id	sid	tid	token	lemma	pos
cana-2741	1	1	communications	communication	NOUN
cana-2741	1	2	on	on	ADP
cana-2741	1	3	applied	apply	VERB
cana-2741	1	4	nonlinear	nonlinear	ADJ
cana-2741	1	5	analysis	analysis	NOUN
cana-2741	1	6	issn	issn	NOUN
cana-2741	1	7	:	:	PUNCT
cana-2741	1	8	1074	1074	NUM
cana-2741	1	9	-	-	PUNCT
cana-2741	1	10	133x	133x	NUM
cana-2741	1	11	vol	vol	NOUN
cana-2741	1	12	32	32	NUM
cana-2741	1	13	no	no	NOUN
cana-2741	1	14	.	.	PUNCT
cana-2741	2	1	4s	4s	NUM
cana-2741	2	2	(	(	PUNCT
cana-2741	2	3	2025	2025	NUM
cana-2741	2	4	)	)	PUNCT
cana-2741	2	5	95	95	NUM
cana-2741	3	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-2741	3	2	analytical	analytical	ADJ
cana-2741	3	3	and	and	CCONJ
cana-2741	3	4	computational	computational	ADJ
cana-2741	3	5	investigation	investigation	NOUN
cana-2741	3	6	of	of	ADP
cana-2741	3	7	non	non	ADJ
cana-2741	3	8	-	-	ADJ
cana-2741	3	9	steady	steady	ADJ
cana-2741	3	10	state	state	NOUN
cana-2741	3	11	reaction	reaction	NOUN
cana-2741	3	12	and	and	CCONJ
cana-2741	3	13	kinetics	kinetic	NOUN
cana-2741	3	14	at	at	ADP
cana-2741	3	15	spherical	spherical	ADJ
cana-2741	3	16	ultramicroelectrodes	ultramicroelectrode	NOUN
cana-2741	3	17	concerning	concern	VERB
cana-2741	3	18	conducting	conduct	VERB
cana-2741	3	19	polymer	polymer	NOUN
cana-2741	3	20	modification	modification	NOUN
cana-2741	3	21	using	use	VERB
cana-2741	3	22	homotopy	homotopy	NOUN
cana-2741	3	23	perturbation	perturbation	NOUN
cana-2741	3	24	method	method	NOUN
cana-2741	3	25	a.uma1	a.uma1	NOUN
cana-2741	3	26	,	,	PUNCT
cana-2741	3	27	r.swaminathan1	r.swaminathan1	ADJ
cana-2741	3	28	*	*	SYM
cana-2741	3	29	1*pg	1*pg	NUM
cana-2741	3	30	&	&	CCONJ
cana-2741	3	31	research	research	PROPN
cana-2741	3	32	department	department	PROPN
cana-2741	3	33	of	of	ADP
cana-2741	3	34	mathematics	mathematic	NOUN
cana-2741	3	35	,	,	PUNCT
cana-2741	3	36	vidhyaa	vidhyaa	PROPN
cana-2741	3	37	giri	giri	PROPN
cana-2741	3	38	college	college	PROPN
cana-2741	3	39	of	of	ADP
cana-2741	3	40	arts	art	NOUN
cana-2741	3	41	and	and	CCONJ
cana-2741	3	42	science	science	NOUN
cana-2741	3	43	(	(	PUNCT
cana-2741	3	44	affiliated	affiliate	VERB
cana-2741	3	45	to	to	PART
cana-2741	3	46	alagappa	alagappa	VERB
cana-2741	3	47	university	university	NOUN
cana-2741	3	48	)	)	PUNCT
cana-2741	3	49	puduvayal-630108	puduvayal-630108	NOUN
cana-2741	3	50	,	,	PUNCT
cana-2741	3	51	tamilnadu	tamilnadu	NOUN
cana-2741	3	52	,	,	PUNCT
cana-2741	3	53	india	india	PROPN
cana-2741	3	54	.	.	PUNCT
cana-2741	4	1	1*email	1*email	NUM
cana-2741	4	2	:	:	PUNCT
cana-2741	4	3	swaminathanmath@gmail.com	swaminathanmath@gmail.com	X
cana-2741	4	4	article	article	NOUN
cana-2741	4	5	history	history	NOUN
cana-2741	4	6	:	:	PUNCT
cana-2741	4	7	received	receive	VERB
cana-2741	4	8	:	:	PUNCT
cana-2741	4	9	14	14	NUM
cana-2741	4	10	-	-	SYM
cana-2741	4	11	09	09	NUM
cana-2741	4	12	-	-	PUNCT
cana-2741	4	13	2024	2024	NUM
cana-2741	4	14	revised	revise	VERB
cana-2741	4	15	:	:	PUNCT
cana-2741	4	16	19	19	NUM
cana-2741	4	17	-	-	SYM
cana-2741	4	18	11	11	NUM
cana-2741	4	19	-	-	PUNCT
cana-2741	4	20	2024	2024	NUM
cana-2741	4	21	accepted	accept	VERB
cana-2741	4	22	:	:	PUNCT
cana-2741	4	23	28	28	NUM
cana-2741	4	24	-	-	SYM
cana-2741	4	25	11	11	NUM
cana-2741	4	26	-	-	PUNCT
cana-2741	4	27	2024	2024	NUM
cana-2741	4	28	abstract	abstract	NOUN
cana-2741	4	29	:	:	PUNCT
cana-2741	4	30	in	in	ADP
cana-2741	4	31	this	this	DET
cana-2741	4	32	work	work	NOUN
cana-2741	4	33	,	,	PUNCT
cana-2741	4	34	mathematical	mathematical	ADJ
cana-2741	4	35	modelling	modelling	NOUN
cana-2741	4	36	of	of	ADP
cana-2741	4	37	non	non	ADJ
cana-2741	4	38	-	-	ADJ
cana-2741	4	39	steady	steady	ADJ
cana-2741	4	40	state	state	NOUN
cana-2741	4	41	reaction	reaction	NOUN
cana-2741	4	42	and	and	CCONJ
cana-2741	4	43	kinetics	kinetic	NOUN
cana-2741	4	44	at	at	ADP
cana-2741	4	45	spherical	spherical	ADJ
cana-2741	4	46	ultramicroelectrodes	ultramicroelectrode	NOUN
cana-2741	4	47	within	within	ADP
cana-2741	4	48	conducting	conduct	VERB
cana-2741	4	49	polymer	polymer	NOUN
cana-2741	4	50	modification	modification	NOUN
cana-2741	4	51	is	be	AUX
cana-2741	4	52	considered	consider	VERB
cana-2741	4	53	.	.	PUNCT
cana-2741	5	1	the	the	DET
cana-2741	5	2	main	main	ADJ
cana-2741	5	3	objective	objective	NOUN
cana-2741	5	4	of	of	ADP
cana-2741	5	5	this	this	DET
cana-2741	5	6	work	work	NOUN
cana-2741	5	7	is	be	AUX
cana-2741	5	8	to	to	PART
cana-2741	5	9	propose	propose	VERB
cana-2741	5	10	a	a	DET
cana-2741	5	11	new	new	ADJ
cana-2741	5	12	analytical	analytical	ADJ
cana-2741	5	13	formulation	formulation	NOUN
cana-2741	5	14	for	for	ADP
cana-2741	5	15	the	the	DET
cana-2741	5	16	system	system	NOUN
cana-2741	5	17	of	of	ADP
cana-2741	5	18	nonlinear	nonlinear	ADJ
cana-2741	5	19	non	non	ADJ
cana-2741	5	20	-	-	ADJ
cana-2741	5	21	steady	steady	ADJ
cana-2741	5	22	state	state	NOUN
cana-2741	5	23	reaction	reaction	NOUN
cana-2741	5	24	diffusion	diffusion	NOUN
cana-2741	5	25	equation	equation	NOUN
cana-2741	5	26	in	in	ADP
cana-2741	5	27	spherical	spherical	ADJ
cana-2741	5	28	ultramicroelectrodes	ultramicroelectrode	NOUN
cana-2741	5	29	.	.	PUNCT
cana-2741	6	1	employing	employ	VERB
cana-2741	6	2	homotopy	homotopy	NOUN
cana-2741	6	3	perturbation	perturbation	NOUN
cana-2741	6	4	method	method	NOUN
cana-2741	6	5	,	,	PUNCT
cana-2741	6	6	the	the	DET
cana-2741	6	7	concentrations	concentration	NOUN
cana-2741	6	8	of	of	ADP
cana-2741	6	9	species	specie	NOUN
cana-2741	6	10	,	,	PUNCT
cana-2741	6	11	mediator	mediator	NOUN
cana-2741	6	12	and	and	CCONJ
cana-2741	6	13	current	current	NOUN
cana-2741	6	14	may	may	AUX
cana-2741	6	15	all	all	PRON
cana-2741	6	16	be	be	AUX
cana-2741	6	17	obtained	obtain	VERB
cana-2741	6	18	analytically	analytically	ADV
cana-2741	6	19	for	for	ADP
cana-2741	6	20	all	all	DET
cana-2741	6	21	conceivable	conceivable	ADJ
cana-2741	6	22	experimental	experimental	ADJ
cana-2741	6	23	results	result	NOUN
cana-2741	6	24	of	of	ADP
cana-2741	6	25	the	the	DET
cana-2741	6	26	parameter	parameter	NOUN
cana-2741	6	27	.	.	PUNCT
cana-2741	7	1	the	the	DET
cana-2741	7	2	accumulated	accumulate	VERB
cana-2741	7	3	analytical	analytical	ADJ
cana-2741	7	4	outcomes	outcome	NOUN
cana-2741	7	5	are	be	AUX
cana-2741	7	6	analyzed	analyze	VERB
cana-2741	7	7	with	with	ADP
cana-2741	7	8	numerical	numerical	ADJ
cana-2741	7	9	simulations	simulation	NOUN
cana-2741	7	10	and	and	CCONJ
cana-2741	7	11	implemented	implement	VERB
cana-2741	7	12	to	to	PART
cana-2741	7	13	investigate	investigate	VERB
cana-2741	7	14	various	various	ADJ
cana-2741	7	15	parameters	parameter	NOUN
cana-2741	7	16	.	.	PUNCT
cana-2741	8	1	by	by	ADP
cana-2741	8	2	comparing	compare	VERB
cana-2741	8	3	the	the	DET
cana-2741	8	4	analytical	analytical	ADJ
cana-2741	8	5	solution	solution	NOUN
cana-2741	8	6	with	with	ADP
cana-2741	8	7	numerical	numerical	ADJ
cana-2741	8	8	findings	finding	NOUN
cana-2741	8	9	,	,	PUNCT
cana-2741	8	10	the	the	DET
cana-2741	8	11	accuracy	accuracy	NOUN
cana-2741	8	12	of	of	ADP
cana-2741	8	13	the	the	DET
cana-2741	8	14	method	method	NOUN
cana-2741	8	15	is	be	AUX
cana-2741	8	16	presented	present	VERB
cana-2741	8	17	.	.	PUNCT
cana-2741	9	1	in	in	ADP
cana-2741	9	2	order	order	NOUN
cana-2741	9	3	to	to	PART
cana-2741	9	4	better	well	ADV
cana-2741	9	5	understand	understand	VERB
cana-2741	9	6	the	the	DET
cana-2741	9	7	system	system	NOUN
cana-2741	9	8	dynamics	dynamic	NOUN
cana-2741	9	9	,	,	PUNCT
cana-2741	9	10	a	a	DET
cana-2741	9	11	numerical	numerical	ADJ
cana-2741	9	12	simulation	simulation	NOUN
cana-2741	9	13	of	of	ADP
cana-2741	9	14	the	the	DET
cana-2741	9	15	issue	issue	NOUN
cana-2741	9	16	is	be	AUX
cana-2741	9	17	also	also	ADV
cana-2741	9	18	provided	provide	VERB
cana-2741	9	19	through	through	ADP
cana-2741	9	20	matlab	matlab	PROPN
cana-2741	9	21	software	software	NOUN
cana-2741	9	22	.	.	PUNCT
cana-2741	10	1	the	the	DET
cana-2741	10	2	new	new	ADJ
cana-2741	10	3	analytical	analytical	ADJ
cana-2741	10	4	results	result	NOUN
cana-2741	10	5	contribute	contribute	VERB
cana-2741	10	6	to	to	ADP
cana-2741	10	7	optimizing	optimize	VERB
cana-2741	10	8	the	the	DET
cana-2741	10	9	consistency	consistency	NOUN
cana-2741	10	10	of	of	ADP
cana-2741	10	11	this	this	DET
cana-2741	10	12	model	model	NOUN
cana-2741	10	13	.	.	PUNCT
cana-2741	11	1	these	these	DET
cana-2741	11	2	novel	novel	ADJ
cana-2741	11	3	approaches	approach	NOUN
cana-2741	11	4	produce	produce	VERB
cana-2741	11	5	a	a	DET
cana-2741	11	6	compact	compact	ADJ
cana-2741	11	7	set	set	NOUN
cana-2741	11	8	of	of	ADP
cana-2741	11	9	analytical	analytical	ADJ
cana-2741	11	10	approximations	approximation	NOUN
cana-2741	11	11	that	that	PRON
cana-2741	11	12	possess	possess	VERB
cana-2741	11	13	straightforward	straightforward	ADJ
cana-2741	11	14	to	to	PART
cana-2741	11	15	compute	compute	VERB
cana-2741	11	16	and	and	CCONJ
cana-2741	11	17	verify	verify	VERB
cana-2741	11	18	as	as	ADV
cana-2741	11	19	well	well	ADV
cana-2741	11	20	.	.	PUNCT
cana-2741	12	1	keywords	keyword	NOUN
cana-2741	12	2	:	:	PUNCT
cana-2741	12	3	nonlinear	nonlinear	ADJ
cana-2741	12	4	equation	equation	NOUN
cana-2741	12	5	,	,	PUNCT
cana-2741	12	6	non	non	ADJ
cana-2741	12	7	-	-	ADJ
cana-2741	12	8	steady	steady	ADJ
cana-2741	12	9	state	state	NOUN
cana-2741	12	10	,	,	PUNCT
cana-2741	12	11	reaction	reaction	NOUN
cana-2741	12	12	diffusion	diffusion	NOUN
cana-2741	12	13	process	process	NOUN
cana-2741	12	14	,	,	PUNCT
cana-2741	12	15	spherical	spherical	ADJ
cana-2741	12	16	ultramicroelectrodes	ultramicroelectrode	NOUN
cana-2741	12	17	,	,	PUNCT
cana-2741	12	18	homotopy	homotopy	VERB
cana-2741	12	19	perturbation	perturbation	NOUN
cana-2741	12	20	method	method	NOUN
cana-2741	12	21	.	.	PUNCT
cana-2741	13	1	1.introduction	1.introduction	NUM
cana-2741	13	2	in	in	ADP
cana-2741	13	3	the	the	DET
cana-2741	13	4	electrochemical	electrochemical	ADJ
cana-2741	13	5	process	process	NOUN
cana-2741	13	6	and	and	CCONJ
cana-2741	13	7	the	the	DET
cana-2741	13	8	kinetics	kinetic	NOUN
cana-2741	13	9	of	of	ADP
cana-2741	13	10	rapid	rapid	ADJ
cana-2741	13	11	reactions	reaction	NOUN
cana-2741	13	12	,	,	PUNCT
cana-2741	13	13	ultra	ultra	ADJ
cana-2741	13	14	microelectrodes	microelectrode	NOUN
cana-2741	13	15	serve	serve	VERB
cana-2741	13	16	as	as	ADP
cana-2741	13	17	a	a	DET
cana-2741	13	18	practical	practical	ADJ
cana-2741	13	19	aid	aid	NOUN
cana-2741	13	20	for	for	ADP
cana-2741	13	21	interpreting	interpret	VERB
cana-2741	13	22	the	the	DET
cana-2741	13	23	system	system	NOUN
cana-2741	13	24	's	's	PART
cana-2741	13	25	functioning	functioning	NOUN
cana-2741	13	26	.	.	PUNCT
cana-2741	14	1	last	last	ADJ
cana-2741	14	2	10	10	NUM
cana-2741	14	3	years	year	NOUN
cana-2741	14	4	,	,	PUNCT
cana-2741	14	5	many	many	ADJ
cana-2741	14	6	voltammetric	voltammetric	ADJ
cana-2741	14	7	investigations	investigation	NOUN
cana-2741	14	8	have	have	AUX
cana-2741	14	9	employed	employ	VERB
cana-2741	14	10	ume	ume	NOUN
cana-2741	14	11	with	with	ADP
cana-2741	14	12	tip	tip	NOUN
cana-2741	14	13	diameters	diameter	NOUN
cana-2741	14	14	of	of	ADP
cana-2741	14	15	the	the	DET
cana-2741	14	16	order	order	NOUN
cana-2741	14	17	of	of	ADP
cana-2741	14	18	a	a	DET
cana-2741	14	19	micrometre	micrometre	NOUN
cana-2741	14	20	along	along	ADP
cana-2741	14	21	with	with	ADP
cana-2741	14	22	ten	ten	NUM
cana-2741	14	23	percent	percent	NOUN
cana-2741	14	24	of	of	ADP
cana-2741	14	25	𝜇𝑚1	𝜇𝑚1	NOUN
cana-2741	14	26	.	.	PUNCT
cana-2741	15	1	it	it	PRON
cana-2741	15	2	demonstrates	demonstrate	VERB
cana-2741	15	3	a	a	DET
cana-2741	15	4	time	time	NOUN
cana-2741	15	5	-	-	PUNCT
cana-2741	15	6	independent	independent	ADJ
cana-2741	15	7	current	current	ADJ
cana-2741	15	8	reaction	reaction	NOUN
cana-2741	15	9	with	with	ADP
cana-2741	15	10	a	a	DET
cana-2741	15	11	spherical	spherical	ADJ
cana-2741	15	12	or	or	CCONJ
cana-2741	15	13	disc	disc	NOUN
cana-2741	15	14	shape	shape	NOUN
cana-2741	15	15	,	,	PUNCT
cana-2741	15	16	which	which	PRON
cana-2741	15	17	has	have	AUX
cana-2741	15	18	both	both	CCONJ
cana-2741	15	19	practical	practical	ADJ
cana-2741	15	20	as	as	ADV
cana-2741	15	21	well	well	ADV
cana-2741	15	22	as	as	ADP
cana-2741	15	23	theoretical	theoretical	ADJ
cana-2741	15	24	benefits2	benefits2	NOUN
cana-2741	15	25	-	-	PUNCT
cana-2741	15	26	4	4	NUM
cana-2741	15	27	.	.	PUNCT
cana-2741	15	28	numerous	numerous	ADJ
cana-2741	15	29	sensing	sense	VERB
cana-2741	15	30	applications	application	NOUN
cana-2741	15	31	might	might	AUX
cana-2741	15	32	use	use	VERB
cana-2741	15	33	modified	modified	ADJ
cana-2741	15	34	microelectrodes	microelectrode	NOUN
cana-2741	15	35	within	within	ADP
cana-2741	15	36	polymer	polymer	NOUN
cana-2741	15	37	layer5	layer5	PROPN
cana-2741	15	38	-	-	PUNCT
cana-2741	15	39	6	6	PROPN
cana-2741	15	40	.	.	PUNCT
cana-2741	16	1	fleischmann	fleischmann	PROPN
cana-2741	16	2	et	et	PROPN
cana-2741	16	3	al.7	al.7	PROPN
cana-2741	16	4	discussed	discuss	VERB
cana-2741	16	5	the	the	DET
cana-2741	16	6	electrochemical	electrochemical	ADJ
cana-2741	16	7	characteristics	characteristic	NOUN
cana-2741	16	8	of	of	ADP
cana-2741	16	9	spherical	spherical	ADJ
cana-2741	16	10	ultramicroelectrodes	ultramicroelectrode	NOUN
cana-2741	16	11	.	.	PUNCT
cana-2741	17	1	special	special	ADJ
cana-2741	17	2	structures	structure	NOUN
cana-2741	17	3	like	like	ADP
cana-2741	17	4	fibers	fiber	NOUN
cana-2741	17	5	and	and	CCONJ
cana-2741	17	6	embedded	embed	VERB
cana-2741	17	7	reticulated	reticulated	ADJ
cana-2741	17	8	foams	foam	NOUN
cana-2741	17	9	are	be	AUX
cana-2741	17	10	needed	need	VERB
cana-2741	17	11	for	for	ADP
cana-2741	17	12	the	the	DET
cana-2741	17	13	moderate	moderate	ADJ
cana-2741	17	14	commercialization	commercialization	NOUN
cana-2741	17	15	of	of	ADP
cana-2741	17	16	reactions	reaction	NOUN
cana-2741	17	17	at	at	ADP
cana-2741	17	18	microelectrodes	microelectrode	NOUN
cana-2741	17	19	.	.	PUNCT
cana-2741	18	1	the	the	DET
cana-2741	18	2	use	use	NOUN
cana-2741	18	3	of	of	ADP
cana-2741	18	4	the	the	DET
cana-2741	18	5	unique	unique	ADJ
cana-2741	18	6	benefits	benefit	NOUN
cana-2741	18	7	of	of	ADP
cana-2741	18	8	microelectrodes	microelectrode	NOUN
cana-2741	18	9	for	for	ADP
cana-2741	18	10	the	the	DET
cana-2741	18	11	synthesis	synthesis	NOUN
cana-2741	18	12	such	such	ADJ
cana-2741	18	13	as	as	ADP
cana-2741	18	14	the	the	DET
cana-2741	18	15	simplicity	simplicity	NOUN
cana-2741	18	16	of	of	ADP
cana-2741	18	17	setup	setup	NOUN
cana-2741	18	18	and	and	CCONJ
cana-2741	18	19	the	the	DET
cana-2741	18	20	enlargement	enlargement	NOUN
cana-2741	18	21	of	of	ADP
cana-2741	18	22	the	the	DET
cana-2741	18	23	fluid	fluid	ADJ
cana-2741	18	24	region	region	NOUN
cana-2741	18	25	when	when	SCONJ
cana-2741	18	26	the	the	DET
cana-2741	18	27	support	support	NOUN
cana-2741	18	28	electrolyte	electrolyte	NOUN
cana-2741	18	29	is	be	AUX
cana-2741	18	30	absent	absent	ADJ
cana-2741	18	31	.	.	PUNCT
cana-2741	19	1	even	even	ADV
cana-2741	19	2	so	so	ADV
cana-2741	19	3	,	,	PUNCT
cana-2741	19	4	certain	certain	ADJ
cana-2741	19	5	electrode	electrode	NOUN
cana-2741	19	6	and	and	CCONJ
cana-2741	19	7	cell	cell	NOUN
cana-2741	19	8	designs	design	NOUN
cana-2741	19	9	are	be	AUX
cana-2741	19	10	needed	need	VERB
cana-2741	19	11	,	,	PUNCT
cana-2741	19	12	such	such	DET
cana-2741	19	13	the	the	DET
cana-2741	19	14	utilizing	utilizing	NOUN
cana-2741	19	15	electrodes	electrode	NOUN
cana-2741	19	16	in	in	ADP
cana-2741	19	17	three	three	NUM
cana-2741	19	18	dimensions	dimension	NOUN
cana-2741	19	19	.	.	PUNCT
cana-2741	20	1	rebouilat	rebouilat	ADJ
cana-2741	20	2	et	et	PROPN
cana-2741	20	3	al.8	al.8	PROPN
cana-2741	20	4	have	have	AUX
cana-2741	20	5	issued	issue	VERB
cana-2741	20	6	an	an	DET
cana-2741	20	7	empirical	empirical	ADJ
cana-2741	20	8	investigation	investigation	NOUN
cana-2741	20	9	of	of	ADP
cana-2741	20	10	the	the	DET
cana-2741	20	11	equilibrium	equilibrium	NOUN
cana-2741	20	12	current	current	ADJ
cana-2741	20	13	response	response	NOUN
cana-2741	20	14	anticipated	anticipate	VERB
cana-2741	20	15	for	for	ADP
cana-2741	20	16	a	a	DET
cana-2741	20	17	conducting	conduct	VERB
cana-2741	20	18	spherical	spherical	ADJ
cana-2741	20	19	ultramicroelectrodes	ultramicroelectrode	NOUN
cana-2741	20	20	with	with	ADP
cana-2741	20	21	polymer	polymer	NOUN
cana-2741	20	22	modification	modification	NOUN
cana-2741	20	23	beneath	beneath	ADP
cana-2741	20	24	amperometric	amperometric	NOUN
cana-2741	20	25	circumstances	circumstance	NOUN
cana-2741	20	26	.	.	PUNCT
cana-2741	21	1	albery	albery	ADJ
cana-2741	21	2	et	et	PROPN
cana-2741	21	3	al.9	al.9	PROPN
cana-2741	21	4	communications	communication	NOUN
cana-2741	21	5	on	on	ADP
cana-2741	21	6	applied	apply	VERB
cana-2741	21	7	nonlinear	nonlinear	ADJ
cana-2741	21	8	analysis	analysis	NOUN
cana-2741	21	9	issn	issn	NOUN
cana-2741	21	10	:	:	PUNCT
cana-2741	21	11	1074	1074	NUM
cana-2741	21	12	-	-	PUNCT
cana-2741	21	13	133x	133x	NUM
cana-2741	21	14	vol	vol	NOUN
cana-2741	21	15	32	32	NUM
cana-2741	21	16	no	no	NOUN
cana-2741	21	17	.	.	PUNCT
cana-2741	22	1	4s	4s	NUM
cana-2741	22	2	(	(	PUNCT
cana-2741	22	3	2025	2025	NUM
cana-2741	22	4	)	)	PUNCT
cana-2741	22	5	96	96	NUM
cana-2741	22	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2741	22	7	have	have	AUX
cana-2741	22	8	made	make	VERB
cana-2741	22	9	significant	significant	ADJ
cana-2741	22	10	contributions	contribution	NOUN
cana-2741	22	11	to	to	ADP
cana-2741	22	12	the	the	DET
cana-2741	22	13	theoretical	theoretical	ADJ
cana-2741	22	14	explanation	explanation	NOUN
cana-2741	22	15	of	of	ADP
cana-2741	22	16	facilitated	facilitated	ADJ
cana-2741	22	17	electron	electron	NOUN
cana-2741	22	18	transport	transport	NOUN
cana-2741	22	19	at	at	ADP
cana-2741	22	20	electroactive	electroactive	ADJ
cana-2741	22	21	polymer	polymer	NOUN
cana-2741	22	22	films	film	NOUN
cana-2741	22	23	that	that	PRON
cana-2741	22	24	have	have	AUX
cana-2741	22	25	been	be	AUX
cana-2741	22	26	formed	form	VERB
cana-2741	22	27	on	on	ADP
cana-2741	22	28	large	large	ADJ
cana-2741	22	29	-	-	PUNCT
cana-2741	22	30	scale	scale	NOUN
cana-2741	22	31	electrode	electrode	NOUN
cana-2741	22	32	surfaces	surface	NOUN
cana-2741	22	33	.	.	PUNCT
cana-2741	23	1	in	in	ADP
cana-2741	23	2	contrast	contrast	NOUN
cana-2741	23	3	,	,	PUNCT
cana-2741	23	4	the	the	DET
cana-2741	23	5	later	later	ADJ
cana-2741	23	6	strategies	strategy	NOUN
cana-2741	23	7	yield	yield	VERB
cana-2741	23	8	identical	identical	ADJ
cana-2741	23	9	outcomes	outcome	NOUN
cana-2741	23	10	but	but	CCONJ
cana-2741	23	11	are	be	AUX
cana-2741	23	12	distinct	distinct	ADJ
cana-2741	23	13	in	in	ADP
cana-2741	23	14	specifics	specific	NOUN
cana-2741	23	15	.	.	PUNCT
cana-2741	24	1	within	within	ADP
cana-2741	24	2	conducting	conduct	VERB
cana-2741	24	3	polymer	polymer	NOUN
cana-2741	24	4	modified	modify	VERB
cana-2741	24	5	ultramicroelectrodes	ultramicroelectrode	NOUN
cana-2741	24	6	,	,	PUNCT
cana-2741	24	7	anitha	anitha	PROPN
cana-2741	24	8	et	et	PROPN
cana-2741	24	9	al.10	al.10	PROPN
cana-2741	24	10	worked	work	VERB
cana-2741	24	11	at	at	ADP
cana-2741	24	12	the	the	DET
cana-2741	24	13	solution	solution	NOUN
cana-2741	24	14	of	of	ADP
cana-2741	24	15	coupled	couple	VERB
cana-2741	24	16	time	time	NOUN
cana-2741	24	17	-	-	PUNCT
cana-2741	24	18	varying	vary	VERB
cana-2741	24	19	nonlinear	nonlinear	ADJ
cana-2741	24	20	reaction	reaction	NOUN
cana-2741	24	21	-	-	PUNCT
cana-2741	24	22	diffusion	diffusion	NOUN
cana-2741	24	23	equations	equation	NOUN
cana-2741	24	24	.	.	PUNCT
cana-2741	25	1	sentamarai	sentamarai	PROPN
cana-2741	25	2	et	et	PROPN
cana-2741	25	3	al.11	al.11	PROPN
cana-2741	25	4	and	and	CCONJ
cana-2741	25	5	yogeshwari	yogeshwari	PROPN
cana-2741	25	6	et	et	NOUN
cana-2741	25	7	al.12	al.12	NOUN
cana-2741	25	8	determine	determine	VERB
cana-2741	25	9	the	the	DET
cana-2741	25	10	substrate	substrate	NOUN
cana-2741	25	11	concentration	concentration	NOUN
cana-2741	25	12	and	and	CCONJ
cana-2741	25	13	mediated	mediate	VERB
cana-2741	25	14	profiles	profile	NOUN
cana-2741	25	15	within	within	ADP
cana-2741	25	16	ume	ume	NOUN
cana-2741	25	17	by	by	ADP
cana-2741	25	18	adopting	adopt	VERB
cana-2741	25	19	the	the	DET
cana-2741	25	20	variational	variational	ADJ
cana-2741	25	21	iteration	iteration	NOUN
cana-2741	25	22	method	method	NOUN
cana-2741	25	23	and	and	CCONJ
cana-2741	25	24	taylor	taylor	PROPN
cana-2741	25	25	series	series	PROPN
cana-2741	25	26	method	method	PROPN
cana-2741	25	27	,	,	PUNCT
cana-2741	25	28	respectively	respectively	ADV
cana-2741	25	29	.	.	PUNCT
cana-2741	26	1	the	the	DET
cana-2741	26	2	present	present	ADJ
cana-2741	26	3	work	work	NOUN
cana-2741	26	4	intends	intend	VERB
cana-2741	26	5	to	to	PART
cana-2741	26	6	utilize	utilize	VERB
cana-2741	26	7	hpm	hpm	NOUN
cana-2741	26	8	to	to	PART
cana-2741	26	9	construct	construct	VERB
cana-2741	26	10	an	an	DET
cana-2741	26	11	analytical	analytical	ADJ
cana-2741	26	12	formulation	formulation	NOUN
cana-2741	26	13	for	for	ADP
cana-2741	26	14	the	the	DET
cana-2741	26	15	concentration	concentration	NOUN
cana-2741	26	16	of	of	ADP
cana-2741	26	17	mediator	mediator	NOUN
cana-2741	26	18	and	and	CCONJ
cana-2741	26	19	current	current	NOUN
cana-2741	26	20	based	base	VERB
cana-2741	26	21	on	on	ADP
cana-2741	26	22	non	non	ADJ
cana-2741	26	23	-	-	ADJ
cana-2741	26	24	steady	steady	ADJ
cana-2741	26	25	state	state	NOUN
cana-2741	26	26	reaction	reaction	NOUN
cana-2741	26	27	-	-	PUNCT
cana-2741	26	28	diffusion	diffusion	NOUN
cana-2741	26	29	equations	equation	NOUN
cana-2741	26	30	at	at	ADP
cana-2741	26	31	an	an	DET
cana-2741	26	32	electrode	electrode	NOUN
cana-2741	26	33	surface	surface	NOUN
cana-2741	26	34	within	within	ADP
cana-2741	26	35	spherical	spherical	ADJ
cana-2741	26	36	ultramicroelectrodes	ultramicroelectrode	NOUN
cana-2741	26	37	along	along	ADV
cana-2741	26	38	with	with	ADP
cana-2741	26	39	conducting	conduct	VERB
cana-2741	26	40	polymer	polymer	NOUN
cana-2741	26	41	modification	modification	NOUN
cana-2741	26	42	.	.	PUNCT
cana-2741	27	1	2.mathematical	2.mathematical	NUM
cana-2741	27	2	formulation	formulation	NOUN
cana-2741	27	3	a	a	DET
cana-2741	27	4	mathematical	mathematical	ADJ
cana-2741	27	5	model	model	NOUN
cana-2741	27	6	has	have	AUX
cana-2741	27	7	determined	determine	VERB
cana-2741	27	8	the	the	DET
cana-2741	27	9	relationship	relationship	NOUN
cana-2741	27	10	between	between	ADP
cana-2741	27	11	the	the	DET
cana-2741	27	12	substrate	substrate	NOUN
cana-2741	27	13	reaction	reaction	NOUN
cana-2741	27	14	and	and	CCONJ
cana-2741	27	15	diffusion	diffusion	NOUN
cana-2741	27	16	in	in	ADP
cana-2741	27	17	the	the	DET
cana-2741	27	18	electro	electro	ADJ
cana-2741	27	19	conductive	conductive	ADJ
cana-2741	27	20	polymer	polymer	NOUN
cana-2741	27	21	.	.	PUNCT
cana-2741	28	1	we	we	PRON
cana-2741	28	2	will	will	AUX
cana-2741	28	3	simply	simply	ADV
cana-2741	28	4	give	give	VERB
cana-2741	28	5	a	a	DET
cana-2741	28	6	quick	quick	ADJ
cana-2741	28	7	summary	summary	NOUN
cana-2741	28	8	because	because	SCONJ
cana-2741	28	9	a	a	DET
cana-2741	28	10	detailed	detailed	ADJ
cana-2741	28	11	analysis	analysis	NOUN
cana-2741	28	12	of	of	ADP
cana-2741	28	13	the	the	DET
cana-2741	28	14	underlying	underlie	VERB
cana-2741	28	15	assumptions	assumption	NOUN
cana-2741	28	16	and	and	CCONJ
cana-2741	28	17	physical	physical	ADJ
cana-2741	28	18	depiction	depiction	NOUN
cana-2741	28	19	of	of	ADP
cana-2741	28	20	the	the	DET
cana-2741	28	21	issue	issue	NOUN
cana-2741	28	22	has	have	AUX
cana-2741	28	23	already	already	ADV
cana-2741	28	24	been	be	AUX
cana-2741	28	25	done	do	VERB
cana-2741	28	26	by	by	ADP
cana-2741	28	27	fleischmann	fleischmann	PROPN
cana-2741	28	28	et	et	PROPN
cana-2741	28	29	al.7and	al.7and	CCONJ
cana-2741	28	30	rebouillat	rebouillat	PROPN
cana-2741	28	31	et	et	PROPN
cana-2741	28	32	al.8	al.8	PROPN
cana-2741	28	33	.	.	PUNCT
cana-2741	29	1	the	the	DET
cana-2741	29	2	governing	govern	VERB
cana-2741	29	3	equations	equation	NOUN
cana-2741	29	4	are	be	AUX
cana-2741	29	5	derived	derive	VERB
cana-2741	29	6	while	while	SCONJ
cana-2741	29	7	considering	consider	VERB
cana-2741	29	8	the	the	DET
cana-2741	29	9	following	follow	VERB
cana-2741	29	10	assumptions	assumption	NOUN
cana-2741	29	11	.	.	PUNCT
cana-2741	30	1	1	1	X
cana-2741	30	2	.	.	X
cana-2741	30	3	the	the	DET
cana-2741	30	4	substrate	substrate	NOUN
cana-2741	30	5	will	will	AUX
cana-2741	30	6	diffuse	diffuse	VERB
cana-2741	30	7	spherically	spherically	NOUN
cana-2741	30	8	in	in	ADP
cana-2741	30	9	the	the	DET
cana-2741	30	10	thin	thin	ADJ
cana-2741	30	11	film	film	NOUN
cana-2741	30	12	,	,	PUNCT
cana-2741	30	13	and	and	CCONJ
cana-2741	30	14	the	the	DET
cana-2741	30	15	mediator	mediator	NOUN
cana-2741	30	16	and	and	CCONJ
cana-2741	30	17	substrate	substrate	NOUN
cana-2741	30	18	species	specie	NOUN
cana-2741	30	19	will	will	AUX
cana-2741	30	20	intent	intent	VERB
cana-2741	30	21	chemically	chemically	ADV
cana-2741	30	22	in	in	ADP
cana-2741	30	23	a	a	DET
cana-2741	30	24	bio	bio	NOUN
cana-2741	30	25	molecular	molecular	ADJ
cana-2741	30	26	way	way	NOUN
cana-2741	30	27	.	.	PUNCT
cana-2741	31	1	2	2	X
cana-2741	31	2	.	.	X
cana-2741	31	3	consider	consider	VERB
cana-2741	31	4	the	the	DET
cana-2741	31	5	deposited	deposit	VERB
cana-2741	31	6	film	film	NOUN
cana-2741	31	7	to	to	PART
cana-2741	31	8	be	be	AUX
cana-2741	31	9	a	a	DET
cana-2741	31	10	uniform	uniform	ADJ
cana-2741	31	11	medium	medium	NOUN
cana-2741	31	12	.	.	PUNCT
cana-2741	32	1	3	3	X
cana-2741	32	2	.	.	X
cana-2741	32	3	a	a	DET
cana-2741	32	4	partition	partition	NOUN
cana-2741	32	5	and	and	CCONJ
cana-2741	32	6	diffusion	diffusion	NOUN
cana-2741	32	7	coefficient	coefficient	NOUN
cana-2741	32	8	cause	cause	VERB
cana-2741	32	9	the	the	DET
cana-2741	32	10	substrate	substrate	NOUN
cana-2741	32	11	to	to	PART
cana-2741	32	12	divide	divide	VERB
cana-2741	32	13	into	into	ADP
cana-2741	32	14	layers	layer	NOUN
cana-2741	32	15	.	.	PUNCT
cana-2741	33	1	the	the	DET
cana-2741	33	2	equation	equation	NOUN
cana-2741	33	3	regarding	regard	VERB
cana-2741	33	4	non	non	ADJ
cana-2741	33	5	-	-	ADJ
cana-2741	33	6	steady	steady	ADJ
cana-2741	33	7	state	state	NOUN
cana-2741	33	8	reaction	reaction	NOUN
cana-2741	33	9	-	-	PUNCT
cana-2741	33	10	diffusion	diffusion	NOUN
cana-2741	33	11	within	within	ADP
cana-2741	33	12	the	the	DET
cana-2741	33	13	polymer	polymer	NOUN
cana-2741	33	14	layer	layer	NOUN
cana-2741	33	15	could	could	AUX
cana-2741	33	16	be	be	AUX
cana-2741	33	17	phrased	phrase	VERB
cana-2741	33	18	in	in	ADP
cana-2741	33	19	the	the	DET
cana-2741	33	20	following	following	ADJ
cana-2741	33	21	manner	manner	NOUN
cana-2741	33	22	.	.	PUNCT
cana-2741	34	1	𝔇𝒮1	𝔇𝒮1	PROPN
cana-2741	34	2	𝜕2𝑠1	𝜕2𝑠1	PUNCT
cana-2741	34	3	𝜕𝑢2	𝜕𝑢2	NOUN
cana-2741	34	4	+	+	NOUN
cana-2741	34	5	2𝔇𝒮1	2𝔇𝒮1	NUM
cana-2741	34	6	𝓊	𝓊	PROPN
cana-2741	34	7	𝜕𝑠1	𝜕𝑠1	ADJ
cana-2741	34	8	𝜕𝑢	𝜕𝑢	NOUN
cana-2741	34	9	𝜌𝑠1𝑠2	𝜌𝑠1𝑠2	NOUN
cana-2741	34	10	=	=	SYM
cana-2741	34	11	𝜕𝑠1	𝜕𝑠1	NOUN
cana-2741	34	12	𝜕𝑡	𝜕𝑡	PROPN
cana-2741	34	13	(	(	PUNCT
cana-2741	34	14	2.1	2.1	NUM
cana-2741	34	15	)	)	PUNCT
cana-2741	35	1	𝔇𝒮2	𝔇𝒮2	PROPN
cana-2741	35	2	𝜕2𝑠2	𝜕2𝑠2	NOUN
cana-2741	35	3	𝜕𝑢2	𝜕𝑢2	NOUN
cana-2741	35	4	+	+	PROPN
cana-2741	35	5	2𝔇𝒮2	2𝔇𝒮2	NUM
cana-2741	35	6	𝓊	𝓊	ADP
cana-2741	35	7	𝜕𝑠2	𝜕𝑠2	NOUN
cana-2741	35	8	𝜕𝑢	𝜕𝑢	NOUN
cana-2741	35	9	𝜌	𝜌	ADP
cana-2741	35	10	2	2	NUM
cana-2741	35	11	𝑠1𝑠2	𝑠1𝑠2	ADV
cana-2741	35	12	=	=	NOUN
cana-2741	35	13	𝜕𝑠2	𝜕𝑠2	ADJ
cana-2741	35	14	𝜕𝑡	𝜕𝑡	NOUN
cana-2741	35	15	(	(	PUNCT
cana-2741	35	16	2.2	2.2	NUM
cana-2741	35	17	)	)	PUNCT
cana-2741	35	18	𝔇ℳ	𝔇ℳ	PROPN
cana-2741	35	19	𝜕2𝑚	𝜕2𝑚	CCONJ
cana-2741	35	20	𝜕𝑢2	𝜕𝑢2	NOUN
cana-2741	35	21	+	+	NOUN
cana-2741	35	22	2𝔇ℳ	2𝔇ℳ	NUM
cana-2741	35	23	𝓊	𝓊	PRON
cana-2741	35	24	𝜕𝑚	𝜕𝑚	NOUN
cana-2741	35	25	𝜕𝑢	𝜕𝑢	NOUN
cana-2741	35	26	+	+	NUM
cana-2741	35	27	𝜌𝑠1𝑠2	𝜌𝑠1𝑠2	NOUN
cana-2741	35	28	=	=	SYM
cana-2741	35	29	𝜕𝑚	𝜕𝑚	PROPN
cana-2741	35	30	𝜕𝑡	𝜕𝑡	PROPN
cana-2741	35	31	(	(	PUNCT
cana-2741	35	32	2.3	2.3	NUM
cana-2741	35	33	)	)	PUNCT
cana-2741	35	34	following	follow	VERB
cana-2741	35	35	are	be	AUX
cana-2741	35	36	the	the	DET
cana-2741	35	37	boundary	boundary	ADJ
cana-2741	35	38	conditions	condition	NOUN
cana-2741	35	39	that	that	PRON
cana-2741	35	40	describe	describe	VERB
cana-2741	35	41	the	the	DET
cana-2741	35	42	problem	problem	NOUN
cana-2741	35	43	at	at	ADP
cana-2741	35	44	𝑡	𝑡	PROPN
cana-2741	35	45	=	=	SYM
cana-2741	35	46	0	0	PROPN
cana-2741	35	47	,	,	PUNCT
cana-2741	35	48	𝑠1	𝑠1	PROPN
cana-2741	35	49	=	=	SYM
cana-2741	35	50	0	0	NUM
cana-2741	35	51	;	;	PUNCT
cana-2741	35	52	𝑠2	𝑠2	NOUN
cana-2741	35	53	=	=	SYM
cana-2741	35	54	0	0	NUM
cana-2741	35	55	;	;	PUNCT
cana-2741	35	56	𝑚	𝑚	X
cana-2741	35	57	=	=	SYM
cana-2741	35	58	0	0	PROPN
cana-2741	35	59	.	.	PUNCT
cana-2741	36	1	(	(	PUNCT
cana-2741	36	2	2.4	2.4	NUM
cana-2741	36	3	)	)	PUNCT
cana-2741	36	4	at	at	ADP
cana-2741	36	5	𝑢	𝑢	X
cana-2741	36	6	=	=	SYM
cana-2741	36	7	0	0	NUM
cana-2741	36	8	,	,	PUNCT
cana-2741	36	9	𝑑𝑠1	𝑑𝑠1	NOUN
cana-2741	36	10	𝑑𝑢	𝑑𝑢	X
cana-2741	37	1	=	=	NOUN
cana-2741	37	2	0	0	NUM
cana-2741	37	3	;	;	PUNCT
cana-2741	37	4	𝑑𝑠2	𝑑𝑠2	NOUN
cana-2741	37	5	𝑑𝑢	𝑑𝑢	PROPN
cana-2741	37	6	=	=	PROPN
cana-2741	37	7	0	0	NUM
cana-2741	37	8	;	;	PUNCT
cana-2741	37	9	𝑑𝑚	𝑑𝑚	NOUN
cana-2741	37	10	𝑑𝑢	𝑑𝑢	NOUN
cana-2741	37	11	=	=	NOUN
cana-2741	37	12	0	0	PROPN
cana-2741	37	13	.	.	PUNCT
cana-2741	37	14	(	(	PUNCT
cana-2741	37	15	2.5	2.5	NUM
cana-2741	37	16	)	)	PUNCT
cana-2741	37	17	at	at	ADP
cana-2741	37	18	𝑢	𝑢	X
cana-2741	37	19	=	=	SYM
cana-2741	37	20	𝑟	𝑟	NOUN
cana-2741	37	21	,	,	PUNCT
cana-2741	37	22	𝑠1	𝑠1	PROPN
cana-2741	37	23	=	=	PUNCT
cana-2741	37	24	𝕂𝑠1	𝕂𝑠1	NOUN
cana-2741	37	25	𝑇	𝑇	PROPN
cana-2741	37	26	;	;	PUNCT
cana-2741	37	27	𝑠2	𝑠2	NOUN
cana-2741	37	28	=	=	SYM
cana-2741	37	29	𝕂𝑠2	𝕂𝑠2	NOUN
cana-2741	37	30	𝑇	𝑇	PROPN
cana-2741	37	31	;	;	PUNCT
cana-2741	37	32	𝑚	𝑚	X
cana-2741	37	33	=	=	SYM
cana-2741	37	34	𝑚𝑇	𝑚𝑇	NOUN
cana-2741	37	35	(	(	PUNCT
cana-2741	37	36	2.6	2.6	NUM
cana-2741	37	37	)	)	PUNCT
cana-2741	37	38	the	the	DET
cana-2741	37	39	net	net	ADJ
cana-2741	37	40	flux	flux	NOUN
cana-2741	37	41	is	be	AUX
cana-2741	37	42	represented	represent	VERB
cana-2741	37	43	as	as	SCONJ
cana-2741	37	44	𝒞𝔍	𝒞𝔍	PROPN
cana-2741	37	45	=	=	PUNCT
cana-2741	37	46	𝔇𝒮1	𝔇𝒮1	PROPN
cana-2741	37	47	(	(	PUNCT
cana-2741	37	48	𝜕𝑠1	𝜕𝑠1	NOUN
cana-2741	37	49	𝜕𝑢	𝜕𝑢	NOUN
cana-2741	37	50	)	)	PUNCT
cana-2741	37	51	𝑢=𝑟	𝑢=𝑟	PROPN
cana-2741	37	52	(	(	PUNCT
cana-2741	37	53	2.7	2.7	NUM
cana-2741	37	54	)	)	PUNCT
cana-2741	37	55	communications	communication	NOUN
cana-2741	37	56	on	on	ADP
cana-2741	37	57	applied	apply	VERB
cana-2741	37	58	nonlinear	nonlinear	ADJ
cana-2741	37	59	analysis	analysis	NOUN
cana-2741	37	60	issn	issn	NOUN
cana-2741	37	61	:	:	PUNCT
cana-2741	37	62	1074	1074	NUM
cana-2741	37	63	-	-	PUNCT
cana-2741	37	64	133x	133x	NUM
cana-2741	37	65	vol	vol	NOUN
cana-2741	37	66	32	32	NUM
cana-2741	37	67	no	no	NOUN
cana-2741	37	68	.	.	PUNCT
cana-2741	38	1	4s	4s	NUM
cana-2741	38	2	(	(	PUNCT
cana-2741	38	3	2025	2025	NUM
cana-2741	38	4	)	)	PUNCT
cana-2741	38	5	97	97	NUM
cana-2741	39	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-2741	39	2	the	the	DET
cana-2741	39	3	results	result	NOUN
cana-2741	39	4	of	of	ADP
cana-2741	39	5	the	the	DET
cana-2741	39	6	final	final	ADJ
cana-2741	39	7	evaluation	evaluation	NOUN
cana-2741	39	8	should	should	AUX
cana-2741	39	9	be	be	AUX
cana-2741	39	10	presented	present	VERB
cana-2741	39	11	in	in	ADP
cana-2741	39	12	dimensionless	dimensionless	NOUN
cana-2741	39	13	parameters	parameter	NOUN
cana-2741	39	14	before	before	SCONJ
cana-2741	39	15	we	we	PRON
cana-2741	39	16	progress	progress	VERB
cana-2741	39	17	on	on	ADP
cana-2741	39	18	to	to	ADP
cana-2741	39	19	a	a	DET
cana-2741	39	20	complete	complete	ADJ
cana-2741	39	21	mathematical	mathematical	ADJ
cana-2741	39	22	review	review	NOUN
cana-2741	39	23	of	of	ADP
cana-2741	39	24	the	the	DET
cana-2741	39	25	boundary	boundary	ADJ
cana-2741	39	26	value	value	NOUN
cana-2741	39	27	problem	problem	NOUN
cana-2741	39	28	described	describe	VERB
cana-2741	39	29	in	in	ADP
cana-2741	39	30	the	the	DET
cana-2741	39	31	equations	equation	NOUN
cana-2741	39	32	(	(	PUNCT
cana-2741	39	33	2.1)(2.7	2.1)(2.7	NUM
cana-2741	39	34	)	)	PUNCT
cana-2741	39	35	we	we	PRON
cana-2741	39	36	introduce	introduce	VERB
cana-2741	39	37	the	the	DET
cana-2741	39	38	non	non	ADJ
cana-2741	39	39	-	-	ADJ
cana-2741	39	40	dimensional	dimensional	ADJ
cana-2741	39	41	parameters	parameter	NOUN
cana-2741	39	42	as	as	ADP
cana-2741	39	43	,	,	PUNCT
cana-2741	39	44	𝜁	𝜁	PROPN
cana-2741	39	45	=	=	SYM
cana-2741	39	46	𝑠1	𝑠1	PROPN
cana-2741	39	47	𝕂𝑠1𝑇	𝕂𝑠1𝑇	PROPN
cana-2741	39	48	;	;	PUNCT
cana-2741	39	49	𝜂	𝜂	X
cana-2741	39	50	=	=	PUNCT
cana-2741	39	51	𝑠2	𝑠2	PROPN
cana-2741	39	52	𝕂𝑠2𝑇	𝕂𝑠2𝑇	NOUN
cana-2741	39	53	;	;	PUNCT
cana-2741	39	54	𝜃	𝜃	X
cana-2741	39	55	=	=	SYM
cana-2741	39	56	𝑚	𝑚	ADP
cana-2741	39	57	𝑚𝑇	𝑚𝑇	NOUN
cana-2741	39	58	;	;	PUNCT
cana-2741	39	59	𝑋	𝑋	PROPN
cana-2741	39	60	=	=	PUNCT
cana-2741	39	61	𝑢	𝑢	PART
cana-2741	39	62	𝑟	𝑟	NOUN
cana-2741	39	63	;	;	PUNCT
cana-2741	39	64	𝑇	𝑇	PROPN
cana-2741	39	65	=	=	SYM
cana-2741	39	66	𝐷𝑡	𝐷𝑡	PROPN
cana-2741	39	67	𝑟2	𝑟2	NOUN
cana-2741	39	68	;	;	PUNCT
cana-2741	39	69	𝜒𝒮1	𝜒𝒮1	PROPN
cana-2741	39	70	=	=	PUNCT
cana-2741	39	71	𝜌𝑚𝑇𝑟2	𝜌𝑚𝑇𝑟2	PUNCT
cana-2741	39	72	𝔇𝒮1	𝔇𝒮1	PROPN
cana-2741	39	73	;	;	PUNCT
cana-2741	39	74	𝜒𝒮2	𝜒𝒮2	PROPN
cana-2741	39	75	=	=	PUNCT
cana-2741	39	76	𝜌𝑚𝑇𝑟2	𝜌𝑚𝑇𝑟2	PUNCT
cana-2741	39	77	𝔇𝒮2	𝔇𝒮2	PROPN
cana-2741	39	78	;	;	PUNCT
cana-2741	39	79	𝜒ℳ	𝜒ℳ	PROPN
cana-2741	39	80	=	=	PUNCT
cana-2741	39	81	𝜌𝕂𝑠1	𝜌𝕂𝑠1	VERB
cana-2741	39	82	∞𝑟2	∞𝑟2	PUNCT
cana-2741	39	83	𝔇ℳ	𝔇ℳ	PROPN
cana-2741	39	84	(	(	PUNCT
cana-2741	39	85	2.8	2.8	NUM
cana-2741	39	86	)	)	PUNCT
cana-2741	39	87	the	the	DET
cana-2741	39	88	reaction	reaction	NOUN
cana-2741	39	89	diffusion	diffusion	NOUN
cana-2741	39	90	parameters	parameter	NOUN
cana-2741	39	91	𝜒𝒮1	𝜒𝒮1	PROPN
cana-2741	39	92	,	,	PUNCT
cana-2741	39	93	𝜒𝒮2	𝜒𝒮2	PROPN
cana-2741	39	94	and	and	CCONJ
cana-2741	39	95	𝜒ℳ	𝜒ℳ	PROPN
cana-2741	39	96	are	be	AUX
cana-2741	39	97	used	use	VERB
cana-2741	39	98	to	to	PART
cana-2741	39	99	measure	measure	VERB
cana-2741	39	100	the	the	DET
cana-2741	39	101	correlation	correlation	NOUN
cana-2741	39	102	between	between	ADP
cana-2741	39	103	the	the	DET
cana-2741	39	104	chemical	chemical	NOUN
cana-2741	39	105	reaction	reaction	NOUN
cana-2741	39	106	rate	rate	NOUN
cana-2741	39	107	and	and	CCONJ
cana-2741	39	108	the	the	DET
cana-2741	39	109	amount	amount	NOUN
cana-2741	39	110	of	of	ADP
cana-2741	39	111	charge	charge	NOUN
cana-2741	39	112	percolation	percolation	NOUN
cana-2741	39	113	or	or	CCONJ
cana-2741	39	114	substrate	substrate	NOUN
cana-2741	39	115	diffusion	diffusion	NOUN
cana-2741	39	116	.	.	PUNCT
cana-2741	40	1	the	the	DET
cana-2741	40	2	system	system	NOUN
cana-2741	40	3	of	of	ADP
cana-2741	40	4	non	non	ADJ
cana-2741	40	5	-	-	ADJ
cana-2741	40	6	steady	steady	ADJ
cana-2741	40	7	state	state	NOUN
cana-2741	40	8	nonlinear	nonlinear	ADJ
cana-2741	40	9	reaction	reaction	NOUN
cana-2741	40	10	-	-	PUNCT
cana-2741	40	11	diffusion	diffusion	NOUN
cana-2741	40	12	equation	equation	NOUN
cana-2741	40	13	can	can	AUX
cana-2741	40	14	be	be	AUX
cana-2741	40	15	written	write	VERB
cana-2741	40	16	as	as	ADP
cana-2741	40	17	𝜕2𝜁(𝑋	𝜕2𝜁(𝑋	NOUN
cana-2741	40	18	)	)	PUNCT
cana-2741	40	19	𝜕𝑋2	𝜕𝑋2	PUNCT
cana-2741	41	1	+	+	SYM
cana-2741	41	2	2	2	NUM
cana-2741	41	3	𝑋	𝑋	PROPN
cana-2741	41	4	𝜕𝜁(𝑋	𝜕𝜁(𝑋	PROPN
cana-2741	41	5	)	)	PUNCT
cana-2741	41	6	𝜕𝑋	𝜕𝑋	PROPN
cana-2741	41	7	𝜒𝒮1	𝜒𝒮1	PROPN
cana-2741	41	8	𝜁(𝑋)𝜃(𝑋	𝜁(𝑋)𝜃(𝑋	NOUN
cana-2741	41	9	)	)	PUNCT
cana-2741	41	10	=	=	SYM
cana-2741	41	11	𝜕𝜁	𝜕𝜁	NOUN
cana-2741	41	12	𝜕𝑇	𝜕𝑇	X
cana-2741	41	13	(	(	PUNCT
cana-2741	41	14	2.9	2.9	NUM
cana-2741	41	15	)	)	PUNCT
cana-2741	41	16	𝜕2𝜂(𝑋	𝜕2𝜂(𝑋	NOUN
cana-2741	41	17	)	)	PUNCT
cana-2741	41	18	𝜕𝑋2	𝜕𝑋2	PUNCT
cana-2741	41	19	+	+	SYM
cana-2741	41	20	2	2	X
cana-2741	41	21	𝑋	𝑋	PROPN
cana-2741	41	22	𝜕𝜂(𝑋	𝜕𝜂(𝑋	PROPN
cana-2741	41	23	)	)	PUNCT
cana-2741	41	24	𝜕𝑋	𝜕𝑋	PROPN
cana-2741	41	25	𝜒𝒮2	𝜒𝒮2	PROPN
cana-2741	41	26	2	2	NUM
cana-2741	41	27	𝜁(𝑋)𝜃(𝑋	𝜁(𝑋)𝜃(𝑋	NOUN
cana-2741	41	28	)	)	PUNCT
cana-2741	41	29	=	=	SYM
cana-2741	41	30	𝜕𝜂	𝜕𝜂	ADJ
cana-2741	41	31	𝜕𝑇	𝜕𝑇	X
cana-2741	41	32	(	(	PUNCT
cana-2741	41	33	2.10	2.10	NUM
cana-2741	41	34	)	)	PUNCT
cana-2741	41	35	𝜕2𝜃(𝑋	𝜕2𝜃(𝑋	NOUN
cana-2741	41	36	)	)	PUNCT
cana-2741	41	37	𝜕𝑋2	𝜕𝑋2	PUNCT
cana-2741	41	38	+	+	SYM
cana-2741	41	39	2	2	NUM
cana-2741	41	40	𝑋	𝑋	PROPN
cana-2741	41	41	𝜕𝜃(𝑋	𝜕𝜃(𝑋	PROPN
cana-2741	41	42	)	)	PUNCT
cana-2741	41	43	𝜕𝑋	𝜕𝑋	PROPN
cana-2741	41	44	+	+	NOUN
cana-2741	41	45	𝜒ℳ𝜁(𝑋)𝜃(𝑋	𝜒ℳ𝜁(𝑋)𝜃(𝑋	ADV
cana-2741	41	46	)	)	PUNCT
cana-2741	41	47	=	=	PUNCT
cana-2741	41	48	𝜕𝜃	𝜕𝜃	NOUN
cana-2741	41	49	𝜕𝑇	𝜕𝑇	X
cana-2741	41	50	(	(	PUNCT
cana-2741	41	51	2.11	2.11	NUM
cana-2741	41	52	)	)	PUNCT
cana-2741	41	53	the	the	DET
cana-2741	41	54	appropriate	appropriate	ADJ
cana-2741	41	55	boundaries	boundary	NOUN
cana-2741	41	56	were	be	AUX
cana-2741	41	57	expressed	express	VERB
cana-2741	41	58	as	as	ADP
cana-2741	41	59	𝜁(𝑋	𝜁(𝑋	NOUN
cana-2741	41	60	)	)	PUNCT
cana-2741	41	61	=	=	PUNCT
cana-2741	41	62	𝜂(𝑋	𝜂(𝑋	X
cana-2741	41	63	)	)	PUNCT
cana-2741	41	64	=	=	VERB
cana-2741	41	65	𝜃(𝑋)=	𝜃(𝑋)=	ADJ
cana-2741	41	66	0	0	PUNCT
cana-2741	42	1	when	when	SCONJ
cana-2741	42	2	t	t	PROPN
cana-2741	42	3	=	=	SYM
cana-2741	42	4	0	0	NUM
cana-2741	42	5	(	(	PUNCT
cana-2741	42	6	2.12	2.12	NUM
cana-2741	42	7	)	)	PUNCT
cana-2741	42	8	𝜕𝜁(𝑋	𝜕𝜁(𝑋	PROPN
cana-2741	42	9	)	)	PUNCT
cana-2741	42	10	𝜕𝑋	𝜕𝑋	X
cana-2741	42	11	=	=	SYM
cana-2741	42	12	𝜕𝜂(𝑋	𝜕𝜂(𝑋	PROPN
cana-2741	42	13	)	)	PUNCT
cana-2741	42	14	𝜕𝑋	𝜕𝑋	X
cana-2741	42	15	=	=	SYM
cana-2741	42	16	𝜕𝜃(𝑋	𝜕𝜃(𝑋	PROPN
cana-2741	42	17	)	)	PUNCT
cana-2741	42	18	𝜕𝑋	𝜕𝑋	X
cana-2741	43	1	=	=	NOUN
cana-2741	43	2	0	0	PUNCT
cana-2741	43	3	when	when	SCONJ
cana-2741	43	4	x	x	X
cana-2741	43	5	=	=	SYM
cana-2741	43	6	0	0	NUM
cana-2741	43	7	(	(	PUNCT
cana-2741	43	8	2.13	2.13	NUM
cana-2741	43	9	)	)	PUNCT
cana-2741	43	10	𝜁(𝑋	𝜁(𝑋	NOUN
cana-2741	43	11	)	)	PUNCT
cana-2741	43	12	=	=	PUNCT
cana-2741	43	13	𝜂(𝑋	𝜂(𝑋	X
cana-2741	43	14	)	)	PUNCT
cana-2741	43	15	=	=	VERB
cana-2741	43	16	𝜃(𝑋)=	𝜃(𝑋)=	ADJ
cana-2741	43	17	1	1	NUM
cana-2741	43	18	when	when	SCONJ
cana-2741	43	19	x	x	PROPN
cana-2741	43	20	=	=	SYM
cana-2741	43	21	1	1	NUM
cana-2741	43	22	(	(	PUNCT
cana-2741	43	23	2.14	2.14	NUM
cana-2741	43	24	)	)	PUNCT
cana-2741	43	25	the	the	DET
cana-2741	43	26	following	follow	VERB
cana-2741	43	27	equation	equation	NOUN
cana-2741	43	28	represents	represent	VERB
cana-2741	43	29	the	the	DET
cana-2741	43	30	normalized	normalized	ADJ
cana-2741	43	31	current	current	ADJ
cana-2741	43	32	response	response	NOUN
cana-2741	43	33	δ	δ	X
cana-2741	43	34	=	=	SYM
cana-2741	43	35	−𝐷	−𝐷	PROPN
cana-2741	43	36	(	(	PUNCT
cana-2741	43	37	𝜕𝜁(𝑋	𝜕𝜁(𝑋	PROPN
cana-2741	43	38	)	)	PUNCT
cana-2741	43	39	𝜕𝑋	𝜕𝑋	NOUN
cana-2741	43	40	)	)	PUNCT
cana-2741	43	41	𝑋=1	𝑋=1	PROPN
cana-2741	43	42	(	(	PUNCT
cana-2741	43	43	2.15	2.15	NUM
cana-2741	43	44	)	)	PUNCT
cana-2741	43	45	3	3	NUM
cana-2741	43	46	.	.	PUNCT
cana-2741	43	47	analytical	analytical	ADJ
cana-2741	43	48	solution	solution	NOUN
cana-2741	43	49	of	of	ADP
cana-2741	43	50	the	the	DET
cana-2741	43	51	concentrations	concentration	NOUN
cana-2741	43	52	using	use	VERB
cana-2741	43	53	homotopy	homotopy	NOUN
cana-2741	43	54	perturbation	perturbation	NOUN
cana-2741	43	55	method	method	NOUN
cana-2741	43	56	many	many	ADJ
cana-2741	43	57	writers	writer	NOUN
cana-2741	43	58	have	have	AUX
cana-2741	43	59	focused	focus	VERB
cana-2741	43	60	on	on	ADP
cana-2741	43	61	researching	research	VERB
cana-2741	43	62	the	the	DET
cana-2741	43	63	solution	solution	NOUN
cana-2741	43	64	of	of	ADP
cana-2741	43	65	nonlinear	nonlinear	ADJ
cana-2741	43	66	equations	equation	NOUN
cana-2741	43	67	during	during	ADP
cana-2741	43	68	the	the	DET
cana-2741	43	69	past	past	ADJ
cana-2741	43	70	few	few	ADJ
cana-2741	43	71	decades	decade	NOUN
cana-2741	43	72	using	use	VERB
cana-2741	43	73	a	a	DET
cana-2741	43	74	variety	variety	NOUN
cana-2741	43	75	of	of	ADP
cana-2741	43	76	techniques	technique	NOUN
cana-2741	43	77	,	,	PUNCT
cana-2741	43	78	including	include	VERB
cana-2741	43	79	the	the	DET
cana-2741	43	80	homotopy	homotopy	NOUN
cana-2741	43	81	perturbation	perturbation	NOUN
cana-2741	43	82	method14	method14	NOUN
cana-2741	43	83	-	-	PUNCT
cana-2741	43	84	17	17	NUM
cana-2741	43	85	,	,	PUNCT
cana-2741	43	86	taylor	taylor	PROPN
cana-2741	43	87	series	series	PROPN
cana-2741	43	88	method18	method18	PROPN
cana-2741	43	89	-	-	PUNCT
cana-2741	43	90	20	20	NUM
cana-2741	43	91	,	,	PUNCT
cana-2741	43	92	akbari	akbari	PROPN
cana-2741	43	93	ganji	ganji	PROPN
cana-2741	43	94	method21	method21	PROPN
cana-2741	43	95	-	-	PUNCT
cana-2741	43	96	28	28	NUM
cana-2741	43	97	,	,	PUNCT
cana-2741	43	98	variational	variational	ADJ
cana-2741	43	99	iteration	iteration	PROPN
cana-2741	43	100	method29,30	method29,30	PROPN
cana-2741	43	101	.	.	PROPN
cana-2741	43	102	homotopy	homotopy	PROPN
cana-2741	43	103	perturbation	perturbation	NOUN
cana-2741	43	104	method	method	NOUN
cana-2741	43	105	is	be	AUX
cana-2741	43	106	conservative	conservative	ADJ
cana-2741	43	107	in	in	ADP
cana-2741	43	108	its	its	PRON
cana-2741	43	109	efficiency	efficiency	NOUN
cana-2741	43	110	,	,	PUNCT
cana-2741	43	111	applicability	applicability	NOUN
cana-2741	43	112	,	,	PUNCT
cana-2741	43	113	and	and	CCONJ
cana-2741	43	114	accuracy	accuracy	NOUN
cana-2741	43	115	.	.	PUNCT
cana-2741	44	1	the	the	DET
cana-2741	44	2	non	non	ADJ
cana-2741	44	3	-	-	ADJ
cana-2741	44	4	steady	steady	ADJ
cana-2741	44	5	state	state	NOUN
cana-2741	44	6	nonlinear	nonlinear	ADJ
cana-2741	44	7	equations	equation	NOUN
cana-2741	44	8	(	(	PUNCT
cana-2741	44	9	2.9	2.9	NUM
cana-2741	44	10	)	)	PUNCT
cana-2741	44	11	through	through	ADP
cana-2741	44	12	(	(	PUNCT
cana-2741	44	13	2.15	2.15	NUM
cana-2741	44	14	)	)	PUNCT
cana-2741	44	15	may	may	AUX
cana-2741	44	16	be	be	AUX
cana-2741	44	17	solved	solve	VERB
cana-2741	44	18	using	use	VERB
cana-2741	44	19	this	this	DET
cana-2741	44	20	technique	technique	NOUN
cana-2741	44	21	to	to	PART
cana-2741	44	22	provide	provide	VERB
cana-2741	44	23	the	the	DET
cana-2741	44	24	analytical	analytical	ADJ
cana-2741	44	25	formulation	formulation	NOUN
cana-2741	44	26	for	for	ADP
cana-2741	44	27	the	the	DET
cana-2741	44	28	concentration	concentration	NOUN
cana-2741	44	29	of	of	ADP
cana-2741	44	30	species	specie	NOUN
cana-2741	44	31	and	and	CCONJ
cana-2741	44	32	mediator	mediator	NOUN
cana-2741	44	33	.	.	PUNCT
cana-2741	45	1	we	we	PRON
cana-2741	45	2	construct	construct	VERB
cana-2741	45	3	the	the	DET
cana-2741	45	4	homotopy	homotopy	NOUN
cana-2741	45	5	for	for	ADP
cana-2741	45	6	(	(	PUNCT
cana-2741	45	7	2.9	2.9	NUM
cana-2741	45	8	)	)	PUNCT
cana-2741	45	9	–	–	PUNCT
cana-2741	45	10	(	(	PUNCT
cana-2741	45	11	2.11	2.11	NUM
cana-2741	45	12	)	)	PUNCT
cana-2741	45	13	as	as	ADP
cana-2741	45	14	,	,	PUNCT
cana-2741	45	15	(	(	PUNCT
cana-2741	45	16	1	1	NUM
cana-2741	45	17	-	-	PUNCT
cana-2741	45	18	p	p	NOUN
cana-2741	45	19	)	)	PUNCT
cana-2741	45	20	[	[	PUNCT
cana-2741	45	21	𝜕𝜁	𝜕𝜁	NOUN
cana-2741	45	22	𝜕𝑇	𝜕𝑇	PROPN
cana-2741	45	23	−	−	PROPN
cana-2741	46	1	𝜕2𝜁	𝜕2𝜁	PROPN
cana-2741	46	2	𝜕𝑋2	𝜕𝑋2	PUNCT
cana-2741	47	1	−	−	PROPN
cana-2741	47	2	2	2	NUM
cana-2741	47	3	𝑋	𝑋	PROPN
cana-2741	47	4	𝜕𝜁	𝜕𝜁	PROPN
cana-2741	47	5	𝜕𝑋	𝜕𝑋	PROPN
cana-2741	47	6	+	+	X
cana-2741	47	7	𝜒𝒮1	𝜒𝒮1	PROPN
cana-2741	47	8	𝜁𝜃	𝜁𝜃	VERB
cana-2741	47	9	]	]	X
cana-2741	47	10	+	+	CCONJ
cana-2741	47	11	p	p	X
cana-2741	47	12	[	[	PUNCT
cana-2741	47	13	𝜕𝜁	𝜕𝜁	NOUN
cana-2741	47	14	𝜕𝑇	𝜕𝑇	PROPN
cana-2741	47	15	−	−	PROPN
cana-2741	48	1	𝜕2𝜁	𝜕2𝜁	PROPN
cana-2741	48	2	𝜕𝑋2	𝜕𝑋2	PUNCT
cana-2741	49	1	−	−	PROPN
cana-2741	49	2	2	2	NUM
cana-2741	49	3	𝑋	𝑋	PROPN
cana-2741	49	4	𝜕𝜁	𝜕𝜁	PROPN
cana-2741	49	5	𝜕𝑋	𝜕𝑋	PROPN
cana-2741	49	6	+	+	X
cana-2741	49	7	𝜒𝒮1	𝜒𝒮1	PROPN
cana-2741	49	8	𝜁𝜃	𝜁𝜃	VERB
cana-2741	49	9	]	]	X
cana-2741	49	10	=	=	SYM
cana-2741	49	11	0	0	NUM
cana-2741	49	12	(	(	PUNCT
cana-2741	49	13	3.1	3.1	NUM
cana-2741	49	14	)	)	PUNCT
cana-2741	49	15	equation	equation	NOUN
cana-2741	49	16	(	(	PUNCT
cana-2741	49	17	1	1	NUM
cana-2741	49	18	)	)	PUNCT
cana-2741	49	19	(	(	PUNCT
cana-2741	49	20	3	3	X
cana-2741	49	21	)	)	PUNCT
cana-2741	49	22	has	have	VERB
cana-2741	49	23	an	an	DET
cana-2741	49	24	analytical	analytical	ADJ
cana-2741	49	25	solution	solution	NOUN
cana-2741	49	26	as	as	ADP
cana-2741	49	27	,	,	PUNCT
cana-2741	49	28	𝜁	𝜁	PROPN
cana-2741	49	29	=	=	X
cana-2741	49	30	𝜁0	𝜁0	NOUN
cana-2741	50	1	+	+	CCONJ
cana-2741	50	2	𝑝𝜁1	𝑝𝜁1	ADV
cana-2741	50	3	+	+	CCONJ
cana-2741	50	4	𝑝2𝜁2	𝑝2𝜁2	NUM
cana-2741	50	5	+	+	PROPN
cana-2741	50	6	.	.	PUNCT
cana-2741	50	7	.	.	PUNCT
cana-2741	50	8	.	.	PUNCT
cana-2741	50	9	.	.	PUNCT
cana-2741	50	10	.	.	PUNCT
cana-2741	51	1	communications	communication	NOUN
cana-2741	51	2	on	on	ADP
cana-2741	51	3	applied	apply	VERB
cana-2741	51	4	nonlinear	nonlinear	ADJ
cana-2741	51	5	analysis	analysis	NOUN
cana-2741	51	6	issn	issn	NOUN
cana-2741	51	7	:	:	PUNCT
cana-2741	51	8	1074	1074	NUM
cana-2741	51	9	-	-	PUNCT
cana-2741	51	10	133x	133x	NUM
cana-2741	51	11	vol	vol	NOUN
cana-2741	51	12	32	32	NUM
cana-2741	51	13	no	no	NOUN
cana-2741	51	14	.	.	PUNCT
cana-2741	52	1	4s	4s	NUM
cana-2741	52	2	(	(	PUNCT
cana-2741	52	3	2025	2025	NUM
cana-2741	52	4	)	)	PUNCT
cana-2741	52	5	98	98	NUM
cana-2741	52	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2741	52	7	𝜃	𝜃	X
cana-2741	52	8	=	=	PUNCT
cana-2741	52	9	𝜃0	𝜃0	VERB
cana-2741	52	10	+	+	NOUN
cana-2741	53	1	𝑝𝜃1	𝑝𝜃1	NOUN
cana-2741	54	1	+	+	NUM
cana-2741	54	2	𝑝2𝜃2	𝑝2𝜃2	DET
cana-2741	54	3	+	+	PROPN
cana-2741	54	4	.	.	PUNCT
cana-2741	54	5	.	.	PUNCT
cana-2741	54	6	.	.	PUNCT
cana-2741	55	1	.	.	PUNCT
cana-2741	55	2	.	.	PUNCT
cana-2741	56	1	(	(	PUNCT
cana-2741	56	2	3.2	3.2	NUM
cana-2741	56	3	)	)	PUNCT
cana-2741	56	4	substituting	substituting	NOUN
cana-2741	56	5	(	(	PUNCT
cana-2741	56	6	3.2	3.2	NUM
cana-2741	56	7	)	)	PUNCT
cana-2741	56	8	in	in	ADP
cana-2741	56	9	(	(	PUNCT
cana-2741	56	10	3.1	3.1	NUM
cana-2741	56	11	)	)	PUNCT
cana-2741	56	12	and	and	CCONJ
cana-2741	56	13	comparing	compare	VERB
cana-2741	56	14	the	the	DET
cana-2741	56	15	coefficients	coefficient	NOUN
cana-2741	56	16	of	of	ADP
cana-2741	56	17	p	p	NOUN
cana-2741	56	18	,	,	PUNCT
cana-2741	56	19	we	we	PRON
cana-2741	56	20	get	get	VERB
cana-2741	56	21	𝑝0	𝑝0	NOUN
cana-2741	56	22	=	=	SYM
cana-2741	56	23	𝜕𝜁0	𝜕𝜁0	NOUN
cana-2741	56	24	𝜕𝑇	𝜕𝑇	PRON
cana-2741	56	25	−	−	PROPN
cana-2741	56	26	𝜕2𝜁0	𝜕2𝜁0	X
cana-2741	56	27	𝜕𝑋2	𝜕𝑋2	PUNCT
cana-2741	56	28	−	−	PROPN
cana-2741	56	29	2	2	NUM
cana-2741	56	30	𝑋	𝑋	PROPN
cana-2741	56	31	𝜕𝜁0	𝜕𝜁0	NOUN
cana-2741	56	32	𝜕𝑋	𝜕𝑋	X
cana-2741	56	33	−	−	NOUN
cana-2741	56	34	𝜒𝒮1	𝜒𝒮1	PROPN
cana-2741	56	35	𝜁0	𝜁0	NOUN
cana-2741	56	36	=	=	PUNCT
cana-2741	56	37	0	0	NUM
cana-2741	56	38	(	(	PUNCT
cana-2741	56	39	3.3	3.3	NUM
cana-2741	56	40	)	)	PUNCT
cana-2741	56	41	in	in	ADP
cana-2741	56	42	laplace	laplace	NOUN
cana-2741	56	43	plane	plane	NOUN
cana-2741	56	44	,	,	PUNCT
cana-2741	56	45	(	(	PUNCT
cana-2741	56	46	3.3	3.3	NUM
cana-2741	56	47	)	)	PUNCT
cana-2741	56	48	can	can	AUX
cana-2741	56	49	be	be	AUX
cana-2741	56	50	written	write	VERB
cana-2741	56	51	as	as	ADP
cana-2741	56	52	,	,	PUNCT
cana-2741	56	53	𝑑2𝜁0	𝑑2𝜁0	X
cana-2741	56	54	𝑑𝑋2	𝑑𝑋2	PROPN
cana-2741	56	55	+	+	CCONJ
cana-2741	57	1	2	2	NUM
cana-2741	57	2	𝑋	𝑋	NOUN
cana-2741	57	3	𝑑𝜁0	𝑑𝜁0	NOUN
cana-2741	57	4	𝑑𝑋	𝑑𝑋	PROPN
cana-2741	57	5	−	−	PROPN
cana-2741	57	6	(	(	PUNCT
cana-2741	57	7	s	s	X
cana-2741	57	8	+	+	CCONJ
cana-2741	57	9	𝜒𝒮1	𝜒𝒮1	PROPN
cana-2741	57	10	)	)	PUNCT
cana-2741	57	11	𝜁0	𝜁0	NOUN
cana-2741	57	12	=	=	SYM
cana-2741	57	13	0	0	NUM
cana-2741	57	14	(	(	PUNCT
cana-2741	57	15	3.4	3.4	NUM
cana-2741	57	16	)	)	PUNCT
cana-2741	57	17	subject	subject	NOUN
cana-2741	57	18	to	to	ADP
cana-2741	57	19	the	the	DET
cana-2741	57	20	boundary	boundary	ADJ
cana-2741	57	21	conditions	condition	NOUN
cana-2741	57	22	,	,	PUNCT
cana-2741	57	23	𝑑𝜁0	𝑑𝜁0	ADV
cana-2741	57	24	𝑑𝑋	𝑑𝑋	PROPN
cana-2741	57	25	(	(	PUNCT
cana-2741	57	26	0	0	NUM
cana-2741	57	27	)	)	PUNCT
cana-2741	57	28	=	=	SYM
cana-2741	57	29	0	0	NUM
cana-2741	57	30	;	;	PUNCT
cana-2741	57	31	𝜁0(1	𝜁0(1	NOUN
cana-2741	57	32	)	)	PUNCT
cana-2741	57	33	=	=	SYM
cana-2741	58	1	1	1	NUM
cana-2741	58	2	𝑠	𝑠	PROPN
cana-2741	58	3	(	(	PUNCT
cana-2741	58	4	3.5	3.5	NUM
cana-2741	58	5	)	)	PUNCT
cana-2741	58	6	by	by	ADP
cana-2741	58	7	reduction	reduction	NOUN
cana-2741	58	8	of	of	ADP
cana-2741	58	9	order	order	NOUN
cana-2741	58	10	,	,	PUNCT
cana-2741	58	11	we	we	PRON
cana-2741	58	12	consider	consider	VERB
cana-2741	58	13	the	the	DET
cana-2741	58	14	equation	equation	NOUN
cana-2741	58	15	𝑑2𝜁0	𝑑2𝜁0	X
cana-2741	58	16	𝑑𝑋2	𝑑𝑋2	PROPN
cana-2741	58	17	+	+	CCONJ
cana-2741	58	18	𝑃	𝑃	VERB
cana-2741	58	19	𝑑𝜁0	𝑑𝜁0	NOUN
cana-2741	58	20	𝑑𝑋	𝑑𝑋	ADJ
cana-2741	58	21	−	−	NOUN
cana-2741	58	22	q𝜁0	q𝜁0	PROPN
cana-2741	58	23	=	=	SYM
cana-2741	58	24	𝑅	𝑅	PROPN
cana-2741	58	25	(	(	PUNCT
cana-2741	58	26	3.6	3.6	NUM
cana-2741	58	27	)	)	PUNCT
cana-2741	58	28	comparing	compare	VERB
cana-2741	58	29	(	(	PUNCT
cana-2741	58	30	3.4	3.4	NUM
cana-2741	58	31	)	)	PUNCT
cana-2741	58	32	and	and	CCONJ
cana-2741	58	33	(	(	PUNCT
cana-2741	58	34	3.6	3.6	NUM
cana-2741	58	35	)	)	PUNCT
cana-2741	58	36	,	,	PUNCT
cana-2741	58	37	p	p	NOUN
cana-2741	58	38	=	=	SYM
cana-2741	58	39	2	2	NUM
cana-2741	58	40	𝑋	𝑋	NOUN
cana-2741	58	41	;	;	PUNCT
cana-2741	58	42	q	q	X
cana-2741	58	43	=	=	SYM
cana-2741	58	44	−(s	−(s	PROPN
cana-2741	58	45	+	+	CCONJ
cana-2741	58	46	𝜒𝒮1	𝜒𝒮1	PROPN
cana-2741	58	47	)	)	PUNCT
cana-2741	58	48	;	;	PUNCT
cana-2741	58	49	r	r	NOUN
cana-2741	58	50	=	=	SYM
cana-2741	58	51	0	0	NUM
cana-2741	58	52	(	(	PUNCT
cana-2741	58	53	3.7	3.7	NUM
cana-2741	58	54	)	)	PUNCT
cana-2741	58	55	consider	consider	VERB
cana-2741	58	56	𝜁0	𝜁0	ADJ
cana-2741	58	57	=	=	PUNCT
cana-2741	58	58	𝜃𝜂	𝜃𝜂	X
cana-2741	58	59	(	(	PUNCT
cana-2741	58	60	3.8	3.8	NUM
cana-2741	58	61	)	)	PUNCT
cana-2741	58	62	the	the	DET
cana-2741	58	63	general	general	ADJ
cana-2741	58	64	solution	solution	NOUN
cana-2741	58	65	of	of	ADP
cana-2741	58	66	(	(	PUNCT
cana-2741	58	67	21	21	NUM
cana-2741	58	68	)	)	PUNCT
cana-2741	58	69	represented	represent	VERB
cana-2741	58	70	as	as	ADP
cana-2741	58	71	2	2	NUM
cana-2741	58	72	𝑑𝜃	𝑑𝜃	ADP
cana-2741	58	73	𝑑𝑋	𝑑𝑋	PROPN
cana-2741	59	1	+	+	NUM
cana-2741	59	2	p𝜃	p𝜃	PROPN
cana-2741	59	3	=	=	SYM
cana-2741	59	4	0	0	NUM
cana-2741	59	5	(	(	PUNCT
cana-2741	59	6	3.9	3.9	NUM
cana-2741	59	7	)	)	PUNCT
cana-2741	59	8	then	then	ADV
cana-2741	59	9	𝜃	𝜃	X
cana-2741	59	10	=	=	SYM
cana-2741	59	11	1	1	NUM
cana-2741	59	12	𝑋	𝑋	NOUN
cana-2741	59	13	(	(	PUNCT
cana-2741	59	14	3.10	3.10	NUM
cana-2741	59	15	)	)	PUNCT
cana-2741	59	16	equation	equation	NOUN
cana-2741	59	17	(	(	PUNCT
cana-2741	59	18	3.6	3.6	NUM
cana-2741	59	19	)	)	PUNCT
cana-2741	59	20	and	and	CCONJ
cana-2741	59	21	(	(	PUNCT
cana-2741	59	22	3.7	3.7	NUM
cana-2741	59	23	)	)	PUNCT
cana-2741	59	24	reduces	reduce	VERB
cana-2741	59	25	to	to	ADP
cana-2741	59	26	𝜂′′	𝜂′′	PROPN
cana-2741	59	27	−(s	−(s	PROPN
cana-2741	59	28	+	+	CCONJ
cana-2741	59	29	𝜒𝒮1	𝜒𝒮1	PROPN
cana-2741	59	30	)	)	PUNCT
cana-2741	59	31	𝜂	𝜂	NOUN
cana-2741	59	32	=	=	SYM
cana-2741	59	33	0	0	NUM
cana-2741	59	34	(	(	PUNCT
cana-2741	59	35	3.11	3.11	NUM
cana-2741	59	36	)	)	PUNCT
cana-2741	59	37	integrating	integrating	NOUN
cana-2741	59	38	(	(	PUNCT
cana-2741	59	39	3.11	3.11	NUM
cana-2741	59	40	)	)	PUNCT
cana-2741	59	41	twice	twice	ADV
cana-2741	59	42	,	,	PUNCT
cana-2741	59	43	we	we	PRON
cana-2741	59	44	get	get	VERB
cana-2741	59	45	𝜂	𝜂	NOUN
cana-2741	59	46	=	=	SYM
cana-2741	59	47	a𝑒(√s+𝜒𝒮1	a𝑒(√s+𝜒𝒮1	PROPN
cana-2741	59	48	)	)	PUNCT
cana-2741	59	49	𝑋	𝑋	PROPN
cana-2741	59	50	+	+	CCONJ
cana-2741	59	51	b𝑒(−√s+𝜒𝒮1	b𝑒(−√s+𝜒𝒮1	NOUN
cana-2741	59	52	)	)	PUNCT
cana-2741	59	53	𝑋	𝑋	NOUN
cana-2741	59	54	(	(	PUNCT
cana-2741	59	55	3.12	3.12	NUM
cana-2741	59	56	)	)	PUNCT
cana-2741	59	57	substituting	substituting	NOUN
cana-2741	59	58	(	(	PUNCT
cana-2741	59	59	3.12	3.12	NUM
cana-2741	59	60	)	)	PUNCT
cana-2741	59	61	and	and	CCONJ
cana-2741	59	62	(	(	PUNCT
cana-2741	59	63	3.10	3.10	NUM
cana-2741	59	64	)	)	PUNCT
cana-2741	59	65	in	in	ADP
cana-2741	59	66	(	(	PUNCT
cana-2741	59	67	3.8	3.8	NUM
cana-2741	59	68	)	)	PUNCT
cana-2741	59	69	and	and	CCONJ
cana-2741	59	70	then	then	ADV
cana-2741	59	71	using	use	VERB
cana-2741	59	72	boundary	boundary	ADJ
cana-2741	59	73	conditions	condition	NOUN
cana-2741	59	74	,	,	PUNCT
cana-2741	59	75	we	we	PRON
cana-2741	59	76	obtain	obtain	VERB
cana-2741	59	77	𝜁0(𝑋	𝜁0(𝑋	PROPN
cana-2741	59	78	,	,	PUNCT
cana-2741	59	79	𝑠	𝑠	NOUN
cana-2741	59	80	)	)	PUNCT
cana-2741	59	81	=	=	SYM
cana-2741	59	82	1	1	NUM
cana-2741	59	83	𝑋	𝑋	PROPN
cana-2741	59	84	[	[	PUNCT
cana-2741	59	85	sinh	sinh	NOUN
cana-2741	59	86	(	(	PUNCT
cana-2741	59	87	√s+𝜒𝒮1	√s+𝜒𝒮1	NOUN
cana-2741	59	88	𝑋	𝑋	PROPN
cana-2741	59	89	)	)	PUNCT
cana-2741	59	90	𝑠.sinh	𝑠.sinh	ADV
cana-2741	59	91	(	(	PUNCT
cana-2741	59	92	√s+𝜒𝒮1	√s+𝜒𝒮1	PROPN
cana-2741	59	93	)	)	PUNCT
cana-2741	59	94	]	]	PUNCT
cana-2741	59	95	(	(	PUNCT
cana-2741	59	96	3.13	3.13	NUM
cana-2741	59	97	)	)	PUNCT
cana-2741	59	98	employing	employ	VERB
cana-2741	59	99	inverse	inverse	ADJ
cana-2741	59	100	laplace	laplace	NOUN
cana-2741	59	101	transform	transform	NOUN
cana-2741	59	102	,	,	PUNCT
cana-2741	59	103	the	the	DET
cana-2741	59	104	concentration	concentration	NOUN
cana-2741	59	105	of	of	ADP
cana-2741	59	106	species	specie	NOUN
cana-2741	59	107	𝑠1	𝑠1	PROPN
cana-2741	59	108	can	can	AUX
cana-2741	59	109	be	be	AUX
cana-2741	59	110	represented	represent	VERB
cana-2741	59	111	as	as	ADP
cana-2741	59	112	,	,	PUNCT
cana-2741	59	113	𝜁	𝜁	PROPN
cana-2741	59	114	(	(	PUNCT
cana-2741	59	115	𝑋	𝑋	PROPN
cana-2741	59	116	,	,	PUNCT
cana-2741	59	117	𝑇	𝑇	PROPN
cana-2741	59	118	)	)	PUNCT
cana-2741	59	119	=	=	PUNCT
cana-2741	59	120	sinh	sinh	NOUN
cana-2741	59	121	(	(	PUNCT
cana-2741	59	122	√𝜒𝒮1	√𝜒𝒮1	NOUN
cana-2741	59	123	𝑋	𝑋	PROPN
cana-2741	59	124	)	)	PUNCT
cana-2741	59	125	𝑋sinh	𝑋sinh	PROPN
cana-2741	59	126	(	(	PUNCT
cana-2741	59	127	√𝜒𝒮1	√𝜒𝒮1	NOUN
cana-2741	59	128	)	)	PUNCT
cana-2741	60	1	+	+	NUM
cana-2741	60	2	2𝜋	2𝜋	NOUN
cana-2741	60	3	𝑋	𝑋	NOUN
cana-2741	60	4	∑	∑	PROPN
cana-2741	60	5	[	[	PUNCT
cana-2741	60	6	𝑛(−1)𝑛+1sin	𝑛(−1)𝑛+1sin	X
cana-2741	60	7	(	(	PUNCT
cana-2741	60	8	𝑛𝜋𝑋)𝑒	𝑛𝜋𝑋)𝑒	NUM
cana-2741	60	9	−(𝑛2𝜋2+𝜒𝒮1	−(𝑛2𝜋2+𝜒𝒮1	NOUN
cana-2741	60	10	)	)	PUNCT
cana-2741	60	11	𝑇	𝑇	PROPN
cana-2741	60	12	(	(	PUNCT
cana-2741	60	13	𝑛2𝜋2+𝜒𝒮1	𝑛2𝜋2+𝜒𝒮1	NOUN
cana-2741	60	14	)	)	PUNCT
cana-2741	60	15	]	]	PUNCT
cana-2741	60	16	∞	∞	NUM
cana-2741	60	17	𝑛=1	𝑛=1	NOUN
cana-2741	60	18	(	(	PUNCT
cana-2741	60	19	3.14	3.14	NUM
cana-2741	60	20	)	)	PUNCT
cana-2741	60	21	3.1	3.1	NUM
cana-2741	60	22	.	.	PUNCT
cana-2741	60	23	relation	relation	NOUN
cana-2741	60	24	between	between	ADP
cana-2741	60	25	the	the	DET
cana-2741	60	26	concentration	concentration	NOUN
cana-2741	60	27	of	of	ADP
cana-2741	60	28	species	specie	NOUN
cana-2741	60	29	𝒔𝟏	𝒔𝟏	ADV
cana-2741	60	30	and	and	CCONJ
cana-2741	60	31	𝒔𝟐	𝒔𝟐	VERB
cana-2741	60	32	utilizing	utilize	VERB
cana-2741	60	33	equation	equation	NOUN
cana-2741	60	34	(	(	PUNCT
cana-2741	60	35	2.9	2.9	NUM
cana-2741	60	36	)	)	PUNCT
cana-2741	60	37	and	and	CCONJ
cana-2741	60	38	(	(	PUNCT
cana-2741	60	39	2.10	2.10	NUM
cana-2741	60	40	)	)	PUNCT
cana-2741	60	41	,	,	PUNCT
cana-2741	60	42	we	we	PRON
cana-2741	60	43	derive	derive	VERB
cana-2741	60	44	the	the	DET
cana-2741	60	45	equation	equation	NOUN
cana-2741	60	46	as	as	ADP
cana-2741	60	47	,	,	PUNCT
cana-2741	60	48	𝜕2	𝜕2	NOUN
cana-2741	60	49	𝜕𝑋2	𝜕𝑋2	PROPN
cana-2741	60	50	(	(	PUNCT
cana-2741	60	51	𝜁𝜒𝒮2	𝜁𝜒𝒮2	NOUN
cana-2741	60	52	2	2	NUM
cana-2741	60	53	−	−	NOUN
cana-2741	60	54	𝜂𝜒𝒮1	𝜂𝜒𝒮1	NOUN
cana-2741	60	55	)	)	PUNCT
cana-2741	61	1	+	+	CCONJ
cana-2741	61	2	2	2	NUM
cana-2741	61	3	𝑋	𝑋	PROPN
cana-2741	61	4	𝜕	𝜕	PROPN
cana-2741	61	5	𝜕𝑋	𝜕𝑋	PROPN
cana-2741	61	6	(	(	PUNCT
cana-2741	61	7	𝜁𝜒𝒮2	𝜁𝜒𝒮2	NOUN
cana-2741	61	8	2	2	NUM
cana-2741	61	9	−	−	NOUN
cana-2741	61	10	𝜂𝜒𝒮1	𝜂𝜒𝒮1	NOUN
cana-2741	61	11	)	)	PUNCT
cana-2741	62	1	−	−	PROPN
cana-2741	62	2	𝜕	𝜕	NOUN
cana-2741	62	3	𝜕𝑇	𝜕𝑇	PROPN
cana-2741	62	4	(	(	PUNCT
cana-2741	62	5	𝜁𝜒𝒮2	𝜁𝜒𝒮2	NOUN
cana-2741	62	6	2	2	NUM
cana-2741	62	7	−	−	NOUN
cana-2741	62	8	𝜂𝜒𝒮1	𝜂𝜒𝒮1	NOUN
cana-2741	62	9	)	)	PUNCT
cana-2741	62	10	=	=	SYM
cana-2741	62	11	0	0	PUNCT
cana-2741	62	12	(	(	PUNCT
cana-2741	62	13	3.15	3.15	NUM
cana-2741	62	14	)	)	PUNCT
cana-2741	62	15	communications	communication	NOUN
cana-2741	62	16	on	on	ADP
cana-2741	62	17	applied	apply	VERB
cana-2741	62	18	nonlinear	nonlinear	ADJ
cana-2741	62	19	analysis	analysis	NOUN
cana-2741	62	20	issn	issn	NOUN
cana-2741	62	21	:	:	PUNCT
cana-2741	62	22	1074	1074	NUM
cana-2741	62	23	-	-	PUNCT
cana-2741	62	24	133x	133x	NUM
cana-2741	62	25	vol	vol	NOUN
cana-2741	62	26	32	32	NUM
cana-2741	62	27	no	no	NOUN
cana-2741	62	28	.	.	PUNCT
cana-2741	63	1	4s	4s	NUM
cana-2741	63	2	(	(	PUNCT
cana-2741	63	3	2025	2025	NUM
cana-2741	63	4	)	)	PUNCT
cana-2741	63	5	99	99	NUM
cana-2741	63	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2741	63	7	consider	consider	VERB
cana-2741	63	8	k	k	PROPN
cana-2741	63	9	=	=	SYM
cana-2741	63	10	𝜁𝜒𝒮2	𝜁𝜒𝒮2	PROPN
cana-2741	63	11	2	2	NUM
cana-2741	63	12	−	−	NOUN
cana-2741	63	13	𝜂𝜒𝒮1	𝜂𝜒𝒮1	NOUN
cana-2741	63	14	(	(	PUNCT
cana-2741	63	15	3.16	3.16	NUM
cana-2741	63	16	)	)	PUNCT
cana-2741	63	17	equation	equation	NOUN
cana-2741	63	18	(	(	PUNCT
cana-2741	63	19	3.15	3.15	NUM
cana-2741	63	20	)	)	PUNCT
cana-2741	63	21	can	can	AUX
cana-2741	63	22	be	be	AUX
cana-2741	63	23	written	write	VERB
cana-2741	63	24	as	as	ADP
cana-2741	63	25	𝜕2𝐾	𝜕2𝐾	PROPN
cana-2741	63	26	𝜕𝑋2	𝜕𝑋2	PROPN
cana-2741	63	27	+	+	NUM
cana-2741	63	28	2	2	NUM
cana-2741	63	29	𝑋	𝑋	NOUN
cana-2741	63	30	𝜕𝐾	𝜕𝐾	X
cana-2741	63	31	𝜕𝑋	𝜕𝑋	X
cana-2741	63	32	−	−	X
cana-2741	63	33	𝜕𝐾	𝜕𝐾	X
cana-2741	63	34	𝜕𝑇	𝜕𝑇	X
cana-2741	63	35	=	=	SYM
cana-2741	63	36	0	0	NUM
cana-2741	63	37	(	(	PUNCT
cana-2741	63	38	3.17	3.17	NUM
cana-2741	63	39	)	)	PUNCT
cana-2741	63	40	subject	subject	NOUN
cana-2741	63	41	to	to	ADP
cana-2741	63	42	the	the	DET
cana-2741	63	43	boundary	boundary	ADJ
cana-2741	63	44	conditions	condition	NOUN
cana-2741	63	45	,	,	PUNCT
cana-2741	63	46	at	at	ADP
cana-2741	63	47	t	t	NOUN
cana-2741	63	48	=	=	SYM
cana-2741	63	49	0	0	PROPN
cana-2741	63	50	,	,	PUNCT
cana-2741	63	51	k	k	X
cana-2741	64	1	=	=	NOUN
cana-2741	64	2	0	0	NUM
cana-2741	64	3	;	;	PUNCT
cana-2741	64	4	(	(	PUNCT
cana-2741	64	5	3.18	3.18	NUM
cana-2741	64	6	)	)	PUNCT
cana-2741	64	7	at	at	ADP
cana-2741	64	8	x	x	X
cana-2741	64	9	=	=	SYM
cana-2741	64	10	0	0	NUM
cana-2741	64	11	,	,	PUNCT
cana-2741	64	12	𝜕𝐾	𝜕𝐾	X
cana-2741	64	13	𝜕𝑋	𝜕𝑋	X
cana-2741	64	14	=	=	NOUN
cana-2741	64	15	0	0	NUM
cana-2741	64	16	;	;	PUNCT
cana-2741	64	17	(	(	PUNCT
cana-2741	64	18	3.19	3.19	NUM
cana-2741	64	19	)	)	PUNCT
cana-2741	64	20	at	at	ADP
cana-2741	64	21	x=	x=	PROPN
cana-2741	64	22	1	1	NUM
cana-2741	64	23	,	,	PUNCT
cana-2741	64	24	k	k	PROPN
cana-2741	64	25	=	=	PUNCT
cana-2741	64	26	𝜒𝒮2	𝜒𝒮2	PROPN
cana-2741	64	27	2	2	NUM
cana-2741	64	28	−	−	NOUN
cana-2741	64	29	𝜒𝒮1	𝜒𝒮1	PROPN
cana-2741	64	30	(	(	PUNCT
cana-2741	64	31	3.20	3.20	NUM
cana-2741	64	32	)	)	PUNCT
cana-2741	64	33	applying	apply	VERB
cana-2741	64	34	laplace	laplace	NOUN
cana-2741	64	35	transform	transform	NOUN
cana-2741	64	36	for	for	ADP
cana-2741	64	37	equation	equation	NOUN
cana-2741	64	38	(	(	PUNCT
cana-2741	64	39	3.17	3.17	NUM
cana-2741	64	40	)	)	PUNCT
cana-2741	64	41	and	and	CCONJ
cana-2741	64	42	then	then	ADV
cana-2741	64	43	solving	solve	VERB
cana-2741	64	44	by	by	ADP
cana-2741	64	45	the	the	DET
cana-2741	64	46	use	use	NOUN
cana-2741	64	47	of	of	ADP
cana-2741	64	48	the	the	DET
cana-2741	64	49	boundary	boundary	ADJ
cana-2741	64	50	conditions	condition	NOUN
cana-2741	64	51	(	(	PUNCT
cana-2741	64	52	3.18)-(3.20	3.18)-(3.20	NUM
cana-2741	64	53	)	)	PUNCT
cana-2741	64	54	,	,	PUNCT
cana-2741	64	55	we	we	PRON
cana-2741	64	56	get	get	VERB
cana-2741	64	57	k(x	k(x	PROPN
cana-2741	64	58	,	,	PUNCT
cana-2741	64	59	t	t	PROPN
cana-2741	64	60	)	)	PUNCT
cana-2741	64	61	=	=	SYM
cana-2741	64	62	(	(	PUNCT
cana-2741	64	63	𝜒𝒮2	𝜒𝒮2	PROPN
cana-2741	64	64	2	2	NUM
cana-2741	64	65	−	−	PROPN
cana-2741	64	66	𝜒𝒮1	𝜒𝒮1	PROPN
cana-2741	64	67	)	)	PUNCT
cana-2741	65	1	[	[	X
cana-2741	65	2	1	1	NUM
cana-2741	65	3	+	+	NUM
cana-2741	65	4	2𝜋	2𝜋	NUM
cana-2741	65	5	∑	∑	PUNCT
cana-2741	65	6	𝑛(−1)𝑛+1sin	𝑛(−1)𝑛+1sin	X
cana-2741	65	7	(	(	PUNCT
cana-2741	65	8	𝑛𝜋𝑋)𝑒−(𝑛2𝜋2𝑇)∞	𝑛𝜋𝑋)𝑒−(𝑛2𝜋2𝑇)∞	X
cana-2741	65	9	𝑛=1	𝑛=1	NOUN
cana-2741	65	10	]	]	PUNCT
cana-2741	65	11	(	(	PUNCT
cana-2741	65	12	3.21	3.21	NUM
cana-2741	65	13	)	)	PUNCT
cana-2741	65	14	by	by	ADP
cana-2741	65	15	(	(	PUNCT
cana-2741	65	16	3.16	3.16	NUM
cana-2741	65	17	)	)	PUNCT
cana-2741	65	18	,	,	PUNCT
cana-2741	65	19	we	we	PRON
cana-2741	65	20	obtain	obtain	VERB
cana-2741	65	21	the	the	DET
cana-2741	65	22	concentration	concentration	NOUN
cana-2741	65	23	of	of	ADP
cana-2741	65	24	species	specie	NOUN
cana-2741	65	25	𝑠2	𝑠2	NOUN
cana-2741	65	26	as	as	SCONJ
cana-2741	65	27	expressed	express	VERB
cana-2741	65	28	as	as	ADP
cana-2741	65	29	𝜂	𝜂	PROPN
cana-2741	65	30	(	(	PUNCT
cana-2741	65	31	𝑋	𝑋	PROPN
cana-2741	65	32	,	,	PUNCT
cana-2741	65	33	𝑇	𝑇	PROPN
cana-2741	65	34	)	)	PUNCT
cana-2741	65	35	=	=	SYM
cana-2741	65	36	𝜒𝒮2	𝜒𝒮2	PROPN
cana-2741	65	37	[	[	PUNCT
cana-2741	65	38	𝜁	𝜁	PROPN
cana-2741	65	39	(	(	PUNCT
cana-2741	65	40	𝑋,𝑇	𝑋,𝑇	NOUN
cana-2741	65	41	)	)	PUNCT
cana-2741	65	42	]	]	PUNCT
cana-2741	66	1	2𝜒𝒮1	2𝜒𝒮1	NUM
cana-2741	66	2	−	−	PROPN
cana-2741	66	3	(	(	PUNCT
cana-2741	66	4	𝜒𝒮2	𝜒𝒮2	PROPN
cana-2741	66	5	2𝜒𝒮1	2𝜒𝒮1	NUM
cana-2741	66	6	−	−	PROPN
cana-2741	66	7	1	1	NUM
cana-2741	66	8	)	)	PUNCT
cana-2741	66	9	(	(	PUNCT
cana-2741	66	10	1	1	NUM
cana-2741	66	11	+	+	NUM
cana-2741	66	12	2𝜋	2𝜋	NOUN
cana-2741	66	13	𝑋	𝑋	NOUN
cana-2741	66	14	∑	∑	PROPN
cana-2741	66	15	[	[	PUNCT
cana-2741	66	16	𝑛(−1)𝑛+1sin	𝑛(−1)𝑛+1sin	X
cana-2741	66	17	(	(	PUNCT
cana-2741	66	18	𝑛𝜋𝑋)𝑒−(𝑛2𝜋2𝑇	𝑛𝜋𝑋)𝑒−(𝑛2𝜋2𝑇	NUM
cana-2741	66	19	)	)	PUNCT
cana-2741	66	20	𝑛2𝜋2	𝑛2𝜋2	X
cana-2741	66	21	]	]	PUNCT
cana-2741	66	22	∞	∞	NUM
cana-2741	66	23	𝑛=1	𝑛=1	NOUN
cana-2741	66	24	)	)	PUNCT
cana-2741	66	25	(	(	PUNCT
cana-2741	66	26	3.22	3.22	NUM
cana-2741	66	27	)	)	PUNCT
cana-2741	66	28	3.2	3.2	NUM
cana-2741	66	29	.	.	PUNCT
cana-2741	67	1	relation	relation	NOUN
cana-2741	67	2	between	between	ADP
cana-2741	67	3	the	the	DET
cana-2741	67	4	concentration	concentration	NOUN
cana-2741	67	5	of	of	ADP
cana-2741	67	6	species	specie	NOUN
cana-2741	67	7	𝒔𝟏	𝒔𝟏	ADV
cana-2741	67	8	and	and	CCONJ
cana-2741	67	9	mediator	mediator	NOUN
cana-2741	67	10	employing	employing	NOUN
cana-2741	67	11	equation	equation	NOUN
cana-2741	67	12	(	(	PUNCT
cana-2741	67	13	2.9	2.9	NUM
cana-2741	67	14	)	)	PUNCT
cana-2741	67	15	and	and	CCONJ
cana-2741	67	16	(	(	PUNCT
cana-2741	67	17	2.11	2.11	NUM
cana-2741	67	18	)	)	PUNCT
cana-2741	67	19	,	,	PUNCT
cana-2741	67	20	we	we	PRON
cana-2741	67	21	express	express	VERB
cana-2741	67	22	the	the	DET
cana-2741	67	23	equation	equation	NOUN
cana-2741	67	24	as	as	ADP
cana-2741	67	25	,	,	PUNCT
cana-2741	67	26	𝜕2	𝜕2	PROPN
cana-2741	67	27	𝜕𝑋2	𝜕𝑋2	PROPN
cana-2741	67	28	(	(	PUNCT
cana-2741	67	29	𝜁𝜒ℳ	𝜁𝜒ℳ	NOUN
cana-2741	67	30	−	−	PROPN
cana-2741	67	31	𝜃𝜒𝒮1	𝜃𝜒𝒮1	PROPN
cana-2741	67	32	)	)	PUNCT
cana-2741	68	1	+	+	CCONJ
cana-2741	68	2	2	2	NUM
cana-2741	68	3	𝑋	𝑋	PROPN
cana-2741	68	4	𝜕	𝜕	PROPN
cana-2741	68	5	𝜕𝑋	𝜕𝑋	PROPN
cana-2741	68	6	(	(	PUNCT
cana-2741	68	7	𝜁𝜒ℳ	𝜁𝜒ℳ	NOUN
cana-2741	68	8	−	−	PROPN
cana-2741	68	9	𝜃𝜒𝒮1	𝜃𝜒𝒮1	PROPN
cana-2741	68	10	)	)	PUNCT
cana-2741	68	11	−	−	PROPN
cana-2741	68	12	𝜕	𝜕	NOUN
cana-2741	68	13	𝜕𝑇	𝜕𝑇	PROPN
cana-2741	68	14	(	(	PUNCT
cana-2741	68	15	𝜁𝜒ℳ	𝜁𝜒ℳ	NOUN
cana-2741	68	16	−	−	PROPN
cana-2741	68	17	𝜃𝜒𝒮1	𝜃𝜒𝒮1	PROPN
cana-2741	68	18	)	)	PUNCT
cana-2741	68	19	=	=	SYM
cana-2741	68	20	0	0	PUNCT
cana-2741	68	21	(	(	PUNCT
cana-2741	68	22	3.23	3.23	NUM
cana-2741	68	23	)	)	PUNCT
cana-2741	68	24	take	take	VERB
cana-2741	68	25	l	l	NOUN
cana-2741	68	26	=	=	SYM
cana-2741	68	27	𝜁𝜒ℳ	𝜁𝜒ℳ	PROPN
cana-2741	68	28	−	−	PROPN
cana-2741	68	29	𝜃𝜒𝒮1	𝜃𝜒𝒮1	NOUN
cana-2741	68	30	(	(	PUNCT
cana-2741	68	31	3.24	3.24	NUM
cana-2741	68	32	)	)	PUNCT
cana-2741	68	33	equation	equation	NOUN
cana-2741	68	34	(	(	PUNCT
cana-2741	68	35	3.15	3.15	NUM
cana-2741	68	36	)	)	PUNCT
cana-2741	68	37	becomes	become	VERB
cana-2741	68	38	𝜕2𝐿	𝜕2𝐿	ADJ
cana-2741	68	39	𝜕𝑋2	𝜕𝑋2	PUNCT
cana-2741	68	40	+	+	SYM
cana-2741	68	41	2	2	X
cana-2741	68	42	𝑋	𝑋	PROPN
cana-2741	68	43	𝜕𝐿	𝜕𝐿	PART
cana-2741	68	44	𝜕𝑋	𝜕𝑋	NOUN
cana-2741	68	45	−	−	NOUN
cana-2741	68	46	𝜕𝐿	𝜕𝐿	NOUN
cana-2741	68	47	𝜕𝑇	𝜕𝑇	X
cana-2741	68	48	=	=	SYM
cana-2741	68	49	0	0	NUM
cana-2741	68	50	(	(	PUNCT
cana-2741	68	51	3.25	3.25	NUM
cana-2741	68	52	)	)	PUNCT
cana-2741	68	53	the	the	DET
cana-2741	68	54	corresponding	corresponding	ADJ
cana-2741	68	55	boundary	boundary	ADJ
cana-2741	68	56	conditions	condition	NOUN
cana-2741	68	57	are	be	AUX
cana-2741	68	58	at	at	ADP
cana-2741	68	59	t	t	NOUN
cana-2741	68	60	=	=	SYM
cana-2741	68	61	0	0	NUM
cana-2741	68	62	,	,	PUNCT
cana-2741	68	63	l	l	NOUN
cana-2741	68	64	=	=	SYM
cana-2741	68	65	0	0	NUM
cana-2741	68	66	;	;	PUNCT
cana-2741	68	67	(	(	PUNCT
cana-2741	68	68	3.26	3.26	NUM
cana-2741	68	69	)	)	PUNCT
cana-2741	68	70	at	at	ADP
cana-2741	68	71	x	x	X
cana-2741	68	72	=	=	SYM
cana-2741	68	73	0	0	NUM
cana-2741	68	74	,	,	PUNCT
cana-2741	68	75	𝜕𝐿	𝜕𝐿	PROPN
cana-2741	68	76	𝜕𝑋	𝜕𝑋	X
cana-2741	68	77	=	=	NOUN
cana-2741	68	78	0	0	NUM
cana-2741	68	79	;	;	PUNCT
cana-2741	68	80	(	(	PUNCT
cana-2741	68	81	3.27	3.27	NUM
cana-2741	68	82	)	)	PUNCT
cana-2741	68	83	at	at	ADP
cana-2741	68	84	x=	x=	PROPN
cana-2741	68	85	1	1	NUM
cana-2741	68	86	,	,	PUNCT
cana-2741	68	87	l	l	NOUN
cana-2741	68	88	=	=	PROPN
cana-2741	68	89	𝜒ℳ	𝜒ℳ	PROPN
cana-2741	68	90	−	−	PROPN
cana-2741	68	91	𝜒𝒮1	𝜒𝒮1	PROPN
cana-2741	68	92	(	(	PUNCT
cana-2741	68	93	3.28	3.28	NUM
cana-2741	68	94	)	)	PUNCT
cana-2741	68	95	using	use	VERB
cana-2741	68	96	laplace	laplace	NOUN
cana-2741	68	97	transform	transform	NOUN
cana-2741	68	98	in	in	ADP
cana-2741	68	99	the	the	DET
cana-2741	68	100	equation	equation	NOUN
cana-2741	68	101	(	(	PUNCT
cana-2741	68	102	3.25	3.25	NUM
cana-2741	68	103	)	)	PUNCT
cana-2741	68	104	and	and	CCONJ
cana-2741	68	105	solving	solve	VERB
cana-2741	68	106	by	by	ADP
cana-2741	68	107	the	the	DET
cana-2741	68	108	use	use	NOUN
cana-2741	68	109	of	of	ADP
cana-2741	68	110	the	the	DET
cana-2741	68	111	boundary	boundary	ADJ
cana-2741	68	112	conditions	condition	NOUN
cana-2741	68	113	(	(	PUNCT
cana-2741	68	114	3.26)-(3.28	3.26)-(3.28	NUM
cana-2741	68	115	)	)	PUNCT
cana-2741	68	116	and	and	CCONJ
cana-2741	68	117	then	then	ADV
cana-2741	68	118	applying	apply	VERB
cana-2741	68	119	inverse	inverse	ADJ
cana-2741	68	120	laplace	laplace	NOUN
cana-2741	68	121	formula	formula	NOUN
cana-2741	68	122	,	,	PUNCT
cana-2741	68	123	we	we	PRON
cana-2741	68	124	get	get	VERB
cana-2741	68	125	l(x	l(x	PROPN
cana-2741	68	126	,	,	PUNCT
cana-2741	68	127	t	t	PROPN
cana-2741	68	128	)	)	PUNCT
cana-2741	68	129	=	=	SYM
cana-2741	69	1	(	(	PUNCT
cana-2741	69	2	𝜒ℳ	𝜒ℳ	PROPN
cana-2741	69	3	−	−	PROPN
cana-2741	69	4	𝜒𝒮1	𝜒𝒮1	PROPN
cana-2741	69	5	)	)	PUNCT
cana-2741	70	1	[	[	X
cana-2741	70	2	1	1	NUM
cana-2741	70	3	+	+	NUM
cana-2741	70	4	2𝜋	2𝜋	NUM
cana-2741	70	5	∑	∑	PUNCT
cana-2741	70	6	𝑛(−1)𝑛+1sin	𝑛(−1)𝑛+1sin	X
cana-2741	70	7	(	(	PUNCT
cana-2741	70	8	𝑛𝜋𝑋)𝑒−(𝑛2𝜋2𝑇)∞	𝑛𝜋𝑋)𝑒−(𝑛2𝜋2𝑇)∞	X
cana-2741	70	9	𝑛=1	𝑛=1	NOUN
cana-2741	70	10	]	]	PUNCT
cana-2741	70	11	(	(	PUNCT
cana-2741	70	12	3.29	3.29	NUM
cana-2741	70	13	)	)	PUNCT
cana-2741	70	14	by	by	ADP
cana-2741	70	15	(	(	PUNCT
cana-2741	70	16	3.24	3.24	NUM
cana-2741	70	17	)	)	PUNCT
cana-2741	70	18	,	,	PUNCT
cana-2741	70	19	we	we	PRON
cana-2741	70	20	get	get	VERB
cana-2741	70	21	the	the	DET
cana-2741	70	22	mediator	mediator	NOUN
cana-2741	70	23	concentration	concentration	NOUN
cana-2741	70	24	is	be	AUX
cana-2741	70	25	expressed	express	VERB
cana-2741	70	26	as	as	ADP
cana-2741	70	27	𝜃(𝑋	𝜃(𝑋	NUM
cana-2741	70	28	,	,	PUNCT
cana-2741	70	29	𝑇	𝑇	PROPN
cana-2741	70	30	)	)	PUNCT
cana-2741	70	31	=	=	PUNCT
cana-2741	71	1	(	(	PUNCT
cana-2741	71	2	𝜒ℳ	𝜒ℳ	PROPN
cana-2741	71	3	𝜒𝒮1	𝜒𝒮1	PROPN
cana-2741	71	4	)	)	PUNCT
cana-2741	72	1	(	(	PUNCT
cana-2741	72	2	1	1	NUM
cana-2741	72	3	+	+	NUM
cana-2741	72	4	2𝜋	2𝜋	NOUN
cana-2741	72	5	𝑋	𝑋	NOUN
cana-2741	72	6	∑	∑	PUNCT
cana-2741	72	7	[	[	PUNCT
cana-2741	72	8	𝑛(−1)𝑛+1	𝑛(−1)𝑛+1	NUM
cana-2741	72	9	sin(𝑛𝜋𝑋)𝑒	sin(𝑛𝜋𝑋)𝑒	PROPN
cana-2741	72	10	−(𝑛2𝜋2𝑇	−(𝑛2𝜋2𝑇	NUM
cana-2741	72	11	)	)	PUNCT
cana-2741	72	12	𝑛2𝜋2	𝑛2𝜋2	X
cana-2741	72	13	]	]	PUNCT
cana-2741	72	14	∞	∞	NUM
cana-2741	72	15	𝑛=1	𝑛=1	NOUN
cana-2741	72	16	)	)	PUNCT
cana-2741	72	17	−	−	PROPN
cana-2741	73	1	[	[	PUNCT
cana-2741	73	2	(	(	PUNCT
cana-2741	73	3	𝜒ℳ	𝜒ℳ	PROPN
cana-2741	73	4	[	[	PUNCT
cana-2741	73	5	𝜁	𝜁	PROPN
cana-2741	73	6	(	(	PUNCT
cana-2741	73	7	𝑋,𝑇	𝑋,𝑇	NOUN
cana-2741	73	8	)	)	PUNCT
cana-2741	73	9	]	]	PUNCT
cana-2741	73	10	𝜒𝒮1	𝜒𝒮1	PROPN
cana-2741	73	11	]	]	PUNCT
cana-2741	73	12	(	(	PUNCT
cana-2741	73	13	3.30	3.30	NUM
cana-2741	73	14	)	)	PUNCT
cana-2741	73	15	the	the	DET
cana-2741	73	16	normalized	normalize	VERB
cana-2741	73	17	flux	flux	NOUN
cana-2741	73	18	can	can	AUX
cana-2741	73	19	be	be	AUX
cana-2741	73	20	derived	derive	VERB
cana-2741	73	21	as	as	ADP
cana-2741	73	22	,	,	PUNCT
cana-2741	73	23	communications	communication	NOUN
cana-2741	73	24	on	on	ADP
cana-2741	73	25	applied	apply	VERB
cana-2741	73	26	nonlinear	nonlinear	ADJ
cana-2741	73	27	analysis	analysis	NOUN
cana-2741	73	28	issn	issn	NOUN
cana-2741	73	29	:	:	PUNCT
cana-2741	73	30	1074	1074	NUM
cana-2741	73	31	-	-	PUNCT
cana-2741	73	32	133x	133x	NUM
cana-2741	73	33	vol	vol	NOUN
cana-2741	73	34	32	32	NUM
cana-2741	73	35	no	no	NOUN
cana-2741	73	36	.	.	PUNCT
cana-2741	74	1	4s	4s	NUM
cana-2741	74	2	(	(	PUNCT
cana-2741	74	3	2025	2025	NUM
cana-2741	74	4	)	)	PUNCT
cana-2741	74	5	100	100	NUM
cana-2741	74	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2741	74	7	δ	δ	X
cana-2741	74	8	=	=	SYM
cana-2741	74	9	−𝐷	−𝐷	PROPN
cana-2741	74	10	(	(	PUNCT
cana-2741	74	11	𝜕𝜁(𝑋	𝜕𝜁(𝑋	PROPN
cana-2741	74	12	)	)	PUNCT
cana-2741	74	13	𝜕𝑋	𝜕𝑋	NOUN
cana-2741	74	14	)	)	PUNCT
cana-2741	74	15	𝑋=1	𝑋=1	NUM
cana-2741	74	16	=	=	PUNCT
cana-2741	75	1	−𝐷.	−𝐷.	NOUN
cana-2741	75	2	𝑠1	𝑠1	PROPN
cana-2741	75	3	𝑇	𝑇	PROPN
cana-2741	75	4	𝑟	𝑟	PRON
cana-2741	75	5	(	(	PUNCT
cana-2741	75	6	1	1	NUM
cana-2741	75	7	−	−	NOUN
cana-2741	75	8	√𝜒𝒮1	√𝜒𝒮1	NOUN
cana-2741	75	9	𝑐𝑜𝑡ℎ√𝜒𝒮1	𝑐𝑜𝑡ℎ√𝜒𝒮1	NOUN
cana-2741	75	10	−	−	NOUN
cana-2741	75	11	2∑	2∑	NOUN
cana-2741	76	1	[	[	X
cana-2741	76	2	𝑒−(𝑛2𝜋2𝑇)]∞	𝑒−(𝑛2𝜋2𝑇)]∞	ADJ
cana-2741	76	3	𝑛=1	𝑛=1	NOUN
cana-2741	76	4	+2𝜋2	+2𝜋2	NOUN
cana-2741	76	5	∑	∑	PUNCT
cana-2741	76	6	[	[	PUNCT
cana-2741	76	7	𝑛2(−1)𝑛+1𝑒	𝑛2(−1)𝑛+1𝑒	NOUN
cana-2741	76	8	−(𝑛2𝜋2+𝜒𝒮1	−(𝑛2𝜋2+𝜒𝒮1	NOUN
cana-2741	76	9	)	)	PUNCT
cana-2741	76	10	𝑇	𝑇	PROPN
cana-2741	76	11	(	(	PUNCT
cana-2741	76	12	𝑛2𝜋2+𝜒𝒮1	𝑛2𝜋2+𝜒𝒮1	NOUN
cana-2741	76	13	)	)	PUNCT
cana-2741	76	14	]	]	PUNCT
cana-2741	76	15	∞	∞	NUM
cana-2741	76	16	𝑛=1	𝑛=1	NOUN
cana-2741	76	17	)	)	PUNCT
cana-2741	76	18	(	(	PUNCT
cana-2741	76	19	3.31	3.31	NUM
cana-2741	76	20	)	)	PUNCT
cana-2741	76	21	4	4	NUM
cana-2741	76	22	.	.	X
cana-2741	76	23	specifying	specify	VERB
cana-2741	76	24	cases	case	NOUN
cana-2741	76	25	as	as	ADP
cana-2741	76	26	x→	x→	PROPN
cana-2741	76	27	0	0	NUM
cana-2741	76	28	,	,	PUNCT
cana-2741	76	29	the	the	DET
cana-2741	76	30	concentration	concentration	NOUN
cana-2741	76	31	of	of	ADP
cana-2741	76	32	species	specie	NOUN
cana-2741	76	33	and	and	CCONJ
cana-2741	76	34	mediator	mediator	NOUN
cana-2741	76	35	closely	closely	ADV
cana-2741	76	36	reaches	reach	VERB
cana-2741	76	37	at	at	ADP
cana-2741	76	38	the	the	DET
cana-2741	76	39	center	center	NOUN
cana-2741	76	40	of	of	ADP
cana-2741	76	41	the	the	DET
cana-2741	76	42	conducting	conduct	VERB
cana-2741	76	43	polymer	polymer	NOUN
cana-2741	76	44	and	and	CCONJ
cana-2741	76	45	it	it	PRON
cana-2741	76	46	can	can	AUX
cana-2741	76	47	be	be	AUX
cana-2741	76	48	expressed	express	VERB
cana-2741	76	49	as	as	ADP
cana-2741	76	50	,	,	PUNCT
cana-2741	76	51	𝜁	𝜁	PROPN
cana-2741	76	52	(	(	PUNCT
cana-2741	76	53	0	0	NUM
cana-2741	76	54	,	,	PUNCT
cana-2741	76	55	𝑇	𝑇	PROPN
cana-2741	76	56	)	)	PUNCT
cana-2741	77	1	=	=	SYM
cana-2741	77	2	𝜁	𝜁	PROPN
cana-2741	77	3	(	(	PUNCT
cana-2741	77	4	0,∞	0,∞	NOUN
cana-2741	77	5	)	)	PUNCT
cana-2741	78	1	+	+	CCONJ
cana-2741	78	2	2𝜋2	2𝜋2	NUM
cana-2741	78	3	∑	∑	PUNCT
cana-2741	78	4	[	[	PUNCT
cana-2741	78	5	𝑛2(−1)𝑛+1𝑒	𝑛2(−1)𝑛+1𝑒	NOUN
cana-2741	78	6	−(𝑛2𝜋2+𝜒𝒮1	−(𝑛2𝜋2+𝜒𝒮1	NOUN
cana-2741	78	7	)	)	PUNCT
cana-2741	78	8	𝑇	𝑇	PROPN
cana-2741	78	9	(	(	PUNCT
cana-2741	78	10	𝑛2𝜋2+𝜒𝒮1	𝑛2𝜋2+𝜒𝒮1	NOUN
cana-2741	78	11	)	)	PUNCT
cana-2741	78	12	]	]	PUNCT
cana-2741	78	13	∞	∞	NUM
cana-2741	78	14	𝑛=1	𝑛=1	NOUN
cana-2741	78	15	(	(	PUNCT
cana-2741	78	16	4.1	4.1	NUM
cana-2741	78	17	)	)	PUNCT
cana-2741	78	18	𝜂	𝜂	NOUN
cana-2741	78	19	(	(	PUNCT
cana-2741	78	20	0	0	NUM
cana-2741	78	21	,	,	PUNCT
cana-2741	78	22	𝑇	𝑇	PROPN
cana-2741	78	23	)	)	PUNCT
cana-2741	78	24	=	=	SYM
cana-2741	78	25	𝜒𝒮2	𝜒𝒮2	PROPN
cana-2741	78	26	[	[	PUNCT
cana-2741	78	27	𝜁	𝜁	PROPN
cana-2741	78	28	(	(	PUNCT
cana-2741	78	29	0,𝑇	0,𝑇	NOUN
cana-2741	78	30	)	)	PUNCT
cana-2741	78	31	]	]	PUNCT
cana-2741	79	1	2𝜒𝒮1	2𝜒𝒮1	NUM
cana-2741	79	2	−	−	PROPN
cana-2741	79	3	(	(	PUNCT
cana-2741	79	4	𝜒𝒮2	𝜒𝒮2	PROPN
cana-2741	79	5	2𝜒𝒮1	2𝜒𝒮1	NUM
cana-2741	79	6	−	−	PROPN
cana-2741	79	7	1)(1	1)(1	NUM
cana-2741	79	8	+	+	NUM
cana-2741	79	9	2∑	2∑	NUM
cana-2741	79	10	[	[	X
cana-2741	79	11	(	(	PUNCT
cana-2741	79	12	−1)𝑛+1𝑒−(𝑛2𝜋2𝑇)]∞	−1)𝑛+1𝑒−(𝑛2𝜋2𝑇)]∞	NOUN
cana-2741	79	13	𝑛=1	𝑛=1	NOUN
cana-2741	79	14	)	)	PUNCT
cana-2741	79	15	(	(	PUNCT
cana-2741	79	16	4.2	4.2	NUM
cana-2741	79	17	)	)	PUNCT
cana-2741	79	18	𝜃(0	𝜃(0	PROPN
cana-2741	79	19	,	,	PUNCT
cana-2741	79	20	𝑇	𝑇	PROPN
cana-2741	79	21	)	)	PUNCT
cana-2741	79	22	=	=	PUNCT
cana-2741	79	23	(	(	PUNCT
cana-2741	79	24	𝜒ℳ	𝜒ℳ	PROPN
cana-2741	79	25	𝜒𝒮1	𝜒𝒮1	PROPN
cana-2741	79	26	)	)	PUNCT
cana-2741	79	27	(	(	PUNCT
cana-2741	79	28	1	1	NUM
cana-2741	79	29	+	+	NUM
cana-2741	79	30	2∑	2∑	NUM
cana-2741	79	31	[	[	X
cana-2741	79	32	(	(	PUNCT
cana-2741	79	33	−1)𝑛+1𝑒−(𝑛2𝜋2𝑇)]∞	−1)𝑛+1𝑒−(𝑛2𝜋2𝑇)]∞	NOUN
cana-2741	79	34	𝑛=1	𝑛=1	NOUN
cana-2741	79	35	)	)	PUNCT
cana-2741	79	36	−	−	PROPN
cana-2741	80	1	[	[	PUNCT
cana-2741	80	2	(	(	PUNCT
cana-2741	80	3	𝜒ℳ	𝜒ℳ	PROPN
cana-2741	80	4	[	[	PUNCT
cana-2741	80	5	𝜁	𝜁	PROPN
cana-2741	80	6	(	(	PUNCT
cana-2741	80	7	0,𝑇	0,𝑇	PROPN
cana-2741	80	8	)	)	PUNCT
cana-2741	80	9	]	]	PUNCT
cana-2741	80	10	𝜒𝒮1	𝜒𝒮1	PROPN
cana-2741	80	11	]	]	PUNCT
cana-2741	80	12	(	(	PUNCT
cana-2741	80	13	4.3	4.3	NUM
cana-2741	80	14	)	)	PUNCT
cana-2741	80	15	as	as	ADP
cana-2741	80	16	t→	t→	X
cana-2741	80	17	0	0	NUM
cana-2741	80	18	,	,	PUNCT
cana-2741	80	19	the	the	DET
cana-2741	80	20	concentration	concentration	NOUN
cana-2741	80	21	of	of	ADP
cana-2741	80	22	substrates	substrate	NOUN
cana-2741	80	23	and	and	CCONJ
cana-2741	80	24	mediator	mediator	NOUN
cana-2741	80	25	closely	closely	ADV
cana-2741	80	26	relative	relative	ADJ
cana-2741	80	27	to	to	ADP
cana-2741	80	28	the	the	DET
cana-2741	80	29	boundary	boundary	NOUN
cana-2741	80	30	of	of	ADP
cana-2741	80	31	the	the	DET
cana-2741	80	32	conducting	conduct	VERB
cana-2741	80	33	polymer	polymer	NOUN
cana-2741	80	34	and	and	CCONJ
cana-2741	80	35	the	the	DET
cana-2741	80	36	analytical	analytical	ADJ
cana-2741	80	37	expression	expression	NOUN
cana-2741	80	38	of	of	ADP
cana-2741	80	39	the	the	DET
cana-2741	80	40	concentrations	concentration	NOUN
cana-2741	80	41	becomes	become	VERB
cana-2741	80	42	𝜁	𝜁	PROPN
cana-2741	80	43	(	(	PUNCT
cana-2741	80	44	𝑋	𝑋	PROPN
cana-2741	80	45	,	,	PUNCT
cana-2741	80	46	0	0	NUM
cana-2741	80	47	)	)	PUNCT
cana-2741	80	48	=	=	VERB
cana-2741	80	49	sinh	sinh	NOUN
cana-2741	80	50	(	(	PUNCT
cana-2741	80	51	√𝜒𝒮1	√𝜒𝒮1	NOUN
cana-2741	80	52	𝑋	𝑋	PROPN
cana-2741	80	53	)	)	PUNCT
cana-2741	80	54	𝑋sinh	𝑋sinh	PROPN
cana-2741	80	55	(	(	PUNCT
cana-2741	80	56	√𝜒𝒮1	√𝜒𝒮1	NOUN
cana-2741	80	57	)	)	PUNCT
cana-2741	81	1	+	+	NUM
cana-2741	81	2	2𝜋	2𝜋	NOUN
cana-2741	81	3	𝑋	𝑋	NOUN
cana-2741	81	4	∑	∑	PROPN
cana-2741	81	5	[	[	PUNCT
cana-2741	81	6	𝑛(−1)𝑛+1sin	𝑛(−1)𝑛+1sin	X
cana-2741	81	7	(	(	PUNCT
cana-2741	81	8	𝑛𝜋𝑋	𝑛𝜋𝑋	VERB
cana-2741	81	9	)	)	PUNCT
cana-2741	81	10	(	(	PUNCT
cana-2741	81	11	𝑛2𝜋2+𝜒𝒮1	𝑛2𝜋2+𝜒𝒮1	NOUN
cana-2741	81	12	)	)	PUNCT
cana-2741	81	13	]	]	PUNCT
cana-2741	81	14	∞	∞	NUM
cana-2741	81	15	𝑛=1	𝑛=1	NOUN
cana-2741	81	16	(	(	PUNCT
cana-2741	81	17	4.4	4.4	NUM
cana-2741	81	18	)	)	PUNCT
cana-2741	81	19	𝜂	𝜂	NOUN
cana-2741	81	20	(	(	PUNCT
cana-2741	81	21	𝑋	𝑋	PROPN
cana-2741	81	22	,	,	PUNCT
cana-2741	81	23	0	0	NUM
cana-2741	81	24	)	)	PUNCT
cana-2741	81	25	=	=	SYM
cana-2741	81	26	𝜒𝒮2	𝜒𝒮2	PROPN
cana-2741	81	27	[	[	PUNCT
cana-2741	81	28	𝜁	𝜁	PROPN
cana-2741	81	29	(	(	PUNCT
cana-2741	81	30	𝑋,0	𝑋,0	NOUN
cana-2741	81	31	)	)	PUNCT
cana-2741	81	32	]	]	PUNCT
cana-2741	82	1	2𝜒𝒮1	2𝜒𝒮1	NUM
cana-2741	82	2	−	−	PROPN
cana-2741	82	3	(	(	PUNCT
cana-2741	82	4	𝜒𝒮2	𝜒𝒮2	PROPN
cana-2741	82	5	2𝜒𝒮1	2𝜒𝒮1	NUM
cana-2741	82	6	−	−	PROPN
cana-2741	82	7	1	1	NUM
cana-2741	82	8	)	)	PUNCT
cana-2741	82	9	(	(	PUNCT
cana-2741	82	10	1	1	NUM
cana-2741	82	11	+	+	NUM
cana-2741	82	12	2𝜋	2𝜋	NOUN
cana-2741	82	13	𝑋	𝑋	NOUN
cana-2741	82	14	∑	∑	PROPN
cana-2741	82	15	[	[	PUNCT
cana-2741	82	16	𝑛(−1)𝑛+1sin	𝑛(−1)𝑛+1sin	X
cana-2741	82	17	(	(	PUNCT
cana-2741	82	18	𝑛𝜋𝑋	𝑛𝜋𝑋	NOUN
cana-2741	82	19	)	)	PUNCT
cana-2741	82	20	𝑛2𝜋2	𝑛2𝜋2	X
cana-2741	82	21	]	]	PUNCT
cana-2741	82	22	∞	∞	NUM
cana-2741	82	23	𝑛=1	𝑛=1	NOUN
cana-2741	82	24	)	)	PUNCT
cana-2741	82	25	(	(	PUNCT
cana-2741	82	26	4.5	4.5	NUM
cana-2741	82	27	)	)	PUNCT
cana-2741	82	28	𝜃(𝑋	𝜃(𝑋	ADV
cana-2741	82	29	,	,	PUNCT
cana-2741	82	30	0	0	NUM
cana-2741	82	31	)	)	PUNCT
cana-2741	82	32	=	=	PRON
cana-2741	82	33	(	(	PUNCT
cana-2741	82	34	𝜒ℳ	𝜒ℳ	PROPN
cana-2741	82	35	𝜒𝒮1	𝜒𝒮1	PROPN
cana-2741	82	36	)	)	PUNCT
cana-2741	82	37	(	(	PUNCT
cana-2741	82	38	1	1	NUM
cana-2741	82	39	+	+	NUM
cana-2741	82	40	2𝜋	2𝜋	NOUN
cana-2741	82	41	𝑋	𝑋	NOUN
cana-2741	82	42	∑	∑	PROPN
cana-2741	82	43	[	[	PUNCT
cana-2741	82	44	𝑛(−1)𝑛+1	𝑛(−1)𝑛+1	NOUN
cana-2741	82	45	sin(𝑛𝜋𝑋	sin(𝑛𝜋𝑋	NOUN
cana-2741	82	46	)	)	PUNCT
cana-2741	82	47	𝑛2𝜋2	𝑛2𝜋2	ADP
cana-2741	82	48	]	]	PUNCT
cana-2741	82	49	∞	∞	NUM
cana-2741	82	50	𝑛=1	𝑛=1	NOUN
cana-2741	82	51	)	)	PUNCT
cana-2741	82	52	−	−	PROPN
cana-2741	83	1	[	[	PUNCT
cana-2741	83	2	(	(	PUNCT
cana-2741	83	3	𝜒ℳ	𝜒ℳ	PROPN
cana-2741	83	4	[	[	PUNCT
cana-2741	83	5	𝜁	𝜁	PROPN
cana-2741	83	6	(	(	PUNCT
cana-2741	83	7	𝑋,0	𝑋,0	NOUN
cana-2741	83	8	)	)	PUNCT
cana-2741	83	9	]	]	X
cana-2741	83	10	𝜒𝒮1	𝜒𝒮1	PROPN
cana-2741	83	11	]	]	PUNCT
cana-2741	83	12	(	(	PUNCT
cana-2741	83	13	4.6	4.6	NUM
cana-2741	83	14	as	as	ADP
cana-2741	83	15	t→	t→	X
cana-2741	83	16	∞	∞	PROPN
cana-2741	83	17	in	in	ADP
cana-2741	83	18	the	the	DET
cana-2741	83	19	above	above	ADJ
cana-2741	83	20	non	non	ADJ
cana-2741	83	21	-	-	ADJ
cana-2741	83	22	steady	steady	ADJ
cana-2741	83	23	state	state	NOUN
cana-2741	83	24	analytical	analytical	ADJ
cana-2741	83	25	expression	expression	NOUN
cana-2741	83	26	for	for	ADP
cana-2741	83	27	the	the	DET
cana-2741	83	28	concentrations	concentration	NOUN
cana-2741	83	29	of	of	ADP
cana-2741	83	30	species	specie	NOUN
cana-2741	83	31	𝑠1	𝑠1	PROPN
cana-2741	83	32	,	,	PUNCT
cana-2741	83	33	𝑠2	𝑠2	NOUN
cana-2741	83	34	and	and	CCONJ
cana-2741	83	35	mediator	mediator	NOUN
cana-2741	83	36	becomes	become	VERB
cana-2741	83	37	steady	steady	ADJ
cana-2741	83	38	state	state	NOUN
cana-2741	83	39	and	and	CCONJ
cana-2741	83	40	concentrations	concentration	NOUN
cana-2741	83	41	can	can	AUX
cana-2741	83	42	be	be	AUX
cana-2741	83	43	written	write	VERB
cana-2741	83	44	as	as	ADP
cana-2741	83	45	𝜁	𝜁	PROPN
cana-2741	83	46	(	(	PUNCT
cana-2741	83	47	𝑋	𝑋	PROPN
cana-2741	83	48	,	,	PUNCT
cana-2741	83	49	𝑇	𝑇	PROPN
cana-2741	83	50	)	)	PUNCT
cana-2741	83	51	=	=	PUNCT
cana-2741	83	52	sinh	sinh	NOUN
cana-2741	83	53	(	(	PUNCT
cana-2741	83	54	√𝜒𝒮1	√𝜒𝒮1	NOUN
cana-2741	83	55	𝑋	𝑋	PROPN
cana-2741	83	56	)	)	PUNCT
cana-2741	83	57	𝑋sinh	𝑋sinh	PROPN
cana-2741	83	58	(	(	PUNCT
cana-2741	83	59	√𝜒𝒮1	√𝜒𝒮1	NOUN
cana-2741	83	60	)	)	PUNCT
cana-2741	83	61	(	(	PUNCT
cana-2741	83	62	4.7	4.7	NUM
cana-2741	83	63	)	)	PUNCT
cana-2741	83	64	𝜂	𝜂	NOUN
cana-2741	83	65	(	(	PUNCT
cana-2741	83	66	𝑋	𝑋	PROPN
cana-2741	83	67	,	,	PUNCT
cana-2741	83	68	𝑇	𝑇	PROPN
cana-2741	83	69	)	)	PUNCT
cana-2741	83	70	=	=	SYM
cana-2741	83	71	𝜒𝒮2	𝜒𝒮2	PROPN
cana-2741	83	72	[	[	PUNCT
cana-2741	83	73	𝜁	𝜁	PROPN
cana-2741	83	74	(	(	PUNCT
cana-2741	83	75	𝑋,𝑇	𝑋,𝑇	NOUN
cana-2741	83	76	)	)	PUNCT
cana-2741	83	77	]	]	PUNCT
cana-2741	84	1	2𝜒𝒮1	2𝜒𝒮1	NUM
cana-2741	84	2	−	−	PROPN
cana-2741	84	3	(	(	PUNCT
cana-2741	84	4	𝜒𝒮2	𝜒𝒮2	PROPN
cana-2741	84	5	2𝜒𝒮1	2𝜒𝒮1	NUM
cana-2741	84	6	−	−	PROPN
cana-2741	84	7	1	1	NUM
cana-2741	84	8	)	)	PUNCT
cana-2741	84	9	(	(	PUNCT
cana-2741	84	10	4.8	4.8	NUM
cana-2741	84	11	)	)	PUNCT
cana-2741	84	12	𝜃(𝑋	𝜃(𝑋	NUM
cana-2741	84	13	,	,	PUNCT
cana-2741	84	14	𝑇	𝑇	PROPN
cana-2741	84	15	)	)	PUNCT
cana-2741	84	16	=	=	PUNCT
cana-2741	84	17	(	(	PUNCT
cana-2741	84	18	𝜒ℳ	𝜒ℳ	NOUN
cana-2741	84	19	𝜒𝒮1	𝜒𝒮1	PROPN
cana-2741	84	20	)	)	PUNCT
cana-2741	84	21	−	−	PROPN
cana-2741	85	1	[	[	PUNCT
cana-2741	85	2	(	(	PUNCT
cana-2741	85	3	𝜒ℳ	𝜒ℳ	PROPN
cana-2741	85	4	[	[	PUNCT
cana-2741	85	5	𝜁	𝜁	PROPN
cana-2741	85	6	(	(	PUNCT
cana-2741	85	7	𝑋,𝑇	𝑋,𝑇	NOUN
cana-2741	85	8	)	)	PUNCT
cana-2741	85	9	]	]	PUNCT
cana-2741	85	10	𝜒𝒮1	𝜒𝒮1	PROPN
cana-2741	85	11	]	]	PUNCT
cana-2741	85	12	(	(	PUNCT
cana-2741	85	13	4.9	4.9	NUM
cana-2741	85	14	)	)	PUNCT
cana-2741	85	15	5	5	NUM
cana-2741	85	16	.	.	PUNCT
cana-2741	85	17	numerical	numerical	PROPN
cana-2741	85	18	simulation	simulation	PROPN
cana-2741	85	19	the	the	DET
cana-2741	85	20	non	non	ADJ
cana-2741	85	21	-	-	ADJ
cana-2741	85	22	dimensional	dimensional	ADJ
cana-2741	85	23	form	form	NOUN
cana-2741	85	24	of	of	ADP
cana-2741	85	25	equations	equation	NOUN
cana-2741	85	26	(	(	PUNCT
cana-2741	85	27	2.9)-(2.11	2.9)-(2.11	NUM
cana-2741	85	28	)	)	PUNCT
cana-2741	85	29	that	that	PRON
cana-2741	85	30	relate	relate	VERB
cana-2741	85	31	to	to	ADP
cana-2741	85	32	boundary	boundary	ADJ
cana-2741	85	33	conditions	condition	NOUN
cana-2741	85	34	(	(	PUNCT
cana-2741	85	35	2.12)-(2.14	2.12)-(2.14	NUM
cana-2741	85	36	)	)	PUNCT
cana-2741	85	37	were	be	AUX
cana-2741	85	38	numerically	numerically	ADV
cana-2741	85	39	solved	solve	VERB
cana-2741	85	40	in	in	ADP
cana-2741	85	41	order	order	NOUN
cana-2741	85	42	to	to	PART
cana-2741	85	43	test	test	VERB
cana-2741	85	44	the	the	DET
cana-2741	85	45	accuracy	accuracy	NOUN
cana-2741	85	46	of	of	ADP
cana-2741	85	47	the	the	DET
cana-2741	85	48	hpm	hpm	NOUN
cana-2741	85	49	solution	solution	NOUN
cana-2741	85	50	.	.	PUNCT
cana-2741	86	1	graphical	graphical	ADJ
cana-2741	86	2	comparisons	comparison	NOUN
cana-2741	86	3	between	between	ADP
cana-2741	86	4	our	our	PRON
cana-2741	86	5	analytical	analytical	ADJ
cana-2741	86	6	findings	finding	NOUN
cana-2741	86	7	and	and	CCONJ
cana-2741	86	8	numerical	numerical	ADJ
cana-2741	86	9	results	result	NOUN
cana-2741	86	10	demonstrate	demonstrate	VERB
cana-2741	86	11	the	the	DET
cana-2741	86	12	effectiveness	effectiveness	NOUN
cana-2741	86	13	of	of	ADP
cana-2741	86	14	the	the	DET
cana-2741	86	15	current	current	ADJ
cana-2741	86	16	approach	approach	NOUN
cana-2741	86	17	.	.	PUNCT
cana-2741	87	1	the	the	DET
cana-2741	87	2	new	new	ADJ
cana-2741	87	3	analytical	analytical	ADJ
cana-2741	87	4	results	result	NOUN
cana-2741	87	5	with	with	ADP
cana-2741	87	6	a	a	DET
cana-2741	87	7	dimensionless	dimensionless	ADJ
cana-2741	87	8	concentration	concentration	NOUN
cana-2741	87	9	of	of	ADP
cana-2741	87	10	substrate	substrate	NOUN
cana-2741	87	11	s1	s1	NOUN
cana-2741	87	12	and	and	CCONJ
cana-2741	87	13	substrate	substrate	NOUN
cana-2741	87	14	s2	s2	NOUN
cana-2741	87	15	in	in	ADP
cana-2741	87	16	its	its	PRON
cana-2741	87	17	numerical	numerical	ADJ
cana-2741	87	18	representation	representation	NOUN
cana-2741	87	19	are	be	AUX
cana-2741	87	20	compared	compare	VERB
cana-2741	87	21	in	in	ADP
cana-2741	87	22	tables	table	NOUN
cana-2741	87	23	1	1	NUM
cana-2741	87	24	and	and	CCONJ
cana-2741	87	25	2	2	NUM
cana-2741	87	26	.	.	X
cana-2741	88	1	it	it	PRON
cana-2741	88	2	offers	offer	VERB
cana-2741	88	3	an	an	DET
cana-2741	88	4	acceptable	acceptable	ADJ
cana-2741	88	5	agreement	agreement	NOUN
cana-2741	88	6	for	for	ADP
cana-2741	88	7	each	each	DET
cana-2741	88	8	parameter	parameter	NOUN
cana-2741	88	9	setting	set	VERB
cana-2741	88	10	that	that	PRON
cana-2741	88	11	is	be	AUX
cana-2741	88	12	being	be	AUX
cana-2741	88	13	compared	compare	VERB
cana-2741	88	14	.	.	PUNCT
cana-2741	89	1	the	the	DET
cana-2741	89	2	highest	high	ADJ
cana-2741	89	3	typical	typical	ADJ
cana-2741	89	4	error	error	NOUN
cana-2741	89	5	of	of	ADP
cana-2741	89	6	0.06	0.06	NUM
cana-2741	89	7	%	%	NOUN
cana-2741	89	8	in	in	ADP
cana-2741	89	9	the	the	DET
cana-2741	89	10	substrate	substrate	NOUN
cana-2741	89	11	s1	s1	NOUN
cana-2741	89	12	and	and	CCONJ
cana-2741	89	13	0.3	0.3	NUM
cana-2741	89	14	%	%	NOUN
cana-2741	89	15	in	in	ADP
cana-2741	89	16	the	the	DET
cana-2741	89	17	species	specie	NOUN
cana-2741	89	18	s2	s2	NOUN
cana-2741	89	19	separates	separate	VERB
cana-2741	89	20	the	the	DET
cana-2741	89	21	prior	prior	ADJ
cana-2741	89	22	numerical	numerical	ADJ
cana-2741	89	23	result	result	NOUN
cana-2741	89	24	from	from	ADP
cana-2741	89	25	the	the	DET
cana-2741	89	26	latest	late	ADJ
cana-2741	89	27	analytical	analytical	ADJ
cana-2741	89	28	outcome	outcome	NOUN
cana-2741	89	29	derived	derive	VERB
cana-2741	89	30	by	by	ADP
cana-2741	89	31	using	use	VERB
cana-2741	89	32	hpm	hpm	NOUN
cana-2741	89	33	method	method	NOUN
cana-2741	89	34	.	.	PUNCT
cana-2741	90	1	communications	communication	NOUN
cana-2741	90	2	on	on	ADP
cana-2741	90	3	applied	apply	VERB
cana-2741	90	4	nonlinear	nonlinear	ADJ
cana-2741	90	5	analysis	analysis	NOUN
cana-2741	90	6	issn	issn	NOUN
cana-2741	90	7	:	:	PUNCT
cana-2741	90	8	1074	1074	NUM
cana-2741	90	9	-	-	PUNCT
cana-2741	90	10	133x	133x	NUM
cana-2741	90	11	vol	vol	NOUN
cana-2741	90	12	32	32	NUM
cana-2741	90	13	no	no	NOUN
cana-2741	90	14	.	.	PUNCT
cana-2741	91	1	4s	4s	NUM
cana-2741	91	2	(	(	PUNCT
cana-2741	91	3	2025	2025	NUM
cana-2741	91	4	)	)	PUNCT
cana-2741	91	5	101	101	NUM
cana-2741	91	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2741	91	7	table	table	NOUN
cana-2741	91	8	1	1	NUM
cana-2741	91	9	.	.	PUNCT
cana-2741	91	10	comparison	comparison	NOUN
cana-2741	91	11	among	among	ADP
cana-2741	91	12	the	the	DET
cana-2741	91	13	new	new	ADJ
cana-2741	91	14	analytical	analytical	ADJ
cana-2741	91	15	results	result	NOUN
cana-2741	91	16	with	with	ADP
cana-2741	91	17	numerical	numerical	ADJ
cana-2741	91	18	results	result	NOUN
cana-2741	91	19	for	for	ADP
cana-2741	91	20	the	the	DET
cana-2741	91	21	species	species	NOUN
cana-2741	91	22	s1	s1	NOUN
cana-2741	91	23	concentration	concentration	NOUN
cana-2741	91	24	for	for	ADP
cana-2741	91	25	different	different	ADJ
cana-2741	91	26	reaction	reaction	NOUN
cana-2741	91	27	diffusion	diffusion	NOUN
cana-2741	91	28	parameter	parameter	NOUN
cana-2741	91	29	values	value	NOUN
cana-2741	91	30	.	.	PUNCT
cana-2741	92	1	species	species	NOUN
cana-2741	92	2	s1	s1	PROPN
cana-2741	92	3	concentration	concentration	NOUN
cana-2741	92	4	t=	t=	NOUN
cana-2741	92	5	1	1	NUM
cana-2741	92	6	and	and	CCONJ
cana-2741	92	7	𝜒𝒮1	𝜒𝒮1	PROPN
cana-2741	92	8	=	=	SYM
cana-2741	92	9	1	1	NUM
cana-2741	92	10	t=	t=	NOUN
cana-2741	92	11	1	1	NUM
cana-2741	92	12	and	and	CCONJ
cana-2741	92	13	𝜒𝒮1	𝜒𝒮1	PROPN
cana-2741	92	14	=	=	SYM
cana-2741	92	15	5	5	NUM
cana-2741	92	16	t=	t=	NOUN
cana-2741	92	17	1	1	NUM
cana-2741	92	18	and	and	CCONJ
cana-2741	92	19	𝜒𝒮1	𝜒𝒮1	PROPN
cana-2741	92	20	=	=	SYM
cana-2741	93	1	10	10	NUM
cana-2741	93	2	t	t	PROPN
cana-2741	93	3	numerical	numerical	PROPN
cana-2741	93	4	result	result	PROPN
cana-2741	93	5	eqn	eqn	PROPN
cana-2741	93	6	.	.	PUNCT
cana-2741	94	1	(	(	PUNCT
cana-2741	94	2	2.9	2.9	NUM
cana-2741	94	3	)	)	PUNCT
cana-2741	94	4	analytical	analytical	ADJ
cana-2741	94	5	result	result	NOUN
cana-2741	94	6	using	use	VERB
cana-2741	94	7	hpm	hpm	NOUN
cana-2741	94	8	eqn	eqn	NOUN
cana-2741	94	9	.	.	PUNCT
cana-2741	95	1	(	(	PUNCT
cana-2741	95	2	3.14	3.14	NUM
cana-2741	95	3	)	)	PUNCT
cana-2741	95	4	%	%	NOUN
cana-2741	95	5	of	of	ADP
cana-2741	95	6	variation	variation	NOUN
cana-2741	95	7	between	between	ADP
cana-2741	95	8	(	(	PUNCT
cana-2741	95	9	2.9	2.9	NUM
cana-2741	95	10	)	)	PUNCT
cana-2741	95	11	and	and	CCONJ
cana-2741	95	12	(	(	PUNCT
cana-2741	95	13	3.14	3.14	NUM
cana-2741	95	14	)	)	PUNCT
cana-2741	95	15	numerical	numerical	PROPN
cana-2741	95	16	result	result	PROPN
cana-2741	95	17	eqn	eqn	PROPN
cana-2741	95	18	.	.	PUNCT
cana-2741	96	1	(	(	PUNCT
cana-2741	96	2	2.9	2.9	NUM
cana-2741	96	3	)	)	PUNCT
cana-2741	96	4	analytical	analytical	ADJ
cana-2741	96	5	result	result	NOUN
cana-2741	96	6	using	use	VERB
cana-2741	96	7	hpm	hpm	NOUN
cana-2741	96	8	eqn	eqn	NOUN
cana-2741	96	9	.	.	PUNCT
cana-2741	97	1	(	(	PUNCT
cana-2741	97	2	3.14	3.14	NUM
cana-2741	97	3	)	)	PUNCT
cana-2741	97	4	%	%	NOUN
cana-2741	97	5	of	of	ADP
cana-2741	97	6	variation	variation	NOUN
cana-2741	97	7	between	between	ADP
cana-2741	97	8	(	(	PUNCT
cana-2741	97	9	2.9	2.9	NUM
cana-2741	97	10	)	)	PUNCT
cana-2741	97	11	and	and	CCONJ
cana-2741	97	12	(	(	PUNCT
cana-2741	97	13	3.14	3.14	NUM
cana-2741	97	14	)	)	PUNCT
cana-2741	97	15	numerical	numerical	PROPN
cana-2741	97	16	result	result	PROPN
cana-2741	97	17	eqn	eqn	PROPN
cana-2741	97	18	.	.	PUNCT
cana-2741	98	1	(	(	PUNCT
cana-2741	98	2	2.9	2.9	NUM
cana-2741	98	3	)	)	PUNCT
cana-2741	98	4	analytical	analytical	ADJ
cana-2741	98	5	result	result	NOUN
cana-2741	98	6	using	use	VERB
cana-2741	98	7	hpm	hpm	NOUN
cana-2741	98	8	eqn	eqn	NOUN
cana-2741	98	9	.	.	PUNCT
cana-2741	99	1	(	(	PUNCT
cana-2741	99	2	3.14	3.14	NUM
cana-2741	99	3	)	)	PUNCT
cana-2741	99	4	%	%	NOUN
cana-2741	99	5	of	of	ADP
cana-2741	99	6	variation	variation	NOUN
cana-2741	99	7	between	between	ADP
cana-2741	99	8	(	(	PUNCT
cana-2741	99	9	2.9	2.9	NUM
cana-2741	99	10	)	)	PUNCT
cana-2741	99	11	and	and	CCONJ
cana-2741	99	12	(	(	PUNCT
cana-2741	99	13	3.14	3.14	NUM
cana-2741	99	14	)	)	PUNCT
cana-2741	99	15	0.1	0.1	NUM
cana-2741	99	16	0.8580	0.8580	NUM
cana-2741	99	17	0.8523	0.8523	NUM
cana-2741	99	18	0.0057	0.0057	NUM
cana-2741	99	19	0.4992	0.4992	NUM
cana-2741	99	20	0.4875	0.4875	NUM
cana-2741	99	21	0.0117	0.0117	NUM
cana-2741	99	22	0.2809	0.2809	NUM
cana-2741	99	23	0.2727	0.2727	NUM
cana-2741	99	24	0.0082	0.0082	NUM
cana-2741	99	25	0.2	0.2	NUM
cana-2741	99	26	0.8626	0.8626	NUM
cana-2741	99	27	0.8566	0.8566	NUM
cana-2741	99	28	0.006	0.006	NUM
cana-2741	99	29	0.5098	0.5098	NUM
cana-2741	99	30	0.4997	0.4997	NUM
cana-2741	99	31	0.0101	0.0101	NUM
cana-2741	99	32	0.2948	0.2948	NUM
cana-2741	100	1	0.2864	0.2864	NUM
cana-2741	100	2	0.0084	0.0084	NUM
cana-2741	100	3	0.3	0.3	NUM
cana-2741	100	4	0.8691	0.8691	NUM
cana-2741	100	5	0.8637	0.8637	NUM
cana-2741	100	6	0.0054	0.0054	NUM
cana-2741	100	7	0.5295	0.5295	NUM
cana-2741	100	8	0.5205	0.5205	NUM
cana-2741	100	9	0.009	0.009	NUM
cana-2741	100	10	0.3160	0.3160	NUM
cana-2741	100	11	0.3103	0.3103	NUM
cana-2741	100	12	0.0057	0.0057	NUM
cana-2741	100	13	0.4	0.4	NUM
cana-2741	100	14	0.8785	0.8785	NUM
cana-2741	100	15	0.8738	0.8738	NUM
cana-2741	100	16	0.0047	0.0047	NUM
cana-2741	100	17	0.5584	0.5584	NUM
cana-2741	100	18	0.5505	0.5505	NUM
cana-2741	100	19	0.0079	0.0079	NUM
cana-2741	100	20	0.3506	0.3506	NUM
cana-2741	100	21	0.3456	0.3456	NUM
cana-2741	100	22	0.005	0.005	NUM
cana-2741	100	23	0.5	0.5	NUM
cana-2741	100	24	0.8908	0.8908	NUM
cana-2741	100	25	0.8868	0.8868	NUM
cana-2741	100	26	0.004	0.004	NUM
cana-2741	100	27	0.5973	0.5973	NUM
cana-2741	100	28	0.5907	0.5907	NUM
cana-2741	100	29	0.0066	0.0066	NUM
cana-2741	100	30	0.3989	0.3989	NUM
cana-2741	100	31	0.3947	0.3947	NUM
cana-2741	100	32	0.0042	0.0042	NUM
cana-2741	100	33	0.6	0.6	NUM
cana-2741	100	34	0.9060	0.9060	NUM
cana-2741	100	35	0.9029	0.9029	NOUN
cana-2741	100	36	0.0031	0.0031	NUM
cana-2741	100	37	0.6473	0.6473	NUM
cana-2741	100	38	0.6421	0.6421	NUM
cana-2741	100	39	0.0052	0.0052	NUM
cana-2741	100	40	0.4639	0.4639	NUM
cana-2741	101	1	0.4607	0.4607	NUM
cana-2741	101	2	0.0032	0.0032	NUM
cana-2741	101	3	0.7	0.7	NUM
cana-2741	101	4	0.9244	0.9244	NUM
cana-2741	101	5	0.9221	0.9221	NUM
cana-2741	101	6	0.0023	0.0023	NUM
cana-2741	102	1	0.7102	0.7102	NUM
cana-2741	102	2	0.7065	0.7065	NUM
cana-2741	102	3	0.0037	0.0037	NUM
cana-2741	102	4	0.5497	0.5497	NUM
cana-2741	102	5	0.5475	0.5475	NUM
cana-2741	102	6	0.0022	0.0022	NUM
cana-2741	102	7	0.8	0.8	NUM
cana-2741	102	8	0.9460	0.9460	NUM
cana-2741	102	9	0.9446	0.9446	NUM
cana-2741	102	10	0.0014	0.0014	NUM
cana-2741	102	11	0.7881	0.7881	NUM
cana-2741	102	12	0.7859	0.7859	NUM
cana-2741	102	13	0.0022	0.0022	NUM
cana-2741	102	14	0.6622	0.6622	NUM
cana-2741	102	15	0.6611	0.6611	NUM
cana-2741	102	16	0.0011	0.0011	NUM
cana-2741	102	17	0.9	0.9	NUM
cana-2741	102	18	0.9712	0.9712	NUM
cana-2741	102	19	0.9705	0.9705	NUM
cana-2741	102	20	0.0007	0.0007	NUM
cana-2741	102	21	0.8836	0.8836	NUM
cana-2741	102	22	0.8826	0.8826	NUM
cana-2741	102	23	0.001	0.001	NUM
cana-2741	102	24	0.8088	0.8088	NUM
cana-2741	102	25	0.8085	0.8085	NUM
cana-2741	102	26	0.0003	0.0003	NUM
cana-2741	102	27	average	average	ADJ
cana-2741	102	28	error	error	NOUN
cana-2741	102	29	%	%	NOUN
cana-2741	102	30	0.0037	0.0037	NUM
cana-2741	102	31	0.0064	0.0064	NUM
cana-2741	102	32	0.0043	0.0043	NUM
cana-2741	102	33	table	table	NOUN
cana-2741	102	34	2	2	NUM
cana-2741	102	35	.	.	PUNCT
cana-2741	102	36	deviation	deviation	NOUN
cana-2741	102	37	of	of	ADP
cana-2741	102	38	new	new	ADJ
cana-2741	102	39	analytical	analytical	ADJ
cana-2741	102	40	solution	solution	NOUN
cana-2741	102	41	with	with	ADP
cana-2741	102	42	numerical	numerical	ADJ
cana-2741	102	43	findings	finding	NOUN
cana-2741	102	44	of	of	ADP
cana-2741	102	45	concentration	concentration	NOUN
cana-2741	102	46	of	of	ADP
cana-2741	102	47	species	specie	NOUN
cana-2741	102	48	s2	s2	NOUN
cana-2741	102	49	for	for	ADP
cana-2741	102	50	various	various	ADJ
cana-2741	102	51	values	value	NOUN
cana-2741	102	52	of	of	ADP
cana-2741	102	53	reaction	reaction	NOUN
cana-2741	102	54	diffusion	diffusion	NOUN
cana-2741	102	55	parameters	parameter	NOUN
cana-2741	102	56	communications	communication	NOUN
cana-2741	102	57	on	on	ADP
cana-2741	102	58	applied	apply	VERB
cana-2741	102	59	nonlinear	nonlinear	ADJ
cana-2741	102	60	analysis	analysis	NOUN
cana-2741	102	61	issn	issn	NOUN
cana-2741	102	62	:	:	PUNCT
cana-2741	102	63	1074	1074	NUM
cana-2741	102	64	-	-	PUNCT
cana-2741	102	65	133x	133x	NUM
cana-2741	102	66	vol	vol	NOUN
cana-2741	102	67	32	32	NUM
cana-2741	102	68	no	no	NOUN
cana-2741	102	69	.	.	PUNCT
cana-2741	103	1	4s	4s	NUM
cana-2741	103	2	(	(	PUNCT
cana-2741	103	3	2025	2025	NUM
cana-2741	103	4	)	)	PUNCT
cana-2741	103	5	102	102	NUM
cana-2741	103	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2741	103	7	species	species	NOUN
cana-2741	103	8	s2	s2	NOUN
cana-2741	103	9	concentration	concentration	NOUN
cana-2741	103	10	t=	t=	VERB
cana-2741	103	11	1	1	NUM
cana-2741	103	12	,	,	PUNCT
cana-2741	103	13	𝜒𝒮1	𝜒𝒮1	PROPN
cana-2741	103	14	=	=	SYM
cana-2741	103	15	1	1	NUM
cana-2741	103	16	,	,	PUNCT
cana-2741	103	17	𝜒𝒮2	𝜒𝒮2	PROPN
cana-2741	103	18	=	=	NOUN
cana-2741	103	19	0.1	0.1	NUM
cana-2741	103	20	t=	t=	NUM
cana-2741	103	21	1	1	NUM
cana-2741	103	22	,	,	PUNCT
cana-2741	103	23	𝜒𝒮1	𝜒𝒮1	PROPN
cana-2741	103	24	=	=	SYM
cana-2741	103	25	1	1	NUM
cana-2741	103	26	,	,	PUNCT
cana-2741	103	27	𝜒𝒮2	𝜒𝒮2	PROPN
cana-2741	103	28	=	=	SYM
cana-2741	103	29	1	1	NUM
cana-2741	103	30	t=	t=	NUM
cana-2741	103	31	1	1	NUM
cana-2741	103	32	,	,	PUNCT
cana-2741	103	33	𝜒𝒮1	𝜒𝒮1	PROPN
cana-2741	103	34	=	=	SYM
cana-2741	103	35	1	1	NUM
cana-2741	103	36	,	,	PUNCT
cana-2741	103	37	𝜒𝒮2	𝜒𝒮2	PROPN
cana-2741	103	38	=	=	SYM
cana-2741	103	39	4	4	NUM
cana-2741	103	40	t	t	PROPN
cana-2741	103	41	numerical	numerical	PROPN
cana-2741	103	42	result	result	PROPN
cana-2741	103	43	eqn	eqn	PROPN
cana-2741	103	44	.	.	PUNCT
cana-2741	104	1	(	(	PUNCT
cana-2741	104	2	2.10	2.10	NUM
cana-2741	104	3	)	)	PUNCT
cana-2741	104	4	analytical	analytical	ADJ
cana-2741	104	5	result	result	NOUN
cana-2741	104	6	using	use	VERB
cana-2741	104	7	hpm	hpm	NOUN
cana-2741	104	8	eqn	eqn	NOUN
cana-2741	104	9	.	.	PUNCT
cana-2741	105	1	(	(	PUNCT
cana-2741	105	2	3.22	3.22	NUM
cana-2741	105	3	)	)	PUNCT
cana-2741	105	4	%	%	NOUN
cana-2741	105	5	of	of	ADP
cana-2741	105	6	variation	variation	NOUN
cana-2741	105	7	between	between	ADP
cana-2741	105	8	(	(	PUNCT
cana-2741	105	9	2.10	2.10	NUM
cana-2741	105	10	)	)	PUNCT
cana-2741	105	11	&	&	CCONJ
cana-2741	105	12	(	(	PUNCT
cana-2741	105	13	3.22	3.22	NUM
cana-2741	105	14	)	)	PUNCT
cana-2741	105	15	numerical	numerical	ADJ
cana-2741	105	16	result	result	PROPN
cana-2741	105	17	eqn	eqn	PROPN
cana-2741	105	18	.	.	PUNCT
cana-2741	106	1	(	(	PUNCT
cana-2741	106	2	2.10	2.10	NUM
cana-2741	106	3	)	)	PUNCT
cana-2741	106	4	analytical	analytical	ADJ
cana-2741	106	5	result	result	NOUN
cana-2741	106	6	using	use	VERB
cana-2741	106	7	hpm	hpm	NOUN
cana-2741	106	8	eqn	eqn	NOUN
cana-2741	106	9	.	.	PUNCT
cana-2741	107	1	(	(	PUNCT
cana-2741	107	2	3.22	3.22	NUM
cana-2741	107	3	)	)	PUNCT
cana-2741	107	4	%	%	NOUN
cana-2741	107	5	of	of	ADP
cana-2741	107	6	variation	variation	NOUN
cana-2741	107	7	between	between	ADP
cana-2741	107	8	(	(	PUNCT
cana-2741	107	9	2.10	2.10	NUM
cana-2741	107	10	)	)	PUNCT
cana-2741	107	11	&	&	CCONJ
cana-2741	107	12	(	(	PUNCT
cana-2741	107	13	3.22	3.22	NUM
cana-2741	107	14	)	)	PUNCT
cana-2741	107	15	numerical	numerical	ADJ
cana-2741	107	16	result	result	PROPN
cana-2741	107	17	eqn	eqn	PROPN
cana-2741	107	18	.	.	PUNCT
cana-2741	108	1	(	(	PUNCT
cana-2741	108	2	2.10	2.10	NUM
cana-2741	108	3	)	)	PUNCT
cana-2741	108	4	analytical	analytical	ADJ
cana-2741	108	5	result	result	NOUN
cana-2741	108	6	using	use	VERB
cana-2741	108	7	hpm	hpm	NOUN
cana-2741	108	8	eqn	eqn	NOUN
cana-2741	108	9	.	.	PUNCT
cana-2741	109	1	(	(	PUNCT
cana-2741	109	2	3.22	3.22	NUM
cana-2741	109	3	)	)	PUNCT
cana-2741	109	4	%	%	NOUN
cana-2741	109	5	of	of	ADP
cana-2741	109	6	variation	variation	NOUN
cana-2741	109	7	between	between	ADP
cana-2741	109	8	(	(	PUNCT
cana-2741	109	9	2.10	2.10	NUM
cana-2741	109	10	)	)	PUNCT
cana-2741	109	11	&	&	CCONJ
cana-2741	109	12	(	(	PUNCT
cana-2741	109	13	3.22	3.22	NUM
cana-2741	109	14	)	)	PUNCT
cana-2741	109	15	0.1	0.1	NUM
cana-2741	109	16	0.9926	0.9926	NUM
cana-2741	109	17	0.9926	0.9926	NUM
cana-2741	109	18	0.0000	0.0000	NUM
cana-2741	109	19	0.9294	0.9294	NUM
cana-2741	109	20	0.9261	0.9261	NUM
cana-2741	109	21	0.0033	0.0033	NUM
cana-2741	109	22	0.7528	0.7528	NUM
cana-2741	109	23	0.7046	0.7046	NUM
cana-2741	109	24	0.0482	0.0482	NUM
cana-2741	109	25	0.2	0.2	NUM
cana-2741	109	26	0.9929	0.9929	NUM
cana-2741	109	27	0.9928	0.9928	NUM
cana-2741	109	28	0.0001	0.0001	NUM
cana-2741	109	29	0.9316	0.9316	NUM
cana-2741	109	30	0.9283	0.9283	NUM
cana-2741	109	31	0.0033	0.0033	NUM
cana-2741	109	32	0.7595	0.7595	NUM
cana-2741	109	33	0.7132	0.7132	NUM
cana-2741	110	1	0.0463	0.0463	NUM
cana-2741	110	2	0.3	0.3	NUM
cana-2741	110	3	0.9932	0.9932	NUM
cana-2741	110	4	0.9932	0.9932	NUM
cana-2741	110	5	0.0000	0.0000	NUM
cana-2741	110	6	0.9350	0.9350	NUM
cana-2741	110	7	0.9318	0.9318	NUM
cana-2741	110	8	0.0032	0.0032	NUM
cana-2741	110	9	0.7709	0.7709	NUM
cana-2741	110	10	0.7274	0.7274	NUM
cana-2741	110	11	0.0435	0.0435	NUM
cana-2741	110	12	0.4	0.4	NUM
cana-2741	110	13	0.9937	0.9937	NUM
cana-2741	110	14	0.9936	0.9936	NUM
cana-2741	110	15	0.0001	0.0001	NUM
cana-2741	110	16	0.9404	0.9404	NUM
cana-2741	110	17	0.9369	0.9369	NUM
cana-2741	111	1	0.0035	0.0035	NUM
cana-2741	111	2	0.7871	0.7871	NUM
cana-2741	111	3	0.7476	0.7476	NUM
cana-2741	111	4	0.0395	0.0395	NUM
cana-2741	111	5	0.5	0.5	NUM
cana-2741	111	6	0.9944	0.9944	NUM
cana-2741	111	7	0.9943	0.9943	NUM
cana-2741	111	8	0.0001	0.0001	NUM
cana-2741	111	9	0.9461	0.9461	NUM
cana-2741	111	10	0.9434	0.9434	NUM
cana-2741	111	11	0.0027	0.0027	NUM
cana-2741	111	12	0.8059	0.8059	NUM
cana-2741	111	13	0.7736	0.7736	NUM
cana-2741	111	14	0.0323	0.0323	NUM
cana-2741	111	15	0.6	0.6	NUM
cana-2741	111	16	0.9952	0.9952	NUM
cana-2741	111	17	0.9951	0.9951	NUM
cana-2741	111	18	0.0001	0.0001	NUM
cana-2741	111	19	0.9538	0.9538	NUM
cana-2741	111	20	0.9515	0.9515	NUM
cana-2741	111	21	0.0023	0.0023	NUM
cana-2741	111	22	0.8348	0.8348	NUM
cana-2741	111	23	0.8058	0.8058	NUM
cana-2741	111	24	0.029	0.029	NUM
cana-2741	111	25	0.7	0.7	NUM
cana-2741	111	26	0.9962	0.9962	NUM
cana-2741	111	27	0.9961	0.9961	NUM
cana-2741	111	28	0.0001	0.0001	NUM
cana-2741	111	29	0.9632	0.9632	NUM
cana-2741	111	30	0.9611	0.9611	NUM
cana-2741	111	31	0.0021	0.0021	NUM
cana-2741	111	32	0.8637	0.8637	NUM
cana-2741	111	33	0.8442	0.8442	NUM
cana-2741	111	34	0.0195	0.0195	NUM
cana-2741	111	35	0.8	0.8	NUM
cana-2741	111	36	0.9973	0.9973	NUM
cana-2741	111	37	0.9972	0.9972	NUM
cana-2741	111	38	0.0001	0.0001	NUM
cana-2741	111	39	0.9742	0.9742	NUM
cana-2741	111	40	0.9723	0.9723	NUM
cana-2741	111	41	0.0019	0.0019	NUM
cana-2741	111	42	0.9019	0.9019	NUM
cana-2741	111	43	0.8892	0.8892	NUM
cana-2741	111	44	0.0127	0.0127	NUM
cana-2741	111	45	0.9	0.9	NUM
cana-2741	111	46	0.9987	0.9987	NUM
cana-2741	111	47	0.9986	0.9986	NUM
cana-2741	111	48	0.0001	0.0001	NUM
cana-2741	111	49	0.9869	0.9869	NUM
cana-2741	111	50	0.9853	0.9853	NUM
cana-2741	111	51	0.0016	0.0016	NUM
cana-2741	111	52	0.9470	0.9470	NUM
cana-2741	111	53	0.9410	0.9410	NUM
cana-2741	111	54	0.006	0.006	NUM
cana-2741	111	55	average	average	ADJ
cana-2741	111	56	error	error	NOUN
cana-2741	111	57	%	%	NOUN
cana-2741	112	1	0.0000	0.0000	NUM
cana-2741	112	2	0.0027	0.0027	NUM
cana-2741	112	3	0.3078	0.3078	NUM
cana-2741	112	4	communications	communication	NOUN
cana-2741	112	5	on	on	ADP
cana-2741	112	6	applied	apply	VERB
cana-2741	112	7	nonlinear	nonlinear	ADJ
cana-2741	112	8	analysis	analysis	NOUN
cana-2741	112	9	issn	issn	NOUN
cana-2741	112	10	:	:	PUNCT
cana-2741	112	11	1074	1074	NUM
cana-2741	112	12	-	-	PUNCT
cana-2741	112	13	133x	133x	NUM
cana-2741	112	14	vol	vol	NOUN
cana-2741	112	15	32	32	NUM
cana-2741	112	16	no	no	NOUN
cana-2741	112	17	.	.	PUNCT
cana-2741	113	1	4s	4s	NUM
cana-2741	113	2	(	(	PUNCT
cana-2741	113	3	2025	2025	NUM
cana-2741	113	4	)	)	PUNCT
cana-2741	113	5	103	103	NUM
cana-2741	113	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2741	113	7	6	6	NUM
cana-2741	113	8	.	.	NOUN
cana-2741	113	9	results	result	NOUN
cana-2741	113	10	and	and	CCONJ
cana-2741	113	11	discussion	discussion	VERB
cana-2741	113	12	the	the	DET
cana-2741	113	13	equations	equation	NOUN
cana-2741	113	14	(	(	PUNCT
cana-2741	113	15	3.14	3.14	NUM
cana-2741	113	16	)	)	PUNCT
cana-2741	113	17	,	,	PUNCT
cana-2741	113	18	(	(	PUNCT
cana-2741	113	19	3.22	3.22	NUM
cana-2741	113	20	)	)	PUNCT
cana-2741	113	21	and	and	CCONJ
cana-2741	113	22	(	(	PUNCT
cana-2741	113	23	3.30	3.30	NUM
cana-2741	113	24	)	)	PUNCT
cana-2741	113	25	provides	provide	VERB
cana-2741	113	26	a	a	DET
cana-2741	113	27	newly	newly	ADV
cana-2741	113	28	developed	develop	VERB
cana-2741	113	29	analytical	analytical	ADJ
cana-2741	113	30	formulation	formulation	NOUN
cana-2741	113	31	of	of	ADP
cana-2741	113	32	the	the	DET
cana-2741	113	33	concentration	concentration	NOUN
cana-2741	113	34	of	of	ADP
cana-2741	113	35	species	species	NOUN
cana-2741	113	36	s1	s1	NOUN
cana-2741	113	37	,	,	PUNCT
cana-2741	113	38	species	specie	NOUN
cana-2741	113	39	s2	s2	NOUN
cana-2741	113	40	and	and	CCONJ
cana-2741	113	41	mediator	mediator	NOUN
cana-2741	113	42	in	in	ADP
cana-2741	113	43	simple	simple	ADJ
cana-2741	113	44	closed	closed	ADJ
cana-2741	113	45	form	form	NOUN
cana-2741	113	46	respectively	respectively	ADV
cana-2741	113	47	.	.	PUNCT
cana-2741	114	1	the	the	DET
cana-2741	114	2	reaction	reaction	NOUN
cana-2741	114	3	rate	rate	NOUN
cana-2741	114	4	constants	constant	NOUN
cana-2741	114	5	and	and	CCONJ
cana-2741	114	6	time	time	NOUN
cana-2741	114	7	affects	affect	VERB
cana-2741	114	8	the	the	DET
cana-2741	114	9	species	species	NOUN
cana-2741	114	10	concentrations	concentration	NOUN
cana-2741	114	11	.	.	PUNCT
cana-2741	115	1	simple	simple	ADJ
cana-2741	115	2	new	new	ADJ
cana-2741	115	3	analytical	analytical	ADJ
cana-2741	115	4	formulae	formulae	NOUN
cana-2741	115	5	(	(	PUNCT
cana-2741	115	6	3.31	3.31	NUM
cana-2741	115	7	)	)	PUNCT
cana-2741	115	8	describe	describe	VERB
cana-2741	115	9	how	how	SCONJ
cana-2741	115	10	much	much	ADJ
cana-2741	115	11	normalized	normalize	VERB
cana-2741	115	12	current	current	ADJ
cana-2741	115	13	is	be	AUX
cana-2741	115	14	present	present	ADJ
cana-2741	115	15	.	.	PUNCT
cana-2741	116	1	figure	figure	NOUN
cana-2741	116	2	1	1	NUM
cana-2741	116	3	.	.	PUNCT
cana-2741	116	4	analytical	analytical	ADJ
cana-2741	116	5	and	and	CCONJ
cana-2741	116	6	numerical	numerical	ADJ
cana-2741	116	7	evaluations	evaluation	NOUN
cana-2741	116	8	of	of	ADP
cana-2741	116	9	the	the	DET
cana-2741	116	10	solutions	solution	NOUN
cana-2741	116	11	for	for	ADP
cana-2741	116	12	various	various	ADJ
cana-2741	116	13	values	value	NOUN
cana-2741	116	14	of	of	ADP
cana-2741	116	15	reaction	reaction	NOUN
cana-2741	116	16	diffusion	diffusion	NOUN
cana-2741	116	17	parameter	parameter	NOUN
cana-2741	116	18	(	(	PUNCT
cana-2741	116	19	a	a	NOUN
cana-2741	116	20	)	)	PUNCT
cana-2741	116	21	𝜒𝒮1	𝜒𝒮1	PROPN
cana-2741	117	1	=	=	SYM
cana-2741	117	2	1	1	NUM
cana-2741	117	3	,	,	PUNCT
cana-2741	117	4	3	3	NUM
cana-2741	117	5	,	,	PUNCT
cana-2741	117	6	5	5	NUM
cana-2741	117	7	,	,	PUNCT
cana-2741	117	8	10	10	NUM
cana-2741	117	9	and	and	CCONJ
cana-2741	117	10	t	t	NOUN
cana-2741	117	11	=	=	SYM
cana-2741	117	12	1	1	NUM
cana-2741	117	13	(	(	PUNCT
cana-2741	117	14	b	b	NOUN
cana-2741	117	15	)	)	PUNCT
cana-2741	117	16	𝜒𝒮2	𝜒𝒮2	PROPN
cana-2741	118	1	=	=	SYM
cana-2741	118	2	1	1	NUM
cana-2741	118	3	,	,	PUNCT
cana-2741	118	4	3	3	NUM
cana-2741	118	5	,	,	PUNCT
cana-2741	118	6	5	5	NUM
cana-2741	118	7	,	,	PUNCT
cana-2741	118	8	10	10	NUM
cana-2741	118	9	and	and	CCONJ
cana-2741	118	10	for	for	ADP
cana-2741	118	11	fixed	fix	VERB
cana-2741	118	12	t	t	NOUN
cana-2741	118	13	=	=	SYM
cana-2741	118	14	1	1	NUM
cana-2741	118	15	,	,	PUNCT
cana-2741	118	16	𝜒𝒮1	𝜒𝒮1	PROPN
cana-2741	119	1	=	=	SYM
cana-2741	119	2	1	1	NUM
cana-2741	119	3	(	(	PUNCT
cana-2741	119	4	c	c	NOUN
cana-2741	119	5	)	)	PUNCT
cana-2741	119	6	𝜒ℳ	𝜒ℳ	NOUN
cana-2741	119	7	=	=	PUNCT
cana-2741	120	1	3	3	NUM
cana-2741	120	2	,	,	PUNCT
cana-2741	120	3	5	5	NUM
cana-2741	120	4	,	,	PUNCT
cana-2741	120	5	7	7	NUM
cana-2741	120	6	,	,	PUNCT
cana-2741	120	7	10	10	NUM
cana-2741	120	8	and	and	CCONJ
cana-2741	120	9	for	for	ADP
cana-2741	120	10	fixed	fix	VERB
cana-2741	120	11	t	t	NOUN
cana-2741	120	12	=	=	SYM
cana-2741	120	13	1	1	NUM
cana-2741	120	14	,	,	PUNCT
cana-2741	120	15	𝜒𝒮1	𝜒𝒮1	PROPN
cana-2741	120	16	=	=	SYM
cana-2741	120	17	1	1	X
cana-2741	120	18	.	.	PUNCT
cana-2741	121	1	the	the	DET
cana-2741	121	2	standardized	standardized	ADJ
cana-2741	121	3	species	species	NOUN
cana-2741	121	4	s1	s1	NOUN
cana-2741	121	5	concentration	concentration	NOUN
cana-2741	121	6	is	be	AUX
cana-2741	121	7	shown	show	VERB
cana-2741	121	8	in	in	ADP
cana-2741	121	9	figure	figure	NOUN
cana-2741	121	10	1(a	1(a	NUM
cana-2741	121	11	)	)	PUNCT
cana-2741	121	12	for	for	ADP
cana-2741	121	13	various	various	ADJ
cana-2741	121	14	amounts	amount	NOUN
cana-2741	121	15	of	of	ADP
cana-2741	121	16	the	the	DET
cana-2741	121	17	diffusion	diffusion	NOUN
cana-2741	121	18	parameter	parameter	PROPN
cana-2741	121	19	𝜒𝒮1	𝜒𝒮1	PROPN
cana-2741	121	20	.	.	PUNCT
cana-2741	122	1	the	the	DET
cana-2741	122	2	dotted	dotted	ADJ
cana-2741	122	3	line	line	NOUN
cana-2741	122	4	indicates	indicate	VERB
cana-2741	122	5	analytical	analytical	ADJ
cana-2741	122	6	results	result	NOUN
cana-2741	122	7	and	and	CCONJ
cana-2741	122	8	solid	solid	ADJ
cana-2741	122	9	line	line	NOUN
cana-2741	122	10	indicate	indicate	VERB
cana-2741	122	11	numerical	numerical	ADJ
cana-2741	122	12	results	result	NOUN
cana-2741	122	13	.	.	PUNCT
cana-2741	123	1	this	this	DET
cana-2741	123	2	graph	graph	NOUN
cana-2741	123	3	demonstrates	demonstrate	VERB
cana-2741	123	4	that	that	SCONJ
cana-2741	123	5	for	for	ADP
cana-2741	123	6	each	each	DET
cana-2741	123	7	value	value	NOUN
cana-2741	123	8	of	of	ADP
cana-2741	123	9	𝜒ℳ	𝜒ℳ	PROPN
cana-2741	123	10	and	and	CCONJ
cana-2741	123	11	𝜒𝒮1	𝜒𝒮1	PROPN
cana-2741	123	12	that	that	PRON
cana-2741	123	13	are	be	AUX
cana-2741	123	14	lower	low	ADJ
cana-2741	123	15	or	or	CCONJ
cana-2741	123	16	equal	equal	ADJ
cana-2741	123	17	to	to	ADP
cana-2741	123	18	1	1	NUM
cana-2741	123	19	,	,	PUNCT
cana-2741	123	20	𝜁	𝜁	PROPN
cana-2741	123	21	is	be	AUX
cana-2741	123	22	approximately	approximately	ADV
cana-2741	123	23	comparable	comparable	ADJ
cana-2741	123	24	to	to	ADP
cana-2741	123	25	1	1	NUM
cana-2741	123	26	.	.	PUNCT
cana-2741	124	1	as	as	SCONJ
cana-2741	124	2	the	the	DET
cana-2741	124	3	concentration	concentration	NOUN
cana-2741	124	4	of	of	ADP
cana-2741	124	5	substrate	substrate	NOUN
cana-2741	124	6	s1	s1	NOUN
cana-2741	124	7	goes	go	VERB
cana-2741	124	8	down	down	ADV
cana-2741	124	9	,	,	PUNCT
cana-2741	124	10	𝜒𝒮1	𝜒𝒮1	PROPN
cana-2741	124	11	increases	increase	VERB
cana-2741	124	12	.	.	PUNCT
cana-2741	125	1	the	the	DET
cana-2741	125	2	concentration	concentration	NOUN
cana-2741	125	3	of	of	ADP
cana-2741	125	4	species	species	NOUN
cana-2741	125	5	s1	s1	NOUN
cana-2741	125	6	reach	reach	VERB
cana-2741	125	7	the	the	DET
cana-2741	125	8	peak	peak	NOUN
cana-2741	125	9	value	value	NOUN
cana-2741	125	10	at	at	ADP
cana-2741	125	11	the	the	DET
cana-2741	125	12	large	large	ADJ
cana-2741	125	13	amount	amount	NOUN
cana-2741	125	14	of	of	ADP
cana-2741	125	15	the	the	DET
cana-2741	125	16	non	non	ADJ
cana-2741	125	17	-	-	ADJ
cana-2741	125	18	dimensional	dimensional	ADJ
cana-2741	125	19	distance	distance	NOUN
cana-2741	125	20	in	in	ADP
cana-2741	125	21	the	the	DET
cana-2741	125	22	range	range	NOUN
cana-2741	125	23	of	of	ADP
cana-2741	125	24	x≥	x≥	NOUN
cana-2741	125	25	0.9	0.9	NUM
cana-2741	125	26	.	.	PUNCT
cana-2741	126	1	communications	communication	NOUN
cana-2741	126	2	on	on	ADP
cana-2741	126	3	applied	apply	VERB
cana-2741	126	4	nonlinear	nonlinear	ADJ
cana-2741	126	5	analysis	analysis	NOUN
cana-2741	126	6	issn	issn	NOUN
cana-2741	126	7	:	:	PUNCT
cana-2741	126	8	1074	1074	NUM
cana-2741	126	9	-	-	PUNCT
cana-2741	126	10	133x	133x	NUM
cana-2741	126	11	vol	vol	NOUN
cana-2741	126	12	32	32	NUM
cana-2741	126	13	no	no	NOUN
cana-2741	126	14	.	.	PUNCT
cana-2741	127	1	4s	4s	NUM
cana-2741	127	2	(	(	PUNCT
cana-2741	127	3	2025	2025	NUM
cana-2741	127	4	)	)	PUNCT
cana-2741	128	1	104	104	NUM
cana-2741	128	2	https://internationalpubls.com	https://internationalpubls.com	X
cana-2741	128	3	figure	figure	NOUN
cana-2741	128	4	1(b	1(b	NUM
cana-2741	128	5	)	)	PUNCT
cana-2741	128	6	shows	show	VERB
cana-2741	128	7	that	that	SCONJ
cana-2741	128	8	the	the	DET
cana-2741	128	9	concentration	concentration	NOUN
cana-2741	128	10	of	of	ADP
cana-2741	128	11	substrate	substrate	NOUN
cana-2741	128	12	s2	s2	NOUN
cana-2741	128	13	for	for	ADP
cana-2741	128	14	numerous	numerous	ADJ
cana-2741	128	15	values	value	NOUN
cana-2741	128	16	of	of	ADP
cana-2741	128	17	𝜒𝒮2	𝜒𝒮2	PROPN
cana-2741	128	18	depends	depend	VERB
cana-2741	128	19	on	on	ADP
cana-2741	128	20	the	the	DET
cana-2741	128	21	constant	constant	ADJ
cana-2741	128	22	value	value	NOUN
cana-2741	128	23	of	of	ADP
cana-2741	128	24	𝜒𝒮1	𝜒𝒮1	PROPN
cana-2741	128	25	.the	.the	DET
cana-2741	128	26	concentration	concentration	NOUN
cana-2741	128	27	slowly	slowly	ADV
cana-2741	128	28	decreases	decrease	VERB
cana-2741	128	29	whenever	whenever	SCONJ
cana-2741	128	30	the	the	DET
cana-2741	128	31	diffusion	diffusion	NOUN
cana-2741	128	32	parameter	parameter	NOUN
cana-2741	128	33	𝜒𝒮2	𝜒𝒮2	PROPN
cana-2741	128	34	increases	increase	NOUN
cana-2741	128	35	.	.	PUNCT
cana-2741	129	1	at	at	ADP
cana-2741	129	2	the	the	DET
cana-2741	129	3	time	time	NOUN
cana-2741	129	4	t	t	NOUN
cana-2741	129	5	=	=	SYM
cana-2741	129	6	1	1	NUM
cana-2741	129	7	,	,	PUNCT
cana-2741	129	8	the	the	DET
cana-2741	129	9	concentration	concentration	NOUN
cana-2741	129	10	of	of	ADP
cana-2741	129	11	species	specie	NOUN
cana-2741	129	12	s2	s2	NOUN
cana-2741	129	13	reaches	reach	VERB
cana-2741	129	14	the	the	DET
cana-2741	129	15	constant	constant	ADJ
cana-2741	129	16	state	state	NOUN
cana-2741	129	17	for	for	ADP
cana-2741	129	18	very	very	ADV
cana-2741	129	19	small	small	ADJ
cana-2741	129	20	amount	amount	NOUN
cana-2741	129	21	of	of	ADP
cana-2741	129	22	reaction	reaction	NOUN
cana-2741	129	23	rate	rate	NOUN
cana-2741	129	24	constant	constant	ADJ
cana-2741	129	25	𝜒𝒮2	𝜒𝒮2	PROPN
cana-2741	129	26	≤	≤	NOUN
cana-2741	129	27	1	1	NUM
cana-2741	129	28	.	.	PUNCT
cana-2741	130	1	the	the	DET
cana-2741	130	2	series	series	NOUN
cana-2741	130	3	of	of	ADP
cana-2741	130	4	normalized	normalize	VERB
cana-2741	130	5	concentration	concentration	NOUN
cana-2741	130	6	profiles	profile	NOUN
cana-2741	130	7	for	for	ADP
cana-2741	130	8	a	a	DET
cana-2741	130	9	mediator	mediator	NOUN
cana-2741	130	10	is	be	AUX
cana-2741	130	11	present	present	ADJ
cana-2741	130	12	in	in	ADP
cana-2741	130	13	figure	figure	NOUN
cana-2741	130	14	1(c	1(c	NUM
cana-2741	130	15	)	)	PUNCT
cana-2741	130	16	for	for	ADP
cana-2741	130	17	various	various	ADJ
cana-2741	130	18	values	value	NOUN
cana-2741	130	19	of	of	ADP
cana-2741	130	20	the	the	DET
cana-2741	130	21	𝜒ℳ	𝜒ℳ	PROPN
cana-2741	130	22	and	and	CCONJ
cana-2741	130	23	𝜒𝒮1	𝜒𝒮1	PROPN
cana-2741	130	24	reaction	reaction	NOUN
cana-2741	130	25	diffusion	diffusion	NOUN
cana-2741	130	26	parameters	parameter	NOUN
cana-2741	130	27	.	.	PUNCT
cana-2741	131	1	all	all	DET
cana-2741	131	2	values	value	NOUN
cana-2741	131	3	of	of	ADP
cana-2741	131	4	𝜒ℳ	𝜒ℳ	PROPN
cana-2741	131	5	and	and	CCONJ
cana-2741	131	6	𝜒𝒮1	𝜒𝒮1	PROPN
cana-2741	131	7	that	that	PRON
cana-2741	131	8	are	be	AUX
cana-2741	131	9	both	both	ADV
cana-2741	131	10	less	less	ADJ
cana-2741	131	11	than	than	ADP
cana-2741	131	12	or	or	CCONJ
cana-2741	131	13	equal	equal	ADJ
cana-2741	131	14	to	to	ADP
cana-2741	131	15	1	1	NUM
cana-2741	131	16	can	can	AUX
cana-2741	131	17	be	be	AUX
cana-2741	131	18	deduced	deduce	VERB
cana-2741	131	19	that	that	SCONJ
cana-2741	131	20	it	it	PRON
cana-2741	131	21	is	be	AUX
cana-2741	131	22	substantially	substantially	ADV
cana-2741	131	23	equal	equal	ADJ
cana-2741	131	24	to	to	ADP
cana-2741	131	25	1	1	NUM
cana-2741	131	26	.	.	PUNCT
cana-2741	132	1	as	as	SCONJ
cana-2741	132	2	𝜃	𝜃	PRON
cana-2741	132	3	increases	increase	VERB
cana-2741	132	4	either	either	PRON
cana-2741	132	5	𝜒ℳ	𝜒ℳ	NOUN
cana-2741	132	6	increases	increase	VERB
cana-2741	132	7	.	.	PUNCT
cana-2741	133	1	figure	figure	NOUN
cana-2741	133	2	2	2	NUM
cana-2741	133	3	.	.	PUNCT
cana-2741	133	4	comparison	comparison	NOUN
cana-2741	133	5	of	of	ADP
cana-2741	133	6	the	the	DET
cana-2741	133	7	solutions	solution	NOUN
cana-2741	133	8	both	both	CCONJ
cana-2741	133	9	analytically	analytically	ADV
cana-2741	133	10	and	and	CCONJ
cana-2741	133	11	numerically	numerically	ADV
cana-2741	133	12	for	for	ADP
cana-2741	133	13	different	different	ADJ
cana-2741	133	14	values	value	NOUN
cana-2741	133	15	of	of	ADP
cana-2741	133	16	(	(	PUNCT
cana-2741	133	17	a	a	NOUN
cana-2741	133	18	)	)	PUNCT
cana-2741	133	19	𝜒𝒮2	𝜒𝒮2	PROPN
cana-2741	133	20	=	=	SYM
cana-2741	133	21	5	5	NUM
cana-2741	133	22	,	,	PUNCT
cana-2741	133	23	10	10	NUM
cana-2741	133	24	,	,	PUNCT
cana-2741	133	25	20	20	NUM
cana-2741	133	26	,	,	PUNCT
cana-2741	133	27	30	30	NUM
cana-2741	133	28	,	,	PUNCT
cana-2741	133	29	50	50	NUM
cana-2741	133	30	and	and	CCONJ
cana-2741	133	31	for	for	ADP
cana-2741	133	32	fixed	fix	VERB
cana-2741	133	33	t	t	NOUN
cana-2741	133	34	=	=	SYM
cana-2741	133	35	1	1	NUM
cana-2741	133	36	,	,	PUNCT
cana-2741	133	37	𝜒𝒮1	𝜒𝒮1	PROPN
cana-2741	133	38	=	=	SYM
cana-2741	133	39	10	10	NUM
cana-2741	133	40	(	(	PUNCT
cana-2741	133	41	b	b	NOUN
cana-2741	133	42	)	)	PUNCT
cana-2741	133	43	𝜒ℳ	𝜒ℳ	NOUN
cana-2741	133	44	=	=	PUNCT
cana-2741	134	1	3	3	NUM
cana-2741	134	2	,	,	PUNCT
cana-2741	134	3	5	5	NUM
cana-2741	134	4	,	,	PUNCT
cana-2741	134	5	10	10	NUM
cana-2741	134	6	,	,	PUNCT
cana-2741	134	7	15	15	NUM
cana-2741	134	8	and	and	CCONJ
cana-2741	134	9	for	for	ADP
cana-2741	134	10	fixed	fix	VERB
cana-2741	134	11	t	t	NOUN
cana-2741	134	12	=	=	SYM
cana-2741	134	13	1	1	NUM
cana-2741	134	14	,	,	PUNCT
cana-2741	134	15	𝜒𝒮1	𝜒𝒮1	PROPN
cana-2741	134	16	=	=	SYM
cana-2741	134	17	10	10	NUM
cana-2741	134	18	.	.	PUNCT
cana-2741	135	1	the	the	DET
cana-2741	135	2	numerical	numerical	ADJ
cana-2741	135	3	solution	solution	NOUN
cana-2741	135	4	is	be	AUX
cana-2741	135	5	shown	show	VERB
cana-2741	135	6	by	by	ADP
cana-2741	135	7	solid	solid	ADJ
cana-2741	135	8	line	line	NOUN
cana-2741	135	9	and	and	CCONJ
cana-2741	135	10	the	the	DET
cana-2741	135	11	analytical	analytical	ADJ
cana-2741	135	12	finding	finding	NOUN
cana-2741	135	13	is	be	AUX
cana-2741	135	14	depicted	depict	VERB
cana-2741	135	15	by	by	ADP
cana-2741	135	16	the	the	DET
cana-2741	135	17	dotted	dotted	ADJ
cana-2741	135	18	line	line	NOUN
cana-2741	135	19	.	.	PUNCT
cana-2741	136	1	figure	figure	NOUN
cana-2741	136	2	2(a	2(a	NUM
cana-2741	136	3	)	)	PUNCT
cana-2741	136	4	which	which	PRON
cana-2741	136	5	states	state	VERB
cana-2741	136	6	that	that	SCONJ
cana-2741	136	7	𝜂	𝜂	NOUN
cana-2741	136	8	quickly	quickly	ADV
cana-2741	136	9	falls	fall	VERB
cana-2741	136	10	down	down	ADP
cana-2741	136	11	when	when	SCONJ
cana-2741	136	12	the	the	DET
cana-2741	136	13	diffusion	diffusion	NOUN
cana-2741	136	14	parameter	parameter	NOUN
cana-2741	136	15	increases	increase	VERB
cana-2741	136	16	as	as	ADV
cana-2741	136	17	well	well	ADV
cana-2741	136	18	as	as	ADP
cana-2741	136	19	the	the	DET
cana-2741	136	20	for	for	ADP
cana-2741	136	21	large	large	ADJ
cana-2741	136	22	value	value	NOUN
cana-2741	136	23	of	of	ADP
cana-2741	136	24	𝜒𝒮1	𝜒𝒮1	PROPN
cana-2741	136	25	≥	≥	PROPN
cana-2741	136	26	10	10	NUM
cana-2741	136	27	.	.	PUNCT
cana-2741	137	1	the	the	DET
cana-2741	137	2	concentration	concentration	NOUN
cana-2741	137	3	slowly	slowly	ADV
cana-2741	137	4	falls	fall	VERB
cana-2741	137	5	down	down	ADP
cana-2741	137	6	and	and	CCONJ
cana-2741	137	7	reaches	reach	VERB
cana-2741	137	8	the	the	DET
cana-2741	137	9	steady	steady	ADJ
cana-2741	137	10	state	state	NOUN
cana-2741	137	11	for	for	ADP
cana-2741	137	12	very	very	ADV
cana-2741	137	13	large	large	ADJ
cana-2741	137	14	value	value	NOUN
cana-2741	137	15	of	of	ADP
cana-2741	137	16	reaction	reaction	NOUN
cana-2741	137	17	rate	rate	NOUN
cana-2741	137	18	constant	constant	ADJ
cana-2741	137	19	𝜒𝒮2	𝜒𝒮2	PROPN
cana-2741	137	20	≥	≥	NOUN
cana-2741	137	21	50	50	NUM
cana-2741	137	22	.	.	PUNCT
cana-2741	138	1	that	that	PRON
cana-2741	138	2	is	is	ADV
cana-2741	138	3	,	,	PUNCT
cana-2741	138	4	the	the	DET
cana-2741	138	5	concentration	concentration	NOUN
cana-2741	138	6	of	of	ADP
cana-2741	138	7	species	specie	NOUN
cana-2741	138	8	s2	s2	NOUN
cana-2741	138	9	is	be	AUX
cana-2741	138	10	inversely	inversely	ADV
cana-2741	138	11	proportional	proportional	ADJ
cana-2741	138	12	to	to	ADP
cana-2741	138	13	the	the	DET
cana-2741	138	14	reaction	reaction	NOUN
cana-2741	138	15	rate	rate	NOUN
cana-2741	138	16	constant	constant	ADJ
cana-2741	138	17	𝜒𝒮2	𝜒𝒮2	PROPN
cana-2741	138	18	.	.	PUNCT
cana-2741	139	1	as	as	ADP
cana-2741	139	2	the	the	DET
cana-2741	139	3	very	very	ADV
cana-2741	139	4	large	large	ADJ
cana-2741	139	5	amount	amount	NOUN
cana-2741	139	6	of	of	ADP
cana-2741	139	7	non	non	ADJ
cana-2741	139	8	-	-	ADJ
cana-2741	139	9	dimensional	dimensional	ADJ
cana-2741	139	10	distance	distance	NOUN
cana-2741	139	11	at	at	ADP
cana-2741	139	12	x	x	X
cana-2741	139	13	=	=	SYM
cana-2741	139	14	1	1	NUM
cana-2741	139	15	,	,	PUNCT
cana-2741	139	16	the	the	DET
cana-2741	139	17	concentration	concentration	NOUN
cana-2741	139	18	attains	attain	VERB
cana-2741	139	19	its	its	PRON
cana-2741	139	20	maximum	maximum	ADJ
cana-2741	139	21	value	value	NOUN
cana-2741	139	22	and	and	CCONJ
cana-2741	139	23	the	the	DET
cana-2741	139	24	concentration	concentration	NOUN
cana-2741	139	25	falls	fall	VERB
cana-2741	139	26	for	for	ADP
cana-2741	139	27	x≤	x≤	PROPN
cana-2741	139	28	1	1	NUM
cana-2741	139	29	.	.	PUNCT
cana-2741	140	1	according	accord	VERB
cana-2741	140	2	to	to	ADP
cana-2741	140	3	the	the	DET
cana-2741	140	4	range	range	NOUN
cana-2741	140	5	x≤0.1	x≤0.1	PROPN
cana-2741	140	6	,	,	PUNCT
cana-2741	140	7	the	the	DET
cana-2741	140	8	mediator	mediator	NOUN
cana-2741	140	9	concentration	concentration	NOUN
cana-2741	140	10	is	be	AUX
cana-2741	140	11	uniform	uniform	ADJ
cana-2741	140	12	.	.	PUNCT
cana-2741	141	1	that	that	PRON
cana-2741	141	2	is	be	AUX
cana-2741	141	3	the	the	DET
cana-2741	141	4	inclined	inclined	ADJ
cana-2741	141	5	curve	curve	NOUN
cana-2741	141	6	turned	turn	VERB
cana-2741	141	7	into	into	ADP
cana-2741	141	8	the	the	DET
cana-2741	141	9	straight	straight	ADJ
cana-2741	141	10	line	line	NOUN
cana-2741	141	11	.	.	PUNCT
cana-2741	142	1	figure	figure	NOUN
cana-2741	142	2	2(b	2(b	NUM
cana-2741	142	3	)	)	PUNCT
cana-2741	142	4	delivered	deliver	VERB
cana-2741	142	5	that	that	SCONJ
cana-2741	142	6	the	the	DET
cana-2741	142	7	concentration	concentration	NOUN
cana-2741	142	8	of	of	ADP
cana-2741	142	9	mediator	mediator	NOUN
cana-2741	142	10	rises	rise	VERB
cana-2741	142	11	for	for	ADP
cana-2741	142	12	all	all	DET
cana-2741	142	13	large	large	ADJ
cana-2741	142	14	values	value	NOUN
cana-2741	142	15	of	of	ADP
cana-2741	142	16	diffusion	diffusion	NOUN
cana-2741	142	17	parameter	parameter	NOUN
cana-2741	142	18	𝜒ℳ.	𝜒ℳ.	NOUN
cana-2741	142	19	for	for	ADP
cana-2741	142	20	the	the	DET
cana-2741	142	21	maximal	maximal	ADJ
cana-2741	142	22	value	value	NOUN
cana-2741	142	23	of	of	ADP
cana-2741	142	24	reaction	reaction	NOUN
cana-2741	142	25	rate	rate	NOUN
cana-2741	142	26	constant	constant	ADJ
cana-2741	142	27	,	,	PUNCT
cana-2741	142	28	the	the	DET
cana-2741	142	29	concentration	concentration	NOUN
cana-2741	142	30	is	be	AUX
cana-2741	142	31	perpendicular	perpendicular	ADJ
cana-2741	142	32	to	to	ADP
cana-2741	142	33	the	the	DET
cana-2741	142	34	dimensionless	dimensionless	NOUN
cana-2741	142	35	distance	distance	NOUN
cana-2741	142	36	x.	x.	NOUN
cana-2741	143	1	the	the	DET
cana-2741	143	2	concentration	concentration	NOUN
cana-2741	143	3	of	of	ADP
cana-2741	143	4	mediator	mediator	NOUN
cana-2741	143	5	approaches	approach	VERB
cana-2741	143	6	the	the	DET
cana-2741	143	7	stable	stable	ADJ
cana-2741	143	8	state	state	NOUN
cana-2741	143	9	for	for	ADP
cana-2741	143	10	the	the	DET
cana-2741	143	11	reaction	reaction	NOUN
cana-2741	143	12	rate	rate	NOUN
cana-2741	143	13	constant	constant	PROPN
cana-2741	143	14	𝜒ℳ	𝜒ℳ	PROPN
cana-2741	143	15	≥	≥	NUM
cana-2741	143	16	10	10	NUM
cana-2741	143	17	.	.	PUNCT
cana-2741	144	1	the	the	DET
cana-2741	144	2	influence	influence	NOUN
cana-2741	144	3	of	of	ADP
cana-2741	144	4	the	the	DET
cana-2741	144	5	parameter	parameter	NOUN
cana-2741	144	6	𝜒ℳ	𝜒ℳ	PROPN
cana-2741	144	7	which	which	PRON
cana-2741	144	8	is	be	AUX
cana-2741	144	9	directionally	directionally	ADV
cana-2741	144	10	proportional	proportional	ADJ
cana-2741	144	11	to	to	ADP
cana-2741	144	12	the	the	DET
cana-2741	144	13	concentration	concentration	NOUN
cana-2741	144	14	of	of	ADP
cana-2741	144	15	mediator	mediator	NOUN
cana-2741	144	16	.	.	PUNCT
cana-2741	145	1	the	the	DET
cana-2741	145	2	analytical	analytical	ADJ
cana-2741	145	3	and	and	CCONJ
cana-2741	145	4	numerical	numerical	ADJ
cana-2741	145	5	values	value	NOUN
cana-2741	145	6	are	be	AUX
cana-2741	145	7	coincide	coincide	ADJ
cana-2741	145	8	for	for	ADP
cana-2741	145	9	increasing	increase	VERB
cana-2741	145	10	values	value	NOUN
cana-2741	145	11	of	of	ADP
cana-2741	145	12	the	the	DET
cana-2741	145	13	reaction	reaction	NOUN
cana-2741	145	14	rate	rate	NOUN
cana-2741	145	15	constant	constant	ADJ
cana-2741	145	16	𝜒ℳ.	𝜒ℳ.	NOUN
cana-2741	145	17	communications	communication	NOUN
cana-2741	145	18	on	on	ADP
cana-2741	145	19	applied	apply	VERB
cana-2741	145	20	nonlinear	nonlinear	ADJ
cana-2741	145	21	analysis	analysis	NOUN
cana-2741	145	22	issn	issn	NOUN
cana-2741	145	23	:	:	PUNCT
cana-2741	145	24	1074	1074	NUM
cana-2741	145	25	-	-	PUNCT
cana-2741	145	26	133x	133x	NUM
cana-2741	145	27	vol	vol	NOUN
cana-2741	145	28	32	32	NUM
cana-2741	145	29	no	no	NOUN
cana-2741	145	30	.	.	PUNCT
cana-2741	146	1	4s	4s	NUM
cana-2741	146	2	(	(	PUNCT
cana-2741	146	3	2025	2025	NUM
cana-2741	146	4	)	)	PUNCT
cana-2741	146	5	105	105	NUM
cana-2741	146	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2741	146	7	figure	figure	NOUN
cana-2741	146	8	3	3	NUM
cana-2741	146	9	.	.	PUNCT
cana-2741	147	1	the	the	DET
cana-2741	147	2	analytical	analytical	ADJ
cana-2741	147	3	solutions	solution	NOUN
cana-2741	147	4	compare	compare	VERB
cana-2741	147	5	to	to	ADP
cana-2741	147	6	the	the	DET
cana-2741	147	7	numerical	numerical	ADJ
cana-2741	147	8	findings	finding	NOUN
cana-2741	147	9	for	for	ADP
cana-2741	147	10	different	different	ADJ
cana-2741	147	11	values	value	NOUN
cana-2741	147	12	of	of	ADP
cana-2741	147	13	(	(	PUNCT
cana-2741	147	14	a	a	NOUN
cana-2741	147	15	)	)	PUNCT
cana-2741	147	16	𝜒𝒮2	𝜒𝒮2	PROPN
cana-2741	147	17	=	=	SYM
cana-2741	147	18	10	10	NUM
cana-2741	147	19	,	,	PUNCT
cana-2741	147	20	20	20	NUM
cana-2741	147	21	,	,	PUNCT
cana-2741	147	22	50	50	NUM
cana-2741	147	23	,	,	PUNCT
cana-2741	147	24	100	100	NUM
cana-2741	147	25	and	and	CCONJ
cana-2741	147	26	for	for	ADP
cana-2741	147	27	fixed	fix	VERB
cana-2741	147	28	t	t	NOUN
cana-2741	147	29	=	=	SYM
cana-2741	147	30	1	1	NUM
cana-2741	147	31	,	,	PUNCT
cana-2741	147	32	𝜒𝒮1	𝜒𝒮1	PROPN
cana-2741	147	33	=	=	SYM
cana-2741	147	34	30	30	NUM
cana-2741	147	35	(	(	PUNCT
cana-2741	147	36	b	b	NOUN
cana-2741	147	37	)	)	PUNCT
cana-2741	147	38	𝜒ℳ	𝜒ℳ	NOUN
cana-2741	148	1	=	=	PUNCT
cana-2741	149	1	5	5	NUM
cana-2741	149	2	,	,	PUNCT
cana-2741	149	3	10	10	NUM
cana-2741	149	4	,	,	PUNCT
cana-2741	149	5	20	20	NUM
cana-2741	149	6	,	,	PUNCT
cana-2741	149	7	30	30	NUM
cana-2741	149	8	and	and	CCONJ
cana-2741	149	9	for	for	ADP
cana-2741	149	10	fixed	fix	VERB
cana-2741	149	11	t	t	NOUN
cana-2741	149	12	=	=	SYM
cana-2741	149	13	1	1	NUM
cana-2741	149	14	,	,	PUNCT
cana-2741	149	15	𝜒𝒮1	𝜒𝒮1	PROPN
cana-2741	149	16	=	=	SYM
cana-2741	149	17	30	30	NUM
cana-2741	149	18	.	.	PUNCT
cana-2741	150	1	the	the	DET
cana-2741	150	2	solid	solid	ADJ
cana-2741	150	3	line	line	NOUN
cana-2741	150	4	represents	represent	VERB
cana-2741	150	5	numerical	numerical	ADJ
cana-2741	150	6	findings	finding	NOUN
cana-2741	150	7	and	and	CCONJ
cana-2741	150	8	dotted	dotted	ADJ
cana-2741	150	9	line	line	NOUN
cana-2741	150	10	indicates	indicate	VERB
cana-2741	150	11	analytical	analytical	ADJ
cana-2741	150	12	findings	finding	NOUN
cana-2741	150	13	.	.	PUNCT
cana-2741	151	1	figure	figure	NOUN
cana-2741	151	2	3(a	3(a	NUM
cana-2741	151	3	)	)	PUNCT
cana-2741	151	4	illustrates	illustrate	VERB
cana-2741	151	5	the	the	DET
cana-2741	151	6	intricate	intricate	ADJ
cana-2741	151	7	relationship	relationship	NOUN
cana-2741	151	8	between	between	ADP
cana-2741	151	9	the	the	DET
cana-2741	151	10	species	species	NOUN
cana-2741	151	11	s1	s1	NOUN
cana-2741	151	12	concentration	concentration	NOUN
cana-2741	151	13	and	and	CCONJ
cana-2741	151	14	the	the	DET
cana-2741	151	15	reaction	reaction	NOUN
cana-2741	151	16	rate	rate	NOUN
cana-2741	151	17	constant	constant	ADJ
cana-2741	151	18	𝜒𝒮2	𝜒𝒮2	PROPN
cana-2741	151	19	and	and	CCONJ
cana-2741	151	20	for	for	ADP
cana-2741	151	21	fixed	fix	VERB
cana-2741	151	22	𝜒𝒮1	𝜒𝒮1	PROPN
cana-2741	151	23	=	=	SYM
cana-2741	151	24	30	30	NUM
cana-2741	151	25	.	.	PUNCT
cana-2741	152	1	this	this	DET
cana-2741	152	2	representation	representation	NOUN
cana-2741	152	3	shows	show	VERB
cana-2741	152	4	that	that	SCONJ
cana-2741	152	5	when	when	SCONJ
cana-2741	152	6	the	the	DET
cana-2741	152	7	nondimensional	nondimensional	ADJ
cana-2741	152	8	distance	distance	NOUN
cana-2741	152	9	increases	increase	NOUN
cana-2741	152	10	,	,	PUNCT
cana-2741	152	11	the	the	DET
cana-2741	152	12	concentration	concentration	NOUN
cana-2741	152	13	drops	drop	VERB
cana-2741	152	14	with	with	ADP
cana-2741	152	15	a	a	DET
cana-2741	152	16	decreasing	decrease	VERB
cana-2741	152	17	parameter	parameter	NOUN
cana-2741	152	18	𝜒𝒮2	𝜒𝒮2	PROPN
cana-2741	152	19	.	.	PUNCT
cana-2741	153	1	the	the	DET
cana-2741	153	2	variation	variation	NOUN
cana-2741	153	3	of	of	ADP
cana-2741	153	4	the	the	DET
cana-2741	153	5	concentration	concentration	NOUN
cana-2741	153	6	profile	profile	NOUN
cana-2741	153	7	also	also	ADV
cana-2741	153	8	rises	rise	VERB
cana-2741	153	9	with	with	ADP
cana-2741	153	10	an	an	DET
cana-2741	153	11	increase	increase	NOUN
cana-2741	153	12	in	in	ADP
cana-2741	153	13	total	total	ADJ
cana-2741	153	14	concentration	concentration	NOUN
cana-2741	153	15	.	.	PUNCT
cana-2741	154	1	as	as	ADP
cana-2741	154	2	a	a	DET
cana-2741	154	3	result	result	NOUN
cana-2741	154	4	,	,	PUNCT
cana-2741	154	5	when	when	SCONJ
cana-2741	154	6	𝜒𝒮2	𝜒𝒮2	PROPN
cana-2741	154	7	is	be	AUX
cana-2741	154	8	al	al	PROPN
cana-2741	154	9	lowest	low	ADJ
cana-2741	154	10	,	,	PUNCT
cana-2741	154	11	the	the	DET
cana-2741	154	12	species	species	NOUN
cana-2741	154	13	concentration	concentration	NOUN
cana-2741	154	14	approaches	approach	VERB
cana-2741	154	15	zero	zero	NUM
cana-2741	154	16	.	.	PUNCT
cana-2741	155	1	the	the	DET
cana-2741	155	2	relationship	relationship	NOUN
cana-2741	155	3	between	between	ADP
cana-2741	155	4	the	the	DET
cana-2741	155	5	species	species	NOUN
cana-2741	155	6	diffusion	diffusion	NOUN
cana-2741	155	7	parameter	parameter	NOUN
cana-2741	155	8	𝜒𝒮2	𝜒𝒮2	PROPN
cana-2741	155	9	and	and	CCONJ
cana-2741	155	10	the	the	DET
cana-2741	155	11	concentration	concentration	NOUN
cana-2741	155	12	is	be	AUX
cana-2741	155	13	inversely	inversely	ADV
cana-2741	155	14	correlated	correlate	VERB
cana-2741	155	15	whereas	whereas	SCONJ
cana-2741	155	16	the	the	DET
cana-2741	155	17	species	species	NOUN
cana-2741	155	18	diffusion	diffusion	NOUN
cana-2741	155	19	coefficient	coefficient	NOUN
cana-2741	155	20	is	be	AUX
cana-2741	155	21	directly	directly	ADV
cana-2741	155	22	correlated	correlate	VERB
cana-2741	155	23	.	.	PUNCT
cana-2741	156	1	as	as	SCONJ
cana-2741	156	2	seen	see	VERB
cana-2741	156	3	in	in	ADP
cana-2741	156	4	figure	figure	NOUN
cana-2741	156	5	3(b	3(b	NUM
cana-2741	156	6	)	)	PUNCT
cana-2741	156	7	,	,	PUNCT
cana-2741	156	8	the	the	DET
cana-2741	156	9	fluctuation	fluctuation	NOUN
cana-2741	156	10	of	of	ADP
cana-2741	156	11	mediator	mediator	NOUN
cana-2741	156	12	concentration	concentration	NOUN
cana-2741	156	13	for	for	ADP
cana-2741	156	14	various	various	ADJ
cana-2741	156	15	system	system	NOUN
cana-2741	156	16	characteristics	characteristic	NOUN
cana-2741	156	17	is	be	AUX
cana-2741	156	18	approximated	approximate	VERB
cana-2741	156	19	using	use	VERB
cana-2741	156	20	eqn.(3.30	eqn.(3.30	NOUN
cana-2741	156	21	)	)	PUNCT
cana-2741	156	22	and	and	CCONJ
cana-2741	156	23	the	the	DET
cana-2741	156	24	results	result	NOUN
cana-2741	156	25	are	be	AUX
cana-2741	156	26	compared	compare	VERB
cana-2741	156	27	to	to	ADP
cana-2741	156	28	numerical	numerical	ADJ
cana-2741	156	29	data	data	PROPN
cana-2741	156	30	.	.	PUNCT
cana-2741	157	1	the	the	DET
cana-2741	157	2	rate	rate	NOUN
cana-2741	157	3	of	of	ADP
cana-2741	157	4	progress	progress	NOUN
cana-2741	157	5	at	at	ADP
cana-2741	157	6	which	which	PRON
cana-2741	157	7	mediator	mediator	NOUN
cana-2741	157	8	is	be	AUX
cana-2741	157	9	extracted	extract	VERB
cana-2741	157	10	from	from	ADP
cana-2741	157	11	the	the	DET
cana-2741	157	12	film	film	NOUN
cana-2741	157	13	drops	drop	VERB
cana-2741	157	14	when	when	SCONJ
cana-2741	157	15	the	the	DET
cana-2741	157	16	diffusion	diffusion	NOUN
cana-2741	157	17	parameter	parameter	NOUN
cana-2741	157	18	for	for	ADP
cana-2741	157	19	mediator	mediator	NOUN
cana-2741	157	20	𝜒ℳ	𝜒ℳ	PROPN
cana-2741	157	21	improves	improve	VERB
cana-2741	157	22	over	over	ADP
cana-2741	157	23	the	the	DET
cana-2741	157	24	layer	layer	NOUN
cana-2741	157	25	interface	interface	NOUN
cana-2741	157	26	.	.	PUNCT
cana-2741	158	1	it	it	PRON
cana-2741	158	2	can	can	AUX
cana-2741	158	3	be	be	AUX
cana-2741	158	4	deduced	deduce	VERB
cana-2741	158	5	that	that	SCONJ
cana-2741	158	6	𝜒ℳ	𝜒ℳ	PROPN
cana-2741	158	7	is	be	AUX
cana-2741	158	8	in	in	ADP
cana-2741	158	9	reverse	reverse	ADJ
cana-2741	158	10	proportion	proportion	NOUN
cana-2741	158	11	to	to	ADP
cana-2741	158	12	mediator	mediator	NOUN
cana-2741	158	13	concentration	concentration	NOUN
cana-2741	158	14	,	,	PUNCT
cana-2741	158	15	meaning	mean	VERB
cana-2741	158	16	that	that	SCONJ
cana-2741	158	17	when	when	SCONJ
cana-2741	158	18	the	the	DET
cana-2741	158	19	diffusion	diffusion	NOUN
cana-2741	158	20	parameter	parameter	NOUN
cana-2741	158	21	rises	rise	VERB
cana-2741	158	22	,	,	PUNCT
cana-2741	158	23	the	the	DET
cana-2741	158	24	substrate	substrate	NOUN
cana-2741	158	25	diffusion	diffusion	NOUN
cana-2741	158	26	coefficient	coefficient	NOUN
cana-2741	158	27	declines	decline	NOUN
cana-2741	158	28	or	or	CCONJ
cana-2741	158	29	the	the	DET
cana-2741	158	30	layer	layer	NOUN
cana-2741	158	31	thickness	thickness	NOUN
cana-2741	158	32	grows	grow	VERB
cana-2741	158	33	.	.	PUNCT
cana-2741	159	1	figure	figure	VERB
cana-2741	159	2	4	4	NUM
cana-2741	159	3	.	.	PUNCT
cana-2741	160	1	graph	graph	NOUN
cana-2741	160	2	concentration	concentration	NOUN
cana-2741	160	3	profiles	profile	NOUN
cana-2741	160	4	of	of	ADP
cana-2741	160	5	species	species	NOUN
cana-2741	160	6	s1	s1	NOUN
cana-2741	160	7	,	,	PUNCT
cana-2741	160	8	s2	s2	NOUN
cana-2741	160	9	and	and	CCONJ
cana-2741	160	10	mediator	mediator	NOUN
cana-2741	160	11	versus	versus	ADP
cana-2741	160	12	dimensionless	dimensionless	NOUN
cana-2741	160	13	time	time	NOUN
cana-2741	160	14	t.	t.	NOUN
cana-2741	160	15	figure	figure	NOUN
cana-2741	160	16	4(a	4(a	NUM
cana-2741	160	17	)	)	PUNCT
cana-2741	160	18	and	and	CCONJ
cana-2741	160	19	4(b	4(b	NUM
cana-2741	160	20	)	)	PUNCT
cana-2741	160	21	represent	represent	VERB
cana-2741	160	22	the	the	DET
cana-2741	160	23	comparison	comparison	NOUN
cana-2741	160	24	of	of	ADP
cana-2741	160	25	concentration	concentration	NOUN
cana-2741	160	26	of	of	ADP
cana-2741	160	27	species	species	NOUN
cana-2741	160	28	s1	s1	NOUN
cana-2741	160	29	,	,	PUNCT
cana-2741	160	30	s2	s2	NOUN
cana-2741	160	31	and	and	CCONJ
cana-2741	160	32	mediator	mediator	NOUN
cana-2741	160	33	with	with	ADP
cana-2741	160	34	the	the	DET
cana-2741	160	35	various	various	ADJ
cana-2741	160	36	values	value	NOUN
cana-2741	160	37	of	of	ADP
cana-2741	160	38	non	non	ADJ
cana-2741	160	39	-	-	ADJ
cana-2741	160	40	dimensional	dimensional	ADJ
cana-2741	160	41	time	time	NOUN
cana-2741	160	42	.	.	PUNCT
cana-2741	161	1	the	the	DET
cana-2741	161	2	concentration	concentration	NOUN
cana-2741	161	3	of	of	ADP
cana-2741	161	4	s1	s1	NOUN
cana-2741	161	5	and	and	CCONJ
cana-2741	161	6	s2	s2	PROPN
cana-2741	161	7	falls	fall	VERB
cana-2741	161	8	down	down	ADP
cana-2741	161	9	as	as	SCONJ
cana-2741	161	10	the	the	DET
cana-2741	161	11	communications	communication	NOUN
cana-2741	161	12	on	on	ADP
cana-2741	161	13	applied	apply	VERB
cana-2741	161	14	nonlinear	nonlinear	ADJ
cana-2741	161	15	analysis	analysis	NOUN
cana-2741	161	16	issn	issn	NOUN
cana-2741	161	17	:	:	PUNCT
cana-2741	161	18	1074	1074	NUM
cana-2741	161	19	-	-	PUNCT
cana-2741	161	20	133x	133x	NUM
cana-2741	161	21	vol	vol	NOUN
cana-2741	161	22	32	32	NUM
cana-2741	161	23	no	no	NOUN
cana-2741	161	24	.	.	PUNCT
cana-2741	162	1	4s	4s	NUM
cana-2741	162	2	(	(	PUNCT
cana-2741	162	3	2025	2025	NUM
cana-2741	162	4	)	)	PUNCT
cana-2741	162	5	106	106	NUM
cana-2741	162	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2741	162	7	dimensionless	dimensionless	NOUN
cana-2741	162	8	time	time	NOUN
cana-2741	162	9	increases	increase	NOUN
cana-2741	162	10	.	.	PUNCT
cana-2741	163	1	as	as	ADV
cana-2741	163	2	well	well	ADV
cana-2741	163	3	as	as	SCONJ
cana-2741	163	4	the	the	DET
cana-2741	163	5	mediator	mediator	NOUN
cana-2741	163	6	concentration	concentration	NOUN
cana-2741	163	7	grows	grow	VERB
cana-2741	163	8	up	up	ADP
cana-2741	163	9	for	for	ADP
cana-2741	163	10	all	all	DET
cana-2741	163	11	greater	great	ADJ
cana-2741	163	12	amount	amount	NOUN
cana-2741	163	13	of	of	ADP
cana-2741	163	14	time	time	NOUN
cana-2741	163	15	.	.	PUNCT
cana-2741	164	1	it	it	PRON
cana-2741	164	2	depicts	depict	VERB
cana-2741	164	3	that	that	SCONJ
cana-2741	164	4	the	the	DET
cana-2741	164	5	concentration	concentration	NOUN
cana-2741	164	6	of	of	ADP
cana-2741	164	7	mediator	mediator	NOUN
cana-2741	164	8	inversely	inversely	ADV
cana-2741	164	9	proportional	proportional	ADJ
cana-2741	164	10	to	to	ADP
cana-2741	164	11	the	the	DET
cana-2741	164	12	species	specie	NOUN
cana-2741	164	13	concentration	concentration	NOUN
cana-2741	164	14	depends	depend	VERB
cana-2741	164	15	on	on	ADP
cana-2741	164	16	the	the	DET
cana-2741	164	17	increasing	increase	VERB
cana-2741	164	18	value	value	NOUN
cana-2741	164	19	time	time	NOUN
cana-2741	164	20	.	.	PUNCT
cana-2741	165	1	figure	figure	NOUN
cana-2741	165	2	5	5	NUM
cana-2741	165	3	.	.	PUNCT
cana-2741	165	4	plot	plot	NOUN
cana-2741	165	5	of	of	ADP
cana-2741	165	6	three	three	NUM
cana-2741	165	7	-	-	PUNCT
cana-2741	165	8	dimensional	dimensional	ADJ
cana-2741	165	9	substrate	substrate	NOUN
cana-2741	165	10	concentration	concentration	NOUN
cana-2741	165	11	s1	s1	NOUN
cana-2741	165	12	versus	versus	ADP
cana-2741	165	13	dimensionless	dimensionless	NOUN
cana-2741	165	14	distance	distance	NOUN
cana-2741	165	15	x	x	PUNCT
cana-2741	165	16	and	and	CCONJ
cana-2741	165	17	various	various	ADJ
cana-2741	165	18	values	value	NOUN
cana-2741	165	19	of	of	ADP
cana-2741	165	20	diffusion	diffusion	NOUN
cana-2741	165	21	parameter	parameter	PROPN
cana-2741	165	22	𝜒𝒮1	𝜒𝒮1	PROPN
cana-2741	165	23	.	.	PUNCT
cana-2741	166	1	figure	figure	NOUN
cana-2741	166	2	5	5	NUM
cana-2741	166	3	indicates	indicate	VERB
cana-2741	166	4	the	the	DET
cana-2741	166	5	three	three	NUM
cana-2741	166	6	-	-	PUNCT
cana-2741	166	7	dimensional	dimensional	ADJ
cana-2741	166	8	representation	representation	NOUN
cana-2741	166	9	of	of	ADP
cana-2741	166	10	concentration	concentration	NOUN
cana-2741	166	11	of	of	ADP
cana-2741	166	12	species	specie	NOUN
cana-2741	166	13	for	for	ADP
cana-2741	166	14	various	various	ADJ
cana-2741	166	15	diffusion	diffusion	NOUN
cana-2741	166	16	parameter	parameter	NOUN
cana-2741	166	17	versus	versus	ADP
cana-2741	166	18	dimensionless	dimensionless	NOUN
cana-2741	166	19	distance	distance	NOUN
cana-2741	166	20	.	.	PUNCT
cana-2741	167	1	it	it	PRON
cana-2741	167	2	evident	evident	ADJ
cana-2741	167	3	that	that	SCONJ
cana-2741	167	4	the	the	DET
cana-2741	167	5	dimensionless	dimensionless	NOUN
cana-2741	167	6	diffusion	diffusion	NOUN
cana-2741	167	7	parameter	parameter	NOUN
cana-2741	167	8	increases	increase	NOUN
cana-2741	167	9	,	,	PUNCT
cana-2741	167	10	the	the	DET
cana-2741	167	11	concentration	concentration	NOUN
cana-2741	167	12	of	of	ADP
cana-2741	167	13	species	specie	NOUN
cana-2741	167	14	gradually	gradually	ADV
cana-2741	167	15	decreases	decrease	VERB
cana-2741	167	16	depends	depend	VERB
cana-2741	167	17	on	on	ADP
cana-2741	167	18	the	the	DET
cana-2741	167	19	distance	distance	NOUN
cana-2741	167	20	x.	x.	NOUN
cana-2741	167	21	7	7	X
cana-2741	167	22	.	.	X
cana-2741	167	23	conclusion	conclusion	VERB
cana-2741	167	24	the	the	DET
cana-2741	167	25	system	system	NOUN
cana-2741	167	26	of	of	ADP
cana-2741	167	27	nonlinear	nonlinear	ADJ
cana-2741	167	28	reaction	reaction	NOUN
cana-2741	167	29	diffusion	diffusion	NOUN
cana-2741	167	30	equations	equation	NOUN
cana-2741	167	31	in	in	ADP
cana-2741	167	32	the	the	DET
cana-2741	167	33	spherical	spherical	ADJ
cana-2741	167	34	ultramicroelectrodes	ultramicroelectrode	NOUN
cana-2741	167	35	alongside	alongside	ADP
cana-2741	167	36	conducting	conduct	VERB
cana-2741	167	37	polymer	polymer	NOUN
cana-2741	167	38	modification	modification	NOUN
cana-2741	167	39	at	at	ADP
cana-2741	167	40	non	non	ADJ
cana-2741	167	41	-	-	ADJ
cana-2741	167	42	steady	steady	ADJ
cana-2741	167	43	state	state	NOUN
cana-2741	167	44	have	have	AUX
cana-2741	167	45	been	be	AUX
cana-2741	167	46	determined	determine	VERB
cana-2741	167	47	analytically	analytically	ADV
cana-2741	167	48	in	in	ADP
cana-2741	167	49	the	the	DET
cana-2741	167	50	present	present	ADJ
cana-2741	167	51	study	study	NOUN
cana-2741	167	52	.	.	PUNCT
cana-2741	168	1	homotopy	homotopy	NOUN
cana-2741	168	2	perturbation	perturbation	NOUN
cana-2741	168	3	method	method	NOUN
cana-2741	168	4	is	be	AUX
cana-2741	168	5	used	use	VERB
cana-2741	168	6	to	to	PART
cana-2741	168	7	achieve	achieve	VERB
cana-2741	168	8	the	the	DET
cana-2741	168	9	closed	closed	ADJ
cana-2741	168	10	analytical	analytical	ADJ
cana-2741	168	11	formulation	formulation	NOUN
cana-2741	168	12	of	of	ADP
cana-2741	168	13	concentration	concentration	NOUN
cana-2741	168	14	of	of	ADP
cana-2741	168	15	species	specie	NOUN
cana-2741	168	16	,	,	PUNCT
cana-2741	168	17	mediator	mediator	NOUN
cana-2741	168	18	and	and	CCONJ
cana-2741	168	19	current	current	ADJ
cana-2741	168	20	.	.	PUNCT
cana-2741	169	1	the	the	DET
cana-2741	169	2	non	non	ADJ
cana-2741	169	3	-	-	ADJ
cana-2741	169	4	steady	steady	ADJ
cana-2741	169	5	state	state	NOUN
cana-2741	169	6	current	current	ADJ
cana-2741	169	7	response	response	NOUN
cana-2741	169	8	is	be	AUX
cana-2741	169	9	provided	provide	VERB
cana-2741	169	10	in	in	ADP
cana-2741	169	11	intuitively	intuitively	ADV
cana-2741	169	12	by	by	ADP
cana-2741	169	13	a	a	DET
cana-2741	169	14	novel	novel	ADJ
cana-2741	169	15	analytical	analytical	ADJ
cana-2741	169	16	expression	expression	NOUN
cana-2741	169	17	.	.	PUNCT
cana-2741	170	1	the	the	DET
cana-2741	170	2	kinetic	kinetic	ADJ
cana-2741	170	3	properties	property	NOUN
cana-2741	170	4	of	of	ADP
cana-2741	170	5	the	the	DET
cana-2741	170	6	spherical	spherical	ADJ
cana-2741	170	7	ultramicroelectrodes	ultramicroelectrode	NOUN
cana-2741	170	8	will	will	AUX
cana-2741	170	9	be	be	AUX
cana-2741	170	10	discovered	discover	VERB
cana-2741	170	11	by	by	ADP
cana-2741	170	12	the	the	DET
cana-2741	170	13	excellent	excellent	ADJ
cana-2741	170	14	analytical	analytical	ADJ
cana-2741	170	15	outcomes	outcome	NOUN
cana-2741	170	16	.	.	PUNCT
cana-2741	171	1	these	these	DET
cana-2741	171	2	analytical	analytical	ADJ
cana-2741	171	3	findings	finding	NOUN
cana-2741	171	4	allow	allow	VERB
cana-2741	171	5	one	one	PRON
cana-2741	171	6	to	to	PART
cana-2741	171	7	qualitatively	qualitatively	ADV
cana-2741	171	8	evaluate	evaluate	VERB
cana-2741	171	9	the	the	DET
cana-2741	171	10	characteristics	characteristic	NOUN
cana-2741	171	11	of	of	ADP
cana-2741	171	12	spherical	spherical	ADJ
cana-2741	171	13	ultramicroelectrodes	ultramicroelectrode	NOUN
cana-2741	171	14	with	with	ADP
cana-2741	171	15	polymer	polymer	NOUN
cana-2741	171	16	modification	modification	NOUN
cana-2741	171	17	.	.	PUNCT
cana-2741	172	1	concerning	concern	VERB
cana-2741	172	2	other	other	ADJ
cana-2741	172	3	analytical	analytical	ADJ
cana-2741	172	4	procedures	procedure	NOUN
cana-2741	172	5	,	,	PUNCT
cana-2741	172	6	this	this	DET
cana-2741	172	7	method	method	NOUN
cana-2741	172	8	is	be	AUX
cana-2741	172	9	clear	clear	ADV
cana-2741	172	10	-	-	PUNCT
cana-2741	172	11	cut	cut	NOUN
cana-2741	172	12	,	,	PUNCT
cana-2741	172	13	has	have	VERB
cana-2741	172	14	a	a	DET
cana-2741	172	15	straightforward	straightforward	ADJ
cana-2741	172	16	solution	solution	NOUN
cana-2741	172	17	,	,	PUNCT
cana-2741	172	18	and	and	CCONJ
cana-2741	172	19	produces	produce	VERB
cana-2741	172	20	precise	precise	ADJ
cana-2741	172	21	results	result	NOUN
cana-2741	172	22	.	.	PUNCT
cana-2741	173	1	this	this	DET
cana-2741	173	2	technique	technique	NOUN
cana-2741	173	3	can	can	AUX
cana-2741	173	4	solve	solve	VERB
cana-2741	173	5	other	other	ADJ
cana-2741	173	6	boundary	boundary	ADJ
cana-2741	173	7	value	value	NOUN
cana-2741	173	8	issues	issue	NOUN
cana-2741	173	9	in	in	ADP
cana-2741	173	10	the	the	DET
cana-2741	173	11	physical	physical	ADJ
cana-2741	173	12	and	and	CCONJ
cana-2741	173	13	chemical	chemical	NOUN
cana-2741	173	14	sciences	science	NOUN
cana-2741	173	15	without	without	ADP
cana-2741	173	16	difficulty	difficulty	NOUN
cana-2741	173	17	.	.	PUNCT
cana-2741	174	1	nomenclature	nomenclature	ADJ
cana-2741	174	2	𝔇𝒮1	𝔇𝒮1	PROPN
cana-2741	174	3	diffusion	diffusion	NOUN
cana-2741	174	4	coefficient	coefficient	NOUN
cana-2741	174	5	of	of	ADP
cana-2741	174	6	species	species	NOUN
cana-2741	174	7	s1	s1	PROPN
cana-2741	174	8	𝜇𝑚2/𝑠	𝜇𝑚2/𝑠	PROPN
cana-2741	174	9	𝜒𝒮1	𝜒𝒮1	PROPN
cana-2741	174	10	dimensionless	dimensionless	NOUN
cana-2741	174	11	diffusion	diffusion	NOUN
cana-2741	174	12	parameter	parameter	NOUN
cana-2741	174	13	for	for	ADP
cana-2741	174	14	s1	s1	PROPN
cana-2741	174	15	𝔇𝒮2	𝔇𝒮2	PROPN
cana-2741	174	16	diffusion	diffusion	NOUN
cana-2741	174	17	coefficient	coefficient	NOUN
cana-2741	174	18	of	of	ADP
cana-2741	174	19	species	specie	NOUN
cana-2741	174	20	s2	s2	NOUN
cana-2741	174	21	𝜇𝑚2/𝑠	𝜇𝑚2/𝑠	PROPN
cana-2741	174	22	𝜒𝒮2	𝜒𝒮2	PROPN
cana-2741	174	23	dimensionless	dimensionless	NOUN
cana-2741	174	24	diffusion	diffusion	NOUN
cana-2741	174	25	parameter	parameter	NOUN
cana-2741	174	26	for	for	ADP
cana-2741	174	27	s2	s2	NOUN
cana-2741	174	28	𝔇ℳ	𝔇ℳ	PROPN
cana-2741	174	29	diffusion	diffusion	NOUN
cana-2741	174	30	coefficient	coefficient	NOUN
cana-2741	174	31	of	of	ADP
cana-2741	174	32	mediator	mediator	NOUN
cana-2741	174	33	𝜇𝑚2/𝑠	𝜇𝑚2/𝑠	PROPN
cana-2741	174	34	𝜒ℳ	𝜒ℳ	PROPN
cana-2741	174	35	dimensionless	dimensionless	NOUN
cana-2741	174	36	reaction	reaction	NOUN
cana-2741	174	37	parameter	parameter	NOUN
cana-2741	174	38	s1	s1	NOUN
cana-2741	174	39	concentration	concentration	NOUN
cana-2741	174	40	of	of	ADP
cana-2741	174	41	species	specie	NOUN
cana-2741	174	42	𝜇𝑚	𝜇𝑚	ADP
cana-2741	174	43	𝜁	𝜁	NOUN
cana-2741	174	44	dimensionless	dimensionless	NOUN
cana-2741	174	45	concentration	concentration	NOUN
cana-2741	174	46	species	specie	NOUN
cana-2741	174	47	s1	s1	NOUN
cana-2741	174	48	s2	s2	NOUN
cana-2741	174	49	concentration	concentration	NOUN
cana-2741	174	50	of	of	ADP
cana-2741	174	51	species	specie	NOUN
cana-2741	174	52	𝜇𝑚	𝜇𝑚	NOUN
cana-2741	174	53	𝜂	𝜂	NOUN
cana-2741	174	54	dimensionless	dimensionless	NOUN
cana-2741	174	55	concentration	concentration	NOUN
cana-2741	174	56	of	of	ADP
cana-2741	174	57	species	specie	NOUN
cana-2741	174	58	s2	s2	NOUN
cana-2741	174	59	𝑚	𝑚	ADP
cana-2741	174	60	concentration	concentration	NOUN
cana-2741	174	61	of	of	ADP
cana-2741	174	62	oxidized	oxidize	VERB
cana-2741	174	63	mediator	mediator	NOUN
cana-2741	174	64	𝜇𝑚	𝜇𝑚	NOUN
cana-2741	174	65	𝜃	𝜃	NOUN
cana-2741	174	66	dimensionless	dimensionless	NOUN
cana-2741	174	67	concentration	concentration	NOUN
cana-2741	174	68	of	of	ADP
cana-2741	174	69	mediator	mediator	NOUN
cana-2741	174	70	𝜌	𝜌	ADP
cana-2741	174	71	biomolecular	biomolecular	ADJ
cana-2741	174	72	rate	rate	NOUN
cana-2741	174	73	constants	constant	NOUN
cana-2741	174	74	𝑚𝑠	𝑚𝑠	ADP
cana-2741	174	75	𝑋	𝑋	PROPN
cana-2741	174	76	dimensionless	dimensionless	NOUN
cana-2741	174	77	distance	distance	NOUN
cana-2741	174	78	𝑢	𝑢	PART
cana-2741	174	79	distance	distance	NOUN
cana-2741	174	80	from	from	ADP
cana-2741	174	81	the	the	DET
cana-2741	174	82	electrode	electrode	NOUN
cana-2741	174	83	𝜇𝑚	𝜇𝑚	PROPN
cana-2741	174	84	t	t	PROPN
cana-2741	174	85	dimensionless	dimensionless	NOUN
cana-2741	174	86	time	time	NOUN
cana-2741	174	87	communications	communication	NOUN
cana-2741	174	88	on	on	ADP
cana-2741	174	89	applied	apply	VERB
cana-2741	174	90	nonlinear	nonlinear	ADJ
cana-2741	174	91	analysis	analysis	NOUN
cana-2741	174	92	issn	issn	NOUN
cana-2741	174	93	:	:	PUNCT
cana-2741	174	94	1074	1074	NUM
cana-2741	174	95	-	-	PUNCT
cana-2741	174	96	133x	133x	NUM
cana-2741	174	97	vol	vol	NOUN
cana-2741	174	98	32	32	NUM
cana-2741	174	99	no	no	NOUN
cana-2741	174	100	.	.	PUNCT
cana-2741	175	1	4s	4s	NUM
cana-2741	175	2	(	(	PUNCT
cana-2741	175	3	2025	2025	NUM
cana-2741	175	4	)	)	PUNCT
cana-2741	175	5	107	107	NUM
cana-2741	175	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2741	175	7	𝑚𝑇	𝑚𝑇	ADJ
cana-2741	175	8	total	total	ADJ
cana-2741	175	9	concentration	concentration	NOUN
cana-2741	175	10	of	of	ADP
cana-2741	175	11	mediator	mediator	NOUN
cana-2741	175	12	&	&	CCONJ
cana-2741	175	13	substrate	substrate	NOUN
cana-2741	175	14	𝑟	𝑟	NOUN
cana-2741	175	15	layer	layer	NOUN
cana-2741	175	16	thickness	thickness	NOUN
cana-2741	175	17	𝑠𝑇	𝑠𝑇	VERB
cana-2741	175	18	bulk	bulk	ADJ
cana-2741	175	19	concentration	concentration	NOUN
cana-2741	175	20	of	of	ADP
cana-2741	175	21	substrate	substrate	NOUN
cana-2741	175	22	𝜇𝑚	𝜇𝑚	NOUN
cana-2741	175	23	𝕂	𝕂	PROPN
cana-2741	175	24	partition	partition	NOUN
cana-2741	175	25	coefficient	coefficient	NOUN
cana-2741	175	26	𝒞𝔍	𝒞𝔍	VERB
cana-2741	175	27	net	net	ADJ
cana-2741	175	28	flux	flux	PROPN
cana-2741	175	29	δ	δ	PROPN
cana-2741	175	30	dimensionless	dimensionless	NOUN
cana-2741	175	31	normalized	normalize	VERB
cana-2741	175	32	current	current	ADJ
cana-2741	175	33	references	reference	NOUN
cana-2741	175	34	[	[	X
cana-2741	175	35	1	1	NUM
cana-2741	175	36	]	]	X
cana-2741	175	37	fleischmann	fleischmann	X
cana-2741	175	38	m.	m.	NOUN
cana-2741	175	39	,	,	PUNCT
cana-2741	175	40	pons	pon	NOUN
cana-2741	175	41	s.	s.	PROPN
cana-2741	175	42	,	,	PUNCT
cana-2741	175	43	rolison	rolison	PROPN
cana-2741	175	44	d.	d.	PROPN
cana-2741	175	45	and	and	CCONJ
cana-2741	175	46	schmit	schmit	PROPN
cana-2741	175	47	p.p.(1987	p.p.(1987	PROPN
cana-2741	175	48	)	)	PUNCT
cana-2741	175	49	.	.	PUNCT
cana-2741	176	1	ultra	ultra	ADJ
cana-2741	176	2	microelectrodes	microelectrode	NOUN
cana-2741	176	3	.	.	PUNCT
cana-2741	177	1	data	datum	NOUN
cana-2741	177	2	systems	system	NOUN
cana-2741	177	3	and	and	CCONJ
cana-2741	177	4	technology	technology	NOUN
cana-2741	177	5	(	(	PUNCT
cana-2741	177	6	ebook	ebook	NOUN
cana-2741	177	7	)	)	PUNCT
cana-2741	177	8	,	,	PUNCT
cana-2741	177	9	incorporated	incorporate	VERB
cana-2741	177	10	,	,	PUNCT
cana-2741	177	11	0168	0168	NUM
cana-2741	177	12	-	-	SYM
cana-2741	177	13	132x:1	132x:1	NUM
cana-2741	177	14	-	-	SYM
cana-2741	177	15	497	497	NUM
cana-2741	177	16	.	.	PUNCT
cana-2741	178	1	[	[	X
cana-2741	178	2	2	2	X
cana-2741	178	3	]	]	X
cana-2741	178	4	morf	morf	PROPN
cana-2741	178	5	w.e	w.e	PROPN
cana-2741	178	6	.	.	PROPN
cana-2741	178	7	(	(	PUNCT
cana-2741	178	8	1996	1996	NUM
cana-2741	178	9	)	)	PUNCT
cana-2741	178	10	.	.	PUNCT
cana-2741	179	1	theoretical	theoretical	ADJ
cana-2741	179	2	treatment	treatment	NOUN
cana-2741	179	3	of	of	ADP
cana-2741	179	4	the	the	DET
cana-2741	179	5	amperometric	amperometric	NOUN
cana-2741	179	6	current	current	ADJ
cana-2741	179	7	response	response	NOUN
cana-2741	179	8	of	of	ADP
cana-2741	179	9	multiple	multiple	ADJ
cana-2741	179	10	microelectrode	microelectrode	NOUN
cana-2741	179	11	arrays	array	VERB
cana-2741	179	12	,	,	PUNCT
cana-2741	179	13	analytical	analytical	ADJ
cana-2741	179	14	chemical	chemical	NOUN
cana-2741	179	15	acta	acta	PROPN
cana-2741	179	16	,	,	PUNCT
cana-2741	179	17	330(2):139	330(2):139	NUM
cana-2741	179	18	-	-	SYM
cana-2741	179	19	149	149	NUM
cana-2741	179	20	.	.	PUNCT
cana-2741	180	1	[	[	X
cana-2741	180	2	3	3	X
cana-2741	180	3	]	]	X
cana-2741	180	4	montenegro	montenegro	PROPN
cana-2741	180	5	m.i	m.i	PROPN
cana-2741	180	6	.	.	PROPN
cana-2741	180	7	,	,	PUNCT
cana-2741	180	8	queiros	queiros	PROPN
cana-2741	180	9	m.	m.	NOUN
cana-2741	180	10	a.	a.	PROPN
cana-2741	180	11	and	and	CCONJ
cana-2741	180	12	daschbach	daschbach	PROPN
cana-2741	180	13	j.	j.	PROPN
cana-2741	180	14	l.(1991	l.(1991	PROPN
cana-2741	180	15	)	)	PUNCT
cana-2741	180	16	microelectrodes	microelectrode	NOUN
cana-2741	180	17	:	:	PUNCT
cana-2741	180	18	theory	theory	NOUN
cana-2741	180	19	and	and	CCONJ
cana-2741	180	20	applications	application	NOUN
cana-2741	180	21	,	,	PUNCT
cana-2741	180	22	kluwer	kluwer	NOUN
cana-2741	180	23	,	,	PUNCT
cana-2741	180	24	dordrecht	dordrecht	PROPN
cana-2741	180	25	,	,	PUNCT
cana-2741	180	26	the	the	DET
cana-2741	180	27	netherlands	netherlands	PROPN
cana-2741	180	28	,	,	PUNCT
cana-2741	180	29	nato	nato	PROPN
cana-2741	180	30	science	science	NOUN
cana-2741	180	31	series	series	NOUN
cana-2741	180	32	.	.	PUNCT
cana-2741	181	1	[	[	X
cana-2741	181	2	4	4	X
cana-2741	181	3	]	]	PUNCT
cana-2741	181	4	wightman	wightman	PROPN
cana-2741	181	5	r.	r.	PROPN
cana-2741	181	6	m.(1981	m.(1981	PROPN
cana-2741	181	7	)	)	PUNCT
cana-2741	181	8	.	.	PUNCT
cana-2741	182	1	micro	micro	PROPN
cana-2741	182	2	voltammetric	voltammetric	ADJ
cana-2741	182	3	electrodes	electrode	NOUN
cana-2741	182	4	,	,	PUNCT
cana-2741	182	5	journal	journal	NOUN
cana-2741	182	6	of	of	ADP
cana-2741	182	7	analytical	analytical	ADJ
cana-2741	182	8	chemistry	chemistry	NOUN
cana-2741	182	9	,	,	PUNCT
cana-2741	182	10	53	53	NUM
cana-2741	182	11	:	:	SYM
cana-2741	182	12	1125a-1134a	1125a-1134a	NUM
cana-2741	182	13	[	[	X
cana-2741	182	14	5	5	NUM
cana-2741	182	15	]	]	PUNCT
cana-2741	182	16	mirkin	mirkin	X
cana-2741	182	17	m.v	m.v	PROPN
cana-2741	182	18	.	.	PROPN
cana-2741	182	19	,	,	PUNCT
cana-2741	182	20	fan	fan	PROPN
cana-2741	182	21	f.	f.	PROPN
cana-2741	182	22	r.	r.	PROPN
cana-2741	182	23	f.	f.	PROPN
cana-2741	182	24	and	and	CCONJ
cana-2741	182	25	bard	bard	ADJ
cana-2741	182	26	a.	a.	PROPN
cana-2741	182	27	j.	j.	PROPN
cana-2741	182	28	(	(	PUNCT
cana-2741	182	29	1992	1992	NUM
cana-2741	182	30	)	)	PUNCT
cana-2741	182	31	.	.	PUNCT
cana-2741	183	1	scanning	scan	VERB
cana-2741	183	2	electro	electro	ADJ
cana-2741	183	3	chemical	chemical	ADJ
cana-2741	183	4	microscopy	microscopy	NOUN
cana-2741	183	5	part	part	NOUN
cana-2741	183	6	evaluation	evaluation	NOUN
cana-2741	183	7	of	of	ADP
cana-2741	183	8	the	the	DET
cana-2741	183	9	tip	tip	NOUN
cana-2741	183	10	shapes	shape	NOUN
cana-2741	183	11	of	of	ADP
cana-2741	183	12	nanometer	nanometer	NOUN
cana-2741	183	13	size	size	NOUN
cana-2741	183	14	microelectrodes	microelectrode	NOUN
cana-2741	183	15	,	,	PUNCT
cana-2741	183	16	journal	journal	NOUN
cana-2741	183	17	of	of	ADP
cana-2741	183	18	electroanalytical	electroanalytical	ADJ
cana-2741	183	19	chemistry	chemistry	NOUN
cana-2741	183	20	,	,	PUNCT
cana-2741	183	21	328(2):47	328(2):47	PROPN
cana-2741	183	22	-	-	PUNCT
cana-2741	183	23	662	662	NUM
cana-2741	183	24	.	.	PUNCT
cana-2741	184	1	[	[	X
cana-2741	184	2	6	6	NUM
cana-2741	184	3	]	]	X
cana-2741	184	4	liu	liu	PROPN
cana-2741	184	5	b.	b.	PROPN
cana-2741	184	6	,	,	PUNCT
cana-2741	184	7	rotenberg	rotenberg	PROPN
cana-2741	184	8	s.	s.	PROPN
cana-2741	184	9	a.	a.	PROPN
cana-2741	184	10	and	and	CCONJ
cana-2741	184	11	mirkin	mirkin	ADJ
cana-2741	184	12	m.	m.	NOUN
cana-2741	184	13	v.	v.	PROPN
cana-2741	184	14	(	(	PUNCT
cana-2741	184	15	2000	2000	NUM
cana-2741	184	16	)	)	PUNCT
cana-2741	184	17	.	.	PUNCT
cana-2741	185	1	scanning	scan	VERB
cana-2741	185	2	electrochemical	electrochemical	ADJ
cana-2741	185	3	microscopy	microscopy	NOUN
cana-2741	185	4	of	of	ADP
cana-2741	185	5	living	living	NOUN
cana-2741	185	6	cells	cell	NOUN
cana-2741	185	7	:	:	PUNCT
cana-2741	185	8	different	different	ADJ
cana-2741	185	9	redox	redox	ADJ
cana-2741	185	10	activities	activity	NOUN
cana-2741	185	11	of	of	ADP
cana-2741	185	12	nonmetastatic	nonmetastatic	ADJ
cana-2741	185	13	and	and	CCONJ
cana-2741	185	14	metastatic	metastatic	ADJ
cana-2741	185	15	human	human	ADJ
cana-2741	185	16	breast	breast	NOUN
cana-2741	185	17	cells	cell	NOUN
cana-2741	185	18	,	,	PUNCT
cana-2741	185	19	proceedings	proceeding	NOUN
cana-2741	185	20	on	on	ADP
cana-2741	185	21	national	national	ADJ
cana-2741	185	22	academical	academical	ADJ
cana-2741	185	23	science	science	NOUN
cana-2741	185	24	,	,	PUNCT
cana-2741	185	25	97(18):9855	97(18):9855	NUM
cana-2741	185	26	-	-	SYM
cana-2741	185	27	9860	9860	NUM
cana-2741	185	28	.	.	PUNCT
cana-2741	186	1	[	[	X
cana-2741	186	2	7	7	NUM
cana-2741	186	3	]	]	X
cana-2741	186	4	fleischmann	fleischmann	X
cana-2741	186	5	m.	m.	NOUN
cana-2741	186	6	,	,	PUNCT
cana-2741	186	7	pons	pon	NOUN
cana-2741	186	8	s.	s.	PROPN
cana-2741	186	9	,	,	PUNCT
cana-2741	186	10	ghoroghchian	ghoroghchian	PROPN
cana-2741	186	11	j.	j.	PROPN
cana-2741	186	12	,(1985	,(1985	PROPN
cana-2741	186	13	)	)	PUNCT
cana-2741	186	14	.	.	PUNCT
cana-2741	187	1	electrochemical	electrochemical	ADJ
cana-2741	187	2	behavior	behavior	NOUN
cana-2741	187	3	of	of	ADP
cana-2741	187	4	dispersions	dispersion	NOUN
cana-2741	187	5	of	of	ADP
cana-2741	187	6	spherical	spherical	ADJ
cana-2741	187	7	ultramicroelectrodes	ultramicroelectrode	NOUN
cana-2741	187	8	,	,	PUNCT
cana-2741	187	9	journal	journal	NOUN
cana-2741	187	10	of	of	ADP
cana-2741	187	11	physical	physical	PROPN
cana-2741	187	12	chemistry,89	chemistry,89	NOUN
cana-2741	187	13	;	;	PUNCT
cana-2741	187	14	5520	5520	NUM
cana-2741	187	15	-	-	SYM
cana-2741	187	16	5536	5536	NUM
cana-2741	187	17	.	.	PUNCT
cana-2741	188	1	[	[	X
cana-2741	188	2	8	8	NUM
cana-2741	188	3	]	]	X
cana-2741	188	4	rebouillat	rebouillat	PROPN
cana-2741	188	5	s.	s.	PROPN
cana-2741	188	6	,	,	PUNCT
cana-2741	188	7	lyons	lyons	PROPN
cana-2741	188	8	m.	m.	PROPN
cana-2741	188	9	e.	e.	PROPN
cana-2741	188	10	g.	g.	PROPN
cana-2741	188	11	,	,	PUNCT
cana-2741	188	12	flynn	flynn	PROPN
cana-2741	188	13	a.	a.	PROPN
cana-2741	188	14	(	(	PUNCT
cana-2741	188	15	1999	1999	NUM
cana-2741	188	16	)	)	PUNCT
cana-2741	188	17	.heterogeneous	.heterogeneou	VERB
cana-2741	188	18	redox	redox	ADJ
cana-2741	188	19	catalysis	catalysis	NOUN
cana-2741	188	20	at	at	ADP
cana-2741	188	21	conduction	conduction	NOUN
cana-2741	188	22	polymer	polymer	NOUN
cana-2741	188	23	ultramicroelectrodes	ultramicroelectrode	NOUN
cana-2741	188	24	,	,	PUNCT
cana-2741	188	25	analyst	analyst	NOUN
cana-2741	188	26	,	,	PUNCT
cana-2741	188	27	124:1635	124:1635	PROPN
cana-2741	188	28	-	-	SYM
cana-2741	188	29	1644	1644	NUM
cana-2741	188	30	.	.	PUNCT
cana-2741	189	1	[	[	X
cana-2741	189	2	9	9	NUM
cana-2741	189	3	]	]	SYM
cana-2741	189	4	albery	albery	PROPN
cana-2741	189	5	w.	w.	PROPN
cana-2741	189	6	j.	j.	PROPN
cana-2741	189	7	and	and	CCONJ
cana-2741	189	8	hillman	hillman	PROPN
cana-2741	189	9	a.	a.	PROPN
cana-2741	189	10	r.(1984	r.(1984	PROPN
cana-2741	189	11	)	)	PUNCT
cana-2741	189	12	transport	transport	NOUN
cana-2741	189	13	and	and	CCONJ
cana-2741	189	14	kinetics	kinetic	NOUN
cana-2741	189	15	in	in	ADP
cana-2741	189	16	modified	modified	ADJ
cana-2741	189	17	electrodes	electrode	NOUN
cana-2741	189	18	,	,	PUNCT
cana-2741	189	19	journal	journal	NOUN
cana-2741	189	20	of	of	ADP
cana-2741	189	21	electroanalytical	electroanalytical	ADJ
cana-2741	189	22	chemistry	chemistry	NOUN
cana-2741	189	23	,	,	PUNCT
cana-2741	189	24	170	170	NUM
cana-2741	189	25	:	:	SYM
cana-2741	189	26	27	27	NUM
cana-2741	189	27	-	-	SYM
cana-2741	189	28	49	49	NUM
cana-2741	189	29	.	.	PUNCT
cana-2741	190	1	[	[	X
cana-2741	190	2	10	10	NUM
cana-2741	190	3	]	]	X
cana-2741	190	4	anitha	anitha	PROPN
cana-2741	190	5	s.	s.	PROPN
cana-2741	190	6	,	,	PUNCT
cana-2741	190	7	subbiah	subbiah	PROPN
cana-2741	190	8	a.	a.	NOUN
cana-2741	190	9	and	and	CCONJ
cana-2741	190	10	rajendarn	rajendarn	PROPN
cana-2741	190	11	l.(2010	l.(2010	PROPN
cana-2741	190	12	)	)	PUNCT
cana-2741	190	13	.	.	PUNCT
cana-2741	191	1	solutions	solution	NOUN
cana-2741	191	2	of	of	ADP
cana-2741	191	3	the	the	DET
cana-2741	191	4	coupled	couple	VERB
cana-2741	191	5	reaction	reaction	NOUN
cana-2741	191	6	and	and	CCONJ
cana-2741	191	7	diffusion	diffusion	NOUN
cana-2741	191	8	equations	equation	NOUN
cana-2741	191	9	within	within	ADP
cana-2741	191	10	polymer	polymer	NOUN
cana-2741	191	11	-	-	PUNCT
cana-2741	191	12	modifies	modifie	NOUN
cana-2741	191	13	ultramicroelectrodes	ultramicroelectrode	NOUN
cana-2741	191	14	,	,	PUNCT
cana-2741	191	15	journ	journ	VERB
cana-2741	191	16	a	a	DET
cana-2741	191	17	l	l	NOUN
cana-2741	191	18	o	o	X
cana-2741	191	19	f	f	X
cana-2741	191	20	ph	ph	PROPN
cana-2741	191	21	y	y	PROPN
cana-2741	191	22	sica	sica	PROPN
cana-2741	191	23	l	l	PROPN
cana-2741	191	24	ch	ch	PROPN
cana-2741	191	25	emis	emis	PROPN
cana-2741	191	26	t	t	PROPN
cana-2741	191	27	ry	ry	NOUN
cana-2741	191	28	,	,	PUNCT
cana-2741	191	29	114:7030	114:7030	NUM
cana-2741	191	30	-	-	SYM
cana-2741	191	31	7037	7037	NUM
cana-2741	191	32	.	.	PUNCT
cana-2741	192	1	[	[	X
cana-2741	192	2	11	11	NUM
cana-2741	192	3	]	]	PUNCT
cana-2741	192	4	sentamarai	sentamarai	PROPN
cana-2741	192	5	r.	r.	PROPN
cana-2741	192	6	and	and	CCONJ
cana-2741	192	7	rajendran	rajendran	PROPN
cana-2741	192	8	l.(2010	l.(2010	PROPN
cana-2741	192	9	)	)	PUNCT
cana-2741	192	10	system	system	NOUN
cana-2741	192	11	of	of	ADP
cana-2741	192	12	coupled	couple	VERB
cana-2741	192	13	non	non	ADJ
cana-2741	192	14	-	-	ADJ
cana-2741	192	15	linear	linear	ADJ
cana-2741	192	16	reaction	reaction	NOUN
cana-2741	192	17	diffusion	diffusion	NOUN
cana-2741	192	18	processes	process	NOUN
cana-2741	192	19	at	at	ADP
cana-2741	192	20	conducting	conduct	VERB
cana-2741	192	21	polymer	polymer	NOUN
cana-2741	192	22	modified	modify	VERB
cana-2741	192	23	ultramicroelectrodes	ultramicroelectrode	NOUN
cana-2741	192	24	,	,	PUNCT
cana-2741	192	25	e	e	X
cana-2741	192	26	l	l	NOUN
cana-2741	192	27	e	e	X
cana-2741	192	28	c	c	NOUN
cana-2741	192	29	t	t	NOUN
cana-2741	192	30	r	r	NOUN
cana-2741	192	31	o	o	X
cana-2741	192	32	c	c	NOUN
cana-2741	192	33	h	h	NOUN
cana-2741	192	34	e	e	NOUN
cana-2741	192	35	m	m	VERB
cana-2741	192	36	i	i	PRON
cana-2741	192	37	c	c	VERB
cana-2741	192	38	a	a	DET
cana-2741	192	39	a	a	DET
cana-2741	192	40	c	c	NOUN
cana-2741	192	41	t	t	NOUN
cana-2741	192	42	a	a	PRON
cana-2741	192	43	,	,	PUNCT
cana-2741	192	44	55:3223	55:3223	NUM
cana-2741	192	45	-	-	SYM
cana-2741	192	46	3235	3235	NUM
cana-2741	192	47	.	.	PUNCT
cana-2741	193	1	[	[	X
cana-2741	193	2	12	12	NUM
cana-2741	193	3	]	]	X
cana-2741	193	4	yogeshwari	yogeshwari	PROPN
cana-2741	193	5	g.	g.	PROPN
cana-2741	193	6	,	,	PUNCT
cana-2741	193	7	paulraj	paulraj	PROPN
cana-2741	193	8	jayasimman	jayasimman	PROPN
cana-2741	193	9	i.	i.	PROPN
cana-2741	193	10	and	and	CCONJ
cana-2741	193	11	lynons	lynons	PROPN
cana-2741	193	12	m.	m.	PROPN
cana-2741	193	13	e.	e.	PROPN
cana-2741	193	14	g.	g.	PROPN
cana-2741	193	15	(	(	PUNCT
cana-2741	193	16	2012	2012	NUM
cana-2741	193	17	)	)	PUNCT
cana-2741	193	18	.	.	PUNCT
cana-2741	194	1	approximate	approximate	ADJ
cana-2741	194	2	analytical	analytical	ADJ
cana-2741	194	3	solutions	solution	NOUN
cana-2741	194	4	for	for	ADP
cana-2741	194	5	nonlinear	nonlinear	ADJ
cana-2741	194	6	reaction	reaction	NOUN
cana-2741	194	7	diffusion	diffusion	NOUN
cana-2741	194	8	equations	equation	NOUN
cana-2741	194	9	at	at	ADP
cana-2741	194	10	conducting	conduct	VERB
cana-2741	194	11	polymer	polymer	NOUN
cana-2741	194	12	modified	modify	VERB
cana-2741	194	13	ultramicroelectrodes	ultramicroelectrode	NOUN
cana-2741	194	14	via	via	ADP
cana-2741	194	15	taylor	taylor	PROPN
cana-2741	194	16	series	series	PROPN
cana-2741	194	17	method	method	PROPN
cana-2741	194	18	,	,	PUNCT
cana-2741	194	19	isrn	isrn	PROPN
cana-2741	194	20	journal	journal	PROPN
cana-2741	194	21	of	of	ADP
cana-2741	194	22	physical	physical	ADJ
cana-2741	194	23	chemistry	chemistry	NOUN
cana-2741	194	24	,	,	PUNCT
cana-2741	194	25	(	(	PUNCT
cana-2741	194	26	12):745616745628	12):745616745628	NUM
cana-2741	194	27	.	.	PUNCT
cana-2741	195	1	[	[	X
cana-2741	195	2	13	13	NUM
cana-2741	195	3	]	]	PUNCT
cana-2741	195	4	andrieux	andrieux	PROPN
cana-2741	195	5	c.	c.	PROPN
cana-2741	195	6	p.	p.	PROPN
cana-2741	195	7	,	,	PUNCT
cana-2741	195	8	dumas	dumas	PROPN
cana-2741	195	9	bouchiat	bouchiat	PROPN
cana-2741	195	10	j.	j.	PROPN
cana-2741	195	11	m.	m.	PROPN
cana-2741	195	12	and	and	CCONJ
cana-2741	195	13	seveant	seveant	PROPN
cana-2741	195	14	j.	j.	PROPN
cana-2741	195	15	m.	m.	PROPN
cana-2741	195	16	(	(	PUNCT
cana-2741	195	17	1984)kinetics	1984)kinetics	NUM
cana-2741	195	18	of	of	ADP
cana-2741	195	19	electrochemical	electrochemical	ADJ
cana-2741	195	20	by	by	ADP
cana-2741	195	21	redox	redox	ADJ
cana-2741	195	22	polymer	polymer	NOUN
cana-2741	195	23	films	film	NOUN
cana-2741	195	24	:	:	PUNCT
cana-2741	195	25	new	new	ADJ
cana-2741	195	26	formulation	formulation	NOUN
cana-2741	195	27	and	and	CCONJ
cana-2741	195	28	strategies	strategy	NOUN
cana-2741	195	29	for	for	ADP
cana-2741	195	30	analysis	analysis	NOUN
cana-2741	195	31	and	and	CCONJ
cana-2741	195	32	optimization	optimization	NOUN
cana-2741	195	33	,	,	PUNCT
cana-2741	195	34	journal	journal	NOUN
cana-2741	195	35	of	of	ADP
cana-2741	195	36	electroanalytical	electroanalytical	ADJ
cana-2741	195	37	chemistry	chemistry	NOUN
cana-2741	195	38	,	,	PUNCT
cana-2741	195	39	169	169	NUM
cana-2741	195	40	:	:	SYM
cana-2741	195	41	9	9	NUM
cana-2741	195	42	[	[	SYM
cana-2741	195	43	14	14	NUM
cana-2741	195	44	]	]	X
cana-2741	195	45	swaminathan	swaminathan	PROPN
cana-2741	195	46	r.	r.	PROPN
cana-2741	195	47	,	,	PUNCT
cana-2741	195	48	saravanakumar	saravanakumar	PROPN
cana-2741	195	49	r.	r.	PROPN
cana-2741	195	50	,	,	PUNCT
cana-2741	195	51	venugopal	venugopal	PROPN
cana-2741	195	52	k.	k.	PROPN
cana-2741	195	53	,	,	PUNCT
cana-2741	195	54	rajendarn	rajendarn	PROPN
cana-2741	195	55	.	.	PUNCT
cana-2741	196	1	(	(	PUNCT
cana-2741	196	2	2001	2001	NUM
cana-2741	196	3	)	)	PUNCT
cana-2741	196	4	analytical	analytical	ADJ
cana-2741	196	5	solution	solution	NOUN
cana-2741	196	6	of	of	ADP
cana-2741	196	7	nonlinear	nonlinear	ADJ
cana-2741	196	8	problems	problem	NOUN
cana-2741	196	9	in	in	ADP
cana-2741	196	10	homogeneous	homogeneous	ADJ
cana-2741	196	11	reactions	reaction	NOUN
cana-2741	196	12	occur	occur	VERB
cana-2741	196	13	in	in	ADP
cana-2741	196	14	the	the	DET
cana-2741	196	15	mass	mass	NOUN
cana-2741	196	16	transfer	transfer	NOUN
cana-2741	196	17	boundary	boundary	ADJ
cana-2741	196	18	layer	layer	NOUN
cana-2741	196	19	:	:	PUNCT
cana-2741	196	20	homotopy	homotopy	VERB
cana-2741	196	21	perturbation	perturbation	NOUN
cana-2741	196	22	method	method	NOUN
cana-2741	196	23	,	,	PUNCT
cana-2741	196	24	international	international	ADJ
cana-2741	196	25	journal	journal	NOUN
cana-2741	196	26	of	of	ADP
cana-2741	196	27	electrochemical	electrochemical	ADJ
cana-2741	196	28	science	science	NOUN
cana-2741	196	29	,	,	PUNCT
cana-2741	196	30	16:210644	16:210644	NUM
cana-2741	196	31	.	.	PUNCT
cana-2741	197	1	[	[	X
cana-2741	197	2	15	15	NUM
cana-2741	197	3	]	]	X
cana-2741	197	4	swaminathan	swaminathan	PROPN
cana-2741	197	5	r.	r.	PROPN
cana-2741	197	6	,	,	PUNCT
cana-2741	197	7	lakshmi	lakshmi	PROPN
cana-2741	197	8	narayanan	narayanan	PROPN
cana-2741	197	9	k.	k.	PROPN
cana-2741	197	10	,	,	PUNCT
cana-2741	197	11	mohan	mohan	PROPN
cana-2741	197	12	v.	v.	PROPN
cana-2741	197	13	,	,	PUNCT
cana-2741	197	14	saranya	saranya	PROPN
cana-2741	197	15	k.	k.	PROPN
cana-2741	197	16	,	,	PUNCT
cana-2741	197	17	rajendran	rajendran	PROPN
cana-2741	197	18	l.	l.	PROPN
cana-2741	197	19	(	(	PUNCT
cana-2741	197	20	2	2	NUM
cana-2741	197	21	0	0	NUM
cana-2741	197	22	1	1	NUM
cana-2741	197	23	9	9	NUM
cana-2741	197	24	)	)	PUNCT
cana-2741	197	25	reaction	reaction	NOUN
cana-2741	197	26	diffusion	diffusion	NOUN
cana-2741	197	27	equation	equation	NOUN
cana-2741	197	28	with	with	ADP
cana-2741	197	29	michaels	michaels	PROPN
cana-2741	197	30	’s	’s	PART
cana-2741	197	31	menten	menten	VERB
cana-2741	197	32	kinetics	kinetic	NOUN
cana-2741	197	33	in	in	ADP
cana-2741	197	34	micro	micro	ADJ
cana-2741	197	35	disk	disk	NOUN
cana-2741	197	36	biosensor	biosensor	NOUN
cana-2741	197	37	:	:	PUNCT
cana-2741	197	38	homotopy	homotopy	VERB
cana-2741	197	39	perturbation	perturbation	NOUN
cana-2741	197	40	method	method	NOUN
cana-2741	197	41	,	,	PUNCT
cana-2741	197	42	international	international	ADJ
cana-2741	197	43	journal	journal	NOUN
cana-2741	197	44	of	of	ADP
cana-2741	197	45	electrochemical	electrochemical	ADJ
cana-2741	197	46	science	science	NOUN
cana-2741	197	47	,	,	PUNCT
cana-2741	197	48	14(2019	14(2019	NUM
cana-2741	197	49	):	):	PUNCT
cana-2741	197	50	3777	3777	NUM
cana-2741	197	51	-	-	SYM
cana-2741	197	52	3791	3791	NUM
cana-2741	197	53	.	.	PUNCT
cana-2741	198	1	[	[	X
cana-2741	198	2	16	16	NUM
cana-2741	198	3	]	]	X
cana-2741	198	4	swaminathan	swaminathan	PROPN
cana-2741	198	5	r.	r.	PROPN
cana-2741	198	6	,	,	PUNCT
cana-2741	198	7	venugopal	venugopal	PROPN
cana-2741	198	8	k.	k.	PROPN
cana-2741	198	9	,	,	PUNCT
cana-2741	198	10	rasi	rasi	NOUN
cana-2741	198	11	m.	m.	NOUN
cana-2741	198	12	,	,	PUNCT
cana-2741	198	13	abukhaled	abukhale	VERB
cana-2741	198	14	m.	m.	NOUN
cana-2741	198	15	and	and	CCONJ
cana-2741	198	16	rajendran	rajendran	PROPN
cana-2741	198	17	l.	l.	PROPN
cana-2741	198	18	(	(	PUNCT
cana-2741	198	19	2020	2020	NUM
cana-2741	198	20	)	)	PUNCT
cana-2741	198	21	analytical	analytical	ADJ
cana-2741	198	22	expressions	expression	NOUN
cana-2741	198	23	for	for	ADP
cana-2741	198	24	the	the	DET
cana-2741	198	25	concentration	concentration	NOUN
cana-2741	198	26	and	and	CCONJ
cana-2741	198	27	current	current	ADJ
cana-2741	198	28	in	in	ADP
cana-2741	198	29	the	the	DET
cana-2741	198	30	reduction	reduction	NOUN
cana-2741	198	31	of	of	ADP
cana-2741	198	32	hydrogen	hydrogen	NOUN
cana-2741	198	33	peroxide	peroxide	NOUN
cana-2741	198	34	at	at	ADP
cana-2741	198	35	a	a	DET
cana-2741	198	36	metal	metal	NOUN
cana-2741	198	37	-	-	PUNCT
cana-2741	198	38	dispersed	disperse	VERB
cana-2741	198	39	conducting	conduct	VERB
cana-2741	198	40	polymer	polymer	NOUN
cana-2741	198	41	film	film	NOUN
cana-2741	198	42	,	,	PUNCT
cana-2741	198	43	quim.nova	quim.nova	X
cana-2741	198	44	,	,	PUNCT
cana-2741	198	45	43:58	43:58	NUM
cana-2741	198	46	-	-	SYM
cana-2741	198	47	65	65	NUM
cana-2741	198	48	.	.	PUNCT
cana-2741	199	1	[	[	X
cana-2741	199	2	17	17	NUM
cana-2741	199	3	]	]	X
cana-2741	199	4	logambal	logambal	PROPN
cana-2741	199	5	s.	s.	PROPN
cana-2741	199	6	,	,	PUNCT
cana-2741	199	7	rajendran	rajendran	PROPN
cana-2741	199	8	l.	l.	PROPN
cana-2741	199	9	(	(	PUNCT
cana-2741	199	10	2010	2010	NUM
cana-2741	199	11	)	)	PUNCT
cana-2741	199	12	mathematical	mathematical	ADJ
cana-2741	199	13	modelling	modelling	NOUN
cana-2741	199	14	of	of	ADP
cana-2741	199	15	diffusion	diffusion	NOUN
cana-2741	199	16	and	and	CCONJ
cana-2741	199	17	kinetics	kinetic	NOUN
cana-2741	199	18	in	in	ADP
cana-2741	199	19	amperometric	amperometric	NOUN
cana-2741	199	20	immobilized	immobilize	VERB
cana-2741	199	21	enzyme	enzyme	NOUN
cana-2741	199	22	electrodes	electrode	NOUN
cana-2741	199	23	,	,	PUNCT
cana-2741	199	24	electrochemica	electrochemica	PROPN
cana-2741	199	25	acta	acta	PROPN
cana-2741	199	26	,	,	PUNCT
cana-2741	199	27	18	18	NUM
cana-2741	199	28	:	:	SYM
cana-2741	199	29	5230	5230	NUM
cana-2741	199	30	-	-	SYM
cana-2741	199	31	5238	5238	NUM
cana-2741	199	32	.	.	PUNCT
cana-2741	200	1	[	[	X
cana-2741	200	2	18	18	NUM
cana-2741	200	3	]	]	X
cana-2741	200	4	usha	usha	PROPN
cana-2741	200	5	rani	rani	PROPN
cana-2741	200	6	r.	r.	PROPN
cana-2741	200	7	and	and	CCONJ
cana-2741	200	8	rajendran	rajendran	PROPN
cana-2741	200	9	l.	l.	PROPN
cana-2741	200	10	(	(	PUNCT
cana-2741	200	11	2020	2020	NUM
cana-2741	200	12	)	)	PUNCT
cana-2741	200	13	taylor	taylor	PROPN
cana-2741	200	14	series	series	PROPN
cana-2741	200	15	method	method	NOUN
cana-2741	200	16	for	for	ADP
cana-2741	200	17	solving	solve	VERB
cana-2741	200	18	the	the	DET
cana-2741	200	19	nonlinear	nonlinear	ADJ
cana-2741	200	20	reaction	reaction	NOUN
cana-2741	200	21	diffusion	diffusion	NOUN
cana-2741	200	22	equation	equation	NOUN
cana-2741	200	23	in	in	ADP
cana-2741	200	24	the	the	DET
cana-2741	200	25	electroactive	electroactive	ADJ
cana-2741	200	26	polymer	polymer	NOUN
cana-2741	200	27	film	film	NOUN
cana-2741	200	28	,	,	PUNCT
cana-2741	200	29	chemical	chemical	NOUN
cana-2741	200	30	physics	physics	NOUN
cana-2741	200	31	letter,784:137573	letter,784:137573	PROPN
cana-2741	200	32	.	.	PUNCT
cana-2741	201	1	[	[	X
cana-2741	201	2	19	19	NUM
cana-2741	201	3	]	]	X
cana-2741	201	4	usha	usha	PROPN
cana-2741	201	5	rani	rani	PROPN
cana-2741	201	6	r.	r.	PROPN
cana-2741	201	7	,	,	PUNCT
cana-2741	201	8	rajendran	rajendran	PROPN
cana-2741	201	9	l.	l.	PROPN
cana-2741	201	10	and	and	CCONJ
cana-2741	201	11	lyons	lyons	PROPN
cana-2741	201	12	m.	m.	PROPN
cana-2741	201	13	e.	e.	PROPN
cana-2741	201	14	g.	g.	PROPN
cana-2741	201	15	(	(	PUNCT
cana-2741	201	16	2021	2021	NUM
cana-2741	201	17	)	)	PUNCT
cana-2741	201	18	steady	steady	ADJ
cana-2741	201	19	state	state	NOUN
cana-2741	201	20	current	current	NOUN
cana-2741	201	21	in	in	ADP
cana-2741	201	22	product	product	NOUN
cana-2741	201	23	inhibition	inhibition	NOUN
cana-2741	201	24	kinetics	kinetic	NOUN
cana-2741	201	25	in	in	ADP
cana-2741	201	26	an	an	DET
cana-2741	201	27	amperometric	amperometric	NOUN
cana-2741	201	28	biosensor	biosensor	NOUN
cana-2741	201	29	:	:	PUNCT
cana-2741	201	30	adomain	adomain	NOUN
cana-2741	201	31	decomposition	decomposition	NOUN
cana-2741	201	32	method	method	NOUN
cana-2741	201	33	and	and	CCONJ
cana-2741	201	34	taylor	taylor	PROPN
cana-2741	201	35	series	series	PROPN
cana-2741	201	36	method	method	PROPN
cana-2741	201	37	,	,	PUNCT
cana-2741	201	38	journal	journal	NOUN
cana-2741	201	39	of	of	ADP
cana-2741	201	40	electroanalytical	electroanalytical	ADJ
cana-2741	201	41	communications	communication	NOUN
cana-2741	201	42	on	on	ADP
cana-2741	201	43	applied	apply	VERB
cana-2741	201	44	nonlinear	nonlinear	ADJ
cana-2741	201	45	analysis	analysis	NOUN
cana-2741	201	46	issn	issn	NOUN
cana-2741	201	47	:	:	PUNCT
cana-2741	201	48	1074	1074	NUM
cana-2741	201	49	-	-	PUNCT
cana-2741	201	50	133x	133x	NUM
cana-2741	201	51	vol	vol	NOUN
cana-2741	201	52	32	32	NUM
cana-2741	201	53	no	no	NOUN
cana-2741	201	54	.	.	PUNCT
cana-2741	202	1	4s	4s	NUM
cana-2741	202	2	(	(	PUNCT
cana-2741	202	3	2025	2025	NUM
cana-2741	202	4	)	)	PUNCT
cana-2741	202	5	108	108	NUM
cana-2741	202	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2741	202	7	chemistry	chemistry	NOUN
cana-2741	202	8	,	,	PUNCT
cana-2741	202	9	886:115103	886:115103	NUM
cana-2741	202	10	.	.	PUNCT
cana-2741	203	1	[	[	X
cana-2741	203	2	20	20	NUM
cana-2741	203	3	]	]	X
cana-2741	203	4	swaminathan	swaminathan	PROPN
cana-2741	203	5	r.	r.	PROPN
cana-2741	203	6	,	,	PUNCT
cana-2741	203	7	chitra	chitra	PROPN
cana-2741	203	8	devi	devi	PROPN
cana-2741	203	9	m.	m.	PROPN
cana-2741	203	10	l.	l.	PROPN
cana-2741	203	11	and	and	CCONJ
cana-2741	203	12	venugopal	venugopal	PROPN
cana-2741	203	13	k.	k.	PROPN
cana-2741	203	14	(	(	PUNCT
cana-2741	203	15	2021	2021	NUM
cana-2741	203	16	)	)	PUNCT
cana-2741	203	17	.sensitivity	.sensitivity	NOUN
cana-2741	203	18	and	and	CCONJ
cana-2741	203	19	resistance	resistance	NOUN
cana-2741	203	20	of	of	ADP
cana-2741	203	21	amperometric	amperometric	NOUN
cana-2741	203	22	biosensors	biosensor	NOUN
cana-2741	203	23	in	in	ADP
cana-2741	203	24	substrate	substrate	NOUN
cana-2741	203	25	inhibition	inhibition	NOUN
cana-2741	203	26	processes	process	NOUN
cana-2741	203	27	,	,	PUNCT
cana-2741	203	28	journal	journal	NOUN
cana-2741	203	29	of	of	ADP
cana-2741	203	30	electroanalytical	electroanalytical	ADJ
cana-2741	203	31	chemistry,895:115527	chemistry,895:115527	PROPN
cana-2741	203	32	.	.	PUNCT
cana-2741	204	1	[	[	X
cana-2741	204	2	21	21	NUM
cana-2741	204	3	]	]	X
cana-2741	204	4	rajendran	rajendran	PROPN
cana-2741	204	5	l.	l.	PROPN
cana-2741	204	6	,	,	PUNCT
cana-2741	204	7	swaminathan	swaminathan	PROPN
cana-2741	204	8	r.	r.	PROPN
cana-2741	204	9	,	,	PUNCT
cana-2741	204	10	chitra	chitra	PROPN
cana-2741	204	11	devi	devi	PROPN
cana-2741	204	12	m.	m.	PROPN
cana-2741	204	13	(	(	PUNCT
cana-2741	204	14	2	2	NUM
cana-2741	204	15	0	0	NUM
cana-2741	204	16	2	2	NUM
cana-2741	204	17	0	0	NUM
cana-2741	204	18	)	)	PUNCT
cana-2741	204	19	.	.	PUNCT
cana-2741	205	1	a	a	DET
cana-2741	205	2	closer	close	ADJ
cana-2741	205	3	look	look	NOUN
cana-2741	205	4	of	of	ADP
cana-2741	205	5	nonlinear	nonlinear	ADJ
cana-2741	205	6	reaction	reaction	NOUN
cana-2741	205	7	diffusion	diffusion	NOUN
cana-2741	205	8	equations	equation	NOUN
cana-2741	205	9	,	,	PUNCT
cana-2741	205	10	nova	nova	PROPN
cana-2741	205	11	publisher	publisher	NOUN
cana-2741	205	12	,	,	PUNCT
cana-2741	205	13	new	new	PROPN
cana-2741	205	14	york	york	PROPN
cana-2741	205	15	,	,	PUNCT
cana-2741	205	16	[	[	X
cana-2741	205	17	22	22	NUM
cana-2741	205	18	]	]	X
cana-2741	205	19	manimegalai	manimegalai	PROPN
cana-2741	205	20	b.	b.	PROPN
cana-2741	205	21	,	,	PUNCT
cana-2741	205	22	lyons	lyons	PROPN
cana-2741	205	23	m.	m.	PROPN
cana-2741	205	24	e.	e.	PROPN
cana-2741	205	25	g.	g.	PROPN
cana-2741	205	26	and	and	CCONJ
cana-2741	205	27	rajendran	rajendran	PROPN
cana-2741	205	28	l.	l.	PROPN
cana-2741	205	29	(	(	PUNCT
cana-2741	205	30	2021	2021	NUM
cana-2741	205	31	)	)	PUNCT
cana-2741	205	32	a	a	DET
cana-2741	205	33	kinetic	kinetic	ADJ
cana-2741	205	34	model	model	NOUN
cana-2741	205	35	for	for	ADP
cana-2741	205	36	amperometric	amperometric	NOUN
cana-2741	205	37	immobilized	immobilize	VERB
cana-2741	205	38	enzymes	enzyme	NOUN
cana-2741	205	39	at	at	ADP
cana-2741	205	40	planar	planar	ADJ
cana-2741	205	41	,	,	PUNCT
cana-2741	205	42	cylindrical	cylindrical	ADJ
cana-2741	205	43	and	and	CCONJ
cana-2741	205	44	spherical	spherical	ADJ
cana-2741	205	45	electrodes	electrode	NOUN
cana-2741	205	46	:	:	PUNCT
cana-2741	205	47	the	the	DET
cana-2741	205	48	akbari	akbari	PROPN
cana-2741	205	49	ganji	ganji	NOUN
cana-2741	205	50	method	method	NOUN
cana-2741	205	51	,	,	PUNCT
cana-2741	205	52	journal	journal	NOUN
cana-2741	205	53	of	of	ADP
cana-2741	205	54	electroanalytical	electroanalytical	ADJ
cana-2741	205	55	chemistry	chemistry	NOUN
cana-2741	205	56	,	,	PUNCT
cana-2741	205	57	880	880	NUM
cana-2741	205	58	:	:	PUNCT
cana-2741	205	59	70	70	NUM
cana-2741	205	60	-	-	SYM
cana-2741	205	61	88	88	NUM
cana-2741	205	62	.	.	PUNCT
cana-2741	206	1	[	[	X
cana-2741	206	2	23	23	NUM
cana-2741	206	3	]	]	X
cana-2741	206	4	akbari	akbari	PROPN
cana-2741	206	5	m.r	m.r	PROPN
cana-2741	206	6	.	.	PROPN
cana-2741	206	7	,	,	PUNCT
cana-2741	206	8	ganji	ganji	PROPN
cana-2741	206	9	d.	d.	PROPN
cana-2741	206	10	d.	d.	PROPN
cana-2741	206	11	and	and	CCONJ
cana-2741	206	12	rostami	rostami	PROPN
cana-2741	206	13	a.k	a.k	PROPN
cana-2741	206	14	.	.	PUNCT
cana-2741	207	1	(	(	PUNCT
cana-2741	207	2	2015	2015	NUM
cana-2741	207	3	)	)	PUNCT
cana-2741	207	4	.	.	PUNCT
cana-2741	208	1	solving	solve	VERB
cana-2741	208	2	nonlinear	nonlinear	ADJ
cana-2741	208	3	differential	differential	ADJ
cana-2741	208	4	equation	equation	NOUN
cana-2741	208	5	governing	govern	VERB
cana-2741	208	6	on	on	ADP
cana-2741	208	7	the	the	DET
cana-2741	208	8	rigid	rigid	ADJ
cana-2741	208	9	beams	beam	NOUN
cana-2741	208	10	on	on	ADP
cana-2741	208	11	viscoelastic	viscoelastic	ADJ
cana-2741	208	12	foundation	foundation	NOUN
cana-2741	208	13	by	by	ADP
cana-2741	208	14	agm	agm	PROPN
cana-2741	208	15	,	,	PUNCT
cana-2741	208	16	journal	journal	NOUN
cana-2741	208	17	of	of	ADP
cana-2741	208	18	marine	marine	PROPN
cana-2741	208	19	science	science	NOUN
cana-2741	208	20	and	and	CCONJ
cana-2741	208	21	applications	application	NOUN
cana-2741	208	22	,	,	PUNCT
cana-2741	208	23	14:30	14:30	NUM
cana-2741	208	24	-	-	SYM
cana-2741	208	25	38	38	NUM
cana-2741	208	26	.	.	PUNCT
cana-2741	209	1	[	[	X
cana-2741	209	2	24	24	NUM
cana-2741	209	3	]	]	X
cana-2741	209	4	akbari	akbari	PROPN
cana-2741	209	5	m.r	m.r	PROPN
cana-2741	209	6	.	.	PROPN
cana-2741	209	7	,	,	PUNCT
cana-2741	209	8	ganji	ganji	PROPN
cana-2741	209	9	d.d	d.d	PROPN
cana-2741	209	10	.	.	PROPN
cana-2741	209	11	and	and	CCONJ
cana-2741	209	12	nimafar	nimafar	ADJ
cana-2741	209	13	m.	m.	NOUN
cana-2741	209	14	(	(	PUNCT
cana-2741	209	15	2019	2019	NUM
cana-2741	209	16	)	)	PUNCT
cana-2741	209	17	significant	significant	ADJ
cana-2741	209	18	progress	progress	NOUN
cana-2741	209	19	in	in	ADP
cana-2741	209	20	solution	solution	NOUN
cana-2741	209	21	of	of	ADP
cana-2741	209	22	nonlinear	nonlinear	ADJ
cana-2741	209	23	equations	equation	NOUN
cana-2741	209	24	at	at	ADP
cana-2741	209	25	displacement	displacement	NOUN
cana-2741	209	26	of	of	ADP
cana-2741	209	27	structure	structure	NOUN
cana-2741	209	28	and	and	CCONJ
cana-2741	209	29	heat	heat	NOUN
cana-2741	209	30	transfer	transfer	NOUN
cana-2741	209	31	extended	extend	VERB
cana-2741	209	32	surface	surface	NOUN
cana-2741	209	33	by	by	ADP
cana-2741	209	34	new	new	ADJ
cana-2741	209	35	agm	agm	PROPN
cana-2741	209	36	approach	approach	NOUN
cana-2741	209	37	,	,	PUNCT
cana-2741	209	38	frontier	frontier	NOUN
cana-2741	209	39	of	of	ADP
cana-2741	209	40	mechanical	mechanical	ADJ
cana-2741	209	41	engineering	engineering	NOUN
cana-2741	209	42	,	,	PUNCT
cana-2741	209	43	9:390	9:390	NUM
cana-2741	209	44	-	-	SYM
cana-2741	209	45	401	401	NUM
cana-2741	209	46	.	.	PUNCT
cana-2741	210	1	[	[	X
cana-2741	210	2	25	25	NUM
cana-2741	210	3	]	]	PUNCT
cana-2741	210	4	sylvia	sylvia	PROPN
cana-2741	211	1	v.	v.	PROPN
cana-2741	211	2	,	,	PUNCT
cana-2741	211	3	salomi	salomi	PROPN
cana-2741	211	4	r.	r.	PROPN
cana-2741	211	5	j.	j.	PROPN
cana-2741	211	6	,	,	PUNCT
cana-2741	211	7	rajendran	rajendran	PROPN
cana-2741	211	8	l.	l.	PROPN
cana-2741	211	9	and	and	CCONJ
cana-2741	211	10	lyons	lyons	PROPN
cana-2741	211	11	m.	m.	PROPN
cana-2741	211	12	e.	e.	PROPN
cana-2741	211	13	g.	g.	PROPN
cana-2741	211	14	(	(	PUNCT
cana-2741	211	15	2022	2022	NUM
cana-2741	211	16	)	)	PUNCT
cana-2741	211	17	theoretical	theoretical	ADJ
cana-2741	211	18	and	and	CCONJ
cana-2741	211	19	numerical	numerical	ADJ
cana-2741	211	20	analysis	analysis	NOUN
cana-2741	211	21	of	of	ADP
cana-2741	211	22	nonlinear	nonlinear	ADJ
cana-2741	211	23	processes	process	NOUN
cana-2741	211	24	in	in	ADP
cana-2741	211	25	amperometric	amperometric	NOUN
cana-2741	211	26	enzyme	enzyme	NOUN
cana-2741	211	27	electrodes	electrode	NOUN
cana-2741	211	28	with	with	ADP
cana-2741	211	29	cyclic	cyclic	ADJ
cana-2741	211	30	substrate	substrate	NOUN
cana-2741	211	31	conversion	conversion	NOUN
cana-2741	211	32	,	,	PUNCT
cana-2741	211	33	journal	journal	NOUN
cana-2741	211	34	of	of	ADP
cana-2741	211	35	electrochemistry	electrochemistry	NOUN
cana-2741	211	36	,	,	PUNCT
cana-2741	211	37	3:7088	3:7088	NUM
cana-2741	211	38	.	.	PUNCT
cana-2741	212	1	[	[	X
cana-2741	212	2	26	26	NUM
cana-2741	212	3	]	]	X
cana-2741	212	4	reena	reena	PROPN
cana-2741	212	5	a.	a.	PROPN
cana-2741	212	6	,	,	PUNCT
cana-2741	212	7	karpagavalli	karpagavalli	PROPN
cana-2741	212	8	s.	s.	PROPN
cana-2741	212	9	,	,	PUNCT
cana-2741	212	10	rajendran	rajendran	PROPN
cana-2741	212	11	l.	l.	PROPN
cana-2741	212	12	,	,	PUNCT
cana-2741	212	13	manimegalai	manimegalai	PROPN
cana-2741	212	14	b.	b.	PROPN
cana-2741	212	15	and	and	CCONJ
cana-2741	212	16	swaminathan	swaminathan	PROPN
cana-2741	212	17	r.	r.	PROPN
cana-2741	212	18	(	(	PUNCT
cana-2741	212	19	2	2	NUM
cana-2741	212	20	0	0	NUM
cana-2741	212	21	2	2	NUM
cana-2741	212	22	3	3	NUM
cana-2741	212	23	)	)	PUNCT
cana-2741	212	24	theoretical	theoretical	ADJ
cana-2741	212	25	analysis	analysis	NOUN
cana-2741	212	26	of	of	ADP
cana-2741	212	27	putrescine	putrescine	NOUN
cana-2741	212	28	enzymatic	enzymatic	ADJ
cana-2741	212	29	biosensor	biosensor	NOUN
cana-2741	212	30	with	with	ADP
cana-2741	212	31	optical	optical	ADJ
cana-2741	212	32	oxygen	oxygen	NOUN
cana-2741	212	33	transducer	transducer	NOUN
cana-2741	212	34	in	in	ADP
cana-2741	212	35	sensitive	sensitive	ADJ
cana-2741	212	36	layer	layer	NOUN
cana-2741	212	37	using	use	VERB
cana-2741	212	38	akbari	akbari	PROPN
cana-2741	212	39	ganji	ganji	NOUN
cana-2741	212	40	method	method	NOUN
cana-2741	212	41	,	,	PUNCT
cana-2741	212	42	international	international	ADJ
cana-2741	212	43	journal	journal	NOUN
cana-2741	212	44	of	of	ADP
cana-2741	212	45	electroanalytical	electroanalytical	ADJ
cana-2741	212	46	science	science	NOUN
cana-2741	212	47	,	,	PUNCT
cana-2741	212	48	18(5):100113	18(5):100113	NUM
cana-2741	212	49	.	.	PUNCT
cana-2741	213	1	[	[	X
cana-2741	213	2	27	27	NUM
cana-2741	213	3	]	]	X
cana-2741	213	4	meresht	meresht	PROPN
cana-2741	213	5	n.b	n.b	PROPN
cana-2741	213	6	.	.	PROPN
cana-2741	213	7	and	and	CCONJ
cana-2741	213	8	ganji	ganji	PROPN
cana-2741	213	9	d.d	d.d	PROPN
cana-2741	213	10	.	.	PUNCT
cana-2741	214	1	(	(	PUNCT
cana-2741	214	2	2	2	NUM
cana-2741	214	3	0	0	NUM
cana-2741	214	4	1	1	NUM
cana-2741	214	5	7	7	NUM
cana-2741	214	6	)	)	PUNCT
cana-2741	214	7	solving	solve	VERB
cana-2741	214	8	nonlinear	nonlinear	ADJ
cana-2741	214	9	differential	differential	ADJ
cana-2741	214	10	equation	equation	NOUN
cana-2741	214	11	arising	arise	VERB
cana-2741	214	12	in	in	ADP
cana-2741	214	13	dynamical	dynamical	ADJ
cana-2741	214	14	systems	system	NOUN
cana-2741	214	15	by	by	ADP
cana-2741	214	16	agm	agm	PROPN
cana-2741	214	17	,	,	PUNCT
cana-2741	214	18	international	international	ADJ
cana-2741	214	19	journal	journal	NOUN
cana-2741	214	20	of	of	ADP
cana-2741	214	21	applied	applied	ADJ
cana-2741	214	22	and	and	CCONJ
cana-2741	214	23	computational	computational	ADJ
cana-2741	214	24	mathematics	mathematic	NOUN
cana-2741	214	25	,	,	PUNCT
cana-2741	214	26	3:1507	3:1507	NUM
cana-2741	214	27	-	-	SYM
cana-2741	214	28	1523	1523	NUM
cana-2741	214	29	.	.	PUNCT
cana-2741	215	1	[	[	X
cana-2741	215	2	28	28	NUM
cana-2741	215	3	]	]	X
cana-2741	215	4	ranjani	ranjani	PROPN
cana-2741	215	5	k.	k.	PROPN
cana-2741	215	6	,	,	PUNCT
cana-2741	215	7	swaminathan	swaminathan	PROPN
cana-2741	215	8	r.	r.	PROPN
cana-2741	215	9	,	,	PUNCT
cana-2741	215	10	karpagavalli	karpagavalli	PROPN
cana-2741	215	11	s.(2023	s.(2023	PROPN
cana-2741	215	12	)	)	PUNCT
cana-2741	215	13	mathematical	mathematical	ADJ
cana-2741	215	14	modelling	modelling	NOUN
cana-2741	215	15	of	of	ADP
cana-2741	215	16	a	a	DET
cana-2741	215	17	mono	mono	NOUN
cana-2741	215	18	enzyme	enzyme	NOUN
cana-2741	215	19	dual	dual	ADJ
cana-2741	215	20	amperometric	amperometric	NOUN
cana-2741	215	21	biosensor	biosensor	NOUN
cana-2741	215	22	for	for	ADP
cana-2741	215	23	enzyme	enzyme	NOUN
cana-2741	215	24	-	-	PUNCT
cana-2741	215	25	catalyzed	catalyze	VERB
cana-2741	215	26	reactions	reaction	NOUN
cana-2741	215	27	using	use	VERB
cana-2741	215	28	homotopy	homotopy	NOUN
cana-2741	215	29	analysis	analysis	NOUN
cana-2741	215	30	method	method	NOUN
cana-2741	215	31	and	and	CCONJ
cana-2741	215	32	akbari	akbari	PROPN
cana-2741	215	33	ganji	ganji	PROPN
cana-2741	215	34	method	method	NOUN
cana-2741	215	35	,	,	PUNCT
cana-2741	215	36	international	international	ADJ
cana-2741	215	37	journal	journal	NOUN
cana-2741	215	38	of	of	ADP
cana-2741	215	39	applied	applied	ADJ
cana-2741	215	40	and	and	CCONJ
cana-2741	215	41	computational	computational	ADJ
cana-2741	215	42	mathematics	mathematic	NOUN
cana-2741	215	43	18(9	18(9	NOUN
cana-2741	215	44	)	)	PUNCT
cana-2741	215	45	:	:	PUNCT
cana-2741	215	46	100220	100220	NUM
cana-2741	215	47	.	.	PUNCT
cana-2741	216	1	[	[	X
cana-2741	216	2	29	29	NUM
cana-2741	216	3	]	]	X
cana-2741	216	4	logambal	logambal	PROPN
cana-2741	216	5	s.	s.	PROPN
cana-2741	216	6	and	and	CCONJ
cana-2741	216	7	rajendarn	rajendarn	PROPN
cana-2741	216	8	l.	l.	PROPN
cana-2741	216	9	(	(	PUNCT
cana-2741	216	10	2010	2010	NUM
cana-2741	216	11	)	)	PUNCT
cana-2741	216	12	analysis	analysis	NOUN
cana-2741	216	13	of	of	ADP
cana-2741	216	14	amperometric	amperometric	NOUN
cana-2741	216	15	enzyme	enzyme	NOUN
cana-2741	216	16	electrodes	electrode	NOUN
cana-2741	216	17	in	in	ADP
cana-2741	216	18	the	the	DET
cana-2741	216	19	homogeneous	homogeneous	ADJ
cana-2741	216	20	mediated	mediate	VERB
cana-2741	216	21	mechanism	mechanism	NOUN
cana-2741	216	22	using	use	VERB
cana-2741	216	23	variational	variational	ADJ
cana-2741	216	24	iteration	iteration	NOUN
cana-2741	216	25	method	method	NOUN
cana-2741	216	26	,	,	PUNCT
cana-2741	216	27	international	international	ADJ
cana-2741	216	28	journal	journal	NOUN
cana-2741	216	29	of	of	ADP
cana-2741	216	30	applied	applied	ADJ
cana-2741	216	31	and	and	CCONJ
cana-2741	216	32	computational	computational	ADJ
cana-2741	216	33	mathematics	mathematic	NOUN
cana-2741	216	34	,	,	PUNCT
cana-2741	216	35	5:327	5:327	NOUN
cana-2741	216	36	-	-	SYM
cana-2741	216	37	343	343	NUM
cana-2741	216	38	.	.	PUNCT
cana-2741	217	1	[	[	X
cana-2741	217	2	30	30	NUM
cana-2741	217	3	]	]	X
cana-2741	217	4	rajendran	rajendran	PROPN
cana-2741	217	5	l.	l.	PROPN
cana-2741	217	6	and	and	CCONJ
cana-2741	217	7	rahamathunissa	rahamathunissa	PROPN
cana-2741	217	8	g.	g.	PROPN
cana-2741	217	9	(	(	PUNCT
cana-2741	217	10	2008	2008	NUM
cana-2741	217	11	)	)	PUNCT
cana-2741	217	12	application	application	NOUN
cana-2741	217	13	of	of	ADP
cana-2741	217	14	he	he	PRON
cana-2741	217	15	’s	’	VERB
cana-2741	217	16	variational	variational	ADJ
cana-2741	217	17	iteration	iteration	NOUN
cana-2741	217	18	method	method	NOUN
cana-2741	217	19	in	in	ADP
cana-2741	217	20	nonlinear	nonlinear	ADJ
cana-2741	217	21	boundary	boundary	ADJ
cana-2741	217	22	value	value	NOUN
cana-2741	217	23	problem	problem	NOUN
cana-2741	217	24	in	in	ADP
cana-2741	217	25	enzyme	enzyme	NOUN
cana-2741	217	26	-substrate	-substrate	NOUN
cana-2741	217	27	reaction	reaction	NOUN
cana-2741	217	28	diffusion	diffusion	NOUN
cana-2741	217	29	processes	process	NOUN
cana-2741	217	30	,	,	PUNCT
cana-2741	217	31	journal	journal	NOUN
cana-2741	217	32	of	of	ADP
cana-2741	217	33	mathematical	mathematical	ADJ
cana-2741	217	34	chemistry	chemistry	NOUN
cana-2741	217	35	,	,	PUNCT
cana-2741	217	36	44	44	NUM
cana-2741	217	37	:	:	SYM
cana-2741	217	38	849	849	NUM
cana-2741	217	39	-	-	SYM
cana-2741	217	40	861	861	NUM
cana-2741	217	41	.	.	PUNCT