id	sid	tid	token	lemma	pos
cord-248050-apjwnwky	1	1	key	key	ADJ
cord-248050-apjwnwky	1	2	:	:	PUNCT
cord-248050-apjwnwky	1	3	cord-248050	cord-248050	ADJ
cord-248050-apjwnwky	1	4	-	-	PUNCT
cord-248050-apjwnwky	1	5	apjwnwky	apjwnwky	NOUN
cord-248050-apjwnwky	1	6	authors	author	NOUN
cord-248050-apjwnwky	1	7	:	:	PUNCT
cord-248050-apjwnwky	1	8	vrugt	vrugt	PROPN
cord-248050-apjwnwky	1	9	,	,	PUNCT
cord-248050-apjwnwky	1	10	michael	michael	PROPN
cord-248050-apjwnwky	1	11	te	te	PROPN
cord-248050-apjwnwky	1	12	;	;	PUNCT
cord-248050-apjwnwky	1	13	bickmann	bickmann	PROPN
cord-248050-apjwnwky	1	14	,	,	PUNCT
cord-248050-apjwnwky	1	15	jens	jens	PROPN
cord-248050-apjwnwky	1	16	;	;	PUNCT
cord-248050-apjwnwky	1	17	wittkowski	wittkowski	PROPN
cord-248050-apjwnwky	1	18	,	,	PUNCT
cord-248050-apjwnwky	1	19	raphael	raphael	PROPN
cord-248050-apjwnwky	1	20	title	title	PROPN
cord-248050-apjwnwky	1	21	:	:	PUNCT
cord-248050-apjwnwky	1	22	effects	effect	NOUN
cord-248050-apjwnwky	1	23	of	of	ADP
cord-248050-apjwnwky	1	24	social	social	ADJ
cord-248050-apjwnwky	1	25	distancing	distancing	NOUN
cord-248050-apjwnwky	1	26	and	and	CCONJ
cord-248050-apjwnwky	1	27	isolation	isolation	NOUN
cord-248050-apjwnwky	1	28	on	on	ADP
cord-248050-apjwnwky	1	29	epidemic	epidemic	NOUN
cord-248050-apjwnwky	1	30	spreading	spread	VERB
cord-248050-apjwnwky	1	31	:	:	PUNCT
cord-248050-apjwnwky	1	32	a	a	DET
cord-248050-apjwnwky	1	33	dynamical	dynamical	ADJ
cord-248050-apjwnwky	1	34	density	density	NOUN
cord-248050-apjwnwky	1	35	functional	functional	ADJ
cord-248050-apjwnwky	1	36	theory	theory	NOUN
cord-248050-apjwnwky	1	37	model	model	NOUN
cord-248050-apjwnwky	1	38	date	date	NOUN
cord-248050-apjwnwky	1	39	:	:	PUNCT
cord-248050-apjwnwky	1	40	2020	2020	NUM
cord-248050-apjwnwky	1	41	-	-	SYM
cord-248050-apjwnwky	1	42	03	03	NUM
cord-248050-apjwnwky	1	43	-	-	PUNCT
cord-248050-apjwnwky	1	44	31	31	NUM
cord-248050-apjwnwky	1	45	journal	journal	NOUN
cord-248050-apjwnwky	1	46	:	:	PUNCT
cord-248050-apjwnwky	1	47	nan	nan	PROPN
cord-248050-apjwnwky	1	48	doi	doi	PROPN
cord-248050-apjwnwky	1	49	:	:	PUNCT
cord-248050-apjwnwky	1	50	nan	nan	PROPN
cord-248050-apjwnwky	1	51	sha	shall	AUX
cord-248050-apjwnwky	1	52	:	:	PUNCT
cord-248050-apjwnwky	1	53	doc_id	doc_id	X
cord-248050-apjwnwky	1	54	:	:	PUNCT
cord-248050-apjwnwky	1	55	248050	248050	NUM
cord-248050-apjwnwky	1	56	cord_uid	cord_uid	PROPN
cord-248050-apjwnwky	1	57	:	:	PUNCT
cord-248050-apjwnwky	1	58	apjwnwky	apjwnwky	PROPN
cord-248050-apjwnwky	1	59	for	for	ADP
cord-248050-apjwnwky	1	60	preventing	prevent	VERB
cord-248050-apjwnwky	1	61	the	the	DET
cord-248050-apjwnwky	1	62	spread	spread	NOUN
cord-248050-apjwnwky	1	63	of	of	ADP
cord-248050-apjwnwky	1	64	epidemics	epidemic	NOUN
cord-248050-apjwnwky	1	65	such	such	ADJ
cord-248050-apjwnwky	1	66	as	as	ADP
cord-248050-apjwnwky	1	67	the	the	DET
cord-248050-apjwnwky	1	68	coronavirus	coronavirus	NOUN
cord-248050-apjwnwky	1	69	disease	disease	NOUN
cord-248050-apjwnwky	1	70	covid-19	covid-19	PROPN
cord-248050-apjwnwky	1	71	,	,	PUNCT
cord-248050-apjwnwky	1	72	social	social	ADJ
cord-248050-apjwnwky	1	73	distancing	distancing	NOUN
cord-248050-apjwnwky	1	74	and	and	CCONJ
cord-248050-apjwnwky	1	75	the	the	DET
cord-248050-apjwnwky	1	76	isolation	isolation	NOUN
cord-248050-apjwnwky	1	77	of	of	ADP
cord-248050-apjwnwky	1	78	infected	infected	ADJ
cord-248050-apjwnwky	1	79	persons	person	NOUN
cord-248050-apjwnwky	1	80	are	be	AUX
cord-248050-apjwnwky	1	81	crucial	crucial	ADJ
cord-248050-apjwnwky	1	82	.	.	PUNCT
cord-248050-apjwnwky	2	1	however	however	ADV
cord-248050-apjwnwky	2	2	,	,	PUNCT
cord-248050-apjwnwky	2	3	existing	exist	VERB
cord-248050-apjwnwky	2	4	reaction	reaction	NOUN
cord-248050-apjwnwky	2	5	-	-	PUNCT
cord-248050-apjwnwky	2	6	diffusion	diffusion	NOUN
cord-248050-apjwnwky	2	7	equations	equation	NOUN
cord-248050-apjwnwky	2	8	for	for	ADP
cord-248050-apjwnwky	2	9	epidemic	epidemic	NOUN
cord-248050-apjwnwky	2	10	spreading	spread	VERB
cord-248050-apjwnwky	2	11	are	be	AUX
cord-248050-apjwnwky	2	12	incapable	incapable	ADJ
cord-248050-apjwnwky	2	13	of	of	ADP
cord-248050-apjwnwky	2	14	describing	describe	VERB
cord-248050-apjwnwky	2	15	these	these	DET
cord-248050-apjwnwky	2	16	effects	effect	NOUN
cord-248050-apjwnwky	2	17	.	.	PUNCT
cord-248050-apjwnwky	3	1	we	we	PRON
cord-248050-apjwnwky	3	2	present	present	VERB
cord-248050-apjwnwky	3	3	an	an	DET
cord-248050-apjwnwky	3	4	extended	extended	ADJ
cord-248050-apjwnwky	3	5	model	model	NOUN
cord-248050-apjwnwky	3	6	for	for	ADP
cord-248050-apjwnwky	3	7	disease	disease	NOUN
cord-248050-apjwnwky	3	8	spread	spread	VERB
cord-248050-apjwnwky	3	9	based	base	VERB
cord-248050-apjwnwky	3	10	on	on	ADP
cord-248050-apjwnwky	3	11	combining	combine	VERB
cord-248050-apjwnwky	3	12	an	an	DET
cord-248050-apjwnwky	3	13	sir	sir	NOUN
cord-248050-apjwnwky	3	14	model	model	NOUN
cord-248050-apjwnwky	3	15	with	with	ADP
cord-248050-apjwnwky	3	16	a	a	DET
cord-248050-apjwnwky	3	17	dynamical	dynamical	ADJ
cord-248050-apjwnwky	3	18	density	density	NOUN
cord-248050-apjwnwky	3	19	functional	functional	ADJ
cord-248050-apjwnwky	3	20	theory	theory	NOUN
cord-248050-apjwnwky	3	21	where	where	SCONJ
cord-248050-apjwnwky	3	22	social	social	ADJ
cord-248050-apjwnwky	3	23	distancing	distancing	NOUN
cord-248050-apjwnwky	3	24	and	and	CCONJ
cord-248050-apjwnwky	3	25	isolation	isolation	NOUN
cord-248050-apjwnwky	3	26	of	of	ADP
cord-248050-apjwnwky	3	27	infected	infected	ADJ
cord-248050-apjwnwky	3	28	persons	person	NOUN
cord-248050-apjwnwky	3	29	are	be	AUX
cord-248050-apjwnwky	3	30	explicitly	explicitly	ADV
cord-248050-apjwnwky	3	31	taken	take	VERB
cord-248050-apjwnwky	3	32	into	into	ADP
cord-248050-apjwnwky	3	33	account	account	NOUN
cord-248050-apjwnwky	3	34	.	.	PUNCT
cord-248050-apjwnwky	4	1	the	the	DET
cord-248050-apjwnwky	4	2	model	model	NOUN
cord-248050-apjwnwky	4	3	shows	show	VERB
cord-248050-apjwnwky	4	4	interesting	interesting	ADJ
cord-248050-apjwnwky	4	5	nonequilibrium	nonequilibrium	NOUN
cord-248050-apjwnwky	4	6	phase	phase	NOUN
cord-248050-apjwnwky	4	7	separation	separation	NOUN
cord-248050-apjwnwky	4	8	associated	associate	VERB
cord-248050-apjwnwky	4	9	with	with	ADP
cord-248050-apjwnwky	4	10	a	a	DET
cord-248050-apjwnwky	4	11	reduction	reduction	NOUN
cord-248050-apjwnwky	4	12	of	of	ADP
cord-248050-apjwnwky	4	13	the	the	DET
cord-248050-apjwnwky	4	14	number	number	NOUN
cord-248050-apjwnwky	4	15	of	of	ADP
cord-248050-apjwnwky	4	16	infections	infection	NOUN
cord-248050-apjwnwky	4	17	,	,	PUNCT
cord-248050-apjwnwky	4	18	and	and	CCONJ
cord-248050-apjwnwky	4	19	allows	allow	VERB
cord-248050-apjwnwky	4	20	for	for	ADP
cord-248050-apjwnwky	4	21	new	new	ADJ
cord-248050-apjwnwky	4	22	insights	insight	NOUN
cord-248050-apjwnwky	4	23	into	into	ADP
cord-248050-apjwnwky	4	24	the	the	DET
cord-248050-apjwnwky	4	25	control	control	NOUN
cord-248050-apjwnwky	4	26	of	of	ADP
cord-248050-apjwnwky	4	27	pandemics	pandemic	NOUN
cord-248050-apjwnwky	4	28	.	.	PUNCT
cord-248050-apjwnwky	5	1	controlling	control	VERB
cord-248050-apjwnwky	5	2	the	the	DET
cord-248050-apjwnwky	5	3	spread	spread	NOUN
cord-248050-apjwnwky	5	4	of	of	ADP
cord-248050-apjwnwky	5	5	infectious	infectious	ADJ
cord-248050-apjwnwky	5	6	diseases	disease	NOUN
cord-248050-apjwnwky	5	7	,	,	PUNCT
cord-248050-apjwnwky	5	8	such	such	ADJ
cord-248050-apjwnwky	5	9	as	as	ADP
cord-248050-apjwnwky	5	10	the	the	DET
cord-248050-apjwnwky	5	11	plague	plague	NOUN
cord-248050-apjwnwky	5	12	[	[	PUNCT
cord-248050-apjwnwky	5	13	1	1	NUM
cord-248050-apjwnwky	5	14	,	,	PUNCT
cord-248050-apjwnwky	5	15	2	2	NUM
cord-248050-apjwnwky	5	16	]	]	PUNCT
cord-248050-apjwnwky	5	17	or	or	CCONJ
cord-248050-apjwnwky	5	18	the	the	DET
cord-248050-apjwnwky	5	19	spanish	spanish	ADJ
cord-248050-apjwnwky	5	20	flu	flu	NOUN
cord-248050-apjwnwky	5	21	[	[	PUNCT
cord-248050-apjwnwky	5	22	3	3	NUM
cord-248050-apjwnwky	5	23	]	]	PUNCT
cord-248050-apjwnwky	5	24	,	,	PUNCT
cord-248050-apjwnwky	5	25	has	have	AUX
cord-248050-apjwnwky	5	26	been	be	AUX
cord-248050-apjwnwky	5	27	an	an	DET
cord-248050-apjwnwky	5	28	important	important	ADJ
cord-248050-apjwnwky	5	29	topic	topic	NOUN
cord-248050-apjwnwky	5	30	throughout	throughout	ADP
cord-248050-apjwnwky	5	31	human	human	ADJ
cord-248050-apjwnwky	5	32	history	history	NOUN
cord-248050-apjwnwky	5	33	[	[	X
cord-248050-apjwnwky	5	34	4	4	NUM
cord-248050-apjwnwky	5	35	]	]	PUNCT
cord-248050-apjwnwky	5	36	.	.	PUNCT
cord-248050-apjwnwky	6	1	currently	currently	ADV
cord-248050-apjwnwky	6	2	,	,	PUNCT
cord-248050-apjwnwky	6	3	it	it	PRON
cord-248050-apjwnwky	6	4	is	be	AUX
cord-248050-apjwnwky	6	5	of	of	ADP
cord-248050-apjwnwky	6	6	particular	particular	ADJ
cord-248050-apjwnwky	6	7	interest	interest	NOUN
cord-248050-apjwnwky	6	8	due	due	ADP
cord-248050-apjwnwky	6	9	to	to	ADP
cord-248050-apjwnwky	6	10	the	the	DET
cord-248050-apjwnwky	6	11	worldwide	worldwide	ADJ
cord-248050-apjwnwky	6	12	outbreak	outbreak	NOUN
cord-248050-apjwnwky	6	13	of	of	ADP
cord-248050-apjwnwky	6	14	the	the	DET
cord-248050-apjwnwky	6	15	coronavirus	coronavirus	NOUN
cord-248050-apjwnwky	6	16	disease	disease	NOUN
cord-248050-apjwnwky	6	17	2019	2019	NUM
cord-248050-apjwnwky	6	18	induced	induce	VERB
cord-248050-apjwnwky	6	19	by	by	ADP
cord-248050-apjwnwky	6	20	the	the	DET
cord-248050-apjwnwky	6	21	novel	novel	ADJ
cord-248050-apjwnwky	6	22	coronavirus	coronavirus	PROPN
cord-248050-apjwnwky	6	23	sars	sar	NOUN
cord-248050-apjwnwky	6	24	-	-	PUNCT
cord-248050-apjwnwky	6	25	cov-2	cov-2	PUNCT
cord-248050-apjwnwky	6	26	[	[	X
cord-248050-apjwnwky	6	27	5	5	NUM
cord-248050-apjwnwky	6	28	]	]	PUNCT
cord-248050-apjwnwky	6	29	[	[	X
cord-248050-apjwnwky	6	30	6	6	NUM
cord-248050-apjwnwky	6	31	]	]	PUNCT
cord-248050-apjwnwky	6	32	[	[	X
cord-248050-apjwnwky	6	33	7	7	NUM
cord-248050-apjwnwky	6	34	]	]	PUNCT
cord-248050-apjwnwky	6	35	[	[	X
cord-248050-apjwnwky	6	36	8	8	NUM
cord-248050-apjwnwky	6	37	]	]	PUNCT
cord-248050-apjwnwky	6	38	[	[	X
cord-248050-apjwnwky	6	39	9	9	NUM
cord-248050-apjwnwky	6	40	]	]	PUNCT
cord-248050-apjwnwky	6	41	[	[	X
cord-248050-apjwnwky	6	42	10	10	NUM
cord-248050-apjwnwky	6	43	]	]	PUNCT
cord-248050-apjwnwky	6	44	.	.	PUNCT
cord-248050-apjwnwky	7	1	the	the	DET
cord-248050-apjwnwky	7	2	spread	spread	NOUN
cord-248050-apjwnwky	7	3	of	of	ADP
cord-248050-apjwnwky	7	4	this	this	DET
cord-248050-apjwnwky	7	5	disease	disease	NOUN
cord-248050-apjwnwky	7	6	is	be	AUX
cord-248050-apjwnwky	7	7	difficult	difficult	ADJ
cord-248050-apjwnwky	7	8	to	to	PART
cord-248050-apjwnwky	7	9	control	control	VERB
cord-248050-apjwnwky	7	10	,	,	PUNCT
cord-248050-apjwnwky	7	11	since	since	SCONJ
cord-248050-apjwnwky	7	12	the	the	DET
cord-248050-apjwnwky	7	13	majority	majority	NOUN
cord-248050-apjwnwky	7	14	of	of	ADP
cord-248050-apjwnwky	7	15	infections	infection	NOUN
cord-248050-apjwnwky	7	16	are	be	AUX
cord-248050-apjwnwky	7	17	not	not	PART
cord-248050-apjwnwky	7	18	detected	detect	VERB
cord-248050-apjwnwky	7	19	[	[	NOUN
cord-248050-apjwnwky	7	20	11	11	NUM
cord-248050-apjwnwky	7	21	]	]	PUNCT
cord-248050-apjwnwky	7	22	.	.	PUNCT
cord-248050-apjwnwky	8	1	due	due	ADP
cord-248050-apjwnwky	8	2	to	to	ADP
cord-248050-apjwnwky	8	3	the	the	DET
cord-248050-apjwnwky	8	4	lack	lack	NOUN
cord-248050-apjwnwky	8	5	of	of	ADP
cord-248050-apjwnwky	8	6	vaccines	vaccine	NOUN
cord-248050-apjwnwky	8	7	,	,	PUNCT
cord-248050-apjwnwky	8	8	attempts	attempt	VERB
cord-248050-apjwnwky	8	9	to	to	PART
cord-248050-apjwnwky	8	10	control	control	VERB
cord-248050-apjwnwky	8	11	the	the	DET
cord-248050-apjwnwky	8	12	pandemic	pandemic	NOUN
cord-248050-apjwnwky	8	13	have	have	AUX
cord-248050-apjwnwky	8	14	mainly	mainly	ADV
cord-248050-apjwnwky	8	15	focused	focus	VERB
cord-248050-apjwnwky	8	16	on	on	ADP
cord-248050-apjwnwky	8	17	social	social	ADJ
cord-248050-apjwnwky	8	18	distancing	distancing	NOUN
cord-248050-apjwnwky	8	19	[	[	PUNCT
cord-248050-apjwnwky	8	20	12	12	NUM
cord-248050-apjwnwky	8	21	]	]	PUNCT
cord-248050-apjwnwky	8	22	[	[	X
cord-248050-apjwnwky	8	23	13	13	NUM
cord-248050-apjwnwky	8	24	]	]	PUNCT
cord-248050-apjwnwky	8	25	[	[	X
cord-248050-apjwnwky	8	26	14	14	NUM
cord-248050-apjwnwky	8	27	]	]	PUNCT
cord-248050-apjwnwky	8	28	[	[	X
cord-248050-apjwnwky	8	29	15	15	NUM
cord-248050-apjwnwky	8	30	]	]	PUNCT
cord-248050-apjwnwky	8	31	and	and	CCONJ
cord-248050-apjwnwky	8	32	quarantine	quarantine	NOUN
cord-248050-apjwnwky	8	33	[	[	PUNCT
cord-248050-apjwnwky	8	34	16	16	NUM
cord-248050-apjwnwky	8	35	,	,	PUNCT
cord-248050-apjwnwky	8	36	17	17	NUM
cord-248050-apjwnwky	8	37	]	]	PUNCT
cord-248050-apjwnwky	8	38	,	,	PUNCT
cord-248050-apjwnwky	8	39	i.e.	i.e.	X
cord-248050-apjwnwky	8	40	,	,	PUNCT
cord-248050-apjwnwky	8	41	the	the	DET
cord-248050-apjwnwky	8	42	general	general	ADJ
cord-248050-apjwnwky	8	43	reduction	reduction	NOUN
cord-248050-apjwnwky	8	44	of	of	ADP
cord-248050-apjwnwky	8	45	social	social	ADJ
cord-248050-apjwnwky	8	46	interactions	interaction	NOUN
cord-248050-apjwnwky	8	47	,	,	PUNCT
cord-248050-apjwnwky	8	48	and	and	CCONJ
cord-248050-apjwnwky	8	49	in	in	ADP
cord-248050-apjwnwky	8	50	particular	particular	ADJ
cord-248050-apjwnwky	8	51	the	the	DET
cord-248050-apjwnwky	8	52	isolation	isolation	NOUN
cord-248050-apjwnwky	8	53	of	of	ADP
cord-248050-apjwnwky	8	54	persons	person	NOUN
cord-248050-apjwnwky	8	55	with	with	ADP
cord-248050-apjwnwky	8	56	actual	actual	ADJ
cord-248050-apjwnwky	8	57	or	or	CCONJ
cord-248050-apjwnwky	8	58	suspected	suspect	VERB
cord-248050-apjwnwky	8	59	infection	infection	NOUN
cord-248050-apjwnwky	8	60	.	.	PUNCT
cord-248050-apjwnwky	9	1	while	while	SCONJ
cord-248050-apjwnwky	9	2	political	political	ADJ
cord-248050-apjwnwky	9	3	decisions	decision	NOUN
cord-248050-apjwnwky	9	4	on	on	ADP
cord-248050-apjwnwky	9	5	such	such	ADJ
cord-248050-apjwnwky	9	6	measures	measure	NOUN
cord-248050-apjwnwky	9	7	require	require	VERB
cord-248050-apjwnwky	9	8	a	a	DET
cord-248050-apjwnwky	9	9	way	way	NOUN
cord-248050-apjwnwky	9	10	for	for	ADP
cord-248050-apjwnwky	9	11	predicting	predict	VERB
cord-248050-apjwnwky	9	12	their	their	PRON
cord-248050-apjwnwky	9	13	effects	effect	NOUN
cord-248050-apjwnwky	9	14	,	,	PUNCT
cord-248050-apjwnwky	9	15	existing	existing	ADJ
cord-248050-apjwnwky	9	16	theories	theory	NOUN
cord-248050-apjwnwky	9	17	do	do	AUX
cord-248050-apjwnwky	9	18	not	not	PART
cord-248050-apjwnwky	9	19	explicitly	explicitly	ADV
cord-248050-apjwnwky	9	20	take	take	VERB
cord-248050-apjwnwky	9	21	them	they	PRON
cord-248050-apjwnwky	9	22	into	into	ADP
cord-248050-apjwnwky	9	23	account	account	NOUN
cord-248050-apjwnwky	9	24	.	.	PUNCT
cord-248050-apjwnwky	10	1	in	in	ADP
cord-248050-apjwnwky	10	2	this	this	DET
cord-248050-apjwnwky	10	3	article	article	NOUN
cord-248050-apjwnwky	10	4	,	,	PUNCT
cord-248050-apjwnwky	10	5	we	we	PRON
cord-248050-apjwnwky	10	6	present	present	VERB
cord-248050-apjwnwky	10	7	a	a	DET
cord-248050-apjwnwky	10	8	dynamical	dynamical	ADJ
cord-248050-apjwnwky	10	9	density	density	NOUN
cord-248050-apjwnwky	10	10	functional	functional	ADJ
cord-248050-apjwnwky	10	11	theory	theory	NOUN
cord-248050-apjwnwky	10	12	(	(	PUNCT
cord-248050-apjwnwky	10	13	ddft	ddft	PROPN
cord-248050-apjwnwky	10	14	)	)	PUNCT
cord-248050-apjwnwky	11	1	[	[	PUNCT
cord-248050-apjwnwky	11	2	18	18	NUM
cord-248050-apjwnwky	11	3	]	]	PUNCT
cord-248050-apjwnwky	12	1	[	[	X
cord-248050-apjwnwky	12	2	19	19	NUM
cord-248050-apjwnwky	12	3	]	]	PUNCT
cord-248050-apjwnwky	12	4	[	[	X
cord-248050-apjwnwky	12	5	20	20	NUM
cord-248050-apjwnwky	12	6	]	]	PUNCT
cord-248050-apjwnwky	12	7	[	[	X
cord-248050-apjwnwky	12	8	21	21	NUM
cord-248050-apjwnwky	12	9	]	]	PUNCT
cord-248050-apjwnwky	12	10	for	for	ADP
cord-248050-apjwnwky	12	11	epidemic	epidemic	NOUN
cord-248050-apjwnwky	12	12	spreading	spread	VERB
cord-248050-apjwnwky	12	13	that	that	PRON
cord-248050-apjwnwky	12	14	allows	allow	VERB
cord-248050-apjwnwky	12	15	to	to	PART
cord-248050-apjwnwky	12	16	model	model	VERB
cord-248050-apjwnwky	12	17	the	the	DET
cord-248050-apjwnwky	12	18	effect	effect	NOUN
cord-248050-apjwnwky	12	19	of	of	ADP
cord-248050-apjwnwky	12	20	social	social	ADJ
cord-248050-apjwnwky	12	21	distancing	distancing	NOUN
cord-248050-apjwnwky	12	22	and	and	CCONJ
cord-248050-apjwnwky	12	23	isolation	isolation	NOUN
cord-248050-apjwnwky	12	24	on	on	ADP
cord-248050-apjwnwky	12	25	infection	infection	NOUN
cord-248050-apjwnwky	12	26	numbers	number	NOUN
cord-248050-apjwnwky	12	27	.	.	PUNCT
cord-248050-apjwnwky	13	1	a	a	DET
cord-248050-apjwnwky	13	2	quantitative	quantitative	ADJ
cord-248050-apjwnwky	13	3	understanding	understanding	NOUN
cord-248050-apjwnwky	13	4	of	of	ADP
cord-248050-apjwnwky	13	5	disease	disease	NOUN
cord-248050-apjwnwky	13	6	spreading	spread	VERB
cord-248050-apjwnwky	13	7	can	can	AUX
cord-248050-apjwnwky	13	8	be	be	AUX
cord-248050-apjwnwky	13	9	gained	gain	VERB
cord-248050-apjwnwky	13	10	from	from	ADP
cord-248050-apjwnwky	13	11	mathematical	mathematical	ADJ
cord-248050-apjwnwky	13	12	models	model	NOUN
cord-248050-apjwnwky	13	13	[	[	X
cord-248050-apjwnwky	13	14	22	22	NUM
cord-248050-apjwnwky	13	15	]	]	PUNCT
cord-248050-apjwnwky	13	16	[	[	X
cord-248050-apjwnwky	13	17	23	23	NUM
cord-248050-apjwnwky	13	18	]	]	PUNCT
cord-248050-apjwnwky	13	19	[	[	X
cord-248050-apjwnwky	13	20	24	24	NUM
cord-248050-apjwnwky	13	21	]	]	PUNCT
cord-248050-apjwnwky	13	22	[	[	X
cord-248050-apjwnwky	13	23	25	25	NUM
cord-248050-apjwnwky	13	24	]	]	PUNCT
cord-248050-apjwnwky	13	25	[	[	X
cord-248050-apjwnwky	13	26	26	26	NUM
cord-248050-apjwnwky	13	27	]	]	PUNCT
cord-248050-apjwnwky	13	28	[	[	X
cord-248050-apjwnwky	13	29	27	27	NUM
cord-248050-apjwnwky	13	30	]	]	PUNCT
cord-248050-apjwnwky	13	31	.	.	PUNCT
cord-248050-apjwnwky	14	1	a	a	DET
cord-248050-apjwnwky	14	2	wellknown	wellknown	ADJ
cord-248050-apjwnwky	14	3	theory	theory	NOUN
cord-248050-apjwnwky	14	4	for	for	ADP
cord-248050-apjwnwky	14	5	epidemic	epidemic	NOUN
cord-248050-apjwnwky	14	6	dynamics	dynamic	NOUN
cord-248050-apjwnwky	14	7	is	be	AUX
cord-248050-apjwnwky	14	8	the	the	DET
cord-248050-apjwnwky	14	9	sir	sir	PROPN
cord-248050-apjwnwky	14	10	model	model	NOUN
cord-248050-apjwnwky	15	1	[	[	X
cord-248050-apjwnwky	15	2	28	28	NUM
cord-248050-apjwnwky	15	3	]	]	PUNCT
cord-248050-apjwnwky	15	4	which	which	PRON
cord-248050-apjwnwky	15	5	has	have	AUX
cord-248050-apjwnwky	15	6	already	already	ADV
cord-248050-apjwnwky	15	7	been	be	AUX
cord-248050-apjwnwky	15	8	applied	apply	VERB
cord-248050-apjwnwky	15	9	to	to	ADP
cord-248050-apjwnwky	15	10	the	the	DET
cord-248050-apjwnwky	15	11	current	current	ADJ
cord-248050-apjwnwky	15	12	coronavirus	coronavirus	NOUN
cord-248050-apjwnwky	15	13	outbreak	outbreak	NOUN
cord-248050-apjwnwky	16	1	[	[	PUNCT
cord-248050-apjwnwky	16	2	29	29	NUM
cord-248050-apjwnwky	16	3	]	]	PUNCT
cord-248050-apjwnwky	16	4	[	[	X
cord-248050-apjwnwky	16	5	30	30	NUM
cord-248050-apjwnwky	16	6	]	]	PUNCT
cord-248050-apjwnwky	16	7	[	[	X
cord-248050-apjwnwky	16	8	31	31	NUM
cord-248050-apjwnwky	16	9	]	]	PUNCT
cord-248050-apjwnwky	16	10	.	.	PUNCT
cord-248050-apjwnwky	17	1	it	it	PRON
cord-248050-apjwnwky	17	2	is	be	AUX
cord-248050-apjwnwky	17	3	a	a	DET
cord-248050-apjwnwky	17	4	reaction	reaction	NOUN
cord-248050-apjwnwky	17	5	-	-	PUNCT
cord-248050-apjwnwky	17	6	model	model	NOUN
cord-248050-apjwnwky	17	7	that	that	PRON
cord-248050-apjwnwky	17	8	describes	describe	VERB
cord-248050-apjwnwky	17	9	the	the	DET
cord-248050-apjwnwky	17	10	number	number	NOUN
cord-248050-apjwnwky	17	11	of	of	ADP
cord-248050-apjwnwky	17	12	susceptible	susceptible	ADJ
cord-248050-apjwnwky	17	13	s	s	PROPN
cord-248050-apjwnwky	17	14	,	,	PUNCT
cord-248050-apjwnwky	17	15	infected	infect	VERB
cord-248050-apjwnwky	17	16	i	i	PRON
cord-248050-apjwnwky	17	17	,	,	PUNCT
cord-248050-apjwnwky	17	18	and	and	CCONJ
cord-248050-apjwnwky	17	19	recovered	recover	VERB
cord-248050-apjwnwky	17	20	r	r	NOUN
cord-248050-apjwnwky	17	21	individuals	individual	NOUN
cord-248050-apjwnwky	17	22	as	as	ADP
cord-248050-apjwnwky	17	23	a	a	DET
cord-248050-apjwnwky	17	24	function	function	NOUN
cord-248050-apjwnwky	17	25	of	of	ADP
cord-248050-apjwnwky	17	26	time	time	NOUN
cord-248050-apjwnwky	17	27	t.	t.	PROPN
cord-248050-apjwnwky	17	28	susceptible	susceptible	ADJ
cord-248050-apjwnwky	17	29	individuals	individual	NOUN
cord-248050-apjwnwky	17	30	get	get	VERB
cord-248050-apjwnwky	17	31	the	the	DET
cord-248050-apjwnwky	17	32	disease	disease	NOUN
cord-248050-apjwnwky	17	33	when	when	SCONJ
cord-248050-apjwnwky	17	34	meeting	meet	VERB
cord-248050-apjwnwky	17	35	infected	infect	VERB
cord-248050-apjwnwky	17	36	individuals	individual	NOUN
cord-248050-apjwnwky	17	37	at	at	ADP
cord-248050-apjwnwky	17	38	a	a	DET
cord-248050-apjwnwky	17	39	rate	rate	NOUN
cord-248050-apjwnwky	17	40	c.	c.	PROPN
cord-248050-apjwnwky	17	41	infected	infect	VERB
cord-248050-apjwnwky	17	42	persons	person	NOUN
cord-248050-apjwnwky	17	43	recover	recover	VERB
cord-248050-apjwnwky	17	44	from	from	ADP
cord-248050-apjwnwky	17	45	the	the	DET
cord-248050-apjwnwky	17	46	disease	disease	NOUN
cord-248050-apjwnwky	17	47	at	at	ADP
cord-248050-apjwnwky	17	48	a	a	DET
cord-248050-apjwnwky	17	49	rate	rate	NOUN
cord-248050-apjwnwky	17	50	w.	w.	NOUN
cord-248050-apjwnwky	17	51	when	when	SCONJ
cord-248050-apjwnwky	17	52	persons	person	NOUN
cord-248050-apjwnwky	17	53	have	have	AUX
cord-248050-apjwnwky	17	54	recovered	recover	VERB
cord-248050-apjwnwky	17	55	,	,	PUNCT
cord-248050-apjwnwky	17	56	they	they	PRON
cord-248050-apjwnwky	17	57	are	be	AUX
cord-248050-apjwnwky	17	58	immune	immune	ADJ
cord-248050-apjwnwky	17	59	to	to	ADP
cord-248050-apjwnwky	17	60	the	the	DET
cord-248050-apjwnwky	17	61	disease	disease	NOUN
cord-248050-apjwnwky	17	62	.	.	PUNCT
cord-248050-apjwnwky	18	1	a	a	DET
cord-248050-apjwnwky	18	2	drawback	drawback	NOUN
cord-248050-apjwnwky	18	3	of	of	ADP
cord-248050-apjwnwky	18	4	this	this	DET
cord-248050-apjwnwky	18	5	model	model	NOUN
cord-248050-apjwnwky	18	6	is	be	AUX
cord-248050-apjwnwky	18	7	that	that	SCONJ
cord-248050-apjwnwky	18	8	it	it	PRON
cord-248050-apjwnwky	18	9	describes	describe	VERB
cord-248050-apjwnwky	18	10	a	a	DET
cord-248050-apjwnwky	18	11	spatially	spatially	ADV
cord-248050-apjwnwky	18	12	homogeneous	homogeneous	ADJ
cord-248050-apjwnwky	18	13	dynamics	dynamic	NOUN
cord-248050-apjwnwky	18	14	,	,	PUNCT
cord-248050-apjwnwky	18	15	i.e.	i.e.	X
cord-248050-apjwnwky	18	16	,	,	PUNCT
cord-248050-apjwnwky	18	17	it	it	PRON
cord-248050-apjwnwky	18	18	does	do	AUX
cord-248050-apjwnwky	18	19	not	not	PART
cord-248050-apjwnwky	18	20	take	take	VERB
cord-248050-apjwnwky	18	21	into	into	ADP
cord-248050-apjwnwky	18	22	account	account	NOUN
cord-248050-apjwnwky	18	23	the	the	DET
cord-248050-apjwnwky	18	24	fact	fact	NOUN
cord-248050-apjwnwky	18	25	that	that	SCONJ
cord-248050-apjwnwky	18	26	healthy	healthy	ADJ
cord-248050-apjwnwky	18	27	and	and	CCONJ
cord-248050-apjwnwky	18	28	infected	infected	ADJ
cord-248050-apjwnwky	18	29	persons	person	NOUN
cord-248050-apjwnwky	18	30	are	be	AUX
cord-248050-apjwnwky	18	31	not	not	PART
cord-248050-apjwnwky	18	32	distributed	distribute	VERB
cord-248050-apjwnwky	18	33	homogeneously	homogeneously	ADV
cord-248050-apjwnwky	18	34	in	in	ADP
cord-248050-apjwnwky	18	35	space	space	NOUN
cord-248050-apjwnwky	18	36	,	,	PUNCT
cord-248050-apjwnwky	18	37	even	even	ADV
cord-248050-apjwnwky	18	38	though	though	SCONJ
cord-248050-apjwnwky	18	39	this	this	DET
cord-248050-apjwnwky	18	40	fact	fact	NOUN
cord-248050-apjwnwky	18	41	can	can	AUX
cord-248050-apjwnwky	18	42	have	have	VERB
cord-248050-apjwnwky	18	43	significant	significant	ADJ
cord-248050-apjwnwky	18	44	influence	influence	NOUN
cord-248050-apjwnwky	18	45	on	on	ADP
cord-248050-apjwnwky	18	46	the	the	DET
cord-248050-apjwnwky	18	47	pandemic	pandemic	NOUN
cord-248050-apjwnwky	18	48	[	[	PUNCT
cord-248050-apjwnwky	18	49	32	32	NUM
cord-248050-apjwnwky	18	50	,	,	PUNCT
cord-248050-apjwnwky	18	51	33	33	NUM
cord-248050-apjwnwky	18	52	]	]	PUNCT
cord-248050-apjwnwky	18	53	.	.	PUNCT
cord-248050-apjwnwky	19	1	to	to	PART
cord-248050-apjwnwky	19	2	allow	allow	VERB
cord-248050-apjwnwky	19	3	for	for	ADP
cord-248050-apjwnwky	19	4	spatial	spatial	ADJ
cord-248050-apjwnwky	19	5	dynamics	dynamic	NOUN
cord-248050-apjwnwky	19	6	,	,	PUNCT
cord-248050-apjwnwky	19	7	disease	disease	NOUN
cord-248050-apjwnwky	19	8	-	-	PUNCT
cord-248050-apjwnwky	19	9	spreading	spread	VERB
cord-248050-apjwnwky	19	10	theories	theory	NOUN
cord-248050-apjwnwky	19	11	such	such	ADJ
cord-248050-apjwnwky	19	12	as	as	ADP
cord-248050-apjwnwky	19	13	the	the	DET
cord-248050-apjwnwky	19	14	sir	sir	PROPN
cord-248050-apjwnwky	19	15	model	model	NOUN
cord-248050-apjwnwky	19	16	have	have	AUX
cord-248050-apjwnwky	19	17	been	be	AUX
cord-248050-apjwnwky	19	18	extended	extend	VERB
cord-248050-apjwnwky	19	19	to	to	ADP
cord-248050-apjwnwky	19	20	reactiondiffusion	reactiondiffusion	NOUN
cord-248050-apjwnwky	19	21	equations	equation	NOUN
cord-248050-apjwnwky	19	22	[	[	X
cord-248050-apjwnwky	19	23	34	34	NUM
cord-248050-apjwnwky	19	24	]	]	PUNCT
cord-248050-apjwnwky	19	25	[	[	X
cord-248050-apjwnwky	19	26	35	35	NUM
cord-248050-apjwnwky	19	27	]	]	PUNCT
cord-248050-apjwnwky	19	28	[	[	X
cord-248050-apjwnwky	19	29	36	36	NUM
cord-248050-apjwnwky	19	30	]	]	PUNCT
cord-248050-apjwnwky	19	31	[	[	X
cord-248050-apjwnwky	19	32	37	37	NUM
cord-248050-apjwnwky	19	33	]	]	PUNCT
cord-248050-apjwnwky	20	1	[	[	X
cord-248050-apjwnwky	20	2	38	38	NUM
cord-248050-apjwnwky	20	3	]	]	PUNCT
cord-248050-apjwnwky	20	4	[	[	X
cord-248050-apjwnwky	20	5	39	39	NUM
cord-248050-apjwnwky	20	6	]	]	PUNCT
cord-248050-apjwnwky	21	1	[	[	X
cord-248050-apjwnwky	21	2	40	40	NUM
cord-248050-apjwnwky	21	3	]	]	PUNCT
cord-248050-apjwnwky	21	4	[	[	X
cord-248050-apjwnwky	21	5	41	41	NUM
cord-248050-apjwnwky	21	6	]	]	PUNCT
cord-248050-apjwnwky	21	7	[	[	X
cord-248050-apjwnwky	21	8	42	42	NUM
cord-248050-apjwnwky	21	9	]	]	PUNCT
cord-248050-apjwnwky	21	10	[	[	X
cord-248050-apjwnwky	21	11	43	43	NUM
cord-248050-apjwnwky	21	12	]	]	PUNCT
cord-248050-apjwnwky	21	13	[	[	X
cord-248050-apjwnwky	21	14	44	44	NUM
cord-248050-apjwnwky	21	15	]	]	PUNCT
cord-248050-apjwnwky	21	16	,	,	PUNCT
cord-248050-apjwnwky	21	17	where	where	SCONJ
cord-248050-apjwnwky	21	18	a	a	DET
cord-248050-apjwnwky	21	19	term	term	NOUN
cord-248050-apjwnwky	21	20	d	d	X
cord-248050-apjwnwky	21	21	φ	φ	NOUN
cord-248050-apjwnwky	21	22	∇	∇	NOUN
cord-248050-apjwnwky	21	23	2	2	NUM
cord-248050-apjwnwky	21	24	φ	φ	NOUN
cord-248050-apjwnwky	21	25	with	with	ADP
cord-248050-apjwnwky	21	26	diffusion	diffusion	NOUN
cord-248050-apjwnwky	21	27	constant	constant	ADJ
cord-248050-apjwnwky	21	28	d	d	X
cord-248050-apjwnwky	21	29	φ	φ	NOUN
cord-248050-apjwnwky	21	30	is	be	AUX
cord-248050-apjwnwky	21	31	added	add	VERB
cord-248050-apjwnwky	21	32	on	on	ADP
cord-248050-apjwnwky	21	33	the	the	DET
cord-248050-apjwnwky	21	34	right	right	ADJ
cord-248050-apjwnwky	21	35	-	-	PUNCT
cord-248050-apjwnwky	21	36	hand	hand	NOUN
cord-248050-apjwnwky	21	37	side	side	NOUN
cord-248050-apjwnwky	21	38	of	of	ADP
cord-248050-apjwnwky	21	39	the	the	DET
cord-248050-apjwnwky	21	40	dynamical	dynamical	ADJ
cord-248050-apjwnwky	21	41	equation	equation	NOUN
cord-248050-apjwnwky	21	42	for	for	ADP
cord-248050-apjwnwky	21	43	φ	φ	PROPN
cord-248050-apjwnwky	21	44	=	=	X
cord-248050-apjwnwky	21	45	s	s	PROPN
cord-248050-apjwnwky	21	46	,	,	PUNCT
cord-248050-apjwnwky	21	47	i	i	PROPN
cord-248050-apjwnwky	21	48	,	,	PUNCT
cord-248050-apjwnwky	21	49	r.	r.	PROPN
cord-248050-apjwnwky	21	50	reaction	reaction	NOUN
cord-248050-apjwnwky	21	51	-	-	PUNCT
cord-248050-apjwnwky	21	52	diffusion	diffusion	NOUN
cord-248050-apjwnwky	21	53	equations	equation	NOUN
cord-248050-apjwnwky	21	54	,	,	PUNCT
cord-248050-apjwnwky	21	55	however	however	ADV
cord-248050-apjwnwky	21	56	,	,	PUNCT
cord-248050-apjwnwky	21	57	still	still	ADV
cord-248050-apjwnwky	21	58	have	have	VERB
cord-248050-apjwnwky	21	59	the	the	DET
cord-248050-apjwnwky	21	60	problem	problem	NOUN
cord-248050-apjwnwky	21	61	that	that	SCONJ
cord-248050-apjwnwky	21	62	they	they	PRON
cord-248050-apjwnwky	21	63	-being	-bee	VERB
cord-248050-apjwnwky	21	64	based	base	VERB
cord-248050-apjwnwky	21	65	on	on	ADP
cord-248050-apjwnwky	21	66	the	the	DET
cord-248050-apjwnwky	21	67	standard	standard	ADJ
cord-248050-apjwnwky	21	68	diffusion	diffusion	NOUN
cord-248050-apjwnwky	21	69	equation	equation	NOUN
cord-248050-apjwnwky	21	70	-do	-do	X
cord-248050-apjwnwky	21	71	not	not	PART
cord-248050-apjwnwky	21	72	take	take	VERB
cord-248050-apjwnwky	21	73	into	into	ADP
cord-248050-apjwnwky	21	74	account	account	NOUN
cord-248050-apjwnwky	21	75	particle	particle	NOUN
cord-248050-apjwnwky	21	76	interactions	interaction	NOUN
cord-248050-apjwnwky	21	77	other	other	ADJ
cord-248050-apjwnwky	21	78	than	than	ADP
cord-248050-apjwnwky	21	79	the	the	DET
cord-248050-apjwnwky	21	80	reactions	reaction	NOUN
cord-248050-apjwnwky	21	81	.	.	PUNCT
cord-248050-apjwnwky	22	1	this	this	DET
cord-248050-apjwnwky	22	2	issue	issue	NOUN
cord-248050-apjwnwky	22	3	arises	arise	VERB
cord-248050-apjwnwky	22	4	,	,	PUNCT
cord-248050-apjwnwky	22	5	e.g.	e.g.	ADV
cord-248050-apjwnwky	22	6	,	,	PUNCT
cord-248050-apjwnwky	22	7	in	in	ADP
cord-248050-apjwnwky	22	8	chemical	chemical	NOUN
cord-248050-apjwnwky	22	9	reactions	reaction	NOUN
cord-248050-apjwnwky	22	10	in	in	ADP
cord-248050-apjwnwky	22	11	crowded	crowded	ADJ
cord-248050-apjwnwky	22	12	environments	environment	NOUN
cord-248050-apjwnwky	22	13	such	such	ADJ
cord-248050-apjwnwky	22	14	as	as	ADP
cord-248050-apjwnwky	22	15	inside	inside	ADP
cord-248050-apjwnwky	22	16	a	a	DET
cord-248050-apjwnwky	22	17	cell	cell	NOUN
cord-248050-apjwnwky	22	18	.	.	PUNCT
cord-248050-apjwnwky	23	1	in	in	ADP
cord-248050-apjwnwky	23	2	this	this	DET
cord-248050-apjwnwky	23	3	case	case	NOUN
cord-248050-apjwnwky	23	4	,	,	PUNCT
cord-248050-apjwnwky	23	5	the	the	DET
cord-248050-apjwnwky	23	6	reactands	reactand	NOUN
cord-248050-apjwnwky	23	7	,	,	PUNCT
cord-248050-apjwnwky	23	8	which	which	PRON
cord-248050-apjwnwky	23	9	are	be	AUX
cord-248050-apjwnwky	23	10	not	not	PART
cord-248050-apjwnwky	23	11	pointlike	pointlike	ADJ
cord-248050-apjwnwky	23	12	,	,	PUNCT
cord-248050-apjwnwky	23	13	can	can	AUX
cord-248050-apjwnwky	23	14	not	not	PART
cord-248050-apjwnwky	23	15	move	move	VERB
cord-248050-apjwnwky	23	16	freely	freely	ADV
cord-248050-apjwnwky	23	17	,	,	PUNCT
cord-248050-apjwnwky	23	18	which	which	PRON
cord-248050-apjwnwky	23	19	prevents	prevent	VERB
cord-248050-apjwnwky	23	20	them	they	PRON
cord-248050-apjwnwky	23	21	from	from	ADP
cord-248050-apjwnwky	23	22	meeting	meeting	NOUN
cord-248050-apjwnwky	23	23	and	and	CCONJ
cord-248050-apjwnwky	23	24	thus	thus	ADV
cord-248050-apjwnwky	23	25	from	from	ADP
cord-248050-apjwnwky	23	26	reacting	react	VERB
cord-248050-apjwnwky	23	27	.	.	PUNCT
cord-248050-apjwnwky	24	1	to	to	PART
cord-248050-apjwnwky	24	2	get	get	VERB
cord-248050-apjwnwky	24	3	an	an	DET
cord-248050-apjwnwky	24	4	improved	improved	ADJ
cord-248050-apjwnwky	24	5	model	model	NOUN
cord-248050-apjwnwky	24	6	,	,	PUNCT
cord-248050-apjwnwky	24	7	one	one	PRON
cord-248050-apjwnwky	24	8	can	can	AUX
cord-248050-apjwnwky	24	9	make	make	VERB
cord-248050-apjwnwky	24	10	use	use	NOUN
cord-248050-apjwnwky	24	11	of	of	ADP
cord-248050-apjwnwky	24	12	the	the	DET
cord-248050-apjwnwky	24	13	fact	fact	NOUN
cord-248050-apjwnwky	24	14	that	that	SCONJ
cord-248050-apjwnwky	24	15	the	the	DET
cord-248050-apjwnwky	24	16	diffusion	diffusion	NOUN
cord-248050-apjwnwky	24	17	equation	equation	NOUN
cord-248050-apjwnwky	24	18	is	be	AUX
cord-248050-apjwnwky	24	19	a	a	DET
cord-248050-apjwnwky	24	20	special	special	ADJ
cord-248050-apjwnwky	24	21	case	case	NOUN
cord-248050-apjwnwky	24	22	of	of	ADP
cord-248050-apjwnwky	24	23	ddft	ddft	PROPN
cord-248050-apjwnwky	24	24	.	.	PUNCT
cord-248050-apjwnwky	25	1	in	in	ADP
cord-248050-apjwnwky	25	2	this	this	DET
cord-248050-apjwnwky	25	3	theory	theory	NOUN
cord-248050-apjwnwky	25	4	,	,	PUNCT
cord-248050-apjwnwky	25	5	the	the	DET
cord-248050-apjwnwky	25	6	time	time	NOUN
cord-248050-apjwnwky	25	7	evolution	evolution	NOUN
cord-248050-apjwnwky	25	8	of	of	ADP
cord-248050-apjwnwky	25	9	a	a	DET
cord-248050-apjwnwky	25	10	density	density	NOUN
cord-248050-apjwnwky	25	11	field	field	NOUN
cord-248050-apjwnwky	25	12	ρ	ρ	NOUN
cord-248050-apjwnwky	25	13	(	(	PUNCT
cord-248050-apjwnwky	25	14	r	r	NOUN
cord-248050-apjwnwky	25	15	,	,	PUNCT
cord-248050-apjwnwky	25	16	t	t	NOUN
cord-248050-apjwnwky	25	17	)	)	PUNCT
cord-248050-apjwnwky	25	18	with	with	ADP
cord-248050-apjwnwky	25	19	spatial	spatial	ADJ
cord-248050-apjwnwky	25	20	variable	variable	ADJ
cord-248050-apjwnwky	25	21	r	r	NOUN
cord-248050-apjwnwky	25	22	is	be	AUX
cord-248050-apjwnwky	25	23	given	give	VERB
cord-248050-apjwnwky	25	24	by	by	ADP
cord-248050-apjwnwky	25	25	with	with	ADP
cord-248050-apjwnwky	25	26	a	a	DET
cord-248050-apjwnwky	25	27	mobility	mobility	NOUN
cord-248050-apjwnwky	25	28	γ	γ	PROPN
cord-248050-apjwnwky	25	29	and	and	CCONJ
cord-248050-apjwnwky	25	30	a	a	DET
cord-248050-apjwnwky	25	31	free	free	ADJ
cord-248050-apjwnwky	25	32	energy	energy	NOUN
cord-248050-apjwnwky	25	33	f	f	X
cord-248050-apjwnwky	25	34	.	.	PUNCT
cord-248050-apjwnwky	26	1	note	note	VERB
cord-248050-apjwnwky	26	2	that	that	SCONJ
cord-248050-apjwnwky	26	3	we	we	PRON
cord-248050-apjwnwky	26	4	have	have	AUX
cord-248050-apjwnwky	26	5	written	write	VERB
cord-248050-apjwnwky	26	6	eq	eq	PROPN
cord-248050-apjwnwky	26	7	.	.	PUNCT
cord-248050-apjwnwky	27	1	(	(	PUNCT
cord-248050-apjwnwky	27	2	4	4	NUM
cord-248050-apjwnwky	27	3	)	)	PUNCT
cord-248050-apjwnwky	27	4	without	without	ADP
cord-248050-apjwnwky	27	5	noise	noise	NOUN
cord-248050-apjwnwky	27	6	terms	term	NOUN
cord-248050-apjwnwky	27	7	,	,	PUNCT
cord-248050-apjwnwky	27	8	which	which	PRON
cord-248050-apjwnwky	27	9	implies	imply	VERB
cord-248050-apjwnwky	27	10	that	that	SCONJ
cord-248050-apjwnwky	27	11	ρ	ρ	X
cord-248050-apjwnwky	27	12	(	(	PUNCT
cord-248050-apjwnwky	27	13	r	r	PROPN
cord-248050-apjwnwky	27	14	,	,	PUNCT
cord-248050-apjwnwky	27	15	t	t	PROPN
cord-248050-apjwnwky	27	16	)	)	PUNCT
cord-248050-apjwnwky	27	17	denotes	denote	VERB
cord-248050-apjwnwky	27	18	an	an	DET
cord-248050-apjwnwky	27	19	ensemble	ensemble	ADJ
cord-248050-apjwnwky	27	20	average	average	NOUN
cord-248050-apjwnwky	27	21	[	[	X
cord-248050-apjwnwky	27	22	45	45	NUM
cord-248050-apjwnwky	27	23	]	]	PUNCT
cord-248050-apjwnwky	27	24	.	.	PUNCT
cord-248050-apjwnwky	28	1	the	the	DET
cord-248050-apjwnwky	28	2	free	free	ADJ
cord-248050-apjwnwky	28	3	energy	energy	NOUN
cord-248050-apjwnwky	28	4	is	be	AUX
cord-248050-apjwnwky	28	5	given	give	VERB
cord-248050-apjwnwky	28	6	by	by	ADP
cord-248050-apjwnwky	28	7	f	f	PROPN
cord-248050-apjwnwky	28	8	=	=	SYM
cord-248050-apjwnwky	28	9	f	f	PROPN
cord-248050-apjwnwky	28	10	i	i	PROPN
cord-248050-apjwnwky	28	11	d	d	NOUN
cord-248050-apjwnwky	28	12	+	+	CCONJ
cord-248050-apjwnwky	28	13	f	f	PROPN
cord-248050-apjwnwky	29	1	exc	exc	NOUN
cord-248050-apjwnwky	30	1	+	+	CCONJ
cord-248050-apjwnwky	30	2	f	f	NOUN
cord-248050-apjwnwky	31	1	ext	ext	NOUN
cord-248050-apjwnwky	31	2	.its	.it	VERB
cord-248050-apjwnwky	32	1	first	first	ADJ
cord-248050-apjwnwky	32	2	contribution	contribution	NOUN
cord-248050-apjwnwky	32	3	is	be	AUX
cord-248050-apjwnwky	32	4	the	the	DET
cord-248050-apjwnwky	32	5	ideal	ideal	ADJ
cord-248050-apjwnwky	32	6	gas	gas	NOUN
cord-248050-apjwnwky	32	7	free	free	ADJ
cord-248050-apjwnwky	32	8	energy	energy	NOUN
cord-248050-apjwnwky	33	1	f	f	PROPN
cord-248050-apjwnwky	33	2	i	i	PROPN
cord-248050-apjwnwky	33	3	d	d	PROPN
cord-248050-apjwnwky	33	4	=	=	PROPN
cord-248050-apjwnwky	33	5	β	β	X
cord-248050-apjwnwky	33	6	−1	−1	PUNCT
cord-248050-apjwnwky	33	7	d	d	X
cord-248050-apjwnwky	33	8	d	d	X
cord-248050-apjwnwky	33	9	r	r	X
cord-248050-apjwnwky	33	10	ρ	ρ	X
cord-248050-apjwnwky	33	11	(	(	PUNCT
cord-248050-apjwnwky	33	12	r	r	NOUN
cord-248050-apjwnwky	33	13	,	,	PUNCT
cord-248050-apjwnwky	33	14	t)(ln(ρ	t)(ln(ρ	VERB
cord-248050-apjwnwky	33	15	(	(	PUNCT
cord-248050-apjwnwky	33	16	r	r	NOUN
cord-248050-apjwnwky	33	17	,	,	PUNCT
cord-248050-apjwnwky	33	18	t)λ	t)λ	X
cord-248050-apjwnwky	33	19	d	d	NOUN
cord-248050-apjwnwky	33	20	)	)	PUNCT
cord-248050-apjwnwky	33	21	−	−	PROPN
cord-248050-apjwnwky	33	22	1	1	NUM
cord-248050-apjwnwky	33	23	)	)	PUNCT
cord-248050-apjwnwky	33	24	corresponding	correspond	VERB
cord-248050-apjwnwky	33	25	to	to	ADP
cord-248050-apjwnwky	33	26	a	a	DET
cord-248050-apjwnwky	33	27	system	system	NOUN
cord-248050-apjwnwky	33	28	of	of	ADP
cord-248050-apjwnwky	33	29	noninteracting	noninteracting	NOUN
cord-248050-apjwnwky	33	30	particles	particle	NOUN
cord-248050-apjwnwky	33	31	with	with	ADP
cord-248050-apjwnwky	33	32	the	the	DET
cord-248050-apjwnwky	33	33	inverse	inverse	ADJ
cord-248050-apjwnwky	33	34	temperature	temperature	NOUN
cord-248050-apjwnwky	33	35	β	β	NOUN
cord-248050-apjwnwky	33	36	,	,	PUNCT
cord-248050-apjwnwky	33	37	number	number	NOUN
cord-248050-apjwnwky	33	38	of	of	ADP
cord-248050-apjwnwky	33	39	spatial	spatial	ADJ
cord-248050-apjwnwky	33	40	dimensions	dimension	NOUN
cord-248050-apjwnwky	33	41	d	d	PROPN
cord-248050-apjwnwky	33	42	,	,	PUNCT
cord-248050-apjwnwky	33	43	and	and	CCONJ
cord-248050-apjwnwky	33	44	thermal	thermal	ADJ
cord-248050-apjwnwky	33	45	de	de	X
cord-248050-apjwnwky	33	46	broglie	broglie	NOUN
cord-248050-apjwnwky	33	47	wavelength	wavelength	NOUN
cord-248050-apjwnwky	33	48	λ	λ	PROPN
cord-248050-apjwnwky	33	49	.	.	PUNCT
cord-248050-apjwnwky	34	1	if	if	SCONJ
cord-248050-apjwnwky	34	2	this	this	PRON
cord-248050-apjwnwky	34	3	is	be	AUX
cord-248050-apjwnwky	34	4	the	the	DET
cord-248050-apjwnwky	34	5	only	only	ADJ
cord-248050-apjwnwky	34	6	contribution	contribution	NOUN
cord-248050-apjwnwky	34	7	,	,	PUNCT
cord-248050-apjwnwky	34	8	eq	eq	PROPN
cord-248050-apjwnwky	34	9	.	.	PUNCT
cord-248050-apjwnwky	34	10	(	(	PUNCT
cord-248050-apjwnwky	34	11	4	4	X
cord-248050-apjwnwky	34	12	)	)	PUNCT
cord-248050-apjwnwky	34	13	reduces	reduce	VERB
cord-248050-apjwnwky	34	14	to	to	ADP
cord-248050-apjwnwky	34	15	the	the	DET
cord-248050-apjwnwky	34	16	standard	standard	ADJ
cord-248050-apjwnwky	34	17	diffusion	diffusion	NOUN
cord-248050-apjwnwky	34	18	equation	equation	NOUN
cord-248050-apjwnwky	34	19	with	with	ADP
cord-248050-apjwnwky	34	20	d	d	X
cord-248050-apjwnwky	34	21	=	=	X
cord-248050-apjwnwky	34	22	γβ	γβ	X
cord-248050-apjwnwky	34	23	−1	−1	NOUN
cord-248050-apjwnwky	34	24	.	.	PUNCT
cord-248050-apjwnwky	35	1	the	the	DET
cord-248050-apjwnwky	35	2	second	second	ADJ
cord-248050-apjwnwky	35	3	contribution	contribution	NOUN
cord-248050-apjwnwky	35	4	is	be	AUX
cord-248050-apjwnwky	35	5	the	the	DET
cord-248050-apjwnwky	35	6	excess	excess	ADJ
cord-248050-apjwnwky	35	7	free	free	ADJ
cord-248050-apjwnwky	35	8	energy	energy	NOUN
cord-248050-apjwnwky	35	9	f	f	X
cord-248050-apjwnwky	35	10	exc	exc	PROPN
cord-248050-apjwnwky	35	11	,	,	PUNCT
cord-248050-apjwnwky	35	12	which	which	PRON
cord-248050-apjwnwky	35	13	takes	take	VERB
cord-248050-apjwnwky	35	14	the	the	DET
cord-248050-apjwnwky	35	15	effect	effect	NOUN
cord-248050-apjwnwky	35	16	of	of	ADP
cord-248050-apjwnwky	35	17	particle	particle	NOUN
cord-248050-apjwnwky	35	18	interactions	interaction	NOUN
cord-248050-apjwnwky	35	19	into	into	ADP
cord-248050-apjwnwky	35	20	account	account	NOUN
cord-248050-apjwnwky	35	21	.	.	PUNCT
cord-248050-apjwnwky	36	1	it	it	PRON
cord-248050-apjwnwky	36	2	is	be	AUX
cord-248050-apjwnwky	36	3	typically	typically	ADV
cord-248050-apjwnwky	36	4	not	not	PART
cord-248050-apjwnwky	36	5	known	know	VERB
cord-248050-apjwnwky	36	6	exactly	exactly	ADV
cord-248050-apjwnwky	36	7	and	and	CCONJ
cord-248050-apjwnwky	36	8	has	have	VERB
cord-248050-apjwnwky	36	9	to	to	PART
cord-248050-apjwnwky	36	10	be	be	AUX
cord-248050-apjwnwky	36	11	approximated	approximate	VERB
cord-248050-apjwnwky	36	12	.	.	PUNCT
cord-248050-apjwnwky	37	1	the	the	DET
cord-248050-apjwnwky	37	2	third	third	ADJ
cord-248050-apjwnwky	37	3	contribution	contribution	NOUN
cord-248050-apjwnwky	37	4	f	f	PROPN
cord-248050-apjwnwky	37	5	ext	ext	PROPN
cord-248050-apjwnwky	37	6	incorporates	incorporate	VERB
cord-248050-apjwnwky	37	7	the	the	DET
cord-248050-apjwnwky	37	8	effect	effect	NOUN
cord-248050-apjwnwky	37	9	of	of	ADP
cord-248050-apjwnwky	37	10	an	an	DET
cord-248050-apjwnwky	37	11	external	external	ADJ
cord-248050-apjwnwky	37	12	potential	potential	NOUN
cord-248050-apjwnwky	37	13	u	u	NOUN
cord-248050-apjwnwky	37	14	ext	ext	NOUN
cord-248050-apjwnwky	37	15	(	(	PUNCT
cord-248050-apjwnwky	37	16	r	r	NOUN
cord-248050-apjwnwky	37	17	,	,	PUNCT
cord-248050-apjwnwky	37	18	t	t	NOUN
cord-248050-apjwnwky	37	19	)	)	PUNCT
cord-248050-apjwnwky	37	20	.	.	PUNCT
cord-248050-apjwnwky	38	1	ddft	ddft	PROPN
cord-248050-apjwnwky	38	2	can	can	AUX
cord-248050-apjwnwky	38	3	be	be	AUX
cord-248050-apjwnwky	38	4	extended	extend	VERB
cord-248050-apjwnwky	38	5	to	to	ADP
cord-248050-apjwnwky	38	6	mixtures	mixture	NOUN
cord-248050-apjwnwky	38	7	[	[	PUNCT
cord-248050-apjwnwky	38	8	46	46	NUM
cord-248050-apjwnwky	38	9	]	]	PUNCT
cord-248050-apjwnwky	39	1	[	[	X
cord-248050-apjwnwky	39	2	47	47	NUM
cord-248050-apjwnwky	39	3	]	]	PUNCT
cord-248050-apjwnwky	39	4	[	[	X
cord-248050-apjwnwky	39	5	48	48	NUM
cord-248050-apjwnwky	39	6	]	]	PUNCT
cord-248050-apjwnwky	39	7	[	[	X
cord-248050-apjwnwky	39	8	49	49	NUM
cord-248050-apjwnwky	39	9	]	]	PUNCT
cord-248050-apjwnwky	39	10	,	,	PUNCT
cord-248050-apjwnwky	39	11	which	which	PRON
cord-248050-apjwnwky	39	12	makes	make	VERB
cord-248050-apjwnwky	39	13	it	it	PRON
cord-248050-apjwnwky	39	14	applicable	applicable	ADJ
cord-248050-apjwnwky	39	15	to	to	ADP
cord-248050-apjwnwky	39	16	chemical	chemical	ADJ
cord-248050-apjwnwky	39	17	reactions	reaction	NOUN
cord-248050-apjwnwky	39	18	.	.	PUNCT
cord-248050-apjwnwky	40	1	while	while	SCONJ
cord-248050-apjwnwky	40	2	ddft	ddft	PROPN
cord-248050-apjwnwky	40	3	is	be	AUX
cord-248050-apjwnwky	40	4	not	not	PART
cord-248050-apjwnwky	40	5	an	an	DET
cord-248050-apjwnwky	40	6	exact	exact	ADJ
cord-248050-apjwnwky	40	7	theory	theory	NOUN
cord-248050-apjwnwky	40	8	(	(	PUNCT
cord-248050-apjwnwky	40	9	it	it	PRON
cord-248050-apjwnwky	40	10	is	be	AUX
cord-248050-apjwnwky	40	11	based	base	VERB
cord-248050-apjwnwky	40	12	on	on	ADP
cord-248050-apjwnwky	40	13	the	the	DET
cord-248050-apjwnwky	40	14	assumption	assumption	NOUN
cord-248050-apjwnwky	40	15	that	that	SCONJ
cord-248050-apjwnwky	40	16	the	the	DET
cord-248050-apjwnwky	40	17	density	density	NOUN
cord-248050-apjwnwky	40	18	is	be	AUX
cord-248050-apjwnwky	40	19	the	the	DET
cord-248050-apjwnwky	40	20	only	only	ADJ
cord-248050-apjwnwky	40	21	slow	slow	ADJ
cord-248050-apjwnwky	40	22	variable	variable	NOUN
cord-248050-apjwnwky	40	23	in	in	ADP
cord-248050-apjwnwky	40	24	the	the	DET
cord-248050-apjwnwky	40	25	system	system	NOUN
cord-248050-apjwnwky	40	26	[	[	PUNCT
cord-248050-apjwnwky	40	27	50	50	NUM
cord-248050-apjwnwky	40	28	,	,	PUNCT
cord-248050-apjwnwky	40	29	51	51	NUM
cord-248050-apjwnwky	40	30	]	]	PUNCT
cord-248050-apjwnwky	40	31	)	)	PUNCT
cord-248050-apjwnwky	40	32	,	,	PUNCT
cord-248050-apjwnwky	40	33	it	it	PRON
cord-248050-apjwnwky	40	34	is	be	AUX
cord-248050-apjwnwky	40	35	nevertheless	nevertheless	ADV
cord-248050-apjwnwky	40	36	a	a	DET
cord-248050-apjwnwky	40	37	significant	significant	ADJ
cord-248050-apjwnwky	40	38	improvement	improvement	NOUN
cord-248050-apjwnwky	40	39	compared	compare	VERB
cord-248050-apjwnwky	40	40	to	to	ADP
cord-248050-apjwnwky	40	41	the	the	DET
cord-248050-apjwnwky	40	42	standard	standard	ADJ
cord-248050-apjwnwky	40	43	diffusion	diffusion	NOUN
cord-248050-apjwnwky	40	44	equation	equation	NOUN
cord-248050-apjwnwky	40	45	as	as	SCONJ
cord-248050-apjwnwky	40	46	it	it	PRON
cord-248050-apjwnwky	40	47	allows	allow	VERB
cord-248050-apjwnwky	40	48	to	to	PART
cord-248050-apjwnwky	40	49	incor	incor	VERB
cord-248050-apjwnwky	40	50	-	-	PUNCT
cord-248050-apjwnwky	40	51	porate	porate	VERB
cord-248050-apjwnwky	40	52	the	the	DET
cord-248050-apjwnwky	40	53	effects	effect	NOUN
cord-248050-apjwnwky	40	54	of	of	ADP
cord-248050-apjwnwky	40	55	particle	particle	NOUN
cord-248050-apjwnwky	40	56	interactions	interaction	NOUN
cord-248050-apjwnwky	40	57	and	and	CCONJ
cord-248050-apjwnwky	40	58	generally	generally	ADV
cord-248050-apjwnwky	40	59	shows	show	VERB
cord-248050-apjwnwky	40	60	excellent	excellent	ADJ
cord-248050-apjwnwky	40	61	agreement	agreement	NOUN
cord-248050-apjwnwky	40	62	with	with	ADP
cord-248050-apjwnwky	40	63	microscopic	microscopic	ADJ
cord-248050-apjwnwky	40	64	simulations	simulation	NOUN
cord-248050-apjwnwky	40	65	.	.	PUNCT
cord-248050-apjwnwky	41	1	in	in	ADP
cord-248050-apjwnwky	41	2	particular	particular	ADJ
cord-248050-apjwnwky	41	3	,	,	PUNCT
cord-248050-apjwnwky	41	4	it	it	PRON
cord-248050-apjwnwky	41	5	allows	allow	VERB
cord-248050-apjwnwky	41	6	to	to	PART
cord-248050-apjwnwky	41	7	incorporate	incorporate	VERB
cord-248050-apjwnwky	41	8	the	the	DET
cord-248050-apjwnwky	41	9	effects	effect	NOUN
cord-248050-apjwnwky	41	10	of	of	ADP
cord-248050-apjwnwky	41	11	particle	particle	NOUN
cord-248050-apjwnwky	41	12	interactions	interaction	NOUN
cord-248050-apjwnwky	41	13	such	such	ADJ
cord-248050-apjwnwky	41	14	as	as	ADP
cord-248050-apjwnwky	41	15	crowding	crowding	NOUN
cord-248050-apjwnwky	41	16	in	in	ADP
cord-248050-apjwnwky	41	17	reaction	reaction	NOUN
cord-248050-apjwnwky	41	18	-	-	PUNCT
cord-248050-apjwnwky	41	19	diffusion	diffusion	NOUN
cord-248050-apjwnwky	41	20	equations	equation	NOUN
cord-248050-apjwnwky	41	21	.	.	PUNCT
cord-248050-apjwnwky	42	1	this	this	PRON
cord-248050-apjwnwky	42	2	is	be	AUX
cord-248050-apjwnwky	42	3	done	do	VERB
cord-248050-apjwnwky	42	4	by	by	ADP
cord-248050-apjwnwky	42	5	replacing	replace	VERB
cord-248050-apjwnwky	42	6	the	the	DET
cord-248050-apjwnwky	42	7	diffusion	diffusion	NOUN
cord-248050-apjwnwky	42	8	term	term	NOUN
cord-248050-apjwnwky	42	9	d	d	NOUN
cord-248050-apjwnwky	42	10	∇	∇	PROPN
cord-248050-apjwnwky	42	11	2	2	NUM
cord-248050-apjwnwky	42	12	φ	φ	X
cord-248050-apjwnwky	42	13	(	(	PUNCT
cord-248050-apjwnwky	42	14	r	r	NOUN
cord-248050-apjwnwky	42	15	,	,	PUNCT
cord-248050-apjwnwky	42	16	t	t	NOUN
cord-248050-apjwnwky	42	17	)	)	PUNCT
cord-248050-apjwnwky	42	18	in	in	ADP
cord-248050-apjwnwky	42	19	the	the	DET
cord-248050-apjwnwky	42	20	standard	standard	ADJ
cord-248050-apjwnwky	42	21	reaction	reaction	NOUN
cord-248050-apjwnwky	42	22	-	-	PUNCT
cord-248050-apjwnwky	42	23	diffusion	diffusion	NOUN
cord-248050-apjwnwky	42	24	model	model	NOUN
cord-248050-apjwnwky	42	25	with	with	ADP
cord-248050-apjwnwky	42	26	the	the	DET
cord-248050-apjwnwky	42	27	right	right	ADJ
cord-248050-apjwnwky	42	28	-	-	PUNCT
cord-248050-apjwnwky	42	29	hand	hand	NOUN
cord-248050-apjwnwky	42	30	side	side	NOUN
cord-248050-apjwnwky	42	31	of	of	ADP
cord-248050-apjwnwky	42	32	the	the	DET
cord-248050-apjwnwky	42	33	ddft	ddft	PROPN
cord-248050-apjwnwky	42	34	equation	equation	PROPN
cord-248050-apjwnwky	42	35	(	(	PUNCT
cord-248050-apjwnwky	42	36	4	4	NUM
cord-248050-apjwnwky	42	37	)	)	PUNCT
cord-248050-apjwnwky	42	38	[	[	X
cord-248050-apjwnwky	42	39	52	52	NUM
cord-248050-apjwnwky	42	40	]	]	PUNCT
cord-248050-apjwnwky	42	41	[	[	X
cord-248050-apjwnwky	42	42	53	53	NUM
cord-248050-apjwnwky	42	43	]	]	PUNCT
cord-248050-apjwnwky	42	44	[	[	X
cord-248050-apjwnwky	42	45	54	54	NUM
cord-248050-apjwnwky	42	46	]	]	PUNCT
cord-248050-apjwnwky	42	47	.	.	PUNCT
cord-248050-apjwnwky	43	1	thus	thus	ADV
cord-248050-apjwnwky	43	2	,	,	PUNCT
cord-248050-apjwnwky	43	3	given	give	VERB
cord-248050-apjwnwky	43	4	that	that	SCONJ
cord-248050-apjwnwky	43	5	its	its	PRON
cord-248050-apjwnwky	43	6	equilibrium	equilibrium	NOUN
cord-248050-apjwnwky	43	7	counterpart	counterpart	NOUN
cord-248050-apjwnwky	43	8	,	,	PUNCT
cord-248050-apjwnwky	43	9	static	static	ADJ
cord-248050-apjwnwky	43	10	density	density	NOUN
cord-248050-apjwnwky	43	11	functional	functional	ADJ
cord-248050-apjwnwky	43	12	theory	theory	NOUN
cord-248050-apjwnwky	43	13	,	,	PUNCT
cord-248050-apjwnwky	43	14	has	have	AUX
cord-248050-apjwnwky	43	15	already	already	ADV
cord-248050-apjwnwky	43	16	been	be	AUX
cord-248050-apjwnwky	43	17	used	use	VERB
cord-248050-apjwnwky	43	18	to	to	PART
cord-248050-apjwnwky	43	19	model	model	VERB
cord-248050-apjwnwky	43	20	crowds	crowd	NOUN
cord-248050-apjwnwky	43	21	[	[	X
cord-248050-apjwnwky	43	22	55	55	NUM
cord-248050-apjwnwky	43	23	]	]	PUNCT
cord-248050-apjwnwky	43	24	,	,	PUNCT
cord-248050-apjwnwky	43	25	ddft	ddft	PROPN
cord-248050-apjwnwky	43	26	is	be	AUX
cord-248050-apjwnwky	43	27	a	a	DET
cord-248050-apjwnwky	43	28	very	very	ADV
cord-248050-apjwnwky	43	29	promising	promising	ADJ
cord-248050-apjwnwky	43	30	approach	approach	NOUN
cord-248050-apjwnwky	43	31	for	for	ADP
cord-248050-apjwnwky	43	32	the	the	DET
cord-248050-apjwnwky	43	33	development	development	NOUN
cord-248050-apjwnwky	43	34	of	of	ADP
cord-248050-apjwnwky	43	35	extended	extended	ADJ
cord-248050-apjwnwky	43	36	models	model	NOUN
cord-248050-apjwnwky	43	37	for	for	ADP
cord-248050-apjwnwky	43	38	epidemic	epidemic	NOUN
cord-248050-apjwnwky	43	39	spreading	spread	VERB
cord-248050-apjwnwky	43	40	.	.	PUNCT
cord-248050-apjwnwky	44	1	however	however	ADV
cord-248050-apjwnwky	44	2	,	,	PUNCT
cord-248050-apjwnwky	44	3	despite	despite	SCONJ
cord-248050-apjwnwky	44	4	the	the	DET
cord-248050-apjwnwky	44	5	successes	success	NOUN
cord-248050-apjwnwky	44	6	of	of	ADP
cord-248050-apjwnwky	44	7	ddft	ddft	PROPN
cord-248050-apjwnwky	44	8	in	in	ADP
cord-248050-apjwnwky	44	9	other	other	ADJ
cord-248050-apjwnwky	44	10	biological	biological	ADJ
cord-248050-apjwnwky	44	11	contexts	context	NOUN
cord-248050-apjwnwky	44	12	such	such	ADJ
cord-248050-apjwnwky	44	13	as	as	ADP
cord-248050-apjwnwky	44	14	cancer	cancer	NOUN
cord-248050-apjwnwky	44	15	growth	growth	NOUN
cord-248050-apjwnwky	44	16	[	[	X
cord-248050-apjwnwky	44	17	56	56	NUM
cord-248050-apjwnwky	44	18	,	,	PUNCT
cord-248050-apjwnwky	44	19	57	57	NUM
cord-248050-apjwnwky	44	20	]	]	PUNCT
cord-248050-apjwnwky	44	21	,	,	PUNCT
cord-248050-apjwnwky	44	22	protein	protein	NOUN
cord-248050-apjwnwky	44	23	adsorption	adsorption	NOUN
cord-248050-apjwnwky	44	24	[	[	X
cord-248050-apjwnwky	44	25	58	58	NUM
cord-248050-apjwnwky	44	26	]	]	PUNCT
cord-248050-apjwnwky	44	27	[	[	X
cord-248050-apjwnwky	44	28	59	59	NUM
cord-248050-apjwnwky	44	29	]	]	PUNCT
cord-248050-apjwnwky	44	30	[	[	X
cord-248050-apjwnwky	44	31	60	60	NUM
cord-248050-apjwnwky	44	32	]	]	PUNCT
cord-248050-apjwnwky	44	33	[	[	X
cord-248050-apjwnwky	44	34	61	61	NUM
cord-248050-apjwnwky	44	35	]	]	PUNCT
cord-248050-apjwnwky	44	36	,	,	PUNCT
cord-248050-apjwnwky	44	37	ecology	ecology	NOUN
cord-248050-apjwnwky	44	38	[	[	X
cord-248050-apjwnwky	44	39	62	62	NUM
cord-248050-apjwnwky	44	40	]	]	PUNCT
cord-248050-apjwnwky	44	41	,	,	PUNCT
cord-248050-apjwnwky	44	42	or	or	CCONJ
cord-248050-apjwnwky	44	43	active	active	ADJ
cord-248050-apjwnwky	44	44	matter	matter	NOUN
cord-248050-apjwnwky	44	45	[	[	X
cord-248050-apjwnwky	44	46	63	63	NUM
cord-248050-apjwnwky	44	47	]	]	PUNCT
cord-248050-apjwnwky	44	48	[	[	X
cord-248050-apjwnwky	44	49	64	64	NUM
cord-248050-apjwnwky	44	50	]	]	PUNCT
cord-248050-apjwnwky	44	51	[	[	PUNCT
cord-248050-apjwnwky	44	52	65	65	NUM
cord-248050-apjwnwky	44	53	]	]	PUNCT
cord-248050-apjwnwky	44	54	[	[	X
cord-248050-apjwnwky	44	55	66	66	NUM
cord-248050-apjwnwky	44	56	]	]	PUNCT
cord-248050-apjwnwky	44	57	[	[	X
cord-248050-apjwnwky	44	58	67	67	NUM
cord-248050-apjwnwky	44	59	]	]	PUNCT
cord-248050-apjwnwky	44	60	[	[	X
cord-248050-apjwnwky	44	61	68	68	NUM
cord-248050-apjwnwky	44	62	]	]	PUNCT
cord-248050-apjwnwky	44	63	[	[	X
cord-248050-apjwnwky	44	64	69	69	NUM
cord-248050-apjwnwky	44	65	]	]	PUNCT
cord-248050-apjwnwky	44	66	[	[	X
cord-248050-apjwnwky	44	67	70	70	NUM
cord-248050-apjwnwky	44	68	]	]	PUNCT
cord-248050-apjwnwky	44	69	[	[	X
cord-248050-apjwnwky	44	70	71	71	NUM
cord-248050-apjwnwky	44	71	]	]	PUNCT
cord-248050-apjwnwky	44	72	[	[	X
cord-248050-apjwnwky	44	73	72	72	NUM
cord-248050-apjwnwky	44	74	]	]	PUNCT
cord-248050-apjwnwky	44	75	[	[	X
cord-248050-apjwnwky	44	76	73	73	NUM
cord-248050-apjwnwky	44	77	]	]	PUNCT
cord-248050-apjwnwky	44	78	[	[	X
cord-248050-apjwnwky	44	79	74	74	NUM
cord-248050-apjwnwky	44	80	]	]	PUNCT
cord-248050-apjwnwky	44	81	[	[	X
cord-248050-apjwnwky	44	82	75	75	NUM
cord-248050-apjwnwky	44	83	]	]	PUNCT
cord-248050-apjwnwky	44	84	,	,	PUNCT
cord-248050-apjwnwky	44	85	no	no	DET
cord-248050-apjwnwky	44	86	attempts	attempt	NOUN
cord-248050-apjwnwky	44	87	have	have	AUX
cord-248050-apjwnwky	44	88	been	be	AUX
cord-248050-apjwnwky	44	89	made	make	VERB
cord-248050-apjwnwky	44	90	to	to	PART
cord-248050-apjwnwky	44	91	apply	apply	VERB
cord-248050-apjwnwky	44	92	ddft	ddft	PROPN
cord-248050-apjwnwky	44	93	to	to	ADP
cord-248050-apjwnwky	44	94	epidemic	epidemic	NOUN
cord-248050-apjwnwky	44	95	spreading	spread	VERB
cord-248050-apjwnwky	44	96	(	(	PUNCT
cord-248050-apjwnwky	44	97	or	or	CCONJ
cord-248050-apjwnwky	44	98	other	other	ADJ
cord-248050-apjwnwky	44	99	types	type	NOUN
cord-248050-apjwnwky	44	100	of	of	ADP
cord-248050-apjwnwky	44	101	socio	socio	ADJ
cord-248050-apjwnwky	44	102	-	-	ADJ
cord-248050-apjwnwky	44	103	economic	economic	ADJ
cord-248050-apjwnwky	44	104	dynamics	dynamic	NOUN
cord-248050-apjwnwky	44	105	)	)	PUNCT
cord-248050-apjwnwky	44	106	.	.	PUNCT
cord-248050-apjwnwky	45	1	in	in	ADP
cord-248050-apjwnwky	45	2	this	this	DET
cord-248050-apjwnwky	45	3	work	work	NOUN
cord-248050-apjwnwky	45	4	,	,	PUNCT
cord-248050-apjwnwky	45	5	we	we	PRON
cord-248050-apjwnwky	45	6	use	use	VERB
cord-248050-apjwnwky	45	7	the	the	DET
cord-248050-apjwnwky	45	8	idea	idea	NOUN
cord-248050-apjwnwky	45	9	of	of	ADP
cord-248050-apjwnwky	45	10	a	a	DET
cord-248050-apjwnwky	45	11	reaction	reaction	NOUN
cord-248050-apjwnwky	45	12	-	-	PUNCT
cord-248050-apjwnwky	45	13	diffusion	diffusion	NOUN
cord-248050-apjwnwky	45	14	ddft	ddft	PROPN
cord-248050-apjwnwky	45	15	to	to	PART
cord-248050-apjwnwky	45	16	extend	extend	VERB
cord-248050-apjwnwky	45	17	the	the	DET
cord-248050-apjwnwky	45	18	sir	sir	PROPN
cord-248050-apjwnwky	45	19	model	model	NOUN
cord-248050-apjwnwky	45	20	given	give	VERB
cord-248050-apjwnwky	45	21	by	by	ADP
cord-248050-apjwnwky	45	22	eqs	eqs	PROPN
cord-248050-apjwnwky	45	23	.	.	PUNCT
cord-248050-apjwnwky	46	1	(	(	PUNCT
cord-248050-apjwnwky	46	2	1)-(3	1)-(3	NUM
cord-248050-apjwnwky	46	3	)	)	PUNCT
cord-248050-apjwnwky	46	4	to	to	ADP
cord-248050-apjwnwky	46	5	a	a	DET
cord-248050-apjwnwky	46	6	(	(	PUNCT
cord-248050-apjwnwky	46	7	probably	probably	ADV
cord-248050-apjwnwky	46	8	spatially	spatially	ADV
cord-248050-apjwnwky	46	9	inhomogeneous	inhomogeneous	ADJ
cord-248050-apjwnwky	46	10	)	)	PUNCT
cord-248050-apjwnwky	46	11	system	system	NOUN
cord-248050-apjwnwky	46	12	of	of	ADP
cord-248050-apjwnwky	46	13	interacting	interact	VERB
cord-248050-apjwnwky	46	14	persons	person	NOUN
cord-248050-apjwnwky	46	15	,	,	PUNCT
cord-248050-apjwnwky	46	16	which	which	PRON
cord-248050-apjwnwky	46	17	compared	compare	VERB
cord-248050-apjwnwky	46	18	to	to	ADP
cord-248050-apjwnwky	46	19	existing	exist	VERB
cord-248050-apjwnwky	46	20	methods	method	NOUN
cord-248050-apjwnwky	46	21	allows	allow	VERB
cord-248050-apjwnwky	46	22	the	the	DET
cord-248050-apjwnwky	46	23	incorporation	incorporation	NOUN
cord-248050-apjwnwky	46	24	of	of	ADP
cord-248050-apjwnwky	46	25	social	social	ADJ
cord-248050-apjwnwky	46	26	interactions	interaction	NOUN
cord-248050-apjwnwky	46	27	and	and	CCONJ
cord-248050-apjwnwky	46	28	social	social	ADJ
cord-248050-apjwnwky	46	29	distancing	distancing	NOUN
cord-248050-apjwnwky	46	30	.	.	PUNCT
cord-248050-apjwnwky	47	1	ddft	ddft	PROPN
cord-248050-apjwnwky	47	2	describes	describe	VERB
cord-248050-apjwnwky	47	3	the	the	DET
cord-248050-apjwnwky	47	4	diffusive	diffusive	ADJ
cord-248050-apjwnwky	47	5	relaxation	relaxation	NOUN
cord-248050-apjwnwky	47	6	of	of	ADP
cord-248050-apjwnwky	47	7	an	an	DET
cord-248050-apjwnwky	47	8	interacting	interact	VERB
cord-248050-apjwnwky	47	9	system	system	NOUN
cord-248050-apjwnwky	47	10	and	and	CCONJ
cord-248050-apjwnwky	47	11	is	be	AUX
cord-248050-apjwnwky	47	12	thus	thus	ADV
cord-248050-apjwnwky	47	13	appropriate	appropriate	ADJ
cord-248050-apjwnwky	47	14	if	if	SCONJ
cord-248050-apjwnwky	47	15	we	we	PRON
cord-248050-apjwnwky	47	16	make	make	VERB
cord-248050-apjwnwky	47	17	the	the	DET
cord-248050-apjwnwky	47	18	plausible	plausible	ADJ
cord-248050-apjwnwky	47	19	approximation	approximation	NOUN
cord-248050-apjwnwky	47	20	that	that	SCONJ
cord-248050-apjwnwky	47	21	the	the	DET
cord-248050-apjwnwky	47	22	underlying	underlie	VERB
cord-248050-apjwnwky	47	23	diffusion	diffusion	NOUN
cord-248050-apjwnwky	47	24	behavior	behavior	NOUN
cord-248050-apjwnwky	47	25	of	of	ADP
cord-248050-apjwnwky	47	26	persons	person	NOUN
cord-248050-apjwnwky	47	27	is	be	AUX
cord-248050-apjwnwky	47	28	markovian	markovian	ADJ
cord-248050-apjwnwky	48	1	[	[	X
cord-248050-apjwnwky	48	2	76	76	NUM
cord-248050-apjwnwky	48	3	]	]	PUNCT
cord-248050-apjwnwky	48	4	and	and	CCONJ
cord-248050-apjwnwky	48	5	ergodic	ergodic	ADJ
cord-248050-apjwnwky	48	6	[	[	X
cord-248050-apjwnwky	48	7	77	77	NUM
cord-248050-apjwnwky	48	8	]	]	PUNCT
cord-248050-apjwnwky	49	1	.	.	PUNCT
cord-248050-apjwnwky	50	1	using	use	VERB
cord-248050-apjwnwky	50	2	the	the	DET
cord-248050-apjwnwky	50	3	mori	mori	NOUN
cord-248050-apjwnwky	50	4	-	-	PUNCT
cord-248050-apjwnwky	50	5	zwanzig	zwanzig	NOUN
cord-248050-apjwnwky	50	6	formalism	formalism	NOUN
cord-248050-apjwnwky	50	7	[	[	PUNCT
cord-248050-apjwnwky	50	8	78	78	NUM
cord-248050-apjwnwky	50	9	]	]	PUNCT
cord-248050-apjwnwky	50	10	[	[	X
cord-248050-apjwnwky	50	11	79	79	NUM
cord-248050-apjwnwky	50	12	]	]	PUNCT
cord-248050-apjwnwky	50	13	[	[	X
cord-248050-apjwnwky	50	14	80	80	NUM
cord-248050-apjwnwky	50	15	]	]	PUNCT
cord-248050-apjwnwky	50	16	[	[	X
cord-248050-apjwnwky	50	17	81	81	NUM
cord-248050-apjwnwky	50	18	]	]	PUNCT
cord-248050-apjwnwky	50	19	[	[	X
cord-248050-apjwnwky	50	20	82	82	NUM
cord-248050-apjwnwky	50	21	]	]	PUNCT
cord-248050-apjwnwky	50	22	,	,	PUNCT
cord-248050-apjwnwky	50	23	one	one	PRON
cord-248050-apjwnwky	50	24	can	can	AUX
cord-248050-apjwnwky	50	25	connect	connect	VERB
cord-248050-apjwnwky	50	26	the	the	DET
cord-248050-apjwnwky	50	27	ddft	ddft	PROPN
cord-248050-apjwnwky	50	28	model	model	PROPN
cord-248050-apjwnwky	50	29	and	and	CCONJ
cord-248050-apjwnwky	50	30	its	its	PRON
cord-248050-apjwnwky	50	31	coefficients	coefficient	NOUN
cord-248050-apjwnwky	50	32	to	to	ADP
cord-248050-apjwnwky	50	33	the	the	DET
cord-248050-apjwnwky	50	34	dynamics	dynamic	NOUN
cord-248050-apjwnwky	50	35	of	of	ADP
cord-248050-apjwnwky	50	36	the	the	DET
cord-248050-apjwnwky	50	37	individual	individual	ADJ
cord-248050-apjwnwky	50	38	persons	person	NOUN
cord-248050-apjwnwky	51	1	[	[	PUNCT
cord-248050-apjwnwky	51	2	50	50	NUM
cord-248050-apjwnwky	51	3	,	,	PUNCT
cord-248050-apjwnwky	51	4	51	51	NUM
cord-248050-apjwnwky	51	5	,	,	PUNCT
cord-248050-apjwnwky	51	6	83	83	NUM
cord-248050-apjwnwky	51	7	]	]	PUNCT
cord-248050-apjwnwky	51	8	.	.	PUNCT
cord-248050-apjwnwky	52	1	the	the	DET
cord-248050-apjwnwky	52	2	extended	extended	ADJ
cord-248050-apjwnwky	52	3	model	model	NOUN
cord-248050-apjwnwky	52	4	reads	read	VERB
cord-248050-apjwnwky	52	5	note	note	VERB
cord-248050-apjwnwky	52	6	that	that	SCONJ
cord-248050-apjwnwky	52	7	we	we	PRON
cord-248050-apjwnwky	52	8	use	use	VERB
cord-248050-apjwnwky	52	9	different	different	ADJ
cord-248050-apjwnwky	52	10	mobilities	mobility	NOUN
cord-248050-apjwnwky	52	11	γ	γ	PROPN
cord-248050-apjwnwky	52	12	s	s	PROPN
cord-248050-apjwnwky	52	13	,	,	PUNCT
cord-248050-apjwnwky	52	14	γ	γ	NOUN
cord-248050-apjwnwky	52	15	i	i	NOUN
cord-248050-apjwnwky	52	16	,	,	PUNCT
cord-248050-apjwnwky	52	17	and	and	CCONJ
cord-248050-apjwnwky	52	18	γ	γ	NOUN
cord-248050-apjwnwky	52	19	r	r	NOUN
cord-248050-apjwnwky	52	20	for	for	ADP
cord-248050-apjwnwky	52	21	the	the	DET
cord-248050-apjwnwky	52	22	different	different	ADJ
cord-248050-apjwnwky	52	23	fields	field	NOUN
cord-248050-apjwnwky	52	24	s	s	PROPN
cord-248050-apjwnwky	52	25	,	,	PUNCT
cord-248050-apjwnwky	52	26	i	i	PROPN
cord-248050-apjwnwky	52	27	,	,	PUNCT
cord-248050-apjwnwky	52	28	and	and	CCONJ
cord-248050-apjwnwky	52	29	r	r	X
cord-248050-apjwnwky	52	30	,	,	PUNCT
cord-248050-apjwnwky	52	31	which	which	PRON
cord-248050-apjwnwky	52	32	allows	allow	VERB
cord-248050-apjwnwky	52	33	to	to	PART
cord-248050-apjwnwky	52	34	model	model	VERB
cord-248050-apjwnwky	52	35	the	the	DET
cord-248050-apjwnwky	52	36	fact	fact	NOUN
cord-248050-apjwnwky	52	37	that	that	SCONJ
cord-248050-apjwnwky	52	38	infected	infected	ADJ
cord-248050-apjwnwky	52	39	persons	person	NOUN
cord-248050-apjwnwky	52	40	,	,	PUNCT
cord-248050-apjwnwky	52	41	who	who	PRON
cord-248050-apjwnwky	52	42	might	might	AUX
cord-248050-apjwnwky	52	43	be	be	AUX
cord-248050-apjwnwky	52	44	in	in	ADP
cord-248050-apjwnwky	52	45	quarantine	quarantine	NOUN
cord-248050-apjwnwky	52	46	,	,	PUNCT
cord-248050-apjwnwky	52	47	move	move	VERB
cord-248050-apjwnwky	52	48	less	less	ADV
cord-248050-apjwnwky	52	49	than	than	ADP
cord-248050-apjwnwky	52	50	healthy	healthy	ADJ
cord-248050-apjwnwky	52	51	persons	person	NOUN
cord-248050-apjwnwky	52	52	.	.	PUNCT
cord-248050-apjwnwky	53	1	for	for	ADP
cord-248050-apjwnwky	53	2	generality	generality	NOUN
cord-248050-apjwnwky	53	3	,	,	PUNCT
cord-248050-apjwnwky	53	4	we	we	PRON
cord-248050-apjwnwky	53	5	have	have	AUX
cord-248050-apjwnwky	53	6	added	add	VERB
cord-248050-apjwnwky	53	7	a	a	DET
cord-248050-apjwnwky	53	8	term	term	NOUN
cord-248050-apjwnwky	53	9	−mi	−mi	PROPN
cord-248050-apjwnwky	53	10	on	on	ADP
cord-248050-apjwnwky	53	11	the	the	DET
cord-248050-apjwnwky	53	12	right	right	ADJ
cord-248050-apjwnwky	53	13	-	-	PUNCT
cord-248050-apjwnwky	53	14	hand	hand	NOUN
cord-248050-apjwnwky	53	15	side	side	NOUN
cord-248050-apjwnwky	53	16	of	of	ADP
cord-248050-apjwnwky	53	17	eq	eq	PROPN
cord-248050-apjwnwky	53	18	.	.	PUNCT
cord-248050-apjwnwky	54	1	(	(	PUNCT
cord-248050-apjwnwky	54	2	6	6	NUM
cord-248050-apjwnwky	54	3	)	)	PUNCT
cord-248050-apjwnwky	54	4	to	to	PART
cord-248050-apjwnwky	54	5	allow	allow	VERB
cord-248050-apjwnwky	54	6	for	for	ADP
cord-248050-apjwnwky	54	7	death	death	NOUN
cord-248050-apjwnwky	54	8	of	of	ADP
cord-248050-apjwnwky	54	9	infected	infected	ADJ
cord-248050-apjwnwky	54	10	persons	person	NOUN
cord-248050-apjwnwky	54	11	,	,	PUNCT
cord-248050-apjwnwky	54	12	which	which	PRON
cord-248050-apjwnwky	54	13	occurs	occur	VERB
cord-248050-apjwnwky	54	14	at	at	ADP
cord-248050-apjwnwky	54	15	a	a	DET
cord-248050-apjwnwky	54	16	rate	rate	NOUN
cord-248050-apjwnwky	54	17	m	m	NOUN
cord-248050-apjwnwky	54	18	(	(	PUNCT
cord-248050-apjwnwky	54	19	cf	cf	PROPN
cord-248050-apjwnwky	54	20	.	.	PROPN
cord-248050-apjwnwky	55	1	sird	sird	PROPN
cord-248050-apjwnwky	55	2	model	model	PROPN
cord-248050-apjwnwky	56	1	[	[	X
cord-248050-apjwnwky	56	2	84	84	NUM
cord-248050-apjwnwky	56	3	,	,	PUNCT
cord-248050-apjwnwky	56	4	85	85	NUM
cord-248050-apjwnwky	56	5	]	]	PUNCT
cord-248050-apjwnwky	56	6	)	)	PUNCT
cord-248050-apjwnwky	56	7	.	.	PUNCT
cord-248050-apjwnwky	57	1	since	since	SCONJ
cord-248050-apjwnwky	57	2	we	we	PRON
cord-248050-apjwnwky	57	3	are	be	AUX
cord-248050-apjwnwky	57	4	mainly	mainly	ADV
cord-248050-apjwnwky	57	5	interested	interested	ADJ
cord-248050-apjwnwky	57	6	in	in	ADP
cord-248050-apjwnwky	57	7	how	how	SCONJ
cord-248050-apjwnwky	57	8	fast	fast	ADV
cord-248050-apjwnwky	57	9	the	the	DET
cord-248050-apjwnwky	57	10	infection	infection	NOUN
cord-248050-apjwnwky	57	11	spreads	spread	VERB
cord-248050-apjwnwky	57	12	,	,	PUNCT
cord-248050-apjwnwky	57	13	we	we	PRON
cord-248050-apjwnwky	57	14	will	will	AUX
cord-248050-apjwnwky	57	15	set	set	VERB
cord-248050-apjwnwky	57	16	m	m	NOUN
cord-248050-apjwnwky	57	17	=	=	NOUN
cord-248050-apjwnwky	57	18	0	0	NUM
cord-248050-apjwnwky	57	19	in	in	ADP
cord-248050-apjwnwky	57	20	the	the	DET
cord-248050-apjwnwky	57	21	following	following	NOUN
cord-248050-apjwnwky	57	22	.	.	PUNCT
cord-248050-apjwnwky	58	1	in	in	ADP
cord-248050-apjwnwky	58	2	this	this	DET
cord-248050-apjwnwky	58	3	case	case	NOUN
cord-248050-apjwnwky	58	4	,	,	PUNCT
cord-248050-apjwnwky	58	5	since	since	SCONJ
cord-248050-apjwnwky	58	6	the	the	DET
cord-248050-apjwnwky	58	7	total	total	ADJ
cord-248050-apjwnwky	58	8	number	number	NOUN
cord-248050-apjwnwky	58	9	of	of	ADP
cord-248050-apjwnwky	58	10	persons	person	NOUN
cord-248050-apjwnwky	58	11	is	be	AUX
cord-248050-apjwnwky	58	12	constant	constant	ADJ
cord-248050-apjwnwky	58	13	,	,	PUNCT
cord-248050-apjwnwky	58	14	one	one	PRON
cord-248050-apjwnwky	58	15	can	can	AUX
cord-248050-apjwnwky	58	16	easily	easily	ADV
cord-248050-apjwnwky	58	17	show	show	VERB
cord-248050-apjwnwky	58	18	that	that	PRON
cord-248050-apjwnwky	58	19	is	be	AUX
cord-248050-apjwnwky	58	20	a	a	DET
cord-248050-apjwnwky	58	21	conserved	conserved	ADJ
cord-248050-apjwnwky	58	22	current	current	NOUN
cord-248050-apjwnwky	58	23	.	.	PUNCT
cord-248050-apjwnwky	59	1	the	the	DET
cord-248050-apjwnwky	59	2	ideal	ideal	ADJ
cord-248050-apjwnwky	59	3	gas	gas	NOUN
cord-248050-apjwnwky	59	4	term	term	NOUN
cord-248050-apjwnwky	59	5	f	f	PROPN
cord-248050-apjwnwky	59	6	i	i	PROPN
cord-248050-apjwnwky	59	7	d	d	X
cord-248050-apjwnwky	59	8	in	in	ADP
cord-248050-apjwnwky	59	9	the	the	DET
cord-248050-apjwnwky	59	10	free	free	ADJ
cord-248050-apjwnwky	59	11	energy	energy	NOUN
cord-248050-apjwnwky	59	12	corresponds	correspond	VERB
cord-248050-apjwnwky	59	13	to	to	ADP
cord-248050-apjwnwky	59	14	a	a	DET
cord-248050-apjwnwky	59	15	system	system	NOUN
cord-248050-apjwnwky	59	16	of	of	ADP
cord-248050-apjwnwky	59	17	noninteracting	noninteracte	VERB
cord-248050-apjwnwky	59	18	persons	person	NOUN
cord-248050-apjwnwky	59	19	and	and	CCONJ
cord-248050-apjwnwky	59	20	ensures	ensure	VERB
cord-248050-apjwnwky	59	21	that	that	SCONJ
cord-248050-apjwnwky	59	22	standard	standard	ADJ
cord-248050-apjwnwky	59	23	reaction	reaction	NOUN
cord-248050-apjwnwky	59	24	-	-	PUNCT
cord-248050-apjwnwky	59	25	diffusion	diffusion	NOUN
cord-248050-apjwnwky	59	26	models	model	NOUN
cord-248050-apjwnwky	59	27	for	for	ADP
cord-248050-apjwnwky	59	28	disease	disease	NOUN
cord-248050-apjwnwky	59	29	spreading	spread	VERB
cord-248050-apjwnwky	59	30	[	[	X
cord-248050-apjwnwky	59	31	35	35	NUM
cord-248050-apjwnwky	59	32	]	]	PUNCT
cord-248050-apjwnwky	59	33	arise	arise	VERB
cord-248050-apjwnwky	59	34	as	as	ADP
cord-248050-apjwnwky	59	35	a	a	DET
cord-248050-apjwnwky	59	36	limiting	limiting	NOUN
cord-248050-apjwnwky	59	37	case	case	NOUN
cord-248050-apjwnwky	59	38	.	.	PUNCT
cord-248050-apjwnwky	60	1	the	the	DET
cord-248050-apjwnwky	60	2	temperature	temperature	NOUN
cord-248050-apjwnwky	60	3	measures	measure	VERB
cord-248050-apjwnwky	60	4	the	the	DET
cord-248050-apjwnwky	60	5	intensity	intensity	NOUN
cord-248050-apjwnwky	60	6	of	of	ADP
cord-248050-apjwnwky	60	7	motion	motion	NOUN
cord-248050-apjwnwky	60	8	of	of	ADP
cord-248050-apjwnwky	60	9	the	the	DET
cord-248050-apjwnwky	60	10	persons	person	NOUN
cord-248050-apjwnwky	60	11	.	.	PUNCT
cord-248050-apjwnwky	61	1	a	a	DET
cord-248050-apjwnwky	61	2	normal	normal	ADJ
cord-248050-apjwnwky	61	3	social	social	ADJ
cord-248050-apjwnwky	61	4	life	life	NOUN
cord-248050-apjwnwky	61	5	corresponds	correspond	VERB
cord-248050-apjwnwky	61	6	to	to	ADP
cord-248050-apjwnwky	61	7	an	an	DET
cord-248050-apjwnwky	61	8	average	average	ADJ
cord-248050-apjwnwky	61	9	temperature	temperature	NOUN
cord-248050-apjwnwky	61	10	,	,	PUNCT
cord-248050-apjwnwky	61	11	while	while	SCONJ
cord-248050-apjwnwky	61	12	the	the	DET
cord-248050-apjwnwky	61	13	restrictions	restriction	NOUN
cord-248050-apjwnwky	61	14	associated	associate	VERB
cord-248050-apjwnwky	61	15	with	with	ADP
cord-248050-apjwnwky	61	16	a	a	DET
cord-248050-apjwnwky	61	17	pandemic	pandemic	NOUN
cord-248050-apjwnwky	61	18	will	will	AUX
cord-248050-apjwnwky	61	19	lead	lead	VERB
cord-248050-apjwnwky	61	20	to	to	ADP
cord-248050-apjwnwky	61	21	a	a	DET
cord-248050-apjwnwky	61	22	lower	low	ADJ
cord-248050-apjwnwky	61	23	temperature	temperature	NOUN
cord-248050-apjwnwky	61	24	.	.	PUNCT
cord-248050-apjwnwky	62	1	moreover	moreover	ADV
cord-248050-apjwnwky	62	2	,	,	PUNCT
cord-248050-apjwnwky	62	3	the	the	DET
cord-248050-apjwnwky	62	4	temperature	temperature	NOUN
cord-248050-apjwnwky	62	5	can	can	AUX
cord-248050-apjwnwky	62	6	be	be	AUX
cord-248050-apjwnwky	62	7	position	position	NOUN
cord-248050-apjwnwky	62	8	-	-	PUNCT
cord-248050-apjwnwky	62	9	dependent	dependent	ADJ
cord-248050-apjwnwky	62	10	if	if	SCONJ
cord-248050-apjwnwky	62	11	the	the	DET
cord-248050-apjwnwky	62	12	epidemic	epidemic	NOUN
cord-248050-apjwnwky	62	13	is	be	AUX
cord-248050-apjwnwky	62	14	dealt	deal	VERB
cord-248050-apjwnwky	62	15	with	with	ADP
cord-248050-apjwnwky	62	16	differently	differently	ADV
cord-248050-apjwnwky	62	17	in	in	ADP
cord-248050-apjwnwky	62	18	different	different	ADJ
cord-248050-apjwnwky	62	19	places	place	NOUN
cord-248050-apjwnwky	62	20	.	.	PUNCT
cord-248050-apjwnwky	63	1	the	the	DET
cord-248050-apjwnwky	63	2	excess	excess	ADJ
cord-248050-apjwnwky	63	3	free	free	ADJ
cord-248050-apjwnwky	63	4	energy	energy	NOUN
cord-248050-apjwnwky	63	5	f	f	PROPN
cord-248050-apjwnwky	63	6	exc	exc	PROPN
cord-248050-apjwnwky	63	7	describes	describe	VERB
cord-248050-apjwnwky	63	8	interactions	interaction	NOUN
cord-248050-apjwnwky	63	9	.	.	PUNCT
cord-248050-apjwnwky	64	1	this	this	PRON
cord-248050-apjwnwky	64	2	is	be	AUX
cord-248050-apjwnwky	64	3	crucial	crucial	ADJ
cord-248050-apjwnwky	64	4	here	here	ADV
cord-248050-apjwnwky	64	5	as	as	SCONJ
cord-248050-apjwnwky	64	6	it	it	PRON
cord-248050-apjwnwky	64	7	allows	allow	VERB
cord-248050-apjwnwky	64	8	to	to	PART
cord-248050-apjwnwky	64	9	model	model	VERB
cord-248050-apjwnwky	64	10	effects	effect	NOUN
cord-248050-apjwnwky	64	11	of	of	ADP
cord-248050-apjwnwky	64	12	social	social	ADJ
cord-248050-apjwnwky	64	13	distancing	distancing	NOUN
cord-248050-apjwnwky	64	14	and	and	CCONJ
cord-248050-apjwnwky	64	15	selfisolation	selfisolation	NOUN
cord-248050-apjwnwky	64	16	via	via	ADP
cord-248050-apjwnwky	64	17	a	a	DET
cord-248050-apjwnwky	64	18	repulsive	repulsive	ADJ
cord-248050-apjwnwky	64	19	potential	potential	NOUN
cord-248050-apjwnwky	64	20	between	between	ADP
cord-248050-apjwnwky	64	21	the	the	DET
cord-248050-apjwnwky	64	22	different	different	ADJ
cord-248050-apjwnwky	64	23	persons	person	NOUN
cord-248050-apjwnwky	64	24	.	.	PUNCT
cord-248050-apjwnwky	65	1	social	social	ADJ
cord-248050-apjwnwky	65	2	distancing	distancing	NOUN
cord-248050-apjwnwky	65	3	is	be	AUX
cord-248050-apjwnwky	65	4	a	a	DET
cord-248050-apjwnwky	65	5	repulsion	repulsion	NOUN
cord-248050-apjwnwky	65	6	between	between	ADP
cord-248050-apjwnwky	65	7	healthy	healthy	ADJ
cord-248050-apjwnwky	65	8	persons	person	NOUN
cord-248050-apjwnwky	65	9	,	,	PUNCT
cord-248050-apjwnwky	65	10	while	while	SCONJ
cord-248050-apjwnwky	65	11	self	self	NOUN
cord-248050-apjwnwky	65	12	-	-	PUNCT
cord-248050-apjwnwky	65	13	isolation	isolation	NOUN
cord-248050-apjwnwky	65	14	corresponds	correspond	VERB
cord-248050-apjwnwky	65	15	to	to	ADP
cord-248050-apjwnwky	65	16	a	a	DET
cord-248050-apjwnwky	65	17	stronger	strong	ADJ
cord-248050-apjwnwky	65	18	repulsive	repulsive	ADJ
cord-248050-apjwnwky	65	19	potential	potential	NOUN
cord-248050-apjwnwky	65	20	between	between	ADP
cord-248050-apjwnwky	65	21	infected	infected	ADJ
cord-248050-apjwnwky	65	22	persons	person	NOUN
cord-248050-apjwnwky	65	23	and	and	CCONJ
cord-248050-apjwnwky	65	24	other	other	ADJ
cord-248050-apjwnwky	65	25	persons	person	NOUN
cord-248050-apjwnwky	65	26	.	.	PUNCT
cord-248050-apjwnwky	66	1	thus	thus	ADV
cord-248050-apjwnwky	66	2	,	,	PUNCT
cord-248050-apjwnwky	66	3	we	we	PRON
cord-248050-apjwnwky	66	4	set	set	VERB
cord-248050-apjwnwky	66	5	f	f	PROPN
cord-248050-apjwnwky	66	6	exc	exc	NOUN
cord-248050-apjwnwky	66	7	=	=	SYM
cord-248050-apjwnwky	66	8	f	f	PROPN
cord-248050-apjwnwky	66	9	sd	sd	PROPN
cord-248050-apjwnwky	66	10	+	+	CCONJ
cord-248050-apjwnwky	66	11	f	f	PROPN
cord-248050-apjwnwky	66	12	si	si	PROPN
cord-248050-apjwnwky	66	13	with	with	ADP
cord-248050-apjwnwky	66	14	f	f	PROPN
cord-248050-apjwnwky	66	15	sd	sd	PROPN
cord-248050-apjwnwky	66	16	describing	describe	VERB
cord-248050-apjwnwky	66	17	social	social	ADJ
cord-248050-apjwnwky	66	18	distancing	distancing	NOUN
cord-248050-apjwnwky	66	19	and	and	CCONJ
cord-248050-apjwnwky	66	20	f	f	PROPN
cord-248050-apjwnwky	66	21	si	si	PROPN
cord-248050-apjwnwky	66	22	self	self	NOUN
cord-248050-apjwnwky	66	23	-	-	PUNCT
cord-248050-apjwnwky	66	24	isolation	isolation	NOUN
cord-248050-apjwnwky	66	25	.	.	PUNCT
cord-248050-apjwnwky	67	1	note	note	VERB
cord-248050-apjwnwky	67	2	that	that	SCONJ
cord-248050-apjwnwky	67	3	effects	effect	NOUN
cord-248050-apjwnwky	67	4	of	of	ADP
cord-248050-apjwnwky	67	5	such	such	DET
cord-248050-apjwnwky	67	6	a	a	DET
cord-248050-apjwnwky	67	7	repulsive	repulsive	ADJ
cord-248050-apjwnwky	67	8	interaction	interaction	NOUN
cord-248050-apjwnwky	67	9	are	be	AUX
cord-248050-apjwnwky	67	10	not	not	PART
cord-248050-apjwnwky	67	11	necessarily	necessarily	ADV
cord-248050-apjwnwky	67	12	covered	cover	VERB
cord-248050-apjwnwky	67	13	by	by	ADP
cord-248050-apjwnwky	67	14	a	a	DET
cord-248050-apjwnwky	67	15	general	general	ADJ
cord-248050-apjwnwky	67	16	reduction	reduction	NOUN
cord-248050-apjwnwky	67	17	of	of	ADP
cord-248050-apjwnwky	67	18	the	the	DET
cord-248050-apjwnwky	67	19	diffusivity	diffusivity	NOUN
cord-248050-apjwnwky	67	20	in	in	ADP
cord-248050-apjwnwky	67	21	existing	exist	VERB
cord-248050-apjwnwky	67	22	reaction	reaction	NOUN
cord-248050-apjwnwky	67	23	-	-	PUNCT
cord-248050-apjwnwky	67	24	diffusion	diffusion	NOUN
cord-248050-apjwnwky	67	25	models	model	NOUN
cord-248050-apjwnwky	67	26	.	.	PUNCT
cord-248050-apjwnwky	68	1	for	for	ADP
cord-248050-apjwnwky	68	2	example	example	NOUN
cord-248050-apjwnwky	68	3	,	,	PUNCT
cord-248050-apjwnwky	68	4	if	if	SCONJ
cord-248050-apjwnwky	68	5	people	people	NOUN
cord-248050-apjwnwky	68	6	practice	practice	VERB
cord-248050-apjwnwky	68	7	social	social	ADJ
cord-248050-apjwnwky	68	8	distancing	distancing	NOUN
cord-248050-apjwnwky	68	9	,	,	PUNCT
cord-248050-apjwnwky	68	10	they	they	PRON
cord-248050-apjwnwky	68	11	will	will	AUX
cord-248050-apjwnwky	68	12	keep	keep	VERB
cord-248050-apjwnwky	68	13	a	a	DET
cord-248050-apjwnwky	68	14	certain	certain	ADJ
cord-248050-apjwnwky	68	15	distance	distance	NOUN
cord-248050-apjwnwky	68	16	(	(	PUNCT
cord-248050-apjwnwky	68	17	6	6	NUM
cord-248050-apjwnwky	68	18	feet	foot	NOUN
cord-248050-apjwnwky	68	19	is	be	AUX
cord-248050-apjwnwky	68	20	recommended	recommend	VERB
cord-248050-apjwnwky	68	21	[	[	X
cord-248050-apjwnwky	68	22	86	86	NUM
cord-248050-apjwnwky	68	23	]	]	PUNCT
cord-248050-apjwnwky	68	24	)	)	PUNCT
cord-248050-apjwnwky	68	25	in	in	ADP
cord-248050-apjwnwky	68	26	places	place	NOUN
cord-248050-apjwnwky	68	27	such	such	ADJ
cord-248050-apjwnwky	68	28	as	as	ADP
cord-248050-apjwnwky	68	29	supermarkets	supermarket	NOUN
cord-248050-apjwnwky	68	30	,	,	PUNCT
cord-248050-apjwnwky	68	31	where	where	SCONJ
cord-248050-apjwnwky	68	32	persons	person	NOUN
cord-248050-apjwnwky	68	33	accumulate	accumulate	VERB
cord-248050-apjwnwky	68	34	even	even	ADV
cord-248050-apjwnwky	68	35	during	during	ADP
cord-248050-apjwnwky	68	36	a	a	DET
cord-248050-apjwnwky	68	37	pandemic	pandemic	NOUN
cord-248050-apjwnwky	68	38	,	,	PUNCT
cord-248050-apjwnwky	68	39	or	or	CCONJ
cord-248050-apjwnwky	68	40	if	if	SCONJ
cord-248050-apjwnwky	68	41	people	people	NOUN
cord-248050-apjwnwky	68	42	live	live	VERB
cord-248050-apjwnwky	68	43	in	in	ADP
cord-248050-apjwnwky	68	44	crowded	crowded	ADJ
cord-248050-apjwnwky	68	45	environments	environment	NOUN
cord-248050-apjwnwky	68	46	,	,	PUNCT
cord-248050-apjwnwky	68	47	as	as	SCONJ
cord-248050-apjwnwky	68	48	was	be	AUX
cord-248050-apjwnwky	68	49	the	the	DET
cord-248050-apjwnwky	68	50	case	case	NOUN
cord-248050-apjwnwky	68	51	on	on	ADP
cord-248050-apjwnwky	68	52	the	the	DET
cord-248050-apjwnwky	68	53	ship	ship	NOUN
cord-248050-apjwnwky	68	54	"	"	PUNCT
cord-248050-apjwnwky	68	55	diamond	diamond	NOUN
cord-248050-apjwnwky	68	56	princess	princess	NOUN
cord-248050-apjwnwky	68	57	"	"	PUNCT
cord-248050-apjwnwky	69	1	[	[	PUNCT
cord-248050-apjwnwky	69	2	16	16	NUM
cord-248050-apjwnwky	69	3	]	]	PUNCT
cord-248050-apjwnwky	69	4	.	.	PUNCT
cord-248050-apjwnwky	70	1	in	in	ADP
cord-248050-apjwnwky	70	2	our	our	PRON
cord-248050-apjwnwky	70	3	model	model	NOUN
cord-248050-apjwnwky	70	4	,	,	PUNCT
cord-248050-apjwnwky	70	5	in	in	ADP
cord-248050-apjwnwky	70	6	the	the	DET
cord-248050-apjwnwky	70	7	cases	case	NOUN
cord-248050-apjwnwky	70	8	of	of	ADP
cord-248050-apjwnwky	70	9	two	two	NUM
cord-248050-apjwnwky	70	10	particles	particle	NOUN
cord-248050-apjwnwky	70	11	approaching	approach	VERB
cord-248050-apjwnwky	70	12	each	each	DET
cord-248050-apjwnwky	70	13	other	other	ADJ
cord-248050-apjwnwky	70	14	,	,	PUNCT
cord-248050-apjwnwky	70	15	which	which	PRON
cord-248050-apjwnwky	70	16	even	even	ADV
cord-248050-apjwnwky	70	17	at	at	ADP
cord-248050-apjwnwky	70	18	lower	low	ADJ
cord-248050-apjwnwky	70	19	temperatures	temperature	NOUN
cord-248050-apjwnwky	70	20	still	still	ADV
cord-248050-apjwnwky	70	21	happens	happen	VERB
cord-248050-apjwnwky	70	22	,	,	PUNCT
cord-248050-apjwnwky	70	23	repulsive	repulsive	ADJ
cord-248050-apjwnwky	70	24	interactions	interaction	NOUN
cord-248050-apjwnwky	70	25	will	will	AUX
cord-248050-apjwnwky	70	26	reduce	reduce	VERB
cord-248050-apjwnwky	70	27	the	the	DET
cord-248050-apjwnwky	70	28	probability	probability	NOUN
cord-248050-apjwnwky	70	29	of	of	ADP
cord-248050-apjwnwky	70	30	a	a	DET
cord-248050-apjwnwky	70	31	collision	collision	NOUN
cord-248050-apjwnwky	70	32	and	and	CCONJ
cord-248050-apjwnwky	70	33	thus	thus	ADV
cord-248050-apjwnwky	70	34	of	of	ADP
cord-248050-apjwnwky	70	35	an	an	DET
cord-248050-apjwnwky	70	36	infection	infection	NOUN
cord-248050-apjwnwky	70	37	.	.	PUNCT
cord-248050-apjwnwky	71	1	existing	exist	VERB
cord-248050-apjwnwky	71	2	models	model	NOUN
cord-248050-apjwnwky	71	3	can	can	AUX
cord-248050-apjwnwky	71	4	only	only	ADV
cord-248050-apjwnwky	71	5	incorporate	incorporate	VERB
cord-248050-apjwnwky	71	6	this	this	PRON
cord-248050-apjwnwky	71	7	in	in	ADP
cord-248050-apjwnwky	71	8	an	an	DET
cord-248050-apjwnwky	71	9	effective	effective	ADJ
cord-248050-apjwnwky	71	10	way	way	NOUN
cord-248050-apjwnwky	71	11	as	as	ADP
cord-248050-apjwnwky	71	12	a	a	DET
cord-248050-apjwnwky	71	13	reduction	reduction	NOUN
cord-248050-apjwnwky	71	14	of	of	ADP
cord-248050-apjwnwky	71	15	the	the	DET
cord-248050-apjwnwky	71	16	transmission	transmission	NOUN
cord-248050-apjwnwky	71	17	rate	rate	NOUN
cord-248050-apjwnwky	71	18	c	c	PROPN
cord-248050-apjwnwky	71	19	,	,	PUNCT
cord-248050-apjwnwky	71	20	which	which	PRON
cord-248050-apjwnwky	71	21	implies	imply	VERB
cord-248050-apjwnwky	71	22	,	,	PUNCT
cord-248050-apjwnwky	71	23	however	however	ADV
cord-248050-apjwnwky	71	24	,	,	PUNCT
cord-248050-apjwnwky	71	25	that	that	SCONJ
cord-248050-apjwnwky	71	26	properties	property	NOUN
cord-248050-apjwnwky	71	27	of	of	ADP
cord-248050-apjwnwky	71	28	the	the	DET
cord-248050-apjwnwky	71	29	disease	disease	NOUN
cord-248050-apjwnwky	71	30	(	(	PUNCT
cord-248050-apjwnwky	71	31	how	how	SCONJ
cord-248050-apjwnwky	71	32	infectious	infectious	ADJ
cord-248050-apjwnwky	71	33	is	be	AUX
cord-248050-apjwnwky	71	34	it	it	PRON
cord-248050-apjwnwky	71	35	?	?	PUNCT
cord-248050-apjwnwky	71	36	)	)	PUNCT
cord-248050-apjwnwky	71	37	and	and	CCONJ
cord-248050-apjwnwky	71	38	measures	measure	NOUN
cord-248050-apjwnwky	71	39	implemented	implement	VERB
cord-248050-apjwnwky	71	40	against	against	ADP
cord-248050-apjwnwky	71	41	it	it	PRON
cord-248050-apjwnwky	71	42	(	(	PUNCT
cord-248050-apjwnwky	71	43	do	do	AUX
cord-248050-apjwnwky	71	44	people	people	NOUN
cord-248050-apjwnwky	71	45	stay	stay	VERB
cord-248050-apjwnwky	71	46	away	away	ADV
cord-248050-apjwnwky	71	47	from	from	ADP
cord-248050-apjwnwky	71	48	each	each	DET
cord-248050-apjwnwky	71	49	other	other	ADJ
cord-248050-apjwnwky	71	50	?	?	PUNCT
cord-248050-apjwnwky	71	51	)	)	PUNCT
cord-248050-apjwnwky	71	52	can	can	AUX
cord-248050-apjwnwky	71	53	not	not	PART
cord-248050-apjwnwky	71	54	be	be	AUX
cord-248050-apjwnwky	71	55	modelled	model	VERB
cord-248050-apjwnwky	71	56	independently	independently	ADV
cord-248050-apjwnwky	71	57	.	.	PUNCT
cord-248050-apjwnwky	72	1	furthermore	furthermore	ADV
cord-248050-apjwnwky	72	2	,	,	PUNCT
cord-248050-apjwnwky	72	3	interactions	interaction	NOUN
cord-248050-apjwnwky	72	4	allow	allow	VERB
cord-248050-apjwnwky	72	5	for	for	ADP
cord-248050-apjwnwky	72	6	the	the	DET
cord-248050-apjwnwky	72	7	emergence	emergence	NOUN
cord-248050-apjwnwky	72	8	of	of	ADP
cord-248050-apjwnwky	72	9	spatio	spatio	ADJ
cord-248050-apjwnwky	72	10	-	-	ADJ
cord-248050-apjwnwky	72	11	temporal	temporal	ADJ
cord-248050-apjwnwky	72	12	patterns	pattern	NOUN
cord-248050-apjwnwky	72	13	.	.	PUNCT
cord-248050-apjwnwky	73	1	the	the	DET
cord-248050-apjwnwky	73	2	final	final	ADJ
cord-248050-apjwnwky	73	3	contribution	contribution	NOUN
cord-248050-apjwnwky	73	4	is	be	AUX
cord-248050-apjwnwky	73	5	the	the	DET
cord-248050-apjwnwky	73	6	external	external	ADJ
cord-248050-apjwnwky	73	7	potential	potential	NOUN
cord-248050-apjwnwky	73	8	u	u	NOUN
cord-248050-apjwnwky	73	9	ext	ext	NOUN
cord-248050-apjwnwky	73	10	.	.	PUNCT
cord-248050-apjwnwky	74	1	in	in	ADP
cord-248050-apjwnwky	74	2	general	general	ADJ
cord-248050-apjwnwky	74	3	,	,	PUNCT
cord-248050-apjwnwky	74	4	it	it	PRON
cord-248050-apjwnwky	74	5	allows	allow	VERB
cord-248050-apjwnwky	74	6	to	to	PART
cord-248050-apjwnwky	74	7	incorporate	incorporate	VERB
cord-248050-apjwnwky	74	8	effects	effect	NOUN
cord-248050-apjwnwky	74	9	of	of	ADP
cord-248050-apjwnwky	74	10	confinement	confinement	NOUN
cord-248050-apjwnwky	74	11	into	into	ADP
cord-248050-apjwnwky	74	12	ddft	ddft	PROPN
cord-248050-apjwnwky	74	13	.	.	PUNCT
cord-248050-apjwnwky	75	1	here	here	ADV
cord-248050-apjwnwky	75	2	,	,	PUNCT
cord-248050-apjwnwky	75	3	it	it	PRON
cord-248050-apjwnwky	75	4	corresponds	correspond	VERB
cord-248050-apjwnwky	75	5	to	to	ADP
cord-248050-apjwnwky	75	6	things	thing	NOUN
cord-248050-apjwnwky	75	7	such	such	ADJ
cord-248050-apjwnwky	75	8	as	as	ADP
cord-248050-apjwnwky	75	9	externally	externally	ADV
cord-248050-apjwnwky	75	10	imposed	impose	VERB
cord-248050-apjwnwky	75	11	restrictions	restriction	NOUN
cord-248050-apjwnwky	75	12	of	of	ADP
cord-248050-apjwnwky	75	13	movement	movement	NOUN
cord-248050-apjwnwky	75	14	.	.	PUNCT
cord-248050-apjwnwky	76	1	travel	travel	NOUN
cord-248050-apjwnwky	76	2	bans	ban	NOUN
cord-248050-apjwnwky	76	3	or	or	CCONJ
cord-248050-apjwnwky	76	4	the	the	DET
cord-248050-apjwnwky	76	5	isolation	isolation	NOUN
cord-248050-apjwnwky	76	6	of	of	ADP
cord-248050-apjwnwky	76	7	a	a	DET
cord-248050-apjwnwky	76	8	region	region	NOUN
cord-248050-apjwnwky	76	9	with	with	ADP
cord-248050-apjwnwky	76	10	high	high	ADJ
cord-248050-apjwnwky	76	11	rates	rate	NOUN
cord-248050-apjwnwky	76	12	of	of	ADP
cord-248050-apjwnwky	76	13	infection	infection	NOUN
cord-248050-apjwnwky	76	14	enter	enter	VERB
cord-248050-apjwnwky	76	15	the	the	DET
cord-248050-apjwnwky	76	16	model	model	NOUN
cord-248050-apjwnwky	76	17	as	as	ADP
cord-248050-apjwnwky	76	18	potential	potential	ADJ
cord-248050-apjwnwky	76	19	wells	well	NOUN
cord-248050-apjwnwky	76	20	.	.	PUNCT
cord-248050-apjwnwky	77	1	the	the	DET
cord-248050-apjwnwky	77	2	advantage	advantage	NOUN
cord-248050-apjwnwky	77	3	of	of	ADP
cord-248050-apjwnwky	77	4	our	our	PRON
cord-248050-apjwnwky	77	5	model	model	NOUN
cord-248050-apjwnwky	77	6	compared	compare	VERB
cord-248050-apjwnwky	77	7	to	to	ADP
cord-248050-apjwnwky	77	8	the	the	DET
cord-248050-apjwnwky	77	9	standard	standard	ADJ
cord-248050-apjwnwky	77	10	sir	sir	PROPN
cord-248050-apjwnwky	77	11	theory	theory	NOUN
cord-248050-apjwnwky	77	12	is	be	AUX
cord-248050-apjwnwky	77	13	that	that	SCONJ
cord-248050-apjwnwky	77	14	it	it	PRON
cord-248050-apjwnwky	77	15	allows	allow	VERB
cord-248050-apjwnwky	77	16	-in	-in	X
cord-248050-apjwnwky	77	17	a	a	DET
cord-248050-apjwnwky	77	18	way	way	NOUN
cord-248050-apjwnwky	77	19	that	that	PRON
cord-248050-apjwnwky	77	20	is	be	AUX
cord-248050-apjwnwky	77	21	computationally	computationally	ADV
cord-248050-apjwnwky	77	22	much	much	ADV
cord-248050-apjwnwky	77	23	less	less	ADV
cord-248050-apjwnwky	77	24	expensive	expensive	ADJ
cord-248050-apjwnwky	77	25	than	than	ADP
cord-248050-apjwnwky	77	26	"	"	PUNCT
cord-248050-apjwnwky	77	27	microscopic	microscopic	ADJ
cord-248050-apjwnwky	77	28	"	"	PUNCT
cord-248050-apjwnwky	77	29	simulations	simulation	NOUN
cord-248050-apjwnwky	77	30	,	,	PUNCT
cord-248050-apjwnwky	77	31	since	since	SCONJ
cord-248050-apjwnwky	77	32	the	the	DET
cord-248050-apjwnwky	77	33	computational	computational	ADJ
cord-248050-apjwnwky	77	34	cost	cost	NOUN
cord-248050-apjwnwky	77	35	is	be	AUX
cord-248050-apjwnwky	77	36	independent	independent	ADJ
cord-248050-apjwnwky	77	37	of	of	ADP
cord-248050-apjwnwky	77	38	the	the	DET
cord-248050-apjwnwky	77	39	number	number	NOUN
cord-248050-apjwnwky	77	40	of	of	ADP
cord-248050-apjwnwky	77	41	persons	person	NOUN
cord-248050-apjwnwky	78	1	[	[	X
cord-248050-apjwnwky	78	2	87	87	NUM
cord-248050-apjwnwky	78	3	]	]	PUNCT
cord-248050-apjwnwky	78	4	-to	-to	X
cord-248050-apjwnwky	78	5	study	study	VERB
cord-248050-apjwnwky	78	6	the	the	DET
cord-248050-apjwnwky	78	7	way	way	NOUN
cord-248050-apjwnwky	78	8	in	in	ADP
cord-248050-apjwnwky	78	9	which	which	PRON
cord-248050-apjwnwky	78	10	different	different	ADJ
cord-248050-apjwnwky	78	11	actions	action	NOUN
cord-248050-apjwnwky	78	12	affect	affect	VERB
cord-248050-apjwnwky	78	13	how	how	SCONJ
cord-248050-apjwnwky	78	14	the	the	DET
cord-248050-apjwnwky	78	15	disease	disease	NOUN
cord-248050-apjwnwky	78	16	spreads	spread	VERB
cord-248050-apjwnwky	78	17	.	.	PUNCT
cord-248050-apjwnwky	79	1	for	for	ADP
cord-248050-apjwnwky	79	2	example	example	NOUN
cord-248050-apjwnwky	79	3	,	,	PUNCT
cord-248050-apjwnwky	79	4	people	people	NOUN
cord-248050-apjwnwky	79	5	staying	stay	VERB
cord-248050-apjwnwky	79	6	at	at	ADP
cord-248050-apjwnwky	79	7	home	home	NOUN
cord-248050-apjwnwky	79	8	corresponds	correspond	VERB
cord-248050-apjwnwky	79	9	to	to	ADP
cord-248050-apjwnwky	79	10	reducing	reduce	VERB
cord-248050-apjwnwky	79	11	the	the	DET
cord-248050-apjwnwky	79	12	temperature	temperature	NOUN
cord-248050-apjwnwky	79	13	,	,	PUNCT
cord-248050-apjwnwky	79	14	quarantine	quarantine	NOUN
cord-248050-apjwnwky	79	15	measures	measure	NOUN
cord-248050-apjwnwky	79	16	correspond	correspond	VERB
cord-248050-apjwnwky	79	17	to	to	ADP
cord-248050-apjwnwky	79	18	a	a	DET
cord-248050-apjwnwky	79	19	strongly	strongly	ADV
cord-248050-apjwnwky	79	20	repulsive	repulsive	ADJ
cord-248050-apjwnwky	79	21	potential	potential	NOUN
cord-248050-apjwnwky	79	22	between	between	ADP
cord-248050-apjwnwky	79	23	infected	infect	VERB
cord-248050-apjwnwky	79	24	an	an	DET
cord-248050-apjwnwky	79	25	healthy	healthy	ADJ
cord-248050-apjwnwky	79	26	persons	person	NOUN
cord-248050-apjwnwky	79	27	,	,	PUNCT
cord-248050-apjwnwky	79	28	and	and	CCONJ
cord-248050-apjwnwky	79	29	mass	mass	NOUN
cord-248050-apjwnwky	79	30	events	event	NOUN
cord-248050-apjwnwky	79	31	correspond	correspond	VERB
cord-248050-apjwnwky	79	32	to	to	ADP
cord-248050-apjwnwky	79	33	attractive	attractive	ADJ
cord-248050-apjwnwky	79	34	potentials	potential	NOUN
cord-248050-apjwnwky	79	35	.	.	PUNCT
cord-248050-apjwnwky	80	1	specifically	specifically	ADV
cord-248050-apjwnwky	80	2	,	,	PUNCT
cord-248050-apjwnwky	80	3	we	we	PRON
cord-248050-apjwnwky	80	4	assume	assume	VERB
cord-248050-apjwnwky	80	5	that	that	SCONJ
cord-248050-apjwnwky	80	6	both	both	DET
cord-248050-apjwnwky	80	7	types	type	NOUN
cord-248050-apjwnwky	80	8	of	of	ADP
cord-248050-apjwnwky	80	9	interactions	interaction	NOUN
cord-248050-apjwnwky	80	10	can	can	AUX
cord-248050-apjwnwky	80	11	be	be	AUX
cord-248050-apjwnwky	80	12	modelled	model	VERB
cord-248050-apjwnwky	80	13	via	via	ADP
cord-248050-apjwnwky	80	14	gaussian	gaussian	ADJ
cord-248050-apjwnwky	80	15	pair	pair	NOUN
cord-248050-apjwnwky	80	16	potentials	potential	NOUN
cord-248050-apjwnwky	80	17	,	,	PUNCT
cord-248050-apjwnwky	80	18	depending	depend	VERB
cord-248050-apjwnwky	80	19	on	on	ADP
cord-248050-apjwnwky	80	20	the	the	DET
cord-248050-apjwnwky	80	21	parameters	parameter	NOUN
cord-248050-apjwnwky	80	22	c	c	PROPN
cord-248050-apjwnwky	80	23	sd	sd	PROPN
cord-248050-apjwnwky	80	24	and	and	CCONJ
cord-248050-apjwnwky	80	25	c	c	NOUN
cord-248050-apjwnwky	80	26	si	si	PROPN
cord-248050-apjwnwky	80	27	determining	determine	VERB
cord-248050-apjwnwky	80	28	the	the	DET
cord-248050-apjwnwky	80	29	strength	strength	NOUN
cord-248050-apjwnwky	80	30	and	and	CCONJ
cord-248050-apjwnwky	80	31	σ	σ	PROPN
cord-248050-apjwnwky	80	32	sd	sd	PROPN
cord-248050-apjwnwky	80	33	and	and	CCONJ
cord-248050-apjwnwky	80	34	σ	σ	PROPN
cord-248050-apjwnwky	80	35	si	si	PROPN
cord-248050-apjwnwky	80	36	determining	determine	VERB
cord-248050-apjwnwky	80	37	the	the	DET
cord-248050-apjwnwky	80	38	range	range	NOUN
cord-248050-apjwnwky	80	39	of	of	ADP
cord-248050-apjwnwky	80	40	the	the	DET
cord-248050-apjwnwky	80	41	interactions	interaction	NOUN
cord-248050-apjwnwky	80	42	.	.	PUNCT
cord-248050-apjwnwky	81	1	combining	combine	VERB
cord-248050-apjwnwky	81	2	this	this	DET
cord-248050-apjwnwky	81	3	assumption	assumption	NOUN
cord-248050-apjwnwky	81	4	with	with	ADP
cord-248050-apjwnwky	81	5	a	a	DET
cord-248050-apjwnwky	81	6	ramakrishnan	ramakrishnan	PROPN
cord-248050-apjwnwky	81	7	-	-	PUNCT
cord-248050-apjwnwky	81	8	yussouff	yussouff	PROPN
cord-248050-apjwnwky	81	9	approximation	approximation	NOUN
cord-248050-apjwnwky	81	10	[	[	X
cord-248050-apjwnwky	81	11	88	88	NUM
cord-248050-apjwnwky	81	12	]	]	PUNCT
cord-248050-apjwnwky	81	13	for	for	ADP
cord-248050-apjwnwky	81	14	the	the	DET
cord-248050-apjwnwky	81	15	excess	excess	ADJ
cord-248050-apjwnwky	81	16	free	free	ADJ
cord-248050-apjwnwky	81	17	energy	energy	NOUN
cord-248050-apjwnwky	81	18	and	and	CCONJ
cord-248050-apjwnwky	81	19	a	a	DET
cord-248050-apjwnwky	81	20	debye	debye	ADJ
cord-248050-apjwnwky	81	21	-	-	PUNCT
cord-248050-apjwnwky	81	22	hückel	hückel	NOUN
cord-248050-apjwnwky	81	23	approximation	approximation	NOUN
cord-248050-apjwnwky	81	24	[	[	X
cord-248050-apjwnwky	81	25	89	89	NUM
cord-248050-apjwnwky	81	26	]	]	PUNCT
cord-248050-apjwnwky	81	27	for	for	ADP
cord-248050-apjwnwky	81	28	the	the	DET
cord-248050-apjwnwky	81	29	two	two	NUM
cord-248050-apjwnwky	81	30	-	-	PUNCT
cord-248050-apjwnwky	81	31	body	body	NOUN
cord-248050-apjwnwky	81	32	correlation	correlation	NOUN
cord-248050-apjwnwky	81	33	,	,	PUNCT
cord-248050-apjwnwky	81	34	we	we	PRON
cord-248050-apjwnwky	81	35	get	get	VERB
cord-248050-apjwnwky	81	36	the	the	DET
cord-248050-apjwnwky	81	37	specific	specific	ADJ
cord-248050-apjwnwky	81	38	sir	sir	PROPN
cord-248050-apjwnwky	81	39	-	-	PUNCT
cord-248050-apjwnwky	81	40	ddft	ddft	PROPN
cord-248050-apjwnwky	81	41	model	model	PROPN
cord-248050-apjwnwky	81	42	with	with	ADP
cord-248050-apjwnwky	81	43	the	the	DET
cord-248050-apjwnwky	81	44	diffusion	diffusion	NOUN
cord-248050-apjwnwky	81	45	coefficients	coefficient	NOUN
cord-248050-apjwnwky	81	46	d	d	X
cord-248050-apjwnwky	81	47	φ	φ	NOUN
cord-248050-apjwnwky	81	48	=	=	PRON
cord-248050-apjwnwky	81	49	γ	γ	X
cord-248050-apjwnwky	81	50	φ	φ	X
cord-248050-apjwnwky	81	51	β	β	X
cord-248050-apjwnwky	81	52	−1	−1	NOUN
cord-248050-apjwnwky	82	1	for	for	ADP
cord-248050-apjwnwky	82	2	φ	φ	NOUN
cord-248050-apjwnwky	82	3	=	=	X
cord-248050-apjwnwky	82	4	s	s	PROPN
cord-248050-apjwnwky	82	5	,	,	PUNCT
cord-248050-apjwnwky	82	6	i	i	PROPN
cord-248050-apjwnwky	82	7	,	,	PUNCT
cord-248050-apjwnwky	82	8	r	r	NOUN
cord-248050-apjwnwky	82	9	,	,	PUNCT
cord-248050-apjwnwky	82	10	the	the	DET
cord-248050-apjwnwky	82	11	kernels	kernel	NOUN
cord-248050-apjwnwky	83	1	k	k	PROPN
cord-248050-apjwnwky	83	2	i	i	PRON
cord-248050-apjwnwky	83	3	(	(	PUNCT
cord-248050-apjwnwky	83	4	r	r	NOUN
cord-248050-apjwnwky	83	5	)	)	PUNCT
cord-248050-apjwnwky	83	6	=	=	PUNCT
cord-248050-apjwnwky	84	1	exp(−σ	exp(−σ	NOUN
cord-248050-apjwnwky	84	2	i	i	PRON
cord-248050-apjwnwky	84	3	r	r	NOUN
cord-248050-apjwnwky	84	4	2	2	NUM
cord-248050-apjwnwky	84	5	)	)	PUNCT
cord-248050-apjwnwky	84	6	for	for	ADP
cord-248050-apjwnwky	84	7	i	i	PROPN
cord-248050-apjwnwky	84	8	=	=	X
cord-248050-apjwnwky	84	9	sd	sd	PROPN
cord-248050-apjwnwky	84	10	,	,	PUNCT
cord-248050-apjwnwky	84	11	si	si	PROPN
cord-248050-apjwnwky	84	12	,	,	PUNCT
cord-248050-apjwnwky	84	13	and	and	CCONJ
cord-248050-apjwnwky	84	14	the	the	DET
cord-248050-apjwnwky	84	15	spatial	spatial	ADJ
cord-248050-apjwnwky	84	16	convolution	convolution	NOUN
cord-248050-apjwnwky	84	17	.	.	PUNCT
cord-248050-apjwnwky	85	1	a	a	DET
cord-248050-apjwnwky	85	2	possible	possible	ADJ
cord-248050-apjwnwky	85	3	generalization	generalization	NOUN
cord-248050-apjwnwky	85	4	is	be	AUX
cord-248050-apjwnwky	85	5	discussed	discuss	VERB
cord-248050-apjwnwky	85	6	in	in	ADP
cord-248050-apjwnwky	85	7	the	the	DET
cord-248050-apjwnwky	85	8	supplemental	supplemental	ADJ
cord-248050-apjwnwky	85	9	material	material	NOUN
cord-248050-apjwnwky	85	10	.	.	PUNCT
cord-248050-apjwnwky	86	1	we	we	PRON
cord-248050-apjwnwky	86	2	begin	begin	VERB
cord-248050-apjwnwky	86	3	our	our	PRON
cord-248050-apjwnwky	86	4	investigation	investigation	NOUN
cord-248050-apjwnwky	86	5	with	with	ADP
cord-248050-apjwnwky	86	6	a	a	DET
cord-248050-apjwnwky	86	7	linear	linear	ADJ
cord-248050-apjwnwky	86	8	stability	stability	NOUN
cord-248050-apjwnwky	86	9	analysis	analysis	NOUN
cord-248050-apjwnwky	86	10	of	of	ADP
cord-248050-apjwnwky	86	11	this	this	DET
cord-248050-apjwnwky	86	12	model	model	NOUN
cord-248050-apjwnwky	86	13	,	,	PUNCT
cord-248050-apjwnwky	86	14	using	use	VERB
cord-248050-apjwnwky	86	15	a	a	DET
cord-248050-apjwnwky	86	16	general	general	ADJ
cord-248050-apjwnwky	86	17	pair	pair	NOUN
cord-248050-apjwnwky	86	18	potential	potential	NOUN
cord-248050-apjwnwky	86	19	,	,	PUNCT
cord-248050-apjwnwky	86	20	in	in	ADP
cord-248050-apjwnwky	86	21	order	order	NOUN
cord-248050-apjwnwky	86	22	to	to	PART
cord-248050-apjwnwky	86	23	determine	determine	VERB
cord-248050-apjwnwky	86	24	whether	whether	SCONJ
cord-248050-apjwnwky	86	25	a	a	DET
cord-248050-apjwnwky	86	26	homogeneous	homogeneous	ADJ
cord-248050-apjwnwky	86	27	state	state	NOUN
cord-248050-apjwnwky	86	28	with	with	ADP
cord-248050-apjwnwky	86	29	i	i	PRON
cord-248050-apjwnwky	86	30	=	=	NOUN
cord-248050-apjwnwky	86	31	0	0	NUM
cord-248050-apjwnwky	86	32	,	,	PUNCT
cord-248050-apjwnwky	86	33	which	which	PRON
cord-248050-apjwnwky	86	34	is	be	AUX
cord-248050-apjwnwky	86	35	always	always	ADV
cord-248050-apjwnwky	86	36	a	a	DET
cord-248050-apjwnwky	86	37	fixed	fix	VERB
cord-248050-apjwnwky	86	38	point	point	NOUN
cord-248050-apjwnwky	86	39	,	,	PUNCT
cord-248050-apjwnwky	86	40	is	be	AUX
cord-248050-apjwnwky	86	41	stable	stable	ADJ
cord-248050-apjwnwky	86	42	.	.	PUNCT
cord-248050-apjwnwky	87	1	the	the	DET
cord-248050-apjwnwky	87	2	full	full	ADJ
cord-248050-apjwnwky	87	3	calculation	calculation	NOUN
cord-248050-apjwnwky	87	4	is	be	AUX
cord-248050-apjwnwky	87	5	given	give	VERB
cord-248050-apjwnwky	87	6	in	in	ADP
cord-248050-apjwnwky	87	7	the	the	DET
cord-248050-apjwnwky	87	8	supplemental	supplemental	ADJ
cord-248050-apjwnwky	87	9	material	material	NOUN
cord-248050-apjwnwky	87	10	.	.	PUNCT
cord-248050-apjwnwky	88	1	in	in	ADP
cord-248050-apjwnwky	88	2	the	the	DET
cord-248050-apjwnwky	88	3	simple	simple	ADJ
cord-248050-apjwnwky	88	4	sir	sir	PROPN
cord-248050-apjwnwky	88	5	model	model	NOUN
cord-248050-apjwnwky	88	6	,	,	PUNCT
cord-248050-apjwnwky	88	7	the	the	DET
cord-248050-apjwnwky	88	8	s	s	NOUN
cord-248050-apjwnwky	88	9	-	-	PUNCT
cord-248050-apjwnwky	88	10	r	r	NOUN
cord-248050-apjwnwky	88	11	plane	plane	NOUN
cord-248050-apjwnwky	88	12	in	in	ADP
cord-248050-apjwnwky	88	13	phase	phase	NOUN
cord-248050-apjwnwky	88	14	space	space	NOUN
cord-248050-apjwnwky	88	15	(	(	PUNCT
cord-248050-apjwnwky	88	16	these	these	PRON
cord-248050-apjwnwky	88	17	are	be	AUX
cord-248050-apjwnwky	88	18	the	the	DET
cord-248050-apjwnwky	88	19	states	state	NOUN
cord-248050-apjwnwky	88	20	where	where	SCONJ
cord-248050-apjwnwky	88	21	everyone	everyone	PRON
cord-248050-apjwnwky	88	22	is	be	AUX
cord-248050-apjwnwky	88	23	healthy	healthy	ADJ
cord-248050-apjwnwky	88	24	)	)	PUNCT
cord-248050-apjwnwky	88	25	becomes	become	VERB
cord-248050-apjwnwky	88	26	unstable	unstable	ADJ
cord-248050-apjwnwky	88	27	when	when	SCONJ
cord-248050-apjwnwky	88	28	cs	cs	PROPN
cord-248050-apjwnwky	88	29	0	0	X
cord-248050-apjwnwky	88	30	>	>	PUNCT
cord-248050-apjwnwky	88	31	w	w	PROPN
cord-248050-apjwnwky	88	32	,	,	PUNCT
cord-248050-apjwnwky	88	33	where	where	SCONJ
cord-248050-apjwnwky	88	34	s	s	VERB
cord-248050-apjwnwky	88	35	0	0	PUNCT
cord-248050-apjwnwky	88	36	is	be	AUX
cord-248050-apjwnwky	88	37	the	the	DET
cord-248050-apjwnwky	88	38	initial	initial	ADJ
cord-248050-apjwnwky	88	39	number	number	NOUN
cord-248050-apjwnwky	88	40	of	of	ADP
cord-248050-apjwnwky	88	41	susceptible	susceptible	ADJ
cord-248050-apjwnwky	88	42	persons	person	NOUN
cord-248050-apjwnwky	88	43	.	.	PUNCT
cord-248050-apjwnwky	89	1	thus	thus	ADV
cord-248050-apjwnwky	89	2	,	,	PUNCT
cord-248050-apjwnwky	89	3	the	the	DET
cord-248050-apjwnwky	89	4	pandemic	pandemic	NOUN
cord-248050-apjwnwky	89	5	can	can	AUX
cord-248050-apjwnwky	89	6	not	not	PART
cord-248050-apjwnwky	89	7	break	break	VERB
cord-248050-apjwnwky	89	8	out	out	ADP
cord-248050-apjwnwky	89	9	if	if	SCONJ
cord-248050-apjwnwky	89	10	persons	person	NOUN
cord-248050-apjwnwky	89	11	recover	recover	VERB
cord-248050-apjwnwky	89	12	faster	fast	ADV
cord-248050-apjwnwky	89	13	than	than	SCONJ
cord-248050-apjwnwky	89	14	they	they	PRON
cord-248050-apjwnwky	89	15	are	be	AUX
cord-248050-apjwnwky	89	16	able	able	ADJ
cord-248050-apjwnwky	89	17	to	to	PART
cord-248050-apjwnwky	89	18	infect	infect	VERB
cord-248050-apjwnwky	89	19	others	other	NOUN
cord-248050-apjwnwky	89	20	.	.	PUNCT
cord-248050-apjwnwky	90	1	a	a	DET
cord-248050-apjwnwky	90	2	linear	linear	ADJ
cord-248050-apjwnwky	90	3	stability	stability	NOUN
cord-248050-apjwnwky	90	4	analysis	analysis	NOUN
cord-248050-apjwnwky	90	5	of	of	ADP
cord-248050-apjwnwky	90	6	the	the	DET
cord-248050-apjwnwky	90	7	full	full	ADJ
cord-248050-apjwnwky	90	8	model	model	NOUN
cord-248050-apjwnwky	90	9	,	,	PUNCT
cord-248050-apjwnwky	90	10	performed	perform	VERB
cord-248050-apjwnwky	90	11	under	under	ADP
cord-248050-apjwnwky	90	12	the	the	DET
cord-248050-apjwnwky	90	13	assumption	assumption	NOUN
cord-248050-apjwnwky	90	14	that	that	SCONJ
cord-248050-apjwnwky	90	15	the	the	DET
cord-248050-apjwnwky	90	16	initial	initial	ADJ
cord-248050-apjwnwky	90	17	number	number	NOUN
cord-248050-apjwnwky	90	18	of	of	ADP
cord-248050-apjwnwky	90	19	immune	immune	ADJ
cord-248050-apjwnwky	90	20	persons	person	NOUN
cord-248050-apjwnwky	90	21	r	r	NOUN
cord-248050-apjwnwky	90	22	0	0	PUNCT
cord-248050-apjwnwky	90	23	is	be	AUX
cord-248050-apjwnwky	90	24	small	small	ADJ
cord-248050-apjwnwky	90	25	(	(	PUNCT
cord-248050-apjwnwky	90	26	which	which	PRON
cord-248050-apjwnwky	90	27	corresponds	correspond	VERB
cord-248050-apjwnwky	90	28	to	to	ADP
cord-248050-apjwnwky	90	29	a	a	DET
cord-248050-apjwnwky	90	30	new	new	ADJ
cord-248050-apjwnwky	90	31	disease	disease	NOUN
cord-248050-apjwnwky	90	32	)	)	PUNCT
cord-248050-apjwnwky	90	33	gives	give	VERB
cord-248050-apjwnwky	90	34	the	the	DET
cord-248050-apjwnwky	90	35	eigenvalue	eigenvalue	NOUN
cord-248050-apjwnwky	90	36	λ	λ	PROPN
cord-248050-apjwnwky	90	37	1	1	NUM
cord-248050-apjwnwky	90	38	=	=	NOUN
cord-248050-apjwnwky	90	39	cs	cs	NOUN
cord-248050-apjwnwky	90	40	0	0	X
cord-248050-apjwnwky	91	1	−w−d	−w−d	INTJ
cord-248050-apjwnwky	91	2	i	i	NOUN
cord-248050-apjwnwky	91	3	k	k	PROPN
cord-248050-apjwnwky	91	4	2	2	NUM
cord-248050-apjwnwky	91	5	with	with	ADP
cord-248050-apjwnwky	91	6	the	the	DET
cord-248050-apjwnwky	91	7	wavenumber	wavenumber	NOUN
cord-248050-apjwnwky	91	8	k	k	PROPN
cord-248050-apjwnwky	91	9	,	,	PUNCT
cord-248050-apjwnwky	91	10	such	such	ADJ
cord-248050-apjwnwky	91	11	that	that	SCONJ
cord-248050-apjwnwky	91	12	this	this	DET
cord-248050-apjwnwky	91	13	instability	instability	NOUN
cord-248050-apjwnwky	91	14	criterion	criterion	NOUN
cord-248050-apjwnwky	91	15	still	still	ADV
cord-248050-apjwnwky	91	16	holds	hold	VERB
cord-248050-apjwnwky	91	17	when	when	SCONJ
cord-248050-apjwnwky	91	18	interactions	interaction	NOUN
cord-248050-apjwnwky	91	19	are	be	AUX
cord-248050-apjwnwky	91	20	present	present	ADJ
cord-248050-apjwnwky	91	21	.	.	PUNCT
cord-248050-apjwnwky	92	1	this	this	PRON
cord-248050-apjwnwky	92	2	means	mean	VERB
cord-248050-apjwnwky	92	3	that	that	SCONJ
cord-248050-apjwnwky	92	4	social	social	ADJ
cord-248050-apjwnwky	92	5	distancing	distancing	NOUN
cord-248050-apjwnwky	92	6	can	can	AUX
cord-248050-apjwnwky	92	7	not	not	PART
cord-248050-apjwnwky	92	8	stabilize	stabilize	VERB
cord-248050-apjwnwky	92	9	a	a	DET
cord-248050-apjwnwky	92	10	state	state	NOUN
cord-248050-apjwnwky	92	11	without	without	ADP
cord-248050-apjwnwky	92	12	infected	infected	ADJ
cord-248050-apjwnwky	92	13	persons	person	NOUN
cord-248050-apjwnwky	92	14	,	,	PUNCT
cord-248050-apjwnwky	92	15	and	and	CCONJ
cord-248050-apjwnwky	92	16	can	can	AUX
cord-248050-apjwnwky	92	17	thus	thus	ADV
cord-248050-apjwnwky	92	18	not	not	PART
cord-248050-apjwnwky	92	19	prevent	prevent	VERB
cord-248050-apjwnwky	92	20	the	the	DET
cord-248050-apjwnwky	92	21	outbreak	outbreak	NOUN
cord-248050-apjwnwky	92	22	of	of	ADP
cord-248050-apjwnwky	92	23	a	a	DET
cord-248050-apjwnwky	92	24	disease	disease	NOUN
cord-248050-apjwnwky	92	25	.	.	PUNCT
cord-248050-apjwnwky	93	1	as	as	SCONJ
cord-248050-apjwnwky	93	2	reported	report	VERB
cord-248050-apjwnwky	93	3	in	in	ADP
cord-248050-apjwnwky	93	4	the	the	DET
cord-248050-apjwnwky	93	5	literature	literature	NOUN
cord-248050-apjwnwky	94	1	[	[	PUNCT
cord-248050-apjwnwky	94	2	35	35	NUM
cord-248050-apjwnwky	94	3	]	]	PUNCT
cord-248050-apjwnwky	94	4	,	,	PUNCT
cord-248050-apjwnwky	94	5	the	the	DET
cord-248050-apjwnwky	94	6	marginal	marginal	ADJ
cord-248050-apjwnwky	94	7	stability	stability	NOUN
cord-248050-apjwnwky	94	8	hypothesis	hypothesis	NOUN
cord-248050-apjwnwky	95	1	[	[	X
cord-248050-apjwnwky	95	2	90	90	NUM
cord-248050-apjwnwky	95	3	]	]	PUNCT
cord-248050-apjwnwky	95	4	[	[	X
cord-248050-apjwnwky	95	5	91	91	NUM
cord-248050-apjwnwky	95	6	]	]	PUNCT
cord-248050-apjwnwky	95	7	[	[	X
cord-248050-apjwnwky	95	8	92	92	NUM
cord-248050-apjwnwky	95	9	]	]	PUNCT
cord-248050-apjwnwky	95	10	[	[	X
cord-248050-apjwnwky	95	11	93	93	NUM
cord-248050-apjwnwky	95	12	]	]	PUNCT
cord-248050-apjwnwky	95	13	[	[	X
cord-248050-apjwnwky	95	14	94	94	NUM
cord-248050-apjwnwky	95	15	]	]	PUNCT
cord-248050-apjwnwky	95	16	gives	give	NOUN
cord-248050-apjwnwky	95	17	,	,	PUNCT
cord-248050-apjwnwky	95	18	based	base	VERB
cord-248050-apjwnwky	95	19	on	on	ADP
cord-248050-apjwnwky	95	20	this	this	DET
cord-248050-apjwnwky	95	21	dispersion	dispersion	NOUN
cord-248050-apjwnwky	95	22	,	,	PUNCT
cord-248050-apjwnwky	95	23	a	a	DET
cord-248050-apjwnwky	95	24	front	front	ADJ
cord-248050-apjwnwky	95	25	propagation	propagation	NOUN
cord-248050-apjwnwky	95	26	speed	speed	NOUN
cord-248050-apjwnwky	95	27	of	of	ADP
cord-248050-apjwnwky	95	28	v	v	NOUN
cord-248050-apjwnwky	95	29	=	=	NOUN
cord-248050-apjwnwky	95	30	2	2	NUM
cord-248050-apjwnwky	95	31	d	d	X
cord-248050-apjwnwky	95	32	i	i	PRON
cord-248050-apjwnwky	95	33	(	(	PUNCT
cord-248050-apjwnwky	95	34	cs	cs	NOUN
cord-248050-apjwnwky	95	35	0	0	NUM
cord-248050-apjwnwky	95	36	−	−	PROPN
cord-248050-apjwnwky	95	37	w	w	PROPN
cord-248050-apjwnwky	95	38	)	)	PUNCT
cord-248050-apjwnwky	95	39	.	.	PUNCT
cord-248050-apjwnwky	96	1	however	however	ADV
cord-248050-apjwnwky	96	2	,	,	PUNCT
cord-248050-apjwnwky	96	3	there	there	PRON
cord-248050-apjwnwky	96	4	are	be	VERB
cord-248050-apjwnwky	96	5	two	two	NUM
cord-248050-apjwnwky	96	6	additional	additional	ADJ
cord-248050-apjwnwky	96	7	eigenvalues	eigenvalue	NOUN
cord-248050-apjwnwky	96	8	λ	λ	PROPN
cord-248050-apjwnwky	96	9	2/3	2/3	NUM
cord-248050-apjwnwky	96	10	=	=	PROPN
cord-248050-apjwnwky	96	11	(	(	PUNCT
cord-248050-apjwnwky	96	12	−d	−d	PROPN
cord-248050-apjwnwky	96	13	j	j	PROPN
cord-248050-apjwnwky	96	14	+	+	SYM
cord-248050-apjwnwky	96	15	j	j	NOUN
cord-248050-apjwnwky	96	16	0	0	PUNCT
cord-248050-apjwnwky	97	1	γ	γ	X
cord-248050-apjwnwky	97	2	j	j	PROPN
cord-248050-apjwnwky	97	3	u	u	PROPN
cord-248050-apjwnwky	97	4	sdĥd	sdĥd	PROPN
cord-248050-apjwnwky	97	5	(	(	PUNCT
cord-248050-apjwnwky	97	6	k))k	k))k	PROPN
cord-248050-apjwnwky	97	7	2	2	PROPN
cord-248050-apjwnwky	97	8	with	with	ADP
cord-248050-apjwnwky	97	9	j	j	PROPN
cord-248050-apjwnwky	97	10	=	=	X
cord-248050-apjwnwky	97	11	s	s	PROPN
cord-248050-apjwnwky	97	12	,	,	PUNCT
cord-248050-apjwnwky	97	13	r	r	NOUN
cord-248050-apjwnwky	97	14	and	and	CCONJ
cord-248050-apjwnwky	97	15	the	the	DET
cord-248050-apjwnwky	97	16	fourier	fourier	NOUN
cord-248050-apjwnwky	97	17	transformed	transform	VERB
cord-248050-apjwnwky	97	18	social	social	ADJ
cord-248050-apjwnwky	97	19	distancing	distancing	NOUN
cord-248050-apjwnwky	97	20	potential	potential	NOUN
cord-248050-apjwnwky	97	21	u	u	PROPN
cord-248050-apjwnwky	97	22	sdĥd	sdĥd	PROPN
cord-248050-apjwnwky	97	23	(	(	PUNCT
cord-248050-apjwnwky	97	24	k	k	PROPN
cord-248050-apjwnwky	97	25	)	)	PUNCT
cord-248050-apjwnwky	97	26	associated	associate	VERB
cord-248050-apjwnwky	97	27	with	with	ADP
cord-248050-apjwnwky	97	28	instabilities	instability	NOUN
cord-248050-apjwnwky	97	29	due	due	ADP
cord-248050-apjwnwky	97	30	to	to	ADP
cord-248050-apjwnwky	97	31	interactions	interaction	NOUN
cord-248050-apjwnwky	97	32	.	.	PUNCT
cord-248050-apjwnwky	98	1	front	front	ADJ
cord-248050-apjwnwky	98	2	speeds	speed	NOUN
cord-248050-apjwnwky	98	3	for	for	ADP
cord-248050-apjwnwky	98	4	dispersions	dispersion	NOUN
cord-248050-apjwnwky	98	5	of	of	ADP
cord-248050-apjwnwky	98	6	this	this	DET
cord-248050-apjwnwky	98	7	form	form	NOUN
cord-248050-apjwnwky	98	8	have	have	AUX
cord-248050-apjwnwky	98	9	been	be	AUX
cord-248050-apjwnwky	98	10	calculated	calculate	VERB
cord-248050-apjwnwky	98	11	by	by	ADP
cord-248050-apjwnwky	98	12	archer	archer	PROPN
cord-248050-apjwnwky	98	13	et	et	PROPN
cord-248050-apjwnwky	98	14	al	al	PROPN
cord-248050-apjwnwky	98	15	.	.	PUNCT
cord-248050-apjwnwky	99	1	[	[	X
cord-248050-apjwnwky	99	2	92	92	NUM
cord-248050-apjwnwky	99	3	]	]	PUNCT
cord-248050-apjwnwky	99	4	.	.	PUNCT
cord-248050-apjwnwky	100	1	if	if	SCONJ
cord-248050-apjwnwky	100	2	both	both	PRON
cord-248050-apjwnwky	100	3	epidemic	epidemic	NOUN
cord-248050-apjwnwky	100	4	and	and	CCONJ
cord-248050-apjwnwky	100	5	interaction	interaction	NOUN
cord-248050-apjwnwky	100	6	modes	mode	NOUN
cord-248050-apjwnwky	100	7	are	be	AUX
cord-248050-apjwnwky	100	8	unstable	unstable	ADJ
cord-248050-apjwnwky	100	9	,	,	PUNCT
cord-248050-apjwnwky	100	10	the	the	DET
cord-248050-apjwnwky	100	11	fronts	front	NOUN
cord-248050-apjwnwky	100	12	might	might	AUX
cord-248050-apjwnwky	100	13	interfere	interfere	VERB
cord-248050-apjwnwky	100	14	,	,	PUNCT
cord-248050-apjwnwky	100	15	leading	lead	VERB
cord-248050-apjwnwky	100	16	to	to	ADP
cord-248050-apjwnwky	100	17	interesting	interesting	ADJ
cord-248050-apjwnwky	100	18	results	result	NOUN
cord-248050-apjwnwky	100	19	depending	depend	VERB
cord-248050-apjwnwky	100	20	on	on	ADP
cord-248050-apjwnwky	100	21	their	their	PRON
cord-248050-apjwnwky	100	22	different	different	ADJ
cord-248050-apjwnwky	100	23	speeds	speed	NOUN
cord-248050-apjwnwky	100	24	.	.	PUNCT
cord-248050-apjwnwky	101	1	for	for	ADP
cord-248050-apjwnwky	101	2	a	a	DET
cord-248050-apjwnwky	101	3	further	further	ADJ
cord-248050-apjwnwky	101	4	analysis	analysis	NOUN
cord-248050-apjwnwky	101	5	,	,	PUNCT
cord-248050-apjwnwky	101	6	we	we	PRON
cord-248050-apjwnwky	101	7	solved	solve	VERB
cord-248050-apjwnwky	101	8	eqs	eqs	PROPN
cord-248050-apjwnwky	101	9	.	.	PUNCT
cord-248050-apjwnwky	102	1	(	(	PUNCT
cord-248050-apjwnwky	102	2	9)-(11	9)-(11	NUM
cord-248050-apjwnwky	102	3	)	)	PUNCT
cord-248050-apjwnwky	102	4	numerically	numerically	ADV
cord-248050-apjwnwky	102	5	.	.	PUNCT
cord-248050-apjwnwky	103	1	we	we	PRON
cord-248050-apjwnwky	103	2	assume	assume	VERB
cord-248050-apjwnwky	103	3	x	x	PROPN
cord-248050-apjwnwky	103	4	and	and	CCONJ
cord-248050-apjwnwky	103	5	t	t	PROPN
cord-248050-apjwnwky	103	6	to	to	PART
cord-248050-apjwnwky	103	7	be	be	AUX
cord-248050-apjwnwky	103	8	dimensionless	dimensionless	NOUN
cord-248050-apjwnwky	103	9	,	,	PUNCT
cord-248050-apjwnwky	103	10	such	such	ADJ
cord-248050-apjwnwky	103	11	that	that	SCONJ
cord-248050-apjwnwky	103	12	all	all	DET
cord-248050-apjwnwky	103	13	model	model	NOUN
cord-248050-apjwnwky	103	14	parameters	parameter	NOUN
cord-248050-apjwnwky	103	15	can	can	AUX
cord-248050-apjwnwky	103	16	be	be	AUX
cord-248050-apjwnwky	103	17	dimensionless	dimensionless	NOUN
cord-248050-apjwnwky	103	18	too	too	ADV
cord-248050-apjwnwky	103	19	.	.	PUNCT
cord-248050-apjwnwky	104	1	the	the	DET
cord-248050-apjwnwky	104	2	calculation	calculation	NOUN
cord-248050-apjwnwky	104	3	was	be	AUX
cord-248050-apjwnwky	104	4	done	do	VERB
cord-248050-apjwnwky	104	5	in	in	ADP
cord-248050-apjwnwky	104	6	one	one	NUM
cord-248050-apjwnwky	104	7	spatial	spatial	ADJ
cord-248050-apjwnwky	104	8	dimension	dimension	NOUN
cord-248050-apjwnwky	104	9	on	on	ADP
cord-248050-apjwnwky	104	10	the	the	DET
cord-248050-apjwnwky	104	11	domain	domain	NOUN
cord-248050-apjwnwky	104	12	x	x	PUNCT
cord-248050-apjwnwky	104	13	∈	∈	PROPN
cord-248050-apjwnwky	104	14	[	[	X
cord-248050-apjwnwky	104	15	0	0	NUM
cord-248050-apjwnwky	104	16	,	,	PUNCT
cord-248050-apjwnwky	104	17	1	1	NUM
cord-248050-apjwnwky	104	18	]	]	PUNCT
cord-248050-apjwnwky	104	19	with	with	ADP
cord-248050-apjwnwky	104	20	periodic	periodic	ADJ
cord-248050-apjwnwky	104	21	boundary	boundary	ADJ
cord-248050-apjwnwky	104	22	conditions	condition	NOUN
cord-248050-apjwnwky	104	23	,	,	PUNCT
cord-248050-apjwnwky	104	24	using	use	VERB
cord-248050-apjwnwky	104	25	an	an	DET
cord-248050-apjwnwky	104	26	explicit	explicit	ADJ
cord-248050-apjwnwky	104	27	finite	finite	ADJ
cord-248050-apjwnwky	104	28	-	-	PUNCT
cord-248050-apjwnwky	104	29	difference	difference	NOUN
cord-248050-apjwnwky	104	30	scheme	scheme	NOUN
cord-248050-apjwnwky	104	31	with	with	ADP
cord-248050-apjwnwky	104	32	step	step	NOUN
cord-248050-apjwnwky	104	33	size	size	NOUN
cord-248050-apjwnwky	104	34	dx	dx	PROPN
cord-248050-apjwnwky	104	35	=	=	PROPN
cord-248050-apjwnwky	104	36	0.005	0.005	NUM
cord-248050-apjwnwky	104	37	(	(	PUNCT
cord-248050-apjwnwky	104	38	individual	individual	ADJ
cord-248050-apjwnwky	104	39	simulations	simulation	NOUN
cord-248050-apjwnwky	104	40	)	)	PUNCT
cord-248050-apjwnwky	104	41	or	or	CCONJ
cord-248050-apjwnwky	104	42	dx	dx	PROPN
cord-248050-apjwnwky	104	43	=	=	X
cord-248050-apjwnwky	104	44	0.01	0.01	NUM
cord-248050-apjwnwky	104	45	(	(	PUNCT
cord-248050-apjwnwky	104	46	parameter	parameter	PROPN
cord-248050-apjwnwky	104	47	scan	scan	PROPN
cord-248050-apjwnwky	104	48	)	)	PUNCT
cord-248050-apjwnwky	104	49	and	and	CCONJ
cord-248050-apjwnwky	104	50	adaptive	adaptive	ADJ
cord-248050-apjwnwky	104	51	time	time	NOUN
cord-248050-apjwnwky	104	52	steps	step	NOUN
cord-248050-apjwnwky	104	53	.	.	PUNCT
cord-248050-apjwnwky	105	1	as	as	ADP
cord-248050-apjwnwky	105	2	an	an	DET
cord-248050-apjwnwky	105	3	initial	initial	ADJ
cord-248050-apjwnwky	105	4	condition	condition	NOUN
cord-248050-apjwnwky	105	5	,	,	PUNCT
cord-248050-apjwnwky	105	6	we	we	PRON
cord-248050-apjwnwky	105	7	use	use	VERB
cord-248050-apjwnwky	105	8	a	a	DET
cord-248050-apjwnwky	105	9	gaussian	gaussian	ADJ
cord-248050-apjwnwky	105	10	peak	peak	NOUN
cord-248050-apjwnwky	105	11	with	with	ADP
cord-248050-apjwnwky	105	12	amplitude	amplitude	NOUN
cord-248050-apjwnwky	105	13	1	1	NUM
cord-248050-apjwnwky	105	14	and	and	CCONJ
cord-248050-apjwnwky	105	15	variance	variance	NOUN
cord-248050-apjwnwky	105	16	50	50	NUM
cord-248050-apjwnwky	105	17	−2	−2	NOUN
cord-248050-apjwnwky	105	18	centered	center	VERB
cord-248050-apjwnwky	105	19	at	at	ADP
cord-248050-apjwnwky	105	20	x	x	SYM
cord-248050-apjwnwky	105	21	=	=	NOUN
cord-248050-apjwnwky	105	22	0.5	0.5	NUM
cord-248050-apjwnwky	105	23	for	for	ADP
cord-248050-apjwnwky	105	24	s(x	s(x	PROPN
cord-248050-apjwnwky	105	25	,	,	PUNCT
cord-248050-apjwnwky	105	26	0	0	NUM
cord-248050-apjwnwky	105	27	)	)	PUNCT
cord-248050-apjwnwky	105	28	,	,	PUNCT
cord-248050-apjwnwky	105	29	i(x	i(x	PROPN
cord-248050-apjwnwky	105	30	,	,	PUNCT
cord-248050-apjwnwky	105	31	0	0	NUM
cord-248050-apjwnwky	105	32	)	)	PUNCT
cord-248050-apjwnwky	105	33	=	=	NOUN
cord-248050-apjwnwky	105	34	0.001s(x	0.001s(x	NUM
cord-248050-apjwnwky	105	35	,	,	PUNCT
cord-248050-apjwnwky	105	36	0	0	NUM
cord-248050-apjwnwky	105	37	)	)	PUNCT
cord-248050-apjwnwky	105	38	,	,	PUNCT
cord-248050-apjwnwky	105	39	and	and	CCONJ
cord-248050-apjwnwky	105	40	r(x	r(x	NOUN
cord-248050-apjwnwky	105	41	,	,	PUNCT
cord-248050-apjwnwky	105	42	0	0	NUM
cord-248050-apjwnwky	105	43	)	)	PUNCT
cord-248050-apjwnwky	105	44	=	=	NOUN
cord-248050-apjwnwky	105	45	0	0	X
cord-248050-apjwnwky	105	46	.	.	PUNCT
cord-248050-apjwnwky	106	1	since	since	SCONJ
cord-248050-apjwnwky	106	2	the	the	DET
cord-248050-apjwnwky	106	3	effect	effect	NOUN
cord-248050-apjwnwky	106	4	of	of	ADP
cord-248050-apjwnwky	106	5	the	the	DET
cord-248050-apjwnwky	106	6	parameters	parameter	NOUN
cord-248050-apjwnwky	106	7	c	c	PROPN
cord-248050-apjwnwky	106	8	and	and	CCONJ
cord-248050-apjwnwky	106	9	w	w	X
cord-248050-apjwnwky	106	10	on	on	ADP
cord-248050-apjwnwky	106	11	the	the	DET
cord-248050-apjwnwky	106	12	dynamics	dynamic	NOUN
cord-248050-apjwnwky	106	13	is	be	AUX
cord-248050-apjwnwky	106	14	known	know	VERB
cord-248050-apjwnwky	106	15	from	from	ADP
cord-248050-apjwnwky	106	16	previous	previous	ADJ
cord-248050-apjwnwky	106	17	studies	study	NOUN
cord-248050-apjwnwky	106	18	of	of	ADP
cord-248050-apjwnwky	106	19	the	the	DET
cord-248050-apjwnwky	106	20	sir	sir	PROPN
cord-248050-apjwnwky	106	21	model	model	NOUN
cord-248050-apjwnwky	106	22	,	,	PUNCT
cord-248050-apjwnwky	106	23	we	we	PRON
cord-248050-apjwnwky	106	24	fix	fix	VERB
cord-248050-apjwnwky	106	25	their	their	PRON
cord-248050-apjwnwky	106	26	values	value	NOUN
cord-248050-apjwnwky	106	27	to	to	ADP
cord-248050-apjwnwky	106	28	c	c	PROPN
cord-248050-apjwnwky	106	29	=	=	SYM
cord-248050-apjwnwky	106	30	1	1	NUM
cord-248050-apjwnwky	106	31	and	and	CCONJ
cord-248050-apjwnwky	106	32	w	w	PROPN
cord-248050-apjwnwky	106	33	=	=	SYM
cord-248050-apjwnwky	106	34	0.1	0.1	NUM
cord-248050-apjwnwky	106	35	to	to	PART
cord-248050-apjwnwky	106	36	allow	allow	VERB
cord-248050-apjwnwky	106	37	for	for	ADP
cord-248050-apjwnwky	106	38	an	an	DET
cord-248050-apjwnwky	106	39	outbreak	outbreak	NOUN
cord-248050-apjwnwky	106	40	.	.	PUNCT
cord-248050-apjwnwky	107	1	moreover	moreover	ADV
cord-248050-apjwnwky	107	2	,	,	PUNCT
cord-248050-apjwnwky	107	3	we	we	PRON
cord-248050-apjwnwky	107	4	set	set	VERB
cord-248050-apjwnwky	107	5	γ	γ	X
cord-248050-apjwnwky	107	6	s	s	PROPN
cord-248050-apjwnwky	107	7	=	=	PRON
cord-248050-apjwnwky	107	8	γ	γ	NOUN
cord-248050-apjwnwky	108	1	i	i	PRON
cord-248050-apjwnwky	108	2	=	=	SYM
cord-248050-apjwnwky	108	3	γ	γ	X
cord-248050-apjwnwky	108	4	r	r	NOUN
cord-248050-apjwnwky	108	5	=	=	SYM
cord-248050-apjwnwky	108	6	1	1	NUM
cord-248050-apjwnwky	108	7	,	,	PUNCT
cord-248050-apjwnwky	108	8	d	d	X
cord-248050-apjwnwky	108	9	s	s	PROPN
cord-248050-apjwnwky	108	10	=	=	SYM
cord-248050-apjwnwky	108	11	d	d	PROPN
cord-248050-apjwnwky	108	12	i	i	PROPN
cord-248050-apjwnwky	108	13	=	=	PUNCT
cord-248050-apjwnwky	108	14	d	d	X
cord-248050-apjwnwky	108	15	r	r	NOUN
cord-248050-apjwnwky	108	16	=	=	X
cord-248050-apjwnwky	108	17	0.01	0.01	NUM
cord-248050-apjwnwky	108	18	,	,	PUNCT
cord-248050-apjwnwky	108	19	and	and	CCONJ
cord-248050-apjwnwky	108	20	σ	σ	PROPN
cord-248050-apjwnwky	108	21	sd	sd	PROPN
cord-248050-apjwnwky	108	22	=	=	SYM
cord-248050-apjwnwky	108	23	σ	σ	X
cord-248050-apjwnwky	108	24	si	si	X
cord-248050-apjwnwky	108	25	=	=	SYM
cord-248050-apjwnwky	108	26	100	100	NUM
cord-248050-apjwnwky	108	27	.	.	PUNCT
cord-248050-apjwnwky	109	1	the	the	DET
cord-248050-apjwnwky	109	2	relevant	relevant	ADJ
cord-248050-apjwnwky	109	3	control	control	NOUN
cord-248050-apjwnwky	109	4	parameters	parameter	NOUN
cord-248050-apjwnwky	109	5	are	be	AUX
cord-248050-apjwnwky	109	6	c	c	PROPN
cord-248050-apjwnwky	109	7	sd	sd	NOUN
cord-248050-apjwnwky	109	8	and	and	CCONJ
cord-248050-apjwnwky	109	9	c	c	PROPN
cord-248050-apjwnwky	109	10	si	si	PROPN
cord-248050-apjwnwky	109	11	,	,	PUNCT
cord-248050-apjwnwky	109	12	which	which	PRON
cord-248050-apjwnwky	109	13	control	control	VERB
cord-248050-apjwnwky	109	14	the	the	DET
cord-248050-apjwnwky	109	15	effects	effect	NOUN
cord-248050-apjwnwky	109	16	of	of	ADP
cord-248050-apjwnwky	109	17	social	social	ADJ
cord-248050-apjwnwky	109	18	interactions	interaction	NOUN
cord-248050-apjwnwky	109	19	that	that	PRON
cord-248050-apjwnwky	109	20	are	be	AUX
cord-248050-apjwnwky	109	21	the	the	DET
cord-248050-apjwnwky	109	22	new	new	ADJ
cord-248050-apjwnwky	109	23	aspect	aspect	NOUN
cord-248050-apjwnwky	109	24	of	of	ADP
cord-248050-apjwnwky	109	25	our	our	PRON
cord-248050-apjwnwky	109	26	model	model	NOUN
cord-248050-apjwnwky	109	27	.	.	PUNCT
cord-248050-apjwnwky	110	1	we	we	PRON
cord-248050-apjwnwky	110	2	assume	assume	VERB
cord-248050-apjwnwky	110	3	these	these	DET
cord-248050-apjwnwky	110	4	parameters	parameter	NOUN
cord-248050-apjwnwky	110	5	to	to	PART
cord-248050-apjwnwky	110	6	be	be	AUX
cord-248050-apjwnwky	110	7	≤	≤	NOUN
cord-248050-apjwnwky	110	8	0	0	NUM
cord-248050-apjwnwky	110	9	,	,	PUNCT
cord-248050-apjwnwky	110	10	which	which	PRON
cord-248050-apjwnwky	110	11	corresponds	correspond	VERB
cord-248050-apjwnwky	110	12	to	to	ADP
cord-248050-apjwnwky	110	13	repulsive	repulsive	ADJ
cord-248050-apjwnwky	110	14	interactions	interaction	NOUN
cord-248050-apjwnwky	110	15	.	.	PUNCT
cord-248050-apjwnwky	111	1	measures	measure	NOUN
cord-248050-apjwnwky	111	2	implemented	implement	VERB
cord-248050-apjwnwky	111	3	against	against	ADP
cord-248050-apjwnwky	111	4	a	a	DET
cord-248050-apjwnwky	111	5	pandemic	pandemic	NOUN
cord-248050-apjwnwky	111	6	will	will	AUX
cord-248050-apjwnwky	111	7	typically	typically	ADV
cord-248050-apjwnwky	111	8	have	have	VERB
cord-248050-apjwnwky	111	9	two	two	NUM
cord-248050-apjwnwky	111	10	aims	aim	NOUN
cord-248050-apjwnwky	111	11	:	:	PUNCT
cord-248050-apjwnwky	111	12	reduction	reduction	NOUN
cord-248050-apjwnwky	111	13	of	of	ADP
cord-248050-apjwnwky	111	14	the	the	DET
cord-248050-apjwnwky	111	15	total	total	ADJ
cord-248050-apjwnwky	111	16	number	number	NOUN
cord-248050-apjwnwky	111	17	of	of	ADP
cord-248050-apjwnwky	111	18	infected	infected	ADJ
cord-248050-apjwnwky	111	19	persons	person	NOUN
cord-248050-apjwnwky	111	20	,	,	PUNCT
cord-248050-apjwnwky	111	21	i.e.	i.e.	X
cord-248050-apjwnwky	111	22	,	,	PUNCT
cord-248050-apjwnwky	111	23	making	make	VERB
cord-248050-apjwnwky	111	24	sure	sure	ADJ
cord-248050-apjwnwky	111	25	that	that	SCONJ
cord-248050-apjwnwky	111	26	the	the	DET
cord-248050-apjwnwky	111	27	final	final	ADJ
cord-248050-apjwnwky	111	28	number	number	NOUN
cord-248050-apjwnwky	111	29	of	of	ADP
cord-248050-apjwnwky	111	30	noninfected	noninfected	ADJ
cord-248050-apjwnwky	111	31	persons	person	NOUN
cord-248050-apjwnwky	111	32	s	s	PART
cord-248050-apjwnwky	111	33	∞	∞	PROPN
cord-248050-apjwnwky	111	34	=	=	SYM
cord-248050-apjwnwky	111	35	lim	lim	NOUN
cord-248050-apjwnwky	111	36	t→∞	t→∞	NUM
cord-248050-apjwnwky	111	37	s(t	s(t	PROPN
cord-248050-apjwnwky	111	38	)	)	PUNCT
cord-248050-apjwnwky	111	39	is	be	AUX
cord-248050-apjwnwky	111	40	large	large	ADJ
cord-248050-apjwnwky	111	41	,	,	PUNCT
cord-248050-apjwnwky	111	42	and	and	CCONJ
cord-248050-apjwnwky	111	43	reduction	reduction	NOUN
cord-248050-apjwnwky	111	44	of	of	ADP
cord-248050-apjwnwky	111	45	the	the	DET
cord-248050-apjwnwky	111	46	maximum	maximum	ADJ
cord-248050-apjwnwky	111	47	number	number	NOUN
cord-248050-apjwnwky	111	48	of	of	ADP
cord-248050-apjwnwky	111	49	infected	infect	VERB
cord-248050-apjwnwky	111	50	persons	person	NOUN
cord-248050-apjwnwky	111	51	i	i	PRON
cord-248050-apjwnwky	111	52	max	max	VERB
cord-248050-apjwnwky	111	53	for	for	ADP
cord-248050-apjwnwky	111	54	keeping	keep	VERB
cord-248050-apjwnwky	111	55	the	the	DET
cord-248050-apjwnwky	111	56	spread	spread	NOUN
cord-248050-apjwnwky	111	57	within	within	ADP
cord-248050-apjwnwky	111	58	the	the	DET
cord-248050-apjwnwky	111	59	capacities	capacity	NOUN
cord-248050-apjwnwky	111	60	of	of	ADP
cord-248050-apjwnwky	111	61	the	the	DET
cord-248050-apjwnwky	111	62	healthcare	healthcare	NOUN
cord-248050-apjwnwky	111	63	system	system	NOUN
cord-248050-apjwnwky	111	64	.	.	PUNCT
cord-248050-apjwnwky	112	1	using	use	VERB
cord-248050-apjwnwky	112	2	parameter	parameter	NOUN
cord-248050-apjwnwky	112	3	scans	scan	NOUN
cord-248050-apjwnwky	112	4	,	,	PUNCT
cord-248050-apjwnwky	112	5	we	we	PRON
cord-248050-apjwnwky	112	6	can	can	AUX
cord-248050-apjwnwky	112	7	test	test	VERB
cord-248050-apjwnwky	112	8	whether	whether	SCONJ
cord-248050-apjwnwky	112	9	social	social	ADJ
cord-248050-apjwnwky	112	10	distancing	distancing	NOUN
cord-248050-apjwnwky	112	11	and	and	CCONJ
cord-248050-apjwnwky	112	12	self	self	NOUN
cord-248050-apjwnwky	112	13	-	-	PUNCT
cord-248050-apjwnwky	112	14	isolation	isolation	NOUN
cord-248050-apjwnwky	112	15	can	can	AUX
cord-248050-apjwnwky	112	16	achieve	achieve	VERB
cord-248050-apjwnwky	112	17	those	those	DET
cord-248050-apjwnwky	112	18	effects	effect	NOUN
cord-248050-apjwnwky	112	19	.	.	PUNCT
cord-248050-apjwnwky	113	1	as	as	SCONJ
cord-248050-apjwnwky	113	2	can	can	AUX
cord-248050-apjwnwky	113	3	be	be	AUX
cord-248050-apjwnwky	113	4	seen	see	VERB
cord-248050-apjwnwky	113	5	from	from	ADP
cord-248050-apjwnwky	113	6	the	the	DET
cord-248050-apjwnwky	113	7	phase	phase	NOUN
cord-248050-apjwnwky	113	8	diagrams	diagram	NOUN
cord-248050-apjwnwky	113	9	for	for	ADP
cord-248050-apjwnwky	113	10	the	the	DET
cord-248050-apjwnwky	113	11	sir	sir	PROPN
cord-248050-apjwnwky	113	12	-	-	PUNCT
cord-248050-apjwnwky	113	13	ddft	ddft	PROPN
cord-248050-apjwnwky	113	14	model	model	PROPN
cord-248050-apjwnwky	113	15	shown	show	VERB
cord-248050-apjwnwky	113	16	in	in	ADP
cord-248050-apjwnwky	113	17	fig	fig	PROPN
cord-248050-apjwnwky	113	18	.	.	PUNCT
cord-248050-apjwnwky	114	1	1	1	NUM
cord-248050-apjwnwky	114	2	,	,	PUNCT
cord-248050-apjwnwky	114	3	there	there	PRON
cord-248050-apjwnwky	114	4	is	be	VERB
cord-248050-apjwnwky	114	5	a	a	DET
cord-248050-apjwnwky	114	6	clear	clear	ADJ
cord-248050-apjwnwky	114	7	phase	phase	NOUN
cord-248050-apjwnwky	114	8	boundary	boundary	NOUN
cord-248050-apjwnwky	114	9	between	between	ADP
cord-248050-apjwnwky	114	10	the	the	DET
cord-248050-apjwnwky	114	11	upper	upper	ADJ
cord-248050-apjwnwky	114	12	left	left	ADJ
cord-248050-apjwnwky	114	13	corner	corner	NOUN
cord-248050-apjwnwky	114	14	,	,	PUNCT
cord-248050-apjwnwky	114	15	where	where	SCONJ
cord-248050-apjwnwky	114	16	low	low	ADJ
cord-248050-apjwnwky	114	17	values	value	NOUN
cord-248050-apjwnwky	114	18	of	of	ADP
cord-248050-apjwnwky	114	19	i	i	PRON
cord-248050-apjwnwky	114	20	max	max	ADJ
cord-248050-apjwnwky	114	21	and	and	CCONJ
cord-248050-apjwnwky	114	22	high	high	ADJ
cord-248050-apjwnwky	114	23	values	value	NOUN
cord-248050-apjwnwky	114	24	of	of	ADP
cord-248050-apjwnwky	114	25	s	s	PROPN
cord-248050-apjwnwky	114	26	∞	∞	PROPN
cord-248050-apjwnwky	114	27	show	show	NOUN
cord-248050-apjwnwky	114	28	that	that	SCONJ
cord-248050-apjwnwky	114	29	the	the	DET
cord-248050-apjwnwky	114	30	spread	spread	NOUN
cord-248050-apjwnwky	114	31	of	of	ADP
cord-248050-apjwnwky	114	32	the	the	DET
cord-248050-apjwnwky	114	33	disease	disease	NOUN
cord-248050-apjwnwky	114	34	has	have	AUX
cord-248050-apjwnwky	114	35	been	be	AUX
cord-248050-apjwnwky	114	36	significantly	significantly	ADV
cord-248050-apjwnwky	114	37	reduced	reduce	VERB
cord-248050-apjwnwky	114	38	,	,	PUNCT
cord-248050-apjwnwky	114	39	and	and	CCONJ
cord-248050-apjwnwky	114	40	the	the	DET
cord-248050-apjwnwky	114	41	rest	rest	NOUN
cord-248050-apjwnwky	114	42	of	of	ADP
cord-248050-apjwnwky	114	43	the	the	DET
cord-248050-apjwnwky	114	44	phase	phase	NOUN
cord-248050-apjwnwky	114	45	diagram	diagram	PROPN
cord-248050-apjwnwky	114	46	,	,	PUNCT
cord-248050-apjwnwky	114	47	where	where	SCONJ
cord-248050-apjwnwky	114	48	the	the	DET
cord-248050-apjwnwky	114	49	disease	disease	NOUN
cord-248050-apjwnwky	114	50	spreads	spread	VERB
cord-248050-apjwnwky	114	51	in	in	ADP
cord-248050-apjwnwky	114	52	essentially	essentially	ADV
cord-248050-apjwnwky	114	53	the	the	DET
cord-248050-apjwnwky	114	54	same	same	ADJ
cord-248050-apjwnwky	114	55	way	way	NOUN
cord-248050-apjwnwky	114	56	as	as	ADP
cord-248050-apjwnwky	114	57	in	in	ADP
cord-248050-apjwnwky	114	58	the	the	DET
cord-248050-apjwnwky	114	59	model	model	NOUN
cord-248050-apjwnwky	114	60	without	without	ADP
cord-248050-apjwnwky	114	61	social	social	ADJ
cord-248050-apjwnwky	114	62	distancing	distancing	NOUN
cord-248050-apjwnwky	114	63	.	.	PUNCT
cord-248050-apjwnwky	115	1	since	since	SCONJ
cord-248050-apjwnwky	115	2	all	all	DET
cord-248050-apjwnwky	115	3	simulations	simulation	NOUN
cord-248050-apjwnwky	115	4	were	be	AUX
cord-248050-apjwnwky	115	5	performed	perform	VERB
cord-248050-apjwnwky	115	6	with	with	ADP
cord-248050-apjwnwky	115	7	parameters	parameter	NOUN
cord-248050-apjwnwky	115	8	of	of	ADP
cord-248050-apjwnwky	115	9	c	c	PROPN
cord-248050-apjwnwky	115	10	and	and	CCONJ
cord-248050-apjwnwky	115	11	w	w	PROPN
cord-248050-apjwnwky	115	12	that	that	PRON
cord-248050-apjwnwky	115	13	correspond	correspond	VERB
cord-248050-apjwnwky	115	14	to	to	ADP
cord-248050-apjwnwky	115	15	a	a	DET
cord-248050-apjwnwky	115	16	disease	disease	NOUN
cord-248050-apjwnwky	115	17	outbreak	outbreak	NOUN
cord-248050-apjwnwky	115	18	in	in	ADP
cord-248050-apjwnwky	115	19	the	the	DET
cord-248050-apjwnwky	115	20	usual	usual	ADJ
cord-248050-apjwnwky	115	21	sir	sir	NOUN
cord-248050-apjwnwky	115	22	model	model	NOUN
cord-248050-apjwnwky	115	23	,	,	PUNCT
cord-248050-apjwnwky	115	24	this	this	PRON
cord-248050-apjwnwky	115	25	shows	show	VERB
cord-248050-apjwnwky	115	26	that	that	SCONJ
cord-248050-apjwnwky	115	27	a	a	DET
cord-248050-apjwnwky	115	28	reduction	reduction	NOUN
cord-248050-apjwnwky	115	29	of	of	ADP
cord-248050-apjwnwky	115	30	social	social	ADJ
cord-248050-apjwnwky	115	31	interactions	interaction	NOUN
cord-248050-apjwnwky	115	32	can	can	AUX
cord-248050-apjwnwky	115	33	significantly	significantly	ADV
cord-248050-apjwnwky	115	34	inhibit	inhibit	VERB
cord-248050-apjwnwky	115	35	epidemic	epidemic	NOUN
cord-248050-apjwnwky	115	36	spreading	spread	VERB
cord-248050-apjwnwky	115	37	,	,	PUNCT
cord-248050-apjwnwky	115	38	and	and	CCONJ
cord-248050-apjwnwky	115	39	that	that	SCONJ
cord-248050-apjwnwky	115	40	the	the	DET
cord-248050-apjwnwky	115	41	sir	sir	PROPN
cord-248050-apjwnwky	115	42	-	-	PUNCT
cord-248050-apjwnwky	115	43	ddft	ddft	PROPN
cord-248050-apjwnwky	115	44	model	model	PROPN
cord-248050-apjwnwky	115	45	is	be	AUX
cord-248050-apjwnwky	115	46	capable	capable	ADJ
cord-248050-apjwnwky	115	47	of	of	ADP
cord-248050-apjwnwky	115	48	demonstrating	demonstrate	VERB
cord-248050-apjwnwky	115	49	these	these	DET
cord-248050-apjwnwky	115	50	effects	effect	NOUN
cord-248050-apjwnwky	115	51	.	.	PUNCT
cord-248050-apjwnwky	116	1	the	the	DET
cord-248050-apjwnwky	116	2	phase	phase	NOUN
cord-248050-apjwnwky	116	3	boundary	boundary	NOUN
cord-248050-apjwnwky	116	4	shows	show	VERB
cord-248050-apjwnwky	116	5	that	that	SCONJ
cord-248050-apjwnwky	116	6	,	,	PUNCT
cord-248050-apjwnwky	116	7	for	for	ADP
cord-248050-apjwnwky	116	8	a	a	DET
cord-248050-apjwnwky	116	9	reduction	reduction	NOUN
cord-248050-apjwnwky	116	10	of	of	ADP
cord-248050-apjwnwky	116	11	spreading	spread	VERB
cord-248050-apjwnwky	116	12	by	by	ADP
cord-248050-apjwnwky	116	13	social	social	ADJ
cord-248050-apjwnwky	116	14	measures	measure	NOUN
cord-248050-apjwnwky	116	15	,	,	PUNCT
cord-248050-apjwnwky	116	16	two	two	NUM
cord-248050-apjwnwky	116	17	conditions	condition	NOUN
cord-248050-apjwnwky	116	18	have	have	VERB
cord-248050-apjwnwky	116	19	to	to	PART
cord-248050-apjwnwky	116	20	be	be	AUX
cord-248050-apjwnwky	116	21	satisfied	satisfied	ADJ
cord-248050-apjwnwky	116	22	.	.	PUNCT
cord-248050-apjwnwky	117	1	first	first	ADV
cord-248050-apjwnwky	117	2	,	,	PUNCT
cord-248050-apjwnwky	117	3	|c	|c	PROPN
cord-248050-apjwnwky	117	4	si	si	PROPN
cord-248050-apjwnwky	117	5	|	|	PROPN
cord-248050-apjwnwky	117	6	has	have	VERB
cord-248050-apjwnwky	117	7	to	to	PART
cord-248050-apjwnwky	117	8	be	be	AUX
cord-248050-apjwnwky	117	9	sufficiently	sufficiently	ADV
cord-248050-apjwnwky	117	10	large	large	ADJ
cord-248050-apjwnwky	117	11	.	.	PUNCT
cord-248050-apjwnwky	118	1	second	second	ADJ
cord-248050-apjwnwky	118	2	,	,	PUNCT
cord-248050-apjwnwky	118	3	|c	|c	PROPN
cord-248050-apjwnwky	118	4	si	si	PROPN
cord-248050-apjwnwky	118	5	|	|	PROPN
cord-248050-apjwnwky	118	6	has	have	VERB
cord-248050-apjwnwky	118	7	to	to	PART
cord-248050-apjwnwky	118	8	be	be	AUX
cord-248050-apjwnwky	118	9	,	,	PUNCT
cord-248050-apjwnwky	118	10	by	by	ADP
cord-248050-apjwnwky	118	11	a	a	DET
cord-248050-apjwnwky	118	12	certain	certain	ADJ
cord-248050-apjwnwky	118	13	amount	amount	NOUN
cord-248050-apjwnwky	118	14	,	,	PUNCT
cord-248050-apjwnwky	118	15	larger	large	ADJ
cord-248050-apjwnwky	118	16	than	than	ADP
cord-248050-apjwnwky	118	17	|c	|c	ADJ
cord-248050-apjwnwky	118	18	sd	sd	NOUN
cord-248050-apjwnwky	118	19	|	|	PROPN
cord-248050-apjwnwky	118	20	.	.	PUNCT
cord-248050-apjwnwky	119	1	within	within	ADP
cord-248050-apjwnwky	119	2	our	our	PRON
cord-248050-apjwnwky	119	3	physical	physical	ADJ
cord-248050-apjwnwky	119	4	model	model	NOUN
cord-248050-apjwnwky	119	5	of	of	ADP
cord-248050-apjwnwky	119	6	repulsively	repulsively	ADV
cord-248050-apjwnwky	119	7	interacting	interact	VERB
cord-248050-apjwnwky	119	8	particles	particle	NOUN
cord-248050-apjwnwky	119	9	,	,	PUNCT
cord-248050-apjwnwky	119	10	this	this	PRON
cord-248050-apjwnwky	119	11	arises	arise	VERB
cord-248050-apjwnwky	119	12	from	from	ADP
cord-248050-apjwnwky	119	13	the	the	DET
cord-248050-apjwnwky	119	14	fact	fact	NOUN
cord-248050-apjwnwky	119	15	that	that	SCONJ
cord-248050-apjwnwky	119	16	if	if	SCONJ
cord-248050-apjwnwky	119	17	healthy	healthy	ADJ
cord-248050-apjwnwky	119	18	"	"	PUNCT
cord-248050-apjwnwky	119	19	particles	particle	NOUN
cord-248050-apjwnwky	119	20	"	"	PUNCT
cord-248050-apjwnwky	119	21	are	be	AUX
cord-248050-apjwnwky	119	22	repelled	repel	VERB
cord-248050-apjwnwky	119	23	more	more	ADV
cord-248050-apjwnwky	119	24	strongly	strongly	ADV
cord-248050-apjwnwky	119	25	by	by	ADP
cord-248050-apjwnwky	119	26	other	other	ADJ
cord-248050-apjwnwky	119	27	healthy	healthy	ADJ
cord-248050-apjwnwky	119	28	particles	particle	NOUN
cord-248050-apjwnwky	119	29	than	than	ADP
cord-248050-apjwnwky	119	30	by	by	ADP
cord-248050-apjwnwky	119	31	infected	infected	ADJ
cord-248050-apjwnwky	119	32	ones	one	NOUN
cord-248050-apjwnwky	119	33	,	,	PUNCT
cord-248050-apjwnwky	119	34	they	they	PRON
cord-248050-apjwnwky	119	35	will	will	AUX
cord-248050-apjwnwky	119	36	spend	spend	VERB
cord-248050-apjwnwky	119	37	more	more	ADJ
cord-248050-apjwnwky	119	38	time	time	NOUN
cord-248050-apjwnwky	119	39	near	near	ADP
cord-248050-apjwnwky	119	40	infected	infect	VERB
cord-248050-apjwnwky	119	41	particles	particle	NOUN
cord-248050-apjwnwky	119	42	and	and	CCONJ
cord-248050-apjwnwky	119	43	thus	thus	ADV
cord-248050-apjwnwky	119	44	are	be	AUX
cord-248050-apjwnwky	119	45	more	more	ADV
cord-248050-apjwnwky	119	46	likely	likely	ADJ
cord-248050-apjwnwky	119	47	to	to	PART
cord-248050-apjwnwky	119	48	be	be	AUX
cord-248050-apjwnwky	119	49	infected	infect	VERB
cord-248050-apjwnwky	119	50	themselves	themselves	PRON
cord-248050-apjwnwky	119	51	.	.	PUNCT
cord-248050-apjwnwky	120	1	physically	physically	ADV
cord-248050-apjwnwky	120	2	,	,	PUNCT
cord-248050-apjwnwky	120	3	|c	|c	PROPN
cord-248050-apjwnwky	120	4	si	si	PROPN
cord-248050-apjwnwky	120	5	|	|	PUNCT
cord-248050-apjwnwky	120	6	>	>	X
cord-248050-apjwnwky	121	1	|c	|c	PROPN
cord-248050-apjwnwky	121	2	sd	sd	PROPN
cord-248050-apjwnwky	121	3	|	|	NOUN
cord-248050-apjwnwky	121	4	is	be	AUX
cord-248050-apjwnwky	121	5	thus	thus	ADV
cord-248050-apjwnwky	121	6	a	a	DET
cord-248050-apjwnwky	121	7	very	very	ADV
cord-248050-apjwnwky	121	8	reasonable	reasonable	ADJ
cord-248050-apjwnwky	121	9	condition	condition	NOUN
cord-248050-apjwnwky	121	10	given	give	VERB
cord-248050-apjwnwky	121	11	that	that	SCONJ
cord-248050-apjwnwky	121	12	infected	infected	ADJ
cord-248050-apjwnwky	121	13	persons	person	NOUN
cord-248050-apjwnwky	121	14	,	,	PUNCT
cord-248050-apjwnwky	121	15	at	at	ADP
cord-248050-apjwnwky	121	16	least	least	ADJ
cord-248050-apjwnwky	121	17	once	once	ADV
cord-248050-apjwnwky	121	18	they	they	PRON
cord-248050-apjwnwky	121	19	develop	develop	VERB
cord-248050-apjwnwky	121	20	symptoms	symptom	NOUN
cord-248050-apjwnwky	121	21	,	,	PUNCT
cord-248050-apjwnwky	121	22	will	will	AUX
cord-248050-apjwnwky	121	23	be	be	AUX
cord-248050-apjwnwky	121	24	isolated	isolate	VERB
cord-248050-apjwnwky	121	25	more	more	ADV
cord-248050-apjwnwky	121	26	strongly	strongly	ADV
cord-248050-apjwnwky	121	27	than	than	ADP
cord-248050-apjwnwky	121	28	healthy	healthy	ADJ
cord-248050-apjwnwky	121	29	persons	person	NOUN
cord-248050-apjwnwky	121	30	.	.	PUNCT
cord-248050-apjwnwky	122	1	figure	figure	NOUN
cord-248050-apjwnwky	122	2	2	2	NUM
cord-248050-apjwnwky	122	3	shows	show	VERB
cord-248050-apjwnwky	122	4	the	the	DET
cord-248050-apjwnwky	122	5	time	time	NOUN
cord-248050-apjwnwky	122	6	evolution	evolution	NOUN
cord-248050-apjwnwky	122	7	of	of	ADP
cord-248050-apjwnwky	122	8	the	the	DET
cord-248050-apjwnwky	122	9	total	total	ADJ
cord-248050-apjwnwky	122	10	numbers	number	NOUN
cord-248050-apjwnwky	122	11	s(t	s(t	VERB
cord-248050-apjwnwky	122	12	)	)	PUNCT
cord-248050-apjwnwky	122	13	,	,	PUNCT
cord-248050-apjwnwky	122	14	i(t	i(t	PROPN
cord-248050-apjwnwky	122	15	)	)	PUNCT
cord-248050-apjwnwky	122	16	,	,	PUNCT
cord-248050-apjwnwky	122	17	and	and	CCONJ
cord-248050-apjwnwky	122	18	r(t	r(t	NOUN
cord-248050-apjwnwky	122	19	)	)	PUNCT
cord-248050-apjwnwky	122	20	of	of	ADP
cord-248050-apjwnwky	122	21	susceptible	susceptible	ADJ
cord-248050-apjwnwky	122	22	,	,	PUNCT
cord-248050-apjwnwky	122	23	infected	infect	VERB
cord-248050-apjwnwky	122	24	,	,	PUNCT
cord-248050-apjwnwky	122	25	and	and	CCONJ
cord-248050-apjwnwky	122	26	recovered	recover	VERB
cord-248050-apjwnwky	122	27	persons	person	NOUN
cord-248050-apjwnwky	122	28	,	,	PUNCT
cord-248050-apjwnwky	122	29	respectively	respectively	ADV
cord-248050-apjwnwky	122	30	,	,	PUNCT
cord-248050-apjwnwky	122	31	for	for	ADP
cord-248050-apjwnwky	122	32	the	the	DET
cord-248050-apjwnwky	122	33	cases	case	NOUN
cord-248050-apjwnwky	122	34	without	without	ADP
cord-248050-apjwnwky	122	35	interactions	interaction	NOUN
cord-248050-apjwnwky	122	36	(	(	PUNCT
cord-248050-apjwnwky	122	37	usual	usual	ADJ
cord-248050-apjwnwky	122	38	sir	sir	NOUN
cord-248050-apjwnwky	122	39	model	model	NOUN
cord-248050-apjwnwky	122	40	with	with	ADP
cord-248050-apjwnwky	122	41	diffusion	diffusion	NOUN
cord-248050-apjwnwky	122	42	)	)	PUNCT
cord-248050-apjwnwky	122	43	and	and	CCONJ
cord-248050-apjwnwky	122	44	with	with	ADP
cord-248050-apjwnwky	122	45	interactions	interaction	NOUN
cord-248050-apjwnwky	122	46	(	(	PUNCT
cord-248050-apjwnwky	122	47	our	our	PRON
cord-248050-apjwnwky	122	48	model	model	NOUN
cord-248050-apjwnwky	122	49	)	)	PUNCT
cord-248050-apjwnwky	122	50	.	.	PUNCT
cord-248050-apjwnwky	123	1	if	if	SCONJ
cord-248050-apjwnwky	123	2	no	no	DET
cord-248050-apjwnwky	123	3	interactions	interaction	NOUN
cord-248050-apjwnwky	123	4	are	be	AUX
cord-248050-apjwnwky	123	5	present	present	ADJ
cord-248050-apjwnwky	123	6	(	(	PUNCT
cord-248050-apjwnwky	123	7	i.e.	i.e.	X
cord-248050-apjwnwky	123	8	,	,	PUNCT
cord-248050-apjwnwky	123	9	c	c	PROPN
cord-248050-apjwnwky	123	10	si	si	PROPN
cord-248050-apjwnwky	123	11	=	=	SYM
cord-248050-apjwnwky	123	12	c	c	PROPN
cord-248050-apjwnwky	123	13	sd	sd	PROPN
cord-248050-apjwnwky	123	14	=	=	NOUN
cord-248050-apjwnwky	123	15	0	0	NUM
cord-248050-apjwnwky	123	16	)	)	PUNCT
cord-248050-apjwnwky	123	17	,	,	PUNCT
cord-248050-apjwnwky	123	18	i(t	i(t	PROPN
cord-248050-apjwnwky	123	19	)	)	PUNCT
cord-248050-apjwnwky	123	20	reaches	reach	VERB
cord-248050-apjwnwky	123	21	a	a	DET
cord-248050-apjwnwky	123	22	maximum	maximum	ADJ
cord-248050-apjwnwky	123	23	value	value	NOUN
cord-248050-apjwnwky	123	24	of	of	ADP
cord-248050-apjwnwky	123	25	about	about	ADV
cord-248050-apjwnwky	123	26	0.4	0.4	NUM
cord-248050-apjwnwky	123	27	and	and	CCONJ
cord-248050-apjwnwky	123	28	the	the	DET
cord-248050-apjwnwky	123	29	pandemic	pandemic	NOUN
cord-248050-apjwnwky	123	30	is	be	AUX
cord-248050-apjwnwky	123	31	over	over	ADV
cord-248050-apjwnwky	123	32	at	at	ADP
cord-248050-apjwnwky	123	33	time	time	NOUN
cord-248050-apjwnwky	123	34	t	t	PROPN
cord-248050-apjwnwky	123	35	≈	≈	PROPN
cord-248050-apjwnwky	123	36	100	100	NUM
cord-248050-apjwnwky	123	37	.	.	PUNCT
cord-248050-apjwnwky	124	1	in	in	ADP
cord-248050-apjwnwky	124	2	the	the	DET
cord-248050-apjwnwky	124	3	case	case	NOUN
cord-248050-apjwnwky	124	4	with	with	ADP
cord-248050-apjwnwky	124	5	interactions	interaction	NOUN
cord-248050-apjwnwky	124	6	(	(	PUNCT
cord-248050-apjwnwky	124	7	we	we	PRON
cord-248050-apjwnwky	124	8	choose	choose	VERB
cord-248050-apjwnwky	124	9	c	c	PROPN
cord-248050-apjwnwky	125	1	si	si	PROPN
cord-248050-apjwnwky	125	2	=	=	SYM
cord-248050-apjwnwky	125	3	2c	2c	PROPN
cord-248050-apjwnwky	125	4	sd	sd	PROPN
cord-248050-apjwnwky	125	5	=	=	NOUN
cord-248050-apjwnwky	125	6	−10	−10	PROPN
cord-248050-apjwnwky	125	7	,	,	PUNCT
cord-248050-apjwnwky	125	8	i.e.	i.e.	X
cord-248050-apjwnwky	125	9	,	,	PUNCT
cord-248050-apjwnwky	125	10	parameter	parameter	NOUN
cord-248050-apjwnwky	125	11	values	value	NOUN
cord-248050-apjwnwky	125	12	inside	inside	ADP
cord-248050-apjwnwky	125	13	the	the	DET
cord-248050-apjwnwky	125	14	social	social	ADJ
cord-248050-apjwnwky	125	15	isolation	isolation	NOUN
cord-248050-apjwnwky	125	16	phase	phase	NOUN
cord-248050-apjwnwky	125	17	)	)	PUNCT
cord-248050-apjwnwky	125	18	,	,	PUNCT
cord-248050-apjwnwky	125	19	the	the	DET
cord-248050-apjwnwky	125	20	maximum	maximum	NOUN
cord-248050-apjwnwky	125	21	is	be	AUX
cord-248050-apjwnwky	125	22	significantly	significantly	ADV
cord-248050-apjwnwky	125	23	reduced	reduce	VERB
cord-248050-apjwnwky	125	24	to	to	ADP
cord-248050-apjwnwky	125	25	a	a	DET
cord-248050-apjwnwky	125	26	value	value	NOUN
cord-248050-apjwnwky	125	27	of	of	ADP
cord-248050-apjwnwky	125	28	about	about	ADP
cord-248050-apjwnwky	125	29	0.1	0.1	NUM
cord-248050-apjwnwky	125	30	.	.	PUNCT
cord-248050-apjwnwky	126	1	the	the	DET
cord-248050-apjwnwky	126	2	final	final	ADJ
cord-248050-apjwnwky	126	3	value	value	NOUN
cord-248050-apjwnwky	126	4	of	of	ADP
cord-248050-apjwnwky	126	5	r(t	r(t	NOUN
cord-248050-apjwnwky	126	6	)	)	PUNCT
cord-248050-apjwnwky	126	7	,	,	PUNCT
cord-248050-apjwnwky	126	8	which	which	PRON
cord-248050-apjwnwky	126	9	measures	measure	VERB
cord-248050-apjwnwky	126	10	the	the	DET
cord-248050-apjwnwky	126	11	total	total	ADJ
cord-248050-apjwnwky	126	12	number	number	NOUN
cord-248050-apjwnwky	126	13	of	of	ADP
cord-248050-apjwnwky	126	14	persons	person	NOUN
cord-248050-apjwnwky	126	15	that	that	PRON
cord-248050-apjwnwky	126	16	have	have	AUX
cord-248050-apjwnwky	126	17	been	be	AUX
cord-248050-apjwnwky	126	18	infected	infect	VERB
cord-248050-apjwnwky	126	19	during	during	ADP
cord-248050-apjwnwky	126	20	the	the	DET
cord-248050-apjwnwky	126	21	pandemic	pandemic	NOUN
cord-248050-apjwnwky	126	22	,	,	PUNCT
cord-248050-apjwnwky	126	23	decreases	decrease	VERB
cord-248050-apjwnwky	126	24	from	from	ADP
cord-248050-apjwnwky	126	25	about	about	ADP
cord-248050-apjwnwky	126	26	1.0	1.0	NUM
cord-248050-apjwnwky	126	27	to	to	ADP
cord-248050-apjwnwky	126	28	about	about	ADP
cord-248050-apjwnwky	126	29	0.8	0.8	NUM
cord-248050-apjwnwky	126	30	.	.	PUNCT
cord-248050-apjwnwky	127	1	moreover	moreover	ADV
cord-248050-apjwnwky	127	2	,	,	PUNCT
cord-248050-apjwnwky	127	3	it	it	PRON
cord-248050-apjwnwky	127	4	takes	take	VERB
cord-248050-apjwnwky	127	5	significantly	significantly	ADV
cord-248050-apjwnwky	127	6	longer	long	ADV
cord-248050-apjwnwky	127	7	(	(	PUNCT
cord-248050-apjwnwky	127	8	until	until	SCONJ
cord-248050-apjwnwky	127	9	time	time	NOUN
cord-248050-apjwnwky	127	10	t	t	PROPN
cord-248050-apjwnwky	127	11	≈	≈	PROPN
cord-248050-apjwnwky	127	12	200	200	NUM
cord-248050-apjwnwky	127	13	)	)	PUNCT
cord-248050-apjwnwky	127	14	for	for	SCONJ
cord-248050-apjwnwky	127	15	the	the	DET
cord-248050-apjwnwky	127	16	pandemic	pandemic	NOUN
cord-248050-apjwnwky	127	17	to	to	PART
cord-248050-apjwnwky	127	18	end	end	VERB
cord-248050-apjwnwky	127	19	.	.	PUNCT
cord-248050-apjwnwky	128	1	this	this	PRON
cord-248050-apjwnwky	128	2	demonstrates	demonstrate	VERB
cord-248050-apjwnwky	128	3	that	that	SCONJ
cord-248050-apjwnwky	128	4	social	social	ADJ
cord-248050-apjwnwky	128	5	distancing	distancing	NOUN
cord-248050-apjwnwky	128	6	and	and	CCONJ
cord-248050-apjwnwky	128	7	self	self	NOUN
cord-248050-apjwnwky	128	8	-	-	PUNCT
cord-248050-apjwnwky	128	9	isolation	isolation	NOUN
cord-248050-apjwnwky	128	10	have	have	VERB
cord-248050-apjwnwky	128	11	the	the	DET
cord-248050-apjwnwky	128	12	effects	effect	NOUN
cord-248050-apjwnwky	128	13	they	they	PRON
cord-248050-apjwnwky	128	14	are	be	AUX
cord-248050-apjwnwky	128	15	supposed	suppose	VERB
cord-248050-apjwnwky	128	16	to	to	PART
cord-248050-apjwnwky	128	17	have	have	VERB
cord-248050-apjwnwky	128	18	,	,	PUNCT
cord-248050-apjwnwky	128	19	i.e.	i.e.	X
cord-248050-apjwnwky	128	20	,	,	PUNCT
cord-248050-apjwnwky	128	21	to	to	PART
cord-248050-apjwnwky	128	22	flatten	flatten	VERB
cord-248050-apjwnwky	128	23	the	the	DET
cord-248050-apjwnwky	128	24	curve	curve	NOUN
cord-248050-apjwnwky	128	25	i(t	i(t	PROPN
cord-248050-apjwnwky	128	26	)	)	PUNCT
cord-248050-apjwnwky	128	27	in	in	ADP
cord-248050-apjwnwky	128	28	such	such	DET
cord-248050-apjwnwky	128	29	a	a	DET
cord-248050-apjwnwky	128	30	way	way	NOUN
cord-248050-apjwnwky	128	31	that	that	PRON
cord-248050-apjwnwky	128	32	the	the	DET
cord-248050-apjwnwky	128	33	healthcare	healthcare	NOUN
cord-248050-apjwnwky	128	34	system	system	NOUN
cord-248050-apjwnwky	128	35	is	be	AUX
cord-248050-apjwnwky	128	36	able	able	ADJ
cord-248050-apjwnwky	128	37	to	to	PART
cord-248050-apjwnwky	128	38	take	take	VERB
cord-248050-apjwnwky	128	39	care	care	NOUN
cord-248050-apjwnwky	128	40	of	of	ADP
cord-248050-apjwnwky	128	41	all	all	DET
cord-248050-apjwnwky	128	42	cases	case	NOUN
cord-248050-apjwnwky	128	43	.	.	PUNCT
cord-248050-apjwnwky	129	1	the	the	DET
cord-248050-apjwnwky	129	2	theoretical	theoretical	ADJ
cord-248050-apjwnwky	129	3	predictions	prediction	NOUN
cord-248050-apjwnwky	129	4	for	for	ADP
cord-248050-apjwnwky	129	5	the	the	DET
cord-248050-apjwnwky	129	6	effects	effect	NOUN
cord-248050-apjwnwky	129	7	of	of	ADP
cord-248050-apjwnwky	129	8	quarantine	quarantine	NOUN
cord-248050-apjwnwky	129	9	on	on	ADP
cord-248050-apjwnwky	129	10	the	the	DET
cord-248050-apjwnwky	129	11	course	course	NOUN
cord-248050-apjwnwky	129	12	of	of	ADP
cord-248050-apjwnwky	129	13	i(t	i(t	PROPN
cord-248050-apjwnwky	129	14	)	)	PUNCT
cord-248050-apjwnwky	129	15	(	(	PUNCT
cord-248050-apjwnwky	129	16	sharp	sharp	ADJ
cord-248050-apjwnwky	129	17	rise	rise	NOUN
cord-248050-apjwnwky	129	18	,	,	PUNCT
cord-248050-apjwnwky	129	19	followed	follow	VERB
cord-248050-apjwnwky	129	20	by	by	ADP
cord-248050-apjwnwky	129	21	a	a	DET
cord-248050-apjwnwky	129	22	bend	bend	NOUN
cord-248050-apjwnwky	129	23	and	and	CCONJ
cord-248050-apjwnwky	129	24	a	a	DET
cord-248050-apjwnwky	129	25	flat	flat	ADJ
cord-248050-apjwnwky	129	26	curve	curve	NOUN
cord-248050-apjwnwky	129	27	)	)	PUNCT
cord-248050-apjwnwky	129	28	are	be	AUX
cord-248050-apjwnwky	129	29	in	in	ADP
cord-248050-apjwnwky	129	30	good	good	ADJ
cord-248050-apjwnwky	129	31	qualitative	qualitative	ADJ
cord-248050-apjwnwky	129	32	agreement	agreement	NOUN
cord-248050-apjwnwky	129	33	with	with	ADP
cord-248050-apjwnwky	129	34	recent	recent	ADJ
cord-248050-apjwnwky	129	35	data	datum	NOUN
cord-248050-apjwnwky	129	36	from	from	ADP
cord-248050-apjwnwky	129	37	china	china	PROPN
cord-248050-apjwnwky	129	38	[	[	PUNCT
cord-248050-apjwnwky	129	39	95	95	NUM
cord-248050-apjwnwky	129	40	,	,	PUNCT
cord-248050-apjwnwky	129	41	96	96	NUM
cord-248050-apjwnwky	129	42	]	]	PUNCT
cord-248050-apjwnwky	129	43	,	,	PUNCT
cord-248050-apjwnwky	129	44	where	where	SCONJ
cord-248050-apjwnwky	129	45	strict	strict	ADJ
cord-248050-apjwnwky	129	46	regulations	regulation	NOUN
cord-248050-apjwnwky	129	47	were	be	AUX
cord-248050-apjwnwky	129	48	implemented	implement	VERB
cord-248050-apjwnwky	129	49	to	to	PART
cord-248050-apjwnwky	129	50	control	control	VERB
cord-248050-apjwnwky	129	51	the	the	DET
cord-248050-apjwnwky	129	52	covid-19	covid-19	PROPN
cord-248050-apjwnwky	129	53	spread	spread	VERB
cord-248050-apjwnwky	129	54	[	[	X
cord-248050-apjwnwky	129	55	17	17	NUM
cord-248050-apjwnwky	129	56	]	]	PUNCT
cord-248050-apjwnwky	129	57	.	.	PUNCT
cord-248050-apjwnwky	130	1	to	to	PART
cord-248050-apjwnwky	130	2	explain	explain	VERB
cord-248050-apjwnwky	130	3	the	the	DET
cord-248050-apjwnwky	130	4	observed	observe	VERB
cord-248050-apjwnwky	130	5	phenomena	phenomena	NOUN
cord-248050-apjwnwky	130	6	,	,	PUNCT
cord-248050-apjwnwky	130	7	it	it	PRON
cord-248050-apjwnwky	130	8	is	be	AUX
cord-248050-apjwnwky	130	9	helpful	helpful	ADJ
cord-248050-apjwnwky	130	10	to	to	PART
cord-248050-apjwnwky	130	11	analyze	analyze	VERB
cord-248050-apjwnwky	130	12	the	the	DET
cord-248050-apjwnwky	130	13	spatial	spatial	ADJ
cord-248050-apjwnwky	130	14	distribution	distribution	NOUN
cord-248050-apjwnwky	130	15	of	of	ADP
cord-248050-apjwnwky	130	16	susceptible	susceptible	ADJ
cord-248050-apjwnwky	130	17	and	and	CCONJ
cord-248050-apjwnwky	130	18	infected	infected	ADJ
cord-248050-apjwnwky	130	19	persons	person	NOUN
cord-248050-apjwnwky	130	20	during	during	ADP
cord-248050-apjwnwky	130	21	the	the	DET
cord-248050-apjwnwky	130	22	pandemic	pandemic	NOUN
cord-248050-apjwnwky	130	23	.	.	PUNCT
cord-248050-apjwnwky	131	1	figure	figure	NOUN
cord-248050-apjwnwky	131	2	3	3	NUM
cord-248050-apjwnwky	131	3	visualizes	visualize	VERB
cord-248050-apjwnwky	131	4	i(x	i(x	PROPN
cord-248050-apjwnwky	131	5	,	,	PUNCT
cord-248050-apjwnwky	131	6	t	t	NOUN
cord-248050-apjwnwky	131	7	)	)	PUNCT
cord-248050-apjwnwky	131	8	with	with	ADP
cord-248050-apjwnwky	131	9	x	x	X
cord-248050-apjwnwky	131	10	=	=	X
cord-248050-apjwnwky	131	11	(	(	PUNCT
cord-248050-apjwnwky	131	12	r	r	NOUN
cord-248050-apjwnwky	131	13	)	)	PUNCT
cord-248050-apjwnwky	131	14	1	1	NUM
cord-248050-apjwnwky	131	15	.	.	PUNCT
cord-248050-apjwnwky	132	1	interestingly	interestingly	ADV
cord-248050-apjwnwky	132	2	,	,	PUNCT
cord-248050-apjwnwky	132	3	during	during	ADP
cord-248050-apjwnwky	132	4	the	the	DET
cord-248050-apjwnwky	132	5	time	time	NOUN
cord-248050-apjwnwky	132	6	interval	interval	NOUN
cord-248050-apjwnwky	132	7	where	where	SCONJ
cord-248050-apjwnwky	132	8	the	the	DET
cord-248050-apjwnwky	132	9	pandemic	pandemic	NOUN
cord-248050-apjwnwky	132	10	is	be	AUX
cord-248050-apjwnwky	132	11	present	present	ADJ
cord-248050-apjwnwky	132	12	,	,	PUNCT
cord-248050-apjwnwky	132	13	a	a	DET
cord-248050-apjwnwky	132	14	phase	phase	NOUN
cord-248050-apjwnwky	132	15	separation	separation	NOUN
cord-248050-apjwnwky	132	16	can	can	AUX
cord-248050-apjwnwky	132	17	be	be	AUX
cord-248050-apjwnwky	132	18	observed	observe	VERB
cord-248050-apjwnwky	132	19	in	in	ADP
cord-248050-apjwnwky	132	20	which	which	PRON
cord-248050-apjwnwky	132	21	the	the	DET
cord-248050-apjwnwky	132	22	infected	infect	VERB
cord-248050-apjwnwky	132	23	persons	person	NOUN
cord-248050-apjwnwky	132	24	accumulate	accumulate	VERB
cord-248050-apjwnwky	132	25	at	at	ADP
cord-248050-apjwnwky	132	26	certain	certain	ADJ
cord-248050-apjwnwky	132	27	spots	spot	NOUN
cord-248050-apjwnwky	132	28	separated	separate	VERB
cord-248050-apjwnwky	132	29	from	from	ADP
cord-248050-apjwnwky	132	30	the	the	DET
cord-248050-apjwnwky	132	31	susceptible	susceptible	ADJ
cord-248050-apjwnwky	132	32	persons	person	NOUN
cord-248050-apjwnwky	132	33	.	.	PUNCT
cord-248050-apjwnwky	133	1	(	(	PUNCT
cord-248050-apjwnwky	133	2	as	as	SCONJ
cord-248050-apjwnwky	133	3	this	this	DET
cord-248050-apjwnwky	133	4	effect	effect	NOUN
cord-248050-apjwnwky	133	5	is	be	AUX
cord-248050-apjwnwky	133	6	reminiscent	reminiscent	ADJ
cord-248050-apjwnwky	133	7	of	of	ADP
cord-248050-apjwnwky	133	8	measures	measure	NOUN
cord-248050-apjwnwky	133	9	that	that	PRON
cord-248050-apjwnwky	133	10	used	use	VERB
cord-248050-apjwnwky	133	11	to	to	PART
cord-248050-apjwnwky	133	12	be	be	AUX
cord-248050-apjwnwky	133	13	implemented	implement	VERB
cord-248050-apjwnwky	133	14	against	against	ADP
cord-248050-apjwnwky	133	15	the	the	DET
cord-248050-apjwnwky	133	16	spread	spread	NOUN
cord-248050-apjwnwky	133	17	of	of	ADP
cord-248050-apjwnwky	133	18	leprosy	leprosy	NOUN
cord-248050-apjwnwky	133	19	,	,	PUNCT
cord-248050-apjwnwky	133	20	we	we	PRON
cord-248050-apjwnwky	133	21	refer	refer	VERB
cord-248050-apjwnwky	133	22	to	to	ADP
cord-248050-apjwnwky	133	23	these	these	DET
cord-248050-apjwnwky	133	24	spots	spot	NOUN
cord-248050-apjwnwky	133	25	as	as	ADP
cord-248050-apjwnwky	133	26	"	"	PUNCT
cord-248050-apjwnwky	133	27	leper	leper	NOUN
cord-248050-apjwnwky	133	28	colonies	colony	NOUN
cord-248050-apjwnwky	133	29	"	"	PUNCT
cord-248050-apjwnwky	133	30	.	.	PUNCT
cord-248050-apjwnwky	133	31	)	)	PUNCT
cord-248050-apjwnwky	134	1	this	this	DET
cord-248050-apjwnwky	134	2	phase	phase	NOUN
cord-248050-apjwnwky	134	3	separation	separation	NOUN
cord-248050-apjwnwky	134	4	is	be	AUX
cord-248050-apjwnwky	134	5	a	a	DET
cord-248050-apjwnwky	134	6	consequence	consequence	NOUN
cord-248050-apjwnwky	134	7	of	of	ADP
cord-248050-apjwnwky	134	8	the	the	DET
cord-248050-apjwnwky	134	9	interactions	interaction	NOUN
cord-248050-apjwnwky	134	10	.	.	PUNCT
cord-248050-apjwnwky	135	1	since	since	SCONJ
cord-248050-apjwnwky	135	2	the	the	DET
cord-248050-apjwnwky	135	3	formation	formation	NOUN
cord-248050-apjwnwky	135	4	of	of	ADP
cord-248050-apjwnwky	135	5	leper	leper	NOUN
cord-248050-apjwnwky	135	6	colonies	colony	NOUN
cord-248050-apjwnwky	135	7	reduces	reduce	VERB
cord-248050-apjwnwky	135	8	the	the	DET
cord-248050-apjwnwky	135	9	spatial	spatial	ADJ
cord-248050-apjwnwky	135	10	overlap	overlap	NOUN
cord-248050-apjwnwky	135	11	of	of	ADP
cord-248050-apjwnwky	135	12	the	the	DET
cord-248050-apjwnwky	135	13	functions	function	NOUN
cord-248050-apjwnwky	135	14	i(x	i(x	NOUN
cord-248050-apjwnwky	135	15	,	,	PUNCT
cord-248050-apjwnwky	135	16	t	t	PROPN
cord-248050-apjwnwky	135	17	)	)	PUNCT
cord-248050-apjwnwky	135	18	and	and	CCONJ
cord-248050-apjwnwky	135	19	s(x	s(x	PROPN
cord-248050-apjwnwky	135	20	,	,	PUNCT
cord-248050-apjwnwky	135	21	t	t	PROPN
cord-248050-apjwnwky	135	22	)	)	PUNCT
cord-248050-apjwnwky	135	23	,	,	PUNCT
cord-248050-apjwnwky	135	24	i.e.	i.e.	X
cord-248050-apjwnwky	135	25	,	,	PUNCT
cord-248050-apjwnwky	135	26	the	the	DET
cord-248050-apjwnwky	135	27	amount	amount	NOUN
cord-248050-apjwnwky	135	28	of	of	ADP
cord-248050-apjwnwky	135	29	contacts	contact	NOUN
cord-248050-apjwnwky	135	30	between	between	ADP
cord-248050-apjwnwky	135	31	infected	infected	ADJ
cord-248050-apjwnwky	135	32	and	and	CCONJ
cord-248050-apjwnwky	135	33	susceptible	susceptible	ADJ
cord-248050-apjwnwky	135	34	persons	person	NOUN
cord-248050-apjwnwky	135	35	,	,	PUNCT
cord-248050-apjwnwky	135	36	the	the	DET
cord-248050-apjwnwky	135	37	total	total	ADJ
cord-248050-apjwnwky	135	38	number	number	NOUN
cord-248050-apjwnwky	135	39	of	of	ADP
cord-248050-apjwnwky	135	40	inthe	inthe	PROPN
cord-248050-apjwnwky	135	41	leper	leper	NOUN
cord-248050-apjwnwky	135	42	colony	colony	NOUN
cord-248050-apjwnwky	135	43	transition	transition	NOUN
cord-248050-apjwnwky	135	44	is	be	AUX
cord-248050-apjwnwky	135	45	an	an	DET
cord-248050-apjwnwky	135	46	interesting	interesting	ADJ
cord-248050-apjwnwky	135	47	type	type	NOUN
cord-248050-apjwnwky	135	48	of	of	ADP
cord-248050-apjwnwky	135	49	nonequilibrium	nonequilibrium	NOUN
cord-248050-apjwnwky	135	50	phase	phase	NOUN
cord-248050-apjwnwky	135	51	behavior	behavior	NOUN
cord-248050-apjwnwky	135	52	in	in	ADP
cord-248050-apjwnwky	135	53	its	its	PRON
cord-248050-apjwnwky	135	54	own	own	ADJ
cord-248050-apjwnwky	135	55	right	right	NOUN
cord-248050-apjwnwky	135	56	.	.	PUNCT
cord-248050-apjwnwky	136	1	recall	recall	VERB
cord-248050-apjwnwky	136	2	that	that	SCONJ
cord-248050-apjwnwky	136	3	we	we	PRON
cord-248050-apjwnwky	136	4	have	have	AUX
cord-248050-apjwnwky	136	5	motivated	motivate	VERB
cord-248050-apjwnwky	136	6	the	the	DET
cord-248050-apjwnwky	136	7	sir	sir	PROPN
cord-248050-apjwnwky	136	8	-	-	PUNCT
cord-248050-apjwnwky	136	9	ddft	ddft	PROPN
cord-248050-apjwnwky	136	10	model	model	PROPN
cord-248050-apjwnwky	136	11	based	base	VERB
cord-248050-apjwnwky	136	12	on	on	ADP
cord-248050-apjwnwky	136	13	theories	theory	NOUN
cord-248050-apjwnwky	136	14	for	for	ADP
cord-248050-apjwnwky	136	15	nonideal	nonideal	ADJ
cord-248050-apjwnwky	136	16	chemical	chemical	ADJ
cord-248050-apjwnwky	136	17	reactions	reaction	NOUN
cord-248050-apjwnwky	136	18	.	.	PUNCT
cord-248050-apjwnwky	137	1	it	it	PRON
cord-248050-apjwnwky	137	2	is	be	AUX
cord-248050-apjwnwky	137	3	thus	thus	ADV
cord-248050-apjwnwky	137	4	very	very	ADV
cord-248050-apjwnwky	137	5	likely	likely	ADJ
cord-248050-apjwnwky	137	6	that	that	SCONJ
cord-248050-apjwnwky	137	7	effects	effect	NOUN
cord-248050-apjwnwky	137	8	similar	similar	ADJ
cord-248050-apjwnwky	137	9	to	to	ADP
cord-248050-apjwnwky	137	10	the	the	DET
cord-248050-apjwnwky	137	11	ones	one	NOUN
cord-248050-apjwnwky	137	12	observed	observe	VERB
cord-248050-apjwnwky	137	13	here	here	ADV
cord-248050-apjwnwky	137	14	can	can	AUX
cord-248050-apjwnwky	137	15	be	be	AUX
cord-248050-apjwnwky	137	16	found	find	VERB
cord-248050-apjwnwky	137	17	in	in	ADP
cord-248050-apjwnwky	137	18	chemistry	chemistry	NOUN
cord-248050-apjwnwky	137	19	.	.	PUNCT
cord-248050-apjwnwky	138	1	in	in	ADP
cord-248050-apjwnwky	138	2	this	this	DET
cord-248050-apjwnwky	138	3	case	case	NOUN
cord-248050-apjwnwky	138	4	,	,	PUNCT
cord-248050-apjwnwky	138	5	they	they	PRON
cord-248050-apjwnwky	138	6	would	would	AUX
cord-248050-apjwnwky	138	7	imply	imply	VERB
cord-248050-apjwnwky	138	8	that	that	SCONJ
cord-248050-apjwnwky	138	9	particle	particle	NOUN
cord-248050-apjwnwky	138	10	interactions	interaction	NOUN
cord-248050-apjwnwky	138	11	can	can	AUX
cord-248050-apjwnwky	138	12	significantly	significantly	ADV
cord-248050-apjwnwky	138	13	affect	affect	VERB
cord-248050-apjwnwky	138	14	the	the	DET
cord-248050-apjwnwky	138	15	amount	amount	NOUN
cord-248050-apjwnwky	138	16	of	of	ADP
cord-248050-apjwnwky	138	17	a	a	DET
cord-248050-apjwnwky	138	18	certain	certain	ADJ
cord-248050-apjwnwky	138	19	substance	substance	NOUN
cord-248050-apjwnwky	138	20	that	that	PRON
cord-248050-apjwnwky	138	21	is	be	AUX
cord-248050-apjwnwky	138	22	produced	produce	VERB
cord-248050-apjwnwky	138	23	within	within	ADP
cord-248050-apjwnwky	138	24	a	a	DET
cord-248050-apjwnwky	138	25	chemical	chemical	ADJ
cord-248050-apjwnwky	138	26	reaction	reaction	NOUN
cord-248050-apjwnwky	138	27	,	,	PUNCT
cord-248050-apjwnwky	138	28	and	and	CCONJ
cord-248050-apjwnwky	138	29	that	that	SCONJ
cord-248050-apjwnwky	138	30	such	such	ADJ
cord-248050-apjwnwky	138	31	reactions	reaction	NOUN
cord-248050-apjwnwky	138	32	are	be	AUX
cord-248050-apjwnwky	138	33	accompanied	accompany	VERB
cord-248050-apjwnwky	138	34	by	by	ADP
cord-248050-apjwnwky	138	35	new	new	ADJ
cord-248050-apjwnwky	138	36	types	type	NOUN
cord-248050-apjwnwky	138	37	of	of	ADP
cord-248050-apjwnwky	138	38	(	(	PUNCT
cord-248050-apjwnwky	138	39	transient	transient	ADJ
cord-248050-apjwnwky	138	40	)	)	PUNCT
cord-248050-apjwnwky	138	41	pattern	pattern	NOUN
cord-248050-apjwnwky	138	42	formation	formation	NOUN
cord-248050-apjwnwky	138	43	.	.	PUNCT
cord-248050-apjwnwky	139	1	in	in	ADP
cord-248050-apjwnwky	139	2	summary	summary	NOUN
cord-248050-apjwnwky	139	3	,	,	PUNCT
cord-248050-apjwnwky	139	4	we	we	PRON
cord-248050-apjwnwky	139	5	have	have	AUX
cord-248050-apjwnwky	139	6	presented	present	VERB
cord-248050-apjwnwky	139	7	a	a	DET
cord-248050-apjwnwky	139	8	ddft	ddft	PROPN
cord-248050-apjwnwky	139	9	-	-	PUNCT
cord-248050-apjwnwky	139	10	based	base	VERB
cord-248050-apjwnwky	139	11	extension	extension	NOUN
cord-248050-apjwnwky	139	12	of	of	ADP
cord-248050-apjwnwky	139	13	the	the	DET
cord-248050-apjwnwky	139	14	usual	usual	ADJ
cord-248050-apjwnwky	139	15	models	model	NOUN
cord-248050-apjwnwky	139	16	for	for	ADP
cord-248050-apjwnwky	139	17	epidemic	epidemic	NOUN
cord-248050-apjwnwky	139	18	spreading	spread	VERB
cord-248050-apjwnwky	139	19	that	that	PRON
cord-248050-apjwnwky	139	20	allows	allow	VERB
cord-248050-apjwnwky	139	21	to	to	PART
cord-248050-apjwnwky	139	22	incorporate	incorporate	VERB
cord-248050-apjwnwky	139	23	social	social	ADJ
cord-248050-apjwnwky	139	24	interactions	interaction	NOUN
cord-248050-apjwnwky	139	25	,	,	PUNCT
cord-248050-apjwnwky	139	26	in	in	ADP
cord-248050-apjwnwky	139	27	particular	particular	ADJ
cord-248050-apjwnwky	139	28	in	in	ADP
cord-248050-apjwnwky	139	29	the	the	DET
cord-248050-apjwnwky	139	30	form	form	NOUN
cord-248050-apjwnwky	139	31	of	of	ADP
cord-248050-apjwnwky	139	32	self	self	NOUN
cord-248050-apjwnwky	139	33	-	-	PUNCT
cord-248050-apjwnwky	139	34	isolation	isolation	NOUN
cord-248050-apjwnwky	139	35	and	and	CCONJ
cord-248050-apjwnwky	139	36	social	social	ADJ
cord-248050-apjwnwky	139	37	distancing	distancing	NOUN
cord-248050-apjwnwky	139	38	.	.	PUNCT
cord-248050-apjwnwky	140	1	this	this	PRON
cord-248050-apjwnwky	140	2	has	have	AUX
cord-248050-apjwnwky	140	3	allowed	allow	VERB
cord-248050-apjwnwky	140	4	us	we	PRON
cord-248050-apjwnwky	140	5	to	to	PART
cord-248050-apjwnwky	140	6	analyze	analyze	VERB
cord-248050-apjwnwky	140	7	the	the	DET
cord-248050-apjwnwky	140	8	effect	effect	NOUN
cord-248050-apjwnwky	140	9	of	of	ADP
cord-248050-apjwnwky	140	10	these	these	DET
cord-248050-apjwnwky	140	11	measures	measure	NOUN
cord-248050-apjwnwky	140	12	on	on	ADP
cord-248050-apjwnwky	140	13	the	the	DET
cord-248050-apjwnwky	140	14	spatio	spatio	ADJ
cord-248050-apjwnwky	140	15	-	-	ADJ
cord-248050-apjwnwky	140	16	temporal	temporal	ADJ
cord-248050-apjwnwky	140	17	evolution	evolution	NOUN
cord-248050-apjwnwky	140	18	of	of	ADP
cord-248050-apjwnwky	140	19	pandemics	pandemic	NOUN
cord-248050-apjwnwky	140	20	.	.	PUNCT
cord-248050-apjwnwky	141	1	given	give	VERB
cord-248050-apjwnwky	141	2	the	the	DET
cord-248050-apjwnwky	141	3	importance	importance	NOUN
cord-248050-apjwnwky	141	4	of	of	ADP
cord-248050-apjwnwky	141	5	the	the	DET
cord-248050-apjwnwky	141	6	reduction	reduction	NOUN
cord-248050-apjwnwky	141	7	of	of	ADP
cord-248050-apjwnwky	141	8	social	social	ADJ
cord-248050-apjwnwky	141	9	interactions	interaction	NOUN
cord-248050-apjwnwky	141	10	for	for	ADP
cord-248050-apjwnwky	141	11	the	the	DET
cord-248050-apjwnwky	141	12	control	control	NOUN
cord-248050-apjwnwky	141	13	of	of	ADP
cord-248050-apjwnwky	141	14	pandemics	pandemic	NOUN
cord-248050-apjwnwky	141	15	,	,	PUNCT
cord-248050-apjwnwky	141	16	the	the	DET
cord-248050-apjwnwky	141	17	model	model	NOUN
cord-248050-apjwnwky	141	18	provides	provide	VERB
cord-248050-apjwnwky	141	19	a	a	DET
cord-248050-apjwnwky	141	20	highly	highly	ADV
cord-248050-apjwnwky	141	21	useful	useful	ADJ
cord-248050-apjwnwky	141	22	new	new	ADJ
cord-248050-apjwnwky	141	23	tool	tool	NOUN
cord-248050-apjwnwky	141	24	for	for	ADP
cord-248050-apjwnwky	141	25	predicting	predict	VERB
cord-248050-apjwnwky	141	26	epidemics	epidemic	NOUN
cord-248050-apjwnwky	141	27	and	and	CCONJ
cord-248050-apjwnwky	141	28	deciding	decide	VERB
cord-248050-apjwnwky	141	29	how	how	SCONJ
cord-248050-apjwnwky	141	30	to	to	PART
cord-248050-apjwnwky	141	31	react	react	VERB
cord-248050-apjwnwky	141	32	to	to	ADP
cord-248050-apjwnwky	141	33	them	they	PRON
cord-248050-apjwnwky	141	34	.	.	PUNCT
cord-248050-apjwnwky	142	1	moreover	moreover	ADV
cord-248050-apjwnwky	142	2	,	,	PUNCT
cord-248050-apjwnwky	142	3	it	it	PRON
cord-248050-apjwnwky	142	4	shows	show	VERB
cord-248050-apjwnwky	142	5	an	an	DET
cord-248050-apjwnwky	142	6	interesting	interesting	ADJ
cord-248050-apjwnwky	142	7	phase	phase	NOUN
cord-248050-apjwnwky	142	8	behavior	behavior	NOUN
cord-248050-apjwnwky	142	9	relevant	relevant	ADJ
cord-248050-apjwnwky	142	10	for	for	ADP
cord-248050-apjwnwky	142	11	future	future	ADJ
cord-248050-apjwnwky	142	12	work	work	NOUN
cord-248050-apjwnwky	142	13	on	on	ADP
cord-248050-apjwnwky	142	14	ddft	ddft	PROPN
cord-248050-apjwnwky	142	15	and	and	CCONJ
cord-248050-apjwnwky	142	16	nonideal	nonideal	ADJ
cord-248050-apjwnwky	142	17	chemical	chemical	NOUN
cord-248050-apjwnwky	142	18	reactions	reaction	NOUN
cord-248050-apjwnwky	142	19	.	.	PUNCT
cord-248050-apjwnwky	143	1	a	a	DET
cord-248050-apjwnwky	143	2	possible	possible	ADJ
cord-248050-apjwnwky	143	3	extension	extension	NOUN
cord-248050-apjwnwky	143	4	of	of	ADP
cord-248050-apjwnwky	143	5	our	our	PRON
cord-248050-apjwnwky	143	6	model	model	NOUN
cord-248050-apjwnwky	143	7	is	be	AUX
cord-248050-apjwnwky	143	8	the	the	DET
cord-248050-apjwnwky	143	9	incorporation	incorporation	NOUN
cord-248050-apjwnwky	143	10	of	of	ADP
cord-248050-apjwnwky	143	11	fractional	fractional	ADJ
cord-248050-apjwnwky	143	12	derivatives	derivative	NOUN
cord-248050-apjwnwky	143	13	[	[	X
cord-248050-apjwnwky	143	14	97	97	NUM
cord-248050-apjwnwky	143	15	,	,	PUNCT
cord-248050-apjwnwky	143	16	98	98	NUM
cord-248050-apjwnwky	143	17	]	]	PUNCT
cord-248050-apjwnwky	143	18	.	.	PUNCT
cord-248050-apjwnwky	144	1	furthermore	furthermore	ADV
cord-248050-apjwnwky	144	2	,	,	PUNCT
cord-248050-apjwnwky	144	3	enhanced	enhance	VERB
cord-248050-apjwnwky	144	4	simulations	simulation	NOUN
cord-248050-apjwnwky	144	5	in	in	ADP
cord-248050-apjwnwky	144	6	two	two	NUM
cord-248050-apjwnwky	144	7	spatial	spatial	ADJ
cord-248050-apjwnwky	144	8	dimensions	dimension	NOUN
cord-248050-apjwnwky	144	9	could	could	AUX
cord-248050-apjwnwky	144	10	show	show	VERB
cord-248050-apjwnwky	144	11	interesting	interesting	ADJ
cord-248050-apjwnwky	144	12	pattern	pattern	NOUN
cord-248050-apjwnwky	144	13	formation	formation	NOUN
cord-248050-apjwnwky	144	14	effects	effect	NOUN
cord-248050-apjwnwky	144	15	associated	associate	VERB
cord-248050-apjwnwky	144	16	with	with	ADP
cord-248050-apjwnwky	144	17	leper	leper	NOUN
cord-248050-apjwnwky	144	18	colony	colony	NOUN
cord-248050-apjwnwky	144	19	formation	formation	NOUN
cord-248050-apjwnwky	144	20	.	.	PUNCT
cord-248050-apjwnwky	145	1	here	here	ADV
cord-248050-apjwnwky	145	2	,	,	PUNCT
cord-248050-apjwnwky	145	3	we	we	PRON
cord-248050-apjwnwky	145	4	present	present	VERB
cord-248050-apjwnwky	145	5	a	a	DET
cord-248050-apjwnwky	145	6	possible	possible	ADJ
cord-248050-apjwnwky	145	7	generalization	generalization	NOUN
cord-248050-apjwnwky	145	8	of	of	ADP
cord-248050-apjwnwky	145	9	our	our	PRON
cord-248050-apjwnwky	145	10	model	model	NOUN
cord-248050-apjwnwky	145	11	.	.	PUNCT
cord-248050-apjwnwky	146	1	in	in	ADP
cord-248050-apjwnwky	146	2	the	the	DET
cord-248050-apjwnwky	146	3	main	main	ADJ
cord-248050-apjwnwky	146	4	text	text	NOUN
cord-248050-apjwnwky	146	5	,	,	PUNCT
cord-248050-apjwnwky	146	6	we	we	PRON
cord-248050-apjwnwky	146	7	have	have	AUX
cord-248050-apjwnwky	146	8	used	use	VERB
cord-248050-apjwnwky	146	9	the	the	DET
cord-248050-apjwnwky	146	10	decomposition	decomposition	NOUN
cord-248050-apjwnwky	146	11	which	which	PRON
cord-248050-apjwnwky	146	12	gives	give	VERB
cord-248050-apjwnwky	146	13	the	the	DET
cord-248050-apjwnwky	146	14	excess	excess	ADJ
cord-248050-apjwnwky	146	15	free	free	ADJ
cord-248050-apjwnwky	146	16	energy	energy	NOUN
cord-248050-apjwnwky	146	17	(	(	PUNCT
cord-248050-apjwnwky	146	18	i.e.	i.e.	X
cord-248050-apjwnwky	146	19	,	,	PUNCT
cord-248050-apjwnwky	146	20	the	the	DET
cord-248050-apjwnwky	146	21	contribution	contribution	NOUN
cord-248050-apjwnwky	146	22	from	from	ADP
cord-248050-apjwnwky	146	23	interactions	interaction	NOUN
cord-248050-apjwnwky	146	24	)	)	PUNCT
cord-248050-apjwnwky	146	25	as	as	ADP
cord-248050-apjwnwky	146	26	a	a	DET
cord-248050-apjwnwky	146	27	sum	sum	NOUN
cord-248050-apjwnwky	146	28	of	of	ADP
cord-248050-apjwnwky	146	29	social	social	ADJ
cord-248050-apjwnwky	146	30	distancing	distancing	NOUN
cord-248050-apjwnwky	146	31	and	and	CCONJ
cord-248050-apjwnwky	146	32	selfisolation	selfisolation	NOUN
cord-248050-apjwnwky	146	33	.	.	PUNCT
cord-248050-apjwnwky	147	1	instead	instead	ADV
cord-248050-apjwnwky	147	2	,	,	PUNCT
cord-248050-apjwnwky	147	3	one	one	PRON
cord-248050-apjwnwky	147	4	can	can	AUX
cord-248050-apjwnwky	147	5	use	use	VERB
cord-248050-apjwnwky	147	6	the	the	DET
cord-248050-apjwnwky	147	7	form	form	NOUN
cord-248050-apjwnwky	147	8	in	in	ADP
cord-248050-apjwnwky	147	9	this	this	DET
cord-248050-apjwnwky	147	10	case	case	NOUN
cord-248050-apjwnwky	147	11	,	,	PUNCT
cord-248050-apjwnwky	147	12	social	social	ADJ
cord-248050-apjwnwky	147	13	distancing	distancing	NOUN
cord-248050-apjwnwky	147	14	remains	remain	VERB
cord-248050-apjwnwky	147	15	unaffected	unaffected	ADJ
cord-248050-apjwnwky	147	16	.	.	PUNCT
cord-248050-apjwnwky	148	1	however	however	ADV
cord-248050-apjwnwky	148	2	,	,	PUNCT
cord-248050-apjwnwky	148	3	there	there	PRON
cord-248050-apjwnwky	148	4	are	be	VERB
cord-248050-apjwnwky	148	5	now	now	ADV
cord-248050-apjwnwky	148	6	two	two	NUM
cord-248050-apjwnwky	148	7	terms	term	NOUN
cord-248050-apjwnwky	148	8	f	f	PROPN
cord-248050-apjwnwky	148	9	iso	iso	PROPN
cord-248050-apjwnwky	148	10	and	and	CCONJ
cord-248050-apjwnwky	148	11	f	f	PROPN
cord-248050-apjwnwky	148	12	ill	ill	ADJ
cord-248050-apjwnwky	148	13	determining	determine	VERB
cord-248050-apjwnwky	148	14	the	the	DET
cord-248050-apjwnwky	148	15	way	way	NOUN
cord-248050-apjwnwky	148	16	infected	infected	ADJ
cord-248050-apjwnwky	148	17	persons	person	NOUN
cord-248050-apjwnwky	148	18	interact	interact	VERB
cord-248050-apjwnwky	148	19	with	with	ADP
cord-248050-apjwnwky	148	20	others	other	NOUN
cord-248050-apjwnwky	148	21	.	.	PUNCT
cord-248050-apjwnwky	149	1	f	f	PROPN
cord-248050-apjwnwky	149	2	iso	iso	PROPN
cord-248050-apjwnwky	149	3	is	be	AUX
cord-248050-apjwnwky	149	4	the	the	DET
cord-248050-apjwnwky	149	5	isolation	isolation	NOUN
cord-248050-apjwnwky	149	6	term	term	NOUN
cord-248050-apjwnwky	149	7	,	,	PUNCT
cord-248050-apjwnwky	149	8	which	which	PRON
cord-248050-apjwnwky	149	9	corresponds	correspond	VERB
cord-248050-apjwnwky	149	10	to	to	ADP
cord-248050-apjwnwky	149	11	a	a	DET
cord-248050-apjwnwky	149	12	repulsive	repulsive	ADJ
cord-248050-apjwnwky	149	13	interaction	interaction	NOUN
cord-248050-apjwnwky	149	14	between	between	ADP
cord-248050-apjwnwky	149	15	infected	infected	ADJ
cord-248050-apjwnwky	149	16	and	and	CCONJ
cord-248050-apjwnwky	149	17	healthy	healthy	ADJ
cord-248050-apjwnwky	149	18	individuals	individual	NOUN
cord-248050-apjwnwky	149	19	.	.	PUNCT
cord-248050-apjwnwky	150	1	the	the	DET
cord-248050-apjwnwky	150	2	term	term	NOUN
cord-248050-apjwnwky	150	3	f	f	PROPN
cord-248050-apjwnwky	150	4	ill	ill	PROPN
cord-248050-apjwnwky	150	5	models	model	VERB
cord-248050-apjwnwky	150	6	the	the	DET
cord-248050-apjwnwky	150	7	interaction	interaction	NOUN
cord-248050-apjwnwky	150	8	of	of	ADP
cord-248050-apjwnwky	150	9	infected	infected	ADJ
cord-248050-apjwnwky	150	10	persons	person	NOUN
cord-248050-apjwnwky	150	11	with	with	ADP
cord-248050-apjwnwky	150	12	other	other	ADJ
cord-248050-apjwnwky	150	13	infected	infected	ADJ
cord-248050-apjwnwky	150	14	persons	person	NOUN
cord-248050-apjwnwky	150	15	.	.	PUNCT
cord-248050-apjwnwky	151	1	this	this	PRON
cord-248050-apjwnwky	151	2	can	can	AUX
cord-248050-apjwnwky	151	3	have	have	VERB
cord-248050-apjwnwky	151	4	various	various	ADJ
cord-248050-apjwnwky	151	5	forms	form	NOUN
cord-248050-apjwnwky	151	6	.	.	PUNCT
cord-248050-apjwnwky	152	1	they	they	PRON
cord-248050-apjwnwky	152	2	repel	repel	VERB
cord-248050-apjwnwky	152	3	each	each	DET
cord-248050-apjwnwky	152	4	other	other	ADJ
cord-248050-apjwnwky	152	5	if	if	SCONJ
cord-248050-apjwnwky	152	6	they	they	PRON
cord-248050-apjwnwky	152	7	practice	practice	VERB
cord-248050-apjwnwky	152	8	social	social	ADJ
cord-248050-apjwnwky	152	9	distancing	distancing	NOUN
cord-248050-apjwnwky	152	10	or	or	CCONJ
cord-248050-apjwnwky	152	11	self	self	NOUN
cord-248050-apjwnwky	152	12	-	-	PUNCT
cord-248050-apjwnwky	152	13	isolation	isolation	NOUN
cord-248050-apjwnwky	152	14	,	,	PUNCT
cord-248050-apjwnwky	152	15	but	but	CCONJ
cord-248050-apjwnwky	152	16	they	they	PRON
cord-248050-apjwnwky	152	17	can	can	AUX
cord-248050-apjwnwky	152	18	also	also	ADV
cord-248050-apjwnwky	152	19	attract	attract	VERB
cord-248050-apjwnwky	152	20	each	each	DET
cord-248050-apjwnwky	152	21	other	other	ADJ
cord-248050-apjwnwky	152	22	(	(	PUNCT
cord-248050-apjwnwky	152	23	e.g.	e.g.	ADV
cord-248050-apjwnwky	152	24	,	,	PUNCT
cord-248050-apjwnwky	152	25	if	if	SCONJ
cord-248050-apjwnwky	152	26	they	they	PRON
cord-248050-apjwnwky	152	27	intentionally	intentionally	ADV
cord-248050-apjwnwky	152	28	accumulate	accumulate	VERB
cord-248050-apjwnwky	152	29	in	in	ADP
cord-248050-apjwnwky	152	30	a	a	DET
cord-248050-apjwnwky	152	31	hospital	hospital	NOUN
cord-248050-apjwnwky	152	32	or	or	CCONJ
cord-248050-apjwnwky	152	33	quarantine	quarantine	NOUN
cord-248050-apjwnwky	152	34	station	station	NOUN
cord-248050-apjwnwky	152	35	)	)	PUNCT
cord-248050-apjwnwky	152	36	.	.	PUNCT
cord-248050-apjwnwky	153	1	assuming	assume	VERB
cord-248050-apjwnwky	153	2	that	that	SCONJ
cord-248050-apjwnwky	153	3	the	the	DET
cord-248050-apjwnwky	153	4	interaction	interaction	NOUN
cord-248050-apjwnwky	153	5	corresponding	corresponding	ADJ
cord-248050-apjwnwky	153	6	to	to	ADP
cord-248050-apjwnwky	153	7	f	f	PROPN
cord-248050-apjwnwky	153	8	ill	ill	PROPN
cord-248050-apjwnwky	153	9	is	be	AUX
cord-248050-apjwnwky	153	10	also	also	ADV
cord-248050-apjwnwky	153	11	gaussian	gaussian	ADJ
cord-248050-apjwnwky	153	12	,	,	PUNCT
cord-248050-apjwnwky	153	13	i.e.	i.e.	X
cord-248050-apjwnwky	153	14	,	,	PUNCT
cord-248050-apjwnwky	153	15	with	with	ADP
cord-248050-apjwnwky	153	16	the	the	DET
cord-248050-apjwnwky	153	17	parameters	parameter	NOUN
cord-248050-apjwnwky	153	18	c	c	PROPN
cord-248050-apjwnwky	153	19	iso	iso	PROPN
cord-248050-apjwnwky	153	20	and	and	CCONJ
cord-248050-apjwnwky	153	21	c	c	NOUN
cord-248050-apjwnwky	153	22	ill	ill	ADJ
cord-248050-apjwnwky	153	23	for	for	ADP
cord-248050-apjwnwky	153	24	the	the	DET
cord-248050-apjwnwky	153	25	strength	strength	NOUN
cord-248050-apjwnwky	153	26	and	and	CCONJ
cord-248050-apjwnwky	153	27	σ	σ	PROPN
cord-248050-apjwnwky	153	28	iso	iso	PROPN
cord-248050-apjwnwky	153	29	and	and	CCONJ
cord-248050-apjwnwky	153	30	σ	σ	PROPN
cord-248050-apjwnwky	153	31	ill	ill	ADJ
cord-248050-apjwnwky	153	32	for	for	ADP
cord-248050-apjwnwky	153	33	the	the	DET
cord-248050-apjwnwky	153	34	range	range	NOUN
cord-248050-apjwnwky	153	35	of	of	ADP
cord-248050-apjwnwky	153	36	the	the	DET
cord-248050-apjwnwky	153	37	infected	infect	VERB
cord-248050-apjwnwky	153	38	-	-	PUNCT
cord-248050-apjwnwky	153	39	noninfected	noninfecte	VERB
cord-248050-apjwnwky	153	40	and	and	CCONJ
cord-248050-apjwnwky	153	41	infected	infect	VERB
cord-248050-apjwnwky	153	42	-	-	PUNCT
cord-248050-apjwnwky	153	43	infected	infect	VERB
cord-248050-apjwnwky	153	44	interactions	interaction	NOUN
cord-248050-apjwnwky	153	45	,	,	PUNCT
cord-248050-apjwnwky	153	46	respectively	respectively	ADV
cord-248050-apjwnwky	153	47	,	,	PUNCT
cord-248050-apjwnwky	153	48	the	the	DET
cord-248050-apjwnwky	153	49	model	model	NOUN
cord-248050-apjwnwky	153	50	given	give	VERB
cord-248050-apjwnwky	153	51	by	by	ADP
cord-248050-apjwnwky	153	52	eqs	eqs	PROPN
cord-248050-apjwnwky	153	53	.	.	PUNCT
cord-248050-apjwnwky	154	1	(	(	PUNCT
cord-248050-apjwnwky	154	2	9)(11	9)(11	NUM
cord-248050-apjwnwky	154	3	)	)	PUNCT
cord-248050-apjwnwky	154	4	in	in	ADP
cord-248050-apjwnwky	154	5	the	the	DET
cord-248050-apjwnwky	154	6	main	main	ADJ
cord-248050-apjwnwky	154	7	text	text	NOUN
cord-248050-apjwnwky	154	8	generalizes	generalize	VERB
cord-248050-apjwnwky	154	9	to	to	ADP
cord-248050-apjwnwky	154	10	with	with	ADP
cord-248050-apjwnwky	154	11	the	the	DET
cord-248050-apjwnwky	154	12	kernels	kernel	NOUN
cord-248050-apjwnwky	154	13	k	k	PROPN
cord-248050-apjwnwky	154	14	ill	ill	PROPN
cord-248050-apjwnwky	154	15	(	(	PUNCT
cord-248050-apjwnwky	154	16	r	r	NOUN
cord-248050-apjwnwky	154	17	)	)	PUNCT
cord-248050-apjwnwky	154	18	=	=	PUNCT
cord-248050-apjwnwky	154	19	e	e	PROPN
cord-248050-apjwnwky	154	20	−σ	−σ	PROPN
cord-248050-apjwnwky	154	21	ill	ill	PROPN
cord-248050-apjwnwky	154	22	r	r	PROPN
cord-248050-apjwnwky	154	23	2	2	NUM
cord-248050-apjwnwky	154	24	(	(	PUNCT
cord-248050-apjwnwky	154	25	s11	s11	NOUN
cord-248050-apjwnwky	154	26	)	)	PUNCT
cord-248050-apjwnwky	154	27	and	and	CCONJ
cord-248050-apjwnwky	154	28	k	k	PROPN
cord-248050-apjwnwky	154	29	sd	sd	PROPN
cord-248050-apjwnwky	154	30	as	as	SCONJ
cord-248050-apjwnwky	154	31	defined	define	VERB
cord-248050-apjwnwky	154	32	in	in	ADP
cord-248050-apjwnwky	154	33	the	the	DET
cord-248050-apjwnwky	154	34	main	main	ADJ
cord-248050-apjwnwky	154	35	text	text	NOUN
cord-248050-apjwnwky	154	36	.	.	PUNCT
cord-248050-apjwnwky	155	1	for	for	ADP
cord-248050-apjwnwky	155	2	c	c	PROPN
cord-248050-apjwnwky	155	3	iso	iso	PROPN
cord-248050-apjwnwky	155	4	=	=	X
cord-248050-apjwnwky	155	5	c	c	NOUN
cord-248050-apjwnwky	155	6	ill	ill	PROPN
cord-248050-apjwnwky	155	7	=	=	PROPN
cord-248050-apjwnwky	155	8	c	c	X
cord-248050-apjwnwky	155	9	si	si	PROPN
cord-248050-apjwnwky	155	10	and	and	CCONJ
cord-248050-apjwnwky	155	11	σ	σ	PROPN
cord-248050-apjwnwky	155	12	iso	iso	PROPN
cord-248050-apjwnwky	155	13	=	=	SYM
cord-248050-apjwnwky	155	14	σ	σ	PROPN
cord-248050-apjwnwky	155	15	ill	ill	ADJ
cord-248050-apjwnwky	155	16	=	=	SYM
cord-248050-apjwnwky	155	17	σ	σ	X
cord-248050-apjwnwky	155	18	si	si	PROPN
cord-248050-apjwnwky	155	19	,	,	PUNCT
cord-248050-apjwnwky	155	20	the	the	DET
cord-248050-apjwnwky	155	21	standard	standard	ADJ
cord-248050-apjwnwky	155	22	case	case	NOUN
cord-248050-apjwnwky	155	23	is	be	AUX
cord-248050-apjwnwky	155	24	recovered	recover	VERB
cord-248050-apjwnwky	155	25	.	.	PUNCT
cord-248050-apjwnwky	156	1	the	the	DET
cord-248050-apjwnwky	156	2	general	general	ADJ
cord-248050-apjwnwky	156	3	model	model	NOUN
cord-248050-apjwnwky	156	4	can	can	AUX
cord-248050-apjwnwky	156	5	also	also	ADV
cord-248050-apjwnwky	156	6	allow	allow	VERB
cord-248050-apjwnwky	156	7	for	for	ADP
cord-248050-apjwnwky	156	8	attractive	attractive	ADJ
cord-248050-apjwnwky	156	9	interactions	interaction	NOUN
cord-248050-apjwnwky	156	10	between	between	ADP
cord-248050-apjwnwky	156	11	infected	infected	ADJ
cord-248050-apjwnwky	156	12	persons	person	NOUN
cord-248050-apjwnwky	156	13	,	,	PUNCT
cord-248050-apjwnwky	156	14	or	or	CCONJ
cord-248050-apjwnwky	156	15	simply	simply	ADV
cord-248050-apjwnwky	156	16	for	for	ADP
cord-248050-apjwnwky	156	17	a	a	DET
cord-248050-apjwnwky	156	18	reduction	reduction	NOUN
cord-248050-apjwnwky	156	19	of	of	ADP
cord-248050-apjwnwky	156	20	the	the	DET
cord-248050-apjwnwky	156	21	repulsion	repulsion	NOUN
cord-248050-apjwnwky	156	22	between	between	ADP
cord-248050-apjwnwky	156	23	them	they	PRON
cord-248050-apjwnwky	156	24	(	(	PUNCT
cord-248050-apjwnwky	156	25	resulting	result	VERB
cord-248050-apjwnwky	156	26	from	from	ADP
cord-248050-apjwnwky	156	27	the	the	DET
cord-248050-apjwnwky	156	28	fact	fact	NOUN
cord-248050-apjwnwky	156	29	that	that	SCONJ
cord-248050-apjwnwky	156	30	they	they	PRON
cord-248050-apjwnwky	156	31	are	be	AUX
cord-248050-apjwnwky	156	32	already	already	ADV
cord-248050-apjwnwky	156	33	ill	ill	ADJ
cord-248050-apjwnwky	156	34	)	)	PUNCT
cord-248050-apjwnwky	156	35	.	.	PUNCT
cord-248050-apjwnwky	157	1	here	here	ADV
cord-248050-apjwnwky	157	2	,	,	PUNCT
cord-248050-apjwnwky	157	3	we	we	PRON
cord-248050-apjwnwky	157	4	perform	perform	VERB
cord-248050-apjwnwky	157	5	a	a	DET
cord-248050-apjwnwky	157	6	linear	linear	ADJ
cord-248050-apjwnwky	157	7	stability	stability	NOUN
cord-248050-apjwnwky	157	8	analysis	analysis	NOUN
cord-248050-apjwnwky	157	9	of	of	ADP
cord-248050-apjwnwky	157	10	the	the	DET
cord-248050-apjwnwky	157	11	extended	extended	ADJ
cord-248050-apjwnwky	157	12	model	model	NOUN
cord-248050-apjwnwky	157	13	given	give	VERB
cord-248050-apjwnwky	157	14	by	by	ADP
cord-248050-apjwnwky	157	15	eqs	eqs	PROPN
cord-248050-apjwnwky	157	16	.	.	PUNCT
cord-248050-apjwnwky	158	1	(	(	PUNCT
cord-248050-apjwnwky	158	2	5)-(7	5)-(7	NUM
cord-248050-apjwnwky	158	3	)	)	PUNCT
cord-248050-apjwnwky	158	4	from	from	ADP
cord-248050-apjwnwky	158	5	the	the	DET
cord-248050-apjwnwky	158	6	main	main	ADJ
cord-248050-apjwnwky	158	7	text	text	NOUN
cord-248050-apjwnwky	158	8	.	.	PUNCT
cord-248050-apjwnwky	159	1	for	for	ADP
cord-248050-apjwnwky	159	2	the	the	DET
cord-248050-apjwnwky	159	3	excess	excess	ADJ
cord-248050-apjwnwky	159	4	free	free	ADJ
cord-248050-apjwnwky	159	5	energy	energy	NOUN
cord-248050-apjwnwky	159	6	,	,	PUNCT
cord-248050-apjwnwky	159	7	we	we	PRON
cord-248050-apjwnwky	159	8	use	use	VERB
cord-248050-apjwnwky	159	9	the	the	DET
cord-248050-apjwnwky	159	10	combined	combined	PROPN
cord-248050-apjwnwky	159	11	ramakrishnan	ramakrishnan	PROPN
cord-248050-apjwnwky	159	12	-	-	PUNCT
cord-248050-apjwnwky	159	13	yussouff	yussouff	PROPN
cord-248050-apjwnwky	159	14	-	-	PUNCT
cord-248050-apjwnwky	159	15	debye	debye	PROPN
cord-248050-apjwnwky	159	16	-	-	PUNCT
cord-248050-apjwnwky	159	17	hückel	hückel	NOUN
cord-248050-apjwnwky	159	18	approximation	approximation	NOUN
cord-248050-apjwnwky	159	19	as	as	ADP
cord-248050-apjwnwky	159	20	in	in	ADP
cord-248050-apjwnwky	159	21	eqs	eqs	PROPN
cord-248050-apjwnwky	159	22	.	.	PUNCT
cord-248050-apjwnwky	160	1	(	(	PUNCT
cord-248050-apjwnwky	160	2	9)(11	9)(11	NUM
cord-248050-apjwnwky	160	3	)	)	PUNCT
cord-248050-apjwnwky	160	4	,	,	PUNCT
cord-248050-apjwnwky	160	5	but	but	CCONJ
cord-248050-apjwnwky	161	1	now	now	ADV
cord-248050-apjwnwky	161	2	with	with	ADP
cord-248050-apjwnwky	161	3	general	general	ADJ
cord-248050-apjwnwky	161	4	two	two	NUM
cord-248050-apjwnwky	161	5	-	-	PUNCT
cord-248050-apjwnwky	161	6	body	body	NOUN
cord-248050-apjwnwky	161	7	potentials	potential	VERB
cord-248050-apjwnwky	161	8	u	u	PROPN
cord-248050-apjwnwky	161	9	sd	sd	PROPN
cord-248050-apjwnwky	161	10	h	h	X
cord-248050-apjwnwky	161	11	d	d	X
cord-248050-apjwnwky	161	12	(	(	PUNCT
cord-248050-apjwnwky	161	13	x	x	NOUN
cord-248050-apjwnwky	161	14	−	−	PROPN
cord-248050-apjwnwky	161	15	x	x	PROPN
cord-248050-apjwnwky	161	16	)	)	PUNCT
cord-248050-apjwnwky	161	17	for	for	ADP
cord-248050-apjwnwky	161	18	social	social	ADJ
cord-248050-apjwnwky	161	19	distancing	distancing	NOUN
cord-248050-apjwnwky	161	20	and	and	CCONJ
cord-248050-apjwnwky	161	21	u	u	PROPN
cord-248050-apjwnwky	161	22	si	si	PROPN
cord-248050-apjwnwky	161	23	h	h	X
cord-248050-apjwnwky	162	1	i	i	NOUN
cord-248050-apjwnwky	162	2	(	(	PUNCT
cord-248050-apjwnwky	162	3	x	x	NOUN
cord-248050-apjwnwky	162	4	−	−	PROPN
cord-248050-apjwnwky	162	5	x	x	PROPN
cord-248050-apjwnwky	162	6	)	)	PUNCT
cord-248050-apjwnwky	162	7	for	for	ADP
cord-248050-apjwnwky	162	8	self	self	NOUN
cord-248050-apjwnwky	162	9	-	-	PUNCT
cord-248050-apjwnwky	162	10	isolation	isolation	NOUN
cord-248050-apjwnwky	162	11	.	.	PUNCT
cord-248050-apjwnwky	163	1	in	in	ADP
cord-248050-apjwnwky	163	2	one	one	NUM
cord-248050-apjwnwky	163	3	spatial	spatial	ADJ
cord-248050-apjwnwky	163	4	dimension	dimension	NOUN
cord-248050-apjwnwky	163	5	,	,	PUNCT
cord-248050-apjwnwky	163	6	we	we	PRON
cord-248050-apjwnwky	163	7	obtain	obtain	VERB
cord-248050-apjwnwky	163	8	(	(	PUNCT
cord-248050-apjwnwky	163	9	s14	s14	PROPN
cord-248050-apjwnwky	163	10	)	)	PUNCT
cord-248050-apjwnwky	163	11	any	any	DET
cord-248050-apjwnwky	163	12	homogeneous	homogeneous	ADJ
cord-248050-apjwnwky	163	13	state	state	NOUN
cord-248050-apjwnwky	163	14	with	with	ADP
cord-248050-apjwnwky	163	15	s	s	PROPN
cord-248050-apjwnwky	163	16	=	=	X
cord-248050-apjwnwky	163	17	s	s	NOUN
cord-248050-apjwnwky	163	18	0	0	NUM
cord-248050-apjwnwky	163	19	,	,	PUNCT
cord-248050-apjwnwky	163	20	r	r	NOUN
cord-248050-apjwnwky	163	21	=	=	X
cord-248050-apjwnwky	163	22	r	r	NOUN
cord-248050-apjwnwky	163	23	0	0	NUM
cord-248050-apjwnwky	163	24	,	,	PUNCT
cord-248050-apjwnwky	163	25	and	and	CCONJ
cord-248050-apjwnwky	163	26	i	i	PRON
cord-248050-apjwnwky	163	27	=	=	NOUN
cord-248050-apjwnwky	163	28	0	0	NUM
cord-248050-apjwnwky	163	29	,	,	PUNCT
cord-248050-apjwnwky	163	30	where	where	SCONJ
cord-248050-apjwnwky	163	31	s	s	PROPN
cord-248050-apjwnwky	163	32	0	0	PUNCT
cord-248050-apjwnwky	163	33	and	and	CCONJ
cord-248050-apjwnwky	163	34	r	r	NOUN
cord-248050-apjwnwky	163	35	0	0	NUM
cord-248050-apjwnwky	163	36	are	be	AUX
cord-248050-apjwnwky	163	37	constants	constant	NOUN
cord-248050-apjwnwky	163	38	,	,	PUNCT
cord-248050-apjwnwky	163	39	will	will	AUX
cord-248050-apjwnwky	163	40	be	be	AUX
cord-248050-apjwnwky	163	41	a	a	DET
cord-248050-apjwnwky	163	42	fixed	fix	VERB
cord-248050-apjwnwky	163	43	point	point	NOUN
cord-248050-apjwnwky	163	44	.	.	PUNCT
cord-248050-apjwnwky	164	1	we	we	PRON
cord-248050-apjwnwky	164	2	consider	consider	VERB
cord-248050-apjwnwky	164	3	fields	field	NOUN
cord-248050-apjwnwky	164	4	s	s	PROPN
cord-248050-apjwnwky	164	5	=	=	SYM
cord-248050-apjwnwky	164	6	s	s	X
cord-248050-apjwnwky	164	7	0	0	NUM
cord-248050-apjwnwky	164	8	+	+	SYM
cord-248050-apjwnwky	164	9	s	s	NOUN
cord-248050-apjwnwky	164	10	and	and	CCONJ
cord-248050-apjwnwky	164	11	r	r	NOUN
cord-248050-apjwnwky	164	12	=	=	X
cord-248050-apjwnwky	164	13	r	r	NOUN
cord-248050-apjwnwky	164	14	0	0	NUM
cord-248050-apjwnwky	165	1	+	+	NOUN
cord-248050-apjwnwky	165	2	r	r	NOUN
cord-248050-apjwnwky	165	3	with	with	ADP
cord-248050-apjwnwky	165	4	small	small	ADJ
cord-248050-apjwnwky	165	5	perturbationss	perturbations	NOUN
cord-248050-apjwnwky	165	6	andr	andr	PROPN
cord-248050-apjwnwky	165	7	and	and	CCONJ
cord-248050-apjwnwky	165	8	linearize	linearize	VERB
cord-248050-apjwnwky	165	9	in	in	ADP
cord-248050-apjwnwky	165	10	the	the	DET
cord-248050-apjwnwky	165	11	perturbations	perturbation	NOUN
cord-248050-apjwnwky	165	12	.	.	PUNCT
cord-248050-apjwnwky	166	1	this	this	PRON
cord-248050-apjwnwky	166	2	results	result	VERB
cord-248050-apjwnwky	166	3	in	in	ADP
cord-248050-apjwnwky	166	4	(	(	PUNCT
cord-248050-apjwnwky	166	5	s17	s17	PROPN
cord-248050-apjwnwky	166	6	)	)	PUNCT
cord-248050-apjwnwky	166	7	we	we	PRON
cord-248050-apjwnwky	166	8	now	now	ADV
cord-248050-apjwnwky	166	9	drop	drop	VERB
cord-248050-apjwnwky	166	10	the	the	DET
cord-248050-apjwnwky	166	11	tilde	tilde	NOUN
cord-248050-apjwnwky	166	12	and	and	CCONJ
cord-248050-apjwnwky	166	13	make	make	VERB
cord-248050-apjwnwky	166	14	the	the	DET
cord-248050-apjwnwky	166	15	ansatz	ansatz	PROPN
cord-248050-apjwnwky	166	16	s	s	PROPN
cord-248050-apjwnwky	166	17	=	=	X
cord-248050-apjwnwky	166	18	s	s	NOUN
cord-248050-apjwnwky	166	19	1	1	NUM
cord-248050-apjwnwky	166	20	exp(λt	exp(λt	NOUN
cord-248050-apjwnwky	166	21	−	−	PROPN
cord-248050-apjwnwky	166	22	ikx	ikx	PROPN
cord-248050-apjwnwky	166	23	)	)	PUNCT
cord-248050-apjwnwky	166	24	,	,	PUNCT
cord-248050-apjwnwky	166	25	i	i	PRON
cord-248050-apjwnwky	166	26	=	=	NOUN
cord-248050-apjwnwky	166	27	i	i	NOUN
cord-248050-apjwnwky	166	28	1	1	NUM
cord-248050-apjwnwky	166	29	exp(λt	exp(λt	NOUN
cord-248050-apjwnwky	166	30	−	−	PROPN
cord-248050-apjwnwky	166	31	ikx	ikx	PROPN
cord-248050-apjwnwky	166	32	)	)	PUNCT
cord-248050-apjwnwky	166	33	,	,	PUNCT
cord-248050-apjwnwky	166	34	and	and	CCONJ
cord-248050-apjwnwky	166	35	r	r	NOUN
cord-248050-apjwnwky	166	36	=	=	X
cord-248050-apjwnwky	166	37	r	r	NOUN
cord-248050-apjwnwky	166	38	1	1	NUM
cord-248050-apjwnwky	166	39	exp(λt	exp(λt	NOUN
cord-248050-apjwnwky	166	40	−	−	PROPN
cord-248050-apjwnwky	166	41	ikx	ikx	PROPN
cord-248050-apjwnwky	166	42	)	)	PUNCT
cord-248050-apjwnwky	166	43	.	.	PUNCT
cord-248050-apjwnwky	167	1	this	this	PRON
cord-248050-apjwnwky	167	2	gives	give	VERB
cord-248050-apjwnwky	167	3	the	the	DET
cord-248050-apjwnwky	167	4	eigenvalue	eigenvalue	NOUN
cord-248050-apjwnwky	167	5	equation	equation	NOUN
cord-248050-apjwnwky	167	6	here	here	ADV
cord-248050-apjwnwky	167	7	,	,	PUNCT
cord-248050-apjwnwky	167	8	ĥ	ĥ	X
cord-248050-apjwnwky	167	9	d	d	X
cord-248050-apjwnwky	167	10	(	(	PUNCT
cord-248050-apjwnwky	167	11	k	k	PROPN
cord-248050-apjwnwky	167	12	)	)	PUNCT
cord-248050-apjwnwky	167	13	andĥ	andĥ	PROPN
cord-248050-apjwnwky	167	14	i	i	PROPN
cord-248050-apjwnwky	167	15	(	(	PUNCT
cord-248050-apjwnwky	167	16	k	k	PROPN
cord-248050-apjwnwky	167	17	)	)	PUNCT
cord-248050-apjwnwky	167	18	are	be	AUX
cord-248050-apjwnwky	167	19	the	the	DET
cord-248050-apjwnwky	167	20	fourier	fourier	NOUN
cord-248050-apjwnwky	167	21	transforms	transform	NOUN
cord-248050-apjwnwky	167	22	of	of	ADP
cord-248050-apjwnwky	167	23	h	h	PROPN
cord-248050-apjwnwky	167	24	d	d	NOUN
cord-248050-apjwnwky	167	25	(	(	PUNCT
cord-248050-apjwnwky	167	26	x	x	NOUN
cord-248050-apjwnwky	167	27	−	−	PROPN
cord-248050-apjwnwky	167	28	x	x	PROPN
cord-248050-apjwnwky	167	29	)	)	PUNCT
cord-248050-apjwnwky	167	30	and	and	CCONJ
cord-248050-apjwnwky	167	31	h	h	PROPN
cord-248050-apjwnwky	167	32	i	i	NOUN
cord-248050-apjwnwky	167	33	(	(	PUNCT
cord-248050-apjwnwky	167	34	x	x	NOUN
cord-248050-apjwnwky	167	35	−	−	PROPN
cord-248050-apjwnwky	167	36	x	x	PROPN
cord-248050-apjwnwky	167	37	)	)	PUNCT
cord-248050-apjwnwky	167	38	,	,	PUNCT
cord-248050-apjwnwky	167	39	respectively	respectively	ADV
cord-248050-apjwnwky	167	40	.	.	PUNCT
cord-248050-apjwnwky	168	1	the	the	DET
cord-248050-apjwnwky	168	2	corresponding	corresponding	ADJ
cord-248050-apjwnwky	168	3	characteristic	characteristic	ADJ
cord-248050-apjwnwky	168	4	polynomial	polynomial	NOUN
cord-248050-apjwnwky	168	5	reads	read	VERB
cord-248050-apjwnwky	168	6	(	(	PUNCT
cord-248050-apjwnwky	168	7	s19	s19	PROPN
cord-248050-apjwnwky	168	8	)	)	PUNCT
cord-248050-apjwnwky	168	9	rather	rather	ADV
cord-248050-apjwnwky	168	10	than	than	ADP
cord-248050-apjwnwky	168	11	solving	solve	VERB
cord-248050-apjwnwky	168	12	this	this	DET
cord-248050-apjwnwky	168	13	third	third	ADJ
cord-248050-apjwnwky	168	14	-	-	PUNCT
cord-248050-apjwnwky	168	15	order	order	NOUN
cord-248050-apjwnwky	168	16	polynomial	polynomial	NOUN
cord-248050-apjwnwky	168	17	in	in	ADP
cord-248050-apjwnwky	168	18	λ	λ	PROPN
cord-248050-apjwnwky	168	19	exactly	exactly	ADV
cord-248050-apjwnwky	168	20	,	,	PUNCT
cord-248050-apjwnwky	168	21	we	we	PRON
cord-248050-apjwnwky	168	22	consider	consider	VERB
cord-248050-apjwnwky	168	23	the	the	DET
cord-248050-apjwnwky	168	24	limit	limit	NOUN
cord-248050-apjwnwky	168	25	of	of	ADP
cord-248050-apjwnwky	168	26	long	long	ADJ
cord-248050-apjwnwky	168	27	wavelengths	wavelength	NOUN
cord-248050-apjwnwky	168	28	.	.	PUNCT
cord-248050-apjwnwky	169	1	for	for	ADP
cord-248050-apjwnwky	169	2	k	k	PROPN
cord-248050-apjwnwky	169	3	=	=	NOUN
cord-248050-apjwnwky	169	4	0	0	NUM
cord-248050-apjwnwky	169	5	,	,	PUNCT
cord-248050-apjwnwky	169	6	which	which	PRON
cord-248050-apjwnwky	169	7	corresponds	correspond	VERB
cord-248050-apjwnwky	169	8	to	to	ADP
cord-248050-apjwnwky	169	9	the	the	DET
cord-248050-apjwnwky	169	10	usual	usual	ADJ
cord-248050-apjwnwky	169	11	sir	sir	NOUN
cord-248050-apjwnwky	169	12	model	model	NOUN
cord-248050-apjwnwky	169	13	given	give	VERB
cord-248050-apjwnwky	169	14	by	by	ADP
cord-248050-apjwnwky	169	15	eqs	eqs	PROPN
cord-248050-apjwnwky	169	16	.	.	PUNCT
cord-248050-apjwnwky	170	1	(	(	PUNCT
cord-248050-apjwnwky	170	2	1)-(3	1)-(3	NUM
cord-248050-apjwnwky	170	3	)	)	PUNCT
cord-248050-apjwnwky	170	4	in	in	ADP
cord-248050-apjwnwky	170	5	the	the	DET
cord-248050-apjwnwky	170	6	main	main	ADJ
cord-248050-apjwnwky	170	7	text	text	NOUN
cord-248050-apjwnwky	170	8	if	if	SCONJ
cord-248050-apjwnwky	170	9	we	we	PRON
cord-248050-apjwnwky	170	10	assume	assume	VERB
cord-248050-apjwnwky	170	11	k	k	PROPN
cord-248050-apjwnwky	170	12	2ĥ	2ĥ	X
cord-248050-apjwnwky	171	1	d	d	PROPN
cord-248050-apjwnwky	171	2	(	(	PUNCT
cord-248050-apjwnwky	171	3	k	k	NOUN
cord-248050-apjwnwky	171	4	)	)	PUNCT
cord-248050-apjwnwky	171	5	=	=	NOUN
cord-248050-apjwnwky	171	6	0	0	NUM
cord-248050-apjwnwky	171	7	,	,	PUNCT
cord-248050-apjwnwky	171	8	eq	eq	PROPN
cord-248050-apjwnwky	171	9	.	.	PUNCT
cord-248050-apjwnwky	171	10	(	(	PUNCT
cord-248050-apjwnwky	171	11	s19	s19	PROPN
cord-248050-apjwnwky	171	12	)	)	PUNCT
cord-248050-apjwnwky	171	13	simplifies	simplifie	NOUN
cord-248050-apjwnwky	171	14	to	to	PART
cord-248050-apjwnwky	171	15	which	which	PRON
cord-248050-apjwnwky	171	16	has	have	VERB
cord-248050-apjwnwky	171	17	the	the	DET
cord-248050-apjwnwky	171	18	solutions	solution	NOUN
cord-248050-apjwnwky	171	19	this	this	PRON
cord-248050-apjwnwky	171	20	means	mean	VERB
cord-248050-apjwnwky	171	21	that	that	SCONJ
cord-248050-apjwnwky	171	22	the	the	DET
cord-248050-apjwnwky	171	23	epidemic	epidemic	NOUN
cord-248050-apjwnwky	171	24	will	will	AUX
cord-248050-apjwnwky	171	25	start	start	VERB
cord-248050-apjwnwky	171	26	growing	grow	VERB
cord-248050-apjwnwky	171	27	when	when	SCONJ
cord-248050-apjwnwky	171	28	cs	cs	PROPN
cord-248050-apjwnwky	171	29	0	0	X
cord-248050-apjwnwky	171	30	>	>	PUNCT
cord-248050-apjwnwky	171	31	w	w	PROPN
cord-248050-apjwnwky	171	32	,	,	PUNCT
cord-248050-apjwnwky	171	33	since	since	SCONJ
cord-248050-apjwnwky	171	34	in	in	ADP
cord-248050-apjwnwky	171	35	this	this	DET
cord-248050-apjwnwky	171	36	case	case	NOUN
cord-248050-apjwnwky	171	37	there	there	PRON
cord-248050-apjwnwky	171	38	is	be	VERB
cord-248050-apjwnwky	171	39	a	a	DET
cord-248050-apjwnwky	171	40	positive	positive	ADJ
cord-248050-apjwnwky	171	41	eigenvalue	eigenvalue	NOUN
cord-248050-apjwnwky	171	42	.	.	PUNCT
cord-248050-apjwnwky	172	1	when	when	SCONJ
cord-248050-apjwnwky	172	2	interpreting	interpret	VERB
cord-248050-apjwnwky	172	3	this	this	DET
cord-248050-apjwnwky	172	4	result	result	NOUN
cord-248050-apjwnwky	172	5	,	,	PUNCT
cord-248050-apjwnwky	172	6	one	one	PRON
cord-248050-apjwnwky	172	7	should	should	AUX
cord-248050-apjwnwky	172	8	take	take	VERB
cord-248050-apjwnwky	172	9	into	into	ADP
cord-248050-apjwnwky	172	10	account	account	NOUN
cord-248050-apjwnwky	172	11	that	that	SCONJ
cord-248050-apjwnwky	172	12	,	,	PUNCT
cord-248050-apjwnwky	172	13	since	since	SCONJ
cord-248050-apjwnwky	172	14	a	a	DET
cord-248050-apjwnwky	172	15	susceptible	susceptible	ADJ
cord-248050-apjwnwky	172	16	person	person	NOUN
cord-248050-apjwnwky	172	17	that	that	PRON
cord-248050-apjwnwky	172	18	has	have	AUX
cord-248050-apjwnwky	172	19	been	be	AUX
cord-248050-apjwnwky	172	20	infected	infect	VERB
cord-248050-apjwnwky	172	21	can	can	AUX
cord-248050-apjwnwky	172	22	not	not	PART
cord-248050-apjwnwky	172	23	become	become	VERB
cord-248050-apjwnwky	172	24	susceptible	susceptible	ADJ
cord-248050-apjwnwky	172	25	again	again	ADV
cord-248050-apjwnwky	172	26	,	,	PUNCT
cord-248050-apjwnwky	172	27	the	the	DET
cord-248050-apjwnwky	172	28	system	system	NOUN
cord-248050-apjwnwky	172	29	will	will	AUX
cord-248050-apjwnwky	172	30	,	,	PUNCT
cord-248050-apjwnwky	172	31	after	after	ADP
cord-248050-apjwnwky	172	32	a	a	DET
cord-248050-apjwnwky	172	33	small	small	ADJ
cord-248050-apjwnwky	172	34	perturbation	perturbation	NOUN
cord-248050-apjwnwky	172	35	,	,	PUNCT
cord-248050-apjwnwky	172	36	not	not	PART
cord-248050-apjwnwky	172	37	go	go	VERB
cord-248050-apjwnwky	172	38	back	back	ADV
cord-248050-apjwnwky	172	39	to	to	ADP
cord-248050-apjwnwky	172	40	the	the	DET
cord-248050-apjwnwky	172	41	same	same	ADJ
cord-248050-apjwnwky	172	42	state	state	NOUN
cord-248050-apjwnwky	172	43	as	as	ADP
cord-248050-apjwnwky	172	44	before	before	ADP
cord-248050-apjwnwky	172	45	even	even	ADV
cord-248050-apjwnwky	172	46	if	if	SCONJ
cord-248050-apjwnwky	172	47	w	w	PROPN
cord-248050-apjwnwky	172	48	>	>	X
cord-248050-apjwnwky	172	49	cs	cs	PROPN
cord-248050-apjwnwky	172	50	0	0	NUM
cord-248050-apjwnwky	172	51	.	.	PUNCT
cord-248050-apjwnwky	173	1	actually	actually	ADV
cord-248050-apjwnwky	173	2	,	,	PUNCT
cord-248050-apjwnwky	173	3	we	we	PRON
cord-248050-apjwnwky	173	4	have	have	AUX
cord-248050-apjwnwky	173	5	tested	test	VERB
cord-248050-apjwnwky	173	6	the	the	DET
cord-248050-apjwnwky	173	7	linear	linear	ADJ
cord-248050-apjwnwky	173	8	stability	stability	NOUN
cord-248050-apjwnwky	173	9	of	of	ADP
cord-248050-apjwnwky	173	10	the	the	DET
cord-248050-apjwnwky	173	11	s	s	NOUN
cord-248050-apjwnwky	173	12	-	-	PUNCT
cord-248050-apjwnwky	173	13	r	r	NOUN
cord-248050-apjwnwky	173	14	plane	plane	NOUN
cord-248050-apjwnwky	173	15	in	in	ADP
cord-248050-apjwnwky	173	16	phase	phase	NOUN
cord-248050-apjwnwky	173	17	space	space	NOUN
cord-248050-apjwnwky	173	18	,	,	PUNCT
cord-248050-apjwnwky	173	19	and	and	CCONJ
cord-248050-apjwnwky	173	20	the	the	DET
cord-248050-apjwnwky	173	21	fact	fact	NOUN
cord-248050-apjwnwky	173	22	that	that	SCONJ
cord-248050-apjwnwky	173	23	any	any	DET
cord-248050-apjwnwky	173	24	parameter	parameter	NOUN
cord-248050-apjwnwky	173	25	combination	combination	NOUN
cord-248050-apjwnwky	173	26	of	of	ADP
cord-248050-apjwnwky	173	27	s	s	NOUN
cord-248050-apjwnwky	173	28	0	0	NUM
cord-248050-apjwnwky	173	29	and	and	CCONJ
cord-248050-apjwnwky	173	30	r	r	NOUN
cord-248050-apjwnwky	173	31	0	0	NUM
cord-248050-apjwnwky	173	32	with	with	ADP
cord-248050-apjwnwky	173	33	i	i	PRON
cord-248050-apjwnwky	173	34	=	=	NOUN
cord-248050-apjwnwky	173	35	0	0	SYM
cord-248050-apjwnwky	173	36	is	be	AUX
cord-248050-apjwnwky	173	37	a	a	DET
cord-248050-apjwnwky	173	38	solution	solution	NOUN
cord-248050-apjwnwky	173	39	of	of	ADP
cord-248050-apjwnwky	173	40	the	the	DET
cord-248050-apjwnwky	173	41	sir	sir	PROPN
cord-248050-apjwnwky	173	42	model	model	NOUN
cord-248050-apjwnwky	173	43	is	be	AUX
cord-248050-apjwnwky	173	44	reflected	reflect	VERB
cord-248050-apjwnwky	173	45	by	by	ADP
cord-248050-apjwnwky	173	46	the	the	DET
cord-248050-apjwnwky	173	47	existence	existence	NOUN
cord-248050-apjwnwky	173	48	of	of	ADP
cord-248050-apjwnwky	173	49	the	the	DET
cord-248050-apjwnwky	173	50	eigenvalue	eigenvalue	NOUN
cord-248050-apjwnwky	173	51	λ	λ	PROPN
cord-248050-apjwnwky	173	52	=	=	NOUN
cord-248050-apjwnwky	173	53	0	0	NUM
cord-248050-apjwnwky	173	54	with	with	ADP
cord-248050-apjwnwky	173	55	algebraic	algebraic	ADJ
cord-248050-apjwnwky	173	56	multiplicity	multiplicity	NOUN
cord-248050-apjwnwky	173	57	2	2	NUM
cord-248050-apjwnwky	173	58	(	(	PUNCT
cord-248050-apjwnwky	173	59	a	a	DET
cord-248050-apjwnwky	173	60	perturbation	perturbation	NOUN
cord-248050-apjwnwky	173	61	within	within	ADP
cord-248050-apjwnwky	173	62	the	the	DET
cord-248050-apjwnwky	173	63	s	s	PROPN
cord-248050-apjwnwky	173	64	-	-	PUNCT
cord-248050-apjwnwky	173	65	r	r	NOUN
cord-248050-apjwnwky	173	66	plane	plane	NOUN
cord-248050-apjwnwky	173	67	will	will	AUX
cord-248050-apjwnwky	173	68	obviously	obviously	ADV
cord-248050-apjwnwky	173	69	not	not	PART
cord-248050-apjwnwky	173	70	lead	lead	VERB
cord-248050-apjwnwky	173	71	to	to	ADP
cord-248050-apjwnwky	173	72	an	an	DET
cord-248050-apjwnwky	173	73	outbreak	outbreak	NOUN
cord-248050-apjwnwky	173	74	)	)	PUNCT
cord-248050-apjwnwky	173	75	.	.	PUNCT
cord-248050-apjwnwky	174	1	next	next	ADV
cord-248050-apjwnwky	174	2	,	,	PUNCT
cord-248050-apjwnwky	174	3	we	we	PRON
cord-248050-apjwnwky	174	4	consider	consider	VERB
cord-248050-apjwnwky	174	5	the	the	DET
cord-248050-apjwnwky	174	6	case	case	NOUN
cord-248050-apjwnwky	174	7	k	k	PROPN
cord-248050-apjwnwky	174	8	=	=	SYM
cord-248050-apjwnwky	174	9	0	0	NUM
cord-248050-apjwnwky	174	10	,	,	PUNCT
cord-248050-apjwnwky	174	11	but	but	CCONJ
cord-248050-apjwnwky	174	12	assume	assume	VERB
cord-248050-apjwnwky	174	13	that	that	SCONJ
cord-248050-apjwnwky	174	14	we	we	PRON
cord-248050-apjwnwky	174	15	can	can	AUX
cord-248050-apjwnwky	174	16	neglect	neglect	VERB
cord-248050-apjwnwky	174	17	the	the	DET
cord-248050-apjwnwky	174	18	term	term	NOUN
cord-248050-apjwnwky	174	19	s	s	PROPN
cord-248050-apjwnwky	174	20	0	0	NUM
cord-248050-apjwnwky	174	21	r	r	NOUN
cord-248050-apjwnwky	174	22	0	0	NUM
cord-248050-apjwnwky	175	1	k	k	NOUN
cord-248050-apjwnwky	175	2	4	4	NUM
cord-248050-apjwnwky	175	3	u	u	NOUN
cord-248050-apjwnwky	175	4	2	2	NUM
cord-248050-apjwnwky	175	5	sdĥ	sdĥ	PROPN
cord-248050-apjwnwky	175	6	2	2	NUM
cord-248050-apjwnwky	175	7	d	d	NOUN
cord-248050-apjwnwky	175	8	(	(	PUNCT
cord-248050-apjwnwky	175	9	k)γ	k)γ	PROPN
cord-248050-apjwnwky	175	10	s	s	PROPN
cord-248050-apjwnwky	175	11	γ	γ	X
cord-248050-apjwnwky	175	12	r	r	NOUN
cord-248050-apjwnwky	175	13	in	in	ADP
cord-248050-apjwnwky	175	14	eq	eq	PROPN
cord-248050-apjwnwky	175	15	.	.	PUNCT
cord-248050-apjwnwky	176	1	(	(	PUNCT
cord-248050-apjwnwky	176	2	s19	s19	PROPN
cord-248050-apjwnwky	176	3	)	)	PUNCT
cord-248050-apjwnwky	176	4	.	.	PUNCT
cord-248050-apjwnwky	177	1	this	this	PRON
cord-248050-apjwnwky	177	2	corresponds	correspond	VERB
cord-248050-apjwnwky	177	3	to	to	ADP
cord-248050-apjwnwky	177	4	assuming	assume	VERB
cord-248050-apjwnwky	177	5	either	either	CCONJ
cord-248050-apjwnwky	177	6	r	r	NOUN
cord-248050-apjwnwky	177	7	0	0	NUM
cord-248050-apjwnwky	177	8	=	=	NOUN
cord-248050-apjwnwky	177	9	0	0	NUM
cord-248050-apjwnwky	178	1	(	(	PUNCT
cord-248050-apjwnwky	178	2	i.e.	i.e.	X
cord-248050-apjwnwky	178	3	,	,	PUNCT
cord-248050-apjwnwky	178	4	we	we	PRON
cord-248050-apjwnwky	178	5	consider	consider	VERB
cord-248050-apjwnwky	178	6	the	the	DET
cord-248050-apjwnwky	178	7	begin	begin	NOUN
cord-248050-apjwnwky	178	8	of	of	ADP
cord-248050-apjwnwky	178	9	an	an	DET
cord-248050-apjwnwky	178	10	outbreak	outbreak	NOUN
cord-248050-apjwnwky	178	11	of	of	ADP
cord-248050-apjwnwky	178	12	a	a	DET
cord-248050-apjwnwky	178	13	new	new	ADJ
cord-248050-apjwnwky	178	14	disease	disease	NOUN
cord-248050-apjwnwky	178	15	that	that	PRON
cord-248050-apjwnwky	178	16	no	no	DET
cord-248050-apjwnwky	178	17	one	one	NOUN
cord-248050-apjwnwky	178	18	is	be	AUX
cord-248050-apjwnwky	178	19	yet	yet	ADV
cord-248050-apjwnwky	178	20	immune	immune	ADJ
cord-248050-apjwnwky	178	21	against	against	ADP
cord-248050-apjwnwky	178	22	)	)	PUNCT
cord-248050-apjwnwky	178	23	or	or	CCONJ
cord-248050-apjwnwky	178	24	small	small	ADJ
cord-248050-apjwnwky	178	25	k	k	NOUN
cord-248050-apjwnwky	178	26	(	(	PUNCT
cord-248050-apjwnwky	178	27	such	such	ADJ
cord-248050-apjwnwky	178	28	that	that	SCONJ
cord-248050-apjwnwky	178	29	terms	term	NOUN
cord-248050-apjwnwky	178	30	of	of	ADP
cord-248050-apjwnwky	178	31	order	order	NOUN
cord-248050-apjwnwky	178	32	k	k	PROPN
cord-248050-apjwnwky	178	33	4	4	NUM
cord-248050-apjwnwky	178	34	can	can	AUX
cord-248050-apjwnwky	178	35	be	be	AUX
cord-248050-apjwnwky	178	36	neglected	neglect	VERB
cord-248050-apjwnwky	178	37	)	)	PUNCT
cord-248050-apjwnwky	178	38	.	.	PUNCT
cord-248050-apjwnwky	179	1	then	then	ADV
cord-248050-apjwnwky	179	2	,	,	PUNCT
cord-248050-apjwnwky	179	3	eq	eq	PROPN
cord-248050-apjwnwky	179	4	.	.	PUNCT
cord-248050-apjwnwky	179	5	(	(	PUNCT
cord-248050-apjwnwky	179	6	s19	s19	PROPN
cord-248050-apjwnwky	179	7	)	)	PUNCT
cord-248050-apjwnwky	179	8	gives	give	VERB
cord-248050-apjwnwky	179	9	we	we	PRON
cord-248050-apjwnwky	179	10	can	can	AUX
cord-248050-apjwnwky	179	11	immediately	immediately	ADV
cord-248050-apjwnwky	179	12	read	read	VERB
cord-248050-apjwnwky	179	13	off	off	ADP
cord-248050-apjwnwky	179	14	the	the	DET
cord-248050-apjwnwky	179	15	solutions	solution	NOUN
cord-248050-apjwnwky	179	16	the	the	DET
cord-248050-apjwnwky	179	17	result	result	NOUN
cord-248050-apjwnwky	179	18	for	for	ADP
cord-248050-apjwnwky	179	19	λ	λ	PROPN
cord-248050-apjwnwky	179	20	1	1	NUM
cord-248050-apjwnwky	179	21	shows	show	VERB
cord-248050-apjwnwky	179	22	that	that	SCONJ
cord-248050-apjwnwky	179	23	the	the	DET
cord-248050-apjwnwky	179	24	initial	initial	ADJ
cord-248050-apjwnwky	179	25	state	state	NOUN
cord-248050-apjwnwky	179	26	still	still	ADV
cord-248050-apjwnwky	179	27	becomes	become	VERB
cord-248050-apjwnwky	179	28	unstable	unstable	ADJ
cord-248050-apjwnwky	179	29	for	for	ADP
cord-248050-apjwnwky	179	30	cs	cs	PROPN
cord-248050-apjwnwky	179	31	0	0	NUM
cord-248050-apjwnwky	179	32	>	>	PUNCT
cord-248050-apjwnwky	179	33	w	w	PROPN
cord-248050-apjwnwky	179	34	,	,	PUNCT
cord-248050-apjwnwky	179	35	i.e.	i.e.	X
cord-248050-apjwnwky	179	36	,	,	PUNCT
cord-248050-apjwnwky	179	37	the	the	DET
cord-248050-apjwnwky	179	38	interactions	interaction	NOUN
cord-248050-apjwnwky	179	39	can	can	AUX
cord-248050-apjwnwky	179	40	not	not	PART
cord-248050-apjwnwky	179	41	stabilize	stabilize	VERB
cord-248050-apjwnwky	179	42	a	a	DET
cord-248050-apjwnwky	179	43	state	state	NOUN
cord-248050-apjwnwky	179	44	without	without	ADP
cord-248050-apjwnwky	179	45	infected	infected	ADJ
cord-248050-apjwnwky	179	46	persons	person	NOUN
cord-248050-apjwnwky	179	47	that	that	PRON
cord-248050-apjwnwky	179	48	would	would	AUX
cord-248050-apjwnwky	179	49	be	be	AUX
cord-248050-apjwnwky	179	50	unstable	unstable	ADJ
cord-248050-apjwnwky	179	51	otherwise	otherwise	ADV
cord-248050-apjwnwky	179	52	.	.	PUNCT
cord-248050-apjwnwky	180	1	the	the	DET
cord-248050-apjwnwky	180	2	eigenvalues	eigenvalue	NOUN
cord-248050-apjwnwky	180	3	λ	λ	PROPN
cord-248050-apjwnwky	180	4	2	2	NUM
cord-248050-apjwnwky	180	5	and	and	CCONJ
cord-248050-apjwnwky	180	6	λ	λ	PROPN
cord-248050-apjwnwky	180	7	3	3	NUM
cord-248050-apjwnwky	180	8	,	,	PUNCT
cord-248050-apjwnwky	180	9	which	which	PRON
cord-248050-apjwnwky	180	10	were	be	AUX
cord-248050-apjwnwky	180	11	0	0	NUM
cord-248050-apjwnwky	180	12	in	in	ADP
cord-248050-apjwnwky	180	13	the	the	DET
cord-248050-apjwnwky	180	14	long	long	ADJ
cord-248050-apjwnwky	180	15	-	-	PUNCT
cord-248050-apjwnwky	180	16	wavelength	wavelength	NOUN
cord-248050-apjwnwky	180	17	limit	limit	NOUN
cord-248050-apjwnwky	180	18	,	,	PUNCT
cord-248050-apjwnwky	180	19	now	now	ADV
cord-248050-apjwnwky	180	20	describe	describe	VERB
cord-248050-apjwnwky	180	21	the	the	DET
cord-248050-apjwnwky	180	22	dispersion	dispersion	NOUN
cord-248050-apjwnwky	180	23	due	due	ADP
cord-248050-apjwnwky	180	24	to	to	ADP
cord-248050-apjwnwky	180	25	interparticle	interparticle	NOUN
cord-248050-apjwnwky	180	26	interactions	interaction	NOUN
cord-248050-apjwnwky	180	27	that	that	PRON
cord-248050-apjwnwky	180	28	may	may	AUX
cord-248050-apjwnwky	180	29	lead	lead	VERB
cord-248050-apjwnwky	180	30	to	to	ADP
cord-248050-apjwnwky	180	31	instabilities	instability	NOUN
cord-248050-apjwnwky	180	32	not	not	PART
cord-248050-apjwnwky	180	33	related	relate	VERB
cord-248050-apjwnwky	180	34	to	to	ADP
cord-248050-apjwnwky	180	35	disease	disease	NOUN
cord-248050-apjwnwky	180	36	outbreak	outbreak	NOUN
cord-248050-apjwnwky	180	37	.	.	PUNCT
cord-248050-apjwnwky	181	1	for	for	ADP
cord-248050-apjwnwky	181	2	determining	determine	VERB
cord-248050-apjwnwky	181	3	the	the	DET
cord-248050-apjwnwky	181	4	propagation	propagation	NOUN
cord-248050-apjwnwky	181	5	speed	speed	NOUN
cord-248050-apjwnwky	181	6	of	of	ADP
cord-248050-apjwnwky	181	7	fronts	front	NOUN
cord-248050-apjwnwky	181	8	,	,	PUNCT
cord-248050-apjwnwky	181	9	we	we	PRON
cord-248050-apjwnwky	181	10	can	can	AUX
cord-248050-apjwnwky	181	11	use	use	VERB
cord-248050-apjwnwky	181	12	the	the	DET
cord-248050-apjwnwky	181	13	marginal	marginal	ADJ
cord-248050-apjwnwky	181	14	stability	stability	NOUN
cord-248050-apjwnwky	181	15	hypothesis	hypothesis	NOUN
cord-248050-apjwnwky	181	16	[	[	X
cord-248050-apjwnwky	181	17	90	90	NUM
cord-248050-apjwnwky	181	18	]	]	PUNCT
cord-248050-apjwnwky	181	19	[	[	X
cord-248050-apjwnwky	181	20	91	91	NUM
cord-248050-apjwnwky	181	21	]	]	PUNCT
cord-248050-apjwnwky	182	1	[	[	X
cord-248050-apjwnwky	182	2	92	92	NUM
cord-248050-apjwnwky	182	3	]	]	PUNCT
cord-248050-apjwnwky	182	4	[	[	X
cord-248050-apjwnwky	182	5	93	93	NUM
cord-248050-apjwnwky	182	6	]	]	PUNCT
cord-248050-apjwnwky	182	7	[	[	X
cord-248050-apjwnwky	182	8	94	94	NUM
cord-248050-apjwnwky	182	9	]	]	PUNCT
cord-248050-apjwnwky	182	10	.	.	PUNCT
cord-248050-apjwnwky	183	1	we	we	PRON
cord-248050-apjwnwky	183	2	transform	transform	VERB
cord-248050-apjwnwky	183	3	to	to	ADP
cord-248050-apjwnwky	183	4	the	the	DET
cord-248050-apjwnwky	183	5	co	co	ADJ
cord-248050-apjwnwky	183	6	-	-	ADJ
cord-248050-apjwnwky	183	7	moving	moving	ADJ
cord-248050-apjwnwky	183	8	frame	frame	NOUN
cord-248050-apjwnwky	183	9	that	that	PRON
cord-248050-apjwnwky	183	10	has	have	VERB
cord-248050-apjwnwky	183	11	velocity	velocity	NOUN
cord-248050-apjwnwky	183	12	v	v	NOUN
cord-248050-apjwnwky	183	13	and	and	CCONJ
cord-248050-apjwnwky	183	14	assume	assume	VERB
cord-248050-apjwnwky	183	15	that	that	SCONJ
cord-248050-apjwnwky	183	16	the	the	DET
cord-248050-apjwnwky	183	17	growth	growth	NOUN
cord-248050-apjwnwky	183	18	rate	rate	NOUN
cord-248050-apjwnwky	183	19	in	in	ADP
cord-248050-apjwnwky	183	20	this	this	DET
cord-248050-apjwnwky	183	21	frame	frame	NOUN
cord-248050-apjwnwky	183	22	is	be	AUX
cord-248050-apjwnwky	183	23	zero	zero	NUM
cord-248050-apjwnwky	183	24	at	at	ADP
cord-248050-apjwnwky	183	25	the	the	DET
cord-248050-apjwnwky	183	26	leading	leading	ADJ
cord-248050-apjwnwky	183	27	edge	edge	NOUN
cord-248050-apjwnwky	183	28	.	.	PUNCT
cord-248050-apjwnwky	184	1	thereby	thereby	ADV
cord-248050-apjwnwky	184	2	,	,	PUNCT
cord-248050-apjwnwky	184	3	we	we	PRON
cord-248050-apjwnwky	184	4	obtain	obtain	VERB
cord-248050-apjwnwky	184	5	for	for	ADP
cord-248050-apjwnwky	184	6	a	a	DET
cord-248050-apjwnwky	184	7	general	general	ADJ
cord-248050-apjwnwky	184	8	dispersion	dispersion	NOUN
cord-248050-apjwnwky	184	9	λ(k	λ(k	PROPN
cord-248050-apjwnwky	184	10	)	)	PUNCT
cord-248050-apjwnwky	184	11	the	the	DET
cord-248050-apjwnwky	184	12	equations	equation	NOUN
cord-248050-apjwnwky	184	13	iv	iv	PROPN
cord-248050-apjwnwky	184	14	+	+	CCONJ
cord-248050-apjwnwky	185	1	dλ	dλ	NOUN
cord-248050-apjwnwky	186	1	dk	dk	PROPN
cord-248050-apjwnwky	186	2	=	=	PROPN
cord-248050-apjwnwky	186	3	0	0	NUM
cord-248050-apjwnwky	186	4	,	,	PUNCT
cord-248050-apjwnwky	186	5	the	the	DET
cord-248050-apjwnwky	186	6	solution	solution	NOUN
cord-248050-apjwnwky	186	7	of	of	ADP
cord-248050-apjwnwky	186	8	these	these	DET
cord-248050-apjwnwky	186	9	equations	equation	NOUN
cord-248050-apjwnwky	186	10	is	be	AUX
cord-248050-apjwnwky	186	11	which	which	PRON
cord-248050-apjwnwky	186	12	is	be	AUX
cord-248050-apjwnwky	186	13	in	in	ADP
cord-248050-apjwnwky	186	14	agreement	agreement	NOUN
cord-248050-apjwnwky	186	15	with	with	ADP
cord-248050-apjwnwky	186	16	results	result	NOUN
cord-248050-apjwnwky	186	17	from	from	ADP
cord-248050-apjwnwky	186	18	the	the	DET
cord-248050-apjwnwky	186	19	literature	literature	NOUN
cord-248050-apjwnwky	186	20	[	[	PUNCT
cord-248050-apjwnwky	186	21	35	35	NUM
cord-248050-apjwnwky	186	22	]	]	PUNCT
cord-248050-apjwnwky	186	23	.	.	PUNCT
cord-248050-apjwnwky	187	1	front	front	ADJ
cord-248050-apjwnwky	187	2	speeds	speed	NOUN
cord-248050-apjwnwky	187	3	for	for	ADP
cord-248050-apjwnwky	187	4	dispersions	dispersion	NOUN
cord-248050-apjwnwky	187	5	of	of	ADP
cord-248050-apjwnwky	187	6	the	the	DET
cord-248050-apjwnwky	187	7	form	form	NOUN
cord-248050-apjwnwky	187	8	(	(	PUNCT
cord-248050-apjwnwky	187	9	s25	s25	PROPN
cord-248050-apjwnwky	187	10	)	)	PUNCT
cord-248050-apjwnwky	187	11	and	and	CCONJ
cord-248050-apjwnwky	187	12	(	(	PUNCT
cord-248050-apjwnwky	187	13	s26	s26	NOUN
cord-248050-apjwnwky	187	14	)	)	PUNCT
cord-248050-apjwnwky	187	15	can	can	AUX
cord-248050-apjwnwky	187	16	be	be	AUX
cord-248050-apjwnwky	187	17	found	find	VERB
cord-248050-apjwnwky	187	18	in	in	ADP
cord-248050-apjwnwky	187	19	ref	ref	NOUN
cord-248050-apjwnwky	187	20	.	.	PUNCT
cord-248050-apjwnwky	188	1	[	[	X
cord-248050-apjwnwky	188	2	92	92	NUM
cord-248050-apjwnwky	188	3	]	]	PUNCT
cord-248050-apjwnwky	188	4	.	.	PUNCT
cord-248050-apjwnwky	189	1	*	*	PUNCT
cord-248050-apjwnwky	189	2	corresponding	correspond	VERB
cord-248050-apjwnwky	189	3	author	author	NOUN
cord-248050-apjwnwky	189	4	:	:	PUNCT
cord-248050-apjwnwky	189	5	raphael.wittkowski@uni	raphael.wittkowski@uni	NOUN
cord-248050-apjwnwky	189	6	-	-	PUNCT
cord-248050-apjwnwky	189	7	muenster	muenster	PROPN
cord-248050-apjwnwky	189	8	yersinia	yersinia	PROPN
cord-248050-apjwnwky	189	9	pestisetiologic	pestisetiologic	PROPN
cord-248050-apjwnwky	189	10	agent	agent	PROPN
cord-248050-apjwnwky	189	11	of	of	ADP
cord-248050-apjwnwky	189	12	plague	plague	PROPN
cord-248050-apjwnwky	189	13	plague	plague	PROPN
cord-248050-apjwnwky	189	14	spanish	spanish	PROPN
cord-248050-apjwnwky	189	15	flu	flu	PROPN
cord-248050-apjwnwky	189	16	outdid	outdo	VERB
cord-248050-apjwnwky	189	17	wwi	wwi	NOUN
cord-248050-apjwnwky	189	18	in	in	ADP
cord-248050-apjwnwky	189	19	number	number	NOUN
cord-248050-apjwnwky	189	20	of	of	ADP
cord-248050-apjwnwky	189	21	lives	life	NOUN
cord-248050-apjwnwky	189	22	claimed	claim	VERB
cord-248050-apjwnwky	189	23	oxford	oxford	PROPN
cord-248050-apjwnwky	189	24	textbook	textbook	NOUN
cord-248050-apjwnwky	189	25	of	of	ADP
cord-248050-apjwnwky	189	26	infectious	infectious	ADJ
cord-248050-apjwnwky	189	27	disease	disease	NOUN
cord-248050-apjwnwky	189	28	control	control	NOUN
cord-248050-apjwnwky	189	29	:	:	PUNCT
cord-248050-apjwnwky	189	30	a	a	DET
cord-248050-apjwnwky	189	31	geographical	geographical	ADJ
cord-248050-apjwnwky	189	32	analysis	analysis	NOUN
cord-248050-apjwnwky	189	33	from	from	ADP
cord-248050-apjwnwky	189	34	medieval	medieval	ADJ
cord-248050-apjwnwky	189	35	quarantine	quarantine	NOUN
cord-248050-apjwnwky	189	36	to	to	ADP
cord-248050-apjwnwky	189	37	global	global	ADJ
cord-248050-apjwnwky	189	38	eradication	eradication	NOUN
cord-248050-apjwnwky	189	39	a	a	DET
cord-248050-apjwnwky	189	40	new	new	ADJ
cord-248050-apjwnwky	189	41	coronavirus	coronavirus	NOUN
cord-248050-apjwnwky	189	42	associated	associate	VERB
cord-248050-apjwnwky	189	43	with	with	ADP
cord-248050-apjwnwky	189	44	human	human	ADJ
cord-248050-apjwnwky	189	45	respiratory	respiratory	ADJ
cord-248050-apjwnwky	189	46	disease	disease	NOUN
cord-248050-apjwnwky	189	47	in	in	ADP
cord-248050-apjwnwky	189	48	china	china	PROPN
cord-248050-apjwnwky	189	49	a	a	DET
cord-248050-apjwnwky	189	50	pneumonia	pneumonia	NOUN
cord-248050-apjwnwky	189	51	outbreak	outbreak	NOUN
cord-248050-apjwnwky	189	52	associated	associate	VERB
cord-248050-apjwnwky	189	53	with	with	ADP
cord-248050-apjwnwky	189	54	a	a	DET
cord-248050-apjwnwky	189	55	new	new	ADJ
cord-248050-apjwnwky	189	56	coronavirus	coronavirus	NOUN
cord-248050-apjwnwky	189	57	of	of	ADP
cord-248050-apjwnwky	189	58	probable	probable	ADJ
cord-248050-apjwnwky	189	59	bat	bat	NOUN
cord-248050-apjwnwky	189	60	origin	origin	NOUN
cord-248050-apjwnwky	189	61	origin	origin	NOUN
cord-248050-apjwnwky	189	62	and	and	CCONJ
cord-248050-apjwnwky	189	63	evolution	evolution	NOUN
cord-248050-apjwnwky	189	64	of	of	ADP
cord-248050-apjwnwky	189	65	pathogenic	pathogenic	ADJ
cord-248050-apjwnwky	189	66	coronaviruses	coronaviruse	NOUN
cord-248050-apjwnwky	189	67	a	a	DET
cord-248050-apjwnwky	189	68	novel	novel	ADJ
cord-248050-apjwnwky	189	69	coronavirus	coronavirus	NOUN
cord-248050-apjwnwky	189	70	outbreak	outbreak	NOUN
cord-248050-apjwnwky	189	71	of	of	ADP
cord-248050-apjwnwky	189	72	global	global	ADJ
cord-248050-apjwnwky	189	73	health	health	NOUN
cord-248050-apjwnwky	189	74	concern	concern	NOUN
cord-248050-apjwnwky	189	75	early	early	ADJ
cord-248050-apjwnwky	189	76	transmission	transmission	NOUN
cord-248050-apjwnwky	189	77	dynamics	dynamic	NOUN
cord-248050-apjwnwky	189	78	in	in	ADP
cord-248050-apjwnwky	189	79	wuhan	wuhan	PROPN
cord-248050-apjwnwky	189	80	,	,	PUNCT
cord-248050-apjwnwky	189	81	china	china	PROPN
cord-248050-apjwnwky	189	82	,	,	PUNCT
cord-248050-apjwnwky	189	83	of	of	ADP
cord-248050-apjwnwky	189	84	novel	novel	ADJ
cord-248050-apjwnwky	189	85	coronavirus	coronavirus	NOUN
cord-248050-apjwnwky	189	86	-	-	PUNCT
cord-248050-apjwnwky	189	87	infected	infect	VERB
cord-248050-apjwnwky	189	88	pneumonia	pneumonia	NOUN
cord-248050-apjwnwky	189	89	a	a	DET
cord-248050-apjwnwky	189	90	novel	novel	ADJ
cord-248050-apjwnwky	189	91	coronavirus	coronavirus	NOUN
cord-248050-apjwnwky	189	92	from	from	ADP
cord-248050-apjwnwky	189	93	patients	patient	NOUN
cord-248050-apjwnwky	189	94	with	with	ADP
cord-248050-apjwnwky	189	95	pneumonia	pneumonia	NOUN
cord-248050-apjwnwky	189	96	in	in	ADP
cord-248050-apjwnwky	189	97	china	china	PROPN
cord-248050-apjwnwky	189	98	substantial	substantial	ADJ
cord-248050-apjwnwky	189	99	undocumented	undocumented	ADJ
cord-248050-apjwnwky	189	100	infection	infection	NOUN
cord-248050-apjwnwky	189	101	facilitates	facilitate	VERB
cord-248050-apjwnwky	189	102	the	the	DET
cord-248050-apjwnwky	189	103	rapid	rapid	ADJ
cord-248050-apjwnwky	189	104	dissemination	dissemination	NOUN
cord-248050-apjwnwky	189	105	of	of	ADP
cord-248050-apjwnwky	189	106	novel	novel	NOUN
cord-248050-apjwnwky	189	107	coronavirus	coronavirus	NOUN
cord-248050-apjwnwky	189	108	(	(	PUNCT
cord-248050-apjwnwky	189	109	sars	sars	PROPN
cord-248050-apjwnwky	189	110	-	-	PUNCT
cord-248050-apjwnwky	189	111	cov2	cov2	PROPN
cord-248050-apjwnwky	189	112	)	)	PUNCT
cord-248050-apjwnwky	189	113	covid-19	covid-19	PROPN
cord-248050-apjwnwky	189	114	and	and	CCONJ
cord-248050-apjwnwky	189	115	rationally	rationally	ADV
cord-248050-apjwnwky	189	116	layered	layer	VERB
cord-248050-apjwnwky	189	117	social	social	ADJ
cord-248050-apjwnwky	189	118	distancing	distancing	NOUN
cord-248050-apjwnwky	189	119	pre	pre	ADJ
cord-248050-apjwnwky	189	120	-	-	ADJ
cord-248050-apjwnwky	189	121	symptomatic	symptomatic	ADJ
cord-248050-apjwnwky	189	122	transmission	transmission	NOUN
cord-248050-apjwnwky	189	123	in	in	ADP
cord-248050-apjwnwky	189	124	the	the	DET
cord-248050-apjwnwky	189	125	evolution	evolution	NOUN
cord-248050-apjwnwky	189	126	of	of	ADP
cord-248050-apjwnwky	189	127	the	the	DET
cord-248050-apjwnwky	189	128	covid-19	covid-19	PROPN
cord-248050-apjwnwky	189	129	pandemic	pandemic	ADJ
cord-248050-apjwnwky	189	130	impact	impact	NOUN
cord-248050-apjwnwky	189	131	of	of	ADP
cord-248050-apjwnwky	189	132	self	self	NOUN
cord-248050-apjwnwky	189	133	-	-	PUNCT
cord-248050-apjwnwky	189	134	imposed	impose	VERB
cord-248050-apjwnwky	189	135	prevention	prevention	NOUN
cord-248050-apjwnwky	189	136	measures	measure	NOUN
cord-248050-apjwnwky	189	137	and	and	CCONJ
cord-248050-apjwnwky	189	138	shortterm	shortterm	NOUN
cord-248050-apjwnwky	189	139	government	government	NOUN
cord-248050-apjwnwky	189	140	intervention	intervention	NOUN
cord-248050-apjwnwky	189	141	on	on	ADP
cord-248050-apjwnwky	189	142	mitigating	mitigate	VERB
cord-248050-apjwnwky	189	143	and	and	CCONJ
cord-248050-apjwnwky	189	144	delaying	delay	VERB
cord-248050-apjwnwky	189	145	a	a	DET
cord-248050-apjwnwky	189	146	covid-19	covid-19	PROPN
cord-248050-apjwnwky	189	147	epidemic	epidemic	NOUN
cord-248050-apjwnwky	189	148	impact	impact	NOUN
cord-248050-apjwnwky	189	149	of	of	ADP
cord-248050-apjwnwky	189	150	nonpharmaceutical	nonpharmaceutical	ADJ
cord-248050-apjwnwky	189	151	interventions	intervention	NOUN
cord-248050-apjwnwky	189	152	(	(	PUNCT
cord-248050-apjwnwky	189	153	npis	npis	PROPN
cord-248050-apjwnwky	189	154	)	)	PUNCT
cord-248050-apjwnwky	189	155	to	to	PART
cord-248050-apjwnwky	189	156	reduce	reduce	VERB
cord-248050-apjwnwky	189	157	covid-19	covid-19	PROPN
cord-248050-apjwnwky	189	158	mortality	mortality	NOUN
cord-248050-apjwnwky	189	159	and	and	CCONJ
cord-248050-apjwnwky	189	160	healthcare	healthcare	NOUN
cord-248050-apjwnwky	189	161	demand	demand	NOUN
cord-248050-apjwnwky	189	162	transmission	transmission	NOUN
cord-248050-apjwnwky	189	163	potential	potential	NOUN
cord-248050-apjwnwky	189	164	of	of	ADP
cord-248050-apjwnwky	189	165	the	the	DET
cord-248050-apjwnwky	189	166	novel	novel	NOUN
cord-248050-apjwnwky	189	167	coronavirus	coronavirus	NOUN
cord-248050-apjwnwky	189	168	(	(	PUNCT
cord-248050-apjwnwky	189	169	covid-19	covid-19	PROPN
cord-248050-apjwnwky	189	170	)	)	PUNCT
cord-248050-apjwnwky	189	171	onboard	onboard	ADP
cord-248050-apjwnwky	189	172	the	the	DET
cord-248050-apjwnwky	189	173	diamond	diamond	NOUN
cord-248050-apjwnwky	189	174	princess	princess	NOUN
cord-248050-apjwnwky	189	175	cruises	cruise	NOUN
cord-248050-apjwnwky	189	176	ship	ship	VERB
cord-248050-apjwnwky	189	177	the	the	DET
cord-248050-apjwnwky	189	178	positive	positive	ADJ
cord-248050-apjwnwky	189	179	impact	impact	NOUN
cord-248050-apjwnwky	189	180	of	of	ADP
cord-248050-apjwnwky	189	181	lockdown	lockdown	NOUN
cord-248050-apjwnwky	189	182	in	in	ADP
cord-248050-apjwnwky	189	183	wuhan	wuhan	PROPN
cord-248050-apjwnwky	189	184	on	on	ADP
cord-248050-apjwnwky	189	185	containing	contain	VERB
cord-248050-apjwnwky	189	186	the	the	DET
cord-248050-apjwnwky	189	187	covid-19	covid-19	PROPN
cord-248050-apjwnwky	189	188	outbreak	outbreak	NOUN
cord-248050-apjwnwky	189	189	in	in	ADP
cord-248050-apjwnwky	189	190	china	china	PROPN
cord-248050-apjwnwky	189	191	a	a	DET
cord-248050-apjwnwky	189	192	dynamical	dynamical	ADJ
cord-248050-apjwnwky	189	193	extension	extension	NOUN
cord-248050-apjwnwky	189	194	of	of	ADP
cord-248050-apjwnwky	189	195	the	the	DET
cord-248050-apjwnwky	189	196	density	density	NOUN
cord-248050-apjwnwky	189	197	functional	functional	ADJ
cord-248050-apjwnwky	189	198	theory	theory	NOUN
cord-248050-apjwnwky	189	199	dynamic	dynamic	ADJ
cord-248050-apjwnwky	189	200	density	density	NOUN
cord-248050-apjwnwky	189	201	functional	functional	ADJ
cord-248050-apjwnwky	189	202	theory	theory	NOUN
cord-248050-apjwnwky	189	203	of	of	ADP
cord-248050-apjwnwky	189	204	fluids	fluid	NOUN
cord-248050-apjwnwky	189	205	dynamical	dynamical	ADJ
cord-248050-apjwnwky	189	206	density	density	NOUN
cord-248050-apjwnwky	189	207	functional	functional	ADJ
cord-248050-apjwnwky	189	208	theory	theory	NOUN
cord-248050-apjwnwky	189	209	and	and	CCONJ
cord-248050-apjwnwky	189	210	its	its	PRON
cord-248050-apjwnwky	189	211	application	application	NOUN
cord-248050-apjwnwky	189	212	to	to	ADP
cord-248050-apjwnwky	189	213	spinodal	spinodal	ADJ
cord-248050-apjwnwky	189	214	decomposition	decomposition	NOUN
cord-248050-apjwnwky	189	215	nonlinear	nonlinear	ADJ
cord-248050-apjwnwky	189	216	diffusion	diffusion	NOUN
cord-248050-apjwnwky	189	217	and	and	CCONJ
cord-248050-apjwnwky	189	218	density	density	NOUN
cord-248050-apjwnwky	189	219	functional	functional	ADJ
cord-248050-apjwnwky	189	220	theory	theory	NOUN
cord-248050-apjwnwky	189	221	avalanche	avalanche	NOUN
cord-248050-apjwnwky	189	222	outbreaks	outbreak	NOUN
cord-248050-apjwnwky	189	223	emerging	emerge	VERB
cord-248050-apjwnwky	189	224	in	in	ADP
cord-248050-apjwnwky	189	225	cooperative	cooperative	ADJ
cord-248050-apjwnwky	189	226	contagions	contagion	NOUN
cord-248050-apjwnwky	189	227	evolution	evolution	NOUN
cord-248050-apjwnwky	189	228	and	and	CCONJ
cord-248050-apjwnwky	189	229	emergence	emergence	NOUN
cord-248050-apjwnwky	189	230	of	of	ADP
cord-248050-apjwnwky	189	231	infectious	infectious	ADJ
cord-248050-apjwnwky	189	232	diseases	disease	NOUN
cord-248050-apjwnwky	189	233	in	in	ADP
cord-248050-apjwnwky	189	234	theoretical	theoretical	ADJ
cord-248050-apjwnwky	189	235	and	and	CCONJ
cord-248050-apjwnwky	189	236	real	real	ADJ
cord-248050-apjwnwky	189	237	-	-	PUNCT
cord-248050-apjwnwky	189	238	world	world	NOUN
cord-248050-apjwnwky	189	239	networks	network	NOUN
cord-248050-apjwnwky	189	240	the	the	DET
cord-248050-apjwnwky	189	241	physics	physics	NOUN
cord-248050-apjwnwky	189	242	of	of	ADP
cord-248050-apjwnwky	189	243	spreading	spread	VERB
cord-248050-apjwnwky	189	244	processes	process	NOUN
cord-248050-apjwnwky	189	245	in	in	ADP
cord-248050-apjwnwky	189	246	multilayer	multilayer	ADJ
cord-248050-apjwnwky	189	247	networks	network	NOUN
cord-248050-apjwnwky	189	248	critical	critical	ADJ
cord-248050-apjwnwky	189	249	regimes	regime	NOUN
cord-248050-apjwnwky	189	250	driven	drive	VERB
cord-248050-apjwnwky	189	251	by	by	ADP
cord-248050-apjwnwky	189	252	recurrent	recurrent	ADJ
cord-248050-apjwnwky	189	253	mobility	mobility	NOUN
cord-248050-apjwnwky	189	254	patterns	pattern	NOUN
cord-248050-apjwnwky	189	255	of	of	ADP
cord-248050-apjwnwky	189	256	reaction	reaction	NOUN
cord-248050-apjwnwky	189	257	-	-	PUNCT
cord-248050-apjwnwky	189	258	diffusion	diffusion	NOUN
cord-248050-apjwnwky	189	259	processes	process	NOUN
cord-248050-apjwnwky	189	260	in	in	ADP
cord-248050-apjwnwky	189	261	networks	network	NOUN
cord-248050-apjwnwky	189	262	exact	exact	ADJ
cord-248050-apjwnwky	189	263	solution	solution	NOUN
cord-248050-apjwnwky	189	264	of	of	ADP
cord-248050-apjwnwky	189	265	generalized	generalized	ADJ
cord-248050-apjwnwky	189	266	cooperative	cooperative	ADJ
cord-248050-apjwnwky	189	267	susceptibleinfected	susceptibleinfecte	VERB
cord-248050-apjwnwky	189	268	-	-	PUNCT
cord-248050-apjwnwky	189	269	removed	remove	VERB
cord-248050-apjwnwky	189	270	(	(	PUNCT
cord-248050-apjwnwky	189	271	sir	sir	PROPN
cord-248050-apjwnwky	189	272	)	)	PUNCT
cord-248050-apjwnwky	189	273	dynamics	dynamic	NOUN
cord-248050-apjwnwky	189	274	markovian	markovian	ADJ
cord-248050-apjwnwky	189	275	approach	approach	NOUN
cord-248050-apjwnwky	189	276	to	to	PART
cord-248050-apjwnwky	189	277	tackle	tackle	VERB
cord-248050-apjwnwky	189	278	the	the	DET
cord-248050-apjwnwky	189	279	interaction	interaction	NOUN
cord-248050-apjwnwky	189	280	of	of	ADP
cord-248050-apjwnwky	189	281	simultaneous	simultaneous	ADJ
cord-248050-apjwnwky	189	282	diseases	disease	NOUN
cord-248050-apjwnwky	189	283	a	a	DET
cord-248050-apjwnwky	189	284	contribution	contribution	NOUN
cord-248050-apjwnwky	189	285	to	to	ADP
cord-248050-apjwnwky	189	286	the	the	DET
cord-248050-apjwnwky	189	287	mathematical	mathematical	ADJ
cord-248050-apjwnwky	189	288	theory	theory	NOUN
cord-248050-apjwnwky	189	289	of	of	ADP
cord-248050-apjwnwky	189	290	epidemics	epidemic	NOUN
cord-248050-apjwnwky	189	291	statistics	statistic	NOUN
cord-248050-apjwnwky	189	292	based	base	VERB
cord-248050-apjwnwky	189	293	predictions	prediction	NOUN
cord-248050-apjwnwky	189	294	of	of	ADP
cord-248050-apjwnwky	189	295	coronavirus	coronavirus	NOUN
cord-248050-apjwnwky	189	296	2019	2019	NUM
cord-248050-apjwnwky	189	297	-	-	PUNCT
cord-248050-apjwnwky	189	298	ncov	ncov	PROPN
cord-248050-apjwnwky	189	299	spreading	spread	VERB
cord-248050-apjwnwky	189	300	in	in	ADP
cord-248050-apjwnwky	189	301	mainland	mainland	NOUN
cord-248050-apjwnwky	189	302	china	china	PROPN
cord-248050-apjwnwky	189	303	a	a	DET
cord-248050-apjwnwky	189	304	simple	simple	ADJ
cord-248050-apjwnwky	189	305	stochastic	stochastic	NOUN
cord-248050-apjwnwky	189	306	sir	sir	NOUN
cord-248050-apjwnwky	189	307	model	model	NOUN
cord-248050-apjwnwky	189	308	for	for	ADP
cord-248050-apjwnwky	189	309	covid-19	covid-19	PROPN
cord-248050-apjwnwky	189	310	infection	infection	NOUN
cord-248050-apjwnwky	189	311	dynamics	dynamic	NOUN
cord-248050-apjwnwky	189	312	for	for	ADP
cord-248050-apjwnwky	189	313	karnataka	karnataka	PROPN
cord-248050-apjwnwky	189	314	:	:	PUNCT
cord-248050-apjwnwky	189	315	learning	learn	VERB
cord-248050-apjwnwky	189	316	from	from	ADP
cord-248050-apjwnwky	189	317	europe	europe	PROPN
cord-248050-apjwnwky	189	318	predicting	predict	VERB
cord-248050-apjwnwky	189	319	covid-19	covid-19	PROPN
cord-248050-apjwnwky	189	320	distribution	distribution	NOUN
cord-248050-apjwnwky	189	321	in	in	ADP
cord-248050-apjwnwky	189	322	mexico	mexico	PROPN
cord-248050-apjwnwky	189	323	through	through	ADP
cord-248050-apjwnwky	189	324	a	a	DET
cord-248050-apjwnwky	189	325	discrete	discrete	ADJ
cord-248050-apjwnwky	189	326	and	and	CCONJ
cord-248050-apjwnwky	189	327	time	time	NOUN
cord-248050-apjwnwky	189	328	-	-	PUNCT
cord-248050-apjwnwky	189	329	dependent	dependent	ADJ
cord-248050-apjwnwky	189	330	markov	markov	NOUN
cord-248050-apjwnwky	189	331	chain	chain	NOUN
cord-248050-apjwnwky	189	332	and	and	CCONJ
cord-248050-apjwnwky	189	333	an	an	DET
cord-248050-apjwnwky	189	334	sir	sir	NOUN
cord-248050-apjwnwky	189	335	-	-	PUNCT
cord-248050-apjwnwky	189	336	like	like	ADJ
cord-248050-apjwnwky	189	337	model	model	NOUN
cord-248050-apjwnwky	189	338	correlation	correlation	NOUN
cord-248050-apjwnwky	189	339	between	between	ADP
cord-248050-apjwnwky	189	340	travellers	traveller	NOUN
cord-248050-apjwnwky	189	341	departing	depart	VERB
cord-248050-apjwnwky	189	342	from	from	ADP
cord-248050-apjwnwky	189	343	wuhan	wuhan	PROPN
cord-248050-apjwnwky	189	344	before	before	ADP
cord-248050-apjwnwky	189	345	the	the	DET
cord-248050-apjwnwky	189	346	spring	spring	NOUN
cord-248050-apjwnwky	189	347	festival	festival	NOUN
cord-248050-apjwnwky	189	348	and	and	CCONJ
cord-248050-apjwnwky	189	349	subsequent	subsequent	ADJ
cord-248050-apjwnwky	189	350	spread	spread	NOUN
cord-248050-apjwnwky	189	351	of	of	ADP
cord-248050-apjwnwky	189	352	covid-19	covid-19	PROPN
cord-248050-apjwnwky	189	353	to	to	ADP
cord-248050-apjwnwky	189	354	all	all	DET
cord-248050-apjwnwky	189	355	provinces	province	NOUN
cord-248050-apjwnwky	189	356	in	in	ADP
cord-248050-apjwnwky	189	357	china	china	PROPN
cord-248050-apjwnwky	189	358	characterizing	characterize	VERB
cord-248050-apjwnwky	189	359	the	the	DET
cord-248050-apjwnwky	189	360	dynamics	dynamic	NOUN
cord-248050-apjwnwky	189	361	underlying	underlie	VERB
cord-248050-apjwnwky	189	362	global	global	ADJ
cord-248050-apjwnwky	189	363	spread	spread	NOUN
cord-248050-apjwnwky	189	364	of	of	ADP
cord-248050-apjwnwky	189	365	epidemics	epidemic	NOUN
cord-248050-apjwnwky	189	366	continuum	continuum	PROPN
cord-248050-apjwnwky	189	367	description	description	NOUN
cord-248050-apjwnwky	189	368	of	of	ADP
cord-248050-apjwnwky	189	369	a	a	DET
cord-248050-apjwnwky	189	370	contact	contact	NOUN
cord-248050-apjwnwky	189	371	infection	infection	NOUN
cord-248050-apjwnwky	189	372	spread	spread	VERB
cord-248050-apjwnwky	189	373	in	in	ADP
cord-248050-apjwnwky	189	374	a	a	DET
cord-248050-apjwnwky	189	375	sir	sir	NOUN
cord-248050-apjwnwky	189	376	model	model	NOUN
cord-248050-apjwnwky	189	377	infection	infection	NOUN
cord-248050-apjwnwky	189	378	fronts	front	NOUN
cord-248050-apjwnwky	189	379	in	in	ADP
cord-248050-apjwnwky	189	380	contact	contact	NOUN
cord-248050-apjwnwky	189	381	disease	disease	NOUN
cord-248050-apjwnwky	189	382	spread	spread	VERB
cord-248050-apjwnwky	189	383	natural	natural	ADJ
cord-248050-apjwnwky	189	384	human	human	ADJ
cord-248050-apjwnwky	189	385	mobility	mobility	NOUN
cord-248050-apjwnwky	189	386	patterns	pattern	NOUN
cord-248050-apjwnwky	189	387	and	and	CCONJ
cord-248050-apjwnwky	189	388	spatial	spatial	ADJ
cord-248050-apjwnwky	189	389	spread	spread	NOUN
cord-248050-apjwnwky	189	390	of	of	ADP
cord-248050-apjwnwky	189	391	infectious	infectious	ADJ
cord-248050-apjwnwky	189	392	diseases	disease	NOUN
cord-248050-apjwnwky	189	393	complex	complex	ADJ
cord-248050-apjwnwky	189	394	dynamics	dynamic	NOUN
cord-248050-apjwnwky	189	395	of	of	ADP
cord-248050-apjwnwky	189	396	a	a	DET
cord-248050-apjwnwky	189	397	reaction	reaction	NOUN
cord-248050-apjwnwky	189	398	-	-	PUNCT
cord-248050-apjwnwky	189	399	diffusion	diffusion	NOUN
cord-248050-apjwnwky	189	400	epidemic	epidemic	NOUN
cord-248050-apjwnwky	189	401	model	model	NOUN
cord-248050-apjwnwky	189	402	a	a	DET
cord-248050-apjwnwky	189	403	reaction	reaction	NOUN
cord-248050-apjwnwky	189	404	-	-	PUNCT
cord-248050-apjwnwky	189	405	diffusion	diffusion	NOUN
cord-248050-apjwnwky	189	406	system	system	NOUN
cord-248050-apjwnwky	189	407	modeling	model	VERB
cord-248050-apjwnwky	189	408	the	the	DET
cord-248050-apjwnwky	189	409	spread	spread	NOUN
cord-248050-apjwnwky	189	410	of	of	ADP
cord-248050-apjwnwky	189	411	resistance	resistance	NOUN
cord-248050-apjwnwky	189	412	to	to	ADP
cord-248050-apjwnwky	189	413	an	an	DET
cord-248050-apjwnwky	189	414	antimalarial	antimalarial	ADJ
cord-248050-apjwnwky	189	415	drug	drug	NOUN
cord-248050-apjwnwky	189	416	asymptotic	asymptotic	ADJ
cord-248050-apjwnwky	189	417	profiles	profile	NOUN
cord-248050-apjwnwky	189	418	of	of	ADP
cord-248050-apjwnwky	189	419	the	the	DET
cord-248050-apjwnwky	189	420	steady	steady	ADJ
cord-248050-apjwnwky	189	421	states	state	NOUN
cord-248050-apjwnwky	189	422	for	for	ADP
cord-248050-apjwnwky	189	423	an	an	DET
cord-248050-apjwnwky	189	424	sis	sis	NOUN
cord-248050-apjwnwky	189	425	epidemic	epidemic	NOUN
cord-248050-apjwnwky	189	426	reaction	reaction	NOUN
cord-248050-apjwnwky	189	427	-	-	PUNCT
cord-248050-apjwnwky	189	428	diffusion	diffusion	NOUN
cord-248050-apjwnwky	189	429	model	model	NOUN
cord-248050-apjwnwky	189	430	global	global	ADJ
cord-248050-apjwnwky	189	431	stability	stability	NOUN
cord-248050-apjwnwky	189	432	of	of	ADP
cord-248050-apjwnwky	189	433	the	the	DET
cord-248050-apjwnwky	189	434	steady	steady	ADJ
cord-248050-apjwnwky	189	435	states	state	NOUN
cord-248050-apjwnwky	189	436	of	of	ADP
cord-248050-apjwnwky	189	437	an	an	DET
cord-248050-apjwnwky	189	438	sis	sis	NOUN
cord-248050-apjwnwky	189	439	epidemic	epidemic	NOUN
cord-248050-apjwnwky	189	440	reaction	reaction	NOUN
cord-248050-apjwnwky	189	441	-	-	PUNCT
cord-248050-apjwnwky	189	442	diffusion	diffusion	NOUN
cord-248050-apjwnwky	189	443	model	model	NOUN
cord-248050-apjwnwky	189	444	a	a	DET
cord-248050-apjwnwky	189	445	sis	sis	NOUN
cord-248050-apjwnwky	189	446	reactiondiffusion	reactiondiffusion	NOUN
cord-248050-apjwnwky	189	447	-	-	PUNCT
cord-248050-apjwnwky	189	448	advection	advection	NOUN
cord-248050-apjwnwky	189	449	model	model	NOUN
cord-248050-apjwnwky	189	450	in	in	ADP
cord-248050-apjwnwky	189	451	a	a	DET
cord-248050-apjwnwky	189	452	low	low	ADJ
cord-248050-apjwnwky	189	453	-	-	PUNCT
cord-248050-apjwnwky	189	454	risk	risk	NOUN
cord-248050-apjwnwky	189	455	and	and	CCONJ
cord-248050-apjwnwky	189	456	high	high	ADJ
cord-248050-apjwnwky	189	457	-	-	PUNCT
cord-248050-apjwnwky	189	458	risk	risk	NOUN
cord-248050-apjwnwky	189	459	domain	domain	NOUN
cord-248050-apjwnwky	189	460	reaction	reaction	NOUN
cord-248050-apjwnwky	189	461	-	-	PUNCT
cord-248050-apjwnwky	189	462	diffusion	diffusion	NOUN
cord-248050-apjwnwky	189	463	processes	process	NOUN
cord-248050-apjwnwky	189	464	and	and	CCONJ
cord-248050-apjwnwky	189	465	metapopulation	metapopulation	NOUN
cord-248050-apjwnwky	189	466	models	model	NOUN
cord-248050-apjwnwky	189	467	in	in	ADP
cord-248050-apjwnwky	189	468	heterogeneous	heterogeneous	ADJ
cord-248050-apjwnwky	189	469	networks	network	NOUN
cord-248050-apjwnwky	189	470	exponential	exponential	NOUN
cord-248050-apjwnwky	189	471	stability	stability	NOUN
cord-248050-apjwnwky	189	472	of	of	ADP
cord-248050-apjwnwky	189	473	traveling	travel	VERB
cord-248050-apjwnwky	189	474	fronts	front	NOUN
cord-248050-apjwnwky	189	475	in	in	ADP
cord-248050-apjwnwky	189	476	a	a	DET
cord-248050-apjwnwky	189	477	diffusion	diffusion	NOUN
cord-248050-apjwnwky	189	478	epidemic	epidemic	NOUN
cord-248050-apjwnwky	189	479	system	system	NOUN
cord-248050-apjwnwky	189	480	with	with	ADP
cord-248050-apjwnwky	189	481	delay	delay	VERB
cord-248050-apjwnwky	189	482	a	a	DET
cord-248050-apjwnwky	189	483	fully	fully	ADV
cord-248050-apjwnwky	189	484	adaptive	adaptive	ADJ
cord-248050-apjwnwky	189	485	numerical	numerical	ADJ
cord-248050-apjwnwky	189	486	approximation	approximation	NOUN
cord-248050-apjwnwky	189	487	for	for	ADP
cord-248050-apjwnwky	189	488	a	a	DET
cord-248050-apjwnwky	189	489	two	two	NUM
cord-248050-apjwnwky	189	490	-	-	PUNCT
cord-248050-apjwnwky	189	491	dimensional	dimensional	ADJ
cord-248050-apjwnwky	189	492	epidemic	epidemic	NOUN
cord-248050-apjwnwky	189	493	model	model	NOUN
cord-248050-apjwnwky	189	494	with	with	ADP
cord-248050-apjwnwky	189	495	nonlinear	nonlinear	PROPN
cord-248050-apjwnwky	189	496	cross	cross	ADJ
cord-248050-apjwnwky	189	497	-	-	ADJ
cord-248050-apjwnwky	189	498	diffusion	diffusion	ADJ
cord-248050-apjwnwky	189	499	dynamical	dynamical	ADJ
cord-248050-apjwnwky	189	500	density	density	NOUN
cord-248050-apjwnwky	189	501	functional	functional	ADJ
cord-248050-apjwnwky	189	502	theory	theory	NOUN
cord-248050-apjwnwky	189	503	for	for	ADP
cord-248050-apjwnwky	189	504	interacting	interact	VERB
cord-248050-apjwnwky	189	505	brownian	brownian	ADJ
cord-248050-apjwnwky	189	506	particles	particle	NOUN
cord-248050-apjwnwky	189	507	:	:	PUNCT
cord-248050-apjwnwky	189	508	stochastic	stochastic	NOUN
cord-248050-apjwnwky	189	509	or	or	CCONJ
cord-248050-apjwnwky	189	510	deterministic	deterministic	ADJ
cord-248050-apjwnwky	189	511	?	?	PUNCT
cord-248050-apjwnwky	190	1	dynamical	dynamical	ADJ
cord-248050-apjwnwky	190	2	density	density	NOUN
cord-248050-apjwnwky	190	3	functional	functional	ADJ
cord-248050-apjwnwky	190	4	theory	theory	NOUN
cord-248050-apjwnwky	190	5	:	:	PUNCT
cord-248050-apjwnwky	190	6	binary	binary	ADJ
cord-248050-apjwnwky	190	7	phase	phase	NOUN
cord-248050-apjwnwky	190	8	-	-	PUNCT
cord-248050-apjwnwky	190	9	separating	separate	VERB
cord-248050-apjwnwky	190	10	colloidal	colloidal	ADJ
cord-248050-apjwnwky	190	11	fluid	fluid	NOUN
cord-248050-apjwnwky	190	12	in	in	ADP
cord-248050-apjwnwky	190	13	a	a	DET
cord-248050-apjwnwky	190	14	cavity	cavity	NOUN
cord-248050-apjwnwky	190	15	selectivity	selectivity	ADJ
cord-248050-apjwnwky	190	16	in	in	ADP
cord-248050-apjwnwky	190	17	binary	binary	ADJ
cord-248050-apjwnwky	190	18	fluid	fluid	NOUN
cord-248050-apjwnwky	190	19	mixtures	mixture	NOUN
cord-248050-apjwnwky	190	20	:	:	PUNCT
cord-248050-apjwnwky	190	21	static	static	ADJ
cord-248050-apjwnwky	190	22	and	and	CCONJ
cord-248050-apjwnwky	190	23	dynamical	dynamical	ADJ
cord-248050-apjwnwky	190	24	properties	property	NOUN
cord-248050-apjwnwky	190	25	extended	extend	VERB
cord-248050-apjwnwky	190	26	dynamical	dynamical	ADJ
cord-248050-apjwnwky	190	27	density	density	NOUN
cord-248050-apjwnwky	190	28	functional	functional	ADJ
cord-248050-apjwnwky	190	29	theory	theory	NOUN
cord-248050-apjwnwky	190	30	for	for	ADP
cord-248050-apjwnwky	190	31	colloidal	colloidal	ADJ
cord-248050-apjwnwky	190	32	mixtures	mixture	NOUN
cord-248050-apjwnwky	190	33	with	with	ADP
cord-248050-apjwnwky	190	34	temperature	temperature	NOUN
cord-248050-apjwnwky	190	35	gradients	gradient	NOUN
cord-248050-apjwnwky	190	36	multi	multi	ADJ
cord-248050-apjwnwky	190	37	-	-	ADJ
cord-248050-apjwnwky	190	38	species	species	ADJ
cord-248050-apjwnwky	190	39	dynamical	dynamical	ADJ
cord-248050-apjwnwky	190	40	density	density	NOUN
cord-248050-apjwnwky	190	41	functional	functional	ADJ
cord-248050-apjwnwky	190	42	theory	theory	NOUN
cord-248050-apjwnwky	190	43	derivation	derivation	NOUN
cord-248050-apjwnwky	190	44	of	of	ADP
cord-248050-apjwnwky	190	45	dynamical	dynamical	ADJ
cord-248050-apjwnwky	190	46	density	density	NOUN
cord-248050-apjwnwky	190	47	functional	functional	ADJ
cord-248050-apjwnwky	190	48	theory	theory	NOUN
cord-248050-apjwnwky	190	49	using	use	VERB
cord-248050-apjwnwky	190	50	the	the	DET
cord-248050-apjwnwky	190	51	projection	projection	NOUN
cord-248050-apjwnwky	190	52	operator	operator	NOUN
cord-248050-apjwnwky	190	53	technique	technique	NOUN
cord-248050-apjwnwky	190	54	projection	projection	NOUN
cord-248050-apjwnwky	190	55	operators	operator	NOUN
cord-248050-apjwnwky	190	56	in	in	ADP
cord-248050-apjwnwky	190	57	statistical	statistical	ADJ
cord-248050-apjwnwky	190	58	mechanics	mechanic	NOUN
cord-248050-apjwnwky	190	59	:	:	PUNCT
cord-248050-apjwnwky	190	60	a	a	DET
cord-248050-apjwnwky	190	61	pedagogical	pedagogical	ADJ
cord-248050-apjwnwky	190	62	approach	approach	NOUN
cord-248050-apjwnwky	190	63	mechanism	mechanism	NOUN
cord-248050-apjwnwky	190	64	for	for	ADP
cord-248050-apjwnwky	190	65	the	the	DET
cord-248050-apjwnwky	190	66	stabilization	stabilization	NOUN
cord-248050-apjwnwky	190	67	of	of	ADP
cord-248050-apjwnwky	190	68	protein	protein	NOUN
cord-248050-apjwnwky	190	69	clusters	cluster	NOUN
cord-248050-apjwnwky	190	70	above	above	ADP
cord-248050-apjwnwky	190	71	the	the	DET
cord-248050-apjwnwky	190	72	solubility	solubility	NOUN
cord-248050-apjwnwky	190	73	curve	curve	NOUN
cord-248050-apjwnwky	190	74	:	:	PUNCT
cord-248050-apjwnwky	190	75	the	the	DET
cord-248050-apjwnwky	190	76	role	role	NOUN
cord-248050-apjwnwky	190	77	of	of	ADP
cord-248050-apjwnwky	190	78	non	non	ADJ
cord-248050-apjwnwky	190	79	-	-	ADJ
cord-248050-apjwnwky	190	80	ideal	ideal	ADJ
cord-248050-apjwnwky	190	81	chemical	chemical	NOUN
cord-248050-apjwnwky	190	82	reactions	reaction	NOUN
cord-248050-apjwnwky	190	83	mechanism	mechanism	NOUN
cord-248050-apjwnwky	190	84	for	for	ADP
cord-248050-apjwnwky	190	85	the	the	DET
cord-248050-apjwnwky	190	86	stabilization	stabilization	NOUN
cord-248050-apjwnwky	190	87	of	of	ADP
cord-248050-apjwnwky	190	88	protein	protein	NOUN
cord-248050-apjwnwky	190	89	clusters	cluster	NOUN
cord-248050-apjwnwky	190	90	above	above	ADP
cord-248050-apjwnwky	190	91	the	the	DET
cord-248050-apjwnwky	190	92	solubility	solubility	PROPN
cord-248050-apjwnwky	190	93	curve	curve	PROPN
cord-248050-apjwnwky	190	94	development	development	NOUN
cord-248050-apjwnwky	190	95	of	of	ADP
cord-248050-apjwnwky	190	96	reaction	reaction	NOUN
cord-248050-apjwnwky	190	97	-	-	PUNCT
cord-248050-apjwnwky	190	98	diffusion	diffusion	NOUN
cord-248050-apjwnwky	190	99	dft	dft	NOUN
cord-248050-apjwnwky	190	100	and	and	CCONJ
cord-248050-apjwnwky	190	101	its	its	PRON
cord-248050-apjwnwky	190	102	application	application	NOUN
cord-248050-apjwnwky	190	103	to	to	ADP
cord-248050-apjwnwky	190	104	catalytic	catalytic	ADJ
cord-248050-apjwnwky	190	105	oxidation	oxidation	NOUN
cord-248050-apjwnwky	190	106	of	of	ADP
cord-248050-apjwnwky	190	107	no	no	PRON
cord-248050-apjwnwky	190	108	in	in	ADP
cord-248050-apjwnwky	190	109	porous	porous	ADJ
cord-248050-apjwnwky	190	110	materials	material	NOUN
cord-248050-apjwnwky	190	111	density	density	NOUN
cord-248050-apjwnwky	190	112	-	-	PUNCT
cord-248050-apjwnwky	190	113	functional	functional	ADJ
cord-248050-apjwnwky	190	114	fluctuation	fluctuation	NOUN
cord-248050-apjwnwky	190	115	theory	theory	NOUN
cord-248050-apjwnwky	190	116	of	of	ADP
cord-248050-apjwnwky	190	117	crowds	crowd	NOUN
cord-248050-apjwnwky	190	118	dynamic	dynamic	ADJ
cord-248050-apjwnwky	190	119	density	density	NOUN
cord-248050-apjwnwky	190	120	functional	functional	ADJ
cord-248050-apjwnwky	190	121	theory	theory	NOUN
cord-248050-apjwnwky	190	122	of	of	ADP
cord-248050-apjwnwky	190	123	solid	solid	ADJ
cord-248050-apjwnwky	190	124	tumor	tumor	NOUN
cord-248050-apjwnwky	190	125	growth	growth	NOUN
cord-248050-apjwnwky	190	126	:	:	PUNCT
cord-248050-apjwnwky	190	127	preliminary	preliminary	ADJ
cord-248050-apjwnwky	190	128	models	model	NOUN
cord-248050-apjwnwky	190	129	dynamical	dynamical	ADJ
cord-248050-apjwnwky	190	130	density	density	NOUN
cord-248050-apjwnwky	190	131	-	-	PUNCT
cord-248050-apjwnwky	190	132	functional	functional	ADJ
cord-248050-apjwnwky	190	133	-	-	PUNCT
cord-248050-apjwnwky	190	134	theory	theory	NOUN
cord-248050-apjwnwky	190	135	-	-	PUNCT
cord-248050-apjwnwky	190	136	based	base	VERB
cord-248050-apjwnwky	190	137	modeling	modeling	NOUN
cord-248050-apjwnwky	190	138	of	of	ADP
cord-248050-apjwnwky	190	139	tissue	tissue	NOUN
cord-248050-apjwnwky	190	140	dynamics	dynamic	NOUN
cord-248050-apjwnwky	190	141	:	:	PUNCT
cord-248050-apjwnwky	190	142	application	application	NOUN
cord-248050-apjwnwky	190	143	to	to	ADP
cord-248050-apjwnwky	190	144	tumor	tumor	NOUN
cord-248050-apjwnwky	190	145	growth	growth	NOUN
cord-248050-apjwnwky	190	146	kinetics	kinetic	NOUN
cord-248050-apjwnwky	190	147	and	and	CCONJ
cord-248050-apjwnwky	190	148	thermodynamics	thermodynamic	NOUN
cord-248050-apjwnwky	190	149	of	of	ADP
cord-248050-apjwnwky	190	150	protein	protein	NOUN
cord-248050-apjwnwky	190	151	adsorption	adsorption	NOUN
cord-248050-apjwnwky	190	152	:	:	PUNCT
cord-248050-apjwnwky	190	153	a	a	DET
cord-248050-apjwnwky	190	154	generalized	generalized	ADJ
cord-248050-apjwnwky	190	155	molecular	molecular	ADJ
cord-248050-apjwnwky	190	156	theoretical	theoretical	ADJ
cord-248050-apjwnwky	190	157	approach	approach	NOUN
cord-248050-apjwnwky	190	158	competitive	competitive	ADJ
cord-248050-apjwnwky	190	159	adsorption	adsorption	NOUN
cord-248050-apjwnwky	190	160	in	in	ADP
cord-248050-apjwnwky	190	161	model	model	NOUN
cord-248050-apjwnwky	190	162	charged	charge	VERB
cord-248050-apjwnwky	190	163	protein	protein	NOUN
cord-248050-apjwnwky	190	164	mixtures	mixture	NOUN
cord-248050-apjwnwky	190	165	:	:	PUNCT
cord-248050-apjwnwky	190	166	equilibrium	equilibrium	NOUN
cord-248050-apjwnwky	190	167	isotherms	isotherm	NOUN
cord-248050-apjwnwky	190	168	and	and	CCONJ
cord-248050-apjwnwky	190	169	kinetics	kinetic	NOUN
cord-248050-apjwnwky	190	170	behavior	behavior	NOUN
cord-248050-apjwnwky	190	171	dynamic	dynamic	ADJ
cord-248050-apjwnwky	190	172	density	density	NOUN
cord-248050-apjwnwky	190	173	functional	functional	ADJ
cord-248050-apjwnwky	190	174	theory	theory	NOUN
cord-248050-apjwnwky	190	175	of	of	ADP
cord-248050-apjwnwky	190	176	protein	protein	NOUN
cord-248050-apjwnwky	190	177	adsorption	adsorption	NOUN
cord-248050-apjwnwky	190	178	on	on	ADP
cord-248050-apjwnwky	190	179	polymer	polymer	NOUN
cord-248050-apjwnwky	190	180	-	-	PUNCT
cord-248050-apjwnwky	190	181	coated	coat	VERB
cord-248050-apjwnwky	190	182	nanoparticles	nanoparticle	NOUN
cord-248050-apjwnwky	190	183	competitive	competitive	ADJ
cord-248050-apjwnwky	190	184	adsorption	adsorption	NOUN
cord-248050-apjwnwky	190	185	of	of	ADP
cord-248050-apjwnwky	190	186	multiple	multiple	ADJ
cord-248050-apjwnwky	190	187	proteins	protein	NOUN
cord-248050-apjwnwky	190	188	to	to	ADP
cord-248050-apjwnwky	190	189	nanoparticles	nanoparticle	NOUN
cord-248050-apjwnwky	190	190	:	:	PUNCT
cord-248050-apjwnwky	190	191	the	the	DET
cord-248050-apjwnwky	190	192	vroman	vroman	NOUN
cord-248050-apjwnwky	190	193	effect	effect	NOUN
cord-248050-apjwnwky	190	194	revisited	revisit	VERB
cord-248050-apjwnwky	190	195	optimizing	optimize	VERB
cord-248050-apjwnwky	190	196	the	the	DET
cord-248050-apjwnwky	190	197	search	search	NOUN
cord-248050-apjwnwky	190	198	for	for	ADP
cord-248050-apjwnwky	190	199	resources	resource	NOUN
cord-248050-apjwnwky	190	200	by	by	ADP
cord-248050-apjwnwky	190	201	sharing	share	VERB
cord-248050-apjwnwky	190	202	information	information	NOUN
cord-248050-apjwnwky	190	203	:	:	PUNCT
cord-248050-apjwnwky	190	204	mongolian	mongolian	ADJ
cord-248050-apjwnwky	190	205	gazelles	gazelle	NOUN
cord-248050-apjwnwky	190	206	as	as	ADP
cord-248050-apjwnwky	190	207	a	a	DET
cord-248050-apjwnwky	190	208	case	case	NOUN
cord-248050-apjwnwky	190	209	study	study	NOUN
cord-248050-apjwnwky	190	210	aggregation	aggregation	NOUN
cord-248050-apjwnwky	190	211	of	of	ADP
cord-248050-apjwnwky	190	212	selfpropelled	selfpropelled	ADJ
cord-248050-apjwnwky	190	213	colloidal	colloidal	ADJ
cord-248050-apjwnwky	190	214	rods	rod	NOUN
cord-248050-apjwnwky	190	215	near	near	ADP
cord-248050-apjwnwky	190	216	confining	confine	VERB
cord-248050-apjwnwky	190	217	walls	wall	NOUN
cord-248050-apjwnwky	190	218	dynamical	dynamical	ADJ
cord-248050-apjwnwky	190	219	density	density	NOUN
cord-248050-apjwnwky	190	220	functional	functional	ADJ
cord-248050-apjwnwky	190	221	theory	theory	NOUN
cord-248050-apjwnwky	190	222	for	for	ADP
cord-248050-apjwnwky	190	223	colloidal	colloidal	ADJ
cord-248050-apjwnwky	190	224	particles	particle	NOUN
cord-248050-apjwnwky	190	225	with	with	ADP
cord-248050-apjwnwky	190	226	arbitrary	arbitrary	ADJ
cord-248050-apjwnwky	190	227	shape	shape	NOUN
cord-248050-apjwnwky	190	228	dynamical	dynamical	ADJ
cord-248050-apjwnwky	190	229	density	density	NOUN
cord-248050-apjwnwky	190	230	functional	functional	ADJ
cord-248050-apjwnwky	190	231	theory	theory	NOUN
cord-248050-apjwnwky	190	232	for	for	ADP
cord-248050-apjwnwky	190	233	microswimmers	microswimmer	NOUN
cord-248050-apjwnwky	190	234	dynamical	dynamical	ADJ
cord-248050-apjwnwky	190	235	density	density	NOUN
cord-248050-apjwnwky	190	236	functional	functional	ADJ
cord-248050-apjwnwky	190	237	theory	theory	NOUN
cord-248050-apjwnwky	190	238	for	for	ADP
cord-248050-apjwnwky	190	239	circle	circle	NOUN
cord-248050-apjwnwky	190	240	swimmers	swimmer	NOUN
cord-248050-apjwnwky	190	241	particle	particle	NOUN
cord-248050-apjwnwky	190	242	-	-	PUNCT
cord-248050-apjwnwky	190	243	scale	scale	NOUN
cord-248050-apjwnwky	190	244	statistical	statistical	ADJ
cord-248050-apjwnwky	190	245	theory	theory	NOUN
cord-248050-apjwnwky	190	246	for	for	ADP
cord-248050-apjwnwky	190	247	hydrodynamically	hydrodynamically	PROPN
cord-248050-apjwnwky	190	248	induced	induce	VERB
cord-248050-apjwnwky	190	249	polar	polar	ADJ
cord-248050-apjwnwky	190	250	ordering	ordering	NOUN
cord-248050-apjwnwky	190	251	in	in	ADP
cord-248050-apjwnwky	190	252	microswimmer	microswimmer	NOUN
cord-248050-apjwnwky	190	253	suspensions	suspensions	PROPN
cord-248050-apjwnwky	190	254	multi	multi	ADJ
cord-248050-apjwnwky	190	255	-	-	ADJ
cord-248050-apjwnwky	190	256	species	species	ADJ
cord-248050-apjwnwky	190	257	dynamical	dynamical	ADJ
cord-248050-apjwnwky	190	258	density	density	NOUN
cord-248050-apjwnwky	190	259	functional	functional	ADJ
cord-248050-apjwnwky	190	260	theory	theory	NOUN
cord-248050-apjwnwky	190	261	for	for	ADP
cord-248050-apjwnwky	190	262	microswimmers	microswimmer	NOUN
cord-248050-apjwnwky	190	263	:	:	PUNCT
cord-248050-apjwnwky	190	264	derivation	derivation	NOUN
cord-248050-apjwnwky	190	265	,	,	PUNCT
cord-248050-apjwnwky	190	266	orientational	orientational	ADJ
cord-248050-apjwnwky	190	267	ordering	ordering	NOUN
cord-248050-apjwnwky	190	268	,	,	PUNCT
cord-248050-apjwnwky	190	269	trapping	trap	VERB
cord-248050-apjwnwky	190	270	potentials	potential	NOUN
cord-248050-apjwnwky	190	271	,	,	PUNCT
cord-248050-apjwnwky	190	272	and	and	CCONJ
cord-248050-apjwnwky	190	273	shear	shear	NOUN
cord-248050-apjwnwky	190	274	cells	cell	NOUN
cord-248050-apjwnwky	190	275	active	active	ADJ
cord-248050-apjwnwky	190	276	colloidal	colloidal	ADJ
cord-248050-apjwnwky	190	277	suspensions	suspension	NOUN
cord-248050-apjwnwky	190	278	exhibit	exhibit	VERB
cord-248050-apjwnwky	190	279	polar	polar	ADJ
cord-248050-apjwnwky	190	280	order	order	NOUN
cord-248050-apjwnwky	190	281	under	under	ADP
cord-248050-apjwnwky	190	282	gravity	gravity	NOUN
cord-248050-apjwnwky	190	283	active	active	ADJ
cord-248050-apjwnwky	190	284	brownian	brownian	ADJ
cord-248050-apjwnwky	190	285	particles	particle	NOUN
cord-248050-apjwnwky	190	286	in	in	ADP
cord-248050-apjwnwky	190	287	two	two	NUM
cord-248050-apjwnwky	190	288	-	-	PUNCT
cord-248050-apjwnwky	190	289	dimensional	dimensional	ADJ
cord-248050-apjwnwky	190	290	traps	trap	NOUN
cord-248050-apjwnwky	190	291	active	active	ADJ
cord-248050-apjwnwky	190	292	crystals	crystal	NOUN
cord-248050-apjwnwky	190	293	and	and	CCONJ
cord-248050-apjwnwky	190	294	their	their	PRON
cord-248050-apjwnwky	190	295	stability	stability	NOUN
cord-248050-apjwnwky	190	296	active	active	ADJ
cord-248050-apjwnwky	190	297	brownian	brownian	ADJ
cord-248050-apjwnwky	190	298	particles	particle	NOUN
cord-248050-apjwnwky	190	299	at	at	ADP
cord-248050-apjwnwky	190	300	interfaces	interface	NOUN
cord-248050-apjwnwky	190	301	:	:	PUNCT
cord-248050-apjwnwky	190	302	an	an	DET
cord-248050-apjwnwky	190	303	effective	effective	ADJ
cord-248050-apjwnwky	190	304	equilibrium	equilibrium	NOUN
cord-248050-apjwnwky	190	305	approach	approach	NOUN
cord-248050-apjwnwky	190	306	effective	effective	ADJ
cord-248050-apjwnwky	190	307	equilibrium	equilibrium	NOUN
cord-248050-apjwnwky	190	308	states	state	NOUN
cord-248050-apjwnwky	190	309	in	in	ADP
cord-248050-apjwnwky	190	310	the	the	DET
cord-248050-apjwnwky	190	311	colored	color	VERB
cord-248050-apjwnwky	190	312	-	-	PUNCT
cord-248050-apjwnwky	190	313	noise	noise	NOUN
cord-248050-apjwnwky	190	314	model	model	NOUN
cord-248050-apjwnwky	190	315	for	for	ADP
cord-248050-apjwnwky	190	316	active	active	ADJ
cord-248050-apjwnwky	190	317	matter	matter	NOUN
cord-248050-apjwnwky	190	318	i.	i.	PROPN
cord-248050-apjwnwky	190	319	pairwise	pairwise	PROPN
cord-248050-apjwnwky	190	320	forces	force	NOUN
cord-248050-apjwnwky	190	321	in	in	ADP
cord-248050-apjwnwky	190	322	the	the	DET
cord-248050-apjwnwky	190	323	fox	fox	NOUN
cord-248050-apjwnwky	190	324	and	and	CCONJ
cord-248050-apjwnwky	190	325	unified	unified	ADJ
cord-248050-apjwnwky	190	326	colored	color	VERB
cord-248050-apjwnwky	190	327	noise	noise	NOUN
cord-248050-apjwnwky	190	328	approximations	approximation	NOUN
cord-248050-apjwnwky	190	329	effective	effective	ADJ
cord-248050-apjwnwky	190	330	equilibrium	equilibrium	NOUN
cord-248050-apjwnwky	190	331	states	state	NOUN
cord-248050-apjwnwky	190	332	in	in	ADP
cord-248050-apjwnwky	190	333	the	the	DET
cord-248050-apjwnwky	190	334	colorednoise	colorednoise	NOUN
cord-248050-apjwnwky	190	335	model	model	NOUN
cord-248050-apjwnwky	190	336	for	for	ADP
cord-248050-apjwnwky	190	337	active	active	ADJ
cord-248050-apjwnwky	190	338	matter	matter	PROPN
cord-248050-apjwnwky	190	339	ii	ii	PROPN
cord-248050-apjwnwky	190	340	.	.	PUNCT
cord-248050-apjwnwky	191	1	a	a	DET
cord-248050-apjwnwky	191	2	unified	unified	ADJ
cord-248050-apjwnwky	191	3	framework	framework	NOUN
cord-248050-apjwnwky	191	4	for	for	ADP
cord-248050-apjwnwky	191	5	phase	phase	NOUN
cord-248050-apjwnwky	191	6	equilibria	equilibrium	NOUN
cord-248050-apjwnwky	191	7	,	,	PUNCT
cord-248050-apjwnwky	191	8	structure	structure	NOUN
cord-248050-apjwnwky	191	9	and	and	CCONJ
cord-248050-apjwnwky	191	10	mechanical	mechanical	ADJ
cord-248050-apjwnwky	191	11	properties	property	NOUN
cord-248050-apjwnwky	191	12	effective	effective	ADJ
cord-248050-apjwnwky	191	13	interactions	interaction	NOUN
cord-248050-apjwnwky	191	14	in	in	ADP
cord-248050-apjwnwky	191	15	active	active	ADJ
cord-248050-apjwnwky	191	16	brownian	brownian	ADJ
cord-248050-apjwnwky	191	17	suspensions	suspension	NOUN
cord-248050-apjwnwky	191	18	the	the	DET
cord-248050-apjwnwky	191	19	five	five	NUM
cord-248050-apjwnwky	191	20	problems	problem	NOUN
cord-248050-apjwnwky	191	21	of	of	ADP
cord-248050-apjwnwky	191	22	irreversibility	irreversibility	NOUN
cord-248050-apjwnwky	191	23	particleconserving	particleconserve	VERB
cord-248050-apjwnwky	191	24	dynamics	dynamic	NOUN
cord-248050-apjwnwky	191	25	on	on	ADP
cord-248050-apjwnwky	191	26	the	the	DET
cord-248050-apjwnwky	191	27	single	single	ADJ
cord-248050-apjwnwky	191	28	-	-	PUNCT
cord-248050-apjwnwky	191	29	particle	particle	NOUN
cord-248050-apjwnwky	191	30	level	level	NOUN
cord-248050-apjwnwky	191	31	on	on	ADP
cord-248050-apjwnwky	191	32	quantum	quantum	NOUN
cord-248050-apjwnwky	191	33	theory	theory	NOUN
cord-248050-apjwnwky	191	34	of	of	ADP
cord-248050-apjwnwky	191	35	transport	transport	NOUN
cord-248050-apjwnwky	191	36	phenomena	phenomena	NOUN
cord-248050-apjwnwky	191	37	:	:	PUNCT
cord-248050-apjwnwky	191	38	steady	steady	ADJ
cord-248050-apjwnwky	191	39	diffusion	diffusion	NOUN
cord-248050-apjwnwky	191	40	transport	transport	NOUN
cord-248050-apjwnwky	191	41	,	,	PUNCT
cord-248050-apjwnwky	191	42	collective	collective	ADJ
cord-248050-apjwnwky	191	43	motion	motion	NOUN
cord-248050-apjwnwky	191	44	,	,	PUNCT
cord-248050-apjwnwky	191	45	and	and	CCONJ
cord-248050-apjwnwky	191	46	brownian	brownian	ADJ
cord-248050-apjwnwky	191	47	motion	motion	NOUN
cord-248050-apjwnwky	191	48	ensemble	ensemble	ADJ
cord-248050-apjwnwky	191	49	method	method	NOUN
cord-248050-apjwnwky	191	50	in	in	ADP
cord-248050-apjwnwky	191	51	the	the	DET
cord-248050-apjwnwky	191	52	theory	theory	NOUN
cord-248050-apjwnwky	191	53	of	of	ADP
cord-248050-apjwnwky	191	54	irreversibility	irreversibility	NOUN
cord-248050-apjwnwky	191	55	projection	projection	NOUN
cord-248050-apjwnwky	191	56	operator	operator	NOUN
cord-248050-apjwnwky	191	57	techniques	technique	NOUN
cord-248050-apjwnwky	191	58	in	in	ADP
cord-248050-apjwnwky	191	59	nonequilibrium	nonequilibrium	NOUN
cord-248050-apjwnwky	191	60	statistical	statistical	ADJ
cord-248050-apjwnwky	191	61	mechanics	mechanic	NOUN
cord-248050-apjwnwky	191	62	mori	mori	PROPN
cord-248050-apjwnwky	191	63	-	-	PUNCT
cord-248050-apjwnwky	191	64	zwanzig	zwanzig	NOUN
cord-248050-apjwnwky	191	65	projection	projection	NOUN
cord-248050-apjwnwky	191	66	operator	operator	NOUN
cord-248050-apjwnwky	191	67	formalism	formalism	NOUN
cord-248050-apjwnwky	191	68	for	for	ADP
cord-248050-apjwnwky	191	69	far	far	ADJ
cord-248050-apjwnwky	191	70	-	-	PUNCT
cord-248050-apjwnwky	191	71	from	from	ADP
cord-248050-apjwnwky	191	72	-	-	PUNCT
cord-248050-apjwnwky	191	73	equilibrium	equilibrium	NOUN
cord-248050-apjwnwky	191	74	systems	system	NOUN
cord-248050-apjwnwky	191	75	with	with	ADP
cord-248050-apjwnwky	191	76	time	time	NOUN
cord-248050-apjwnwky	191	77	-	-	PUNCT
cord-248050-apjwnwky	191	78	dependent	dependent	ADJ
cord-248050-apjwnwky	191	79	hamiltonians	hamiltonian	NOUN
cord-248050-apjwnwky	191	80	microscopic	microscopic	ADJ
cord-248050-apjwnwky	191	81	derivation	derivation	NOUN
cord-248050-apjwnwky	191	82	of	of	ADP
cord-248050-apjwnwky	191	83	time	time	NOUN
cord-248050-apjwnwky	191	84	-	-	PUNCT
cord-248050-apjwnwky	191	85	dependent	dependent	ADJ
cord-248050-apjwnwky	191	86	density	density	NOUN
cord-248050-apjwnwky	191	87	functional	functional	ADJ
cord-248050-apjwnwky	191	88	methods	method	NOUN
cord-248050-apjwnwky	191	89	investigation	investigation	NOUN
cord-248050-apjwnwky	191	90	of	of	ADP
cord-248050-apjwnwky	191	91	epidemic	epidemic	NOUN
cord-248050-apjwnwky	191	92	spreading	spread	VERB
cord-248050-apjwnwky	191	93	process	process	NOUN
cord-248050-apjwnwky	191	94	on	on	ADP
cord-248050-apjwnwky	191	95	multiplex	multiplex	ADJ
cord-248050-apjwnwky	191	96	networks	network	NOUN
cord-248050-apjwnwky	191	97	by	by	ADP
cord-248050-apjwnwky	191	98	incorporating	incorporate	VERB
cord-248050-apjwnwky	191	99	fatal	fatal	ADJ
cord-248050-apjwnwky	191	100	properties	property	NOUN
cord-248050-apjwnwky	191	101	a	a	DET
cord-248050-apjwnwky	191	102	simple	simple	ADJ
cord-248050-apjwnwky	191	103	mathematical	mathematical	ADJ
cord-248050-apjwnwky	191	104	model	model	NOUN
cord-248050-apjwnwky	191	105	for	for	ADP
cord-248050-apjwnwky	191	106	ebola	ebola	PROPN
cord-248050-apjwnwky	191	107	in	in	ADP
cord-248050-apjwnwky	191	108	africa	africa	PROPN
cord-248050-apjwnwky	191	109	should	should	AUX
cord-248050-apjwnwky	191	110	,	,	PUNCT
cord-248050-apjwnwky	191	111	and	and	CCONJ
cord-248050-apjwnwky	191	112	how	how	SCONJ
cord-248050-apjwnwky	191	113	can	can	AUX
cord-248050-apjwnwky	191	114	,	,	PUNCT
cord-248050-apjwnwky	191	115	exercise	exercise	VERB
cord-248050-apjwnwky	191	116	be	be	AUX
cord-248050-apjwnwky	191	117	done	do	VERB
cord-248050-apjwnwky	191	118	during	during	ADP
cord-248050-apjwnwky	191	119	a	a	DET
cord-248050-apjwnwky	191	120	coronavirus	coronavirus	NOUN
cord-248050-apjwnwky	191	121	outbreak	outbreak	NOUN
cord-248050-apjwnwky	191	122	?	?	PUNCT
cord-248050-apjwnwky	192	1	an	an	DET
cord-248050-apjwnwky	192	2	interview	interview	NOUN
cord-248050-apjwnwky	192	3	with	with	ADP
cord-248050-apjwnwky	192	4	dr	dr	PROPN
cord-248050-apjwnwky	192	5	.	.	PROPN
cord-248050-apjwnwky	192	6	jeffrey	jeffrey	PROPN
cord-248050-apjwnwky	192	7	a.	a.	PROPN
cord-248050-apjwnwky	192	8	woods	woods	PROPN
cord-248050-apjwnwky	192	9	sedimentation	sedimentation	NOUN
cord-248050-apjwnwky	192	10	of	of	ADP
cord-248050-apjwnwky	192	11	a	a	DET
cord-248050-apjwnwky	192	12	twodimensional	twodimensional	ADJ
cord-248050-apjwnwky	192	13	colloidal	colloidal	ADJ
cord-248050-apjwnwky	192	14	mixture	mixture	NOUN
cord-248050-apjwnwky	192	15	exhibiting	exhibit	VERB
cord-248050-apjwnwky	192	16	liquid	liquid	NOUN
cord-248050-apjwnwky	192	17	-	-	PUNCT
cord-248050-apjwnwky	192	18	liquid	liquid	NOUN
cord-248050-apjwnwky	192	19	and	and	CCONJ
cord-248050-apjwnwky	192	20	gas	gas	NOUN
cord-248050-apjwnwky	192	21	-	-	PUNCT
cord-248050-apjwnwky	192	22	liquid	liquid	ADJ
cord-248050-apjwnwky	192	23	phase	phase	NOUN
cord-248050-apjwnwky	192	24	separation	separation	NOUN
cord-248050-apjwnwky	192	25	:	:	PUNCT
cord-248050-apjwnwky	192	26	a	a	DET
cord-248050-apjwnwky	192	27	dynamical	dynamical	ADJ
cord-248050-apjwnwky	192	28	density	density	NOUN
cord-248050-apjwnwky	192	29	functional	functional	ADJ
cord-248050-apjwnwky	192	30	theory	theory	NOUN
cord-248050-apjwnwky	192	31	study	study	NOUN
cord-248050-apjwnwky	192	32	first	first	ADJ
cord-248050-apjwnwky	192	33	-	-	PUNCT
cord-248050-apjwnwky	192	34	principles	principle	NOUN
cord-248050-apjwnwky	192	35	order	order	NOUN
cord-248050-apjwnwky	192	36	-	-	PUNCT
cord-248050-apjwnwky	192	37	parameter	parameter	NOUN
cord-248050-apjwnwky	192	38	theory	theory	NOUN
cord-248050-apjwnwky	192	39	of	of	ADP
cord-248050-apjwnwky	192	40	freezing	freeze	VERB
cord-248050-apjwnwky	192	41	theory	theory	NOUN
cord-248050-apjwnwky	192	42	of	of	ADP
cord-248050-apjwnwky	192	43	simple	simple	ADJ
cord-248050-apjwnwky	192	44	liquids	liquid	NOUN
cord-248050-apjwnwky	192	45	:	:	PUNCT
cord-248050-apjwnwky	192	46	with	with	ADP
cord-248050-apjwnwky	192	47	applications	application	NOUN
cord-248050-apjwnwky	192	48	to	to	ADP
cord-248050-apjwnwky	192	49	soft	soft	ADJ
cord-248050-apjwnwky	192	50	matter	matter	NOUN
cord-248050-apjwnwky	192	51	propagating	propagate	VERB
cord-248050-apjwnwky	192	52	pattern	pattern	NOUN
cord-248050-apjwnwky	192	53	selection	selection	NOUN
cord-248050-apjwnwky	192	54	pattern	pattern	NOUN
cord-248050-apjwnwky	192	55	propagation	propagation	NOUN
cord-248050-apjwnwky	192	56	in	in	ADP
cord-248050-apjwnwky	192	57	nonlinear	nonlinear	ADJ
cord-248050-apjwnwky	192	58	dissipative	dissipative	NOUN
cord-248050-apjwnwky	192	59	systems	system	NOUN
cord-248050-apjwnwky	192	60	solidification	solidification	NOUN
cord-248050-apjwnwky	192	61	fronts	front	NOUN
cord-248050-apjwnwky	192	62	in	in	ADP
cord-248050-apjwnwky	192	63	supercooled	supercoole	VERB
cord-248050-apjwnwky	192	64	liquids	liquid	NOUN
cord-248050-apjwnwky	192	65	:	:	PUNCT
cord-248050-apjwnwky	192	66	how	how	SCONJ
cord-248050-apjwnwky	192	67	rapid	rapid	ADJ
cord-248050-apjwnwky	192	68	fronts	front	NOUN
cord-248050-apjwnwky	192	69	can	can	AUX
cord-248050-apjwnwky	192	70	lead	lead	VERB
cord-248050-apjwnwky	192	71	to	to	ADP
cord-248050-apjwnwky	192	72	disordered	disordered	NOUN
cord-248050-apjwnwky	192	73	glassy	glassy	NOUN
cord-248050-apjwnwky	192	74	solids	solid	NOUN
cord-248050-apjwnwky	192	75	solidification	solidification	NOUN
cord-248050-apjwnwky	192	76	in	in	ADP
cord-248050-apjwnwky	192	77	soft	soft	ADJ
cord-248050-apjwnwky	192	78	-	-	PUNCT
cord-248050-apjwnwky	192	79	core	core	NOUN
cord-248050-apjwnwky	192	80	fluids	fluid	NOUN
cord-248050-apjwnwky	192	81	:	:	PUNCT
cord-248050-apjwnwky	192	82	disordered	disordered	NOUN
cord-248050-apjwnwky	192	83	solids	solid	NOUN
cord-248050-apjwnwky	192	84	from	from	ADP
cord-248050-apjwnwky	192	85	fast	fast	ADJ
cord-248050-apjwnwky	192	86	solidification	solidification	NOUN
cord-248050-apjwnwky	192	87	fronts	front	NOUN
cord-248050-apjwnwky	192	88	generation	generation	NOUN
cord-248050-apjwnwky	192	89	of	of	ADP
cord-248050-apjwnwky	192	90	defects	defect	NOUN
cord-248050-apjwnwky	192	91	and	and	CCONJ
cord-248050-apjwnwky	192	92	disorder	disorder	NOUN
cord-248050-apjwnwky	192	93	from	from	ADP
cord-248050-apjwnwky	192	94	deeply	deeply	ADV
cord-248050-apjwnwky	192	95	quenching	quench	VERB
cord-248050-apjwnwky	192	96	a	a	DET
cord-248050-apjwnwky	192	97	liquid	liquid	NOUN
cord-248050-apjwnwky	192	98	to	to	PART
cord-248050-apjwnwky	192	99	form	form	VERB
cord-248050-apjwnwky	192	100	a	a	DET
cord-248050-apjwnwky	192	101	solid	solid	ADJ
cord-248050-apjwnwky	192	102	coronavirus	coronavirus	NOUN
cord-248050-apjwnwky	192	103	covid-19	covid-19	NUM
cord-248050-apjwnwky	192	104	global	global	ADJ
cord-248050-apjwnwky	192	105	cases	case	NOUN
cord-248050-apjwnwky	192	106	by	by	ADP
cord-248050-apjwnwky	192	107	the	the	DET
cord-248050-apjwnwky	192	108	center	center	NOUN
cord-248050-apjwnwky	192	109	for	for	ADP
cord-248050-apjwnwky	192	110	systems	system	NOUN
cord-248050-apjwnwky	192	111	science	science	NOUN
cord-248050-apjwnwky	192	112	and	and	CCONJ
cord-248050-apjwnwky	192	113	engineering	engineering	NOUN
cord-248050-apjwnwky	192	114	at	at	ADP
cord-248050-apjwnwky	192	115	john	john	PROPN
cord-248050-apjwnwky	192	116	hopkins	hopkins	PROPN
cord-248050-apjwnwky	192	117	university	university	PROPN
cord-248050-apjwnwky	192	118	uk	uk	PROPN
cord-248050-apjwnwky	192	119	warns	warn	VERB
cord-248050-apjwnwky	192	120	fifth	fifth	ADJ
cord-248050-apjwnwky	192	121	of	of	ADP
cord-248050-apjwnwky	192	122	workforce	workforce	NOUN
cord-248050-apjwnwky	192	123	could	could	AUX
cord-248050-apjwnwky	192	124	be	be	AUX
cord-248050-apjwnwky	192	125	off	off	ADV
cord-248050-apjwnwky	192	126	sick	sick	ADJ
cord-248050-apjwnwky	192	127	from	from	ADP
cord-248050-apjwnwky	192	128	coronavirus	coronavirus	NOUN
cord-248050-apjwnwky	192	129	at	at	ADP
cord-248050-apjwnwky	192	130	its	its	PRON
cord-248050-apjwnwky	192	131	peak	peak	NOUN
cord-248050-apjwnwky	192	132	;	;	PUNCT
cord-248050-apjwnwky	192	133	army	army	NOUN
cord-248050-apjwnwky	192	134	prepared	prepare	VERB
cord-248050-apjwnwky	192	135	dynamics	dynamic	NOUN
cord-248050-apjwnwky	192	136	of	of	ADP
cord-248050-apjwnwky	192	137	ebola	ebola	PROPN
cord-248050-apjwnwky	192	138	disease	disease	NOUN
cord-248050-apjwnwky	192	139	in	in	ADP
cord-248050-apjwnwky	192	140	the	the	DET
cord-248050-apjwnwky	192	141	framework	framework	NOUN
cord-248050-apjwnwky	192	142	of	of	ADP
cord-248050-apjwnwky	192	143	different	different	ADJ
cord-248050-apjwnwky	192	144	fractional	fractional	ADJ
cord-248050-apjwnwky	192	145	derivatives	derivative	NOUN
cord-248050-apjwnwky	192	146	fractional	fractional	ADJ
cord-248050-apjwnwky	192	147	derivatives	derivative	NOUN
cord-248050-apjwnwky	192	148	applied	apply	VERB
cord-248050-apjwnwky	192	149	to	to	ADP
cord-248050-apjwnwky	192	150	mseir	mseir	PROPN
cord-248050-apjwnwky	192	151	problems	problem	NOUN
cord-248050-apjwnwky	192	152	:	:	PUNCT
cord-248050-apjwnwky	192	153	comparative	comparative	ADJ
cord-248050-apjwnwky	192	154	study	study	NOUN
cord-248050-apjwnwky	192	155	with	with	ADP
cord-248050-apjwnwky	192	156	real	real	ADJ
cord-248050-apjwnwky	192	157	world	world	NOUN
cord-248050-apjwnwky	192	158	data	datum	NOUN
