋆(t	PROPN
ejpam-3416	119	12	)	)	PUNCT
ejpam-3416	119	13	)	)	PUNCT
ejpam-3416	120	1	+	+	CCONJ
ejpam-3416	120	2	λ1(t+	λ1(t+	PROPN
ejpam-3416	120	3	τ)λ2(t)βe	τ)λ2(t)βe	NOUN
ejpam-3416	120	4	−aτv⋆(t−	−aτv⋆(t−	NOUN
ejpam-3416	120	5	τ)(u⋆1(t)−	τ)(u⋆1(t)−	PROPN
ejpam-3416	120	6	1	1	NUM
ejpam-3416	120	7	)	)	PUNCT
ejpam-3416	120	8	,	,	PUNCT
ejpam-3416	120	9	dλ2	dλ2	NOUN
ejpam-3416	120	10	dt	dt	NOUN
ejpam-3416	120	11	=	=	SYM
ejpam-3416	120	12	aλ2(t	aλ2(t	PROPN
ejpam-3416	120	13	)	)	PUNCT
ejpam-3416	120	14	+	+	CCONJ
ejpam-3416	120	15	(	(	PUNCT
ejpam-3416	120	16	λ2(t)−	λ2(t)−	X
ejpam-3416	120	17	λ3(t))αw	λ3(t))αw	X
ejpam-3416	120	18	⋆(t	⋆(t	PROPN
ejpam-3416	120	19	)	)	PUNCT
ejpam-3416	121	1	+	+	CCONJ
ejpam-3416	121	2	λ4k(u	λ4k(u	PROPN
ejpam-3416	121	3	⋆	⋆	VERB
ejpam-3416	121	4	1(t)−	1(t)−	NUM
ejpam-3416	121	5	1	1	NUM
ejpam-3416	121	6	)	)	PUNCT
ejpam-3416	121	7	,	,	PUNCT
ejpam-3416	121	8	dλ3	dλ3	NOUN
ejpam-3416	122	1	dt	dt	PROPN
ejpam-3416	122	2	=	=	SYM
ejpam-3416	122	3	bλ3(t)−	bλ3(t)−	PROPN
ejpam-3416	122	4	cλ5(t	cλ5(t	NOUN
ejpam-3416	122	5	)	)	PUNCT
ejpam-3416	122	6	,	,	PUNCT
ejpam-3416	122	7	(	(	PUNCT
ejpam-3416	122	8	5	5	X
ejpam-3416	122	9	)	)	PUNCT
ejpam-3416	122	10	dλ4	dλ4	VERB
ejpam-3416	122	11	dt	dt	NOUN
ejpam-3416	123	1	=	=	PUNCT
ejpam-3416	123	2	λ1(t)(1−	λ1(t)(1−	PROPN
ejpam-3416	123	3	u⋆1(t))βx	u⋆1(t))βx	ADJ
ejpam-3416	123	4	⋆(t−	⋆(t−	X
ejpam-3416	123	5	τ	τ	X
ejpam-3416	123	6	)	)	PUNCT
ejpam-3416	124	1	+	+	CCONJ
ejpam-3416	124	2	λ4(t+	λ4(t+	PROPN
ejpam-3416	124	3	τ)λ2(t)βe	τ)λ2(t)βe	NOUN
ejpam-3416	124	4	−aτx⋆(t)(u⋆1(t)−	−aτx⋆(t)(u⋆1(t)−	PROPN
ejpam-3416	124	5	1	1	NUM
ejpam-3416	124	6	)	)	PUNCT
ejpam-3416	124	7	+	+	CCONJ
ejpam-3416	124	8	λ4(t)p	λ4(t)p	ADJ
ejpam-3416	124	9	,	,	PUNCT
ejpam-3416	124	10	dλ5	dλ5	INTJ
ejpam-3416	124	11	dt	dt	NOUN
ejpam-3416	124	12	=	=	SYM
ejpam-3416	124	13	ρ2	ρ2	NOUN
ejpam-3416	124	14	+	+	CCONJ
ejpam-3416	124	15	(	(	PUNCT
ejpam-3416	124	16	λ2(t)−	λ2(t)−	PROPN
ejpam-3416	124	17	λ3(t))αy	λ3(t))αy	X
ejpam-3416	124	18	⋆(t	⋆(t	VERB
ejpam-3416	124	19	)	)	PUNCT
ejpam-3416	124	20	+	+	CCONJ
ejpam-3416	124	21	λ5(t)q	λ5(t)q	ADP
ejpam-3416	124	22	,	,	PUNCT
ejpam-3416	124	23	with	with	ADP
ejpam-3416	124	24	transversality	transversality	NOUN
ejpam-3416	124	25	conditions	condition	NOUN
ejpam-3416	124	26	λj(t	λj(t	PUNCT
ejpam-3416	124	27	)	)	PUNCT
ejpam-3416	125	1	=	=	SYM
ejpam-3416	125	2	0	0	NUM
ejpam-3416	125	3	,	,	PUNCT
ejpam-3416	125	4	j	j	PROPN
ejpam-3416	125	5	=	=	SYM
ejpam-3416	125	6	1	1	NUM
ejpam-3416	125	7	,	,	PUNCT
ejpam-3416	125	8	2	2	NUM
ejpam-3416	125	9	,	,	PUNCT
ejpam-3416	125	10	...	...	PUNCT
ejpam-3416	125	11	,	,	PUNCT
ejpam-3416	125	12	5	5	X
ejpam-3416	125	13	.	.	PUNCT
ejpam-3416	125	14	(	(	PUNCT
ejpam-3416	125	15	6	6	NUM
ejpam-3416	125	16	)	)	PUNCT
ejpam-3416	125	17	n.ali	n.ali	PROPN
ejpam-3416	125	18	,	,	PUNCT
ejpam-3416	125	19	m.i	m.i	PROPN
ejpam-3416	125	20	.	.	PROPN
ejpam-3416	125	21	chohan	chohan	PROPN
ejpam-3416	125	22	,	,	PUNCT
ejpam-3416	125	23	g.	g.	PROPN
ejpam-3416	125	24	zaman	zaman	PROPN
ejpam-3416	125	25	/	/	SYM
ejpam-3416	125	26	eur	eur	PROPN
ejpam-3416	125	27	.	.	PUNCT
ejpam-3416	126	1	j.	j.	PROPN
ejpam-3416	126	2	pure	pure	PROPN
ejpam-3416	126	3	appl	appl	PROPN
ejpam-3416	126	4	.	.	PROPN
ejpam-3416	126	5	math	math	PROPN
ejpam-3416	126	6	,	,	PUNCT
ejpam-3416	126	7	12	12	NUM
ejpam-3416	126	8	(	(	PUNCT
ejpam-3416	126	9	2	2	NUM
ejpam-3416	126	10	)	)	PUNCT
ejpam-3416	126	11	(	(	PUNCT
ejpam-3416	126	12	2019	2019	NUM
ejpam-3416	126	13	)	)	PUNCT
ejpam-3416	126	14	,	,	PUNCT
ejpam-3416	126	15	506	506	NUM
ejpam-3416	126	16	-	-	SYM
ejpam-3416	126	17	518	518	NUM
ejpam-3416	126	18	511	511	NUM
ejpam-3416	126	19	proof	proof	NOUN
ejpam-3416	126	20	:	:	PUNCT
ejpam-3416	126	21	using	use	VERB
ejpam-3416	126	22	pontryagin	pontryagin	NOUN
ejpam-3416	126	23	’s	’s	PART
ejpam-3416	126	24	minimum	minimum	ADJ
ejpam-3416	126	25	principle	principle	NOUN
ejpam-3416	126	26	presented	present	VERB
ejpam-3416	126	27	in	in	ADP
ejpam-3416	126	28	[	[	X
ejpam-3416	126	29	18	18	NUM
ejpam-3416	126	30	]	]	PUNCT
ejpam-3416	126	31	,	,	PUNCT
ejpam-3416	126	32	we	we	PRON
ejpam-3416	126	33	get	get	VERB
ejpam-3416	126	34	the	the	DET
ejpam-3416	126	35	following	follow	VERB
ejpam-3416	126	36	system	system	NOUN
ejpam-3416	126	37	of	of	ADP
ejpam-3416	126	38	adjoint	adjoint	NOUN
ejpam-3416	126	39	variables	variable	NOUN
ejpam-3416	126	40	dλ1	dλ1	VERB
ejpam-3416	126	41	dt	dt	PUNCT
ejpam-3416	127	1	=	=	PUNCT
ejpam-3416	127	2	−	−	PROPN
ejpam-3416	127	3	∂h(t	∂h(t	NOUN
ejpam-3416	127	4	)	)	PUNCT
ejpam-3416	127	5	∂x	∂x	PROPN
ejpam-3416	127	6	−	−	PROPN
ejpam-3416	127	7	λ1(t+	λ1(t+	PROPN
ejpam-3416	127	8	τ	τ	PROPN
ejpam-3416	127	9	)	)	PUNCT
ejpam-3416	127	10	∂h	∂h	PROPN
ejpam-3416	127	11	∂xτ	∂xτ	PROPN
ejpam-3416	127	12	,	,	PUNCT
ejpam-3416	127	13	λ1(t	λ1(t	PUNCT
ejpam-3416	127	14	)	)	PUNCT
ejpam-3416	127	15	=	=	SYM
ejpam-3416	127	16	0	0	NUM
ejpam-3416	127	17	,	,	PUNCT
ejpam-3416	127	18	dλ2	dλ2	NOUN
ejpam-3416	127	19	dt	dt	NOUN
ejpam-3416	127	20	=	=	SYM
ejpam-3416	127	21	−	−	PROPN
ejpam-3416	127	22	∂h(t	∂h(t	NOUN
ejpam-3416	127	23	)	)	PUNCT
ejpam-3416	127	24	∂y	∂y	SYM
ejpam-3416	127	25	,	,	PUNCT
ejpam-3416	127	26	λ2(t	λ2(t	PROPN
ejpam-3416	127	27	)	)	PUNCT
ejpam-3416	127	28	=	=	SYM
ejpam-3416	127	29	0	0	NUM
ejpam-3416	127	30	,	,	PUNCT
ejpam-3416	127	31	dλ3	dλ3	NOUN
ejpam-3416	128	1	dt	dt	NOUN
ejpam-3416	128	2	=	=	SYM
ejpam-3416	128	3	−	−	PROPN
ejpam-3416	128	4	∂h(t	∂h(t	NOUN
ejpam-3416	128	5	)	)	PUNCT
ejpam-3416	128	6	∂z	∂z	PROPN
ejpam-3416	128	7	,	,	PUNCT
ejpam-3416	128	8	λ3(t	λ3(t	PROPN
ejpam-3416	128	9	)	)	PUNCT
ejpam-3416	128	10	=	=	SYM
ejpam-3416	128	11	0	0	NUM
ejpam-3416	128	12	,	,	PUNCT
ejpam-3416	128	13	dλ4	dλ4	VERB
ejpam-3416	128	14	dt	dt	NOUN
ejpam-3416	128	15	=	=	PUNCT
ejpam-3416	128	16	−	−	NOUN
ejpam-3416	128	17	∂h(t	∂h(t	NOUN
ejpam-3416	128	18	)	)	PUNCT
ejpam-3416	128	19	∂v	∂v	PROPN
ejpam-3416	128	20	(	(	PUNCT
ejpam-3416	128	21	t)−	t)−	PROPN
ejpam-3416	128	22	λ4(t+	λ4(t+	PROPN
ejpam-3416	128	23	τ	τ	PROPN
ejpam-3416	128	24	)	)	PUNCT
ejpam-3416	128	25	∂h(t	∂h(t	PROPN
ejpam-3416	128	26	∂vτ	∂vτ	NOUN
ejpam-3416	128	27	,	,	PUNCT
ejpam-3416	128	28	λ4(t	λ4(t	PROPN
ejpam-3416	128	29	)	)	PUNCT
ejpam-3416	129	1	=	=	SYM
ejpam-3416	129	2	0	0	NUM
ejpam-3416	129	3	,	,	PUNCT
ejpam-3416	129	4	dλ5	dλ5	INTJ
ejpam-3416	129	5	dt	dt	NOUN
ejpam-3416	129	6	=	=	SYM
ejpam-3416	129	7	−	−	PROPN
ejpam-3416	129	8	∂h(t	∂h(t	NOUN
ejpam-3416	129	9	)	)	PUNCT
ejpam-3416	129	10	∂w	∂w	PROPN
ejpam-3416	129	11	,	,	PUNCT
ejpam-3416	129	12	λ5(t	λ5(t	PROPN
ejpam-3416	129	13	)	)	PUNCT
ejpam-3416	130	1	=	=	PUNCT
ejpam-3416	130	2	0	0	X
ejpam-3416	130	3	.	.	PUNCT
ejpam-3416	131	1	further	far	ADV
ejpam-3416	131	2	,	,	PUNCT
ejpam-3416	131	3	adjusting	adjust	VERB
ejpam-3416	131	4	x(t	x(t	PROPN
ejpam-3416	131	5	)	)	PUNCT
ejpam-3416	131	6	=	=	SYM
ejpam-3416	131	7	x⋆(t	x⋆(t	ADJ
ejpam-3416	131	8	)	)	PUNCT
ejpam-3416	131	9	,	,	PUNCT
ejpam-3416	131	10	y(t	y(t	NUM
ejpam-3416	131	11	)	)	PUNCT
ejpam-3416	131	12	=	=	SYM
ejpam-3416	131	13	y⋆(t	y⋆(t	NOUN
ejpam-3416	131	14	)	)	PUNCT
ejpam-3416	131	15	,	,	PUNCT
ejpam-3416	131	16	z(t	z(t	X
ejpam-3416	131	17	)	)	PUNCT
ejpam-3416	131	18	=	=	SYM
ejpam-3416	131	19	z⋆(t	z⋆(t	NOUN
ejpam-3416	131	20	)	)	PUNCT
ejpam-3416	131	21	,	,	PUNCT
ejpam-3416	131	22	v(t	v(t	NOUN
ejpam-3416	131	23	)	)	PUNCT
ejpam-3416	131	24	=	=	SYM
ejpam-3416	131	25	v⋆(t	v⋆(t	NOUN
ejpam-3416	131	26	)	)	PUNCT
ejpam-3416	131	27	and	and	CCONJ
ejpam-3416	131	28	w(t	w(t	PROPN
ejpam-3416	131	29	)	)	PUNCT
ejpam-3416	131	30	=	=	SYM
ejpam-3416	131	31	w⋆(t	w⋆(t	NOUN
ejpam-3416	131	32	)	)	PUNCT
ejpam-3416	131	33	,	,	PUNCT
ejpam-3416	131	34	we	we	PRON
ejpam-3416	131	35	get	get	VERB
ejpam-3416	131	36	the	the	DET
ejpam-3416	131	37	adjoint	adjoint	NOUN
ejpam-3416	131	38	system	system	NOUN
ejpam-3416	131	39	(	(	PUNCT
ejpam-3416	131	40	5	5	X
ejpam-3416	131	41	)	)	PUNCT
ejpam-3416	131	42	satisfying	satisfy	VERB
ejpam-3416	131	43	tranversality	tranversality	NOUN
ejpam-3416	131	44	conditions	condition	NOUN
ejpam-3416	131	45	λj(t	λj(t	PUNCT
ejpam-3416	131	46	)	)	PUNCT
ejpam-3416	132	1	=	=	SYM
ejpam-3416	132	2	0	0	NUM
ejpam-3416	132	3	,	,	PUNCT
ejpam-3416	132	4	j	j	PROPN
ejpam-3416	132	5	=	=	SYM
ejpam-3416	132	6	1	1	NUM
ejpam-3416	132	7	,	,	PUNCT
ejpam-3416	132	8	2	2	NUM
ejpam-3416	132	9	,	,	PUNCT
ejpam-3416	132	10	...	...	PUNCT
ejpam-3416	132	11	,	,	PUNCT
ejpam-3416	132	12	5	5	X
ejpam-3416	132	13	.	.	X
ejpam-3416	132	14	theorem	theorem	VERB
ejpam-3416	132	15	3.3	3.3	NUM
ejpam-3416	132	16	:	:	PUNCT
ejpam-3416	132	17	the	the	DET
ejpam-3416	132	18	control	control	NOUN
ejpam-3416	132	19	pair	pair	NOUN
ejpam-3416	132	20	(	(	PUNCT
ejpam-3416	132	21	u⋆1(t	u⋆1(t	ADJ
ejpam-3416	132	22	)	)	PUNCT
ejpam-3416	132	23	,	,	PUNCT
ejpam-3416	132	24	u	u	NOUN
ejpam-3416	132	25	⋆	⋆	VERB
ejpam-3416	132	26	2(t	2(t	NUM
ejpam-3416	132	27	)	)	PUNCT
ejpam-3416	132	28	)	)	PUNCT
ejpam-3416	132	29	,	,	PUNCT
ejpam-3416	132	30	which	which	PRON
ejpam-3416	132	31	maximizes	maximize	VERB
ejpam-3416	132	32	the	the	DET
ejpam-3416	132	33	objective	objective	ADJ
ejpam-3416	132	34	functional	functional	ADJ
ejpam-3416	132	35	j	j	PROPN
ejpam-3416	132	36	over	over	ADP
ejpam-3416	132	37	the	the	DET
ejpam-3416	132	38	region	region	NOUN
ejpam-3416	132	39	u	u	NOUN
ejpam-3416	132	40	is	be	AUX
ejpam-3416	132	41	given	give	VERB
ejpam-3416	132	42	by	by	ADP
ejpam-3416	132	43	u⋆1(t	u⋆1(t	ADJ
ejpam-3416	132	44	)	)	PUNCT
ejpam-3416	132	45	=	=	SYM
ejpam-3416	132	46	max{min	max{min	X
ejpam-3416	132	47	{	{	PUNCT
ejpam-3416	132	48	β	β	X
ejpam-3416	132	49	ξ1	ξ1	NOUN
ejpam-3416	132	50	(	(	PUNCT
ejpam-3416	132	51	λ2(t)e	λ2(t)e	NOUN
ejpam-3416	132	52	−aτx⋆(t−	−aτx⋆(t−	NOUN
ejpam-3416	132	53	τ)v⋆(t−	τ)v⋆(t−	PUNCT
ejpam-3416	132	54	τ))−	τ))−	NUM
ejpam-3416	132	55	λ1(t)x	λ1(t)x	X
ejpam-3416	132	56	⋆(t)v⋆(t	⋆(t)v⋆(t	NOUN
ejpam-3416	132	57	)	)	PUNCT
ejpam-3416	132	58	)	)	PUNCT
ejpam-3416	132	59	,	,	PUNCT
ejpam-3416	132	60	1	1	X
ejpam-3416	132	61	}	}	PUNCT
ejpam-3416	132	62	,	,	PUNCT
ejpam-3416	132	63	0	0	NUM
ejpam-3416	132	64	}	}	PUNCT
ejpam-3416	132	65	,	,	PUNCT
ejpam-3416	132	66	u⋆2(t	u⋆2(t	ADJ
ejpam-3416	132	67	)	)	PUNCT
ejpam-3416	132	68	=	=	SYM
ejpam-3416	132	69	max{min	max{min	X
ejpam-3416	132	70	{	{	PUNCT
ejpam-3416	132	71	λ4(t)ky	λ4(t)ky	X
ejpam-3416	132	72	⋆(t	⋆(t	PROPN
ejpam-3416	132	73	)	)	PUNCT
ejpam-3416	132	74	ξ2	ξ2	NOUN
ejpam-3416	132	75	,	,	PUNCT
ejpam-3416	132	76	1	1	NUM
ejpam-3416	132	77	}	}	PUNCT
ejpam-3416	132	78	,	,	PUNCT
ejpam-3416	132	79	0	0	NUM
ejpam-3416	132	80	}	}	PUNCT
ejpam-3416	132	81	.	.	PUNCT
ejpam-3416	133	1	proof	proof	NOUN
ejpam-3416	133	2	:	:	PUNCT
ejpam-3416	133	3	the	the	DET
ejpam-3416	133	4	optimality	optimality	NOUN
ejpam-3416	133	5	conditions	condition	NOUN
ejpam-3416	133	6	yields	yield	VERB
ejpam-3416	133	7	the	the	PRON
ejpam-3416	133	8	following	follow	VERB
ejpam-3416	133	9	∂h	∂h	PROPN
ejpam-3416	133	10	∂u1	∂u1	PROPN
ejpam-3416	133	11	=	=	PRON
ejpam-3416	133	12	ξ1u	ξ1u	PROPN
ejpam-3416	133	13	⋆	⋆	VERB
ejpam-3416	133	14	1(t)+	1(t)+	NUM
ejpam-3416	133	15	λ1(t)βx	λ1(t)βx	PROPN
ejpam-3416	133	16	⋆(t)v⋆(t)−	⋆(t)v⋆(t)−	PUNCT
ejpam-3416	133	17	λ2(t)βe	λ2(t)βe	NOUN
ejpam-3416	134	1	−aτx⋆(t−	−aτx⋆(t−	INTJ
ejpam-3416	134	2	τ)v⋆(t−	τ)v⋆(t−	PUNCT
ejpam-3416	134	3	τ	τ	PROPN
ejpam-3416	134	4	)	)	PUNCT
ejpam-3416	134	5	,	,	PUNCT
ejpam-3416	134	6	(	(	PUNCT
ejpam-3416	134	7	7	7	X
ejpam-3416	134	8	)	)	PUNCT
ejpam-3416	134	9	and	and	CCONJ
ejpam-3416	134	10	∂h	∂h	PROPN
ejpam-3416	134	11	∂u2	∂u2	NOUN
ejpam-3416	134	12	=	=	PUNCT
ejpam-3416	134	13	ξ2u	ξ2u	PROPN
ejpam-3416	134	14	⋆	⋆	VERB
ejpam-3416	134	15	2(t)−	2(t)−	NUM
ejpam-3416	134	16	λ4(t)ky	λ4(t)ky	PRON
ejpam-3416	135	1	⋆(t	⋆(t	PROPN
ejpam-3416	135	2	)	)	PUNCT
ejpam-3416	135	3	.	.	PUNCT
ejpam-3416	136	1	(	(	PUNCT
ejpam-3416	136	2	8)	8)	NUM
ejpam-3416	136	3	solving	solving	NOUN
ejpam-3416	136	4	equations	equation	NOUN
ejpam-3416	136	5	(	(	PUNCT
ejpam-3416	136	6	7	7	NUM
ejpam-3416	136	7	)	)	PUNCT
ejpam-3416	136	8	and	and	CCONJ
ejpam-3416	136	9	(	(	PUNCT
ejpam-3416	136	10	8)	8)	NUM
ejpam-3416	136	11	for	for	ADP
ejpam-3416	136	12	the	the	DET
ejpam-3416	136	13	optimal	optimal	ADJ
ejpam-3416	136	14	control	control	NOUN
ejpam-3416	136	15	variables	variable	NOUN
ejpam-3416	136	16	u⋆1(t	u⋆1(t	ADJ
ejpam-3416	136	17	)	)	PUNCT
ejpam-3416	136	18	and	and	CCONJ
ejpam-3416	136	19	u⋆2(t	u⋆2(t	ADJ
ejpam-3416	136	20	)	)	PUNCT
ejpam-3416	136	21	,	,	PUNCT
ejpam-3416	136	22	we	we	PRON
ejpam-3416	136	23	get	get	VERB
ejpam-3416	136	24	u⋆1(t	u⋆1(t	ADJ
ejpam-3416	136	25	)	)	PUNCT
ejpam-3416	137	1	=	=	PUNCT
ejpam-3416	137	2	β	β	X
ejpam-3416	137	3	ξ1	ξ1	NOUN
ejpam-3416	137	4	(	(	PUNCT
ejpam-3416	137	5	λ2(t)e	λ2(t)e	NOUN
ejpam-3416	137	6	−aτx⋆(t−	−aτx⋆(t−	NOUN
ejpam-3416	137	7	τ)v⋆(t−	τ)v⋆(t−	PUNCT
ejpam-3416	137	8	τ))−	τ))−	NUM
ejpam-3416	137	9	λ1(t)x	λ1(t)x	X
ejpam-3416	137	10	⋆(t)v⋆(t	⋆(t)v⋆(t	NOUN
ejpam-3416	137	11	)	)	PUNCT
ejpam-3416	137	12	)	)	PUNCT
ejpam-3416	137	13	,	,	PUNCT
ejpam-3416	137	14	(	(	PUNCT
ejpam-3416	137	15	9	9	X
ejpam-3416	137	16	)	)	PUNCT
ejpam-3416	137	17	u⋆2(t	u⋆2(t	NOUN
ejpam-3416	137	18	)	)	PUNCT
ejpam-3416	137	19	=	=	PUNCT
ejpam-3416	138	1	λ4(t)ky	λ4(t)ky	NUM
ejpam-3416	138	2	⋆(t	⋆(t	PROPN
ejpam-3416	138	3	)	)	PUNCT
ejpam-3416	138	4	ξ2	ξ2	NOUN
ejpam-3416	138	5	.	.	PUNCT
ejpam-3416	139	1	(	(	PUNCT
ejpam-3416	139	2	10	10	NUM
ejpam-3416	139	3	)	)	PUNCT
ejpam-3416	139	4	by	by	ADP
ejpam-3416	139	5	using	use	VERB
ejpam-3416	139	6	the	the	DET
ejpam-3416	139	7	property	property	NOUN
ejpam-3416	139	8	of	of	ADP
ejpam-3416	139	9	control	control	NOUN
ejpam-3416	139	10	space	space	NOUN
ejpam-3416	139	11	,	,	PUNCT
ejpam-3416	139	12	the	the	DET
ejpam-3416	139	13	equations	equation	NOUN
ejpam-3416	139	14	(	(	PUNCT
ejpam-3416	139	15	9	9	NUM
ejpam-3416	139	16	)	)	PUNCT
ejpam-3416	139	17	and	and	CCONJ
ejpam-3416	139	18	(	(	PUNCT
ejpam-3416	139	19	10	10	NUM
ejpam-3416	139	20	)	)	PUNCT
ejpam-3416	139	21	can	can	AUX
ejpam-3416	139	22	be	be	AUX
ejpam-3416	139	23	written	write	VERB
ejpam-3416	139	24	as	as	ADP
ejpam-3416	139	25	u⋆1(t	u⋆1(t	ADJ
ejpam-3416	139	26	)	)	PUNCT
ejpam-3416	140	1	=	=	PUNCT
ejpam-3416	140	2			PROPN
ejpam-3416	140	3			X
ejpam-3416	140	4			PROPN
ejpam-3416	140	5			PROPN
ejpam-3416	140	6			NOUN
ejpam-3416	140	7			PROPN
ejpam-3416	140	8			PROPN
ejpam-3416	140	9			PROPN
ejpam-3416	140	10			NOUN
ejpam-3416	140	11	0	0	PUNCT
ejpam-3416	141	1	if	if	SCONJ
ejpam-3416	141	2	β	β	X
ejpam-3416	141	3	ξ1	ξ1	NOUN
ejpam-3416	141	4	(	(	PUNCT
ejpam-3416	141	5	λ2(t)e	λ2(t)e	NOUN
ejpam-3416	141	6	−aτx⋆(t−	−aτx⋆(t−	NOUN
ejpam-3416	141	7	τ)v⋆(t−	τ)v⋆(t−	PUNCT
ejpam-3416	141	8	τ))−	τ))−	NUM
ejpam-3416	141	9	λ1(t)x	λ1(t)x	X
ejpam-3416	141	10	⋆(t)v⋆(t	⋆(t)v⋆(t	NOUN
ejpam-3416	141	11	)	)	PUNCT
ejpam-3416	141	12	)	)	PUNCT
ejpam-3416	141	13	≤	≤	ADV
ejpam-3416	141	14	0	0	NUM
ejpam-3416	141	15	,	,	PUNCT
ejpam-3416	141	16	β	β	X
ejpam-3416	141	17	ξ1	ξ1	NOUN
ejpam-3416	141	18	(	(	PUNCT
ejpam-3416	141	19	λ2(t)e	λ2(t)e	NOUN
ejpam-3416	141	20	−aτx⋆(t−	−aτx⋆(t−	NOUN
ejpam-3416	141	21	τ)v⋆(t−	τ)v⋆(t−	PUNCT
ejpam-3416	141	22	τ))−	τ))−	NUM
ejpam-3416	141	23	λ1(t)x	λ1(t)x	X
ejpam-3416	141	24	⋆(t)v⋆(t	⋆(t)v⋆(t	NOUN
ejpam-3416	141	25	)	)	PUNCT
ejpam-3416	141	26	)	)	PUNCT
ejpam-3416	142	1	if	if	SCONJ
ejpam-3416	142	2	0	0	NUM
ejpam-3416	142	3	<	<	X
ejpam-3416	142	4	β	β	X
ejpam-3416	142	5	ξ1	ξ1	NOUN
ejpam-3416	142	6	(	(	PUNCT
ejpam-3416	142	7	λ2(t)e	λ2(t)e	NOUN
ejpam-3416	142	8	−aτx⋆(t−	−aτx⋆(t−	NOUN
ejpam-3416	142	9	τ)v⋆(t−	τ)v⋆(t−	PUNCT
ejpam-3416	142	10	τ))−	τ))−	NUM
ejpam-3416	142	11	λ1(t)x	λ1(t)x	X
ejpam-3416	142	12	⋆(t)v⋆(t	⋆(t)v⋆(t	NOUN
ejpam-3416	142	13	)	)	PUNCT
ejpam-3416	142	14	)	)	PUNCT
ejpam-3416	142	15	<	<	X
ejpam-3416	142	16	1	1	NUM
ejpam-3416	142	17	,	,	PUNCT
ejpam-3416	142	18	1	1	NUM
ejpam-3416	142	19	if	if	SCONJ
ejpam-3416	142	20	β	β	X
ejpam-3416	142	21	ξ1	ξ1	NOUN
ejpam-3416	142	22	(	(	PUNCT
ejpam-3416	142	23	λ2(t)e	λ2(t)e	NOUN
ejpam-3416	142	24	−aτx⋆(t−	−aτx⋆(t−	NOUN
ejpam-3416	142	25	τ)v⋆(t−	τ)v⋆(t−	PUNCT
ejpam-3416	142	26	τ))−	τ))−	NUM
ejpam-3416	142	27	λ1(t)x	λ1(t)x	X
ejpam-3416	142	28	⋆(t)v⋆(t	⋆(t)v⋆(t	NOUN
ejpam-3416	142	29	)	)	PUNCT
ejpam-3416	142	30	)	)	PUNCT
ejpam-3416	142	31	≥	≥	NOUN
ejpam-3416	143	1	1	1	X
ejpam-3416	143	2	.	.	PUNCT
ejpam-3416	143	3	n.ali	n.ali	PROPN
ejpam-3416	143	4	,	,	PUNCT
ejpam-3416	143	5	m.i	m.i	PROPN
ejpam-3416	143	6	.	.	PROPN
ejpam-3416	143	7	chohan	chohan	PROPN
ejpam-3416	143	8	,	,	PUNCT
ejpam-3416	143	9	g.	g.	PROPN
ejpam-3416	143	10	zaman	zaman	PROPN
ejpam-3416	143	11	/	/	SYM
ejpam-3416	143	12	eur	eur	PROPN
ejpam-3416	143	13	.	.	PUNCT
ejpam-3416	144	1	j.	j.	PROPN
ejpam-3416	144	2	pure	pure	PROPN
ejpam-3416	144	3	appl	appl	PROPN
ejpam-3416	144	4	.	.	PROPN
ejpam-3416	144	5	math	math	PROPN
ejpam-3416	144	6	,	,	PUNCT
ejpam-3416	144	7	12	12	NUM
ejpam-3416	144	8	(	(	PUNCT
ejpam-3416	144	9	2	2	NUM
ejpam-3416	144	10	)	)	PUNCT
ejpam-3416	144	11	(	(	PUNCT
ejpam-3416	144	12	2019	2019	NUM
ejpam-3416	144	13	)	)	PUNCT
ejpam-3416	144	14	,	,	PUNCT
ejpam-3416	144	15	506	506	NUM
ejpam-3416	144	16	-	-	SYM
ejpam-3416	144	17	518	518	NUM
ejpam-3416	144	18	512	512	NUM
ejpam-3416	144	19	u⋆2(t	u⋆2(t	NOUN
ejpam-3416	144	20	)	)	PUNCT
ejpam-3416	144	21	=	=	PUNCT
ejpam-3416	145	1			PROPN
ejpam-3416	145	2			VERB
ejpam-3416	145	3			PRON
ejpam-3416	145	4			ADJ
ejpam-3416	145	5			NOUN
ejpam-3416	145	6	0	0	PUNCT
ejpam-3416	145	7	if	if	SCONJ
ejpam-3416	145	8	λ4(t)ky⋆(t	λ4(t)ky⋆(t	PROPN
ejpam-3416	145	9	)	)	PUNCT
ejpam-3416	145	10	ξ2	ξ2	NOUN
ejpam-3416	145	11	≤	≤	NUM
ejpam-3416	145	12	0	0	NUM
ejpam-3416	145	13	,	,	PUNCT
ejpam-3416	145	14	λ4(t)ky⋆	λ4(t)ky⋆	VERB
ejpam-3416	146	1	ξ2	ξ2	NOUN
ejpam-3416	146	2	if	if	SCONJ
ejpam-3416	146	3	0	0	NUM
ejpam-3416	146	4	<	<	X
ejpam-3416	146	5	λ4(t)ky⋆(t	λ4(t)ky⋆(t	PROPN
ejpam-3416	146	6	)	)	PUNCT
ejpam-3416	146	7	ξ2	ξ2	NOUN
ejpam-3416	146	8	<	<	X
ejpam-3416	146	9	1	1	NUM
ejpam-3416	146	10	,	,	PUNCT
ejpam-3416	146	11	1	1	NUM
ejpam-3416	146	12	if	if	SCONJ
ejpam-3416	146	13	λ4(t)ky⋆(t	λ4(t)ky⋆(t	PROPN
ejpam-3416	146	14	)	)	PUNCT
ejpam-3416	146	15	ξ2	ξ2	NOUN
ejpam-3416	146	16	≥	≥	NUM
ejpam-3416	146	17	1	1	NUM
ejpam-3416	146	18	.	.	PUNCT
ejpam-3416	147	1	the	the	DET
ejpam-3416	147	2	above	above	ADJ
ejpam-3416	147	3	two	two	NUM
ejpam-3416	147	4	equations	equation	NOUN
ejpam-3416	147	5	for	for	ADP
ejpam-3416	147	6	u⋆1(t	u⋆1(t	ADJ
ejpam-3416	147	7	)	)	PUNCT
ejpam-3416	147	8	and	and	CCONJ
ejpam-3416	147	9	u⋆2(t	u⋆2(t	ADJ
ejpam-3416	147	10	)	)	PUNCT
ejpam-3416	147	11	can	can	AUX
ejpam-3416	147	12	be	be	AUX
ejpam-3416	147	13	written	write	VERB
ejpam-3416	147	14	as	as	ADP
ejpam-3416	147	15	(	(	PUNCT
ejpam-3416	147	16	using	use	VERB
ejpam-3416	147	17	compact	compact	ADJ
ejpam-3416	147	18	notation	notation	NOUN
ejpam-3416	147	19	)	)	PUNCT
ejpam-3416	147	20	u⋆1(t	u⋆1(t	ADJ
ejpam-3416	147	21	)	)	PUNCT
ejpam-3416	148	1	=	=	SYM
ejpam-3416	148	2	max{min	max{min	X
ejpam-3416	148	3	{	{	PUNCT
ejpam-3416	148	4	β	β	X
ejpam-3416	148	5	ξ1	ξ1	NOUN
ejpam-3416	148	6	(	(	PUNCT
ejpam-3416	148	7	λ2(t)e	λ2(t)e	NOUN
ejpam-3416	148	8	−aτx⋆(t−	−aτx⋆(t−	NOUN
ejpam-3416	148	9	τ)v⋆(t−	τ)v⋆(t−	PUNCT
ejpam-3416	148	10	τ))−	τ))−	NUM
ejpam-3416	148	11	λ1(t)x	λ1(t)x	X
ejpam-3416	148	12	⋆(t)v⋆(t	⋆(t)v⋆(t	NOUN
ejpam-3416	148	13	)	)	PUNCT
ejpam-3416	148	14	)	)	PUNCT
ejpam-3416	148	15	,	,	PUNCT
ejpam-3416	148	16	1	1	X
ejpam-3416	148	17	}	}	PUNCT
ejpam-3416	148	18	,	,	PUNCT
ejpam-3416	148	19	0	0	NUM
ejpam-3416	148	20	}	}	PUNCT
ejpam-3416	148	21	,	,	PUNCT
ejpam-3416	148	22	(	(	PUNCT
ejpam-3416	148	23	11	11	NUM
ejpam-3416	148	24	)	)	PUNCT
ejpam-3416	148	25	u⋆2(t	u⋆2(t	ADJ
ejpam-3416	148	26	)	)	PUNCT
ejpam-3416	148	27	=	=	SYM
ejpam-3416	148	28	max{min	max{min	X
ejpam-3416	148	29	{	{	PUNCT
ejpam-3416	148	30	λ4(t)ky	λ4(t)ky	X
ejpam-3416	148	31	⋆(t	⋆(t	PROPN
ejpam-3416	148	32	)	)	PUNCT
ejpam-3416	148	33	ξ2	ξ2	NOUN
ejpam-3416	148	34	,	,	PUNCT
ejpam-3416	148	35	1	1	NUM
ejpam-3416	148	36	}	}	PUNCT
ejpam-3416	148	37	,	,	PUNCT
ejpam-3416	148	38	0	0	NUM
ejpam-3416	148	39	}	}	PUNCT
ejpam-3416	148	40	.	.	PUNCT
ejpam-3416	149	1	(	(	PUNCT
ejpam-3416	149	2	12	12	NUM
ejpam-3416	149	3	)	)	PUNCT
ejpam-3416	149	4	here	here	ADV
ejpam-3416	149	5	,	,	PUNCT
ejpam-3416	149	6	we	we	PRON
ejpam-3416	149	7	call	call	VERB
ejpam-3416	149	8	formula	formula	NOUN
ejpam-3416	149	9	(	(	PUNCT
ejpam-3416	149	10	11	11	NUM
ejpam-3416	149	11	)	)	PUNCT
ejpam-3416	149	12	and	and	CCONJ
ejpam-3416	149	13	(	(	PUNCT
ejpam-3416	149	14	12	12	NUM
ejpam-3416	149	15	)	)	PUNCT
ejpam-3416	149	16	for	for	ADP
ejpam-3416	149	17	u⋆1(t	u⋆1(t	ADJ
ejpam-3416	149	18	)	)	PUNCT
ejpam-3416	149	19	and	and	CCONJ
ejpam-3416	149	20	u⋆2(t	u⋆2(t	ADJ
ejpam-3416	149	21	)	)	PUNCT
ejpam-3416	149	22	,	,	PUNCT
ejpam-3416	149	23	the	the	DET
ejpam-3416	149	24	characterization	characterization	NOUN
ejpam-3416	149	25	of	of	ADP
ejpam-3416	149	26	the	the	DET
ejpam-3416	149	27	optimal	optimal	ADJ
ejpam-3416	149	28	control	control	NOUN
ejpam-3416	149	29	.	.	PUNCT
ejpam-3416	150	1	therefore	therefore	ADV
ejpam-3416	150	2	,	,	PUNCT
ejpam-3416	150	3	we	we	PRON
ejpam-3416	150	4	get	get	VERB
ejpam-3416	150	5	the	the	DET
ejpam-3416	150	6	following	follow	VERB
ejpam-3416	150	7	optimality	optimality	NOUN
ejpam-3416	150	8	system	system	NOUN
ejpam-3416	150	9	.	.	PUNCT
ejpam-3416	151	1	dx⋆(t	dx⋆(t	NOUN
ejpam-3416	151	2	)	)	PUNCT
ejpam-3416	151	3	dt	dt	NOUN
ejpam-3416	152	1	=	=	SYM
ejpam-3416	152	2	λ−	λ−	PROPN
ejpam-3416	152	3	dx⋆(t)−	dx⋆(t)−	PROPN
ejpam-3416	152	4	βx⋆(t)v⋆(t	βx⋆(t)v⋆(t	X
ejpam-3416	152	5	)	)	PUNCT
ejpam-3416	152	6	(	(	PUNCT
ejpam-3416	152	7	1−max{min	1−max{min	NUM
ejpam-3416	152	8	{	{	PUNCT
ejpam-3416	152	9	β	β	X
ejpam-3416	152	10	ξ1	ξ1	NOUN
ejpam-3416	152	11	(	(	PUNCT
ejpam-3416	152	12	λ2(t)e	λ2(t)e	NOUN
ejpam-3416	152	13	−aτx⋆(t−	−aτx⋆(t−	NOUN
ejpam-3416	152	14	τ)v⋆(t−	τ)v⋆(t−	PUNCT
ejpam-3416	152	15	τ	τ	PROPN
ejpam-3416	152	16	)	)	PUNCT
ejpam-3416	152	17	)	)	PUNCT
ejpam-3416	153	1	−	−	PROPN
ejpam-3416	153	2	λ1(t)x	λ1(t)x	SYM
ejpam-3416	153	3	⋆(t)v⋆(t	⋆(t)v⋆(t	NOUN
ejpam-3416	153	4	)	)	PUNCT
ejpam-3416	153	5	)	)	PUNCT
ejpam-3416	154	1	,	,	PUNCT
ejpam-3416	154	2	1	1	X
ejpam-3416	154	3	}	}	PUNCT
ejpam-3416	154	4	,	,	PUNCT
ejpam-3416	154	5	0	0	NUM
ejpam-3416	154	6	}	}	PUNCT
ejpam-3416	154	7	)	)	PUNCT
ejpam-3416	154	8	,	,	PUNCT
ejpam-3416	154	9	dy⋆(t	dy⋆(t	NOUN
ejpam-3416	154	10	)	)	PUNCT
ejpam-3416	154	11	dt	dt	NOUN
ejpam-3416	154	12	=	=	PUNCT
ejpam-3416	154	13	(	(	PUNCT
ejpam-3416	154	14	1−max{min	1−max{min	NUM
ejpam-3416	154	15	{	{	PUNCT
ejpam-3416	154	16	β	β	X
ejpam-3416	154	17	ξ1	ξ1	NOUN
ejpam-3416	154	18	(	(	PUNCT
ejpam-3416	154	19	λ2(t)e	λ2(t)e	NOUN
ejpam-3416	154	20	−aτx⋆(t−	−aτx⋆(t−	NOUN
ejpam-3416	154	21	τ)v⋆(t−	τ)v⋆(t−	PUNCT
ejpam-3416	154	22	τ	τ	PROPN
ejpam-3416	154	23	)	)	PUNCT
ejpam-3416	154	24	)	)	PUNCT
ejpam-3416	155	1	−	−	PROPN
ejpam-3416	155	2	λ1(t)x	λ1(t)x	SYM
ejpam-3416	155	3	⋆(t)v⋆(t	⋆(t)v⋆(t	NOUN
ejpam-3416	155	4	)	)	PUNCT
ejpam-3416	155	5	)	)	PUNCT
ejpam-3416	156	1	,	,	PUNCT
ejpam-3416	156	2	1	1	X
ejpam-3416	156	3	}	}	PUNCT
ejpam-3416	156	4	,	,	PUNCT
ejpam-3416	156	5	0	0	NUM
ejpam-3416	156	6	}	}	PUNCT
ejpam-3416	156	7	)	)	PUNCT
ejpam-3416	156	8	βx⋆(t−	βx⋆(t−	PUNCT
ejpam-3416	156	9	τ)v⋆(t−	τ)v⋆(t−	PUNCT
ejpam-3416	157	1	τ)−	τ)−	PROPN
ejpam-3416	157	2	ay⋆(t)−	ay⋆(t)−	PROPN
ejpam-3416	157	3	αw⋆(t)y⋆(t	αw⋆(t)y⋆(t	NUM
ejpam-3416	157	4	)	)	PUNCT
ejpam-3416	157	5	,	,	PUNCT
ejpam-3416	157	6	dz⋆(t	dz⋆(t	NOUN
ejpam-3416	157	7	)	)	PUNCT
ejpam-3416	157	8	dt	dt	NOUN
ejpam-3416	157	9	=	=	SYM
ejpam-3416	157	10	αy⋆(t)w⋆(t)−	αy⋆(t)w⋆(t)−	PROPN
ejpam-3416	157	11	bz⋆(t	bz⋆(t	NUM
ejpam-3416	157	12	)	)	PUNCT
ejpam-3416	157	13	,	,	PUNCT
ejpam-3416	157	14	dv⋆(t	dv⋆(t	NOUN
ejpam-3416	157	15	)	)	PUNCT
ejpam-3416	157	16	dt	dt	NOUN
ejpam-3416	157	17	=	=	SYM
ejpam-3416	157	18	k(1−max{min	k(1−max{min	X
ejpam-3416	157	19	{	{	PUNCT
ejpam-3416	157	20	λ4y	λ4y	NOUN
ejpam-3416	157	21	⋆(t	⋆(t	PROPN
ejpam-3416	157	22	)	)	PUNCT
ejpam-3416	157	23	ξ2	ξ2	NOUN
ejpam-3416	157	24	,	,	PUNCT
ejpam-3416	157	25	1	1	NUM
ejpam-3416	157	26	}	}	PUNCT
ejpam-3416	157	27	,	,	PUNCT
ejpam-3416	157	28	0})y⋆(t)−	0})y⋆(t)−	PUNCT
ejpam-3416	157	29	pv⋆(t	pv⋆(t	NOUN
ejpam-3416	157	30	)	)	PUNCT
ejpam-3416	157	31	,	,	PUNCT
ejpam-3416	157	32	dw⋆(t	dw⋆(t	NOUN
ejpam-3416	157	33	)	)	PUNCT
ejpam-3416	157	34	dt	dt	NOUN
ejpam-3416	158	1	=	=	SYM
ejpam-3416	158	2	cz⋆(t)−	cz⋆(t)−	PROPN
ejpam-3416	158	3	qw⋆(t	qw⋆(t	NUM
ejpam-3416	158	4	)	)	PUNCT
ejpam-3416	158	5	,	,	PUNCT
ejpam-3416	158	6	(	(	PUNCT
ejpam-3416	158	7	13	13	NUM
ejpam-3416	158	8	)	)	PUNCT
ejpam-3416	158	9	n.ali	n.ali	PROPN
ejpam-3416	158	10	,	,	PUNCT
ejpam-3416	158	11	m.i	m.i	PROPN
ejpam-3416	158	12	.	.	PROPN
ejpam-3416	158	13	chohan	chohan	PROPN
ejpam-3416	158	14	,	,	PUNCT
ejpam-3416	158	15	g.	g.	PROPN
ejpam-3416	158	16	zaman	zaman	PROPN
ejpam-3416	158	17	/	/	SYM
ejpam-3416	158	18	eur	eur	PROPN
ejpam-3416	158	19	.	.	PUNCT
ejpam-3416	159	1	j.	j.	PROPN
ejpam-3416	159	2	pure	pure	PROPN
ejpam-3416	159	3	appl	appl	PROPN
ejpam-3416	159	4	.	.	PROPN
ejpam-3416	159	5	math	math	PROPN
ejpam-3416	159	6	,	,	PUNCT
ejpam-3416	159	7	12	12	NUM
ejpam-3416	159	8	(	(	PUNCT
ejpam-3416	159	9	2	2	NUM
ejpam-3416	159	10	)	)	PUNCT
ejpam-3416	159	11	(	(	PUNCT
ejpam-3416	159	12	2019	2019	NUM
ejpam-3416	159	13	)	)	PUNCT
ejpam-3416	159	14	,	,	PUNCT
ejpam-3416	159	15	506	506	NUM
ejpam-3416	159	16	-	-	SYM
ejpam-3416	159	17	518	518	NUM
ejpam-3416	159	18	513	513	NUM
ejpam-3416	159	19	along	along	ADP
ejpam-3416	159	20	with	with	ADP
ejpam-3416	159	21	equations	equation	NOUN
ejpam-3416	159	22	(	(	PUNCT
ejpam-3416	159	23	2	2	NUM
ejpam-3416	159	24	)	)	PUNCT
ejpam-3416	159	25	and	and	CCONJ
ejpam-3416	159	26	(	(	PUNCT
ejpam-3416	159	27	6	6	NUM
ejpam-3416	159	28	)	)	PUNCT
ejpam-3416	159	29	,	,	PUNCT
ejpam-3416	159	30	and	and	CCONJ
ejpam-3416	159	31	hamiltonian	hamiltonian	NOUN
ejpam-3416	159	32	h⋆	h⋆	X
ejpam-3416	159	33	at	at	ADP
ejpam-3416	159	34	(	(	PUNCT
ejpam-3416	159	35	x⋆	x⋆	ADJ
ejpam-3416	159	36	,	,	PUNCT
ejpam-3416	159	37	y⋆	y⋆	NOUN
ejpam-3416	159	38	,	,	PUNCT
ejpam-3416	159	39	z⋆	z⋆	NOUN
ejpam-3416	159	40	,	,	PUNCT
ejpam-3416	159	41	v⋆	v⋆	NOUN
ejpam-3416	159	42	,	,	PUNCT
ejpam-3416	159	43	w⋆	w⋆	X
ejpam-3416	159	44	,	,	PUNCT
ejpam-3416	159	45	x⋆τ	x⋆τ	PROPN
ejpam-3416	159	46	,	,	PUNCT
ejpam-3416	159	47	v	v	X
ejpam-3416	159	48	⋆	⋆	X
ejpam-3416	159	49	τ	τ	PROPN
ejpam-3416	159	50	,	,	PUNCT
ejpam-3416	159	51	u	u	NOUN
ejpam-3416	159	52	⋆	⋆	PUNCT
ejpam-3416	159	53	1	1	NUM
ejpam-3416	159	54	,	,	PUNCT
ejpam-3416	159	55	u	u	NOUN
ejpam-3416	159	56	⋆	⋆	VERB
ejpam-3416	159	57	2	2	NUM
ejpam-3416	159	58	,	,	PUNCT
ejpam-3416	159	59	λ1	λ1	ADJ
ejpam-3416	159	60	,	,	PUNCT
ejpam-3416	159	61	λ1	λ1	ADJ
ejpam-3416	159	62	,	,	PUNCT
ejpam-3416	159	63	λ2	λ2	PROPN
ejpam-3416	159	64	,	,	PUNCT
ejpam-3416	159	65	λ3	λ3	PROPN
ejpam-3416	159	66	,	,	PUNCT
ejpam-3416	159	67	λ4	λ4	PROPN
ejpam-3416	159	68	,	,	PUNCT
ejpam-3416	159	69	λ5	λ5	NOUN
ejpam-3416	159	70	,	,	PUNCT
ejpam-3416	159	71	)	)	PUNCT
ejpam-3416	159	72	h⋆(t	h⋆(t	PROPN
ejpam-3416	159	73	)	)	PUNCT
ejpam-3416	159	74	=	=	SYM
ejpam-3416	159	75	1	1	NUM
ejpam-3416	159	76	2	2	NUM
ejpam-3416	159	77	(	(	PUNCT
ejpam-3416	159	78	ξ1(max{min	ξ1(max{min	NOUN
ejpam-3416	159	79	{	{	PUNCT
ejpam-3416	159	80	β	β	X
ejpam-3416	159	81	ξ1	ξ1	NOUN
ejpam-3416	159	82	(	(	PUNCT
ejpam-3416	159	83	λ2(t)e	λ2(t)e	NOUN
ejpam-3416	159	84	−aτx⋆(t−	−aτx⋆(t−	NOUN
ejpam-3416	159	85	τ)v⋆(t−	τ)v⋆(t−	PUNCT
ejpam-3416	159	86	τ))−	τ))−	NUM
ejpam-3416	159	87	λ1(t)x	λ1(t)x	X
ejpam-3416	159	88	⋆(t)v⋆(t	⋆(t)v⋆(t	NOUN
ejpam-3416	159	89	)	)	PUNCT
ejpam-3416	159	90	)	)	PUNCT
ejpam-3416	159	91	,	,	PUNCT
ejpam-3416	159	92	1	1	X
ejpam-3416	159	93	}	}	PUNCT
ejpam-3416	159	94	,	,	PUNCT
ejpam-3416	159	95	0})2	0})2	NUM
ejpam-3416	160	1	+	+	CCONJ
ejpam-3416	161	1	ξ2(max{min	ξ2(max{min	ADJ
ejpam-3416	161	2	{	{	PUNCT
ejpam-3416	161	3	λ4(t)ky	λ4(t)ky	NUM
ejpam-3416	161	4	⋆(t	⋆(t	PROPN
ejpam-3416	161	5	)	)	PUNCT
ejpam-3416	161	6	ξ2	ξ2	NOUN
ejpam-3416	161	7	,	,	PUNCT
ejpam-3416	161	8	1	1	NUM
ejpam-3416	161	9	}	}	PUNCT
ejpam-3416	161	10	,	,	PUNCT
ejpam-3416	161	11	0})2	0})2	NUM
ejpam-3416	161	12	)	)	PUNCT
ejpam-3416	162	1	−	−	PROPN
ejpam-3416	162	2	ρ1x	ρ1x	NUM
ejpam-3416	162	3	⋆(t)−	⋆(t)−	X
ejpam-3416	162	4	ρ2w	ρ2w	PROPN
ejpam-3416	162	5	⋆(t	⋆(t	PROPN
ejpam-3416	162	6	)	)	PUNCT
ejpam-3416	162	7	+	+	SYM
ejpam-3416	162	8	λ1	λ1	PROPN
ejpam-3416	162	9	[	[	PUNCT
ejpam-3416	162	10	λ−	λ−	PROPN
ejpam-3416	162	11	dx⋆(t	dx⋆(t	NOUN
ejpam-3416	162	12	)	)	PUNCT
ejpam-3416	162	13	−	−	PROPN
ejpam-3416	162	14	(	(	PUNCT
ejpam-3416	162	15	1−max{min	1−max{min	NUM
ejpam-3416	162	16	{	{	PUNCT
ejpam-3416	162	17	β	β	X
ejpam-3416	162	18	ξ1	ξ1	NOUN
ejpam-3416	162	19	(	(	PUNCT
ejpam-3416	162	20	λ2(t)e	λ2(t)e	NOUN
ejpam-3416	162	21	−aτx⋆(t−	−aτx⋆(t−	NOUN
ejpam-3416	162	22	τ)v⋆(t−	τ)v⋆(t−	PUNCT
ejpam-3416	162	23	τ))−	τ))−	NUM
ejpam-3416	162	24	λ1(t)x	λ1(t)x	X
ejpam-3416	162	25	⋆(t)v⋆(t	⋆(t)v⋆(t	NOUN
ejpam-3416	162	26	)	)	PUNCT
ejpam-3416	162	27	)	)	PUNCT
ejpam-3416	162	28	,	,	PUNCT
ejpam-3416	162	29	1	1	X
ejpam-3416	162	30	}	}	PUNCT
ejpam-3416	162	31	,	,	PUNCT
ejpam-3416	162	32	0	0	NUM
ejpam-3416	162	33	}	}	PUNCT
ejpam-3416	162	34	)	)	PUNCT
ejpam-3416	162	35	βx⋆(t)v⋆(t	βx⋆(t)v⋆(t	X
ejpam-3416	162	36	)	)	PUNCT
ejpam-3416	162	37	]	]	PUNCT
ejpam-3416	163	1	+	+	PUNCT
ejpam-3416	163	2	λ2	λ2	NOUN
ejpam-3416	163	3	[	[	PUNCT
ejpam-3416	163	4	(	(	PUNCT
ejpam-3416	163	5	1−max{min	1−max{min	NUM
ejpam-3416	163	6	{	{	PUNCT
ejpam-3416	163	7	β	β	X
ejpam-3416	163	8	ξ1	ξ1	NOUN
ejpam-3416	163	9	(	(	PUNCT
ejpam-3416	163	10	λ2(t)e	λ2(t)e	NOUN
ejpam-3416	163	11	−aτx⋆(t−	−aτx⋆(t−	NOUN
ejpam-3416	163	12	τ)v⋆(t−	τ)v⋆(t−	PUNCT
ejpam-3416	163	13	τ	τ	PROPN
ejpam-3416	163	14	)	)	PUNCT
ejpam-3416	163	15	)	)	PUNCT
ejpam-3416	164	1	−	−	PROPN
ejpam-3416	164	2	λ1(t)x	λ1(t)x	SYM
ejpam-3416	164	3	⋆(t)v⋆(t	⋆(t)v⋆(t	NOUN
ejpam-3416	164	4	)	)	PUNCT
ejpam-3416	164	5	)	)	PUNCT
ejpam-3416	165	1	,	,	PUNCT
ejpam-3416	165	2	1	1	X
ejpam-3416	165	3	}	}	PUNCT
ejpam-3416	165	4	,	,	PUNCT
ejpam-3416	165	5	0	0	NUM
ejpam-3416	165	6	}	}	PUNCT
ejpam-3416	165	7	)	)	PUNCT
ejpam-3416	166	1	βe−aτx⋆(t−	βe−aτx⋆(t−	X
ejpam-3416	166	2	τ)v⋆(t−	τ)v⋆(t−	PUNCT
ejpam-3416	167	1	τ)−	τ)−	PROPN
ejpam-3416	167	2	ay⋆(t)−	ay⋆(t)−	PROPN
ejpam-3416	167	3	αw⋆(t)y⋆(t	αw⋆(t)y⋆(t	NUM
ejpam-3416	167	4	)	)	PUNCT
ejpam-3416	167	5	]	]	PUNCT
ejpam-3416	168	1	+	+	CCONJ
ejpam-3416	168	2	λ3	λ3	PROPN
ejpam-3416	168	3	[	[	PUNCT
ejpam-3416	168	4	αw⋆(t)y⋆(t)−	αw⋆(t)y⋆(t)−	PROPN
ejpam-3416	168	5	bz⋆(t	bz⋆(t	NUM
ejpam-3416	168	6	)	)	PUNCT
ejpam-3416	168	7	]	]	PUNCT
ejpam-3416	169	1	+	+	CCONJ
ejpam-3416	169	2	λ4	λ4	PROPN
ejpam-3416	169	3	[	[	PUNCT
ejpam-3416	169	4	k	k	X
ejpam-3416	169	5	(	(	PUNCT
ejpam-3416	169	6	1−max{min	1−max{min	NUM
ejpam-3416	169	7	{	{	PUNCT
ejpam-3416	169	8	λ4(t)ky	λ4(t)ky	NUM
ejpam-3416	169	9	⋆(t	⋆(t	PROPN
ejpam-3416	169	10	)	)	PUNCT
ejpam-3416	169	11	ξ2	ξ2	NOUN
ejpam-3416	169	12	,	,	PUNCT
ejpam-3416	169	13	1	1	NUM
ejpam-3416	169	14	}	}	PUNCT
ejpam-3416	169	15	,	,	PUNCT
ejpam-3416	169	16	0	0	NUM
ejpam-3416	169	17	}	}	PUNCT
ejpam-3416	169	18	)	)	PUNCT
ejpam-3416	169	19	y⋆(t)−	y⋆(t)−	PROPN
ejpam-3416	169	20	pv⋆(t	pv⋆(t	PROPN
ejpam-3416	169	21	)	)	PUNCT
ejpam-3416	169	22	]	]	PUNCT
ejpam-3416	170	1	+	+	CCONJ
ejpam-3416	170	2	λ5	λ5	NOUN
ejpam-3416	170	3	[	[	PUNCT
ejpam-3416	170	4	cz⋆(t)−	cz⋆(t)−	PROPN
ejpam-3416	170	5	qw⋆(t	qw⋆(t	NUM
ejpam-3416	170	6	)	)	PUNCT
ejpam-3416	170	7	]	]	PUNCT
ejpam-3416	170	8	.	.	PUNCT
ejpam-3416	171	1	(	(	PUNCT
ejpam-3416	171	2	14	14	NUM
ejpam-3416	171	3	)	)	PUNCT
ejpam-3416	171	4	to	to	PART
ejpam-3416	171	5	find	find	VERB
ejpam-3416	171	6	out	out	ADP
ejpam-3416	171	7	the	the	DET
ejpam-3416	171	8	optimal	optimal	ADJ
ejpam-3416	171	9	control	control	NOUN
ejpam-3416	171	10	and	and	CCONJ
ejpam-3416	171	11	state	state	NOUN
ejpam-3416	171	12	variables	variable	NOUN
ejpam-3416	171	13	,	,	PUNCT
ejpam-3416	171	14	we	we	PRON
ejpam-3416	171	15	will	will	AUX
ejpam-3416	171	16	solve	solve	VERB
ejpam-3416	171	17	numerically	numerically	ADV
ejpam-3416	171	18	the	the	DET
ejpam-3416	171	19	above	above	ADJ
ejpam-3416	171	20	system	system	NOUN
ejpam-3416	171	21	(	(	PUNCT
ejpam-3416	171	22	13	13	NUM
ejpam-3416	171	23	)	)	PUNCT
ejpam-3416	171	24	and	and	CCONJ
ejpam-3416	171	25	(	(	PUNCT
ejpam-3416	171	26	14	14	NUM
ejpam-3416	171	27	)	)	PUNCT
ejpam-3416	171	28	.	.	PUNCT
ejpam-3416	172	1	3	3	X
ejpam-3416	172	2	.	.	X
ejpam-3416	172	3	numerical	numerical	PROPN
ejpam-3416	172	4	simulation	simulation	PROPN
ejpam-3416	172	5	in	in	ADP
ejpam-3416	172	6	this	this	DET
ejpam-3416	172	7	section	section	NOUN
ejpam-3416	172	8	,	,	PUNCT
ejpam-3416	172	9	we	we	PRON
ejpam-3416	172	10	present	present	VERB
ejpam-3416	172	11	numerical	numerical	ADJ
ejpam-3416	172	12	results	result	NOUN
ejpam-3416	172	13	of	of	ADP
ejpam-3416	172	14	the	the	DET
ejpam-3416	172	15	optimal	optimal	ADJ
ejpam-3416	172	16	control	control	NOUN
ejpam-3416	172	17	problem	problem	NOUN
ejpam-3416	172	18	.	.	PUNCT
ejpam-3416	173	1	we	we	PRON
ejpam-3416	173	2	solve	solve	VERB
ejpam-3416	173	3	the	the	DET
ejpam-3416	173	4	state	state	NOUN
ejpam-3416	173	5	system	system	NOUN
ejpam-3416	173	6	forward	forward	ADV
ejpam-3416	173	7	in	in	ADP
ejpam-3416	173	8	time	time	NOUN
ejpam-3416	173	9	by	by	ADP
ejpam-3416	173	10	runge	runge	NOUN
ejpam-3416	173	11	-	-	PUNCT
ejpam-3416	173	12	kutta	kutta	NOUN
ejpam-3416	173	13	fourth	fourth	ADJ
ejpam-3416	173	14	order	order	NOUN
ejpam-3416	173	15	scheme	scheme	NOUN
ejpam-3416	173	16	and	and	CCONJ
ejpam-3416	173	17	the	the	DET
ejpam-3416	173	18	adjoint	adjoint	NOUN
ejpam-3416	173	19	system	system	NOUN
ejpam-3416	173	20	by	by	ADP
ejpam-3416	173	21	backward	backward	ADJ
ejpam-3416	173	22	fourth	fourth	ADJ
ejpam-3416	173	23	order	order	NOUN
ejpam-3416	173	24	scheme	scheme	NOUN
ejpam-3416	173	25	.	.	PUNCT
ejpam-3416	174	1	we	we	PRON
ejpam-3416	174	2	illustrate	illustrate	VERB
ejpam-3416	174	3	a	a	DET
ejpam-3416	174	4	case	case	NOUN
ejpam-3416	174	5	for	for	ADP
ejpam-3416	174	6	two	two	NUM
ejpam-3416	174	7	different	different	ADJ
ejpam-3416	174	8	values	value	NOUN
ejpam-3416	174	9	for	for	ADP
ejpam-3416	174	10	50	50	NUM
ejpam-3416	174	11	-	-	PUNCT
ejpam-3416	174	12	day	day	NOUN
ejpam-3416	174	13	treatment	treatment	NOUN
ejpam-3416	174	14	schedule	schedule	NOUN
ejpam-3416	174	15	.	.	PUNCT
ejpam-3416	175	1	some	some	PRON
ejpam-3416	175	2	of	of	ADP
ejpam-3416	175	3	the	the	DET
ejpam-3416	175	4	parameter	parameter	NOUN
ejpam-3416	175	5	values	value	NOUN
ejpam-3416	175	6	are	be	AUX
ejpam-3416	175	7	considered	consider	VERB
ejpam-3416	175	8	from	from	ADP
ejpam-3416	175	9	real	real	ADJ
ejpam-3416	175	10	data	datum	NOUN
ejpam-3416	175	11	(	(	PUNCT
ejpam-3416	175	12	see	see	VERB
ejpam-3416	175	13	for	for	ADP
ejpam-3416	175	14	more	more	ADJ
ejpam-3416	175	15	detail	detail	NOUN
ejpam-3416	175	16	references	reference	NOUN
ejpam-3416	175	17	[	[	X
ejpam-3416	175	18	1–3	1–3	NOUN
ejpam-3416	175	19	]	]	PUNCT
ejpam-3416	175	20	)	)	PUNCT
ejpam-3416	175	21	and	and	CCONJ
ejpam-3416	175	22	some	some	PRON
ejpam-3416	175	23	are	be	AUX
ejpam-3416	175	24	estimated	estimate	VERB
ejpam-3416	175	25	.	.	PUNCT
ejpam-3416	176	1	the	the	DET
ejpam-3416	176	2	given	give	VERB
ejpam-3416	176	3	figures	figure	NOUN
ejpam-3416	176	4	(	(	PUNCT
ejpam-3416	176	5	1	1	NUM
ejpam-3416	176	6	−	−	NOUN
ejpam-3416	176	7	6	6	NUM
ejpam-3416	176	8	)	)	PUNCT
ejpam-3416	176	9	are	be	AUX
ejpam-3416	176	10	the	the	DET
ejpam-3416	176	11	simulation	simulation	NOUN
ejpam-3416	176	12	results	result	NOUN
ejpam-3416	176	13	of	of	ADP
ejpam-3416	176	14	our	our	PRON
ejpam-3416	176	15	proved	prove	VERB
ejpam-3416	176	16	theoretical	theoretical	ADJ
ejpam-3416	176	17	results	result	NOUN
ejpam-3416	176	18	.	.	PUNCT
ejpam-3416	177	1	we	we	PRON
ejpam-3416	177	2	can	can	AUX
ejpam-3416	177	3	make	make	VERB
ejpam-3416	177	4	some	some	DET
ejpam-3416	177	5	decisions	decision	NOUN
ejpam-3416	177	6	on	on	ADP
ejpam-3416	177	7	the	the	DET
ejpam-3416	177	8	potency	potency	NOUN
ejpam-3416	177	9	of	of	ADP
ejpam-3416	177	10	drug	drug	NOUN
ejpam-3416	177	11	therapies	therapy	NOUN
ejpam-3416	177	12	based	base	VERB
ejpam-3416	177	13	on	on	ADP
ejpam-3416	177	14	the	the	DET
ejpam-3416	177	15	densities	density	NOUN
ejpam-3416	177	16	of	of	ADP
ejpam-3416	177	17	uninfected	uninfected	ADJ
ejpam-3416	177	18	cells	cell	NOUN
ejpam-3416	177	19	,	,	PUNCT
ejpam-3416	177	20	infected	infected	ADJ
ejpam-3416	177	21	cells	cell	NOUN
ejpam-3416	177	22	,	,	PUNCT
ejpam-3416	177	23	double	double	ADJ
ejpam-3416	177	24	infected	infected	ADJ
ejpam-3416	177	25	cells	cell	NOUN
ejpam-3416	177	26	,	,	PUNCT
ejpam-3416	177	27	free	free	ADJ
ejpam-3416	177	28	virus	virus	NOUN
ejpam-3416	177	29	and	and	CCONJ
ejpam-3416	177	30	recombinant	recombinant	ADJ
ejpam-3416	177	31	virus	virus	NOUN
ejpam-3416	177	32	.	.	PUNCT
ejpam-3416	178	1	we	we	PRON
ejpam-3416	178	2	considered	consider	VERB
ejpam-3416	178	3	70	70	NUM
ejpam-3416	178	4	-	-	PUNCT
ejpam-3416	178	5	day	day	NOUN
ejpam-3416	178	6	treatment	treatment	NOUN
ejpam-3416	178	7	and	and	CCONJ
ejpam-3416	178	8	the	the	DET
ejpam-3416	178	9	following	follow	VERB
ejpam-3416	178	10	were	be	AUX
ejpam-3416	178	11	observed	observe	VERB
ejpam-3416	178	12	.	.	PUNCT
ejpam-3416	179	1	after	after	ADP
ejpam-3416	179	2	some	some	DET
ejpam-3416	179	3	time	time	NOUN
ejpam-3416	179	4	,	,	PUNCT
ejpam-3416	179	5	the	the	DET
ejpam-3416	179	6	number	number	NOUN
ejpam-3416	179	7	of	of	ADP
ejpam-3416	179	8	t	t	PROPN
ejpam-3416	179	9	cells	cell	NOUN
ejpam-3416	179	10	consistently	consistently	ADV
ejpam-3416	179	11	increased	increase	VERB
ejpam-3416	179	12	throughout	throughout	ADP
ejpam-3416	179	13	the	the	DET
ejpam-3416	179	14	treatment	treatment	NOUN
ejpam-3416	179	15	period	period	NOUN
ejpam-3416	179	16	,	,	PUNCT
ejpam-3416	179	17	the	the	DET
ejpam-3416	179	18	actively	actively	ADV
ejpam-3416	179	19	infected	infected	ADJ
ejpam-3416	179	20	cells	cell	NOUN
ejpam-3416	179	21	and	and	CCONJ
ejpam-3416	179	22	the	the	DET
ejpam-3416	179	23	viral	viral	ADJ
ejpam-3416	179	24	load	load	NOUN
ejpam-3416	179	25	all	all	PRON
ejpam-3416	179	26	decreased	decrease	VERB
ejpam-3416	179	27	till	till	SCONJ
ejpam-3416	179	28	the	the	DET
ejpam-3416	179	29	end	end	NOUN
ejpam-3416	179	30	of	of	ADP
ejpam-3416	179	31	the	the	DET
ejpam-3416	179	32	treatment	treatment	NOUN
ejpam-3416	179	33	period	period	NOUN
ejpam-3416	179	34	.	.	PUNCT
ejpam-3416	180	1	fig	fig	NOUN
ejpam-3416	180	2	1	1	NUM
ejpam-3416	180	3	represents	represent	VERB
ejpam-3416	180	4	the	the	DET
ejpam-3416	180	5	concentration	concentration	NOUN
ejpam-3416	180	6	of	of	ADP
ejpam-3416	180	7	t	t	NOUN
ejpam-3416	180	8	cells	cell	NOUN
ejpam-3416	180	9	during	during	ADP
ejpam-3416	180	10	the	the	DET
ejpam-3416	180	11	proposed	propose	VERB
ejpam-3416	180	12	treatment	treatment	NOUN
ejpam-3416	180	13	period	period	NOUN
ejpam-3416	180	14	.	.	PUNCT
ejpam-3416	181	1	the	the	DET
ejpam-3416	181	2	t	t	PROPN
ejpam-3416	181	3	cell	cell	NOUN
ejpam-3416	181	4	population	population	NOUN
ejpam-3416	181	5	decreases	decrease	VERB
ejpam-3416	181	6	up	up	ADP
ejpam-3416	181	7	to	to	ADP
ejpam-3416	181	8	some	some	DET
ejpam-3416	181	9	time	time	NOUN
ejpam-3416	181	10	,	,	PUNCT
ejpam-3416	181	11	but	but	CCONJ
ejpam-3416	181	12	increases	increase	NOUN
ejpam-3416	181	13	after	after	ADP
ejpam-3416	181	14	treatment	treatment	NOUN
ejpam-3416	181	15	.	.	PUNCT
ejpam-3416	182	1	the	the	DET
ejpam-3416	182	2	concentration	concentration	NOUN
ejpam-3416	182	3	of	of	ADP
ejpam-3416	182	4	t	t	NOUN
ejpam-3416	182	5	cells	cell	NOUN
ejpam-3416	182	6	increases	increase	VERB
ejpam-3416	182	7	in	in	ADP
ejpam-3416	182	8	a	a	DET
ejpam-3416	182	9	logistic	logistic	ADJ
ejpam-3416	182	10	way	way	NOUN
ejpam-3416	182	11	.	.	PUNCT
ejpam-3416	183	1	however	however	ADV
ejpam-3416	183	2	,	,	PUNCT
ejpam-3416	183	3	for	for	ADP
ejpam-3416	183	4	a	a	DET
ejpam-3416	183	5	higher	high	ADJ
ejpam-3416	183	6	systemic	systemic	ADJ
ejpam-3416	183	7	cost	cost	NOUN
ejpam-3416	183	8	,	,	PUNCT
ejpam-3416	183	9	the	the	DET
ejpam-3416	183	10	t	t	NOUN
ejpam-3416	183	11	cell	cell	NOUN
ejpam-3416	183	12	population	population	NOUN
ejpam-3416	183	13	increases	increase	VERB
ejpam-3416	183	14	at	at	ADP
ejpam-3416	183	15	a	a	DET
ejpam-3416	183	16	slower	slow	ADJ
ejpam-3416	183	17	rate	rate	NOUN
ejpam-3416	183	18	.	.	PUNCT
ejpam-3416	184	1	with	with	ADP
ejpam-3416	184	2	both	both	DET
ejpam-3416	184	3	weight	weight	NOUN
ejpam-3416	184	4	factors	factor	NOUN
ejpam-3416	184	5	,	,	PUNCT
ejpam-3416	184	6	the	the	DET
ejpam-3416	184	7	maximal	maximal	ADJ
ejpam-3416	184	8	chemotherapy	chemotherapy	NOUN
ejpam-3416	184	9	is	be	AUX
ejpam-3416	184	10	given	give	VERB
ejpam-3416	184	11	for	for	ADP
ejpam-3416	184	12	about	about	ADV
ejpam-3416	184	13	the	the	DET
ejpam-3416	184	14	20	20	NUM
ejpam-3416	184	15	days	day	NOUN
ejpam-3416	184	16	.	.	PUNCT
ejpam-3416	185	1	therefore	therefore	ADV
ejpam-3416	185	2	,	,	PUNCT
ejpam-3416	185	3	for	for	ADP
ejpam-3416	185	4	the	the	DET
ejpam-3416	185	5	higher	high	ADJ
ejpam-3416	185	6	systemic	systemic	ADJ
ejpam-3416	185	7	cost	cost	NOUN
ejpam-3416	185	8	,	,	PUNCT
ejpam-3416	185	9	the	the	DET
ejpam-3416	185	10	optimal	optimal	ADJ
ejpam-3416	185	11	chemotherapy	chemotherapy	NOUN
ejpam-3416	185	12	given	give	VERB
ejpam-3416	185	13	produces	produce	VERB
ejpam-3416	185	14	a	a	DET
ejpam-3416	185	15	lower	low	ADJ
ejpam-3416	185	16	t	t	NOUN
ejpam-3416	185	17	cell	cell	NOUN
ejpam-3416	185	18	concentration	concentration	NOUN
ejpam-3416	185	19	and	and	CCONJ
ejpam-3416	185	20	a	a	DET
ejpam-3416	185	21	higher	high	ADJ
ejpam-3416	185	22	virus	virus	NOUN
ejpam-3416	185	23	concentration	concentration	NOUN
ejpam-3416	185	24	.	.	PUNCT
ejpam-3416	186	1	(	(	PUNCT
ejpam-3416	186	2	fig	fig	NOUN
ejpam-3416	186	3	2	2	X
ejpam-3416	186	4	)	)	PUNCT
ejpam-3416	186	5	shows	show	VERB
ejpam-3416	186	6	that	that	SCONJ
ejpam-3416	186	7	the	the	DET
ejpam-3416	186	8	number	number	NOUN
ejpam-3416	186	9	of	of	ADP
ejpam-3416	186	10	infected	infected	ADJ
ejpam-3416	186	11	cells	cell	NOUN
ejpam-3416	186	12	approaches	approach	NOUN
ejpam-3416	186	13	to	to	ADP
ejpam-3416	186	14	a	a	DET
ejpam-3416	186	15	very	very	ADV
ejpam-3416	186	16	small	small	ADJ
ejpam-3416	186	17	number	number	NOUN
ejpam-3416	186	18	after	after	ADP
ejpam-3416	186	19	treatment	treatment	NOUN
ejpam-3416	186	20	,	,	PUNCT
ejpam-3416	186	21	n.ali	n.ali	PROPN
ejpam-3416	186	22	,	,	PUNCT
ejpam-3416	186	23	m.i	m.i	PROPN
ejpam-3416	186	24	.	.	PROPN
ejpam-3416	186	25	chohan	chohan	PROPN
ejpam-3416	186	26	,	,	PUNCT
ejpam-3416	186	27	g.	g.	PROPN
ejpam-3416	186	28	zaman	zaman	PROPN
ejpam-3416	186	29	/	/	SYM
ejpam-3416	186	30	eur	eur	PROPN
ejpam-3416	186	31	.	.	PUNCT
ejpam-3416	187	1	j.	j.	PROPN
ejpam-3416	187	2	pure	pure	PROPN
ejpam-3416	187	3	appl	appl	PROPN
ejpam-3416	187	4	.	.	PROPN
ejpam-3416	187	5	math	math	PROPN
ejpam-3416	187	6	,	,	PUNCT
ejpam-3416	187	7	12	12	NUM
ejpam-3416	187	8	(	(	PUNCT
ejpam-3416	187	9	2	2	NUM
ejpam-3416	187	10	)	)	PUNCT
ejpam-3416	187	11	(	(	PUNCT
ejpam-3416	187	12	2019	2019	NUM
ejpam-3416	187	13	)	)	PUNCT
ejpam-3416	187	14	,	,	PUNCT
ejpam-3416	187	15	506	506	NUM
ejpam-3416	187	16	-	-	SYM
ejpam-3416	187	17	518	518	NUM
ejpam-3416	187	18	514	514	NUM
ejpam-3416	187	19	0	0	NUM
ejpam-3416	187	20	2	2	NUM
ejpam-3416	187	21	4	4	NUM
ejpam-3416	187	22	6	6	NUM
ejpam-3416	187	23	8	8	NUM
ejpam-3416	187	24	10	10	NUM
ejpam-3416	187	25	0	0	NUM
ejpam-3416	187	26	1	1	NUM
ejpam-3416	187	27	2	2	NUM
ejpam-3416	187	28	3	3	NUM
ejpam-3416	187	29	4	4	NUM
ejpam-3416	187	30	5	5	NUM
ejpam-3416	187	31	6	6	NUM
ejpam-3416	187	32	time(weeks	time(week	NOUN
ejpam-3416	187	33	)	)	PUNCT
ejpam-3416	188	1	d	d	X
ejpam-3416	188	2	e	e	NOUN
ejpam-3416	188	3	n	n	NOUN
ejpam-3416	188	4	si	si	INTJ
ejpam-3416	188	5	ty	ty	INTJ
ejpam-3416	188	6	o	o	X
ejpam-3416	188	7	f	f	X
ejpam-3416	188	8	u	u	PROPN
ejpam-3416	188	9	n	n	X
ejpam-3416	188	10	in	in	ADP
ejpam-3416	188	11	fe	fe	X
ejpam-3416	188	12	ct	ct	X
ejpam-3416	188	13	e	e	PROPN
ejpam-3416	188	14	d	d	X
ejpam-3416	188	15	c	c	PROPN
ejpam-3416	188	16	e	e	NOUN
ejpam-3416	188	17	lls	ll	VERB
ejpam-3416	188	18	control	control	NOUN
ejpam-3416	188	19	in	in	ADP
ejpam-3416	188	20	the	the	DET
ejpam-3416	188	21	uninfected	uninfected	ADJ
ejpam-3416	188	22	cells	cell	NOUN
ejpam-3416	188	23	w/o	w/o	ADP
ejpam-3416	188	24	control	control	NOUN
ejpam-3416	188	25	with	with	ADP
ejpam-3416	188	26	control	control	NOUN
ejpam-3416	188	27	figure	figure	NOUN
ejpam-3416	188	28	1	1	NUM
ejpam-3416	188	29	:	:	PUNCT
ejpam-3416	188	30	the	the	DET
ejpam-3416	188	31	graph	graph	NOUN
ejpam-3416	188	32	represents	represent	VERB
ejpam-3416	188	33	in	in	ADP
ejpam-3416	188	34	the	the	DET
ejpam-3416	188	35	density	density	NOUN
ejpam-3416	188	36	of	of	ADP
ejpam-3416	188	37	uninfected	uninfected	ADJ
ejpam-3416	188	38	cells	cell	NOUN
ejpam-3416	188	39	verses	verses	ADP
ejpam-3416	188	40	time	time	NOUN
ejpam-3416	188	41	t	t	NOUN
ejpam-3416	188	42	in	in	ADP
ejpam-3416	188	43	weeks	week	NOUN
ejpam-3416	188	44	.	.	PUNCT
ejpam-3416	189	1	it	it	PRON
ejpam-3416	189	2	shows	show	VERB
ejpam-3416	189	3	the	the	DET
ejpam-3416	189	4	difference	difference	NOUN
ejpam-3416	189	5	in	in	ADP
ejpam-3416	189	6	the	the	DET
ejpam-3416	189	7	density	density	NOUN
ejpam-3416	189	8	of	of	ADP
ejpam-3416	189	9	uninfected	uninfected	ADJ
ejpam-3416	189	10	cells	cell	NOUN
ejpam-3416	189	11	before	before	ADP
ejpam-3416	189	12	and	and	CCONJ
ejpam-3416	189	13	after	after	ADP
ejpam-3416	189	14	control	control	NOUN
ejpam-3416	189	15	strategy	strategy	NOUN
ejpam-3416	189	16	.	.	PUNCT
ejpam-3416	190	1	the	the	DET
ejpam-3416	190	2	density	density	NOUN
ejpam-3416	190	3	of	of	ADP
ejpam-3416	190	4	healthy	healthy	ADJ
ejpam-3416	190	5	cells	cell	NOUN
ejpam-3416	190	6	increases	increase	NOUN
ejpam-3416	190	7	after	after	ADP
ejpam-3416	190	8	control	control	NOUN
ejpam-3416	190	9	.	.	PUNCT
ejpam-3416	191	1	0	0	NUM
ejpam-3416	192	1	2	2	NUM
ejpam-3416	192	2	4	4	NUM
ejpam-3416	192	3	6	6	NUM
ejpam-3416	192	4	8	8	NUM
ejpam-3416	192	5	10	10	NUM
ejpam-3416	192	6	0	0	NUM
ejpam-3416	192	7	1	1	NUM
ejpam-3416	192	8	2	2	NUM
ejpam-3416	192	9	3	3	NUM
ejpam-3416	192	10	4	4	NUM
ejpam-3416	192	11	5	5	NUM
ejpam-3416	192	12	6	6	NUM
ejpam-3416	192	13	time(weeks	time(week	NOUN
ejpam-3416	192	14	)	)	PUNCT
ejpam-3416	193	1	d	d	X
ejpam-3416	193	2	e	e	NOUN
ejpam-3416	193	3	n	n	NOUN
ejpam-3416	193	4	si	si	INTJ
ejpam-3416	193	5	ty	ty	INTJ
ejpam-3416	193	6	o	o	X
ejpam-3416	193	7	f	f	PROPN
ejpam-3416	193	8	in	in	ADP
ejpam-3416	193	9	fe	fe	X
ejpam-3416	193	10	ct	ct	X
ejpam-3416	193	11	e	e	PROPN
ejpam-3416	193	12	d	d	X
ejpam-3416	193	13	c	c	PROPN
ejpam-3416	193	14	e	e	NOUN
ejpam-3416	193	15	lls	ll	VERB
ejpam-3416	193	16	control	control	NOUN
ejpam-3416	193	17	in	in	ADP
ejpam-3416	193	18	the	the	DET
ejpam-3416	193	19	infected	infected	ADJ
ejpam-3416	193	20	cells	cell	NOUN
ejpam-3416	193	21	w/o	w/o	ADP
ejpam-3416	193	22	control	control	NOUN
ejpam-3416	193	23	with	with	ADP
ejpam-3416	193	24	control	control	NOUN
ejpam-3416	193	25	figure	figure	NOUN
ejpam-3416	193	26	2	2	NUM
ejpam-3416	193	27	:	:	PUNCT
ejpam-3416	193	28	the	the	DET
ejpam-3416	193	29	graph	graph	NOUN
ejpam-3416	193	30	represents	represent	VERB
ejpam-3416	193	31	control	control	NOUN
ejpam-3416	193	32	in	in	ADP
ejpam-3416	193	33	the	the	DET
ejpam-3416	193	34	density	density	NOUN
ejpam-3416	193	35	of	of	ADP
ejpam-3416	193	36	infected	infected	ADJ
ejpam-3416	193	37	cells	cell	NOUN
ejpam-3416	193	38	verses	verses	ADP
ejpam-3416	193	39	time	time	NOUN
ejpam-3416	193	40	t	t	NOUN
ejpam-3416	193	41	in	in	ADP
ejpam-3416	193	42	weeks	week	NOUN
ejpam-3416	193	43	.	.	PUNCT
ejpam-3416	194	1	it	it	PRON
ejpam-3416	194	2	shows	show	VERB
ejpam-3416	194	3	the	the	DET
ejpam-3416	194	4	difference	difference	NOUN
ejpam-3416	194	5	in	in	ADP
ejpam-3416	194	6	the	the	DET
ejpam-3416	194	7	density	density	NOUN
ejpam-3416	194	8	of	of	ADP
ejpam-3416	194	9	infected	infected	ADJ
ejpam-3416	194	10	cells	cell	NOUN
ejpam-3416	194	11	before	before	ADP
ejpam-3416	194	12	and	and	CCONJ
ejpam-3416	194	13	after	after	ADP
ejpam-3416	194	14	control	control	NOUN
ejpam-3416	194	15	strategy	strategy	NOUN
ejpam-3416	194	16	.	.	PUNCT
ejpam-3416	195	1	the	the	DET
ejpam-3416	195	2	density	density	NOUN
ejpam-3416	195	3	of	of	ADP
ejpam-3416	195	4	infected	infected	ADJ
ejpam-3416	195	5	cells	cell	NOUN
ejpam-3416	195	6	decreases	decrease	VERB
ejpam-3416	195	7	after	after	ADP
ejpam-3416	195	8	control	control	NOUN
ejpam-3416	195	9	.	.	PUNCT
ejpam-3416	196	1	while	while	SCONJ
ejpam-3416	196	2	without	without	ADP
ejpam-3416	196	3	treatment	treatment	NOUN
ejpam-3416	196	4	,	,	PUNCT
ejpam-3416	196	5	the	the	DET
ejpam-3416	196	6	number	number	NOUN
ejpam-3416	196	7	of	of	ADP
ejpam-3416	196	8	infected	infected	ADJ
ejpam-3416	196	9	cells	cell	NOUN
ejpam-3416	196	10	increases	increase	NOUN
ejpam-3416	196	11	.	.	PUNCT
ejpam-3416	197	1	fig	fig	NOUN
ejpam-3416	197	2	3	3	NUM
ejpam-3416	197	3	show	show	VERB
ejpam-3416	197	4	that	that	SCONJ
ejpam-3416	197	5	the	the	DET
ejpam-3416	197	6	concentration	concentration	NOUN
ejpam-3416	197	7	of	of	ADP
ejpam-3416	197	8	double	double	ADJ
ejpam-3416	197	9	infected	infected	ADJ
ejpam-3416	197	10	cells	cell	NOUN
ejpam-3416	197	11	is	be	AUX
ejpam-3416	197	12	reduced	reduce	VERB
ejpam-3416	197	13	to	to	ADP
ejpam-3416	197	14	a	a	DET
ejpam-3416	197	15	small	small	ADJ
ejpam-3416	197	16	number	number	NOUN
ejpam-3416	197	17	after	after	ADP
ejpam-3416	197	18	treatment	treatment	NOUN
ejpam-3416	197	19	.	.	PUNCT
ejpam-3416	198	1	fig	fig	NOUN
ejpam-3416	198	2	4	4	NUM
ejpam-3416	198	3	justifies	justify	VERB
ejpam-3416	198	4	the	the	DET
ejpam-3416	198	5	decrease	decrease	NOUN
ejpam-3416	198	6	in	in	ADP
ejpam-3416	198	7	the	the	DET
ejpam-3416	198	8	number	number	NOUN
ejpam-3416	198	9	of	of	ADP
ejpam-3416	198	10	pathogen	pathogen	NOUN
ejpam-3416	198	11	viruses	virus	NOUN
ejpam-3416	198	12	after	after	ADP
ejpam-3416	198	13	applying	apply	VERB
ejpam-3416	198	14	optimal	optimal	ADJ
ejpam-3416	198	15	control	control	NOUN
ejpam-3416	198	16	.	.	PUNCT
ejpam-3416	199	1	the	the	DET
ejpam-3416	199	2	virus	virus	NOUN
ejpam-3416	199	3	v	v	NOUN
ejpam-3416	199	4	does	do	AUX
ejpam-3416	199	5	not	not	PART
ejpam-3416	199	6	cease	cease	VERB
ejpam-3416	199	7	to	to	PART
ejpam-3416	199	8	proliferate	proliferate	VERB
ejpam-3416	199	9	and	and	CCONJ
ejpam-3416	199	10	so	so	ADV
ejpam-3416	199	11	its	its	PRON
ejpam-3416	199	12	abundance	abundance	NOUN
ejpam-3416	199	13	increases	increase	NOUN
ejpam-3416	199	14	.	.	PUNCT
ejpam-3416	200	1	after	after	ADP
ejpam-3416	200	2	few	few	ADJ
ejpam-3416	200	3	days	day	NOUN
ejpam-3416	200	4	,	,	PUNCT
ejpam-3416	200	5	the	the	DET
ejpam-3416	200	6	effect	effect	NOUN
ejpam-3416	200	7	of	of	ADP
ejpam-3416	200	8	chemotherapy	chemotherapy	NOUN
ejpam-3416	200	9	begins	begin	VERB
ejpam-3416	200	10	to	to	PART
ejpam-3416	200	11	appear	appear	VERB
ejpam-3416	200	12	;	;	PUNCT
ejpam-3416	200	13	which	which	PRON
ejpam-3416	200	14	explains	explain	VERB
ejpam-3416	200	15	the	the	DET
ejpam-3416	200	16	growth	growth	NOUN
ejpam-3416	200	17	of	of	ADP
ejpam-3416	200	18	uninfected	uninfected	ADJ
ejpam-3416	200	19	t	t	PROPN
ejpam-3416	200	20	cells	cell	NOUN
ejpam-3416	200	21	and	and	CCONJ
ejpam-3416	200	22	the	the	DET
ejpam-3416	200	23	diminishing	diminishing	NOUN
ejpam-3416	200	24	of	of	ADP
ejpam-3416	200	25	virus	virus	NOUN
ejpam-3416	200	26	v	v	NOUN
ejpam-3416	200	27	(	(	PUNCT
ejpam-3416	200	28	figs	fig	NOUN
ejpam-3416	200	29	.	.	X
ejpam-3416	200	30	2	2	NUM
ejpam-3416	200	31	and	and	CCONJ
ejpam-3416	200	32	4	4	NUM
ejpam-3416	200	33	)	)	PUNCT
ejpam-3416	200	34	.	.	PUNCT
ejpam-3416	201	1	fig	fig	NOUN
ejpam-3416	201	2	5	5	NUM
ejpam-3416	201	3	shows	show	VERB
ejpam-3416	201	4	that	that	SCONJ
ejpam-3416	201	5	after	after	ADP
ejpam-3416	201	6	treatment	treatment	NOUN
ejpam-3416	201	7	the	the	DET
ejpam-3416	201	8	density	density	NOUN
ejpam-3416	201	9	of	of	ADP
ejpam-3416	201	10	recombinant	recombinant	ADJ
ejpam-3416	201	11	virus	virus	NOUN
ejpam-3416	201	12	increases	increase	VERB
ejpam-3416	201	13	with	with	ADP
ejpam-3416	201	14	the	the	DET
ejpam-3416	201	15	passage	passage	NOUN
ejpam-3416	201	16	of	of	ADP
ejpam-3416	201	17	time	time	NOUN
ejpam-3416	201	18	and	and	CCONJ
ejpam-3416	201	19	as	as	ADP
ejpam-3416	201	20	a	a	DET
ejpam-3416	201	21	result	result	NOUN
ejpam-3416	201	22	these	these	DET
ejpam-3416	201	23	viruses	virus	NOUN
ejpam-3416	201	24	may	may	AUX
ejpam-3416	201	25	cause	cause	VERB
ejpam-3416	201	26	the	the	DET
ejpam-3416	201	27	control	control	NOUN
ejpam-3416	201	28	of	of	ADP
ejpam-3416	201	29	infected	infected	ADJ
ejpam-3416	201	30	cells	cell	NOUN
ejpam-3416	201	31	.	.	PUNCT
ejpam-3416	202	1	the	the	DET
ejpam-3416	202	2	optimal	optimal	ADJ
ejpam-3416	202	3	controls	control	NOUN
ejpam-3416	202	4	for	for	ADP
ejpam-3416	202	5	drug	drug	NOUN
ejpam-3416	202	6	administration	administration	NOUN
ejpam-3416	202	7	are	be	AUX
ejpam-3416	202	8	represented	represent	VERB
ejpam-3416	202	9	through	through	ADP
ejpam-3416	202	10	figs	fig	NOUN
ejpam-3416	202	11	.	.	PUNCT
ejpam-3416	203	1	6	6	NUM
ejpam-3416	203	2	respectively	respectively	ADV
ejpam-3416	203	3	by	by	ADP
ejpam-3416	203	4	u1	u1	NOUN
ejpam-3416	203	5	and	and	CCONJ
ejpam-3416	203	6	u2	u2	PROPN
ejpam-3416	203	7	.	.	PUNCT
ejpam-3416	204	1	n.ali	n.ali	PROPN
ejpam-3416	204	2	,	,	PUNCT
ejpam-3416	204	3	m.i	m.i	PROPN
ejpam-3416	204	4	.	.	PROPN
ejpam-3416	204	5	chohan	chohan	PROPN
ejpam-3416	204	6	,	,	PUNCT
ejpam-3416	204	7	g.	g.	PROPN
ejpam-3416	204	8	zaman	zaman	PROPN
ejpam-3416	204	9	/	/	SYM
ejpam-3416	204	10	eur	eur	PROPN
ejpam-3416	204	11	.	.	PUNCT
ejpam-3416	205	1	j.	j.	PROPN
ejpam-3416	205	2	pure	pure	PROPN
ejpam-3416	205	3	appl	appl	PROPN
ejpam-3416	205	4	.	.	PROPN
ejpam-3416	205	5	math	math	PROPN
ejpam-3416	205	6	,	,	PUNCT
ejpam-3416	205	7	12	12	NUM
ejpam-3416	205	8	(	(	PUNCT
ejpam-3416	205	9	2	2	NUM
ejpam-3416	205	10	)	)	PUNCT
ejpam-3416	205	11	(	(	PUNCT
ejpam-3416	205	12	2019	2019	NUM
ejpam-3416	205	13	)	)	PUNCT
ejpam-3416	205	14	,	,	PUNCT
ejpam-3416	205	15	506	506	NUM
ejpam-3416	205	16	-	-	SYM
ejpam-3416	205	17	518	518	NUM
ejpam-3416	205	18	515	515	NUM
ejpam-3416	205	19	0	0	NUM
ejpam-3416	205	20	2	2	NUM
ejpam-3416	205	21	4	4	NUM
ejpam-3416	205	22	6	6	NUM
ejpam-3416	205	23	8	8	NUM
ejpam-3416	205	24	10	10	NUM
ejpam-3416	205	25	1	1	NUM
ejpam-3416	205	26	2	2	NUM
ejpam-3416	205	27	3	3	NUM
ejpam-3416	205	28	4	4	NUM
ejpam-3416	205	29	5	5	NUM
ejpam-3416	205	30	6	6	NUM
ejpam-3416	205	31	7	7	NUM
ejpam-3416	205	32	8	8	NUM
ejpam-3416	205	33	time(weeks	time(week	NOUN
ejpam-3416	205	34	)	)	PUNCT
ejpam-3416	206	1	d	d	X
ejpam-3416	206	2	e	e	NOUN
ejpam-3416	206	3	n	n	NOUN
ejpam-3416	206	4	si	si	INTJ
ejpam-3416	206	5	ty	ty	INTJ
ejpam-3416	206	6	o	o	X
ejpam-3416	206	7	f	f	X
ejpam-3416	207	1	d	d	X
ejpam-3416	207	2	o	o	X
ejpam-3416	207	3	u	u	X
ejpam-3416	207	4	b	b	X
ejpam-3416	207	5	le	le	X
ejpam-3416	207	6	in	in	ADP
ejpam-3416	207	7	fe	fe	X
ejpam-3416	207	8	ct	ct	NUM
ejpam-3416	207	9	e	e	PROPN
ejpam-3416	207	10	d	d	X
ejpam-3416	207	11	c	c	PROPN
ejpam-3416	207	12	e	e	NOUN
ejpam-3416	207	13	lls	ll	VERB
ejpam-3416	207	14	control	control	NOUN
ejpam-3416	207	15	in	in	ADP
ejpam-3416	207	16	the	the	DET
ejpam-3416	207	17	double	double	ADJ
ejpam-3416	207	18	infected	infected	ADJ
ejpam-3416	207	19	cells	cell	NOUN
ejpam-3416	207	20	w/o	w/o	ADP
ejpam-3416	207	21	control	control	NOUN
ejpam-3416	207	22	with	with	ADP
ejpam-3416	207	23	control	control	NOUN
ejpam-3416	207	24	figure	figure	NOUN
ejpam-3416	207	25	3	3	NUM
ejpam-3416	207	26	:	:	PUNCT
ejpam-3416	207	27	the	the	DET
ejpam-3416	207	28	graph	graph	NOUN
ejpam-3416	207	29	represents	represent	VERB
ejpam-3416	207	30	control	control	NOUN
ejpam-3416	207	31	in	in	ADP
ejpam-3416	207	32	the	the	DET
ejpam-3416	207	33	density	density	NOUN
ejpam-3416	207	34	of	of	ADP
ejpam-3416	207	35	double	double	ADJ
ejpam-3416	207	36	infected	infected	ADJ
ejpam-3416	207	37	cells	cell	NOUN
ejpam-3416	207	38	verses	verses	ADP
ejpam-3416	207	39	time	time	NOUN
ejpam-3416	207	40	t	t	NOUN
ejpam-3416	207	41	in	in	ADP
ejpam-3416	207	42	weeks	week	NOUN
ejpam-3416	207	43	.	.	PUNCT
ejpam-3416	208	1	it	it	PRON
ejpam-3416	208	2	shows	show	VERB
ejpam-3416	208	3	the	the	DET
ejpam-3416	208	4	difference	difference	NOUN
ejpam-3416	208	5	in	in	ADP
ejpam-3416	208	6	the	the	DET
ejpam-3416	208	7	density	density	NOUN
ejpam-3416	208	8	of	of	ADP
ejpam-3416	208	9	double	double	ADJ
ejpam-3416	208	10	infected	infected	ADJ
ejpam-3416	208	11	cells	cell	NOUN
ejpam-3416	208	12	before	before	ADP
ejpam-3416	208	13	and	and	CCONJ
ejpam-3416	208	14	after	after	ADP
ejpam-3416	208	15	control	control	NOUN
ejpam-3416	208	16	strategy	strategy	NOUN
ejpam-3416	208	17	.	.	PUNCT
ejpam-3416	209	1	the	the	DET
ejpam-3416	209	2	density	density	NOUN
ejpam-3416	209	3	of	of	ADP
ejpam-3416	209	4	double	double	ADJ
ejpam-3416	209	5	infected	infected	ADJ
ejpam-3416	209	6	cells	cell	NOUN
ejpam-3416	209	7	decreases	decrease	VERB
ejpam-3416	209	8	after	after	ADP
ejpam-3416	209	9	control	control	NOUN
ejpam-3416	209	10	.	.	PUNCT
ejpam-3416	210	1	0	0	NUM
ejpam-3416	210	2	2	2	NUM
ejpam-3416	210	3	4	4	NUM
ejpam-3416	210	4	6	6	NUM
ejpam-3416	210	5	8	8	NUM
ejpam-3416	210	6	10	10	NUM
ejpam-3416	210	7	−2	−2	NOUN
ejpam-3416	210	8	−1	−1	NOUN
ejpam-3416	210	9	0	0	NUM
ejpam-3416	210	10	1	1	NUM
ejpam-3416	210	11	2	2	NUM
ejpam-3416	210	12	3	3	NUM
ejpam-3416	210	13	4	4	NUM
ejpam-3416	210	14	time(weeks	time(week	NOUN
ejpam-3416	210	15	)	)	PUNCT
ejpam-3416	211	1	d	d	X
ejpam-3416	211	2	e	e	NOUN
ejpam-3416	211	3	n	n	NOUN
ejpam-3416	211	4	si	si	INTJ
ejpam-3416	211	5	ty	ty	INTJ
ejpam-3416	211	6	o	o	X
ejpam-3416	211	7	f	f	X
ejpam-3416	211	8	p	p	X
ejpam-3416	211	9	a	a	DET
ejpam-3416	211	10	th	th	X
ejpam-3416	211	11	o	o	NOUN
ejpam-3416	211	12	g	g	PROPN
ejpam-3416	211	13	e	e	PROPN
ejpam-3416	211	14	n	n	ADP
ejpam-3416	211	15	v	v	VERB
ejpam-3416	211	16	ir	ir	PROPN
ejpam-3416	211	17	u	u	NOUN
ejpam-3416	211	18	s	s	NOUN
ejpam-3416	211	19	control	control	NOUN
ejpam-3416	211	20	in	in	ADP
ejpam-3416	211	21	the	the	DET
ejpam-3416	211	22	density	density	NOUN
ejpam-3416	211	23	of	of	ADP
ejpam-3416	211	24	pathogen	pathogen	NOUN
ejpam-3416	211	25	viruses	virus	NOUN
ejpam-3416	211	26	w/o	w/o	ADP
ejpam-3416	211	27	control	control	NOUN
ejpam-3416	211	28	with	with	ADP
ejpam-3416	211	29	control	control	NOUN
ejpam-3416	211	30	figure	figure	NOUN
ejpam-3416	211	31	4	4	NUM
ejpam-3416	211	32	:	:	PUNCT
ejpam-3416	211	33	the	the	DET
ejpam-3416	211	34	graph	graph	NOUN
ejpam-3416	211	35	represents	represent	VERB
ejpam-3416	211	36	control	control	NOUN
ejpam-3416	211	37	in	in	ADP
ejpam-3416	211	38	the	the	DET
ejpam-3416	211	39	density	density	NOUN
ejpam-3416	211	40	of	of	ADP
ejpam-3416	211	41	pathogen	pathogen	NOUN
ejpam-3416	211	42	verses	verses	ADP
ejpam-3416	211	43	time	time	NOUN
ejpam-3416	211	44	t	t	PROPN
ejpam-3416	211	45	in	in	ADP
ejpam-3416	211	46	weeks	week	NOUN
ejpam-3416	211	47	.	.	PUNCT
ejpam-3416	212	1	it	it	PRON
ejpam-3416	212	2	clarify	clarify	VERB
ejpam-3416	212	3	the	the	DET
ejpam-3416	212	4	difference	difference	NOUN
ejpam-3416	212	5	in	in	ADP
ejpam-3416	212	6	the	the	DET
ejpam-3416	212	7	density	density	NOUN
ejpam-3416	212	8	of	of	ADP
ejpam-3416	212	9	pathogen	pathogen	NOUN
ejpam-3416	212	10	virus	virus	NOUN
ejpam-3416	212	11	before	before	ADP
ejpam-3416	212	12	and	and	CCONJ
ejpam-3416	212	13	after	after	ADP
ejpam-3416	212	14	control	control	NOUN
ejpam-3416	212	15	strategy	strategy	NOUN
ejpam-3416	212	16	.	.	PUNCT
ejpam-3416	213	1	the	the	DET
ejpam-3416	213	2	density	density	NOUN
ejpam-3416	213	3	of	of	ADP
ejpam-3416	213	4	pathogen	pathogen	NOUN
ejpam-3416	213	5	virus	virus	NOUN
ejpam-3416	213	6	decreases	decrease	VERB
ejpam-3416	213	7	after	after	ADP
ejpam-3416	213	8	control	control	NOUN
ejpam-3416	213	9	decrease	decrease	NOUN
ejpam-3416	213	10	.	.	PUNCT
ejpam-3416	214	1	0	0	NUM
ejpam-3416	215	1	2	2	NUM
ejpam-3416	215	2	4	4	NUM
ejpam-3416	215	3	6	6	NUM
ejpam-3416	215	4	8	8	NUM
ejpam-3416	215	5	10	10	NUM
ejpam-3416	215	6	0	0	NUM
ejpam-3416	215	7	5	5	NUM
ejpam-3416	215	8	10	10	NUM
ejpam-3416	215	9	15	15	NUM
ejpam-3416	215	10	20	20	NUM
ejpam-3416	215	11	25	25	NUM
ejpam-3416	215	12	30	30	NUM
ejpam-3416	215	13	time(weeks	time(week	NOUN
ejpam-3416	215	14	)	)	PUNCT
ejpam-3416	216	1	r	r	NOUN
ejpam-3416	216	2	e	e	X
ejpam-3416	216	3	co	co	NOUN
ejpam-3416	216	4	m	m	PROPN
ejpam-3416	216	5	b	b	PROPN
ejpam-3416	216	6	in	in	ADP
ejpam-3416	216	7	a	a	DET
ejpam-3416	216	8	n	n	ADP
ejpam-3416	216	9	t	t	NOUN
ejpam-3416	216	10	vi	vi	PROPN
ejpam-3416	216	11	ru	ru	PROPN
ejpam-3416	216	12	s	s	PROPN
ejpam-3416	216	13	control	control	NOUN
ejpam-3416	216	14	in	in	ADP
ejpam-3416	216	15	the	the	DET
ejpam-3416	216	16	recombinant	recombinant	ADJ
ejpam-3416	216	17	viruses	virus	NOUN
ejpam-3416	216	18	w/o	w/o	ADP
ejpam-3416	216	19	control	control	NOUN
ejpam-3416	216	20	with	with	ADP
ejpam-3416	216	21	control	control	NOUN
ejpam-3416	216	22	figure	figure	NOUN
ejpam-3416	216	23	5	5	NUM
ejpam-3416	216	24	:	:	PUNCT
ejpam-3416	216	25	the	the	DET
ejpam-3416	216	26	graph	graph	NOUN
ejpam-3416	216	27	represents	represent	VERB
ejpam-3416	216	28	control	control	NOUN
ejpam-3416	216	29	in	in	ADP
ejpam-3416	216	30	the	the	DET
ejpam-3416	216	31	density	density	NOUN
ejpam-3416	216	32	of	of	ADP
ejpam-3416	216	33	recombinant	recombinant	ADJ
ejpam-3416	216	34	virus	virus	NOUN
ejpam-3416	216	35	verses	verses	ADP
ejpam-3416	216	36	time	time	NOUN
ejpam-3416	216	37	t	t	PROPN
ejpam-3416	216	38	in	in	ADP
ejpam-3416	216	39	weeks	week	NOUN
ejpam-3416	216	40	.	.	PUNCT
ejpam-3416	217	1	it	it	PRON
ejpam-3416	217	2	shows	show	VERB
ejpam-3416	217	3	the	the	DET
ejpam-3416	217	4	difference	difference	NOUN
ejpam-3416	217	5	in	in	ADP
ejpam-3416	217	6	the	the	DET
ejpam-3416	217	7	density	density	NOUN
ejpam-3416	217	8	of	of	ADP
ejpam-3416	217	9	recombinant	recombinant	ADJ
ejpam-3416	217	10	virus	virus	NOUN
ejpam-3416	217	11	before	before	ADP
ejpam-3416	217	12	and	and	CCONJ
ejpam-3416	217	13	after	after	ADP
ejpam-3416	217	14	control	control	NOUN
ejpam-3416	217	15	strategy	strategy	NOUN
ejpam-3416	217	16	.	.	PUNCT
ejpam-3416	218	1	the	the	DET
ejpam-3416	218	2	density	density	NOUN
ejpam-3416	218	3	of	of	ADP
ejpam-3416	218	4	recombinant	recombinant	ADJ
ejpam-3416	218	5	virus	virus	NOUN
ejpam-3416	218	6	increases	increase	NOUN
ejpam-3416	218	7	after	after	ADP
ejpam-3416	218	8	control	control	NOUN
ejpam-3416	218	9	.	.	PUNCT
ejpam-3416	219	1	references	reference	NOUN
ejpam-3416	219	2	516	516	NUM
ejpam-3416	219	3	0	0	NUM
ejpam-3416	219	4	2	2	NUM
ejpam-3416	219	5	4	4	NUM
ejpam-3416	219	6	6	6	NUM
ejpam-3416	219	7	8	8	NUM
ejpam-3416	219	8	10	10	NUM
ejpam-3416	219	9	0	0	NUM
ejpam-3416	219	10	0.1	0.1	NUM
ejpam-3416	219	11	0.2	0.2	NUM
ejpam-3416	219	12	0.3	0.3	NUM
ejpam-3416	219	13	0.4	0.4	NUM
ejpam-3416	219	14	0.5	0.5	NUM
ejpam-3416	219	15	0.6	0.6	NUM
ejpam-3416	219	16	0.7	0.7	NUM
ejpam-3416	219	17	0.8	0.8	NUM
ejpam-3416	219	18	0.9	0.9	NUM
ejpam-3416	219	19	time(weeks	time(week	NOUN
ejpam-3416	219	20	)	)	PUNCT
ejpam-3416	220	1	c	c	NOUN
ejpam-3416	220	2	o	o	NOUN
ejpam-3416	220	3	n	n	PRON
ejpam-3416	220	4	tr	tr	NOUN
ejpam-3416	220	5	o	o	PROPN
ejpam-3416	220	6	l	l	NOUN
ejpam-3416	220	7	v	v	NOUN
ejpam-3416	220	8	a	a	DET
ejpam-3416	220	9	ri	ri	NOUN
ejpam-3416	220	10	a	a	DET
ejpam-3416	220	11	b	b	X
ejpam-3416	220	12	le	le	X
ejpam-3416	220	13	s	s	PROPN
ejpam-3416	220	14	control	control	NOUN
ejpam-3416	220	15	variables	variable	NOUN
ejpam-3416	220	16	in	in	ADP
ejpam-3416	220	17	the	the	DET
ejpam-3416	220	18	epidemic	epidemic	NOUN
ejpam-3416	220	19	model	model	NOUN
ejpam-3416	220	20	u1	u1	PROPN
ejpam-3416	220	21	u2	u2	PROPN
ejpam-3416	220	22	figure	figure	NOUN
ejpam-3416	220	23	6	6	NUM
ejpam-3416	220	24	:	:	PUNCT
ejpam-3416	220	25	the	the	DET
ejpam-3416	220	26	graph	graph	NOUN
ejpam-3416	220	27	shows	show	VERB
ejpam-3416	220	28	the	the	DET
ejpam-3416	220	29	control	control	NOUN
ejpam-3416	220	30	variables	variable	NOUN
ejpam-3416	220	31	in	in	ADP
ejpam-3416	220	32	the	the	DET
ejpam-3416	220	33	optimal	optimal	ADJ
ejpam-3416	220	34	control	control	NOUN
ejpam-3416	220	35	problem	problem	NOUN
ejpam-3416	220	36	.	.	PUNCT
ejpam-3416	221	1	4	4	X
ejpam-3416	221	2	.	.	X
ejpam-3416	221	3	concluding	conclude	VERB
ejpam-3416	221	4	remarks	remark	NOUN
ejpam-3416	221	5	in	in	ADP
ejpam-3416	221	6	this	this	DET
ejpam-3416	221	7	work	work	NOUN
ejpam-3416	221	8	,	,	PUNCT
ejpam-3416	221	9	we	we	PRON
ejpam-3416	221	10	have	have	AUX
ejpam-3416	221	11	presented	present	VERB
ejpam-3416	221	12	a	a	DET
ejpam-3416	221	13	single	single	ADJ
ejpam-3416	221	14	delayed	delay	VERB
ejpam-3416	221	15	hiv-1	hiv-1	PUNCT
ejpam-3416	221	16	mathematical	mathematical	ADJ
ejpam-3416	221	17	model	model	NOUN
ejpam-3416	221	18	with	with	ADP
ejpam-3416	221	19	two	two	NUM
ejpam-3416	221	20	controls	control	NOUN
ejpam-3416	221	21	variables	variable	NOUN
ejpam-3416	221	22	.	.	PUNCT
ejpam-3416	222	1	although	although	SCONJ
ejpam-3416	222	2	,	,	PUNCT
ejpam-3416	222	3	there	there	PRON
ejpam-3416	222	4	is	be	VERB
ejpam-3416	222	5	no	no	DET
ejpam-3416	222	6	effective	effective	ADJ
ejpam-3416	222	7	therapy	therapy	NOUN
ejpam-3416	222	8	for	for	ADP
ejpam-3416	222	9	hiv	hiv	PROPN
ejpam-3416	222	10	infection	infection	NOUN
ejpam-3416	222	11	but	but	CCONJ
ejpam-3416	222	12	different	different	ADJ
ejpam-3416	222	13	treatments	treatment	NOUN
ejpam-3416	222	14	are	be	AUX
ejpam-3416	222	15	available	available	ADJ
ejpam-3416	222	16	to	to	PART
ejpam-3416	222	17	block	block	VERB
ejpam-3416	222	18	off	off	ADP
ejpam-3416	222	19	the	the	DET
ejpam-3416	222	20	development	development	NOUN
ejpam-3416	222	21	of	of	ADP
ejpam-3416	222	22	the	the	DET
ejpam-3416	222	23	virus	virus	NOUN
ejpam-3416	222	24	production	production	NOUN
ejpam-3416	222	25	in	in	ADP
ejpam-3416	222	26	the	the	DET
ejpam-3416	222	27	body	body	NOUN
ejpam-3416	222	28	and	and	CCONJ
ejpam-3416	222	29	maintain	maintain	VERB
ejpam-3416	222	30	balance	balance	NOUN
ejpam-3416	222	31	between	between	ADP
ejpam-3416	222	32	the	the	DET
ejpam-3416	222	33	virus	virus	NOUN
ejpam-3416	222	34	and	and	CCONJ
ejpam-3416	222	35	the	the	DET
ejpam-3416	222	36	defense	defense	NOUN
ejpam-3416	222	37	system	system	NOUN
ejpam-3416	222	38	.	.	PUNCT
ejpam-3416	223	1	these	these	DET
ejpam-3416	223	2	treatments	treatment	NOUN
ejpam-3416	223	3	can	can	AUX
ejpam-3416	223	4	cause	cause	VERB
ejpam-3416	223	5	heavy	heavy	ADJ
ejpam-3416	223	6	side	side	NOUN
ejpam-3416	223	7	effects	effect	NOUN
ejpam-3416	223	8	such	such	ADJ
ejpam-3416	223	9	as	as	ADP
ejpam-3416	223	10	nausea	nausea	NOUN
ejpam-3416	223	11	,	,	PUNCT
ejpam-3416	223	12	diarrhea	diarrhea	NOUN
ejpam-3416	223	13	,	,	PUNCT
ejpam-3416	223	14	fatigue	fatigue	NOUN
ejpam-3416	223	15	,	,	PUNCT
ejpam-3416	223	16	etc	etc	X
ejpam-3416	223	17	.	.	X
ejpam-3416	224	1	moreover	moreover	ADV
ejpam-3416	224	2	,	,	PUNCT
ejpam-3416	224	3	the	the	DET
ejpam-3416	224	4	cost	cost	NOUN
ejpam-3416	224	5	of	of	ADP
ejpam-3416	224	6	treatment	treatment	NOUN
ejpam-3416	224	7	is	be	AUX
ejpam-3416	224	8	beyond	beyond	ADP
ejpam-3416	224	9	reach	reach	NOUN
ejpam-3416	224	10	of	of	ADP
ejpam-3416	224	11	many	many	ADJ
ejpam-3416	224	12	infected	infected	ADJ
ejpam-3416	224	13	patients	patient	NOUN
ejpam-3416	224	14	.	.	PUNCT
ejpam-3416	225	1	hence	hence	ADV
ejpam-3416	225	2	,	,	PUNCT
ejpam-3416	225	3	we	we	PRON
ejpam-3416	225	4	introduced	introduce	VERB
ejpam-3416	225	5	an	an	DET
ejpam-3416	225	6	optimal	optimal	ADJ
ejpam-3416	225	7	therapy	therapy	NOUN
ejpam-3416	225	8	in	in	ADP
ejpam-3416	225	9	order	order	NOUN
ejpam-3416	225	10	to	to	PART
ejpam-3416	225	11	minimize	minimize	VERB
ejpam-3416	225	12	the	the	DET
ejpam-3416	225	13	cost	cost	NOUN
ejpam-3416	225	14	of	of	ADP
ejpam-3416	225	15	treatment	treatment	NOUN
ejpam-3416	225	16	,	,	PUNCT
ejpam-3416	225	17	reduce	reduce	VERB
ejpam-3416	225	18	the	the	DET
ejpam-3416	225	19	viral	viral	ADJ
ejpam-3416	225	20	load	load	NOUN
ejpam-3416	225	21	and	and	CCONJ
ejpam-3416	225	22	improve	improve	VERB
ejpam-3416	225	23	the	the	DET
ejpam-3416	225	24	immune	immune	ADJ
ejpam-3416	225	25	response	response	NOUN
ejpam-3416	225	26	.	.	PUNCT
ejpam-3416	226	1	we	we	PRON
ejpam-3416	226	2	used	use	VERB
ejpam-3416	226	3	two	two	NUM
ejpam-3416	226	4	controls	control	NOUN
ejpam-3416	226	5	which	which	PRON
ejpam-3416	226	6	measure	measure	VERB
ejpam-3416	226	7	the	the	DET
ejpam-3416	226	8	efficacy	efficacy	NOUN
ejpam-3416	226	9	of	of	ADP
ejpam-3416	226	10	reverse	reverse	ADJ
ejpam-3416	226	11	transcriptase	transcriptase	NOUN
ejpam-3416	226	12	and	and	CCONJ
ejpam-3416	226	13	protease	protease	NOUN
ejpam-3416	226	14	inhibitors	inhibitor	NOUN
ejpam-3416	226	15	,	,	PUNCT
ejpam-3416	226	16	respectively	respectively	ADV
ejpam-3416	226	17	.	.	PUNCT
ejpam-3416	227	1	in	in	ADP
ejpam-3416	227	2	addition	addition	NOUN
ejpam-3416	227	3	,	,	PUNCT
ejpam-3416	227	4	we	we	PRON
ejpam-3416	227	5	discussed	discuss	VERB
ejpam-3416	227	6	an	an	DET
ejpam-3416	227	7	efficient	efficient	ADJ
ejpam-3416	227	8	numerical	numerical	ADJ
ejpam-3416	227	9	method	method	NOUN
ejpam-3416	227	10	based	base	VERB
ejpam-3416	227	11	on	on	ADP
ejpam-3416	227	12	optimal	optimal	ADJ
ejpam-3416	227	13	control	control	NOUN
ejpam-3416	227	14	to	to	PART
ejpam-3416	227	15	identify	identify	VERB
ejpam-3416	227	16	the	the	DET
ejpam-3416	227	17	best	good	ADJ
ejpam-3416	227	18	treatment	treatment	NOUN
ejpam-3416	227	19	strategy	strategy	NOUN
ejpam-3416	227	20	of	of	ADP
ejpam-3416	227	21	hiv	hiv	PROPN
ejpam-3416	227	22	infection	infection	NOUN
ejpam-3416	227	23	in	in	ADP
ejpam-3416	227	24	order	order	NOUN
ejpam-3416	227	25	to	to	PART
ejpam-3416	227	26	block	block	VERB
ejpam-3416	227	27	new	new	ADJ
ejpam-3416	227	28	infection	infection	NOUN
ejpam-3416	227	29	,	,	PUNCT
ejpam-3416	227	30	increase	increase	VERB
ejpam-3416	227	31	the	the	DET
ejpam-3416	227	32	density	density	NOUN
ejpam-3416	227	33	of	of	ADP
ejpam-3416	227	34	recombinant	recombinant	ADJ
ejpam-3416	227	35	viruses	virus	NOUN
ejpam-3416	227	36	and	and	CCONJ
ejpam-3416	227	37	minimize	minimize	VERB
ejpam-3416	227	38	the	the	DET
ejpam-3416	227	39	number	number	NOUN
ejpam-3416	227	40	of	of	ADP
ejpam-3416	227	41	pathogen	pathogen	NOUN
ejpam-3416	227	42	viruses	virus	NOUN
ejpam-3416	227	43	by	by	ADP
ejpam-3416	227	44	using	use	VERB
ejpam-3416	227	45	drug	drug	NOUN
ejpam-3416	227	46	therapy	therapy	NOUN
ejpam-3416	227	47	with	with	ADP
ejpam-3416	227	48	minimum	minimum	ADJ
ejpam-3416	227	49	side	side	NOUN
ejpam-3416	227	50	effects	effect	NOUN
ejpam-3416	227	51	.	.	PUNCT
ejpam-3416	228	1	the	the	DET
ejpam-3416	228	2	numerical	numerical	ADJ
ejpam-3416	228	3	simulations	simulation	NOUN
ejpam-3416	228	4	have	have	AUX
ejpam-3416	228	5	shown	show	VERB
ejpam-3416	228	6	that	that	SCONJ
ejpam-3416	228	7	the	the	DET
ejpam-3416	228	8	viral	viral	ADJ
ejpam-3416	228	9	load	load	NOUN
ejpam-3416	228	10	drops	drop	VERB
ejpam-3416	228	11	off	off	ADP
ejpam-3416	228	12	after	after	ADP
ejpam-3416	228	13	treatment	treatment	NOUN
ejpam-3416	228	14	while	while	SCONJ
ejpam-3416	228	15	the	the	DET
ejpam-3416	228	16	densities	density	NOUN
ejpam-3416	228	17	of	of	ADP
ejpam-3416	228	18	cd4	cd4	PROPN
ejpam-3416	228	19	+	+	NOUN
ejpam-3416	228	20	cells	cell	NOUN
ejpam-3416	228	21	and	and	CCONJ
ejpam-3416	228	22	recombinant	recombinant	ADJ
ejpam-3416	228	23	virus	virus	NOUN
ejpam-3416	228	24	increases	increase	NOUN
ejpam-3416	228	25	.	.	PUNCT
ejpam-3416	229	1	acknowledgements	acknowledgement	NOUN
ejpam-3416	229	2	we	we	PRON
ejpam-3416	229	3	are	be	AUX
ejpam-3416	229	4	very	very	ADV
ejpam-3416	229	5	thankful	thankful	ADJ
ejpam-3416	229	6	to	to	ADP
ejpam-3416	229	7	the	the	DET
ejpam-3416	229	8	reviewers	reviewer	NOUN
ejpam-3416	229	9	for	for	ADP
ejpam-3416	229	10	their	their	PRON
ejpam-3416	229	11	useful	useful	ADJ
ejpam-3416	229	12	suggestions	suggestion	NOUN
ejpam-3416	229	13	/	/	SYM
ejpam-3416	229	14	corrections	correction	NOUN
ejpam-3416	229	15	which	which	PRON
ejpam-3416	229	16	improved	improve	VERB
ejpam-3416	229	17	this	this	DET
ejpam-3416	229	18	manuscript	manuscript	NOUN
ejpam-3416	229	19	very	very	ADV
ejpam-3416	229	20	well	well	ADV
ejpam-3416	229	21	.	.	PUNCT
ejpam-3416	230	1	references	reference	NOUN
ejpam-3416	230	2	[	[	X
ejpam-3416	230	3	1	1	NUM
ejpam-3416	230	4	]	]	PUNCT
ejpam-3416	230	5	n	n	X
ejpam-3416	230	6	ali	ali	PROPN
ejpam-3416	230	7	,	,	PUNCT
ejpam-3416	230	8	g	g	PROPN
ejpam-3416	230	9	zaman	zaman	PROPN
ejpam-3416	230	10	.	.	PUNCT
ejpam-3416	231	1	o	o	X
ejpam-3416	231	2	algahtani	algahtani	PROPN
ejpam-3416	231	3	.	.	PUNCT
ejpam-3416	232	1	stability	stability	NOUN
ejpam-3416	232	2	analysis	analysis	NOUN
ejpam-3416	232	3	of	of	ADP
ejpam-3416	232	4	hiv-1	hiv-1	X
ejpam-3416	232	5	model	model	NOUN
ejpam-3416	232	6	with	with	ADP
ejpam-3416	232	7	multiple	multiple	ADJ
ejpam-3416	232	8	delays	delay	NOUN
ejpam-3416	232	9	.	.	PUNCT
ejpam-3416	233	1	advance	advance	NOUN
ejpam-3416	233	2	difference	difference	NOUN
ejpam-3416	233	3	equations	equation	NOUN
ejpam-3416	233	4	,	,	PUNCT
ejpam-3416	233	5	1:8–19	1:8–19	NUM
ejpam-3416	233	6	,	,	PUNCT
ejpam-3416	233	7	882016	882016	NUM
ejpam-3416	233	8	.	.	PUNCT
ejpam-3416	234	1	[	[	X
ejpam-3416	234	2	2	2	NUM
ejpam-3416	234	3	]	]	PUNCT
ejpam-3416	234	4	n	n	X
ejpam-3416	234	5	ali	ali	PROPN
ejpam-3416	234	6	,	,	PUNCT
ejpam-3416	234	7	g	g	PROPN
ejpam-3416	234	8	zaman	zaman	PROPN
ejpam-3416	234	9	.	.	PUNCT
ejpam-3416	235	1	asymptotic	asymptotic	ADJ
ejpam-3416	235	2	behavior	behavior	NOUN
ejpam-3416	235	3	of	of	ADP
ejpam-3416	235	4	hiv-1	hiv-1	X
ejpam-3416	235	5	epidemic	epidemic	ADJ
ejpam-3416	235	6	model	model	NOUN
ejpam-3416	235	7	with	with	ADP
ejpam-3416	235	8	infinite	infinite	ADJ
ejpam-3416	235	9	distributed	distribute	VERB
ejpam-3416	235	10	intracellular	intracellular	ADJ
ejpam-3416	235	11	delays	delay	NOUN
ejpam-3416	235	12	.	.	PUNCT
ejpam-3416	236	1	springerplus	springerplus	PROPN
ejpam-3416	236	2	,	,	PUNCT
ejpam-3416	236	3	5:15–25	5:15–25	PROPN
ejpam-3416	236	4	2016	2016	NUM
ejpam-3416	236	5	.	.	PUNCT
ejpam-3416	237	1	[	[	X
ejpam-3416	237	2	3	3	X
ejpam-3416	237	3	]	]	X
ejpam-3416	237	4	n	n	X
ejpam-3416	237	5	ali	ali	PROPN
ejpam-3416	237	6	,	,	PUNCT
ejpam-3416	237	7	g	g	PROPN
ejpam-3416	237	8	zaman	zaman	PROPN
ejpam-3416	237	9	,	,	PUNCT
ejpam-3416	237	10	and	and	CCONJ
ejpam-3416	237	11	a	a	DET
ejpam-3416	237	12	s	s	NOUN
ejpam-3416	237	13	alshomrani	alshomrani	NOUN
ejpam-3416	237	14	.	.	PUNCT
ejpam-3416	238	1	optimal	optimal	ADJ
ejpam-3416	238	2	control	control	NOUN
ejpam-3416	238	3	strategy	strategy	NOUN
ejpam-3416	238	4	of	of	ADP
ejpam-3416	238	5	hiv-1	hiv-1	ADJ
ejpam-3416	238	6	epidemic	epidemic	ADJ
ejpam-3416	238	7	model	model	NOUN
ejpam-3416	238	8	for	for	ADP
ejpam-3416	238	9	recombinant	recombinant	ADJ
ejpam-3416	238	10	virus	virus	NOUN
ejpam-3416	238	11	.	.	PUNCT
ejpam-3416	239	1	cogent	cogent	NOUN
ejpam-3416	239	2	mathematics	mathematic	NOUN
ejpam-3416	239	3	,	,	PUNCT
ejpam-3416	239	4	4(1):34–45	4(1):34–45	NUM
ejpam-3416	239	5	,	,	PUNCT
ejpam-3416	239	6	2017	2017	NUM
ejpam-3416	239	7	references	reference	NOUN
ejpam-3416	239	8	517	517	NUM
ejpam-3416	239	9	[	[	X
ejpam-3416	239	10	4	4	NUM
ejpam-3416	239	11	]	]	X
ejpam-3416	239	12	w	w	PROPN
ejpam-3416	239	13	garira	garira	PROPN
ejpam-3416	239	14	,	,	PUNCT
ejpam-3416	239	15	s	s	PART
ejpam-3416	239	16	musekwa	musekwa	NOUN
ejpam-3416	239	17	,	,	PUNCT
ejpam-3416	239	18	t	t	PROPN
ejpam-3416	239	19	shiri	shiri	PROPN
ejpam-3416	239	20	.	.	PUNCT
ejpam-3416	240	1	optimal	optimal	ADJ
ejpam-3416	240	2	control	control	NOUN
ejpam-3416	240	3	of	of	ADP
ejpam-3416	240	4	combined	combined	ADJ
ejpam-3416	240	5	therapy	therapy	NOUN
ejpam-3416	240	6	in	in	ADP
ejpam-3416	240	7	a	a	DET
ejpam-3416	240	8	single	single	ADJ
ejpam-3416	240	9	strain	strain	NOUN
ejpam-3416	240	10	hiv-1	hiv-1	PART
ejpam-3416	240	11	model	model	NOUN
ejpam-3416	240	12	.	.	PUNCT
ejpam-3416	241	1	electronic	electronic	ADJ
ejpam-3416	241	2	journal	journal	NOUN
ejpam-3416	241	3	of	of	ADP
ejpam-3416	241	4	differential	differential	ADJ
ejpam-3416	241	5	equations	equation	NOUN
ejpam-3416	241	6	,	,	PUNCT
ejpam-3416	241	7	5	5	NUM
ejpam-3416	241	8	:	:	PUNCT
ejpam-3416	241	9	1–22	1–22	NOUN
ejpam-3416	241	10	,	,	PUNCT
ejpam-3416	241	11	2005	2005	NUM
ejpam-3416	241	12	.	.	PUNCT
ejpam-3416	242	1	[	[	X
ejpam-3416	242	2	5	5	NUM
ejpam-3416	242	3	]	]	PUNCT
ejpam-3416	242	4	gh	gh	PROPN
ejpam-3416	242	5	ghanbari	ghanbari	PROPN
ejpam-3416	242	6	and	and	CCONJ
ejpam-3416	242	7	m	m	PROPN
ejpam-3416	242	8	h	h	NOUN
ejpam-3416	242	9	farahi	farahi	ADJ
ejpam-3416	242	10	.	.	PUNCT
ejpam-3416	243	1	optimal	optimal	ADJ
ejpam-3416	243	2	control	control	NOUN
ejpam-3416	243	3	of	of	ADP
ejpam-3416	243	4	a	a	DET
ejpam-3416	243	5	delayed	delay	VERB
ejpam-3416	243	6	hiv	hiv	PROPN
ejpam-3416	243	7	infection	infection	NOUN
ejpam-3416	243	8	model	model	NOUN
ejpam-3416	243	9	via	via	ADP
ejpam-3416	243	10	fourier	fourier	PROPN
ejpam-3416	243	11	series	series	PROPN
ejpam-3416	243	12	.	.	PUNCT
ejpam-3416	244	1	journal	journal	PROPN
ejpam-3416	244	2	of	of	ADP
ejpam-3416	244	3	nonlinear	nonlinear	ADJ
ejpam-3416	244	4	dynamics	dynamic	NOUN
ejpam-3416	244	5	,	,	PUNCT
ejpam-3416	244	6	article	article	NOUN
ejpam-3416	244	7	i	i	PROPN
ejpam-3416	244	8	d	d	PROPN
ejpam-3416	244	9	495158	495158	NUM
ejpam-3416	244	10	,	,	PUNCT
ejpam-3416	244	11	volume	volume	NOUN
ejpam-3416	244	12	2014	2014	NUM
ejpam-3416	244	13	.	.	PUNCT
ejpam-3416	245	1	[	[	X
ejpam-3416	245	2	6	6	NUM
ejpam-3416	245	3	]	]	X
ejpam-3416	245	4	j	j	PROPN
ejpam-3416	245	5	david	david	PROPN
ejpam-3416	245	6	,	,	PUNCT
ejpam-3416	245	7	h	h	PROPN
ejpam-3416	245	8	tran	tran	PROPN
ejpam-3416	245	9	,	,	PUNCT
ejpam-3416	245	10	h	h	NOUN
ejpam-3416	245	11	banks	bank	NOUN
ejpam-3416	245	12	,	,	PUNCT
ejpam-3416	245	13	hiv	hiv	PROPN
ejpam-3416	245	14	model	model	NOUN
ejpam-3416	245	15	analysis	analysis	NOUN
ejpam-3416	245	16	and	and	CCONJ
ejpam-3416	245	17	estimation	estimation	NOUN
ejpam-3416	245	18	implementation	implementation	NOUN
ejpam-3416	245	19	under	under	ADP
ejpam-3416	245	20	optimal	optimal	ADJ
ejpam-3416	245	21	control	control	NOUN
ejpam-3416	245	22	based	base	VERB
ejpam-3416	245	23	treatment	treatment	NOUN
ejpam-3416	245	24	strategies	strategy	NOUN
ejpam-3416	245	25	.	.	PUNCT
ejpam-3416	246	1	international	international	ADJ
ejpam-3416	246	2	journal	journal	NOUN
ejpam-3416	246	3	of	of	ADP
ejpam-3416	246	4	pure	pure	ADJ
ejpam-3416	246	5	and	and	CCONJ
ejpam-3416	246	6	applied	applied	ADJ
ejpam-3416	246	7	mathematics	mathematic	NOUN
ejpam-3416	246	8	,	,	PUNCT
ejpam-3416	246	9	57	57	NUM
ejpam-3416	246	10	:	:	PUNCT
ejpam-3416	246	11	357–392	357–392	NUM
ejpam-3416	246	12	,	,	PUNCT
ejpam-3416	246	13	2009	2009	NUM
ejpam-3416	246	14	.	.	PUNCT
ejpam-3416	247	1	[	[	X
ejpam-3416	247	2	7	7	X
ejpam-3416	247	3	]	]	X
ejpam-3416	247	4	rocha	rocha	PROPN
ejpam-3416	247	5	d	d	PROPN
ejpam-3416	247	6	,	,	PUNCT
ejpam-3416	247	7	silva	silva	PROPN
ejpam-3416	247	8	,	,	PUNCT
ejpam-3416	247	9	cj	cj	NOUN
ejpam-3416	247	10	and	and	CCONJ
ejpam-3416	247	11	torres	torre	VERB
ejpam-3416	247	12	df	df	PROPN
ejpam-3416	247	13	.	.	PUNCT
ejpam-3416	247	14	stability	stability	NOUN
ejpam-3416	247	15	and	and	CCONJ
ejpam-3416	247	16	optimal	optimal	ADJ
ejpam-3416	247	17	control	control	NOUN
ejpam-3416	247	18	of	of	ADP
ejpam-3416	247	19	a	a	DET
ejpam-3416	247	20	delayed	delay	VERB
ejpam-3416	247	21	hiv	hiv	PROPN
ejpam-3416	247	22	model	model	NOUN
ejpam-3416	247	23	.	.	PUNCT
ejpam-3416	248	1	mathematical	mathematical	PROPN
ejpam-3416	248	2	methos	methos	PROPN
ejpam-3416	248	3	in	in	ADP
ejpam-3416	248	4	applied	apply	VERB
ejpam-3416	248	5	sciences	science	NOUN
ejpam-3416	248	6	,	,	PUNCT
ejpam-3416	248	7	9:2251–2260	9:2251–2260	NUM
ejpam-3416	248	8	,	,	PUNCT
ejpam-3416	248	9	2018	2018	NUM
ejpam-3416	249	1	[	[	X
ejpam-3416	249	2	8	8	NUM
ejpam-3416	249	3	]	]	X
ejpam-3416	249	4	wu	wu	PROPN
ejpam-3416	249	5	d	d	PROPN
ejpam-3416	249	6	,	,	PUNCT
ejpam-3416	249	7	bai	bai	PROPN
ejpam-3416	249	8	y	y	PROPN
ejpam-3416	249	9	and	and	CCONJ
ejpam-3416	249	10	yu	yu	PROPN
ejpam-3416	249	11	c.	c.	PROPN
ejpam-3416	249	12	a	a	DET
ejpam-3416	249	13	new	new	ADJ
ejpam-3416	249	14	computational	computational	ADJ
ejpam-3416	249	15	approach	approach	NOUN
ejpam-3416	249	16	for	for	ADP
ejpam-3416	249	17	optimal	optimal	ADJ
ejpam-3416	249	18	control	control	NOUN
ejpam-3416	249	19	problems	problem	NOUN
ejpam-3416	249	20	with	with	ADP
ejpam-3416	249	21	multiple	multiple	ADJ
ejpam-3416	249	22	time	time	NOUN
ejpam-3416	249	23	-	-	PUNCT
ejpam-3416	249	24	delay	delay	NOUN
ejpam-3416	249	25	.	.	PUNCT
ejpam-3416	250	1	automatica	automatica	PROPN
ejpam-3416	250	2	,	,	PUNCT
ejpam-3416	250	3	101	101	NUM
ejpam-3416	250	4	:	:	PUNCT
ejpam-3416	250	5	388–395	388–395	NUM
ejpam-3416	250	6	,	,	PUNCT
ejpam-3416	250	7	2019	2019	NUM
ejpam-3416	250	8	.	.	PUNCT
ejpam-3416	251	1	[	[	X
ejpam-3416	251	2	9	9	NUM
ejpam-3416	251	3	]	]	X
ejpam-3416	251	4	new	new	ADJ
ejpam-3416	251	5	hopes	hope	NOUN
ejpam-3416	251	6	in	in	ADP
ejpam-3416	251	7	hiv	hiv	PROPN
ejpam-3416	251	8	disease	disease	NOUN
ejpam-3416	251	9	,	,	PUNCT
ejpam-3416	251	10	science	science	NOUN
ejpam-3416	251	11	,	,	PUNCT
ejpam-3416	251	12	274	274	NUM
ejpam-3416	251	13	:	:	SYM
ejpam-3416	251	14	1988	1988	NUM
ejpam-3416	251	15	-	-	SYM
ejpam-3416	251	16	1991	1991	NUM
ejpam-3416	251	17	(	(	PUNCT
ejpam-3416	251	18	dec	dec	PROPN
ejpam-3416	251	19	.	.	PROPN
ejpam-3416	251	20	,20	,20	PUNCT
ejpam-3416	251	21	1996	1996	NUM
ejpam-3416	251	22	)	)	PUNCT
ejpam-3416	251	23	.	.	PUNCT
ejpam-3416	252	1	[	[	X
ejpam-3416	252	2	10	10	NUM
ejpam-3416	252	3	]	]	X
ejpam-3416	252	4	w	w	PROPN
ejpam-3416	252	5	h	h	PROPN
ejpam-3416	252	6	fleming	fleming	NOUN
ejpam-3416	252	7	,	,	PUNCT
ejpam-3416	252	8	r	r	NOUN
ejpam-3416	252	9	h	h	NOUN
ejpam-3416	252	10	rishel	rishel	PROPN
ejpam-3416	252	11	.	.	PUNCT
ejpam-3416	253	1	deterministic	deterministic	ADJ
ejpam-3416	253	2	and	and	CCONJ
ejpam-3416	253	3	stochastic	stochastic	ADJ
ejpam-3416	253	4	optimal	optimal	ADJ
ejpam-3416	253	5	control	control	NOUN
ejpam-3416	253	6	.	.	PUNCT
ejpam-3416	254	1	springer	springer	NOUN
ejpam-3416	254	2	verlag	verlag	PROPN
ejpam-3416	254	3	,	,	PUNCT
ejpam-3416	254	4	new	new	PROPN
ejpam-3416	254	5	york	york	PROPN
ejpam-3416	254	6	,	,	PUNCT
ejpam-3416	254	7	1975	1975	NUM
ejpam-3416	254	8	.	.	PUNCT
ejpam-3416	255	1	[	[	X
ejpam-3416	255	2	11	11	NUM
ejpam-3416	255	3	]	]	X
ejpam-3416	255	4	n.	n.	NOUN
ejpam-3416	255	5	makamdop	makamdop	NOUN
ejpam-3416	255	6	,	,	PUNCT
ejpam-3416	255	7	k	k	PROPN
ejpam-3416	255	8	and	and	CCONJ
ejpam-3416	255	9	douek	douek	PROPN
ejpam-3416	256	1	d	d	X
ejpam-3416	256	2	c.	c.	NOUN
ejpam-3416	256	3	manipulating	manipulate	VERB
ejpam-3416	256	4	the	the	DET
ejpam-3416	256	5	interferon	interferon	NOUN
ejpam-3416	256	6	signaling	signal	VERB
ejpam-3416	256	7	pathway	pathway	NOUN
ejpam-3416	256	8	.	.	PUNCT
ejpam-3416	257	1	implications	implication	NOUN
ejpam-3416	257	2	for	for	ADP
ejpam-3416	257	3	hiv	hiv	PROPN
ejpam-3416	257	4	infection	infection	NOUN
ejpam-3416	257	5	.	.	PUNCT
ejpam-3416	258	1	virologica	virologica	PROPN
ejpam-3416	258	2	sinica	sinica	PROPN
ejpam-3416	258	3	,	,	PUNCT
ejpam-3416	258	4	6	6	NUM
ejpam-3416	258	5	:	:	SYM
ejpam-3416	258	6	1–5	1–5	NUM
ejpam-3416	258	7	,	,	PUNCT
ejpam-3416	258	8	2006	2006	NUM
ejpam-3416	258	9	[	[	X
ejpam-3416	258	10	12	12	NUM
ejpam-3416	258	11	]	]	PUNCT
ejpam-3416	258	12	h.	h.	PROPN
ejpam-3416	258	13	joshi	joshi	PROPN
ejpam-3416	258	14	.	.	PUNCT
ejpam-3416	259	1	optimal	optimal	ADJ
ejpam-3416	259	2	control	control	NOUN
ejpam-3416	259	3	of	of	ADP
ejpam-3416	259	4	an	an	DET
ejpam-3416	259	5	hiv	hiv	PROPN
ejpam-3416	259	6	immunology	immunology	NOUN
ejpam-3416	259	7	model	model	NOUN
ejpam-3416	259	8	.	.	PUNCT
ejpam-3416	260	1	applied	apply	VERB
ejpam-3416	260	2	mathematics	mathematic	NOUN
ejpam-3416	260	3	and	and	CCONJ
ejpam-3416	260	4	optimization	optimization	NOUN
ejpam-3416	260	5	,	,	PUNCT
ejpam-3416	260	6	23	23	NUM
ejpam-3416	260	7	:	:	SYM
ejpam-3416	260	8	199213	199213	NUM
ejpam-3416	260	9	,	,	PUNCT
ejpam-3416	260	10	2002	2002	NUM
ejpam-3416	260	11	.	.	PUNCT
ejpam-3416	261	1	[	[	X
ejpam-3416	261	2	13	13	NUM
ejpam-3416	261	3	]	]	X
ejpam-3416	261	4	d	d	X
ejpam-3416	261	5	kirschner	kirschner	PROPN
ejpam-3416	261	6	,	,	PUNCT
ejpam-3416	261	7	s	s	VERB
ejpam-3416	261	8	lenhart	lenhart	NOUN
ejpam-3416	261	9	,	,	PUNCT
ejpam-3416	261	10	s	s	PART
ejpam-3416	261	11	serbin	serbin	NOUN
ejpam-3416	261	12	.	.	PUNCT
ejpam-3416	262	1	optimal	optimal	ADJ
ejpam-3416	262	2	control	control	NOUN
ejpam-3416	262	3	of	of	ADP
ejpam-3416	262	4	the	the	DET
ejpam-3416	262	5	chemotherapy	chemotherapy	NOUN
ejpam-3416	262	6	of	of	ADP
ejpam-3416	262	7	hiv-1	hiv-1	X
ejpam-3416	262	8	.	.	PUNCT
ejpam-3416	262	9	journal	journal	PROPN
ejpam-3416	262	10	of	of	ADP
ejpam-3416	262	11	biological	biological	ADJ
ejpam-3416	262	12	system	system	NOUN
ejpam-3416	262	13	35	35	NUM
ejpam-3416	262	14	:	:	PUNCT
ejpam-3416	262	15	775–792	775–792	NUM
ejpam-3416	262	16	,	,	PUNCT
ejpam-3416	262	17	1997	1997	NUM
ejpam-3416	262	18	.	.	PUNCT
ejpam-3416	263	1	[	[	X
ejpam-3416	263	2	14	14	NUM
ejpam-3416	263	3	]	]	X
ejpam-3416	263	4	d	d	X
ejpam-3416	263	5	kirschner	kirschner	PROPN
ejpam-3416	263	6	,	,	PUNCT
ejpam-3416	263	7	a	a	DET
ejpam-3416	263	8	perelson	perelson	NOUN
ejpam-3416	263	9	,	,	PUNCT
ejpam-3416	263	10	r	r	NOUN
ejpam-3416	263	11	deboer	deboer	NOUN
ejpam-3416	263	12	.	.	PUNCT
ejpam-3416	264	1	the	the	DET
ejpam-3416	264	2	dynamics	dynamic	NOUN
ejpam-3416	264	3	of	of	ADP
ejpam-3416	264	4	hiv	hiv	PROPN
ejpam-3416	264	5	infectionof	infectionof	PROPN
ejpam-3416	264	6	cd4+t	cd4+t	VERB
ejpam-3416	264	7	cell.mathematical	cell.mathematical	ADJ
ejpam-3416	264	8	biosciences	bioscience	NOUN
ejpam-3416	264	9	,	,	PUNCT
ejpam-3416	264	10	114	114	NUM
ejpam-3416	264	11	:	:	SYM
ejpam-3416	264	12	81	81	NUM
ejpam-3416	264	13	-	-	PUNCT
ejpam-3416	264	14	125,1993	125,1993	NUM
ejpam-3416	264	15	.	.	PUNCT
ejpam-3416	265	1	[	[	X
ejpam-3416	265	2	15	15	NUM
ejpam-3416	265	3	]	]	X
ejpam-3416	265	4	d	d	X
ejpam-3416	265	5	kirschner	kirschner	PROPN
ejpam-3416	265	6	,	,	PUNCT
ejpam-3416	265	7	g	g	PROPN
ejpam-3416	265	8	f	f	PROPN
ejpam-3416	265	9	webb	webb	PROPN
ejpam-3416	265	10	.	.	PUNCT
ejpam-3416	266	1	immunotherapy	immunotherapy	NOUN
ejpam-3416	266	2	of	of	ADP
ejpam-3416	266	3	hiv-1	hiv-1	X
ejpam-3416	266	4	infection	infection	NOUN
ejpam-3416	266	5	,	,	PUNCT
ejpam-3416	266	6	journal	journal	NOUN
ejpam-3416	266	7	of	of	ADP
ejpam-3416	266	8	biosciences	bioscience	NOUN
ejpam-3416	266	9	.	.	PUNCT
ejpam-3416	267	1	6(1	6(1	NUM
ejpam-3416	267	2	):	):	PUNCT
ejpam-3416	268	1	71–83	71–83	NUM
ejpam-3416	268	2	,	,	PUNCT
ejpam-3416	268	3	1998	1998	NUM
ejpam-3416	268	4	.	.	PUNCT
ejpam-3416	269	1	[	[	X
ejpam-3416	269	2	16	16	NUM
ejpam-3416	269	3	]	]	X
ejpam-3416	269	4	k.r	k.r	PROPN
ejpam-3416	269	5	.	.	PROPN
ejpam-3416	269	6	fister	fister	PROPN
ejpam-3416	269	7	,	,	PUNCT
ejpam-3416	269	8	s.	s.	PROPN
ejpam-3416	269	9	lenhart	lenhart	PROPN
ejpam-3416	269	10	,	,	PUNCT
ejpam-3416	269	11	j.	j.	PROPN
ejpam-3416	269	12	s.	s.	PROPN
ejpam-3416	269	13	mc	mc	PROPN
ejpam-3416	269	14	nally	nally	ADV
ejpam-3416	269	15	.	.	PUNCT
ejpam-3416	270	1	optimizing	optimize	VERB
ejpam-3416	270	2	chemotherapy	chemotherapy	NOUN
ejpam-3416	270	3	in	in	ADP
ejpam-3416	270	4	an	an	DET
ejpam-3416	270	5	hiv	hiv	PROPN
ejpam-3416	270	6	model	model	NOUN
ejpam-3416	270	7	.	.	PUNCT
ejpam-3416	271	1	electronic	electronic	ADJ
ejpam-3416	271	2	journal	journal	NOUN
ejpam-3416	271	3	of	of	ADP
ejpam-3416	271	4	differential	differential	ADJ
ejpam-3416	271	5	equations,3	equations,3	NOUN
ejpam-3416	271	6	:	:	PUNCT
ejpam-3416	271	7	20–32	20–32	NUM
ejpam-3416	271	8	,	,	PUNCT
ejpam-3416	271	9	1998	1998	NUM
ejpam-3416	271	10	.	.	PUNCT
ejpam-3416	272	1	[	[	X
ejpam-3416	272	2	17	17	NUM
ejpam-3416	272	3	]	]	X
ejpam-3416	272	4	d	d	X
ejpam-3416	272	5	l	l	NOUN
ejpam-3416	272	6	lukes	lukes	PROPN
ejpam-3416	272	7	.	.	PUNCT
ejpam-3416	273	1	differential	differential	ADJ
ejpam-3416	273	2	equations	equation	NOUN
ejpam-3416	273	3	classical	classical	ADJ
ejpam-3416	273	4	to	to	ADP
ejpam-3416	273	5	controlled	control	VERB
ejpam-3416	273	6	,	,	PUNCT
ejpam-3416	273	7	mathematics	mathematic	NOUN
ejpam-3416	273	8	in	in	ADP
ejpam-3416	273	9	science	science	NOUN
ejpam-3416	273	10	and	and	CCONJ
ejpam-3416	273	11	engineering	engineering	NOUN
ejpam-3416	273	12	.	.	PUNCT
ejpam-3416	274	1	academic	academic	ADJ
ejpam-3416	274	2	press	press	NOUN
ejpam-3416	274	3	,	,	PUNCT
ejpam-3416	274	4	new	new	PROPN
ejpam-3416	274	5	york	york	PROPN
ejpam-3416	274	6	.	.	PUNCT
ejpam-3416	275	1	1982	1982	NUM
ejpam-3416	275	2	.	.	PUNCT
ejpam-3416	276	1	[	[	X
ejpam-3416	276	2	18	18	NUM
ejpam-3416	276	3	]	]	PUNCT
ejpam-3416	276	4	pontryagin	pontryagin	NOUN
ejpam-3416	276	5	l	l	PROPN
ejpam-3416	276	6	s	s	PROPN
ejpam-3416	276	7	,	,	PUNCT
ejpam-3416	276	8	boltyanskii	boltyanskii	VERB
ejpam-3416	276	9	v.	v.	ADP
ejpam-3416	276	10	g.	g.	PROPN
ejpam-3416	276	11	gamkrelidze	gamkrelidze	PROPN
ejpam-3416	277	1	r	r	PROPN
ejpam-3416	277	2	v	v	NOUN
ejpam-3416	277	3	,	,	PUNCT
ejpam-3416	277	4	and	and	CCONJ
ejpam-3416	277	5	mishchenko	mishchenko	PROPN
ejpam-3416	277	6	e	e	PROPN
ejpam-3416	277	7	f.	f.	PROPN
ejpam-3416	277	8	the	the	DET
ejpam-3416	277	9	mathematical	mathematical	ADJ
ejpam-3416	277	10	theory	theory	NOUN
ejpam-3416	277	11	of	of	ADP
ejpam-3416	277	12	optimal	optimal	ADJ
ejpam-3416	277	13	processes	process	NOUN
ejpam-3416	277	14	,	,	PUNCT
ejpam-3416	277	15	vol	vol	NOUN
ejpam-3416	277	16	4	4	NUM
ejpam-3416	277	17	,	,	PUNCT
ejpam-3416	277	18	gordon	gordon	PROPN
ejpam-3416	277	19	and	and	CCONJ
ejpam-3416	277	20	breach	breach	VERB
ejpam-3416	277	21	science	science	NOUN
ejpam-3416	277	22	publishers	publisher	NOUN
ejpam-3416	277	23	.	.	PUNCT
ejpam-3416	278	1	1986	1986	NUM
ejpam-3416	278	2	.	.	PUNCT
ejpam-3416	279	1	[	[	X
ejpam-3416	279	2	19	19	NUM
ejpam-3416	279	3	]	]	X
ejpam-3416	279	4	m	m	VERB
ejpam-3416	279	5	shrazian	shrazian	ADJ
ejpam-3416	279	6	and	and	CCONJ
ejpam-3416	279	7	m	m	PROPN
ejpam-3416	279	8	h	h	NOUN
ejpam-3416	279	9	farahi	farahi	ADJ
ejpam-3416	279	10	.	.	PUNCT
ejpam-3416	280	1	optimal	optimal	ADJ
ejpam-3416	280	2	control	control	NOUN
ejpam-3416	280	3	strategy	strategy	NOUN
ejpam-3416	280	4	for	for	ADP
ejpam-3416	280	5	a	a	DET
ejpam-3416	280	6	fully	fully	ADV
ejpam-3416	280	7	determined	determined	ADJ
ejpam-3416	280	8	hiv	hiv	PROPN
ejpam-3416	280	9	model	model	NOUN
ejpam-3416	280	10	.	.	PUNCT
ejpam-3416	281	1	intelligent	intelligent	ADJ
ejpam-3416	281	2	control	control	NOUN
ejpam-3416	281	3	and	and	CCONJ
ejpam-3416	281	4	automation	automation	NOUN
ejpam-3416	281	5	.	.	PUNCT
ejpam-3416	282	1	1:15–19,2010	1:15–19,2010	NOUN
ejpam-3416	282	2	.	.	PUNCT
ejpam-3416	283	1	references	reference	NOUN
ejpam-3416	283	2	518	518	NUM
ejpam-3416	283	3	[	[	X
ejpam-3416	283	4	20	20	NUM
ejpam-3416	283	5	]	]	PUNCT
ejpam-3416	283	6	a	a	DET
ejpam-3416	283	7	perelson	perelson	NOUN
ejpam-3416	283	8	,	,	PUNCT
ejpam-3416	283	9	p	p	PROPN
ejpam-3416	283	10	nelson	nelson	PROPN
ejpam-3416	283	11	.	.	PUNCT
ejpam-3416	284	1	mathematical	mathematical	ADJ
ejpam-3416	284	2	models	model	NOUN
ejpam-3416	284	3	of	of	ADP
ejpam-3416	284	4	hiv	hiv	PROPN
ejpam-3416	284	5	dynamics	dynamic	NOUN
ejpam-3416	284	6	in	in	ADP
ejpam-3416	284	7	vivo	vivo	NOUN
ejpam-3416	284	8	.	.	PUNCT
ejpam-3416	285	1	the	the	DET
ejpam-3416	285	2	siam	siam	PROPN
ejpam-3416	285	3	review	review	PROPN
ejpam-3416	285	4	,	,	PUNCT
ejpam-3416	285	5	41:3–44	41:3–44	NUM
ejpam-3416	285	6	,	,	PUNCT
ejpam-3416	285	7	1999	1999	NUM
ejpam-3416	285	8	.	.	PUNCT
ejpam-3416	286	1	[	[	X
ejpam-3416	286	2	21	21	NUM
ejpam-3416	286	3	]	]	X
ejpam-3416	286	4	a	a	DET
ejpam-3416	286	5	perelson	perelson	NOUN
ejpam-3416	286	6	,	,	PUNCT
ejpam-3416	286	7	a	a	DET
ejpam-3416	286	8	neumann	neumann	PROPN
ejpam-3416	286	9	,	,	PUNCT
ejpam-3416	286	10	hiv-1	hiv-1	ADJ
ejpam-3416	286	11	dynamics	dynamic	NOUN
ejpam-3416	286	12	in	in	ADP
ejpam-3416	286	13	vivo	vivo	NOUN
ejpam-3416	286	14	:	:	PUNCT
ejpam-3416	286	15	virion	virion	NOUN
ejpam-3416	286	16	clearance	clearance	NOUN
ejpam-3416	286	17	rate	rate	NOUN
ejpam-3416	286	18	,	,	PUNCT
ejpam-3416	286	19	infected	infected	ADJ
ejpam-3416	286	20	cell	cell	NOUN
ejpam-3416	286	21	life	life	NOUN
ejpam-3416	286	22	-	-	PUNCT
ejpam-3416	286	23	span	span	NOUN
ejpam-3416	286	24	,	,	PUNCT
ejpam-3416	286	25	and	and	CCONJ
ejpam-3416	286	26	viral	viral	ADJ
ejpam-3416	286	27	generation	generation	NOUN
ejpam-3416	286	28	time	time	NOUN
ejpam-3416	286	29	.	.	PUNCT
ejpam-3416	287	1	science	science	NOUN
ejpam-3416	287	2	,	,	PUNCT
ejpam-3416	287	3	271:1582–1586	271:1582–1586	NUM
ejpam-3416	287	4	,	,	PUNCT
ejpam-3416	287	5	1996	1996	NUM
ejpam-3416	287	6	.	.	PUNCT
ejpam-3416	288	1	[	[	X
ejpam-3416	288	2	22	22	NUM
ejpam-3416	288	3	]	]	X
ejpam-3416	288	4	x	x	X
ejpam-3416	288	5	zhou	zhou	PROPN
ejpam-3416	288	6	,	,	PUNCT
ejpam-3416	288	7	x	x	PART
ejpam-3416	288	8	song	song	NOUN
ejpam-3416	288	9	,	,	PUNCT
ejpam-3416	288	10	xshi	xshi	PROPN
ejpam-3416	288	11	.	.	PUNCT
ejpam-3416	289	1	a	a	DET
ejpam-3416	289	2	differential	differential	ADJ
ejpam-3416	289	3	equation	equation	NOUN
ejpam-3416	289	4	model	model	NOUN
ejpam-3416	289	5	of	of	ADP
ejpam-3416	289	6	hiv	hiv	PROPN
ejpam-3416	289	7	infection	infection	NOUN
ejpam-3416	289	8	of	of	ADP
ejpam-3416	289	9	cd4	cd4	PROPN
ejpam-3416	289	10	+	+	PROPN
ejpam-3416	289	11	tcells	tcell	NOUN
ejpam-3416	289	12	with	with	ADP
ejpam-3416	289	13	cure	cure	NOUN
ejpam-3416	289	14	rate	rate	NOUN
ejpam-3416	289	15	.	.	PUNCT
ejpam-3416	290	1	journal	journal	PROPN
ejpam-3416	290	2	of	of	ADP
ejpam-3416	290	3	mathematcialanaysisand	mathematcialanaysisand	PROPN
ejpam-3416	290	4	applications	application	NOUN
ejpam-3416	290	5	342	342	NUM
ejpam-3416	290	6	:	:	PUNCT
ejpam-3416	290	7	1342–1355	1342–1355	NUM
ejpam-3416	290	8	,	,	PUNCT
ejpam-3416	290	9	2008	2008	NUM
ejpam-3416	290	10	.	.	PUNCT