id	sid	tid	token	lemma	pos
easat-10990	1	1	edelweiss	edelweiss	PROPN
easat-10990	1	2	applied	apply	VERB
easat-10990	1	3	science	science	NOUN
easat-10990	1	4	and	and	CCONJ
easat-10990	1	5	technology	technology	NOUN
easat-10990	1	6	issn	issn	PROPN
easat-10990	1	7	:	:	PUNCT
easat-10990	1	8	2576	2576	NUM
easat-10990	1	9	-	-	SYM
easat-10990	1	10	8484	8484	NUM
easat-10990	1	11	vol	vol	NOUN
easat-10990	1	12	.	.	PROPN
easat-10990	2	1	9	9	NUM
easat-10990	2	2	,	,	PUNCT
easat-10990	2	3	no	no	INTJ
easat-10990	2	4	.	.	NOUN
easat-10990	2	5	11	11	NUM
easat-10990	2	6	,	,	PUNCT
easat-10990	2	7	766	766	NUM
easat-10990	2	8	-	-	SYM
easat-10990	2	9	776	776	NUM
easat-10990	2	10	2025	2025	NUM
easat-10990	2	11	publisher	publisher	NOUN
easat-10990	2	12	:	:	PUNCT
easat-10990	2	13	learning	learn	VERB
easat-10990	2	14	gate	gate	NOUN
easat-10990	2	15	doi	doi	PROPN
easat-10990	2	16	:	:	PUNCT
easat-10990	2	17	10.55214/2576	10.55214/2576	NUM
easat-10990	2	18	-	-	SYM
easat-10990	2	19	8484.v9i11.10990	8484.v9i11.10990	NUM
easat-10990	2	20	©	©	PROPN
easat-10990	2	21	2025	2025	NUM
easat-10990	2	22	by	by	ADP
easat-10990	2	23	the	the	DET
easat-10990	2	24	authors	author	NOUN
easat-10990	2	25	;	;	PUNCT
easat-10990	2	26	licensee	licensee	PROPN
easat-10990	2	27	learning	learning	NOUN
easat-10990	2	28	gate	gate	NOUN
easat-10990	3	1	©	©	PROPN
easat-10990	3	2	2025	2025	NUM
easat-10990	3	3	by	by	ADP
easat-10990	3	4	the	the	DET
easat-10990	3	5	authors	author	NOUN
easat-10990	3	6	;	;	PUNCT
easat-10990	3	7	licensee	licensee	PROPN
easat-10990	3	8	learning	learning	NOUN
easat-10990	3	9	gate	gate	NOUN
easat-10990	3	10	history	history	NOUN
easat-10990	3	11	:	:	PUNCT
easat-10990	3	12	received	receive	VERB
easat-10990	3	13	:	:	PUNCT
easat-10990	3	14	17	17	NUM
easat-10990	3	15	september	september	PROPN
easat-10990	3	16	2025	2025	NUM
easat-10990	3	17	;	;	PUNCT
easat-10990	3	18	revised	revise	VERB
easat-10990	3	19	:	:	PUNCT
easat-10990	3	20	13	13	NUM
easat-10990	3	21	october	october	NOUN
easat-10990	3	22	2025	2025	NUM
easat-10990	3	23	;	;	PUNCT
easat-10990	3	24	accepted	accept	VERB
easat-10990	3	25	:	:	PUNCT
easat-10990	3	26	17	17	NUM
easat-10990	3	27	october	october	NOUN
easat-10990	3	28	2025	2025	NUM
easat-10990	3	29	;	;	PUNCT
easat-10990	3	30	published	publish	VERB
easat-10990	3	31	:	:	PUNCT
easat-10990	3	32	12	12	NUM
easat-10990	3	33	november	november	PROPN
easat-10990	3	34	2025	2025	NUM
easat-10990	3	35	*	*	PUNCT
easat-10990	3	36	correspondence	correspondence	NOUN
easat-10990	3	37	:	:	PUNCT
easat-10990	3	38	sean_pang_ms24@iluv.ums.edu.my	sean_pang_ms24@iluv.ums.edu.my	X
easat-10990	3	39	an	an	DET
easat-10990	3	40	accelerated	accelerate	VERB
easat-10990	3	41	numerical	numerical	ADJ
easat-10990	3	42	framework	framework	NOUN
easat-10990	3	43	to	to	PART
easat-10990	3	44	simulate	simulate	VERB
easat-10990	3	45	brain	brain	NOUN
easat-10990	3	46	tumor	tumor	NOUN
easat-10990	3	47	growth	growth	NOUN
easat-10990	3	48	via	via	ADP
easat-10990	3	49	ksor	ksor	NOUN
easat-10990	3	50	method	method	PROPN
easat-10990	3	51	sean	sean	PROPN
easat-10990	3	52	chong	chong	PROPN
easat-10990	3	53	huai	huai	PROPN
easat-10990	3	54	pang1	pang1	PROPN
easat-10990	3	55	*	*	PROPN
easat-10990	3	56	,	,	PUNCT
easat-10990	3	57	jumat	jumat	PROPN
easat-10990	3	58	sulaiman2	sulaiman2	PROPN
easat-10990	3	59	,	,	PUNCT
easat-10990	3	60	khadizah	khadizah	PROPN
easat-10990	3	61	ghazali3	ghazali3	PROPN
easat-10990	3	62	,	,	PUNCT
easat-10990	3	63	azali	azali	PROPN
easat-10990	3	64	saudi4	saudi4	PROPN
easat-10990	3	65	,	,	PUNCT
easat-10990	3	66	jackel	jackel	PROPN
easat-10990	3	67	vui	vui	PROPN
easat-10990	3	68	lung	lung	PROPN
easat-10990	3	69	chew5	chew5	PROPN
easat-10990	3	70	,	,	PUNCT
easat-10990	3	71	mohana	mohana	PROPN
easat-10990	3	72	sundaram	sundaram	PROPN
easat-10990	3	73	muthuvalu6	muthuvalu6	PROPN
easat-10990	3	74	,	,	PUNCT
easat-10990	3	75	majid	majid	PROPN
easat-10990	3	76	khan	khan	PROPN
easat-10990	3	77	majahar	majahar	PROPN
easat-10990	3	78	ali7	ali7	PROPN
easat-10990	3	79	1,2,3faculty	1,2,3faculty	NUM
easat-10990	3	80	of	of	ADP
easat-10990	3	81	science	science	NOUN
easat-10990	3	82	and	and	CCONJ
easat-10990	3	83	natural	natural	ADJ
easat-10990	3	84	resources	resource	NOUN
easat-10990	3	85	,	,	PUNCT
easat-10990	3	86	universiti	universiti	PROPN
easat-10990	3	87	malaysia	malaysia	PROPN
easat-10990	3	88	sabah	sabah	PROPN
easat-10990	3	89	,	,	PUNCT
easat-10990	3	90	88400	88400	NUM
easat-10990	3	91	kota	kota	PROPN
easat-10990	3	92	kinabalu	kinabalu	PROPN
easat-10990	3	93	,	,	PUNCT
easat-10990	3	94	sabah	sabah	PROPN
easat-10990	3	95	,	,	PUNCT
easat-10990	3	96	malaysia	malaysia	PROPN
easat-10990	3	97	;	;	PUNCT
easat-10990	3	98	sean_pang_ms24@iluv.ums.edu.my	sean_pang_ms24@iluv.ums.edu.my	NUM
easat-10990	3	99	(	(	PUNCT
easat-10990	3	100	s.c.h.p	s.c.h.p	PROPN
easat-10990	3	101	.	.	PUNCT
easat-10990	3	102	)	)	PUNCT
easat-10990	4	1	jumat@ums.edu.my	jumat@ums.edu.my	PROPN
easat-10990	4	2	(	(	PUNCT
easat-10990	4	3	j.s	j.s	PROPN
easat-10990	4	4	.	.	PUNCT
easat-10990	4	5	)	)	PUNCT
easat-10990	4	6	khadizah@ums.edu.my	khadizah@ums.edu.my	NOUN
easat-10990	4	7	(	(	PUNCT
easat-10990	4	8	k.g	k.g	PROPN
easat-10990	4	9	.	.	PROPN
easat-10990	4	10	)	)	PUNCT
easat-10990	4	11	.	.	PUNCT
easat-10990	5	1	4faculty	4faculty	NUM
easat-10990	5	2	of	of	ADP
easat-10990	5	3	computing	computing	NOUN
easat-10990	5	4	and	and	CCONJ
easat-10990	5	5	informatics	informatic	NOUN
easat-10990	5	6	,	,	PUNCT
easat-10990	5	7	universiti	universiti	PROPN
easat-10990	5	8	malaysia	malaysia	PROPN
easat-10990	5	9	sabah	sabah	PROPN
easat-10990	5	10	,	,	PUNCT
easat-10990	5	11	88400	88400	NUM
easat-10990	5	12	kota	kota	PROPN
easat-10990	5	13	kinabalu	kinabalu	PROPN
easat-10990	5	14	sabah	sabah	PROPN
easat-10990	5	15	,	,	PUNCT
easat-10990	5	16	malaysia	malaysia	PROPN
easat-10990	5	17	;	;	PUNCT
easat-10990	5	18	azali@ums.edu.my	azali@ums.edu.my	PROPN
easat-10990	5	19	(	(	PUNCT
easat-10990	5	20	a.s	a.s	PROPN
easat-10990	5	21	.	.	PROPN
easat-10990	5	22	)	)	PUNCT
easat-10990	5	23	.	.	PUNCT
easat-10990	6	1	5faculty	5faculty	NUM
easat-10990	6	2	of	of	ADP
easat-10990	6	3	computing	computing	NOUN
easat-10990	6	4	and	and	CCONJ
easat-10990	6	5	informatics	informatic	NOUN
easat-10990	6	6	,	,	PUNCT
easat-10990	6	7	universiti	universiti	PROPN
easat-10990	6	8	malaysia	malaysia	PROPN
easat-10990	6	9	sabah	sabah	PROPN
easat-10990	6	10	labuan	labuan	PROPN
easat-10990	6	11	international	international	PROPN
easat-10990	6	12	campus	campus	PROPN
easat-10990	6	13	,	,	PUNCT
easat-10990	6	14	87000	87000	NUM
easat-10990	6	15	labuan	labuan	PROPN
easat-10990	6	16	f.t	f.t	PROPN
easat-10990	6	17	.	.	PROPN
easat-10990	6	18	,	,	PUNCT
easat-10990	6	19	malaysia	malaysia	PROPN
easat-10990	6	20	;	;	PUNCT
easat-10990	6	21	jackelchew93@ums.edu.my	jackelchew93@ums.edu.my	NUM
easat-10990	6	22	(	(	PUNCT
easat-10990	6	23	j.v.l.c	j.v.l.c	PROPN
easat-10990	6	24	.	.	PUNCT
easat-10990	6	25	)	)	PUNCT
easat-10990	6	26	.	.	PUNCT
easat-10990	7	1	6faculty	6faculty	NUM
easat-10990	7	2	of	of	ADP
easat-10990	7	3	science	science	NOUN
easat-10990	7	4	,	,	PUNCT
easat-10990	7	5	management	management	NOUN
easat-10990	7	6	and	and	CCONJ
easat-10990	7	7	computing	computing	NOUN
easat-10990	7	8	,	,	PUNCT
easat-10990	7	9	universiti	universiti	PROPN
easat-10990	7	10	teknologi	teknologi	PROPN
easat-10990	7	11	petronas	petronas	PROPN
easat-10990	7	12	,	,	PUNCT
easat-10990	7	13	32610	32610	NUM
easat-10990	7	14	perak	perak	PROPN
easat-10990	7	15	,	,	PUNCT
easat-10990	7	16	malaysia	malaysia	PROPN
easat-10990	7	17	;	;	PUNCT
easat-10990	7	18	mohana.muthuvalu@utp.edu.my	mohana.muthuvalu@utp.edu.my	PROPN
easat-10990	7	19	(	(	PUNCT
easat-10990	7	20	m.s.m	m.s.m	PROPN
easat-10990	7	21	.	.	PUNCT
easat-10990	7	22	)	)	PUNCT
easat-10990	7	23	.	.	PUNCT
easat-10990	8	1	7school	7school	NUM
easat-10990	8	2	of	of	ADP
easat-10990	8	3	mathematical	mathematical	ADJ
easat-10990	8	4	science	science	NOUN
easat-10990	8	5	,	,	PUNCT
easat-10990	8	6	universiti	universiti	PROPN
easat-10990	8	7	sains	sain	VERB
easat-10990	8	8	malaysia	malaysia	PROPN
easat-10990	8	9	,	,	PUNCT
easat-10990	8	10	11700	11700	NUM
easat-10990	8	11	gelugor	gelugor	NOUN
easat-10990	8	12	,	,	PUNCT
easat-10990	8	13	pulau	pulau	PROPN
easat-10990	8	14	pinang	pinang	PROPN
easat-10990	8	15	,	,	PUNCT
easat-10990	8	16	malaysia	malaysia	PROPN
easat-10990	8	17	;	;	PUNCT
easat-10990	9	1	majidkhanmajaharali@usm.my	majidkhanmajaharali@usm.my	PROPN
easat-10990	9	2	(	(	PUNCT
easat-10990	9	3	m.k.m.a	m.k.m.a	PROPN
easat-10990	9	4	.	.	PROPN
easat-10990	9	5	)	)	PUNCT
easat-10990	9	6	.	.	PUNCT
easat-10990	10	1	abstract	abstract	ADV
easat-10990	10	2	:	:	PUNCT
easat-10990	10	3	the	the	DET
easat-10990	10	4	complex	complex	ADJ
easat-10990	10	5	and	and	CCONJ
easat-10990	10	6	invasive	invasive	ADJ
easat-10990	10	7	dynamics	dynamic	NOUN
easat-10990	10	8	of	of	ADP
easat-10990	10	9	brain	brain	NOUN
easat-10990	10	10	tumours	tumour	NOUN
easat-10990	10	11	present	present	VERB
easat-10990	10	12	significant	significant	ADJ
easat-10990	10	13	clinical	clinical	ADJ
easat-10990	10	14	and	and	CCONJ
easat-10990	10	15	computational	computational	ADJ
easat-10990	10	16	challenges	challenge	NOUN
easat-10990	10	17	.	.	PUNCT
easat-10990	11	1	this	this	DET
easat-10990	11	2	study	study	NOUN
easat-10990	11	3	aims	aim	VERB
easat-10990	11	4	to	to	PART
easat-10990	11	5	enhance	enhance	VERB
easat-10990	11	6	the	the	DET
easat-10990	11	7	numerical	numerical	ADJ
easat-10990	11	8	efficiency	efficiency	NOUN
easat-10990	11	9	of	of	ADP
easat-10990	11	10	brain	brain	NOUN
easat-10990	11	11	tumour	tumour	NOUN
easat-10990	11	12	growth	growth	NOUN
easat-10990	11	13	simulation	simulation	NOUN
easat-10990	11	14	through	through	ADP
easat-10990	11	15	an	an	DET
easat-10990	11	16	improved	improved	ADJ
easat-10990	11	17	iterative	iterative	NOUN
easat-10990	11	18	solver	solver	NOUN
easat-10990	11	19	.	.	PUNCT
easat-10990	12	1	a	a	DET
easat-10990	12	2	two	two	NUM
easat-10990	12	3	-	-	PUNCT
easat-10990	12	4	dimensional	dimensional	ADJ
easat-10990	12	5	diffusion	diffusion	NOUN
easat-10990	12	6	–	–	PUNCT
easat-10990	12	7	proliferation	proliferation	NOUN
easat-10990	12	8	model	model	NOUN
easat-10990	12	9	of	of	ADP
easat-10990	12	10	brain	brain	NOUN
easat-10990	12	11	tumour	tumour	NOUN
easat-10990	12	12	growth	growth	NOUN
easat-10990	12	13	is	be	AUX
easat-10990	12	14	discretized	discretize	VERB
easat-10990	12	15	using	use	VERB
easat-10990	12	16	an	an	DET
easat-10990	12	17	implicit	implicit	ADJ
easat-10990	12	18	finite	finite	ADJ
easat-10990	12	19	difference	difference	NOUN
easat-10990	12	20	scheme	scheme	NOUN
easat-10990	12	21	to	to	PART
easat-10990	12	22	generate	generate	VERB
easat-10990	12	23	a	a	DET
easat-10990	12	24	large	large	ADJ
easat-10990	12	25	,	,	PUNCT
easat-10990	12	26	sparse	sparse	ADJ
easat-10990	12	27	linear	linear	ADJ
easat-10990	12	28	system	system	NOUN
easat-10990	12	29	.	.	PUNCT
easat-10990	13	1	the	the	DET
easat-10990	13	2	resulting	result	VERB
easat-10990	13	3	system	system	NOUN
easat-10990	13	4	is	be	AUX
easat-10990	13	5	solved	solve	VERB
easat-10990	13	6	iteratively	iteratively	ADV
easat-10990	13	7	using	use	VERB
easat-10990	13	8	the	the	DET
easat-10990	13	9	kaudd	kaudd	PROPN
easat-10990	13	10	successive	successive	ADJ
easat-10990	13	11	over	over	ADP
easat-10990	13	12	-	-	PUNCT
easat-10990	13	13	relaxation	relaxation	NOUN
easat-10990	13	14	(	(	PUNCT
easat-10990	13	15	ksor	ksor	NOUN
easat-10990	13	16	)	)	PUNCT
easat-10990	13	17	method	method	NOUN
easat-10990	13	18	and	and	CCONJ
easat-10990	13	19	compared	compare	VERB
easat-10990	13	20	with	with	ADP
easat-10990	13	21	the	the	DET
easat-10990	13	22	classical	classical	ADJ
easat-10990	13	23	gauss	gauss	NOUN
easat-10990	13	24	–	–	PUNCT
easat-10990	13	25	seidel	seidel	PROPN
easat-10990	13	26	(	(	PUNCT
easat-10990	13	27	gs	gs	NOUN
easat-10990	13	28	)	)	PUNCT
easat-10990	13	29	approach	approach	NOUN
easat-10990	13	30	in	in	ADP
easat-10990	13	31	terms	term	NOUN
easat-10990	13	32	of	of	ADP
easat-10990	13	33	convergence	convergence	NOUN
easat-10990	13	34	rate	rate	NOUN
easat-10990	13	35	,	,	PUNCT
easat-10990	13	36	iteration	iteration	NOUN
easat-10990	13	37	count	count	NOUN
easat-10990	13	38	,	,	PUNCT
easat-10990	13	39	computation	computation	NOUN
easat-10990	13	40	time	time	NOUN
easat-10990	13	41	,	,	PUNCT
easat-10990	13	42	and	and	CCONJ
easat-10990	13	43	numerical	numerical	ADJ
easat-10990	13	44	accuracy	accuracy	NOUN
easat-10990	13	45	.	.	PUNCT
easat-10990	14	1	numerical	numerical	ADJ
easat-10990	14	2	experiments	experiment	NOUN
easat-10990	14	3	reveal	reveal	VERB
easat-10990	14	4	that	that	SCONJ
easat-10990	14	5	the	the	DET
easat-10990	14	6	ksor	ksor	NOUN
easat-10990	14	7	method	method	NOUN
easat-10990	14	8	achieves	achieve	VERB
easat-10990	14	9	up	up	ADP
easat-10990	14	10	to	to	ADP
easat-10990	14	11	94.65	94.65	NUM
easat-10990	14	12	%	%	NOUN
easat-10990	14	13	reduction	reduction	NOUN
easat-10990	14	14	in	in	ADP
easat-10990	14	15	iterations	iteration	NOUN
easat-10990	14	16	and	and	CCONJ
easat-10990	14	17	86.33	86.33	NUM
easat-10990	14	18	%	%	NOUN
easat-10990	14	19	faster	fast	ADJ
easat-10990	14	20	computation	computation	NOUN
easat-10990	14	21	compared	compare	VERB
easat-10990	14	22	to	to	ADP
easat-10990	14	23	gs	gs	PRON
easat-10990	14	24	while	while	SCONJ
easat-10990	14	25	maintaining	maintain	VERB
easat-10990	14	26	high	high	ADJ
easat-10990	14	27	stability	stability	NOUN
easat-10990	14	28	and	and	CCONJ
easat-10990	14	29	accuracy	accuracy	NOUN
easat-10990	14	30	.	.	PUNCT
easat-10990	15	1	these	these	DET
easat-10990	15	2	findings	finding	NOUN
easat-10990	15	3	demonstrate	demonstrate	VERB
easat-10990	15	4	that	that	SCONJ
easat-10990	15	5	integrating	integrate	VERB
easat-10990	15	6	the	the	DET
easat-10990	15	7	implicit	implicit	ADJ
easat-10990	15	8	finite	finite	ADJ
easat-10990	15	9	difference	difference	NOUN
easat-10990	15	10	scheme	scheme	NOUN
easat-10990	15	11	with	with	ADP
easat-10990	15	12	ksor	ksor	NOUN
easat-10990	15	13	provides	provide	VERB
easat-10990	15	14	a	a	DET
easat-10990	15	15	robust	robust	ADJ
easat-10990	15	16	and	and	CCONJ
easat-10990	15	17	efficient	efficient	ADJ
easat-10990	15	18	numerical	numerical	ADJ
easat-10990	15	19	framework	framework	NOUN
easat-10990	15	20	for	for	ADP
easat-10990	15	21	modelling	model	VERB
easat-10990	15	22	two	two	NUM
easat-10990	15	23	-	-	PUNCT
easat-10990	15	24	dimensional	dimensional	ADJ
easat-10990	15	25	brain	brain	NOUN
easat-10990	15	26	tumour	tumour	NOUN
easat-10990	15	27	dynamics	dynamic	NOUN
easat-10990	15	28	.	.	PUNCT
easat-10990	16	1	this	this	DET
easat-10990	16	2	approach	approach	NOUN
easat-10990	16	3	offers	offer	VERB
easat-10990	16	4	practical	practical	ADJ
easat-10990	16	5	implications	implication	NOUN
easat-10990	16	6	for	for	ADP
easat-10990	16	7	improving	improve	VERB
easat-10990	16	8	computational	computational	ADJ
easat-10990	16	9	modelling	modelling	NOUN
easat-10990	16	10	of	of	ADP
easat-10990	16	11	tumour	tumour	ADJ
easat-10990	16	12	progression	progression	NOUN
easat-10990	16	13	,	,	PUNCT
easat-10990	16	14	potentially	potentially	ADV
easat-10990	16	15	supporting	support	VERB
easat-10990	16	16	real	real	ADJ
easat-10990	16	17	-	-	PUNCT
easat-10990	16	18	time	time	NOUN
easat-10990	16	19	prediction	prediction	NOUN
easat-10990	16	20	and	and	CCONJ
easat-10990	16	21	treatment	treatment	NOUN
easat-10990	16	22	planning	planning	NOUN
easat-10990	16	23	in	in	ADP
easat-10990	16	24	biomedical	biomedical	ADJ
easat-10990	16	25	and	and	CCONJ
easat-10990	16	26	clinical	clinical	ADJ
easat-10990	16	27	applications	application	NOUN
easat-10990	16	28	.	.	PUNCT
easat-10990	17	1	keywords	keyword	NOUN
easat-10990	17	2	:	:	PUNCT
easat-10990	17	3	brain	brain	VERB
easat-10990	17	4	tumour	tumour	NOUN
easat-10990	17	5	modelling	modelling	NOUN
easat-10990	17	6	,	,	PUNCT
easat-10990	17	7	gauss	gauss	NOUN
easat-10990	17	8	-	-	PUNCT
easat-10990	17	9	seidel	seidel	NOUN
easat-10990	17	10	,	,	PUNCT
easat-10990	17	11	iterative	iterative	NOUN
easat-10990	17	12	solvers	solver	NOUN
easat-10990	17	13	,	,	PUNCT
easat-10990	17	14	kauddsuccessive	kauddsuccessive	ADJ
easat-10990	17	15	over	over	ADP
easat-10990	17	16	-	-	PUNCT
easat-10990	17	17	relaxation	relaxation	NOUN
easat-10990	17	18	,	,	PUNCT
easat-10990	17	19	partial	partial	ADJ
easat-10990	17	20	differential	differential	NOUN
easat-10990	17	21	equation	equation	NOUN
easat-10990	17	22	.	.	PUNCT
easat-10990	18	1	1	1	X
easat-10990	18	2	.	.	X
easat-10990	18	3	introduction	introduction	NOUN
easat-10990	18	4	brain	brain	NOUN
easat-10990	18	5	tumours	tumour	VERB
easat-10990	18	6	,	,	PUNCT
easat-10990	18	7	especially	especially	ADV
easat-10990	18	8	diffuse	diffuse	VERB
easat-10990	18	9	gliomas	glioma	NOUN
easat-10990	18	10	,	,	PUNCT
easat-10990	18	11	are	be	AUX
easat-10990	18	12	among	among	ADP
easat-10990	18	13	the	the	DET
easat-10990	18	14	most	most	ADV
easat-10990	18	15	aggressive	aggressive	ADJ
easat-10990	18	16	cancers	cancer	NOUN
easat-10990	18	17	of	of	ADP
easat-10990	18	18	the	the	DET
easat-10990	18	19	central	central	ADJ
easat-10990	18	20	nervous	nervous	ADJ
easat-10990	18	21	system	system	NOUN
easat-10990	18	22	,	,	PUNCT
easat-10990	18	23	marked	mark	VERB
easat-10990	18	24	by	by	ADP
easat-10990	18	25	their	their	PRON
easat-10990	18	26	relentless	relentless	ADJ
easat-10990	18	27	infiltration	infiltration	NOUN
easat-10990	18	28	into	into	ADP
easat-10990	18	29	surrounding	surround	VERB
easat-10990	18	30	healthy	healthy	ADJ
easat-10990	18	31	tissue	tissue	NOUN
easat-10990	18	32	and	and	CCONJ
easat-10990	18	33	the	the	DET
easat-10990	18	34	difficulty	difficulty	NOUN
easat-10990	18	35	of	of	ADP
easat-10990	18	36	complete	complete	ADJ
easat-10990	18	37	surgical	surgical	ADJ
easat-10990	18	38	removal	removal	NOUN
easat-10990	18	39	.	.	PUNCT
easat-10990	19	1	their	their	PRON
easat-10990	19	2	microscopic	microscopic	ADJ
easat-10990	19	3	spread	spread	NOUN
easat-10990	19	4	often	often	ADV
easat-10990	19	5	extends	extend	VERB
easat-10990	19	6	far	far	ADV
easat-10990	19	7	beyond	beyond	ADP
easat-10990	19	8	the	the	DET
easat-10990	19	9	visible	visible	ADJ
easat-10990	19	10	tumour	tumour	NOUN
easat-10990	19	11	margin	margin	NOUN
easat-10990	19	12	on	on	ADP
easat-10990	19	13	mri	mri	NOUN
easat-10990	19	14	,	,	PUNCT
easat-10990	19	15	driving	drive	VERB
easat-10990	19	16	recurrence	recurrence	NOUN
easat-10990	19	17	and	and	CCONJ
easat-10990	19	18	limiting	limit	VERB
easat-10990	19	19	the	the	DET
easat-10990	19	20	effectiveness	effectiveness	NOUN
easat-10990	19	21	of	of	ADP
easat-10990	19	22	surgery	surgery	NOUN
easat-10990	19	23	and	and	CCONJ
easat-10990	19	24	focal	focal	ADJ
easat-10990	19	25	therapies	therapy	NOUN
easat-10990	19	26	such	such	ADJ
easat-10990	19	27	as	as	ADP
easat-10990	19	28	radiation	radiation	NOUN
easat-10990	19	29	[	[	X
easat-10990	19	30	1	1	NUM
easat-10990	19	31	-	-	SYM
easat-10990	19	32	4	4	NUM
easat-10990	19	33	]	]	PUNCT
easat-10990	19	34	.	.	PUNCT
easat-10990	20	1	accurately	accurately	ADV
easat-10990	20	2	predicting	predict	VERB
easat-10990	20	3	how	how	SCONJ
easat-10990	20	4	these	these	DET
easat-10990	20	5	tumours	tumour	NOUN
easat-10990	20	6	grow	grow	VERB
easat-10990	20	7	and	and	CCONJ
easat-10990	20	8	invade	invade	VERB
easat-10990	20	9	brain	brain	NOUN
easat-10990	20	10	tissue	tissue	NOUN
easat-10990	20	11	is	be	AUX
easat-10990	20	12	therefore	therefore	ADV
easat-10990	20	13	critical	critical	ADJ
easat-10990	20	14	for	for	ADP
easat-10990	20	15	patient	patient	ADJ
easat-10990	20	16	prognosis	prognosis	NOUN
easat-10990	20	17	and	and	CCONJ
easat-10990	20	18	treatment	treatment	NOUN
easat-10990	20	19	planning	planning	NOUN
easat-10990	20	20	.	.	PUNCT
easat-10990	21	1	mathematical	mathematical	ADJ
easat-10990	21	2	modelling	modelling	NOUN
easat-10990	21	3	has	have	AUX
easat-10990	21	4	become	become	VERB
easat-10990	21	5	an	an	DET
easat-10990	21	6	essential	essential	ADJ
easat-10990	21	7	tool	tool	NOUN
easat-10990	21	8	for	for	ADP
easat-10990	21	9	capturing	capture	VERB
easat-10990	21	10	this	this	DET
easat-10990	21	11	complex	complex	ADJ
easat-10990	21	12	biological	biological	ADJ
easat-10990	21	13	behaviour	behaviour	NOUN
easat-10990	21	14	.	.	PUNCT
easat-10990	22	1	among	among	ADP
easat-10990	22	2	the	the	DET
easat-10990	22	3	various	various	ADJ
easat-10990	22	4	approaches	approach	NOUN
easat-10990	22	5	developed	develop	VERB
easat-10990	22	6	over	over	ADP
easat-10990	22	7	the	the	DET
easat-10990	22	8	past	past	ADJ
easat-10990	22	9	three	three	NUM
easat-10990	22	10	decades	decade	NOUN
easat-10990	22	11	,	,	PUNCT
easat-10990	22	12	the	the	DET
easat-10990	22	13	swanson	swanson	PROPN
easat-10990	22	14	reaction	reaction	NOUN
easat-10990	22	15	–	–	PUNCT
easat-10990	22	16	diffusion	diffusion	NOUN
easat-10990	22	17	framework	framework	NOUN
easat-10990	22	18	stands	stand	VERB
easat-10990	22	19	out	out	ADP
easat-10990	22	20	as	as	ADP
easat-10990	22	21	one	one	NUM
easat-10990	22	22	of	of	ADP
easat-10990	22	23	the	the	DET
easat-10990	22	24	most	most	ADV
easat-10990	22	25	influential	influential	ADJ
easat-10990	22	26	and	and	CCONJ
easat-10990	22	27	clinically	clinically	ADV
easat-10990	22	28	relevant	relevant	ADJ
easat-10990	22	29	[	[	X
easat-10990	22	30	5	5	NUM
easat-10990	22	31	-	-	SYM
easat-10990	22	32	7	7	NUM
easat-10990	22	33	]	]	PUNCT
easat-10990	22	34	.	.	PUNCT
easat-10990	23	1	this	this	DET
easat-10990	23	2	model	model	NOUN
easat-10990	23	3	combines	combine	VERB
easat-10990	23	4	two	two	NUM
easat-10990	23	5	key	key	ADJ
easat-10990	23	6	processes	process	NOUN
easat-10990	23	7	that	that	PRON
easat-10990	23	8	define	define	VERB
easat-10990	23	9	glioma	glioma	NOUN
easat-10990	23	10	progression	progression	NOUN
easat-10990	23	11	:	:	PUNCT
easat-10990	23	12	the	the	DET
easat-10990	23	13	random	random	ADJ
easat-10990	23	14	migration	migration	NOUN
easat-10990	23	15	of	of	ADP
easat-10990	23	16	cancer	cancer	NOUN
easat-10990	23	17	cells	cell	NOUN
easat-10990	23	18	through	through	ADP
easat-10990	23	19	heterogeneous	heterogeneous	ADJ
easat-10990	23	20	brain	brain	NOUN
easat-10990	23	21	structures	structure	NOUN
easat-10990	23	22	and	and	CCONJ
easat-10990	23	23	their	their	PRON
easat-10990	23	24	continuous	continuous	ADJ
easat-10990	23	25	proliferation	proliferation	NOUN
easat-10990	23	26	.	.	PUNCT
easat-10990	24	1	by	by	ADP
easat-10990	24	2	framing	frame	VERB
easat-10990	24	3	tumour	tumour	NOUN
easat-10990	24	4	growth	growth	NOUN
easat-10990	24	5	https://orcid.org/0000-0002-9538-6588	https://orcid.org/0000-0002-9538-6588	NOUN
easat-10990	24	6	https://orcid.org/0000-0002-5025-4688	https://orcid.org/0000-0002-5025-4688	VERB
easat-10990	24	7	https://orcid.org/0000-0002-1195-0955	https://orcid.org/0000-0002-1195-0955	PROPN
easat-10990	24	8	https://orcid.org/0000-0003-3061-8162	https://orcid.org/0000-0003-3061-8162	PROPN
easat-10990	24	9	https://orcid.org/0000-0002-5558-5929	https://orcid.org/0000-0002-5558-5929	VERB
easat-10990	24	10	767	767	NUM
easat-10990	24	11	edelweiss	edelweiss	PROPN
easat-10990	24	12	applied	apply	VERB
easat-10990	24	13	science	science	NOUN
easat-10990	24	14	and	and	CCONJ
easat-10990	24	15	technology	technology	NOUN
easat-10990	24	16	issn	issn	PROPN
easat-10990	24	17	:	:	PUNCT
easat-10990	24	18	2576	2576	NUM
easat-10990	24	19	-	-	SYM
easat-10990	24	20	8484	8484	NUM
easat-10990	24	21	vol	vol	NOUN
easat-10990	24	22	.	.	PROPN
easat-10990	25	1	9	9	NUM
easat-10990	25	2	,	,	PUNCT
easat-10990	25	3	no	no	INTJ
easat-10990	25	4	.	.	NOUN
easat-10990	25	5	11	11	NUM
easat-10990	25	6	:	:	PUNCT
easat-10990	25	7	766	766	NUM
easat-10990	25	8	-	-	SYM
easat-10990	25	9	776	776	NUM
easat-10990	25	10	,	,	PUNCT
easat-10990	25	11	2025	2025	NUM
easat-10990	25	12	doi	doi	NOUN
easat-10990	25	13	:	:	PUNCT
easat-10990	25	14	10.55214/2576	10.55214/2576	NUM
easat-10990	25	15	-	-	SYM
easat-10990	25	16	8484.v9i11.10990	8484.v9i11.10990	NUM
easat-10990	25	17	©	©	PROPN
easat-10990	25	18	2025	2025	NUM
easat-10990	25	19	by	by	ADP
easat-10990	25	20	the	the	DET
easat-10990	25	21	authors	author	NOUN
easat-10990	25	22	;	;	PUNCT
easat-10990	25	23	licensee	licensee	PROPN
easat-10990	25	24	learning	learning	NOUN
easat-10990	25	25	gate	gate	NOUN
easat-10990	25	26	as	as	ADP
easat-10990	25	27	a	a	DET
easat-10990	25	28	reaction	reaction	NOUN
easat-10990	25	29	–	–	PUNCT
easat-10990	25	30	diffusion	diffusion	NOUN
easat-10990	25	31	process	process	NOUN
easat-10990	25	32	,	,	PUNCT
easat-10990	25	33	the	the	DET
easat-10990	25	34	swanson	swanson	PROPN
easat-10990	25	35	approach	approach	NOUN
easat-10990	25	36	bridges	bridge	NOUN
easat-10990	25	37	biology	biology	NOUN
easat-10990	25	38	and	and	CCONJ
easat-10990	25	39	mathematics	mathematic	NOUN
easat-10990	25	40	,	,	PUNCT
easat-10990	25	41	enabling	enable	VERB
easat-10990	25	42	researchers	researcher	NOUN
easat-10990	25	43	to	to	PART
easat-10990	25	44	estimate	estimate	VERB
easat-10990	25	45	invasion	invasion	NOUN
easat-10990	25	46	rates	rate	NOUN
easat-10990	25	47	,	,	PUNCT
easat-10990	25	48	forecast	forecast	VERB
easat-10990	25	49	tumour	tumour	NOUN
easat-10990	25	50	spread	spread	VERB
easat-10990	25	51	visible	visible	ADJ
easat-10990	25	52	on	on	ADP
easat-10990	25	53	imaging	imaging	NOUN
easat-10990	25	54	,	,	PUNCT
easat-10990	25	55	and	and	CCONJ
easat-10990	25	56	even	even	ADV
easat-10990	25	57	personalize	personalize	VERB
easat-10990	25	58	treatment	treatment	NOUN
easat-10990	25	59	strategies	strategy	NOUN
easat-10990	25	60	based	base	VERB
easat-10990	25	61	on	on	ADP
easat-10990	25	62	patient	patient	NOUN
easat-10990	25	63	-	-	PUNCT
easat-10990	25	64	specific	specific	ADJ
easat-10990	25	65	imaging	imaging	NOUN
easat-10990	25	66	data	datum	NOUN
easat-10990	25	67	[	[	X
easat-10990	25	68	8	8	NUM
easat-10990	25	69	-	-	SYM
easat-10990	25	70	11	11	NUM
easat-10990	25	71	]	]	PUNCT
easat-10990	25	72	.	.	PUNCT
easat-10990	26	1	implementing	implement	VERB
easat-10990	26	2	the	the	DET
easat-10990	26	3	swanson	swanson	PROPN
easat-10990	26	4	model	model	NOUN
easat-10990	26	5	in	in	ADP
easat-10990	26	6	realistic	realistic	ADJ
easat-10990	26	7	three	three	NUM
easat-10990	26	8	-	-	PUNCT
easat-10990	26	9	dimensional	dimensional	ADJ
easat-10990	26	10	geometries	geometry	NOUN
easat-10990	26	11	requires	require	VERB
easat-10990	26	12	discretizing	discretize	VERB
easat-10990	26	13	the	the	DET
easat-10990	26	14	governing	govern	VERB
easat-10990	26	15	partial	partial	ADJ
easat-10990	26	16	differential	differential	ADJ
easat-10990	26	17	equation	equation	NOUN
easat-10990	26	18	into	into	ADP
easat-10990	26	19	a	a	DET
easat-10990	26	20	large	large	ADJ
easat-10990	26	21	,	,	PUNCT
easat-10990	26	22	sparse	sparse	ADJ
easat-10990	26	23	system	system	NOUN
easat-10990	26	24	of	of	ADP
easat-10990	26	25	algebraic	algebraic	ADJ
easat-10990	26	26	equations	equation	NOUN
easat-10990	26	27	that	that	PRON
easat-10990	26	28	must	must	AUX
easat-10990	26	29	be	be	AUX
easat-10990	26	30	solved	solve	VERB
easat-10990	26	31	efficiently	efficiently	ADV
easat-10990	26	32	at	at	ADP
easat-10990	26	33	every	every	DET
easat-10990	26	34	time	time	NOUN
easat-10990	26	35	step	step	NOUN
easat-10990	26	36	[	[	X
easat-10990	26	37	12	12	NUM
easat-10990	26	38	-	-	SYM
easat-10990	26	39	14	14	NUM
easat-10990	26	40	]	]	PUNCT
easat-10990	26	41	.	.	PUNCT
easat-10990	27	1	iterative	iterative	PROPN
easat-10990	27	2	solvers	solver	NOUN
easat-10990	27	3	are	be	AUX
easat-10990	27	4	the	the	DET
easat-10990	27	5	workhorses	workhorse	NOUN
easat-10990	27	6	for	for	ADP
easat-10990	27	7	these	these	DET
easat-10990	27	8	systems	system	NOUN
easat-10990	27	9	.	.	PUNCT
easat-10990	28	1	classical	classical	ADJ
easat-10990	28	2	gauss	gauss	PROPN
easat-10990	28	3	–	–	PUNCT
easat-10990	28	4	seidel	seidel	PROPN
easat-10990	28	5	(	(	PUNCT
easat-10990	28	6	gs	gs	NOUN
easat-10990	28	7	)	)	PUNCT
easat-10990	28	8	iteration	iteration	NOUN
easat-10990	28	9	is	be	AUX
easat-10990	28	10	widely	widely	ADV
easat-10990	28	11	used	use	VERB
easat-10990	28	12	because	because	SCONJ
easat-10990	28	13	of	of	ADP
easat-10990	28	14	its	its	PRON
easat-10990	28	15	simplicity	simplicity	NOUN
easat-10990	28	16	and	and	CCONJ
easat-10990	28	17	guaranteed	guarantee	VERB
easat-10990	28	18	convergence	convergence	NOUN
easat-10990	28	19	for	for	ADP
easat-10990	28	20	symmetric	symmetric	ADJ
easat-10990	28	21	positive	positive	ADJ
easat-10990	28	22	definite	definite	ADJ
easat-10990	28	23	matrices	matrix	NOUN
easat-10990	28	24	,	,	PUNCT
easat-10990	28	25	but	but	CCONJ
easat-10990	28	26	its	its	PRON
easat-10990	28	27	rate	rate	NOUN
easat-10990	28	28	of	of	ADP
easat-10990	28	29	convergence	convergence	NOUN
easat-10990	28	30	can	can	AUX
easat-10990	28	31	be	be	AUX
easat-10990	28	32	slow	slow	ADJ
easat-10990	28	33	for	for	ADP
easat-10990	28	34	the	the	DET
easat-10990	28	35	strongly	strongly	ADV
easat-10990	28	36	coupled	couple	VERB
easat-10990	28	37	diffusion	diffusion	NOUN
easat-10990	28	38	–	–	PUNCT
easat-10990	28	39	reaction	reaction	NOUN
easat-10990	28	40	matrices	matrix	NOUN
easat-10990	28	41	typical	typical	ADJ
easat-10990	28	42	of	of	ADP
easat-10990	28	43	tumour	tumour	NOUN
easat-10990	28	44	simulations	simulation	NOUN
easat-10990	28	45	[	[	X
easat-10990	28	46	15	15	NUM
easat-10990	28	47	,	,	PUNCT
easat-10990	28	48	16	16	NUM
easat-10990	28	49	]	]	PUNCT
easat-10990	28	50	.	.	PUNCT
easat-10990	29	1	to	to	PART
easat-10990	29	2	accelerate	accelerate	VERB
easat-10990	29	3	convergence	convergence	NOUN
easat-10990	29	4	while	while	SCONJ
easat-10990	29	5	retaining	retain	VERB
easat-10990	29	6	the	the	DET
easat-10990	29	7	low	low	ADJ
easat-10990	29	8	memory	memory	NOUN
easat-10990	29	9	footprint	footprint	NOUN
easat-10990	29	10	of	of	ADP
easat-10990	29	11	gs	gs	NOUN
easat-10990	29	12	,	,	PUNCT
easat-10990	29	13	the	the	DET
easat-10990	29	14	kaudd	kaudd	PROPN
easat-10990	29	15	successive	successive	ADJ
easat-10990	29	16	over	over	ADP
easat-10990	29	17	-	-	PUNCT
easat-10990	29	18	relaxation	relaxation	NOUN
easat-10990	29	19	(	(	PUNCT
easat-10990	29	20	ksor	ksor	NOUN
easat-10990	29	21	)	)	PUNCT
easat-10990	29	22	method	method	NOUN
easat-10990	29	23	has	have	AUX
easat-10990	29	24	recently	recently	ADV
easat-10990	29	25	been	be	AUX
easat-10990	29	26	proposed	propose	VERB
easat-10990	29	27	as	as	ADP
easat-10990	29	28	a	a	DET
easat-10990	29	29	hybrid	hybrid	ADJ
easat-10990	29	30	strategy	strategy	NOUN
easat-10990	29	31	that	that	PRON
easat-10990	29	32	blends	blend	VERB
easat-10990	29	33	row	row	NOUN
easat-10990	29	34	-	-	PUNCT
easat-10990	29	35	projection	projection	NOUN
easat-10990	29	36	ideas	idea	NOUN
easat-10990	29	37	of	of	ADP
easat-10990	29	38	the	the	DET
easat-10990	29	39	kaczmarz	kaczmarz	PROPN
easat-10990	29	40	method	method	NOUN
easat-10990	29	41	with	with	ADP
easat-10990	29	42	the	the	DET
easat-10990	29	43	relaxation	relaxation	NOUN
easat-10990	29	44	dynamics	dynamic	NOUN
easat-10990	29	45	of	of	ADP
easat-10990	29	46	sor	sor	NOUN
easat-10990	29	47	[	[	X
easat-10990	29	48	17	17	NUM
easat-10990	29	49	,	,	PUNCT
easat-10990	29	50	18	18	NUM
easat-10990	29	51	]	]	PUNCT
easat-10990	29	52	.	.	PUNCT
easat-10990	30	1	by	by	ADP
easat-10990	30	2	introducing	introduce	VERB
easat-10990	30	3	a	a	DET
easat-10990	30	4	tunable	tunable	ADJ
easat-10990	30	5	underrelaxation	underrelaxation	NOUN
easat-10990	30	6	factor	factor	NOUN
easat-10990	30	7	,	,	PUNCT
easat-10990	30	8	ksor	ksor	NOUN
easat-10990	30	9	improves	improve	VERB
easat-10990	30	10	stability	stability	NOUN
easat-10990	30	11	and	and	CCONJ
easat-10990	30	12	can	can	AUX
easat-10990	30	13	outperform	outperform	VERB
easat-10990	30	14	classical	classical	ADJ
easat-10990	30	15	sor	sor	NOUN
easat-10990	30	16	and	and	CCONJ
easat-10990	30	17	gs	gs	X
easat-10990	30	18	on	on	ADP
easat-10990	30	19	large	large	ADJ
easat-10990	30	20	sparse	sparse	ADJ
easat-10990	30	21	diffusion	diffusion	NOUN
easat-10990	30	22	-	-	PUNCT
easat-10990	30	23	type	type	NOUN
easat-10990	30	24	problems	problem	NOUN
easat-10990	30	25	,	,	PUNCT
easat-10990	30	26	reducing	reduce	VERB
easat-10990	30	27	iteration	iteration	NOUN
easat-10990	30	28	counts	count	NOUN
easat-10990	30	29	and	and	CCONJ
easat-10990	30	30	accelerating	accelerate	VERB
easat-10990	30	31	residual	residual	ADJ
easat-10990	30	32	decay	decay	NOUN
easat-10990	30	33	[	[	X
easat-10990	30	34	19	19	NUM
easat-10990	30	35	,	,	PUNCT
easat-10990	30	36	20	20	NUM
easat-10990	30	37	]	]	PUNCT
easat-10990	30	38	.	.	PUNCT
easat-10990	31	1	motivated	motivate	VERB
easat-10990	31	2	by	by	ADP
easat-10990	31	3	these	these	DET
easat-10990	31	4	developments	development	NOUN
easat-10990	31	5	,	,	PUNCT
easat-10990	31	6	the	the	DET
easat-10990	31	7	present	present	ADJ
easat-10990	31	8	study	study	NOUN
easat-10990	31	9	applies	apply	VERB
easat-10990	31	10	the	the	DET
easat-10990	31	11	swanson	swanson	PROPN
easat-10990	31	12	reaction	reaction	NOUN
easat-10990	31	13	–	–	PUNCT
easat-10990	31	14	diffusion	diffusion	NOUN
easat-10990	31	15	model	model	NOUN
easat-10990	31	16	and	and	CCONJ
easat-10990	31	17	performs	perform	VERB
easat-10990	31	18	a	a	DET
easat-10990	31	19	systematic	systematic	ADJ
easat-10990	31	20	numerical	numerical	ADJ
easat-10990	31	21	comparison	comparison	NOUN
easat-10990	31	22	of	of	ADP
easat-10990	31	23	gs	gs	PROPN
easat-10990	31	24	versus	versus	ADP
easat-10990	31	25	ksor	ksor	NOUN
easat-10990	31	26	for	for	ADP
easat-10990	31	27	solving	solve	VERB
easat-10990	31	28	the	the	DET
easat-10990	31	29	resulting	result	VERB
easat-10990	31	30	largescale	largescale	NOUN
easat-10990	31	31	discretized	discretize	VERB
easat-10990	31	32	system	system	NOUN
easat-10990	31	33	.	.	PUNCT
easat-10990	32	1	building	build	VERB
easat-10990	32	2	on	on	ADP
easat-10990	32	3	prior	prior	ADJ
easat-10990	32	4	evidence	evidence	NOUN
easat-10990	32	5	of	of	ADP
easat-10990	32	6	efficiency	efficiency	NOUN
easat-10990	32	7	gains	gain	NOUN
easat-10990	32	8	from	from	ADP
easat-10990	32	9	kaczmarz	kaczmarz	NOUN
easat-10990	32	10	-	-	PUNCT
easat-10990	32	11	inspired	inspire	VERB
easat-10990	32	12	relaxation	relaxation	NOUN
easat-10990	32	13	,	,	PUNCT
easat-10990	32	14	we	we	PRON
easat-10990	32	15	hypothesize	hypothesize	VERB
easat-10990	32	16	that	that	DET
easat-10990	32	17	kauddsor	kauddsor	NOUN
easat-10990	32	18	will	will	AUX
easat-10990	32	19	deliver	deliver	VERB
easat-10990	32	20	superior	superior	ADJ
easat-10990	32	21	performance	performance	NOUN
easat-10990	32	22	relative	relative	ADJ
easat-10990	32	23	to	to	ADP
easat-10990	32	24	gs	gs	PROPN
easat-10990	32	25	in	in	ADP
easat-10990	32	26	terms	term	NOUN
easat-10990	32	27	of	of	ADP
easat-10990	32	28	iteration	iteration	NOUN
easat-10990	32	29	count	count	NOUN
easat-10990	32	30	,	,	PUNCT
easat-10990	32	31	residual	residual	ADJ
easat-10990	32	32	reduction	reduction	NOUN
easat-10990	32	33	,	,	PUNCT
easat-10990	32	34	and	and	CCONJ
easat-10990	32	35	overall	overall	ADJ
easat-10990	32	36	computational	computational	ADJ
easat-10990	32	37	time	time	NOUN
easat-10990	32	38	,	,	PUNCT
easat-10990	32	39	thereby	thereby	ADV
easat-10990	32	40	enhancing	enhance	VERB
easat-10990	32	41	the	the	DET
easat-10990	32	42	feasibility	feasibility	NOUN
easat-10990	32	43	of	of	ADP
easat-10990	32	44	patient	patient	NOUN
easat-10990	32	45	-	-	PUNCT
easat-10990	32	46	specific	specific	ADJ
easat-10990	32	47	glioma	glioma	NOUN
easat-10990	32	48	growth	growth	NOUN
easat-10990	32	49	simulations	simulation	NOUN
easat-10990	32	50	.	.	PUNCT
easat-10990	33	1	2	2	X
easat-10990	33	2	.	.	X
easat-10990	33	3	mathematical	mathematical	ADJ
easat-10990	33	4	modelling	model	VERB
easat-10990	33	5	the	the	DET
easat-10990	33	6	progression	progression	NOUN
easat-10990	33	7	of	of	ADP
easat-10990	33	8	brain	brain	NOUN
easat-10990	33	9	tumours	tumour	NOUN
easat-10990	33	10	,	,	PUNCT
easat-10990	33	11	particularly	particularly	ADV
easat-10990	33	12	diffuse	diffuse	ADJ
easat-10990	33	13	gliomas	glioma	NOUN
easat-10990	33	14	,	,	PUNCT
easat-10990	33	15	is	be	AUX
easat-10990	33	16	characterized	characterize	VERB
easat-10990	33	17	by	by	ADP
easat-10990	33	18	two	two	NUM
easat-10990	33	19	fundamental	fundamental	ADJ
easat-10990	33	20	processes	process	NOUN
easat-10990	33	21	:	:	PUNCT
easat-10990	33	22	cell	cell	NOUN
easat-10990	33	23	migration	migration	NOUN
easat-10990	33	24	into	into	ADP
easat-10990	33	25	surrounding	surround	VERB
easat-10990	33	26	brain	brain	NOUN
easat-10990	33	27	tissue	tissue	NOUN
easat-10990	33	28	and	and	CCONJ
easat-10990	33	29	cell	cell	NOUN
easat-10990	33	30	proliferation	proliferation	NOUN
easat-10990	33	31	that	that	PRON
easat-10990	33	32	increases	increase	VERB
easat-10990	33	33	tumour	tumour	PRON
easat-10990	33	34	mass	mass	NOUN
easat-10990	33	35	.	.	PUNCT
easat-10990	34	1	capturing	capture	VERB
easat-10990	34	2	both	both	DET
easat-10990	34	3	behaviours	behaviour	NOUN
easat-10990	34	4	within	within	ADP
easat-10990	34	5	a	a	DET
easat-10990	34	6	single	single	ADJ
easat-10990	34	7	mathematical	mathematical	ADJ
easat-10990	34	8	framework	framework	NOUN
easat-10990	34	9	has	have	AUX
easat-10990	34	10	long	long	ADV
easat-10990	34	11	been	be	AUX
easat-10990	34	12	a	a	DET
easat-10990	34	13	challenge	challenge	NOUN
easat-10990	34	14	in	in	ADP
easat-10990	34	15	oncology	oncology	NOUN
easat-10990	34	16	research	research	NOUN
easat-10990	34	17	.	.	PUNCT
easat-10990	35	1	many	many	ADJ
easat-10990	35	2	early	early	ADJ
easat-10990	35	3	models	model	NOUN
easat-10990	35	4	either	either	CCONJ
easat-10990	35	5	focused	focus	VERB
easat-10990	35	6	solely	solely	ADV
easat-10990	35	7	on	on	ADP
easat-10990	35	8	proliferation	proliferation	NOUN
easat-10990	35	9	,	,	PUNCT
easat-10990	35	10	ignoring	ignore	VERB
easat-10990	35	11	spatial	spatial	ADJ
easat-10990	35	12	spread	spread	NOUN
easat-10990	35	13	,	,	PUNCT
easat-10990	35	14	or	or	CCONJ
easat-10990	35	15	emphasized	emphasize	VERB
easat-10990	35	16	diffusion	diffusion	NOUN
easat-10990	35	17	while	while	SCONJ
easat-10990	35	18	overlooking	overlook	VERB
easat-10990	35	19	the	the	DET
easat-10990	35	20	biological	biological	ADJ
easat-10990	35	21	reality	reality	NOUN
easat-10990	35	22	of	of	ADP
easat-10990	35	23	exponential	exponential	ADJ
easat-10990	35	24	tumour	tumour	NOUN
easat-10990	35	25	cell	cell	NOUN
easat-10990	35	26	growth	growth	NOUN
easat-10990	35	27	[	[	X
easat-10990	35	28	19	19	NUM
easat-10990	35	29	,	,	PUNCT
easat-10990	35	30	20	20	NUM
easat-10990	35	31	]	]	PUNCT
easat-10990	35	32	.	.	PUNCT
easat-10990	36	1	a	a	DET
easat-10990	36	2	breakthrough	breakthrough	NOUN
easat-10990	36	3	occurred	occur	VERB
easat-10990	36	4	when	when	SCONJ
easat-10990	36	5	swanson	swanson	PROPN
easat-10990	36	6	and	and	CCONJ
easat-10990	36	7	colleagues	colleague	NOUN
easat-10990	36	8	introduced	introduce	VERB
easat-10990	36	9	a	a	DET
easat-10990	36	10	reaction	reaction	NOUN
easat-10990	36	11	–	–	PUNCT
easat-10990	36	12	diffusion	diffusion	NOUN
easat-10990	36	13	model	model	NOUN
easat-10990	36	14	that	that	PRON
easat-10990	36	15	elegantly	elegantly	ADV
easat-10990	36	16	balances	balance	VERB
easat-10990	36	17	these	these	DET
easat-10990	36	18	two	two	NUM
easat-10990	36	19	aspects	aspect	NOUN
easat-10990	36	20	[	[	X
easat-10990	36	21	5	5	NUM
easat-10990	36	22	]	]	PUNCT
easat-10990	36	23	.	.	PUNCT
easat-10990	37	1	the	the	DET
easat-10990	37	2	idea	idea	NOUN
easat-10990	37	3	is	be	AUX
easat-10990	37	4	simple	simple	ADJ
easat-10990	37	5	yet	yet	ADV
easat-10990	37	6	powerful	powerful	ADJ
easat-10990	37	7	:	:	PUNCT
easat-10990	37	8	treat	treat	VERB
easat-10990	37	9	tumour	tumour	NOUN
easat-10990	37	10	cells	cell	NOUN
easat-10990	37	11	as	as	ADP
easat-10990	37	12	a	a	DET
easat-10990	37	13	population	population	NOUN
easat-10990	37	14	that	that	PRON
easat-10990	37	15	not	not	PART
easat-10990	37	16	only	only	ADV
easat-10990	37	17	grows	grow	VERB
easat-10990	37	18	in	in	ADP
easat-10990	37	19	number	number	NOUN
easat-10990	37	20	but	but	CCONJ
easat-10990	37	21	also	also	ADV
easat-10990	37	22	disperses	disperse	VERB
easat-10990	37	23	randomly	randomly	ADV
easat-10990	37	24	,	,	PUNCT
easat-10990	37	25	much	much	ADJ
easat-10990	37	26	like	like	ADP
easat-10990	37	27	particles	particle	NOUN
easat-10990	37	28	diffusing	diffuse	VERB
easat-10990	37	29	in	in	ADP
easat-10990	37	30	a	a	DET
easat-10990	37	31	medium	medium	NOUN
easat-10990	37	32	.	.	PUNCT
easat-10990	38	1	this	this	DET
easat-10990	38	2	perspective	perspective	NOUN
easat-10990	38	3	transforms	transform	VERB
easat-10990	38	4	tumour	tumour	PRON
easat-10990	38	5	progression	progression	NOUN
easat-10990	38	6	into	into	ADP
easat-10990	38	7	a	a	DET
easat-10990	38	8	problem	problem	NOUN
easat-10990	38	9	familiar	familiar	ADJ
easat-10990	38	10	to	to	ADP
easat-10990	38	11	applied	apply	VERB
easat-10990	38	12	mathematicians	mathematician	NOUN
easat-10990	38	13	,	,	PUNCT
easat-10990	38	14	the	the	DET
easat-10990	38	15	study	study	NOUN
easat-10990	38	16	of	of	ADP
easat-10990	38	17	partial	partial	ADJ
easat-10990	38	18	differential	differential	ADJ
easat-10990	38	19	equations	equation	NOUN
easat-10990	38	20	(	(	PUNCT
easat-10990	38	21	pdes	pde	NOUN
easat-10990	38	22	)	)	PUNCT
easat-10990	38	23	that	that	PRON
easat-10990	38	24	combine	combine	VERB
easat-10990	38	25	diffusion	diffusion	NOUN
easat-10990	38	26	with	with	ADP
easat-10990	38	27	growth	growth	NOUN
easat-10990	38	28	terms	term	NOUN
easat-10990	38	29	.	.	PUNCT
easat-10990	39	1	this	this	DET
easat-10990	39	2	modelling	modelling	NOUN
easat-10990	39	3	paradigm	paradigm	NOUN
easat-10990	39	4	has	have	AUX
easat-10990	39	5	since	since	SCONJ
easat-10990	39	6	become	become	VERB
easat-10990	39	7	a	a	DET
easat-10990	39	8	cornerstone	cornerstone	NOUN
easat-10990	39	9	in	in	ADP
easat-10990	39	10	the	the	DET
easat-10990	39	11	field	field	NOUN
easat-10990	39	12	of	of	ADP
easat-10990	39	13	mathematical	mathematical	ADJ
easat-10990	39	14	oncology	oncology	NOUN
easat-10990	39	15	[	[	X
easat-10990	39	16	6	6	NUM
easat-10990	39	17	,	,	PUNCT
easat-10990	39	18	10	10	NUM
easat-10990	39	19	,	,	PUNCT
easat-10990	39	20	21	21	NUM
easat-10990	39	21	]	]	PUNCT
easat-10990	39	22	.	.	PUNCT
easat-10990	40	1	the	the	DET
easat-10990	40	2	swanson	swanson	PROPN
easat-10990	40	3	model	model	NOUN
easat-10990	40	4	is	be	AUX
easat-10990	40	5	expressed	express	VERB
easat-10990	40	6	as	as	ADP
easat-10990	40	7	:	:	PUNCT
easat-10990	40	8	(	(	PUNCT
easat-10990	40	9	1	1	X
easat-10990	40	10	)	)	PUNCT
easat-10990	40	11	where	where	SCONJ
easat-10990	40	12	c(x	c(x	NOUN
easat-10990	40	13	,	,	PUNCT
easat-10990	40	14	y	y	PROPN
easat-10990	40	15	,	,	PUNCT
easat-10990	40	16	t	t	PROPN
easat-10990	40	17	)	)	PUNCT
easat-10990	40	18	denotes	denote	VERB
easat-10990	40	19	the	the	DET
easat-10990	40	20	local	local	ADJ
easat-10990	40	21	tumour	tumour	NOUN
easat-10990	40	22	cell	cell	NOUN
easat-10990	40	23	density	density	NOUN
easat-10990	40	24	at	at	ADP
easat-10990	40	25	position	position	NOUN
easat-10990	40	26	(	(	PUNCT
easat-10990	40	27	x	x	NOUN
easat-10990	40	28	,	,	PUNCT
easat-10990	40	29	y	y	PROPN
easat-10990	40	30	)	)	PUNCT
easat-10990	40	31	and	and	CCONJ
easat-10990	40	32	time	time	NOUN
easat-10990	40	33	t	t	PROPN
easat-10990	40	34	,	,	PUNCT
easat-10990	40	35	d	d	PROPN
easat-10990	40	36	is	be	AUX
easat-10990	40	37	the	the	DET
easat-10990	40	38	diffusion	diffusion	NOUN
easat-10990	40	39	coefficient	coefficient	NOUN
easat-10990	40	40	,	,	PUNCT
easat-10990	40	41	reflecting	reflect	VERB
easat-10990	40	42	the	the	DET
easat-10990	40	43	motility	motility	NOUN
easat-10990	40	44	of	of	ADP
easat-10990	40	45	glioma	glioma	NOUN
easat-10990	40	46	cells	cell	NOUN
easat-10990	40	47	through	through	ADP
easat-10990	40	48	brain	brain	NOUN
easat-10990	40	49	tissue	tissue	NOUN
easat-10990	40	50	,	,	PUNCT
easat-10990	40	51	ρ	ρ	PROPN
easat-10990	40	52	is	be	AUX
easat-10990	40	53	the	the	DET
easat-10990	40	54	net	net	ADJ
easat-10990	40	55	proliferation	proliferation	NOUN
easat-10990	40	56	rate	rate	NOUN
easat-10990	40	57	,	,	PUNCT
easat-10990	40	58	representing	represent	VERB
easat-10990	40	59	how	how	SCONJ
easat-10990	40	60	quickly	quickly	ADV
easat-10990	40	61	tumour	tumour	ADJ
easat-10990	40	62	cells	cell	NOUN
easat-10990	40	63	divide	divide	VERB
easat-10990	40	64	.	.	PUNCT
easat-10990	41	1	in	in	ADP
easat-10990	41	2	this	this	DET
easat-10990	41	3	formulation	formulation	NOUN
easat-10990	41	4	,	,	PUNCT
easat-10990	41	5	diffusion	diffusion	NOUN
easat-10990	41	6	accounts	account	NOUN
easat-10990	41	7	for	for	ADP
easat-10990	41	8	the	the	DET
easat-10990	41	9	invasive	invasive	ADJ
easat-10990	41	10	spread	spread	NOUN
easat-10990	41	11	of	of	ADP
easat-10990	41	12	tumour	tumour	NOUN
easat-10990	41	13	cells	cell	NOUN
easat-10990	41	14	into	into	ADP
easat-10990	41	15	healthy	healthy	ADJ
easat-10990	41	16	brain	brain	NOUN
easat-10990	41	17	regions	region	NOUN
easat-10990	41	18	,	,	PUNCT
easat-10990	41	19	while	while	SCONJ
easat-10990	41	20	proliferation	proliferation	NOUN
easat-10990	41	21	drives	drive	VERB
easat-10990	41	22	the	the	DET
easat-10990	41	23	exponential	exponential	ADJ
easat-10990	41	24	increase	increase	NOUN
easat-10990	41	25	in	in	ADP
easat-10990	41	26	tumour	tumour	NOUN
easat-10990	41	27	burden	burden	NOUN
easat-10990	41	28	.	.	PUNCT
easat-10990	42	1	together	together	ADV
easat-10990	42	2	,	,	PUNCT
easat-10990	42	3	they	they	PRON
easat-10990	42	4	create	create	VERB
easat-10990	42	5	a	a	DET
easat-10990	42	6	model	model	NOUN
easat-10990	42	7	capable	capable	ADJ
easat-10990	42	8	of	of	ADP
easat-10990	42	9	reproducing	reproduce	VERB
easat-10990	42	10	the	the	DET
easat-10990	42	11	outward	outward	ADV
easat-10990	42	12	-	-	PUNCT
easat-10990	42	13	moving	move	VERB
easat-10990	42	14	tumour	tumour	ADJ
easat-10990	42	15	front	front	NOUN
easat-10990	42	16	often	often	ADV
easat-10990	42	17	observed	observe	VERB
easat-10990	42	18	in	in	ADP
easat-10990	42	19	clinical	clinical	ADJ
easat-10990	42	20	imaging	imaging	NOUN
easat-10990	42	21	[	[	X
easat-10990	42	22	7	7	NUM
easat-10990	42	23	,	,	PUNCT
easat-10990	42	24	8	8	NUM
easat-10990	42	25	,	,	PUNCT
easat-10990	42	26	11	11	NUM
easat-10990	42	27	]	]	PUNCT
easat-10990	42	28	.	.	PUNCT
easat-10990	43	1	this	this	DET
easat-10990	43	2	capacity	capacity	NOUN
easat-10990	43	3	for	for	ADP
easat-10990	43	4	biological	biological	ADJ
easat-10990	43	5	realism	realism	NOUN
easat-10990	43	6	is	be	AUX
easat-10990	43	7	one	one	NUM
easat-10990	43	8	reason	reason	NOUN
easat-10990	43	9	the	the	DET
easat-10990	43	10	model	model	NOUN
easat-10990	43	11	has	have	AUX
easat-10990	43	12	been	be	AUX
easat-10990	43	13	widely	widely	ADV
easat-10990	43	14	used	use	VERB
easat-10990	43	15	for	for	ADP
easat-10990	43	16	predicting	predict	VERB
easat-10990	43	17	glioblastoma	glioblastoma	NOUN
easat-10990	43	18	progression	progression	NOUN
easat-10990	43	19	in	in	ADP
easat-10990	43	20	both	both	CCONJ
easat-10990	43	21	theoretical	theoretical	ADJ
easat-10990	43	22	studies	study	NOUN
easat-10990	43	23	and	and	CCONJ
easat-10990	43	24	patient	patient	NOUN
easat-10990	43	25	-	-	PUNCT
easat-10990	43	26	specific	specific	ADJ
easat-10990	43	27	simulations	simulation	NOUN
easat-10990	43	28	[	[	X
easat-10990	43	29	12	12	NUM
easat-10990	43	30	,	,	PUNCT
easat-10990	43	31	14	14	NUM
easat-10990	43	32	]	]	PUNCT
easat-10990	43	33	.	.	PUNCT
easat-10990	44	1	768	768	NUM
easat-10990	44	2	edelweiss	edelweiss	PROPN
easat-10990	44	3	applied	apply	VERB
easat-10990	44	4	science	science	NOUN
easat-10990	44	5	and	and	CCONJ
easat-10990	44	6	technology	technology	NOUN
easat-10990	44	7	issn	issn	PROPN
easat-10990	44	8	:	:	PUNCT
easat-10990	44	9	2576	2576	NUM
easat-10990	44	10	-	-	SYM
easat-10990	44	11	8484	8484	NUM
easat-10990	44	12	vol	vol	NOUN
easat-10990	44	13	.	.	PROPN
easat-10990	45	1	9	9	NUM
easat-10990	45	2	,	,	PUNCT
easat-10990	45	3	no	no	INTJ
easat-10990	45	4	.	.	NOUN
easat-10990	45	5	11	11	NUM
easat-10990	45	6	:	:	PUNCT
easat-10990	45	7	766	766	NUM
easat-10990	45	8	-	-	SYM
easat-10990	45	9	776	776	NUM
easat-10990	45	10	,	,	PUNCT
easat-10990	45	11	2025	2025	NUM
easat-10990	45	12	doi	doi	NOUN
easat-10990	45	13	:	:	PUNCT
easat-10990	45	14	10.55214/2576	10.55214/2576	NUM
easat-10990	45	15	-	-	SYM
easat-10990	45	16	8484.v9i11.10990	8484.v9i11.10990	NUM
easat-10990	45	17	©	©	PROPN
easat-10990	45	18	2025	2025	NUM
easat-10990	45	19	by	by	ADP
easat-10990	45	20	the	the	DET
easat-10990	45	21	authors	author	NOUN
easat-10990	45	22	;	;	PUNCT
easat-10990	45	23	licensee	licensee	PROPN
easat-10990	45	24	learning	learning	NOUN
easat-10990	45	25	gate	gate	NOUN
easat-10990	45	26	to	to	PART
easat-10990	45	27	ensure	ensure	VERB
easat-10990	45	28	biological	biological	ADJ
easat-10990	45	29	plausibility	plausibility	NOUN
easat-10990	45	30	,	,	PUNCT
easat-10990	45	31	appropriate	appropriate	ADJ
easat-10990	45	32	boundary	boundary	ADJ
easat-10990	45	33	conditions	condition	NOUN
easat-10990	45	34	are	be	AUX
easat-10990	45	35	imposed	impose	VERB
easat-10990	45	36	at	at	ADP
easat-10990	45	37	the	the	DET
easat-10990	45	38	edge	edge	NOUN
easat-10990	45	39	of	of	ADP
easat-10990	45	40	the	the	DET
easat-10990	45	41	brain	brain	NOUN
easat-10990	45	42	domain	domain	NOUN
easat-10990	45	43	ω	ω	NOUN
easat-10990	45	44	.	.	PUNCT
easat-10990	46	1	the	the	DET
easat-10990	46	2	most	most	ADV
easat-10990	46	3	common	common	ADJ
easat-10990	46	4	choice	choice	NOUN
easat-10990	46	5	is	be	AUX
easat-10990	46	6	the	the	DET
easat-10990	46	7	zero	zero	NUM
easat-10990	46	8	-	-	PUNCT
easat-10990	46	9	flux	flux	NOUN
easat-10990	46	10	(	(	PUNCT
easat-10990	46	11	neumann	neumann	PROPN
easat-10990	46	12	)	)	PUNCT
easat-10990	46	13	condition	condition	NOUN
easat-10990	46	14	,	,	PUNCT
easat-10990	46	15	which	which	PRON
easat-10990	46	16	assumes	assume	VERB
easat-10990	46	17	that	that	SCONJ
easat-10990	46	18	tumor	tumor	NOUN
easat-10990	46	19	cells	cell	NOUN
easat-10990	46	20	can	can	AUX
easat-10990	46	21	not	not	PART
easat-10990	46	22	cross	cross	VERB
easat-10990	46	23	the	the	DET
easat-10990	46	24	physical	physical	ADJ
easat-10990	46	25	boundary	boundary	NOUN
easat-10990	46	26	of	of	ADP
easat-10990	46	27	the	the	DET
easat-10990	46	28	brain	brain	NOUN
easat-10990	46	29	:	:	PUNCT
easat-10990	46	30	(	(	PUNCT
easat-10990	46	31	2	2	X
easat-10990	46	32	)	)	PUNCT
easat-10990	46	33	this	this	PRON
easat-10990	46	34	reflects	reflect	VERB
easat-10990	46	35	the	the	DET
easat-10990	46	36	anatomical	anatomical	ADJ
easat-10990	46	37	constraint	constraint	NOUN
easat-10990	46	38	that	that	SCONJ
easat-10990	46	39	the	the	DET
easat-10990	46	40	skull	skull	NOUN
easat-10990	46	41	acts	act	VERB
easat-10990	46	42	as	as	ADP
easat-10990	46	43	a	a	DET
easat-10990	46	44	natural	natural	ADJ
easat-10990	46	45	barrier	barrier	NOUN
easat-10990	46	46	,	,	PUNCT
easat-10990	46	47	preventing	prevent	VERB
easat-10990	46	48	tumour	tumour	ADJ
easat-10990	46	49	cells	cell	NOUN
easat-10990	46	50	from	from	ADP
easat-10990	46	51	escaping	escape	VERB
easat-10990	46	52	into	into	ADP
easat-10990	46	53	surrounding	surround	VERB
easat-10990	46	54	tissue	tissue	NOUN
easat-10990	46	55	[	[	X
easat-10990	46	56	6	6	NUM
easat-10990	46	57	]	]	PUNCT
easat-10990	46	58	.	.	PUNCT
easat-10990	47	1	with	with	ADP
easat-10990	47	2	this	this	DET
easat-10990	47	3	formulation	formulation	NOUN
easat-10990	47	4	,	,	PUNCT
easat-10990	47	5	the	the	DET
easat-10990	47	6	continuous	continuous	ADJ
easat-10990	47	7	pde	pde	NOUN
easat-10990	47	8	captures	capture	VERB
easat-10990	47	9	the	the	DET
easat-10990	47	10	essential	essential	ADJ
easat-10990	47	11	biology	biology	NOUN
easat-10990	47	12	of	of	ADP
easat-10990	47	13	glioma	glioma	ADJ
easat-10990	47	14	progression	progression	NOUN
easat-10990	47	15	in	in	ADP
easat-10990	47	16	a	a	DET
easat-10990	47	17	mathematically	mathematically	ADV
easat-10990	47	18	tractable	tractable	ADJ
easat-10990	47	19	framework	framework	NOUN
easat-10990	47	20	.	.	PUNCT
easat-10990	48	1	however	however	ADV
easat-10990	48	2	,	,	PUNCT
easat-10990	48	3	to	to	PART
easat-10990	48	4	simulate	simulate	VERB
easat-10990	48	5	the	the	DET
easat-10990	48	6	model	model	NOUN
easat-10990	48	7	numerically	numerically	ADV
easat-10990	48	8	,	,	PUNCT
easat-10990	48	9	the	the	DET
easat-10990	48	10	equation	equation	NOUN
easat-10990	48	11	must	must	AUX
easat-10990	48	12	be	be	AUX
easat-10990	48	13	discretized	discretize	VERB
easat-10990	48	14	.	.	PUNCT
easat-10990	49	1	the	the	DET
easat-10990	49	2	laplacian	laplacian	ADJ
easat-10990	49	3	operator	operator	NOUN
easat-10990	49	4	is	be	AUX
easat-10990	49	5	typically	typically	ADV
easat-10990	49	6	approximated	approximate	VERB
easat-10990	49	7	by	by	ADP
easat-10990	49	8	finite	finite	ADJ
easat-10990	49	9	difference	difference	NOUN
easat-10990	49	10	schemes	scheme	NOUN
easat-10990	49	11	,	,	PUNCT
easat-10990	49	12	transforming	transform	VERB
easat-10990	49	13	the	the	DET
easat-10990	49	14	pde	pde	NOUN
easat-10990	49	15	into	into	ADP
easat-10990	49	16	a	a	DET
easat-10990	49	17	large	large	ADJ
easat-10990	49	18	but	but	CCONJ
easat-10990	49	19	structured	structured	ADJ
easat-10990	49	20	system	system	NOUN
easat-10990	49	21	of	of	ADP
easat-10990	49	22	linear	linear	PROPN
easat-10990	49	23	equations	equation	NOUN
easat-10990	49	24	.	.	PUNCT
easat-10990	50	1	solving	solve	VERB
easat-10990	50	2	this	this	DET
easat-10990	50	3	system	system	NOUN
easat-10990	50	4	efficiently	efficiently	ADV
easat-10990	50	5	is	be	AUX
easat-10990	50	6	critical	critical	ADJ
easat-10990	50	7	,	,	PUNCT
easat-10990	50	8	particularly	particularly	ADV
easat-10990	50	9	in	in	ADP
easat-10990	50	10	three	three	NUM
easat-10990	50	11	-	-	PUNCT
easat-10990	50	12	dimensional	dimensional	ADJ
easat-10990	50	13	geometries	geometry	NOUN
easat-10990	50	14	and	and	CCONJ
easat-10990	50	15	high	high	ADJ
easat-10990	50	16	-	-	PUNCT
easat-10990	50	17	resolution	resolution	NOUN
easat-10990	50	18	grids	grid	NOUN
easat-10990	50	19	.	.	PUNCT
easat-10990	51	1	at	at	ADP
easat-10990	51	2	this	this	DET
easat-10990	51	3	stage	stage	NOUN
easat-10990	51	4	,	,	PUNCT
easat-10990	51	5	iterative	iterative	NOUN
easat-10990	51	6	solvers	solver	NOUN
easat-10990	51	7	such	such	ADJ
easat-10990	51	8	as	as	ADP
easat-10990	51	9	the	the	DET
easat-10990	51	10	gauss	gauss	PROPN
easat-10990	51	11	–	–	PUNCT
easat-10990	51	12	seidel	seidel	PROPN
easat-10990	51	13	and	and	CCONJ
easat-10990	51	14	red	red	ADJ
easat-10990	51	15	–	–	PUNCT
easat-10990	51	16	black	black	ADJ
easat-10990	51	17	gauss	gauss	NOUN
easat-10990	51	18	–	–	PUNCT
easat-10990	51	19	seidel	seidel	NOUN
easat-10990	51	20	methods	method	NOUN
easat-10990	51	21	play	play	VERB
easat-10990	51	22	a	a	DET
easat-10990	51	23	central	central	ADJ
easat-10990	51	24	role	role	NOUN
easat-10990	51	25	in	in	ADP
easat-10990	51	26	ensuring	ensure	VERB
easat-10990	51	27	computational	computational	ADJ
easat-10990	51	28	tractability	tractability	NOUN
easat-10990	51	29	[	[	X
easat-10990	51	30	15	15	NUM
easat-10990	51	31	,	,	PUNCT
easat-10990	51	32	17	17	NUM
easat-10990	51	33	,	,	PUNCT
easat-10990	51	34	22	22	NUM
easat-10990	51	35	]	]	PUNCT
easat-10990	51	36	.	.	PUNCT
easat-10990	52	1	3	3	X
easat-10990	52	2	.	.	X
easat-10990	52	3	derivation	derivation	NOUN
easat-10990	52	4	of	of	ADP
easat-10990	52	5	approximate	approximate	ADJ
easat-10990	52	6	equations	equation	NOUN
easat-10990	52	7	before	before	ADP
easat-10990	52	8	applying	apply	VERB
easat-10990	52	9	iterative	iterative	NOUN
easat-10990	52	10	solvers	solver	NOUN
easat-10990	52	11	,	,	PUNCT
easat-10990	52	12	the	the	DET
easat-10990	52	13	continuous	continuous	ADJ
easat-10990	52	14	fisher	fisher	PROPN
easat-10990	52	15	–	–	PUNCT
easat-10990	52	16	kpp	kpp	PROPN
easat-10990	52	17	reaction	reaction	NOUN
easat-10990	52	18	–	–	PUNCT
easat-10990	52	19	diffusion	diffusion	NOUN
easat-10990	52	20	equation	equation	NOUN
easat-10990	52	21	is	be	AUX
easat-10990	52	22	first	first	ADV
easat-10990	52	23	transformed	transform	VERB
easat-10990	52	24	into	into	ADP
easat-10990	52	25	a	a	DET
easat-10990	52	26	discrete	discrete	ADJ
easat-10990	52	27	algebraic	algebraic	ADJ
easat-10990	52	28	system	system	NOUN
easat-10990	52	29	.	.	PUNCT
easat-10990	53	1	using	use	VERB
easat-10990	53	2	a	a	DET
easat-10990	53	3	finite	finite	ADJ
easat-10990	53	4	-	-	PUNCT
easat-10990	53	5	difference	difference	NOUN
easat-10990	53	6	scheme	scheme	NOUN
easat-10990	53	7	,	,	PUNCT
easat-10990	53	8	the	the	DET
easat-10990	53	9	spatial	spatial	ADJ
easat-10990	53	10	and	and	CCONJ
easat-10990	53	11	temporal	temporal	ADJ
easat-10990	53	12	derivatives	derivative	NOUN
easat-10990	53	13	are	be	AUX
easat-10990	53	14	replaced	replace	VERB
easat-10990	53	15	by	by	ADP
easat-10990	53	16	suitable	suitable	ADJ
easat-10990	53	17	difference	difference	NOUN
easat-10990	53	18	quotients	quotient	NOUN
easat-10990	53	19	,	,	PUNCT
easat-10990	53	20	reducing	reduce	VERB
easat-10990	53	21	the	the	DET
easat-10990	53	22	original	original	ADJ
easat-10990	53	23	pde	pde	NOUN
easat-10990	53	24	to	to	ADP
easat-10990	53	25	a	a	DET
easat-10990	53	26	large	large	ADJ
easat-10990	53	27	,	,	PUNCT
easat-10990	53	28	sparse	sparse	ADJ
easat-10990	53	29	linear	linear	NOUN
easat-10990	53	30	system	system	NOUN
easat-10990	53	31	of	of	ADP
easat-10990	53	32	the	the	DET
easat-10990	53	33	form	form	NOUN
easat-10990	53	34	.	.	PUNCT
easat-10990	54	1	𝐴𝑢	𝐴𝑢	NOUN
easat-10990	54	2	=	=	SYM
easat-10990	54	3	𝑓	𝑓	PROPN
easat-10990	54	4	(	(	PUNCT
easat-10990	54	5	3	3	NUM
easat-10990	54	6	)	)	PUNCT
easat-10990	54	7	where	where	SCONJ
easat-10990	54	8	a	a	PRON
easat-10990	54	9	is	be	AUX
easat-10990	54	10	the	the	DET
easat-10990	54	11	coefficient	coefficient	NOUN
easat-10990	54	12	matrix	matrix	NOUN
easat-10990	54	13	generated	generate	VERB
easat-10990	54	14	by	by	ADP
easat-10990	54	15	the	the	DET
easat-10990	54	16	discretization	discretization	NOUN
easat-10990	54	17	,	,	PUNCT
easat-10990	54	18	u	u	NOUN
easat-10990	54	19	is	be	AUX
easat-10990	54	20	the	the	DET
easat-10990	54	21	vector	vector	NOUN
easat-10990	54	22	of	of	ADP
easat-10990	54	23	unknown	unknown	ADJ
easat-10990	54	24	nodal	nodal	NOUN
easat-10990	54	25	tumour	tumour	NOUN
easat-10990	54	26	cell	cell	NOUN
easat-10990	54	27	densities	density	NOUN
easat-10990	54	28	,	,	PUNCT
easat-10990	54	29	and	and	CCONJ
easat-10990	54	30	f	f	PROPN
easat-10990	54	31	is	be	AUX
easat-10990	54	32	the	the	DET
easat-10990	54	33	load	load	NOUN
easat-10990	54	34	vector	vector	NOUN
easat-10990	54	35	assembled	assemble	VERB
easat-10990	54	36	from	from	ADP
easat-10990	54	37	source	source	NOUN
easat-10990	54	38	terms	term	NOUN
easat-10990	54	39	and	and	CCONJ
easat-10990	54	40	boundary	boundary	ADJ
easat-10990	54	41	conditions	condition	NOUN
easat-10990	54	42	.	.	PUNCT
easat-10990	55	1	thus	thus	ADV
easat-10990	55	2	,	,	PUNCT
easat-10990	55	3	efficient	efficient	ADJ
easat-10990	55	4	solvers	solver	NOUN
easat-10990	55	5	are	be	AUX
easat-10990	55	6	essential	essential	ADJ
easat-10990	55	7	for	for	ADP
easat-10990	55	8	handling	handle	VERB
easat-10990	55	9	the	the	DET
easat-10990	55	10	size	size	NOUN
easat-10990	55	11	and	and	CCONJ
easat-10990	55	12	sparsity	sparsity	NOUN
easat-10990	55	13	of	of	ADP
easat-10990	55	14	this	this	DET
easat-10990	55	15	system	system	NOUN
easat-10990	55	16	.	.	PUNCT
easat-10990	56	1	here	here	ADV
easat-10990	56	2	,	,	PUNCT
easat-10990	56	3	we	we	PRON
easat-10990	56	4	examine	examine	VERB
easat-10990	56	5	two	two	NUM
easat-10990	56	6	point	point	NOUN
easat-10990	56	7	-	-	PUNCT
easat-10990	56	8	iterative	iterative	NOUN
easat-10990	56	9	methods	method	NOUN
easat-10990	56	10	:	:	PUNCT
easat-10990	56	11	gauss	gauss	ADJ
easat-10990	56	12	–	–	PUNCT
easat-10990	56	13	seidel	seidel	PROPN
easat-10990	56	14	(	(	PUNCT
easat-10990	56	15	gs	gs	NOUN
easat-10990	56	16	)	)	PUNCT
easat-10990	56	17	and	and	CCONJ
easat-10990	56	18	kaudd	kaudd	PROPN
easat-10990	56	19	successive	successive	ADJ
easat-10990	56	20	over	over	ADP
easat-10990	56	21	-	-	PUNCT
easat-10990	56	22	relaxation	relaxation	NOUN
easat-10990	56	23	(	(	PUNCT
easat-10990	56	24	ksor	ksor	NOUN
easat-10990	56	25	)	)	PUNCT
easat-10990	56	26	.	.	PUNCT
easat-10990	57	1	the	the	DET
easat-10990	57	2	classical	classical	ADJ
easat-10990	57	3	gs	gs	NOUN
easat-10990	57	4	method	method	NOUN
easat-10990	57	5	is	be	AUX
easat-10990	57	6	straightforward	straightforward	ADJ
easat-10990	57	7	and	and	CCONJ
easat-10990	57	8	well	well	ADV
easat-10990	57	9	-	-	PUNCT
easat-10990	57	10	studied	study	VERB
easat-10990	57	11	,	,	PUNCT
easat-10990	57	12	offering	offer	VERB
easat-10990	57	13	guaranteed	guarantee	VERB
easat-10990	57	14	convergence	convergence	NOUN
easat-10990	57	15	for	for	ADP
easat-10990	57	16	symmetric	symmetric	ADJ
easat-10990	57	17	positive	positive	ADJ
easat-10990	57	18	-	-	PUNCT
easat-10990	57	19	definite	definite	ADJ
easat-10990	57	20	problems	problem	NOUN
easat-10990	57	21	,	,	PUNCT
easat-10990	57	22	but	but	CCONJ
easat-10990	57	23	it	it	PRON
easat-10990	57	24	can	can	AUX
easat-10990	57	25	converge	converge	VERB
easat-10990	57	26	slowly	slowly	ADV
easat-10990	57	27	when	when	SCONJ
easat-10990	57	28	applied	apply	VERB
easat-10990	57	29	to	to	ADP
easat-10990	57	30	large	large	ADJ
easat-10990	57	31	reaction	reaction	NOUN
easat-10990	57	32	–	–	PUNCT
easat-10990	57	33	diffusion	diffusion	NOUN
easat-10990	57	34	models	model	NOUN
easat-10990	57	35	[	[	X
easat-10990	57	36	15	15	NUM
easat-10990	57	37	,	,	PUNCT
easat-10990	57	38	16	16	NUM
easat-10990	57	39	]	]	PUNCT
easat-10990	57	40	.	.	PUNCT
easat-10990	58	1	ksor	ksor	NOUN
easat-10990	58	2	,	,	PUNCT
easat-10990	58	3	in	in	ADP
easat-10990	58	4	contrast	contrast	NOUN
easat-10990	58	5	,	,	PUNCT
easat-10990	58	6	is	be	AUX
easat-10990	58	7	a	a	DET
easat-10990	58	8	kaczmarz	kaczmarz	PROPN
easat-10990	58	9	-	-	PUNCT
easat-10990	58	10	under	under	ADP
easat-10990	58	11	-	-	PUNCT
easat-10990	58	12	relaxed	relaxed	ADJ
easat-10990	58	13	sor	sor	NOUN
easat-10990	58	14	variant	variant	NOUN
easat-10990	58	15	that	that	PRON
easat-10990	58	16	merges	merge	VERB
easat-10990	58	17	the	the	DET
easat-10990	58	18	row	row	NOUN
easat-10990	58	19	-	-	PUNCT
easat-10990	58	20	projection	projection	NOUN
easat-10990	58	21	strategy	strategy	NOUN
easat-10990	58	22	of	of	ADP
easat-10990	58	23	the	the	DET
easat-10990	58	24	kaczmarz	kaczmarz	PROPN
easat-10990	58	25	method	method	NOUN
easat-10990	58	26	with	with	ADP
easat-10990	58	27	the	the	DET
easat-10990	58	28	over	over	ADP
easat-10990	58	29	-	-	PUNCT
easat-10990	58	30	relaxation	relaxation	NOUN
easat-10990	58	31	mechanics	mechanic	NOUN
easat-10990	58	32	of	of	ADP
easat-10990	58	33	sor	sor	NOUN
easat-10990	58	34	.	.	PUNCT
easat-10990	59	1	by	by	ADP
easat-10990	59	2	introducing	introduce	VERB
easat-10990	59	3	an	an	DET
easat-10990	59	4	under	under	ADJ
easat-10990	59	5	-	-	PUNCT
easat-10990	59	6	relaxation	relaxation	NOUN
easat-10990	59	7	factor	factor	NOUN
easat-10990	59	8	,	,	PUNCT
easat-10990	59	9	ksor	ksor	NOUN
easat-10990	59	10	improves	improve	VERB
easat-10990	59	11	numerical	numerical	ADJ
easat-10990	59	12	stability	stability	NOUN
easat-10990	59	13	and	and	CCONJ
easat-10990	59	14	typically	typically	ADV
easat-10990	59	15	achieves	achieve	VERB
easat-10990	59	16	faster	fast	ADJ
easat-10990	59	17	convergence	convergence	NOUN
easat-10990	59	18	for	for	ADP
easat-10990	59	19	the	the	DET
easat-10990	59	20	sparse	sparse	ADJ
easat-10990	59	21	matrices	matrix	NOUN
easat-10990	59	22	produced	produce	VERB
easat-10990	59	23	by	by	ADP
easat-10990	59	24	fisher	fisher	PROPN
easat-10990	59	25	–	–	PUNCT
easat-10990	59	26	kpp	kpp	PROPN
easat-10990	59	27	discretization	discretization	NOUN
easat-10990	60	1	[	[	X
easat-10990	60	2	21	21	NUM
easat-10990	60	3	-	-	SYM
easat-10990	60	4	24	24	NUM
easat-10990	60	5	]	]	PUNCT
easat-10990	60	6	.	.	PUNCT
easat-10990	61	1	for	for	ADP
easat-10990	61	2	numerical	numerical	ADJ
easat-10990	61	3	simulation	simulation	NOUN
easat-10990	61	4	on	on	ADP
easat-10990	61	5	a	a	DET
easat-10990	61	6	rectangular	rectangular	ADJ
easat-10990	61	7	domain	domain	NOUN
easat-10990	61	8	ω=[0	ω=[0	VERB
easat-10990	61	9	,	,	PUNCT
easat-10990	61	10	𝐿𝑥]×[0	𝐿𝑥]×[0	NUM
easat-10990	61	11	,	,	PUNCT
easat-10990	61	12	𝐿𝑦	𝐿𝑦	PROPN
easat-10990	61	13	]	]	PUNCT
easat-10990	61	14	,	,	PUNCT
easat-10990	61	15	we	we	PRON
easat-10990	61	16	discretize	discretize	VERB
easat-10990	61	17	space	space	NOUN
easat-10990	61	18	by	by	ADP
easat-10990	61	19	a	a	DET
easat-10990	61	20	uniform	uniform	ADJ
easat-10990	61	21	cartesian	cartesian	ADJ
easat-10990	61	22	mesh	mesh	NOUN
easat-10990	61	23	with	with	ADP
easat-10990	61	24	spacing	space	VERB
easat-10990	61	25	h	h	NOUN
easat-10990	61	26	=	=	NOUN
easat-10990	61	27	δx	δx	NOUN
easat-10990	61	28	=	=	NOUN
easat-10990	61	29	δy	δy	NOUN
easat-10990	61	30	.	.	PUNCT
easat-10990	62	1	grid	grid	NOUN
easat-10990	62	2	points	point	NOUN
easat-10990	62	3	are	be	AUX
easat-10990	62	4	(	(	PUNCT
easat-10990	62	5	𝑥𝑖	𝑥𝑖	X
easat-10990	62	6	,	,	PUNCT
easat-10990	62	7	𝑦𝑗)=(ih	𝑦𝑗)=(ih	PROPN
easat-10990	62	8	,	,	PUNCT
easat-10990	62	9	jh	jh	PROPN
easat-10990	62	10	)	)	PUNCT
easat-10990	62	11	with	with	ADP
easat-10990	62	12	i	i	PROPN
easat-10990	62	13	=	=	SYM
easat-10990	62	14	0	0	NUM
easat-10990	62	15	,	,	PUNCT
easat-10990	62	16	...	...	PUNCT
easat-10990	62	17	,	,	PUNCT
easat-10990	62	18	𝑁𝑥	𝑁𝑥	PROPN
easat-10990	62	19	,	,	PUNCT
easat-10990	62	20	j	j	PROPN
easat-10990	62	21	=	=	SYM
easat-10990	62	22	0	0	NUM
easat-10990	62	23	,	,	PUNCT
easat-10990	62	24	...	...	PUNCT
easat-10990	62	25	,	,	PUNCT
easat-10990	62	26	𝑁𝑦	𝑁𝑦	PROPN
easat-10990	62	27	,	,	PUNCT
easat-10990	62	28	denote	denote	VERB
easat-10990	62	29	𝑢𝑖,𝑗,𝑛	𝑢𝑖,𝑗,𝑛	PROPN
easat-10990	62	30	≈	≈	PROPN
easat-10990	62	31	𝑢(𝑥𝑖	𝑢(𝑥𝑖	PROPN
easat-10990	62	32	,	,	PUNCT
easat-10990	62	33	𝑦𝑗	𝑦𝑗	NOUN
easat-10990	62	34	,	,	PUNCT
easat-10990	62	35	𝑡𝑛	𝑡𝑛	NUM
easat-10990	62	36	)	)	PUNCT
easat-10990	62	37	.	.	PUNCT
easat-10990	63	1	approximating	approximate	VERB
easat-10990	63	2	the	the	DET
easat-10990	63	3	laplacian	laplacian	NOUN
easat-10990	63	4	with	with	ADP
easat-10990	63	5	the	the	DET
easat-10990	63	6	standard	standard	ADJ
easat-10990	63	7	five	five	NUM
easat-10990	63	8	-	-	PUNCT
easat-10990	63	9	point	point	NOUN
easat-10990	63	10	central	central	ADJ
easat-10990	63	11	difference	difference	NOUN
easat-10990	63	12	scheme	scheme	NOUN
easat-10990	63	13	,	,	PUNCT
easat-10990	63	14	and	and	CCONJ
easat-10990	63	15	for	for	ADP
easat-10990	63	16	the	the	DET
easat-10990	63	17	time	time	NOUN
easat-10990	63	18	integration	integration	NOUN
easat-10990	63	19	,	,	PUNCT
easat-10990	63	20	we	we	PRON
easat-10990	63	21	will	will	AUX
easat-10990	63	22	use	use	VERB
easat-10990	63	23	the	the	DET
easat-10990	63	24	backward	backward	ADJ
easat-10990	63	25	euler	euler	NOUN
easat-10990	63	26	method	method	NOUN
easat-10990	63	27	to	to	PART
easat-10990	63	28	ensure	ensure	VERB
easat-10990	63	29	stability	stability	NOUN
easat-10990	63	30	and	and	CCONJ
easat-10990	63	31	practical	practical	ADJ
easat-10990	63	32	timestep	timestep	NOUN
easat-10990	63	33	sizes	size	NOUN
easat-10990	63	34	in	in	ADP
easat-10990	63	35	diffusion	diffusion	NOUN
easat-10990	63	36	-	-	PUNCT
easat-10990	63	37	dominated	dominate	VERB
easat-10990	63	38	problems	problem	NOUN
easat-10990	63	39	.	.	PUNCT
easat-10990	64	1	therefore	therefore	ADV
easat-10990	64	2	,	,	PUNCT
easat-10990	64	3	the	the	DET
easat-10990	64	4	laplacian	laplacian	NOUN
easat-10990	64	5	provides	provide	VERB
easat-10990	64	6	the	the	DET
easat-10990	64	7	discrete	discrete	ADJ
easat-10990	64	8	implicit	implicit	ADJ
easat-10990	64	9	relation	relation	NOUN
easat-10990	64	10	at	at	ADP
easat-10990	64	11	the	the	DET
easat-10990	64	12	interior	interior	ADJ
easat-10990	64	13	node	node	NOUN
easat-10990	64	14	(	(	PUNCT
easat-10990	64	15	i	i	PROPN
easat-10990	64	16	,	,	PUNCT
easat-10990	64	17	j	j	PROPN
easat-10990	64	18	)	)	PUNCT
easat-10990	64	19	,	,	PUNCT
easat-10990	64	20	as	as	SCONJ
easat-10990	64	21	shown	show	VERB
easat-10990	64	22	in	in	ADP
easat-10990	64	23	eq	eq	ADP
easat-10990	64	24	.	.	PUNCT
easat-10990	65	1	(	(	PUNCT
easat-10990	65	2	3	3	NUM
easat-10990	65	3	)	)	PUNCT
easat-10990	65	4	below	below	ADV
easat-10990	65	5	:	:	PUNCT
easat-10990	65	6	next	next	ADV
easat-10990	65	7	,	,	PUNCT
easat-10990	65	8	we	we	PRON
easat-10990	65	9	can	can	AUX
easat-10990	65	10	rewrite	rewrite	VERB
easat-10990	65	11	eq	eq	ADP
easat-10990	65	12	.	.	PUNCT
easat-10990	66	1	(	(	PUNCT
easat-10990	66	2	3	3	X
easat-10990	66	3	)	)	PUNCT
easat-10990	66	4	in	in	ADP
easat-10990	66	5	the	the	DET
easat-10990	66	6	standard	standard	ADJ
easat-10990	66	7	five	five	NUM
easat-10990	66	8	-	-	PUNCT
easat-10990	66	9	point	point	NOUN
easat-10990	66	10	stencil	stencil	NOUN
easat-10990	66	11	form	form	NOUN
easat-10990	66	12	:	:	PUNCT
easat-10990	66	13	(	(	PUNCT
easat-10990	66	14	5	5	NUM
easat-10990	66	15	)	)	PUNCT
easat-10990	66	16	where	where	SCONJ
easat-10990	66	17	,	,	PUNCT
easat-10990	66	18	769	769	NUM
easat-10990	66	19	edelweiss	edelweiss	PROPN
easat-10990	66	20	applied	apply	VERB
easat-10990	66	21	science	science	NOUN
easat-10990	66	22	and	and	CCONJ
easat-10990	66	23	technology	technology	NOUN
easat-10990	66	24	issn	issn	PROPN
easat-10990	66	25	:	:	PUNCT
easat-10990	66	26	2576	2576	NUM
easat-10990	66	27	-	-	SYM
easat-10990	66	28	8484	8484	NUM
easat-10990	66	29	vol	vol	NOUN
easat-10990	66	30	.	.	PROPN
easat-10990	67	1	9	9	NUM
easat-10990	67	2	,	,	PUNCT
easat-10990	67	3	no	no	INTJ
easat-10990	67	4	.	.	NOUN
easat-10990	67	5	11	11	NUM
easat-10990	67	6	:	:	PUNCT
easat-10990	67	7	766	766	NUM
easat-10990	67	8	-	-	SYM
easat-10990	67	9	776	776	NUM
easat-10990	67	10	,	,	PUNCT
easat-10990	67	11	2025	2025	NUM
easat-10990	67	12	doi	doi	NOUN
easat-10990	67	13	:	:	PUNCT
easat-10990	67	14	10.55214/2576	10.55214/2576	NUM
easat-10990	67	15	-	-	SYM
easat-10990	67	16	8484.v9i11.10990	8484.v9i11.10990	NUM
easat-10990	67	17	©	©	PROPN
easat-10990	67	18	2025	2025	NUM
easat-10990	67	19	by	by	ADP
easat-10990	67	20	the	the	DET
easat-10990	67	21	authors	author	NOUN
easat-10990	67	22	;	;	PUNCT
easat-10990	67	23	licensee	licensee	PROPN
easat-10990	67	24	learning	learning	NOUN
easat-10990	67	25	gate	gate	NOUN
easat-10990	67	26	thus	thus	ADV
easat-10990	67	27	,	,	PUNCT
easat-10990	67	28	the	the	DET
easat-10990	67	29	representation	representation	NOUN
easat-10990	67	30	of	of	ADP
easat-10990	67	31	the	the	DET
easat-10990	67	32	5	5	NUM
easat-10990	67	33	-	-	PUNCT
easat-10990	67	34	point	point	NOUN
easat-10990	67	35	stencil	stencil	NOUN
easat-10990	67	36	form	form	NOUN
easat-10990	67	37	in	in	ADP
easat-10990	67	38	eq	eq	ADP
easat-10990	67	39	.	.	PUNCT
easat-10990	68	1	(	(	PUNCT
easat-10990	68	2	4	4	X
easat-10990	68	3	)	)	PUNCT
easat-10990	68	4	is	be	AUX
easat-10990	68	5	given	give	VERB
easat-10990	68	6	in	in	ADP
easat-10990	68	7	figure	figure	NOUN
easat-10990	68	8	1	1	NUM
easat-10990	68	9	below	below	ADV
easat-10990	68	10	:	:	PUNCT
easat-10990	68	11	figure	figure	VERB
easat-10990	68	12	1	1	NUM
easat-10990	68	13	.	.	PUNCT
easat-10990	68	14	2d	2d	NUM
easat-10990	68	15	representation	representation	NOUN
easat-10990	68	16	of	of	ADP
easat-10990	68	17	the	the	DET
easat-10990	68	18	computational	computational	ADJ
easat-10990	68	19	molecules	molecule	NOUN
easat-10990	68	20	.	.	PUNCT
easat-10990	69	1	based	base	VERB
easat-10990	69	2	on	on	ADP
easat-10990	69	3	the	the	DET
easat-10990	69	4	approximation	approximation	NOUN
easat-10990	69	5	in	in	ADP
easat-10990	69	6	eq	eq	ADP
easat-10990	69	7	.	.	PUNCT
easat-10990	70	1	(	(	PUNCT
easat-10990	70	2	10	10	NUM
easat-10990	70	3	)	)	PUNCT
easat-10990	70	4	,	,	PUNCT
easat-10990	70	5	a	a	DET
easat-10990	70	6	linear	linear	ADJ
easat-10990	70	7	system	system	NOUN
easat-10990	70	8	generated	generate	VERB
easat-10990	70	9	with	with	ADP
easat-10990	70	10	the	the	DET
easat-10990	70	11	coefficient	coefficient	NOUN
easat-10990	70	12	matrix	matrix	NOUN
easat-10990	70	13	is	be	AUX
easat-10990	70	14	largescale	largescale	ADJ
easat-10990	70	15	and	and	CCONJ
easat-10990	70	16	sparse	sparse	ADJ
easat-10990	70	17	,	,	PUNCT
easat-10990	70	18	as	as	SCONJ
easat-10990	70	19	shown	show	VERB
easat-10990	70	20	in	in	ADP
easat-10990	70	21	matrix	matrix	NOUN
easat-10990	70	22	form	form	NOUN
easat-10990	70	23	in	in	ADP
easat-10990	70	24	eq	eq	ADP
easat-10990	70	25	.	.	PUNCT
easat-10990	71	1	(	(	PUNCT
easat-10990	71	2	11	11	NUM
easat-10990	71	3	)	)	PUNCT
easat-10990	71	4	,	,	PUNCT
easat-10990	71	5	by	by	ADP
easat-10990	71	6	taking	take	VERB
easat-10990	71	7	i	i	PRON
easat-10990	71	8	=	=	PUNCT
easat-10990	71	9	0	0	NUM
easat-10990	71	10	,	,	PUNCT
easat-10990	71	11	1	1	NUM
easat-10990	71	12	,	,	PUNCT
easat-10990	71	13	2	2	NUM
easat-10990	71	14	,	,	PUNCT
easat-10990	71	15	…	…	PUNCT
easat-10990	71	16	,	,	PUNCT
easat-10990	71	17	n.	n.	NOUN
easat-10990	71	18	(	(	PUNCT
easat-10990	71	19	6	6	NUM
easat-10990	71	20	)	)	PUNCT
easat-10990	71	21	where	where	SCONJ
easat-10990	71	22	:	:	PUNCT
easat-10990	71	23	(	(	PUNCT
easat-10990	71	24	7	7	NUM
easat-10990	71	25	)	)	PUNCT
easat-10990	71	26	thus	thus	ADV
easat-10990	71	27	,	,	PUNCT
easat-10990	71	28	the	the	DET
easat-10990	71	29	matrix	matrix	NOUN
easat-10990	71	30	form	form	NOUN
easat-10990	71	31	for	for	ADP
easat-10990	71	32	,	,	PUNCT
easat-10990	71	33	and	and	CCONJ
easat-10990	71	34	can	can	AUX
easat-10990	71	35	be	be	AUX
easat-10990	71	36	written	write	VERB
easat-10990	71	37	as	as	ADP
easat-10990	71	38	:	:	PUNCT
easat-10990	71	39	thus	thus	ADV
easat-10990	71	40	,	,	PUNCT
easat-10990	71	41	the	the	DET
easat-10990	71	42	solution	solution	NOUN
easat-10990	71	43	vector	vector	NOUN
easat-10990	71	44	and	and	CCONJ
easat-10990	71	45	can	can	AUX
easat-10990	71	46	be	be	AUX
easat-10990	71	47	written	write	VERB
easat-10990	71	48	as	as	ADP
easat-10990	71	49	:	:	PUNCT
easat-10990	71	50	table	table	NOUN
easat-10990	71	51	1	1	NUM
easat-10990	71	52	below	below	ADP
easat-10990	71	53	lists	list	NOUN
easat-10990	71	54	the	the	DET
easat-10990	71	55	parameter	parameter	NOUN
easat-10990	71	56	values	value	NOUN
easat-10990	71	57	for	for	ADP
easat-10990	71	58	diffusion	diffusion	NOUN
easat-10990	71	59	,	,	PUNCT
easat-10990	71	60	proliferation	proliferation	NOUN
easat-10990	71	61	,	,	PUNCT
easat-10990	71	62	and	and	CCONJ
easat-10990	71	63	carrying	carry	VERB
easat-10990	71	64	capacity	capacity	NOUN
easat-10990	71	65	as	as	SCONJ
easat-10990	71	66	reported	report	VERB
easat-10990	71	67	in	in	ADP
easat-10990	71	68	previous	previous	ADJ
easat-10990	71	69	studies	study	NOUN
easat-10990	71	70	on	on	ADP
easat-10990	71	71	glioma	glioma	NOUN
easat-10990	71	72	dynamics	dynamic	NOUN
easat-10990	71	73	[	[	X
easat-10990	71	74	5	5	NUM
easat-10990	71	75	,	,	PUNCT
easat-10990	71	76	25	25	NUM
easat-10990	71	77	]	]	PUNCT
easat-10990	71	78	.	.	PUNCT
easat-10990	72	1	770	770	NUM
easat-10990	72	2	edelweiss	edelweiss	PROPN
easat-10990	72	3	applied	apply	VERB
easat-10990	72	4	science	science	NOUN
easat-10990	72	5	and	and	CCONJ
easat-10990	72	6	technology	technology	NOUN
easat-10990	72	7	issn	issn	PROPN
easat-10990	72	8	:	:	PUNCT
easat-10990	72	9	2576	2576	NUM
easat-10990	72	10	-	-	SYM
easat-10990	72	11	8484	8484	NUM
easat-10990	72	12	vol	vol	NOUN
easat-10990	72	13	.	.	PROPN
easat-10990	73	1	9	9	NUM
easat-10990	73	2	,	,	PUNCT
easat-10990	73	3	no	no	INTJ
easat-10990	73	4	.	.	NOUN
easat-10990	73	5	11	11	NUM
easat-10990	73	6	:	:	PUNCT
easat-10990	73	7	766	766	NUM
easat-10990	73	8	-	-	SYM
easat-10990	73	9	776	776	NUM
easat-10990	73	10	,	,	PUNCT
easat-10990	73	11	2025	2025	NUM
easat-10990	73	12	doi	doi	NOUN
easat-10990	73	13	:	:	PUNCT
easat-10990	73	14	10.55214/2576	10.55214/2576	NUM
easat-10990	73	15	-	-	SYM
easat-10990	73	16	8484.v9i11.10990	8484.v9i11.10990	NUM
easat-10990	73	17	©	©	PROPN
easat-10990	73	18	2025	2025	NUM
easat-10990	73	19	by	by	ADP
easat-10990	73	20	the	the	DET
easat-10990	73	21	authors	author	NOUN
easat-10990	73	22	;	;	PUNCT
easat-10990	74	1	licensee	licensee	PROPN
easat-10990	74	2	learning	learn	VERB
easat-10990	74	3	gate	gate	NOUN
easat-10990	74	4	table	table	NOUN
easat-10990	74	5	1	1	NUM
easat-10990	74	6	.	.	PUNCT
easat-10990	74	7	parameter	parameter	NOUN
easat-10990	74	8	values	value	NOUN
easat-10990	74	9	.	.	PUNCT
easat-10990	75	1	profile	profile	NOUN
easat-10990	75	2	d	d	X
easat-10990	75	3	(	(	PUNCT
easat-10990	75	4	mm²/day	mm²/day	PROPN
easat-10990	75	5	)	)	PUNCT
easat-10990	75	6	ρ	ρ	PROPN
easat-10990	75	7	(	(	PUNCT
easat-10990	75	8	day⁻¹	day⁻¹	NOUN
easat-10990	75	9	)	)	PUNCT
easat-10990	75	10	low	low	ADJ
easat-10990	75	11	-	-	PUNCT
easat-10990	75	12	grade	grade	NOUN
easat-10990	75	13	0.0005	0.0005	NUM
easat-10990	75	14	0.005	0.005	NUM
easat-10990	75	15	moderate	moderate	ADJ
easat-10990	75	16	0.002	0.002	NUM
easat-10990	75	17	0.01	0.01	NUM
easat-10990	75	18	high	high	ADJ
easat-10990	75	19	-	-	PUNCT
easat-10990	75	20	grade	grade	NOUN
easat-10990	75	21	0.010	0.010	NUM
easat-10990	75	22	0.05	0.05	NUM
easat-10990	75	23	4	4	NUM
easat-10990	75	24	.	.	PUNCT
easat-10990	75	25	implementation	implementation	NOUN
easat-10990	75	26	of	of	ADP
easat-10990	75	27	the	the	DET
easat-10990	75	28	ksor	ksor	NOUN
easat-10990	75	29	method	method	NOUN
easat-10990	75	30	refer	refer	VERB
easat-10990	75	31	to	to	ADP
easat-10990	75	32	the	the	DET
easat-10990	75	33	linear	linear	ADJ
easat-10990	75	34	system	system	NOUN
easat-10990	75	35	eq	eq	ADJ
easat-10990	75	36	.	.	PUNCT
easat-10990	76	1	(	(	PUNCT
easat-10990	76	2	5	5	NUM
easat-10990	76	3	)	)	PUNCT
easat-10990	76	4	;	;	PUNCT
easat-10990	76	5	the	the	DET
easat-10990	76	6	equations	equation	NOUN
easat-10990	76	7	are	be	AUX
easat-10990	76	8	large	large	ADJ
easat-10990	76	9	and	and	CCONJ
easat-10990	76	10	sparse	sparse	ADJ
easat-10990	76	11	because	because	SCONJ
easat-10990	76	12	most	most	ADJ
easat-10990	76	13	of	of	ADP
easat-10990	76	14	the	the	DET
easat-10990	76	15	matrix	matrix	NOUN
easat-10990	76	16	entries	entry	NOUN
easat-10990	76	17	are	be	AUX
easat-10990	76	18	zero	zero	NUM
easat-10990	76	19	.	.	PUNCT
easat-10990	77	1	as	as	ADP
easat-10990	77	2	a	a	DET
easat-10990	77	3	result	result	NOUN
easat-10990	77	4	,	,	PUNCT
easat-10990	77	5	the	the	DET
easat-10990	77	6	sparsity	sparsity	NOUN
easat-10990	77	7	makes	make	VERB
easat-10990	77	8	iterative	iterative	ADJ
easat-10990	77	9	methods	method	NOUN
easat-10990	77	10	attractive	attractive	ADJ
easat-10990	77	11	,	,	PUNCT
easat-10990	77	12	as	as	SCONJ
easat-10990	77	13	they	they	PRON
easat-10990	77	14	can	can	AUX
easat-10990	77	15	handle	handle	VERB
easat-10990	77	16	such	such	ADJ
easat-10990	77	17	systems	system	NOUN
easat-10990	77	18	efficiently	efficiently	ADV
easat-10990	77	19	by	by	ADP
easat-10990	77	20	reducing	reduce	VERB
easat-10990	77	21	the	the	DET
easat-10990	77	22	computational	computational	ADJ
easat-10990	77	23	and	and	CCONJ
easat-10990	77	24	memory	memory	NOUN
easat-10990	77	25	requirements	requirement	NOUN
easat-10990	77	26	.	.	PUNCT
easat-10990	78	1	hence	hence	ADV
easat-10990	78	2	,	,	PUNCT
easat-10990	78	3	in	in	ADP
easat-10990	78	4	this	this	DET
easat-10990	78	5	study	study	NOUN
easat-10990	78	6	,	,	PUNCT
easat-10990	78	7	we	we	PRON
easat-10990	78	8	used	use	VERB
easat-10990	78	9	the	the	DET
easat-10990	78	10	gs	gs	NOUN
easat-10990	78	11	and	and	CCONJ
easat-10990	78	12	ksor	ksor	NOUN
easat-10990	78	13	iterative	iterative	NOUN
easat-10990	78	14	methods	method	NOUN
easat-10990	78	15	to	to	PART
easat-10990	78	16	solve	solve	VERB
easat-10990	78	17	the	the	DET
easat-10990	78	18	linear	linear	ADJ
easat-10990	78	19	system	system	NOUN
easat-10990	78	20	above	above	ADV
easat-10990	78	21	because	because	SCONJ
easat-10990	78	22	both	both	DET
easat-10990	78	23	methods	method	NOUN
easat-10990	78	24	are	be	AUX
easat-10990	78	25	considered	consider	VERB
easat-10990	78	26	classical	classical	ADJ
easat-10990	78	27	point	point	NOUN
easat-10990	78	28	iterative	iterative	NOUN
easat-10990	78	29	schemes	scheme	NOUN
easat-10990	78	30	with	with	ADP
easat-10990	78	31	a	a	DET
easat-10990	78	32	wide	wide	ADJ
easat-10990	78	33	range	range	NOUN
easat-10990	78	34	of	of	ADP
easat-10990	78	35	use	use	NOUN
easat-10990	78	36	in	in	ADP
easat-10990	78	37	numerical	numerical	ADJ
easat-10990	78	38	solutions	solution	NOUN
easat-10990	78	39	for	for	ADP
easat-10990	78	40	partial	partial	ADJ
easat-10990	78	41	differential	differential	ADJ
easat-10990	78	42	equations	equation	NOUN
easat-10990	78	43	.	.	PUNCT
easat-10990	79	1	since	since	SCONJ
easat-10990	79	2	au=	au=	PROPN
easat-10990	79	3	f	f	PROPN
easat-10990	79	4	represents	represent	VERB
easat-10990	79	5	the	the	DET
easat-10990	79	6	system	system	NOUN
easat-10990	79	7	of	of	ADP
easat-10990	79	8	linear	linear	PROPN
easat-10990	79	9	equations	equation	NOUN
easat-10990	79	10	,	,	PUNCT
easat-10990	79	11	where	where	SCONJ
easat-10990	79	12	𝐴	𝐴	PROPN
easat-10990	79	13	∈	∈	PROPN
easat-10990	79	14	𝑅𝑛𝑥𝑛	𝑅𝑛𝑥𝑛	PROPN
easat-10990	79	15	,	,	PUNCT
easat-10990	79	16	u	u	NOUN
easat-10990	79	17	is	be	AUX
easat-10990	79	18	the	the	DET
easat-10990	79	19	unknown	unknown	ADJ
easat-10990	79	20	vector	vector	NOUN
easat-10990	79	21	and	and	CCONJ
easat-10990	79	22	b	b	NOUN
easat-10990	79	23	is	be	AUX
easat-10990	79	24	the	the	DET
easat-10990	79	25	right	right	ADJ
easat-10990	79	26	-	-	PUNCT
easat-10990	79	27	hand	hand	NOUN
easat-10990	79	28	side	side	NOUN
easat-10990	79	29	vector	vector	NOUN
easat-10990	79	30	assembled	assemble	VERB
easat-10990	79	31	from	from	ADP
easat-10990	79	32	the	the	DET
easat-10990	79	33	source	source	NOUN
easat-10990	79	34	𝑓𝑖,𝑗.	𝑓𝑖,𝑗.	PROPN
easat-10990	79	35	then	then	ADV
easat-10990	79	36	we	we	PRON
easat-10990	79	37	split	split	VERB
easat-10990	79	38	matrix	matrix	NOUN
easat-10990	79	39	a	a	PRON
easat-10990	79	40	into	into	ADP
easat-10990	79	41	its	its	PRON
easat-10990	79	42	diagonal	diagonal	ADJ
easat-10990	79	43	part	part	NOUN
easat-10990	79	44	and	and	CCONJ
easat-10990	79	45	d	d	NOUN
easat-10990	79	46	,	,	PUNCT
easat-10990	79	47	l	l	NOUN
easat-10990	79	48	is	be	AUX
easat-10990	79	49	the	the	DET
easat-10990	79	50	lower	low	ADJ
easat-10990	79	51	part	part	NOUN
easat-10990	79	52	,	,	PUNCT
easat-10990	79	53	and	and	CCONJ
easat-10990	79	54	u	u	NOUN
easat-10990	79	55	is	be	AUX
easat-10990	79	56	the	the	DET
easat-10990	79	57	upper	upper	ADJ
easat-10990	79	58	part	part	NOUN
easat-10990	79	59	,	,	PUNCT
easat-10990	79	60	such	such	ADJ
easat-10990	79	61	that	that	SCONJ
easat-10990	79	62	(	(	PUNCT
easat-10990	79	63	8)	8)	NUM
easat-10990	79	64	the	the	DET
easat-10990	79	65	ksor	ksor	NOUN
easat-10990	79	66	method	method	NOUN
easat-10990	79	67	,	,	PUNCT
easat-10990	79	68	a	a	DET
easat-10990	79	69	relaxation	relaxation	NOUN
easat-10990	79	70	parameter	parameter	NOUN
easat-10990	79	71	𝜔	𝜔	ADP
easat-10990	79	72	∈	∈	NOUN
easat-10990	79	73	(	(	PUNCT
easat-10990	79	74	−∞	−∞	NOUN
easat-10990	79	75	,	,	PUNCT
easat-10990	79	76	−2	−2	PROPN
easat-10990	79	77	]	]	PUNCT
easat-10990	79	78	was	be	AUX
easat-10990	79	79	introduced	introduce	VERB
easat-10990	79	80	to	to	PART
easat-10990	79	81	accelerate	accelerate	VERB
easat-10990	79	82	the	the	DET
easat-10990	79	83	convergence	convergence	NOUN
easat-10990	79	84	.	.	PUNCT
easat-10990	80	1	hence	hence	ADV
easat-10990	80	2	,	,	PUNCT
easat-10990	80	3	the	the	DET
easat-10990	80	4	ksor	ksor	NOUN
easat-10990	80	5	iterative	iterative	NOUN
easat-10990	80	6	formula	formula	NOUN
easat-10990	80	7	at	at	ADP
easat-10990	80	8	step	step	NOUN
easat-10990	80	9	n+1	n+1	NUM
easat-10990	80	10	is	be	AUX
easat-10990	80	11	:	:	PUNCT
easat-10990	80	12	(	(	PUNCT
easat-10990	80	13	9	9	X
easat-10990	80	14	)	)	PUNCT
easat-10990	80	15	it	it	PRON
easat-10990	80	16	can	can	AUX
easat-10990	80	17	also	also	ADV
easat-10990	80	18	be	be	AUX
easat-10990	80	19	written	write	VERB
easat-10990	80	20	as	as	ADP
easat-10990	80	21	:	:	PUNCT
easat-10990	80	22	(	(	PUNCT
easat-10990	80	23	10	10	NUM
easat-10990	80	24	)	)	PUNCT
easat-10990	80	25	where	where	SCONJ
easat-10990	80	26	is	be	AUX
easat-10990	80	27	the	the	DET
easat-10990	80	28	diagonal	diagonal	ADJ
easat-10990	80	29	entry	entry	NOUN
easat-10990	80	30	corresponding	correspond	VERB
easat-10990	80	31	to	to	ADP
easat-10990	80	32	and	and	CCONJ
easat-10990	80	33	the	the	DET
easat-10990	80	34	sums	sum	NOUN
easat-10990	80	35	are	be	AUX
easat-10990	80	36	over	over	ADP
easat-10990	80	37	the	the	DET
easat-10990	80	38	lower	low	ADJ
easat-10990	80	39	and	and	CCONJ
easat-10990	80	40	upper	upper	ADJ
easat-10990	80	41	triangular	triangular	NOUN
easat-10990	80	42	components	component	NOUN
easat-10990	80	43	,	,	PUNCT
easat-10990	80	44	respectively	respectively	ADV
easat-10990	80	45	.	.	PUNCT
easat-10990	81	1	according	accord	VERB
easat-10990	81	2	to	to	ADP
easat-10990	81	3	eq	eq	PROPN
easat-10990	81	4	.	.	PUNCT
easat-10990	82	1	(	(	PUNCT
easat-10990	82	2	9	9	NUM
easat-10990	82	3	)	)	PUNCT
easat-10990	82	4	,	,	PUNCT
easat-10990	82	5	if	if	SCONJ
easat-10990	82	6	we	we	PRON
easat-10990	82	7	select	select	VERB
easat-10990	82	8	ω	ω	PROPN
easat-10990	82	9	=	=	SYM
easat-10990	82	10	1	1	NUM
easat-10990	82	11	,	,	PUNCT
easat-10990	82	12	the	the	DET
easat-10990	82	13	ksor	ksor	NOUN
easat-10990	82	14	method	method	NOUN
easat-10990	82	15	can	can	AUX
easat-10990	82	16	be	be	AUX
easat-10990	82	17	reduced	reduce	VERB
easat-10990	82	18	or	or	CCONJ
easat-10990	82	19	known	know	VERB
easat-10990	82	20	as	as	ADP
easat-10990	82	21	the	the	DET
easat-10990	82	22	gauss	gauss	PROPN
easat-10990	82	23	-	-	PUNCT
easat-10990	82	24	seidel	seidel	PROPN
easat-10990	82	25	(	(	PUNCT
easat-10990	82	26	gs	gs	NOUN
easat-10990	82	27	)	)	PUNCT
easat-10990	82	28	iterative	iterative	NOUN
easat-10990	82	29	method	method	NOUN
easat-10990	82	30	.	.	PUNCT
easat-10990	83	1	therefore	therefore	ADV
easat-10990	83	2	,	,	PUNCT
easat-10990	83	3	based	base	VERB
easat-10990	83	4	on	on	ADP
easat-10990	83	5	the	the	DET
easat-10990	83	6	equations	equation	NOUN
easat-10990	83	7	above	above	ADV
easat-10990	83	8	,	,	PUNCT
easat-10990	83	9	we	we	PRON
easat-10990	83	10	present	present	VERB
easat-10990	83	11	the	the	DET
easat-10990	83	12	general	general	ADJ
easat-10990	83	13	algorithm	algorithm	NOUN
easat-10990	83	14	for	for	ADP
easat-10990	83	15	both	both	DET
easat-10990	83	16	gs	gs	NOUN
easat-10990	83	17	and	and	CCONJ
easat-10990	83	18	ksor	ksor	NOUN
easat-10990	83	19	to	to	PART
easat-10990	83	20	solve	solve	VERB
easat-10990	83	21	the	the	DET
easat-10990	83	22	equation	equation	NOUN
easat-10990	83	23	,	,	PUNCT
easat-10990	83	24	as	as	SCONJ
easat-10990	83	25	indicated	indicate	VERB
easat-10990	83	26	in	in	ADP
easat-10990	83	27	algorithm	algorithm	NOUN
easat-10990	83	28	1	1	NUM
easat-10990	83	29	.	.	PUNCT
easat-10990	83	30	algorithm	algorithm	NOUN
easat-10990	83	31	1	1	NUM
easat-10990	83	32	:	:	PUNCT
easat-10990	83	33	ksor	ksor	NOUN
easat-10990	83	34	scheme	scheme	NOUN
easat-10990	83	35	step	step	NOUN
easat-10990	84	1	i	i	PRON
easat-10990	84	2	:	:	PUNCT
easat-10990	84	3	initialize	initialize	NOUN
easat-10990	84	4	,	,	PUNCT
easat-10990	84	5	step	step	NOUN
easat-10990	84	6	ii	ii	NOUN
easat-10990	84	7	:	:	PUNCT
easat-10990	84	8	find	find	VERB
easat-10990	84	9	and	and	CCONJ
easat-10990	84	10	assign	assign	VERB
easat-10990	84	11	the	the	DET
easat-10990	84	12	optimal	optimal	ADJ
easat-10990	84	13	value	value	NOUN
easat-10990	84	14	of	of	ADP
easat-10990	84	15	step	step	NOUN
easat-10990	84	16	iii	iii	PROPN
easat-10990	84	17	:	:	PUNCT
easat-10990	84	18	for	for	ADP
easat-10990	84	19	and	and	CCONJ
easat-10990	84	20	,	,	PUNCT
easat-10990	84	21	update	update	VERB
easat-10990	84	22	each	each	DET
easat-10990	84	23	grid	grid	NOUN
easat-10990	84	24	point	point	NOUN
easat-10990	84	25	:	:	PUNCT
easat-10990	84	26	step	step	NOUN
easat-10990	84	27	iv	iv	NUM
easat-10990	84	28	:	:	PUNCT
easat-10990	84	29	check	check	VERB
easat-10990	84	30	the	the	DET
easat-10990	84	31	convergence	convergence	NOUN
easat-10990	84	32	:	:	PUNCT
easat-10990	84	33	if	if	SCONJ
easat-10990	84	34	convergence	convergence	NOUN
easat-10990	84	35	is	be	AUX
easat-10990	84	36	satisfied	satisfied	ADJ
easat-10990	84	37	,	,	PUNCT
easat-10990	84	38	proceed	proceed	VERB
easat-10990	84	39	to	to	PART
easat-10990	84	40	step	step	VERB
easat-10990	84	41	v	v	ADP
easat-10990	84	42	,	,	PUNCT
easat-10990	84	43	otherwise	otherwise	ADV
easat-10990	84	44	,	,	PUNCT
easat-10990	84	45	return	return	VERB
easat-10990	84	46	to	to	ADP
easat-10990	84	47	step	step	NOUN
easat-10990	84	48	iii	iii	NOUN
easat-10990	84	49	.	.	PUNCT
easat-10990	85	1	step	step	NOUN
easat-10990	85	2	v	v	NOUN
easat-10990	85	3	:	:	PUNCT
easat-10990	85	4	output	output	NOUN
easat-10990	85	5	approximate	approximate	ADJ
easat-10990	85	6	solution	solution	NOUN
easat-10990	85	7	for	for	ADP
easat-10990	85	8	the	the	DET
easat-10990	85	9	ksor	ksor	NOUN
easat-10990	85	10	method	method	NOUN
easat-10990	85	11	,	,	PUNCT
easat-10990	85	12	it	it	PRON
easat-10990	85	13	is	be	AUX
easat-10990	85	14	important	important	ADJ
easat-10990	85	15	to	to	PART
easat-10990	85	16	identify	identify	VERB
easat-10990	85	17	the	the	DET
easat-10990	85	18	optimal	optimal	ADJ
easat-10990	85	19	𝜔	𝜔	PART
easat-10990	85	20	to	to	PART
easat-10990	85	21	minimize	minimize	VERB
easat-10990	85	22	the	the	DET
easat-10990	85	23	number	number	NOUN
easat-10990	85	24	of	of	ADP
easat-10990	85	25	iterations	iteration	NOUN
easat-10990	85	26	to	to	PART
easat-10990	85	27	reach	reach	VERB
easat-10990	85	28	convergence	convergence	NOUN
easat-10990	85	29	.	.	PUNCT
easat-10990	86	1	thus	thus	ADV
easat-10990	86	2	,	,	PUNCT
easat-10990	86	3	in	in	ADP
easat-10990	86	4	this	this	DET
easat-10990	86	5	study	study	NOUN
easat-10990	86	6	,	,	PUNCT
easat-10990	86	7	we	we	PRON
easat-10990	86	8	empirically	empirically	ADV
easat-10990	86	9	estimated	estimate	VERB
easat-10990	86	10	the	the	DET
easat-10990	86	11	optimal	optimal	ADJ
easat-10990	86	12	𝜔	𝜔	NOUN
easat-10990	86	13	by	by	ADP
easat-10990	86	14	running	run	VERB
easat-10990	86	15	over	over	ADP
easat-10990	86	16	a	a	DET
easat-10990	86	17	range	range	NOUN
easat-10990	86	18	of	of	ADP
easat-10990	86	19	𝜔	𝜔	NOUN
easat-10990	86	20	and	and	CCONJ
easat-10990	86	21	selecting	select	VERB
easat-10990	86	22	the	the	DET
easat-10990	86	23	𝜔	𝜔	NOUN
easat-10990	86	24	with	with	ADP
easat-10990	86	25	the	the	DET
easat-10990	86	26	lowest	low	ADJ
easat-10990	86	27	required	require	VERB
easat-10990	86	28	iterations	iteration	NOUN
easat-10990	86	29	to	to	PART
easat-10990	86	30	achieve	achieve	VERB
easat-10990	86	31	the	the	DET
easat-10990	86	32	lowest	low	ADJ
easat-10990	86	33	residual	residual	ADJ
easat-10990	86	34	value	value	NOUN
easat-10990	86	35	at	at	ADP
easat-10990	86	36	4	4	NUM
easat-10990	86	37	decimal	decimal	ADJ
easat-10990	86	38	points	point	NOUN
easat-10990	86	39	.	.	PUNCT
easat-10990	87	1	771	771	NUM
easat-10990	87	2	edelweiss	edelweiss	PROPN
easat-10990	87	3	applied	apply	VERB
easat-10990	87	4	science	science	NOUN
easat-10990	87	5	and	and	CCONJ
easat-10990	87	6	technology	technology	NOUN
easat-10990	87	7	issn	issn	PROPN
easat-10990	87	8	:	:	PUNCT
easat-10990	87	9	2576	2576	NUM
easat-10990	87	10	-	-	SYM
easat-10990	87	11	8484	8484	NUM
easat-10990	87	12	vol	vol	NOUN
easat-10990	87	13	.	.	PROPN
easat-10990	88	1	9	9	NUM
easat-10990	88	2	,	,	PUNCT
easat-10990	88	3	no	no	INTJ
easat-10990	88	4	.	.	NOUN
easat-10990	88	5	11	11	NUM
easat-10990	88	6	:	:	PUNCT
easat-10990	88	7	766	766	NUM
easat-10990	88	8	-	-	SYM
easat-10990	88	9	776	776	NUM
easat-10990	88	10	,	,	PUNCT
easat-10990	88	11	2025	2025	NUM
easat-10990	88	12	doi	doi	NOUN
easat-10990	88	13	:	:	PUNCT
easat-10990	88	14	10.55214/2576	10.55214/2576	NUM
easat-10990	88	15	-	-	SYM
easat-10990	88	16	8484.v9i11.10990	8484.v9i11.10990	NUM
easat-10990	88	17	©	©	PROPN
easat-10990	88	18	2025	2025	NUM
easat-10990	88	19	by	by	ADP
easat-10990	88	20	the	the	DET
easat-10990	88	21	authors	author	NOUN
easat-10990	88	22	;	;	PUNCT
easat-10990	88	23	licensee	licensee	PROPN
easat-10990	88	24	learning	learning	NOUN
easat-10990	88	25	gate	gate	NOUN
easat-10990	88	26	5	5	NUM
easat-10990	88	27	.	.	PUNCT
easat-10990	88	28	numerical	numerical	ADJ
easat-10990	88	29	experiment	experiment	NOUN
easat-10990	88	30	and	and	CCONJ
easat-10990	88	31	discussion	discussion	NOUN
easat-10990	88	32	in	in	ADP
easat-10990	88	33	this	this	DET
easat-10990	88	34	section	section	NOUN
easat-10990	88	35	,	,	PUNCT
easat-10990	88	36	we	we	PRON
easat-10990	88	37	will	will	AUX
easat-10990	88	38	conduct	conduct	VERB
easat-10990	88	39	a	a	DET
easat-10990	88	40	numerical	numerical	ADJ
easat-10990	88	41	test	test	NOUN
easat-10990	88	42	on	on	ADP
easat-10990	88	43	the	the	DET
easat-10990	88	44	equation	equation	NOUN
easat-10990	88	45	.	.	PUNCT
easat-10990	89	1	(	(	PUNCT
easat-10990	89	2	5	5	NUM
easat-10990	89	3	)	)	PUNCT
easat-10990	89	4	with	with	ADP
easat-10990	89	5	different	different	ADJ
easat-10990	89	6	parameters	parameter	NOUN
easat-10990	89	7	based	base	VERB
easat-10990	89	8	on	on	ADP
easat-10990	89	9	table	table	NOUN
easat-10990	89	10	1	1	NUM
easat-10990	89	11	to	to	PART
easat-10990	89	12	evaluate	evaluate	VERB
easat-10990	89	13	the	the	DET
easat-10990	89	14	performance	performance	NOUN
easat-10990	89	15	of	of	ADP
easat-10990	89	16	the	the	DET
easat-10990	89	17	gs	gs	NOUN
easat-10990	89	18	and	and	CCONJ
easat-10990	89	19	ksor	ksor	NOUN
easat-10990	89	20	methods	method	NOUN
easat-10990	89	21	.	.	PUNCT
easat-10990	90	1	the	the	DET
easat-10990	90	2	criteria	criterion	NOUN
easat-10990	90	3	for	for	ADP
easat-10990	90	4	this	this	DET
easat-10990	90	5	comparison	comparison	NOUN
easat-10990	90	6	are	be	AUX
easat-10990	90	7	based	base	VERB
easat-10990	90	8	on	on	ADP
easat-10990	90	9	the	the	DET
easat-10990	90	10	iteration	iteration	NOUN
easat-10990	90	11	count	count	NOUN
easat-10990	90	12	(	(	PUNCT
easat-10990	90	13	iter	iter	NOUN
easat-10990	90	14	)	)	PUNCT
easat-10990	90	15	,	,	PUNCT
easat-10990	90	16	execution	execution	NOUN
easat-10990	90	17	time	time	NOUN
easat-10990	90	18	(	(	PUNCT
easat-10990	90	19	t	t	NOUN
easat-10990	90	20	)	)	PUNCT
easat-10990	90	21	,	,	PUNCT
easat-10990	90	22	and	and	CCONJ
easat-10990	90	23	the	the	DET
easat-10990	90	24	maximum	maximum	ADJ
easat-10990	90	25	absolute	absolute	ADJ
easat-10990	90	26	error	error	NOUN
easat-10990	90	27	(	(	PUNCT
easat-10990	90	28	e	e	NOUN
easat-10990	90	29	)	)	PUNCT
easat-10990	90	30	.	.	PUNCT
easat-10990	91	1	all	all	DET
easat-10990	91	2	numerical	numerical	ADJ
easat-10990	91	3	experiments	experiment	NOUN
easat-10990	91	4	will	will	AUX
easat-10990	91	5	be	be	AUX
easat-10990	91	6	performed	perform	VERB
easat-10990	91	7	using	use	VERB
easat-10990	91	8	various	various	ADJ
easat-10990	91	9	mesh	mesh	NOUN
easat-10990	91	10	sizes	size	NOUN
easat-10990	91	11	starting	start	VERB
easat-10990	91	12	from	from	ADP
easat-10990	91	13	32	32	NUM
easat-10990	91	14	,	,	PUNCT
easat-10990	91	15	64	64	NUM
easat-10990	91	16	,	,	PUNCT
easat-10990	91	17	128	128	NUM
easat-10990	91	18	,	,	PUNCT
easat-10990	91	19	256	256	NUM
easat-10990	91	20	,	,	PUNCT
easat-10990	91	21	and	and	CCONJ
easat-10990	91	22	up	up	ADP
easat-10990	91	23	to	to	PART
easat-10990	91	24	512	512	NUM
easat-10990	91	25	grid	grid	NOUN
easat-10990	91	26	sizes	size	NOUN
easat-10990	91	27	,	,	PUNCT
easat-10990	91	28	with	with	ADP
easat-10990	91	29	the	the	DET
easat-10990	91	30	simulation	simulation	NOUN
easat-10990	91	31	parameters	parameter	NOUN
easat-10990	91	32	used	use	VERB
easat-10990	91	33	shown	show	VERB
easat-10990	91	34	in	in	ADP
easat-10990	91	35	table	table	NOUN
easat-10990	91	36	1	1	NUM
easat-10990	91	37	.	.	PUNCT
easat-10990	92	1	finally	finally	ADV
easat-10990	92	2	,	,	PUNCT
easat-10990	92	3	the	the	DET
easat-10990	92	4	maximum	maximum	ADJ
easat-10990	92	5	absolute	absolute	ADJ
easat-10990	92	6	error	error	NOUN
easat-10990	92	7	was	be	AUX
easat-10990	92	8	computed	compute	VERB
easat-10990	92	9	by	by	ADP
easat-10990	92	10	comparing	compare	VERB
easat-10990	92	11	the	the	DET
easat-10990	92	12	simulated	simulate	VERB
easat-10990	92	13	results	result	NOUN
easat-10990	92	14	with	with	ADP
easat-10990	92	15	the	the	DET
easat-10990	92	16	analytical	analytical	ADJ
easat-10990	92	17	fundamental	fundamental	ADJ
easat-10990	92	18	shown	show	VERB
easat-10990	92	19	in	in	ADP
easat-10990	92	20	eq	eq	ADP
easat-10990	92	21	.	.	PUNCT
easat-10990	93	1	(	(	PUNCT
easat-10990	93	2	10	10	NUM
easat-10990	93	3	)	)	PUNCT
easat-10990	93	4	where	where	SCONJ
easat-10990	93	5	d	d	NOUN
easat-10990	93	6	is	be	AUX
easat-10990	93	7	the	the	DET
easat-10990	93	8	diffusion	diffusion	NOUN
easat-10990	93	9	coefficient	coefficient	NOUN
easat-10990	93	10	,	,	PUNCT
easat-10990	93	11	ρ	ρ	PROPN
easat-10990	93	12	the	the	DET
easat-10990	93	13	net	net	ADJ
easat-10990	93	14	proliferation	proliferation	NOUN
easat-10990	93	15	rate	rate	NOUN
easat-10990	93	16	,	,	PUNCT
easat-10990	93	17	and	and	CCONJ
easat-10990	93	18	(	(	PUNCT
easat-10990	93	19	)	)	PUNCT
easat-10990	93	20	and	and	CCONJ
easat-10990	93	21	(	(	PUNCT
easat-10990	93	22	)	)	PUNCT
easat-10990	93	23	represent	represent	VERB
easat-10990	93	24	the	the	DET
easat-10990	93	25	initial	initial	ADJ
easat-10990	93	26	tumour	tumour	NOUN
easat-10990	93	27	location	location	NOUN
easat-10990	93	28	,	,	PUNCT
easat-10990	93	29	and	and	CCONJ
easat-10990	93	30	ε	ε	PROPN
easat-10990	93	31	is	be	AUX
easat-10990	93	32	a	a	DET
easat-10990	93	33	constant	constant	ADJ
easat-10990	93	34	to	to	PART
easat-10990	93	35	avoid	avoid	VERB
easat-10990	93	36	singularity	singularity	NOUN
easat-10990	93	37	at	at	ADP
easat-10990	93	38	t	t	NOUN
easat-10990	93	39	=	=	SYM
easat-10990	93	40	0	0	PROPN
easat-10990	93	41	.	.	PUNCT
easat-10990	94	1	this	this	DET
easat-10990	94	2	expression	expression	NOUN
easat-10990	94	3	follows	follow	VERB
easat-10990	94	4	from	from	ADP
easat-10990	94	5	the	the	DET
easat-10990	94	6	classical	classical	ADJ
easat-10990	94	7	heat	heat	NOUN
easat-10990	94	8	kernel	kernel	NOUN
easat-10990	94	9	solution	solution	NOUN
easat-10990	94	10	with	with	ADP
easat-10990	94	11	an	an	DET
easat-10990	94	12	added	add	VERB
easat-10990	94	13	exponential	exponential	ADJ
easat-10990	94	14	growth	growth	NOUN
easat-10990	94	15	term	term	NOUN
easat-10990	94	16	[	[	X
easat-10990	94	17	20	20	NUM
easat-10990	94	18	,	,	PUNCT
easat-10990	94	19	26	26	NUM
easat-10990	94	20	,	,	PUNCT
easat-10990	94	21	27	27	NUM
easat-10990	94	22	]	]	PUNCT
easat-10990	94	23	.	.	PUNCT
easat-10990	95	1	(	(	PUNCT
easat-10990	95	2	11	11	NUM
easat-10990	95	3	)	)	PUNCT
easat-10990	95	4	table	table	NOUN
easat-10990	95	5	2	2	NUM
easat-10990	95	6	.	.	PUNCT
easat-10990	96	1	the	the	DET
easat-10990	96	2	number	number	NOUN
easat-10990	96	3	of	of	ADP
easat-10990	96	4	iterations	iteration	NOUN
easat-10990	96	5	,	,	PUNCT
easat-10990	96	6	maximum	maximum	ADJ
easat-10990	96	7	absolute	absolute	ADJ
easat-10990	96	8	error	error	NOUN
easat-10990	96	9	generated	generate	VERB
easat-10990	96	10	by	by	ADP
easat-10990	96	11	both	both	DET
easat-10990	96	12	gs	gs	PROPN
easat-10990	96	13	and	and	CCONJ
easat-10990	96	14	ksor	ksor	NOUN
easat-10990	96	15	at	at	ADP
easat-10990	96	16	different	different	ADJ
easat-10990	96	17	grid	grid	NOUN
easat-10990	96	18	sizes	size	NOUN
easat-10990	96	19	for	for	ADP
easat-10990	96	20	low	low	ADJ
easat-10990	96	21	grade	grade	NOUN
easat-10990	96	22	gliomas	glioma	NOUN
easat-10990	96	23	.	.	PUNCT
easat-10990	97	1	grid	grid	NOUN
easat-10990	97	2	size	size	NOUN
easat-10990	97	3	method	method	NOUN
easat-10990	97	4	optimal	optimal	ADJ
easat-10990	97	5	ω	ω	NUM
easat-10990	97	6	iter	iter	NOUN
easat-10990	97	7	e	e	PROPN
easat-10990	97	8	t	t	PROPN
easat-10990	97	9	,	,	PUNCT
easat-10990	97	10	(	(	PUNCT
easat-10990	97	11	s	s	X
easat-10990	97	12	)	)	PUNCT
easat-10990	97	13	32	32	NUM
easat-10990	97	14	gs	gs	NOUN
easat-10990	97	15	1.0000	1.0000	NUM
easat-10990	97	16	8	8	NUM
easat-10990	97	17	5.24x	5.24x	NUM
easat-10990	97	18	0.0002	0.0002	NUM
easat-10990	97	19	ksor	ksor	NOUN
easat-10990	97	20	-14.7548	-14.7548	NUM
easat-10990	97	21	7	7	NUM
easat-10990	97	22	5.24x	5.24x	NUM
easat-10990	97	23	0.0002	0.0002	NUM
easat-10990	97	24	64	64	NUM
easat-10990	97	25	gs	gs	NOUN
easat-10990	97	26	1.000	1.000	NUM
easat-10990	97	27	17	17	NUM
easat-10990	97	28	2.11x	2.11x	NUM
easat-10990	97	29	0.0027	0.0027	NUM
easat-10990	97	30	ksor	ksor	NOUN
easat-10990	97	31	-5.1293	-5.1293	NOUN
easat-10990	97	32	11	11	NUM
easat-10990	97	33	2.11x	2.11x	NUM
easat-10990	97	34	0.0015	0.0015	NUM
easat-10990	97	35	128	128	NUM
easat-10990	97	36	gs	gs	NOUN
easat-10990	97	37	1.0000	1.0000	NUM
easat-10990	97	38	39	39	NUM
easat-10990	97	39	1.26x	1.26x	NUM
easat-10990	97	40	0.0227	0.0227	NUM
easat-10990	97	41	ksor	ksor	NOUN
easat-10990	97	42	-3.3555	-3.3555	NOUN
easat-10990	97	43	20	20	NUM
easat-10990	97	44	1.26x	1.26x	NUM
easat-10990	97	45	0.0115	0.0115	NUM
easat-10990	97	46	256	256	NUM
easat-10990	97	47	gs	gs	NUM
easat-10990	97	48	1.000	1.000	NUM
easat-10990	97	49	121	121	NUM
easat-10990	97	50	1.05x	1.05x	NUM
easat-10990	97	51	0.2588	0.2588	NUM
easat-10990	97	52	ksor	ksor	NOUN
easat-10990	97	53	-2.5785	-2.5785	NOUN
easat-10990	97	54	40	40	NUM
easat-10990	97	55	1.05x	1.05x	NUM
easat-10990	97	56	0.0925	0.0925	NUM
easat-10990	97	57	512	512	NUM
easat-10990	97	58	gs	gs	NOUN
easat-10990	97	59	1.000	1.000	NUM
easat-10990	97	60	417	417	NUM
easat-10990	97	61	9.96x	9.96x	NUM
easat-10990	97	62	3.5098	3.5098	NUM
easat-10990	97	63	ksor	ksor	NOUN
easat-10990	97	64	-2.2651	-2.2651	NOUN
easat-10990	97	65	80	80	NUM
easat-10990	98	1	9.96x	9.96x	NUM
easat-10990	98	2	0.7946	0.7946	NUM
easat-10990	98	3	772	772	NUM
easat-10990	98	4	edelweiss	edelweiss	PROPN
easat-10990	98	5	applied	apply	VERB
easat-10990	98	6	science	science	NOUN
easat-10990	98	7	and	and	CCONJ
easat-10990	98	8	technology	technology	NOUN
easat-10990	98	9	issn	issn	PROPN
easat-10990	98	10	:	:	PUNCT
easat-10990	98	11	2576	2576	NUM
easat-10990	98	12	-	-	SYM
easat-10990	98	13	8484	8484	NUM
easat-10990	98	14	vol	vol	NOUN
easat-10990	98	15	.	.	PROPN
easat-10990	99	1	9	9	NUM
easat-10990	99	2	,	,	PUNCT
easat-10990	99	3	no	no	INTJ
easat-10990	99	4	.	.	NOUN
easat-10990	99	5	11	11	NUM
easat-10990	99	6	:	:	PUNCT
easat-10990	99	7	766	766	NUM
easat-10990	99	8	-	-	SYM
easat-10990	99	9	776	776	NUM
easat-10990	99	10	,	,	PUNCT
easat-10990	99	11	2025	2025	NUM
easat-10990	99	12	doi	doi	NOUN
easat-10990	99	13	:	:	PUNCT
easat-10990	99	14	10.55214/2576	10.55214/2576	NUM
easat-10990	99	15	-	-	SYM
easat-10990	99	16	8484.v9i11.10990	8484.v9i11.10990	NUM
easat-10990	99	17	©	©	PROPN
easat-10990	99	18	2025	2025	NUM
easat-10990	99	19	by	by	ADP
easat-10990	99	20	the	the	DET
easat-10990	99	21	authors	author	NOUN
easat-10990	99	22	;	;	PUNCT
easat-10990	99	23	licensee	licensee	PROPN
easat-10990	99	24	learning	learn	VERB
easat-10990	99	25	gate	gate	NOUN
easat-10990	99	26	figure	figure	NOUN
easat-10990	99	27	2	2	NUM
easat-10990	99	28	.	.	PUNCT
easat-10990	100	1	the	the	DET
easat-10990	100	2	maximum	maximum	ADJ
easat-10990	100	3	absolute	absolute	ADJ
easat-10990	100	4	error	error	NOUN
easat-10990	100	5	for	for	ADP
easat-10990	100	6	low	low	ADJ
easat-10990	100	7	grade	grade	NOUN
easat-10990	100	8	glioma	glioma	NOUN
easat-10990	100	9	.	.	PUNCT
easat-10990	101	1	table	table	NOUN
easat-10990	101	2	3	3	NUM
easat-10990	101	3	.	.	PUNCT
easat-10990	102	1	the	the	DET
easat-10990	102	2	number	number	NOUN
easat-10990	102	3	of	of	ADP
easat-10990	102	4	iterations	iteration	NOUN
easat-10990	102	5	,	,	PUNCT
easat-10990	102	6	maximum	maximum	ADJ
easat-10990	102	7	absolute	absolute	ADJ
easat-10990	102	8	error	error	NOUN
easat-10990	102	9	generated	generate	VERB
easat-10990	102	10	by	by	ADP
easat-10990	102	11	both	both	DET
easat-10990	102	12	gs	gs	PROPN
easat-10990	102	13	and	and	CCONJ
easat-10990	102	14	ksor	ksor	NOUN
easat-10990	102	15	at	at	ADP
easat-10990	102	16	different	different	ADJ
easat-10990	102	17	grid	grid	NOUN
easat-10990	102	18	sizes	size	NOUN
easat-10990	102	19	for	for	ADP
easat-10990	102	20	mid	mid	ADJ
easat-10990	102	21	-	-	ADJ
easat-10990	102	22	grade	grade	ADJ
easat-10990	102	23	glioma	glioma	NOUN
easat-10990	102	24	.	.	PUNCT
easat-10990	103	1	grid	grid	NOUN
easat-10990	103	2	size	size	NOUN
easat-10990	103	3	method	method	NOUN
easat-10990	103	4	optimal	optimal	ADJ
easat-10990	103	5	ω	ω	NUM
easat-10990	103	6	iter	iter	NOUN
easat-10990	103	7	e	e	PROPN
easat-10990	103	8	t	t	PROPN
easat-10990	103	9	,	,	PUNCT
easat-10990	103	10	(	(	PUNCT
easat-10990	103	11	s	s	X
easat-10990	103	12	)	)	PUNCT
easat-10990	103	13	32	32	NUM
easat-10990	103	14	gs	gs	NOUN
easat-10990	103	15	1.0000	1.0000	NUM
easat-10990	103	16	18	18	NUM
easat-10990	103	17	4.22	4.22	NUM
easat-10990	103	18	x	x	SYM
easat-10990	103	19	0.0006	0.0006	NUM
easat-10990	103	20	ksor	ksor	NOUN
easat-10990	103	21	-5.1948	-5.1948	NOUN
easat-10990	103	22	13	13	NUM
easat-10990	103	23	4.22	4.22	NUM
easat-10990	103	24	x	x	SYM
easat-10990	103	25	0.0005	0.0005	NUM
easat-10990	103	26	64	64	NUM
easat-10990	103	27	gs	gs	NOUN
easat-10990	103	28	1.000	1.000	NUM
easat-10990	103	29	44	44	NUM
easat-10990	103	30	3.14x	3.14x	NUM
easat-10990	103	31	0.0079	0.0079	NUM
easat-10990	103	32	ksor	ksor	NOUN
easat-10990	103	33	-3.5785	-3.5785	NOUN
easat-10990	103	34	22	22	NUM
easat-10990	103	35	3.14x	3.14x	NUM
easat-10990	103	36	0.0041	0.0041	NUM
easat-10990	103	37	128	128	NUM
easat-10990	103	38	gs	gs	INTJ
easat-10990	103	39	1.000	1.000	NUM
easat-10990	103	40	134	134	NUM
easat-10990	103	41	2.85x	2.85x	NUM
easat-10990	103	42	0.0652	0.0652	NUM
easat-10990	103	43	ksor	ksor	NOUN
easat-10990	103	44	-2.526	-2.526	PUNCT
easat-10990	103	45	52	52	NUM
easat-10990	103	46	2.85x	2.85x	NUM
easat-10990	103	47	0.0284	0.0284	NUM
easat-10990	103	48	256	256	NUM
easat-10990	103	49	gs	gs	NOUN
easat-10990	103	50	1.000	1.000	NUM
easat-10990	103	51	466	466	NUM
easat-10990	103	52	2.77x	2.77x	NUM
easat-10990	103	53	0.9032	0.9032	NUM
easat-10990	103	54	ksor	ksor	NOUN
easat-10990	103	55	-2.2828	-2.2828	NOUN
easat-10990	103	56	88	88	NUM
easat-10990	104	1	2.77x	2.77x	NUM
easat-10990	104	2	0.2395	0.2395	NUM
easat-10990	104	3	512	512	NUM
easat-10990	104	4	gs	gs	NUM
easat-10990	104	5	1.000	1.000	NUM
easat-10990	104	6	1685	1685	NUM
easat-10990	104	7	2.75x	2.75x	NUM
easat-10990	104	8	14.3275	14.3275	NUM
easat-10990	104	9	ksor	ksor	NOUN
easat-10990	104	10	-2.1339	-2.1339	NOUN
easat-10990	104	11	174	174	NUM
easat-10990	104	12	2.75x	2.75x	NUM
easat-10990	104	13	1.6658	1.6658	NUM
easat-10990	104	14	773	773	NUM
easat-10990	104	15	edelweiss	edelweiss	PROPN
easat-10990	104	16	applied	apply	VERB
easat-10990	104	17	science	science	NOUN
easat-10990	104	18	and	and	CCONJ
easat-10990	104	19	technology	technology	NOUN
easat-10990	104	20	issn	issn	PROPN
easat-10990	104	21	:	:	PUNCT
easat-10990	104	22	2576	2576	NUM
easat-10990	104	23	-	-	SYM
easat-10990	104	24	8484	8484	NUM
easat-10990	104	25	vol	vol	NOUN
easat-10990	104	26	.	.	PROPN
easat-10990	105	1	9	9	NUM
easat-10990	105	2	,	,	PUNCT
easat-10990	105	3	no	no	INTJ
easat-10990	105	4	.	.	NOUN
easat-10990	105	5	11	11	NUM
easat-10990	105	6	:	:	PUNCT
easat-10990	105	7	766	766	NUM
easat-10990	105	8	-	-	SYM
easat-10990	105	9	776	776	NUM
easat-10990	105	10	,	,	PUNCT
easat-10990	105	11	2025	2025	NUM
easat-10990	105	12	doi	doi	NOUN
easat-10990	105	13	:	:	PUNCT
easat-10990	105	14	10.55214/2576	10.55214/2576	NUM
easat-10990	105	15	-	-	SYM
easat-10990	105	16	8484.v9i11.10990	8484.v9i11.10990	NUM
easat-10990	105	17	©	©	PROPN
easat-10990	105	18	2025	2025	NUM
easat-10990	105	19	by	by	ADP
easat-10990	105	20	the	the	DET
easat-10990	105	21	authors	author	NOUN
easat-10990	105	22	;	;	PUNCT
easat-10990	105	23	licensee	licensee	PROPN
easat-10990	105	24	learning	learn	VERB
easat-10990	105	25	gate	gate	PROPN
easat-10990	105	26	figure	figure	NOUN
easat-10990	105	27	3	3	NUM
easat-10990	105	28	.	.	PUNCT
easat-10990	106	1	the	the	DET
easat-10990	106	2	maximum	maximum	ADJ
easat-10990	106	3	absolute	absolute	ADJ
easat-10990	106	4	error	error	NOUN
easat-10990	106	5	for	for	ADP
easat-10990	106	6	medium	medium	ADJ
easat-10990	106	7	grade	grade	NOUN
easat-10990	106	8	glioma	glioma	NOUN
easat-10990	106	9	.	.	PUNCT
easat-10990	107	1	table	table	NOUN
easat-10990	107	2	4	4	NUM
easat-10990	107	3	.	.	PUNCT
easat-10990	108	1	the	the	DET
easat-10990	108	2	number	number	NOUN
easat-10990	108	3	of	of	ADP
easat-10990	108	4	iterations	iteration	NOUN
easat-10990	108	5	,	,	PUNCT
easat-10990	108	6	maximum	maximum	ADJ
easat-10990	108	7	absolute	absolute	ADJ
easat-10990	108	8	error	error	NOUN
easat-10990	108	9	generated	generate	VERB
easat-10990	108	10	by	by	ADP
easat-10990	108	11	both	both	DET
easat-10990	108	12	gs	gs	PROPN
easat-10990	108	13	and	and	CCONJ
easat-10990	108	14	ksor	ksor	NOUN
easat-10990	108	15	at	at	ADP
easat-10990	108	16	different	different	ADJ
easat-10990	108	17	grid	grid	NOUN
easat-10990	108	18	sizes	size	NOUN
easat-10990	108	19	for	for	ADP
easat-10990	108	20	high	high	ADJ
easat-10990	108	21	grade	grade	NOUN
easat-10990	108	22	glioma	glioma	NOUN
easat-10990	108	23	.	.	PUNCT
easat-10990	109	1	grid	grid	NOUN
easat-10990	109	2	size	size	NOUN
easat-10990	109	3	method	method	NOUN
easat-10990	109	4	optimal	optimal	ADJ
easat-10990	109	5	ω	ω	NUM
easat-10990	109	6	iter	iter	NOUN
easat-10990	109	7	e	e	PROPN
easat-10990	109	8	t	t	PROPN
easat-10990	109	9	,	,	PUNCT
easat-10990	109	10	(	(	PUNCT
easat-10990	109	11	s	s	X
easat-10990	109	12	)	)	PUNCT
easat-10990	109	13	32	32	NUM
easat-10990	109	14	gs	gs	NOUN
easat-10990	109	15	1.0000	1.0000	NUM
easat-10990	109	16	53	53	NUM
easat-10990	109	17	5.35	5.35	NUM
easat-10990	109	18	x	x	SYM
easat-10990	109	19	0.0020	0.0020	NUM
easat-10990	109	20	ksor	ksor	NOUN
easat-10990	109	21	-3.419	-3.419	PUNCT
easat-10990	109	22	31	31	NUM
easat-10990	109	23	5.35	5.35	NUM
easat-10990	109	24	x	x	SYM
easat-10990	109	25	0.0011	0.0011	NUM
easat-10990	109	26	64	64	NUM
easat-10990	109	27	gs	gs	NUM
easat-10990	109	28	1.000	1.000	NUM
easat-10990	109	29	167	167	NUM
easat-10990	109	30	5.05x	5.05x	NUM
easat-10990	109	31	0.0209	0.0209	NUM
easat-10990	109	32	ksor	ksor	NOUN
easat-10990	109	33	-2.6086	-2.6086	NOUN
easat-10990	109	34	58	58	NUM
easat-10990	110	1	5.05x	5.05x	NUM
easat-10990	110	2	0.0080	0.0080	NUM
easat-10990	110	3	128	128	NUM
easat-10990	110	4	gs	gs	NOUN
easat-10990	110	5	1.000	1.000	NUM
easat-10990	110	6	583	583	NUM
easat-10990	110	7	4.97x	4.97x	NUM
easat-10990	110	8	0.2860	0.2860	NUM
easat-10990	110	9	ksor	ksor	NOUN
easat-10990	110	10	-2.2792	-2.2792	NOUN
easat-10990	110	11	111	111	NUM
easat-10990	110	12	4.97x	4.97x	PROPN
easat-10990	110	13	0.0709	0.0709	NUM
easat-10990	110	14	256	256	NUM
easat-10990	110	15	gs	gs	NUM
easat-10990	110	16	1.000	1.000	NUM
easat-10990	110	17	2116	2116	NUM
easat-10990	110	18	4.959x	4.959x	NUM
easat-10990	110	19	4.4602	4.4602	NUM
easat-10990	110	20	ksor	ksor	NOUN
easat-10990	110	21	-2.1334	-2.1334	NOUN
easat-10990	110	22	215	215	NUM
easat-10990	110	23	4.959x	4.959x	NUM
easat-10990	110	24	0.4912	0.4912	NUM
easat-10990	110	25	512	512	NUM
easat-10990	110	26	gs	gs	PART
easat-10990	110	27	1.000	1.000	NUM
easat-10990	110	28	7729	7729	NUM
easat-10990	111	1	4.954x	4.954x	NUM
easat-10990	111	2	75.8102	75.8102	NUM
easat-10990	111	3	ksor	ksor	NOUN
easat-10990	111	4	-2.0668	-2.0668	NOUN
easat-10990	111	5	410	410	NUM
easat-10990	111	6	4.954x	4.954x	NUM
easat-10990	111	7	16.6873	16.6873	NUM
easat-10990	111	8	774	774	NUM
easat-10990	111	9	edelweiss	edelweiss	PROPN
easat-10990	111	10	applied	apply	VERB
easat-10990	111	11	science	science	NOUN
easat-10990	111	12	and	and	CCONJ
easat-10990	111	13	technology	technology	NOUN
easat-10990	111	14	issn	issn	PROPN
easat-10990	111	15	:	:	PUNCT
easat-10990	111	16	2576	2576	NUM
easat-10990	111	17	-	-	SYM
easat-10990	111	18	8484	8484	NUM
easat-10990	111	19	vol	vol	NOUN
easat-10990	111	20	.	.	PROPN
easat-10990	112	1	9	9	NUM
easat-10990	112	2	,	,	PUNCT
easat-10990	112	3	no	no	INTJ
easat-10990	112	4	.	.	NOUN
easat-10990	112	5	11	11	NUM
easat-10990	112	6	:	:	PUNCT
easat-10990	112	7	766	766	NUM
easat-10990	112	8	-	-	SYM
easat-10990	112	9	776	776	NUM
easat-10990	112	10	,	,	PUNCT
easat-10990	112	11	2025	2025	NUM
easat-10990	112	12	doi	doi	NOUN
easat-10990	112	13	:	:	PUNCT
easat-10990	112	14	10.55214/2576	10.55214/2576	NUM
easat-10990	112	15	-	-	SYM
easat-10990	112	16	8484.v9i11.10990	8484.v9i11.10990	NUM
easat-10990	112	17	©	©	PROPN
easat-10990	112	18	2025	2025	NUM
easat-10990	112	19	by	by	ADP
easat-10990	112	20	the	the	DET
easat-10990	112	21	authors	author	NOUN
easat-10990	112	22	;	;	PUNCT
easat-10990	112	23	licensee	licensee	PROPN
easat-10990	112	24	learning	learn	VERB
easat-10990	112	25	gate	gate	NOUN
easat-10990	112	26	figure	figure	NOUN
easat-10990	112	27	4	4	NUM
easat-10990	112	28	.	.	PUNCT
easat-10990	113	1	the	the	DET
easat-10990	113	2	maximum	maximum	ADJ
easat-10990	113	3	absolute	absolute	ADJ
easat-10990	113	4	error	error	NOUN
easat-10990	113	5	for	for	ADP
easat-10990	113	6	high	high	ADJ
easat-10990	113	7	grade	grade	NOUN
easat-10990	113	8	glioma	glioma	NOUN
easat-10990	113	9	.	.	PUNCT
easat-10990	114	1	the	the	DET
easat-10990	114	2	computations	computation	NOUN
easat-10990	114	3	were	be	AUX
easat-10990	114	4	performed	perform	VERB
easat-10990	114	5	using	use	VERB
easat-10990	114	6	c	c	NOUN
easat-10990	114	7	programs	program	NOUN
easat-10990	114	8	on	on	ADP
easat-10990	114	9	a	a	DET
easat-10990	114	10	machine	machine	NOUN
easat-10990	114	11	equipped	equip	VERB
easat-10990	114	12	with	with	ADP
easat-10990	114	13	a	a	DET
easat-10990	114	14	ryzen	ryzen	ADJ
easat-10990	114	15	7	7	NUM
easat-10990	114	16	3880h	3880h	NOUN
easat-10990	114	17	cpu	cpu	NOUN
easat-10990	114	18	and	and	CCONJ
easat-10990	114	19	8	8	NUM
easat-10990	114	20	gb	gb	NOUN
easat-10990	114	21	of	of	ADP
easat-10990	114	22	ram	ram	NOUN
easat-10990	114	23	.	.	PUNCT
easat-10990	115	1	tables	table	NOUN
easat-10990	115	2	1–3	1–3	NUM
easat-10990	115	3	present	present	ADJ
easat-10990	115	4	the	the	DET
easat-10990	115	5	numerical	numerical	ADJ
easat-10990	115	6	results	result	NOUN
easat-10990	115	7	for	for	ADP
easat-10990	115	8	the	the	DET
easat-10990	115	9	test	test	NOUN
easat-10990	115	10	cases	case	NOUN
easat-10990	115	11	across	across	ADP
easat-10990	115	12	various	various	ADJ
easat-10990	115	13	grid	grid	NOUN
easat-10990	115	14	sizes	size	NOUN
easat-10990	115	15	,	,	PUNCT
easat-10990	115	16	while	while	SCONJ
easat-10990	115	17	table	table	NOUN
easat-10990	115	18	4	4	NUM
easat-10990	115	19	summarizes	summarize	NOUN
easat-10990	115	20	the	the	DET
easat-10990	115	21	percentage	percentage	NOUN
easat-10990	115	22	reductions	reduction	NOUN
easat-10990	115	23	in	in	ADP
easat-10990	115	24	iteration	iteration	NOUN
easat-10990	115	25	count	count	NOUN
easat-10990	115	26	and	and	CCONJ
easat-10990	115	27	execution	execution	NOUN
easat-10990	115	28	time	time	NOUN
easat-10990	115	29	of	of	ADP
easat-10990	115	30	ksor	ksor	NOUN
easat-10990	115	31	compared	compare	VERB
easat-10990	115	32	with	with	ADP
easat-10990	115	33	gs	gs	PROPN
easat-10990	115	34	.	.	PUNCT
easat-10990	116	1	the	the	DET
easat-10990	116	2	data	datum	NOUN
easat-10990	116	3	indicate	indicate	VERB
easat-10990	116	4	that	that	SCONJ
easat-10990	116	5	ksor	ksor	NOUN
easat-10990	116	6	consistently	consistently	ADV
easat-10990	116	7	outperforms	outperform	VERB
easat-10990	116	8	gs	gs	PROPN
easat-10990	116	9	,	,	PUNCT
easat-10990	116	10	achieving	achieve	VERB
easat-10990	116	11	up	up	ADP
easat-10990	116	12	to	to	ADP
easat-10990	116	13	a	a	DET
easat-10990	116	14	94.65	94.65	NUM
easat-10990	116	15	%	%	NOUN
easat-10990	116	16	reduction	reduction	NOUN
easat-10990	116	17	in	in	ADP
easat-10990	116	18	iterations	iteration	NOUN
easat-10990	116	19	at	at	ADP
easat-10990	116	20	the	the	DET
easat-10990	116	21	512	512	NUM
easat-10990	116	22	×	×	NOUN
easat-10990	116	23	512	512	NUM
easat-10990	116	24	grid	grid	NOUN
easat-10990	116	25	size	size	NOUN
easat-10990	116	26	.	.	PUNCT
easat-10990	117	1	additionally	additionally	ADV
easat-10990	117	2	,	,	PUNCT
easat-10990	117	3	the	the	DET
easat-10990	117	4	computational	computational	ADJ
easat-10990	117	5	time	time	NOUN
easat-10990	117	6	required	require	VERB
easat-10990	117	7	for	for	ADP
easat-10990	117	8	the	the	DET
easat-10990	117	9	simulations	simulation	NOUN
easat-10990	117	10	was	be	AUX
easat-10990	117	11	reduced	reduce	VERB
easat-10990	117	12	by	by	ADP
easat-10990	117	13	an	an	DET
easat-10990	117	14	average	average	NOUN
easat-10990	117	15	of	of	ADP
easat-10990	117	16	80.51	80.51	NUM
easat-10990	117	17	%	%	NOUN
easat-10990	117	18	for	for	ADP
easat-10990	117	19	the	the	DET
easat-10990	117	20	largest	large	ADJ
easat-10990	117	21	grids	grid	NOUN
easat-10990	117	22	tested	test	VERB
easat-10990	117	23	.	.	PUNCT
easat-10990	118	1	figures	figure	VERB
easat-10990	118	2	1–3	1–3	NUM
easat-10990	118	3	plot	plot	NOUN
easat-10990	118	4	the	the	DET
easat-10990	118	5	maximum	maximum	ADJ
easat-10990	118	6	absolute	absolute	ADJ
easat-10990	118	7	error	error	NOUN
easat-10990	118	8	for	for	ADP
easat-10990	118	9	both	both	DET
easat-10990	118	10	methods	method	NOUN
easat-10990	118	11	,	,	PUNCT
easat-10990	118	12	illustrating	illustrate	VERB
easat-10990	118	13	that	that	SCONJ
easat-10990	118	14	as	as	ADP
easat-10990	118	15	the	the	DET
easat-10990	118	16	grid	grid	NOUN
easat-10990	118	17	resolution	resolution	NOUN
easat-10990	118	18	increases	increase	NOUN
easat-10990	118	19	,	,	PUNCT
easat-10990	118	20	the	the	DET
easat-10990	118	21	numerical	numerical	ADJ
easat-10990	118	22	solution	solution	NOUN
easat-10990	118	23	converges	converge	VERB
easat-10990	118	24	more	more	ADV
easat-10990	118	25	closely	closely	ADV
easat-10990	118	26	to	to	ADP
easat-10990	118	27	the	the	DET
easat-10990	118	28	exact	exact	ADJ
easat-10990	118	29	solution	solution	NOUN
easat-10990	118	30	.	.	PUNCT
easat-10990	119	1	6	6	X
easat-10990	119	2	.	.	X
easat-10990	119	3	conclusion	conclusion	NOUN
easat-10990	119	4	in	in	ADP
easat-10990	119	5	conclusion	conclusion	NOUN
easat-10990	119	6	,	,	PUNCT
easat-10990	119	7	this	this	DET
easat-10990	119	8	study	study	NOUN
easat-10990	119	9	demonstrated	demonstrate	VERB
easat-10990	119	10	the	the	DET
easat-10990	119	11	effectiveness	effectiveness	NOUN
easat-10990	119	12	of	of	ADP
easat-10990	119	13	iterative	iterative	ADJ
easat-10990	119	14	numerical	numerical	ADJ
easat-10990	119	15	methods	method	NOUN
easat-10990	119	16	for	for	ADP
easat-10990	119	17	solving	solve	VERB
easat-10990	119	18	the	the	DET
easat-10990	119	19	2d	2d	NUM
easat-10990	119	20	parabolic	parabolic	ADJ
easat-10990	119	21	equation	equation	NOUN
easat-10990	119	22	modeling	model	VERB
easat-10990	119	23	widely	widely	ADV
easat-10990	119	24	employed	employ	VERB
easat-10990	119	25	in	in	ADP
easat-10990	119	26	studying	study	VERB
easat-10990	119	27	brain	brain	NOUN
easat-10990	119	28	tumour	tumour	NOUN
easat-10990	119	29	cell	cell	NOUN
easat-10990	119	30	distribution	distribution	NOUN
easat-10990	119	31	.	.	PUNCT
easat-10990	120	1	by	by	ADP
easat-10990	120	2	discretizing	discretize	VERB
easat-10990	120	3	the	the	DET
easat-10990	120	4	two	two	NUM
easat-10990	120	5	-	-	PUNCT
easat-10990	120	6	dimensional	dimensional	ADJ
easat-10990	120	7	spatial	spatial	ADJ
easat-10990	120	8	domain	domain	NOUN
easat-10990	120	9	and	and	CCONJ
easat-10990	120	10	formulating	formulate	VERB
easat-10990	120	11	the	the	DET
easat-10990	120	12	problem	problem	NOUN
easat-10990	120	13	as	as	ADP
easat-10990	120	14	a	a	DET
easat-10990	120	15	sparse	sparse	ADJ
easat-10990	120	16	linear	linear	ADJ
easat-10990	120	17	system	system	NOUN
easat-10990	120	18	,	,	PUNCT
easat-10990	120	19	we	we	PRON
easat-10990	120	20	compared	compare	VERB
easat-10990	120	21	the	the	DET
easat-10990	120	22	performance	performance	NOUN
easat-10990	120	23	of	of	ADP
easat-10990	120	24	the	the	DET
easat-10990	120	25	gauss	gauss	PROPN
easat-10990	120	26	–	–	PUNCT
easat-10990	120	27	seidel	seidel	PROPN
easat-10990	120	28	(	(	PUNCT
easat-10990	120	29	gs	gs	NOUN
easat-10990	120	30	)	)	PUNCT
easat-10990	120	31	and	and	CCONJ
easat-10990	120	32	kaudd	kaudd	PROPN
easat-10990	120	33	successive	successive	ADJ
easat-10990	120	34	over	over	ADP
easat-10990	120	35	-	-	PUNCT
easat-10990	120	36	relaxation	relaxation	NOUN
easat-10990	120	37	(	(	PUNCT
easat-10990	120	38	ksor	ksor	NOUN
easat-10990	120	39	)	)	PUNCT
easat-10990	120	40	solvers	solver	NOUN
easat-10990	120	41	.	.	PUNCT
easat-10990	121	1	the	the	DET
easat-10990	121	2	results	result	NOUN
easat-10990	121	3	show	show	VERB
easat-10990	121	4	that	that	SCONJ
easat-10990	121	5	ksor	ksor	NOUN
easat-10990	121	6	consistently	consistently	ADV
easat-10990	121	7	outperformed	outperform	VERB
easat-10990	121	8	gs	gs	PROPN
easat-10990	121	9	,	,	PUNCT
easat-10990	121	10	offering	offer	VERB
easat-10990	121	11	faster	fast	ADJ
easat-10990	121	12	convergence	convergence	NOUN
easat-10990	121	13	and	and	CCONJ
easat-10990	121	14	reduced	reduce	VERB
easat-10990	121	15	computational	computational	ADJ
easat-10990	121	16	time	time	NOUN
easat-10990	121	17	while	while	SCONJ
easat-10990	121	18	maintaining	maintain	VERB
easat-10990	121	19	comparable	comparable	ADJ
easat-10990	121	20	accuracy	accuracy	NOUN
easat-10990	121	21	based	base	VERB
easat-10990	121	22	on	on	ADP
easat-10990	121	23	the	the	DET
easat-10990	121	24	exact	exact	ADJ
easat-10990	121	25	solution	solution	NOUN
easat-10990	121	26	.	.	PUNCT
easat-10990	122	1	these	these	DET
easat-10990	122	2	findings	finding	NOUN
easat-10990	122	3	highlight	highlight	VERB
easat-10990	122	4	the	the	DET
easat-10990	122	5	importance	importance	NOUN
easat-10990	122	6	of	of	ADP
easat-10990	122	7	selecting	select	VERB
easat-10990	122	8	an	an	DET
easat-10990	122	9	efficient	efficient	ADJ
easat-10990	122	10	iterative	iterative	NOUN
easat-10990	122	11	solver	solver	NOUN
easat-10990	122	12	to	to	PART
easat-10990	122	13	exploit	exploit	VERB
easat-10990	122	14	the	the	DET
easat-10990	122	15	blocktridiagonal	blocktridiagonal	ADJ
easat-10990	122	16	structure	structure	NOUN
easat-10990	122	17	of	of	ADP
easat-10990	122	18	the	the	DET
easat-10990	122	19	discretized	discretized	ADJ
easat-10990	122	20	system	system	NOUN
easat-10990	122	21	.	.	PUNCT
easat-10990	123	1	the	the	DET
easat-10990	123	2	approach	approach	NOUN
easat-10990	123	3	provides	provide	VERB
easat-10990	123	4	a	a	DET
easat-10990	123	5	practical	practical	ADJ
easat-10990	123	6	and	and	CCONJ
easat-10990	123	7	reliable	reliable	ADJ
easat-10990	123	8	framework	framework	NOUN
easat-10990	123	9	for	for	ADP
easat-10990	123	10	analyzing	analyze	VERB
easat-10990	123	11	tumour	tumour	NOUN
easat-10990	123	12	dynamics	dynamic	NOUN
easat-10990	123	13	and	and	CCONJ
easat-10990	123	14	can	can	AUX
easat-10990	123	15	be	be	AUX
easat-10990	123	16	extended	extend	VERB
easat-10990	123	17	to	to	ADP
easat-10990	123	18	more	more	ADJ
easat-10990	123	19	complex	complex	ADJ
easat-10990	123	20	models	model	NOUN
easat-10990	123	21	and	and	CCONJ
easat-10990	123	22	higherdimensional	higherdimensional	ADJ
easat-10990	123	23	problems	problem	NOUN
easat-10990	123	24	in	in	ADP
easat-10990	123	25	computational	computational	ADJ
easat-10990	123	26	oncology	oncology	NOUN
easat-10990	123	27	.	.	PUNCT
easat-10990	124	1	funding	funding	NOUN
easat-10990	124	2	:	:	PUNCT
easat-10990	124	3	the	the	DET
easat-10990	124	4	authors	author	NOUN
easat-10990	124	5	are	be	AUX
easat-10990	124	6	grateful	grateful	ADJ
easat-10990	124	7	for	for	ADP
easat-10990	124	8	the	the	DET
easat-10990	124	9	fund	fund	NOUN
easat-10990	124	10	received	receive	VERB
easat-10990	124	11	from	from	ADP
easat-10990	124	12	ministry	ministry	PROPN
easat-10990	124	13	of	of	ADP
easat-10990	124	14	higher	high	ADJ
easat-10990	124	15	education	education	NOUN
easat-10990	124	16	(	(	PUNCT
easat-10990	124	17	mohe	mohe	NOUN
easat-10990	124	18	)	)	PUNCT
easat-10990	124	19	upon	upon	SCONJ
easat-10990	124	20	the	the	DET
easat-10990	124	21	publication	publication	NOUN
easat-10990	124	22	of	of	ADP
easat-10990	124	23	this	this	DET
easat-10990	124	24	paper	paper	NOUN
easat-10990	124	25	(	(	PUNCT
easat-10990	124	26	frgs/1/2024	frgs/1/2024	NOUN
easat-10990	124	27	/	/	SYM
easat-10990	124	28	stg06	stg06	NOUN
easat-10990	124	29	/	/	SYM
easat-10990	124	30	ums/01/1	ums/01/1	NOUN
easat-10990	124	31	)	)	PUNCT
easat-10990	124	32	.	.	PUNCT
easat-10990	125	1	declaration	declaration	NOUN
easat-10990	125	2	:	:	PUNCT
easat-10990	125	3	all	all	DET
easat-10990	125	4	data	datum	NOUN
easat-10990	125	5	used	use	VERB
easat-10990	125	6	in	in	ADP
easat-10990	125	7	this	this	DET
easat-10990	125	8	study	study	NOUN
easat-10990	125	9	were	be	AUX
easat-10990	125	10	generated	generate	VERB
easat-10990	125	11	via	via	ADP
easat-10990	125	12	computational	computational	ADJ
easat-10990	125	13	models	model	NOUN
easat-10990	125	14	;	;	PUNCT
easat-10990	125	15	no	no	DET
easat-10990	125	16	human	human	ADJ
easat-10990	125	17	participants	participant	NOUN
easat-10990	125	18	were	be	AUX
easat-10990	125	19	involved	involve	VERB
easat-10990	125	20	.	.	PUNCT
easat-10990	126	1	775	775	NUM
easat-10990	126	2	edelweiss	edelweiss	PROPN
easat-10990	126	3	applied	apply	VERB
easat-10990	126	4	science	science	NOUN
easat-10990	126	5	and	and	CCONJ
easat-10990	126	6	technology	technology	NOUN
easat-10990	126	7	issn	issn	PROPN
easat-10990	126	8	:	:	PUNCT
easat-10990	126	9	2576	2576	NUM
easat-10990	126	10	-	-	SYM
easat-10990	126	11	8484	8484	NUM
easat-10990	126	12	vol	vol	NOUN
easat-10990	126	13	.	.	PROPN
easat-10990	127	1	9	9	NUM
easat-10990	127	2	,	,	PUNCT
easat-10990	127	3	no	no	INTJ
easat-10990	127	4	.	.	NOUN
easat-10990	127	5	11	11	NUM
easat-10990	127	6	:	:	PUNCT
easat-10990	127	7	766	766	NUM
easat-10990	127	8	-	-	SYM
easat-10990	127	9	776	776	NUM
easat-10990	127	10	,	,	PUNCT
easat-10990	127	11	2025	2025	NUM
easat-10990	127	12	doi	doi	NOUN
easat-10990	127	13	:	:	PUNCT
easat-10990	127	14	10.55214/2576	10.55214/2576	NUM
easat-10990	127	15	-	-	SYM
easat-10990	127	16	8484.v9i11.10990	8484.v9i11.10990	NUM
easat-10990	127	17	©	©	PROPN
easat-10990	127	18	2025	2025	NUM
easat-10990	127	19	by	by	ADP
easat-10990	127	20	the	the	DET
easat-10990	127	21	authors	author	NOUN
easat-10990	127	22	;	;	PUNCT
easat-10990	128	1	licensee	licensee	PROPN
easat-10990	128	2	learning	learn	VERB
easat-10990	128	3	gate	gate	NOUN
easat-10990	128	4	transparency	transparency	NOUN
easat-10990	128	5	:	:	PUNCT
easat-10990	128	6	the	the	DET
easat-10990	128	7	authors	author	NOUN
easat-10990	128	8	confirm	confirm	VERB
easat-10990	128	9	that	that	SCONJ
easat-10990	128	10	the	the	DET
easat-10990	128	11	manuscript	manuscript	NOUN
easat-10990	128	12	is	be	AUX
easat-10990	128	13	an	an	DET
easat-10990	128	14	honest	honest	ADJ
easat-10990	128	15	,	,	PUNCT
easat-10990	128	16	accurate	accurate	ADJ
easat-10990	128	17	,	,	PUNCT
easat-10990	128	18	and	and	CCONJ
easat-10990	128	19	transparent	transparent	ADJ
easat-10990	128	20	account	account	NOUN
easat-10990	128	21	of	of	ADP
easat-10990	128	22	the	the	DET
easat-10990	128	23	study	study	NOUN
easat-10990	128	24	;	;	PUNCT
easat-10990	128	25	that	that	SCONJ
easat-10990	128	26	no	no	DET
easat-10990	128	27	vital	vital	ADJ
easat-10990	128	28	features	feature	NOUN
easat-10990	128	29	of	of	ADP
easat-10990	128	30	the	the	DET
easat-10990	128	31	study	study	NOUN
easat-10990	128	32	have	have	AUX
easat-10990	128	33	been	be	AUX
easat-10990	128	34	omitted	omit	VERB
easat-10990	128	35	;	;	PUNCT
easat-10990	128	36	and	and	CCONJ
easat-10990	128	37	that	that	SCONJ
easat-10990	128	38	any	any	DET
easat-10990	128	39	discrepancies	discrepancy	NOUN
easat-10990	128	40	from	from	ADP
easat-10990	128	41	the	the	DET
easat-10990	128	42	study	study	NOUN
easat-10990	128	43	as	as	SCONJ
easat-10990	128	44	planned	plan	VERB
easat-10990	128	45	have	have	AUX
easat-10990	128	46	been	be	AUX
easat-10990	128	47	explained	explain	VERB
easat-10990	128	48	.	.	PUNCT
easat-10990	129	1	this	this	DET
easat-10990	129	2	study	study	NOUN
easat-10990	129	3	followed	follow	VERB
easat-10990	129	4	all	all	DET
easat-10990	129	5	ethical	ethical	ADJ
easat-10990	129	6	practices	practice	NOUN
easat-10990	129	7	during	during	ADP
easat-10990	129	8	writing	writing	NOUN
easat-10990	129	9	.	.	PUNCT
easat-10990	130	1	copyright	copyright	NOUN
easat-10990	130	2	:	:	PUNCT
easat-10990	130	3	©	©	PROPN
easat-10990	130	4	2025	2025	NUM
easat-10990	130	5	by	by	ADP
easat-10990	130	6	the	the	DET
easat-10990	130	7	authors	author	NOUN
easat-10990	130	8	.	.	PUNCT
easat-10990	131	1	this	this	DET
easat-10990	131	2	article	article	NOUN
easat-10990	131	3	is	be	AUX
easat-10990	131	4	an	an	DET
easat-10990	131	5	open	open	ADJ
easat-10990	131	6	-	-	PUNCT
easat-10990	131	7	access	access	NOUN
easat-10990	131	8	article	article	NOUN
easat-10990	131	9	distributed	distribute	VERB
easat-10990	131	10	under	under	ADP
easat-10990	131	11	the	the	DET
easat-10990	131	12	terms	term	NOUN
easat-10990	131	13	and	and	CCONJ
easat-10990	131	14	conditions	condition	NOUN
easat-10990	131	15	of	of	ADP
easat-10990	131	16	the	the	DET
easat-10990	131	17	creative	creative	ADJ
easat-10990	131	18	commons	common	NOUN
easat-10990	131	19	attribution	attribution	NOUN
easat-10990	131	20	(	(	PUNCT
easat-10990	131	21	cc	cc	NOUN
easat-10990	131	22	by	by	ADP
easat-10990	131	23	)	)	PUNCT
easat-10990	131	24	license	license	NOUN
easat-10990	131	25	(	(	PUNCT
easat-10990	131	26	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
easat-10990	131	27	)	)	PUNCT
easat-10990	131	28	.	.	PUNCT
easat-10990	132	1	references	reference	NOUN
easat-10990	132	2	[	[	X
easat-10990	132	3	1	1	X
easat-10990	132	4	]	]	PUNCT
easat-10990	132	5	d.	d.	PROPN
easat-10990	132	6	n.	n.	PROPN
easat-10990	132	7	louis	louis	PROPN
easat-10990	133	1	et	et	PROPN
easat-10990	133	2	al	al	PROPN
easat-10990	133	3	.	.	PROPN
easat-10990	133	4	,	,	PUNCT
easat-10990	133	5	"	"	PUNCT
easat-10990	133	6	the	the	DET
easat-10990	133	7	2016	2016	NUM
easat-10990	133	8	world	world	PROPN
easat-10990	133	9	health	health	NOUN
easat-10990	133	10	organization	organization	NOUN
easat-10990	133	11	classification	classification	NOUN
easat-10990	133	12	of	of	ADP
easat-10990	133	13	tumors	tumor	NOUN
easat-10990	133	14	of	of	ADP
easat-10990	133	15	the	the	DET
easat-10990	133	16	central	central	ADJ
easat-10990	133	17	nervous	nervous	ADJ
easat-10990	133	18	system	system	NOUN
easat-10990	133	19	:	:	PUNCT
easat-10990	133	20	a	a	DET
easat-10990	133	21	summary	summary	NOUN
easat-10990	133	22	,	,	PUNCT
easat-10990	133	23	"	"	PUNCT
easat-10990	133	24	acta	acta	PROPN
easat-10990	133	25	neuropathologica	neuropathologica	PROPN
easat-10990	133	26	,	,	PUNCT
easat-10990	133	27	vol	vol	NOUN
easat-10990	133	28	.	.	PROPN
easat-10990	134	1	131	131	NUM
easat-10990	134	2	,	,	PUNCT
easat-10990	134	3	pp	pp	ADJ
easat-10990	134	4	.	.	PUNCT
easat-10990	135	1	803	803	NUM
easat-10990	135	2	-	-	SYM
easat-10990	135	3	820	820	NUM
easat-10990	135	4	,	,	PUNCT
easat-10990	135	5	2016	2016	NUM
easat-10990	135	6	.	.	PUNCT
easat-10990	136	1	https://doi.org/10.1007/s00401-016-1545-1	https://doi.org/10.1007/s00401-016-1545-1	PUNCT
easat-10990	137	1	[	[	X
easat-10990	137	2	2	2	NUM
easat-10990	137	3	]	]	PUNCT
easat-10990	137	4	q.	q.	PROPN
easat-10990	137	5	t.	t.	PROPN
easat-10990	137	6	ostrom	ostrom	PROPN
easat-10990	137	7	,	,	PUNCT
easat-10990	137	8	g.	g.	PROPN
easat-10990	137	9	cioffi	cioffi	PROPN
easat-10990	137	10	,	,	PUNCT
easat-10990	137	11	k.	k.	PROPN
easat-10990	137	12	waite	waite	PROPN
easat-10990	137	13	,	,	PUNCT
easat-10990	137	14	c.	c.	PROPN
easat-10990	137	15	kruchko	kruchko	PROPN
easat-10990	137	16	,	,	PUNCT
easat-10990	137	17	and	and	CCONJ
easat-10990	137	18	j.	j.	PROPN
easat-10990	137	19	s.	s.	PROPN
easat-10990	137	20	barnholtz	barnholtz	PROPN
easat-10990	137	21	-	-	PUNCT
easat-10990	137	22	sloan	sloan	NOUN
easat-10990	137	23	,	,	PUNCT
easat-10990	137	24	"	"	PUNCT
easat-10990	137	25	cbtrus	cbtrus	NOUN
easat-10990	137	26	statistical	statistical	ADJ
easat-10990	137	27	report	report	NOUN
easat-10990	137	28	:	:	PUNCT
easat-10990	137	29	primary	primary	ADJ
easat-10990	137	30	brain	brain	NOUN
easat-10990	137	31	and	and	CCONJ
easat-10990	137	32	other	other	ADJ
easat-10990	137	33	central	central	ADJ
easat-10990	137	34	nervous	nervous	ADJ
easat-10990	137	35	system	system	NOUN
easat-10990	137	36	tumors	tumor	NOUN
easat-10990	137	37	diagnosed	diagnose	VERB
easat-10990	137	38	in	in	ADP
easat-10990	137	39	the	the	DET
easat-10990	137	40	united	united	PROPN
easat-10990	137	41	states	states	PROPN
easat-10990	137	42	in	in	ADP
easat-10990	137	43	2014–2018	2014–2018	NUM
easat-10990	137	44	,	,	PUNCT
easat-10990	137	45	"	"	PUNCT
easat-10990	137	46	neuro	neuro	NOUN
easat-10990	137	47	-	-	PUNCT
easat-10990	137	48	oncology	oncology	NOUN
easat-10990	137	49	,	,	PUNCT
easat-10990	137	50	vol	vol	NOUN
easat-10990	137	51	.	.	PROPN
easat-10990	137	52	23	23	NUM
easat-10990	137	53	,	,	PUNCT
easat-10990	137	54	no	no	INTJ
easat-10990	137	55	.	.	PUNCT
easat-10990	138	1	supplement_3	supplement_3	PROPN
easat-10990	138	2	,	,	PUNCT
easat-10990	138	3	pp	pp	PROPN
easat-10990	138	4	.	.	PUNCT
easat-10990	139	1	iii1	iii1	PROPN
easat-10990	139	2	-	-	PUNCT
easat-10990	139	3	iii105	iii105	PROPN
easat-10990	139	4	,	,	PUNCT
easat-10990	139	5	2021	2021	NUM
easat-10990	139	6	.	.	PUNCT
easat-10990	140	1	https://doi.org/10.1093/neuonc/noab200	https://doi.org/10.1093/neuonc/noab200	X
easat-10990	141	1	[	[	X
easat-10990	141	2	3	3	NUM
easat-10990	141	3	]	]	X
easat-10990	141	4	r.	r.	PROPN
easat-10990	141	5	stupp	stupp	PROPN
easat-10990	141	6	et	et	PROPN
easat-10990	141	7	al	al	PROPN
easat-10990	141	8	.	.	PROPN
easat-10990	141	9	,	,	PUNCT
easat-10990	141	10	"	"	PUNCT
easat-10990	141	11	radiotherapy	radiotherapy	NOUN
easat-10990	141	12	plus	plus	CCONJ
easat-10990	141	13	concomitant	concomitant	ADJ
easat-10990	141	14	and	and	CCONJ
easat-10990	141	15	adjuvant	adjuvant	ADJ
easat-10990	141	16	temozolomide	temozolomide	NOUN
easat-10990	141	17	for	for	ADP
easat-10990	141	18	glioblastoma	glioblastoma	NOUN
easat-10990	141	19	,	,	PUNCT
easat-10990	141	20	"	"	PUNCT
easat-10990	141	21	new	new	PROPN
easat-10990	141	22	england	england	PROPN
easat-10990	141	23	journal	journal	PROPN
easat-10990	141	24	of	of	ADP
easat-10990	141	25	medicine	medicine	NOUN
easat-10990	141	26	,	,	PUNCT
easat-10990	141	27	vol	vol	NOUN
easat-10990	141	28	.	.	PROPN
easat-10990	141	29	352	352	NUM
easat-10990	141	30	,	,	PUNCT
easat-10990	141	31	no	no	INTJ
easat-10990	141	32	.	.	NOUN
easat-10990	141	33	10	10	NUM
easat-10990	141	34	,	,	PUNCT
easat-10990	141	35	pp	pp	ADJ
easat-10990	141	36	.	.	PUNCT
easat-10990	142	1	987	987	NUM
easat-10990	142	2	-	-	SYM
easat-10990	142	3	996	996	NUM
easat-10990	142	4	,	,	PUNCT
easat-10990	142	5	2005	2005	NUM
easat-10990	142	6	.	.	PUNCT
easat-10990	143	1	https://doi.org/10.1056/nejmoa043330	https://doi.org/10.1056/nejmoa043330	NOUN
easat-10990	143	2	[	[	X
easat-10990	143	3	4	4	NUM
easat-10990	143	4	]	]	PUNCT
easat-10990	143	5	c.	c.	PROPN
easat-10990	143	6	n.	n.	PROPN
easat-10990	143	7	jones	jones	PROPN
easat-10990	143	8	,	,	PUNCT
easat-10990	143	9	t.	t.	PROPN
easat-10990	143	10	akbari	akbari	PROPN
easat-10990	143	11	,	,	PUNCT
easat-10990	143	12	and	and	CCONJ
easat-10990	143	13	a.	a.	NOUN
easat-10990	143	14	nabors	nabor	NOUN
easat-10990	143	15	,	,	PUNCT
easat-10990	143	16	"	"	PUNCT
easat-10990	143	17	advances	advance	NOUN
easat-10990	143	18	in	in	ADP
easat-10990	143	19	diffusion‑based	diffusion‑base	VERB
easat-10990	143	20	modeling	modeling	NOUN
easat-10990	143	21	of	of	ADP
easat-10990	143	22	glioma	glioma	NOUN
easat-10990	143	23	invasion	invasion	NOUN
easat-10990	143	24	:	:	PUNCT
easat-10990	143	25	bridging	bridge	VERB
easat-10990	143	26	imaging	imaging	NOUN
easat-10990	143	27	and	and	CCONJ
easat-10990	143	28	computational	computational	ADJ
easat-10990	143	29	oncology	oncology	NOUN
easat-10990	143	30	,	,	PUNCT
easat-10990	143	31	"	"	PUNCT
easat-10990	143	32	frontiers	frontier	NOUN
easat-10990	143	33	in	in	ADP
easat-10990	143	34	oncology	oncology	NOUN
easat-10990	143	35	,	,	PUNCT
easat-10990	143	36	vol	vol	NOUN
easat-10990	143	37	.	.	PROPN
easat-10990	143	38	13	13	NUM
easat-10990	143	39	,	,	PUNCT
easat-10990	143	40	p.	p.	NOUN
easat-10990	143	41	article	article	PROPN
easat-10990	143	42	 	 	SPACE
easat-10990	143	43	1123401	1123401	NUM
easat-10990	143	44	,	,	PUNCT
easat-10990	143	45	2023	2023	NUM
easat-10990	143	46	.	.	PUNCT
easat-10990	144	1	[	[	X
easat-10990	144	2	5	5	X
easat-10990	144	3	]	]	PUNCT
easat-10990	144	4	k.	k.	PROPN
easat-10990	144	5	r.	r.	PROPN
easat-10990	144	6	swanson	swanson	PROPN
easat-10990	144	7	,	,	PUNCT
easat-10990	144	8	e.	e.	PROPN
easat-10990	144	9	c.	c.	PROPN
easat-10990	144	10	alvord	alvord	PROPN
easat-10990	144	11	jr	jr	PROPN
easat-10990	144	12	,	,	PUNCT
easat-10990	144	13	and	and	CCONJ
easat-10990	144	14	j.	j.	PROPN
easat-10990	144	15	d.	d.	PROPN
easat-10990	144	16	murray	murray	PROPN
easat-10990	144	17	,	,	PUNCT
easat-10990	144	18	"	"	PUNCT
easat-10990	144	19	a	a	DET
easat-10990	144	20	quantitative	quantitative	ADJ
easat-10990	144	21	model	model	NOUN
easat-10990	144	22	for	for	ADP
easat-10990	144	23	differential	differential	ADJ
easat-10990	144	24	motility	motility	NOUN
easat-10990	144	25	of	of	ADP
easat-10990	144	26	gliomas	glioma	NOUN
easat-10990	144	27	in	in	ADP
easat-10990	144	28	grey	grey	PROPN
easat-10990	144	29	and	and	CCONJ
easat-10990	144	30	white	white	ADJ
easat-10990	144	31	matter	matter	NOUN
easat-10990	144	32	,	,	PUNCT
easat-10990	144	33	"	"	PUNCT
easat-10990	144	34	cell	cell	NOUN
easat-10990	144	35	proliferation	proliferation	NOUN
easat-10990	144	36	,	,	PUNCT
easat-10990	144	37	vol	vol	NOUN
easat-10990	144	38	.	.	PROPN
easat-10990	144	39	33	33	NUM
easat-10990	144	40	,	,	PUNCT
easat-10990	144	41	no	no	INTJ
easat-10990	144	42	.	.	NOUN
easat-10990	144	43	5	5	NUM
easat-10990	144	44	,	,	PUNCT
easat-10990	144	45	pp	pp	ADJ
easat-10990	144	46	.	.	PUNCT
easat-10990	145	1	317	317	NUM
easat-10990	145	2	-	-	SYM
easat-10990	145	3	329	329	NUM
easat-10990	145	4	,	,	PUNCT
easat-10990	145	5	2000	2000	NUM
easat-10990	145	6	.	.	PUNCT
easat-10990	146	1	https://doi.org/10.1046/j.13652184.2000.00177.x	https://doi.org/10.1046/j.13652184.2000.00177.x	X
easat-10990	147	1	[	[	X
easat-10990	147	2	6	6	NUM
easat-10990	147	3	]	]	PUNCT
easat-10990	147	4	k.	k.	PROPN
easat-10990	147	5	r.	r.	PROPN
easat-10990	147	6	swanson	swanson	PROPN
easat-10990	147	7	,	,	PUNCT
easat-10990	147	8	c.	c.	PROPN
easat-10990	147	9	bridge	bridge	PROPN
easat-10990	147	10	,	,	PUNCT
easat-10990	147	11	j.	j.	PROPN
easat-10990	147	12	murray	murray	PROPN
easat-10990	147	13	,	,	PUNCT
easat-10990	147	14	and	and	CCONJ
easat-10990	147	15	e.	e.	PROPN
easat-10990	147	16	c.	c.	PROPN
easat-10990	147	17	alvord	alvord	PROPN
easat-10990	147	18	jr	jr	PROPN
easat-10990	147	19	,	,	PUNCT
easat-10990	147	20	"	"	PUNCT
easat-10990	147	21	virtual	virtual	ADJ
easat-10990	147	22	and	and	CCONJ
easat-10990	147	23	real	real	ADJ
easat-10990	147	24	brain	brain	NOUN
easat-10990	147	25	tumors	tumor	NOUN
easat-10990	147	26	:	:	PUNCT
easat-10990	147	27	using	use	VERB
easat-10990	147	28	mathematical	mathematical	ADJ
easat-10990	147	29	modeling	modeling	NOUN
easat-10990	147	30	to	to	PART
easat-10990	147	31	quantify	quantify	VERB
easat-10990	147	32	glioma	glioma	NOUN
easat-10990	147	33	growth	growth	NOUN
easat-10990	147	34	and	and	CCONJ
easat-10990	147	35	invasion	invasion	NOUN
easat-10990	147	36	,	,	PUNCT
easat-10990	147	37	"	"	PUNCT
easat-10990	147	38	journal	journal	NOUN
easat-10990	147	39	of	of	ADP
easat-10990	147	40	the	the	DET
easat-10990	147	41	neurological	neurological	ADJ
easat-10990	147	42	sciences	science	NOUN
easat-10990	147	43	,	,	PUNCT
easat-10990	147	44	vol	vol	NOUN
easat-10990	147	45	.	.	PROPN
easat-10990	147	46	216	216	NUM
easat-10990	147	47	,	,	PUNCT
easat-10990	147	48	no	no	INTJ
easat-10990	147	49	.	.	NOUN
easat-10990	147	50	1	1	NUM
easat-10990	147	51	,	,	PUNCT
easat-10990	147	52	pp	pp	ADJ
easat-10990	147	53	.	.	PUNCT
easat-10990	148	1	1	1	NUM
easat-10990	148	2	-	-	SYM
easat-10990	148	3	10	10	NUM
easat-10990	148	4	,	,	PUNCT
easat-10990	148	5	2003	2003	NUM
easat-10990	148	6	.	.	PUNCT
easat-10990	149	1	https://doi.org/10.1016/j.jns.2003.06.001	https://doi.org/10.1016/j.jns.2003.06.001	X
easat-10990	150	1	[	[	X
easat-10990	150	2	7	7	X
easat-10990	150	3	]	]	PUNCT
easat-10990	150	4	k.	k.	PROPN
easat-10990	150	5	r.	r.	PROPN
easat-10990	150	6	swanson	swanson	PROPN
easat-10990	150	7	,	,	PUNCT
easat-10990	150	8	r.	r.	PROPN
easat-10990	150	9	c.	c.	PROPN
easat-10990	150	10	rostomily	rostomily	ADV
easat-10990	150	11	,	,	PUNCT
easat-10990	150	12	and	and	CCONJ
easat-10990	150	13	e.	e.	PROPN
easat-10990	150	14	alvord	alvord	PROPN
easat-10990	150	15	,	,	PUNCT
easat-10990	150	16	"	"	PUNCT
easat-10990	150	17	a	a	DET
easat-10990	150	18	mathematical	mathematical	ADJ
easat-10990	150	19	modelling	modelling	NOUN
easat-10990	150	20	tool	tool	NOUN
easat-10990	150	21	for	for	ADP
easat-10990	150	22	predicting	predict	VERB
easat-10990	150	23	survival	survival	NOUN
easat-10990	150	24	of	of	ADP
easat-10990	150	25	individual	individual	ADJ
easat-10990	150	26	patients	patient	NOUN
easat-10990	150	27	following	follow	VERB
easat-10990	150	28	resection	resection	NOUN
easat-10990	150	29	of	of	ADP
easat-10990	150	30	glioblastoma	glioblastoma	NOUN
easat-10990	150	31	:	:	PUNCT
easat-10990	150	32	a	a	DET
easat-10990	150	33	proof	proof	NOUN
easat-10990	150	34	of	of	ADP
easat-10990	150	35	principle	principle	NOUN
easat-10990	150	36	,	,	PUNCT
easat-10990	150	37	"	"	PUNCT
easat-10990	150	38	british	british	ADJ
easat-10990	150	39	journal	journal	PROPN
easat-10990	150	40	of	of	ADP
easat-10990	150	41	cancer	cancer	NOUN
easat-10990	150	42	,	,	PUNCT
easat-10990	150	43	vol	vol	NOUN
easat-10990	150	44	.	.	PROPN
easat-10990	150	45	98	98	NUM
easat-10990	150	46	,	,	PUNCT
easat-10990	150	47	pp	pp	ADJ
easat-10990	150	48	.	.	PUNCT
easat-10990	151	1	113	113	NUM
easat-10990	151	2	-	-	SYM
easat-10990	151	3	119	119	NUM
easat-10990	151	4	,	,	PUNCT
easat-10990	151	5	2008	2008	NUM
easat-10990	151	6	.	.	PUNCT
easat-10990	152	1	https://doi.org/10.1038/sj.bjc.6604125	https://doi.org/10.1038/sj.bjc.6604125	NOUN
easat-10990	153	1	[	[	X
easat-10990	153	2	8	8	NUM
easat-10990	153	3	]	]	X
easat-10990	153	4	j.	j.	PROPN
easat-10990	153	5	c.	c.	PROPN
easat-10990	153	6	l.	l.	PROPN
easat-10990	153	7	alfonso	alfonso	PROPN
easat-10990	153	8	et	et	PROPN
easat-10990	153	9	al	al	PROPN
easat-10990	153	10	.	.	PROPN
easat-10990	153	11	,	,	PUNCT
easat-10990	153	12	"	"	PUNCT
easat-10990	153	13	the	the	DET
easat-10990	153	14	biology	biology	NOUN
easat-10990	153	15	and	and	CCONJ
easat-10990	153	16	mathematical	mathematical	ADJ
easat-10990	153	17	modelling	modelling	NOUN
easat-10990	153	18	of	of	ADP
easat-10990	153	19	glioma	glioma	NOUN
easat-10990	153	20	invasion	invasion	NOUN
easat-10990	153	21	:	:	PUNCT
easat-10990	153	22	a	a	DET
easat-10990	153	23	review	review	NOUN
easat-10990	153	24	,	,	PUNCT
easat-10990	153	25	"	"	PUNCT
easat-10990	153	26	journal	journal	NOUN
easat-10990	153	27	of	of	ADP
easat-10990	153	28	the	the	DET
easat-10990	153	29	royal	royal	ADJ
easat-10990	153	30	society	society	NOUN
easat-10990	153	31	interface	interface	NOUN
easat-10990	153	32	,	,	PUNCT
easat-10990	153	33	vol	vol	NOUN
easat-10990	153	34	.	.	PROPN
easat-10990	153	35	14	14	NUM
easat-10990	153	36	,	,	PUNCT
easat-10990	153	37	no	no	INTJ
easat-10990	153	38	.	.	NOUN
easat-10990	153	39	136	136	NUM
easat-10990	153	40	,	,	PUNCT
easat-10990	153	41	p.	p.	NOUN
easat-10990	153	42	20170490	20170490	NUM
easat-10990	153	43	,	,	PUNCT
easat-10990	153	44	2017	2017	NUM
easat-10990	153	45	.	.	PUNCT
easat-10990	154	1	https://doi.org/10.1098/rsif.2017.0490	https://doi.org/10.1098/rsif.2017.0490	PROPN
easat-10990	155	1	[	[	X
easat-10990	155	2	9	9	NUM
easat-10990	155	3	]	]	X
easat-10990	155	4	h.	h.	PROPN
easat-10990	155	5	l.	l.	PROPN
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easat-10990	155	8	e.	e.	PROPN
easat-10990	155	9	c.	c.	PROPN
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easat-10990	155	11	jr	jr	PROPN
easat-10990	155	12	,	,	PUNCT
easat-10990	155	13	and	and	CCONJ
easat-10990	155	14	k.	k.	PROPN
easat-10990	155	15	r.	r.	PROPN
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easat-10990	155	17	,	,	PUNCT
easat-10990	155	18	"	"	PUNCT
easat-10990	155	19	the	the	DET
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easat-10990	155	23	modeling	modeling	NOUN
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easat-10990	155	26	proliferation	proliferation	NOUN
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easat-10990	155	28	invasion	invasion	NOUN
easat-10990	155	29	,	,	PUNCT
easat-10990	155	30	"	"	PUNCT
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easat-10990	155	32	of	of	ADP
easat-10990	155	33	neuropathology	neuropathology	NOUN
easat-10990	155	34	&	&	CCONJ
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easat-10990	155	36	neurology	neurology	NOUN
easat-10990	155	37	,	,	PUNCT
easat-10990	155	38	vol	vol	NOUN
easat-10990	155	39	.	.	PROPN
easat-10990	155	40	66	66	NUM
easat-10990	155	41	,	,	PUNCT
easat-10990	155	42	no	no	INTJ
easat-10990	155	43	.	.	NOUN
easat-10990	155	44	1	1	NUM
easat-10990	155	45	,	,	PUNCT
easat-10990	155	46	pp	pp	ADJ
easat-10990	155	47	.	.	PUNCT
easat-10990	156	1	1	1	NUM
easat-10990	156	2	-	-	SYM
easat-10990	156	3	9	9	NUM
easat-10990	156	4	,	,	PUNCT
easat-10990	156	5	2007	2007	NUM
easat-10990	156	6	.	.	PUNCT
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easat-10990	157	1	[	[	X
easat-10990	157	2	10	10	NUM
easat-10990	157	3	]	]	X
easat-10990	157	4	d.	d.	PROPN
easat-10990	157	5	a.	a.	PROPN
easat-10990	157	6	i.	i.	PROPN
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easat-10990	157	8	,	,	PUNCT
easat-10990	157	9	s.	s.	PROPN
easat-10990	157	10	l.	l.	PROPN
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easat-10990	157	12	,	,	PUNCT
easat-10990	157	13	j.	j.	PROPN
easat-10990	157	14	a.	a.	PROPN
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easat-10990	157	16	,	,	PUNCT
easat-10990	157	17	m.	m.	PROPN
easat-10990	157	18	i.	i.	PROPN
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easat-10990	157	20	,	,	PUNCT
easat-10990	157	21	and	and	CCONJ
easat-10990	157	22	t.	t.	PROPN
easat-10990	157	23	e.	e.	PROPN
easat-10990	157	24	yankeelov	yankeelov	PROPN
easat-10990	157	25	,	,	PUNCT
easat-10990	157	26	"	"	PUNCT
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easat-10990	157	28	coupled	couple	VERB
easat-10990	157	29	reaction‑diffusion	reaction‑diffusion	PROPN
easat-10990	157	30	model	model	NOUN
easat-10990	157	31	to	to	PART
easat-10990	157	32	predict	predict	VERB
easat-10990	157	33	glioma	glioma	NOUN
easat-10990	157	34	growth	growth	NOUN
easat-10990	157	35	:	:	PUNCT
easat-10990	157	36	methodological	methodological	ADJ
easat-10990	157	37	details	detail	NOUN
easat-10990	157	38	,	,	PUNCT
easat-10990	157	39	"	"	PUNCT
easat-10990	157	40	methods	method	NOUN
easat-10990	157	41	in	in	ADP
easat-10990	157	42	molecular	molecular	ADJ
easat-10990	157	43	biology	biology	NOUN
easat-10990	157	44	,	,	PUNCT
easat-10990	157	45	vol	vol	NOUN
easat-10990	157	46	.	.	NOUN
easat-10990	157	47	1711	1711	NUM
easat-10990	157	48	,	,	PUNCT
easat-10990	157	49	pp	pp	ADV
easat-10990	157	50	.	.	PUNCT
easat-10990	158	1	225–241	225–241	NUM
easat-10990	158	2	,	,	PUNCT
easat-10990	158	3	2018	2018	NUM
easat-10990	158	4	.	.	PUNCT
easat-10990	159	1	[	[	X
easat-10990	159	2	11	11	NUM
easat-10990	159	3	]	]	PUNCT
easat-10990	159	4	r.	r.	PROPN
easat-10990	159	5	aiyappa	aiyappa	PROPN
easat-10990	159	6	-	-	PUNCT
easat-10990	159	7	maudsley	maudsley	PROPN
easat-10990	159	8	,	,	PUNCT
easat-10990	159	9	a.	a.	PROPN
easat-10990	159	10	j.	j.	PROPN
easat-10990	159	11	chalmers	chalmers	PROPN
easat-10990	159	12	,	,	PUNCT
easat-10990	159	13	and	and	CCONJ
easat-10990	159	14	j.	j.	PROPN
easat-10990	159	15	l.	l.	PROPN
easat-10990	159	16	parsons	parsons	PROPN
easat-10990	159	17	,	,	PUNCT
easat-10990	159	18	"	"	PUNCT
easat-10990	159	19	factors	factor	NOUN
easat-10990	159	20	affecting	affect	VERB
easat-10990	159	21	the	the	DET
easat-10990	159	22	radiation	radiation	NOUN
easat-10990	159	23	response	response	NOUN
easat-10990	159	24	in	in	ADP
easat-10990	159	25	glioblastoma	glioblastoma	NOUN
easat-10990	159	26	,	,	PUNCT
easat-10990	159	27	"	"	PUNCT
easat-10990	159	28	neuro	neuro	ADJ
easat-10990	159	29	-	-	PUNCT
easat-10990	159	30	oncology	oncology	NOUN
easat-10990	159	31	advances	advance	NOUN
easat-10990	159	32	,	,	PUNCT
easat-10990	159	33	vol	vol	NOUN
easat-10990	159	34	.	.	PROPN
easat-10990	159	35	4	4	NUM
easat-10990	159	36	,	,	PUNCT
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easat-10990	159	38	.	.	NOUN
easat-10990	159	39	1	1	NUM
easat-10990	159	40	,	,	PUNCT
easat-10990	159	41	p.	p.	NOUN
easat-10990	159	42	vdac156	vdac156	PROPN
easat-10990	159	43	,	,	PUNCT
easat-10990	159	44	2022	2022	NUM
easat-10990	159	45	.	.	PUNCT
easat-10990	160	1	https://doi.org/10.1093/noajnl/vdac156	https://doi.org/10.1093/noajnl/vdac156	X
easat-10990	161	1	[	[	X
easat-10990	161	2	12	12	NUM
easat-10990	161	3	]	]	X
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easat-10990	161	5	clatz	clatz	PROPN
easat-10990	161	6	et	et	PROPN
easat-10990	161	7	al	al	PROPN
easat-10990	161	8	.	.	PROPN
easat-10990	161	9	,	,	PUNCT
easat-10990	161	10	"	"	PUNCT
easat-10990	161	11	realistic	realistic	ADJ
easat-10990	161	12	simulation	simulation	NOUN
easat-10990	161	13	of	of	ADP
easat-10990	161	14	the	the	DET
easat-10990	161	15	3	3	NUM
easat-10990	161	16	-	-	PUNCT
easat-10990	161	17	d	d	NOUN
easat-10990	161	18	growth	growth	NOUN
easat-10990	161	19	of	of	ADP
easat-10990	161	20	brain	brain	NOUN
easat-10990	161	21	tumors	tumor	NOUN
easat-10990	161	22	in	in	ADP
easat-10990	161	23	mr	mr	PROPN
easat-10990	161	24	images	image	NOUN
easat-10990	161	25	coupling	couple	VERB
easat-10990	161	26	diffusion	diffusion	NOUN
easat-10990	161	27	with	with	ADP
easat-10990	161	28	biomechanical	biomechanical	ADJ
easat-10990	161	29	deformation	deformation	NOUN
easat-10990	161	30	,	,	PUNCT
easat-10990	161	31	"	"	PUNCT
easat-10990	161	32	ieee	ieee	NOUN
easat-10990	161	33	transactions	transaction	NOUN
easat-10990	161	34	on	on	ADP
easat-10990	161	35	medical	medical	ADJ
easat-10990	161	36	imaging	imaging	NOUN
easat-10990	161	37	,	,	PUNCT
easat-10990	161	38	vol	vol	NOUN
easat-10990	161	39	.	.	PROPN
easat-10990	162	1	24	24	NUM
easat-10990	162	2	,	,	PUNCT
easat-10990	162	3	no	no	INTJ
easat-10990	162	4	.	.	NOUN
easat-10990	162	5	10	10	NUM
easat-10990	162	6	,	,	PUNCT
easat-10990	162	7	pp	pp	ADJ
easat-10990	162	8	.	.	PUNCT
easat-10990	163	1	1334	1334	NUM
easat-10990	163	2	-	-	SYM
easat-10990	163	3	1346	1346	NUM
easat-10990	163	4	,	,	PUNCT
easat-10990	163	5	2005	2005	NUM
easat-10990	163	6	.	.	PUNCT
easat-10990	164	1	https://doi.org/10.1109/tmi.2005.857217	https://doi.org/10.1109/tmi.2005.857217	PROPN
easat-10990	165	1	[	[	X
easat-10990	165	2	13	13	NUM
easat-10990	165	3	]	]	X
easat-10990	165	4	e.	e.	PROPN
easat-10990	165	5	konukoglu	konukoglu	PROPN
easat-10990	165	6	,	,	PUNCT
easat-10990	165	7	o.	o.	PROPN
easat-10990	165	8	clatz	clatz	PROPN
easat-10990	165	9	,	,	PUNCT
easat-10990	165	10	p.	p.	PROPN
easat-10990	165	11	y.	y.	PROPN
easat-10990	165	12	bondiau	bondiau	PROPN
easat-10990	165	13	,	,	PUNCT
easat-10990	165	14	h.	h.	PROPN
easat-10990	165	15	delingette	delingette	PROPN
easat-10990	165	16	,	,	PUNCT
easat-10990	165	17	and	and	CCONJ
easat-10990	165	18	n.	n.	PROPN
easat-10990	165	19	ayache	ayache	NOUN
easat-10990	165	20	,	,	PUNCT
easat-10990	165	21	"	"	PUNCT
easat-10990	165	22	extrapolating	extrapolate	VERB
easat-10990	165	23	glioma	glioma	NOUN
easat-10990	165	24	invasion	invasion	NOUN
easat-10990	165	25	margin	margin	NOUN
easat-10990	165	26	in	in	ADP
easat-10990	165	27	brain	brain	NOUN
easat-10990	165	28	magnetic	magnetic	ADJ
easat-10990	165	29	resonance	resonance	NOUN
easat-10990	165	30	images	image	NOUN
easat-10990	165	31	:	:	PUNCT
easat-10990	165	32	suggesting	suggest	VERB
easat-10990	165	33	new	new	ADJ
easat-10990	165	34	irradiation	irradiation	NOUN
easat-10990	165	35	margins	margin	NOUN
easat-10990	165	36	,	,	PUNCT
easat-10990	165	37	"	"	PUNCT
easat-10990	165	38	medical	medical	ADJ
easat-10990	165	39	image	image	NOUN
easat-10990	165	40	analysis	analysis	NOUN
easat-10990	165	41	,	,	PUNCT
easat-10990	165	42	vol	vol	NOUN
easat-10990	165	43	.	.	PROPN
easat-10990	166	1	14	14	NUM
easat-10990	166	2	,	,	PUNCT
easat-10990	166	3	no	no	INTJ
easat-10990	166	4	.	.	NOUN
easat-10990	166	5	2	2	NUM
easat-10990	166	6	,	,	PUNCT
easat-10990	166	7	pp	pp	ADJ
easat-10990	166	8	.	.	PUNCT
easat-10990	167	1	111–125	111–125	NUM
easat-10990	167	2	,	,	PUNCT
easat-10990	167	3	2010	2010	NUM
easat-10990	167	4	.	.	PUNCT
easat-10990	168	1	[	[	X
easat-10990	168	2	14	14	NUM
easat-10990	168	3	]	]	X
easat-10990	168	4	d.	d.	PROPN
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easat-10990	168	6	,	,	PUNCT
easat-10990	168	7	s.	s.	PROPN
easat-10990	168	8	a.	a.	PROPN
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easat-10990	168	10	,	,	PUNCT
easat-10990	168	11	and	and	CCONJ
easat-10990	168	12	r.	r.	PROPN
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easat-10990	168	15	,	,	PUNCT
easat-10990	168	16	"	"	PUNCT
easat-10990	168	17	high‑performance	high‑performance	NOUN
easat-10990	168	18	parallel	parallel	ADJ
easat-10990	168	19	solvers	solver	NOUN
easat-10990	168	20	for	for	ADP
easat-10990	168	21	large‑scale	large‑scale	PROPN
easat-10990	168	22	reaction	reaction	NOUN
easat-10990	168	23	–	–	PUNCT
easat-10990	168	24	diffusion	diffusion	NOUN
easat-10990	168	25	tumor	tumor	NOUN
easat-10990	168	26	models	model	NOUN
easat-10990	168	27	,	,	PUNCT
easat-10990	168	28	"	"	PUNCT
easat-10990	168	29	journal	journal	NOUN
easat-10990	168	30	of	of	ADP
easat-10990	168	31	computational	computational	ADJ
easat-10990	168	32	physics	physics	NOUN
easat-10990	168	33	,	,	PUNCT
easat-10990	168	34	vol	vol	NOUN
easat-10990	168	35	.	.	PROPN
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easat-10990	168	37	,	,	PUNCT
easat-10990	168	38	p.	p.	NOUN
easat-10990	168	39	article	article	NOUN
easat-10990	168	40	 	 	SPACE
easat-10990	168	41	112495	112495	NUM
easat-10990	168	42	,	,	PUNCT
easat-10990	168	43	2023	2023	NUM
easat-10990	168	44	.	.	PUNCT
easat-10990	169	1	[	[	X
easat-10990	169	2	15	15	NUM
easat-10990	169	3	]	]	X
easat-10990	169	4	y.	y.	PROPN
easat-10990	169	5	saad	saad	PROPN
easat-10990	169	6	,	,	PUNCT
easat-10990	169	7	iterative	iterative	NOUN
easat-10990	169	8	methods	method	NOUN
easat-10990	169	9	for	for	ADP
easat-10990	169	10	sparse	sparse	ADJ
easat-10990	169	11	linear	linear	NOUN
easat-10990	169	12	systems	system	NOUN
easat-10990	169	13	,	,	PUNCT
easat-10990	169	14	2nd	2nd	ADJ
easat-10990	169	15	ed	ed	NOUN
easat-10990	169	16	.	.	PUNCT
easat-10990	169	17	philadelphia	philadelphia	PROPN
easat-10990	169	18	,	,	PUNCT
easat-10990	169	19	pa	pa	PROPN
easat-10990	169	20	,	,	PUNCT
easat-10990	169	21	usa	usa	PROPN
easat-10990	169	22	:	:	PUNCT
easat-10990	169	23	siam	siam	PROPN
easat-10990	169	24	,	,	PUNCT
easat-10990	169	25	2003	2003	NUM
easat-10990	169	26	.	.	PUNCT
easat-10990	170	1	[	[	X
easat-10990	170	2	16	16	NUM
easat-10990	170	3	]	]	PUNCT
easat-10990	170	4	r.	r.	PROPN
easat-10990	170	5	s.	s.	PROPN
easat-10990	170	6	varga	varga	PROPN
easat-10990	170	7	,	,	PUNCT
easat-10990	170	8	matrix	matrix	NOUN
easat-10990	170	9	iterative	iterative	NOUN
easat-10990	170	10	analysis	analysis	NOUN
easat-10990	170	11	,	,	PUNCT
easat-10990	170	12	2nd	2nd	ADJ
easat-10990	170	13	ed	ed	NOUN
easat-10990	170	14	.	.	PUNCT
easat-10990	171	1	berlin	berlin	PROPN
easat-10990	171	2	,	,	PUNCT
easat-10990	171	3	germany	germany	PROPN
easat-10990	171	4	:	:	PUNCT
easat-10990	171	5	springer	springer	NOUN
easat-10990	171	6	,	,	PUNCT
easat-10990	171	7	2009	2009	NUM
easat-10990	171	8	.	.	PUNCT
easat-10990	172	1	[	[	X
easat-10990	172	2	17	17	NUM
easat-10990	172	3	]	]	X
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easat-10990	172	7	"	"	PUNCT
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easat-10990	172	11	overrelaxation	overrelaxation	NOUN
easat-10990	172	12	method	method	NOUN
easat-10990	172	13	,	,	PUNCT
easat-10990	172	14	"	"	PUNCT
easat-10990	172	15	journal	journal	NOUN
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easat-10990	172	18	and	and	CCONJ
easat-10990	172	19	statistics	statistic	NOUN
easat-10990	172	20	,	,	PUNCT
easat-10990	172	21	vol	vol	NOUN
easat-10990	172	22	.	.	PROPN
easat-10990	172	23	8	8	NUM
easat-10990	172	24	,	,	PUNCT
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easat-10990	172	26	.	.	NOUN
easat-10990	172	27	2	2	NUM
easat-10990	172	28	,	,	PUNCT
easat-10990	172	29	pp	pp	ADJ
easat-10990	172	30	.	.	PUNCT
easat-10990	173	1	176	176	NUM
easat-10990	173	2	-	-	SYM
easat-10990	173	3	184	184	NUM
easat-10990	173	4	,	,	PUNCT
easat-10990	173	5	2012	2012	NUM
easat-10990	173	6	.	.	PUNCT
easat-10990	174	1	https://doi.org/10.3844/jmssp.2012.176.184	https://doi.org/10.3844/jmssp.2012.176.184	PROPN
easat-10990	174	2	[	[	X
easat-10990	174	3	18	18	NUM
easat-10990	174	4	]	]	X
easat-10990	174	5	h.	h.	PROPN
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easat-10990	174	8	s.	s.	PROPN
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easat-10990	174	17	convergence	convergence	NOUN
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easat-10990	174	22	over‑relaxation	over‑relaxation	NOUN
easat-10990	174	23	for	for	ADP
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easat-10990	174	26	,	,	PUNCT
easat-10990	174	27	"	"	PUNCT
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easat-10990	174	35	404	404	NUM
easat-10990	174	36	,	,	PUNCT
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easat-10990	174	38	126229	126229	NUM
easat-10990	174	39	,	,	PUNCT
easat-10990	174	40	2021	2021	NUM
easat-10990	174	41	.	.	PUNCT
easat-10990	175	1	[	[	X
easat-10990	175	2	19	19	NUM
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easat-10990	175	14	migration	migration	NOUN
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easat-10990	175	19	tumour	tumour	NOUN
easat-10990	175	20	invasion	invasion	NOUN
easat-10990	175	21	,	,	PUNCT
easat-10990	175	22	"	"	PUNCT
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easat-10990	175	25	,	,	PUNCT
easat-10990	175	26	vol	vol	NOUN
easat-10990	175	27	.	.	PROPN
easat-10990	176	1	43	43	NUM
easat-10990	176	2	,	,	PUNCT
easat-10990	176	3	pp	pp	ADJ
easat-10990	176	4	.	.	PUNCT
easat-10990	177	1	443	443	NUM
easat-10990	177	2	-	-	SYM
easat-10990	177	3	464	464	NUM
easat-10990	177	4	,	,	PUNCT
easat-10990	177	5	1995	1995	NUM
easat-10990	177	6	.	.	PUNCT
easat-10990	178	1	https://doi.org/10.1007/bf00713564	https://doi.org/10.1007/bf00713564	PUNCT
easat-10990	179	1	[	[	X
easat-10990	179	2	20	20	NUM
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easat-10990	179	4	j.	j.	PROPN
easat-10990	179	5	d.	d.	PROPN
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easat-10990	179	7	,	,	PUNCT
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easat-10990	179	9	biology	biology	NOUN
easat-10990	180	1	i	i	NOUN
easat-10990	180	2	:	:	PUNCT
easat-10990	180	3	an	an	DET
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easat-10990	180	5	,	,	PUNCT
easat-10990	180	6	3rd	3rd	ADJ
easat-10990	180	7	ed	ed	NOUN
easat-10990	180	8	.	.	PUNCT
easat-10990	181	1	berlin	berlin	PROPN
easat-10990	181	2	,	,	PUNCT
easat-10990	181	3	germany	germany	PROPN
easat-10990	181	4	:	:	PUNCT
easat-10990	181	5	springer	springer	NOUN
easat-10990	181	6	,	,	PUNCT
easat-10990	181	7	2002	2002	NUM
easat-10990	181	8	.	.	PUNCT
easat-10990	182	1	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
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easat-10990	182	3	https://doi.org/10.1093/neuonc/noab200	https://doi.org/10.1093/neuonc/noab200	PROPN
easat-10990	182	4	https://doi.org/10.1056/nejmoa043330	https://doi.org/10.1056/nejmoa043330	PROPN
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easat-10990	182	6	https://doi.org/10.1046/j.1365-2184.2000.00177.x	https://doi.org/10.1046/j.1365-2184.2000.00177.x	NOUN
easat-10990	183	1	https://doi.org/10.1016/j.jns.2003.06.001	https://doi.org/10.1016/j.jns.2003.06.001	PROPN
easat-10990	183	2	https://doi.org/10.1038/sj.bjc.6604125	https://doi.org/10.1038/sj.bjc.6604125	VERB
easat-10990	183	3	https://doi.org/10.1098/rsif.2017.0490	https://doi.org/10.1098/rsif.2017.0490	PROPN
easat-10990	183	4	https://doi.org/10.1097/nen.0b013e31802d9000	https://doi.org/10.1097/nen.0b013e31802d9000	DET
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easat-10990	184	2	,	,	PUNCT
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easat-10990	184	4	.	.	NOUN
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easat-10990	184	6	:	:	PUNCT
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easat-10990	184	8	-	-	SYM
easat-10990	184	9	776	776	NUM
easat-10990	184	10	,	,	PUNCT
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easat-10990	184	13	:	:	PUNCT
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easat-10990	184	15	-	-	SYM
easat-10990	184	16	8484.v9i11.10990	8484.v9i11.10990	NUM
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easat-10990	184	21	authors	author	NOUN
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easat-10990	184	25	gate	gate	NOUN
easat-10990	185	1	[	[	X
easat-10990	185	2	21	21	NUM
easat-10990	185	3	]	]	X
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easat-10990	185	5	h.	h.	PROPN
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easat-10990	185	11	"	"	PUNCT
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easat-10990	185	14	of	of	ADP
easat-10990	185	15	growth	growth	NOUN
easat-10990	185	16	kinetics	kinetic	NOUN
easat-10990	185	17	in	in	ADP
easat-10990	185	18	newly	newly	ADV
easat-10990	185	19	diagnosed	diagnose	VERB
easat-10990	185	20	glioblastomas	glioblastoma	NOUN
easat-10990	185	21	revealed	reveal	VERB
easat-10990	185	22	by	by	ADP
easat-10990	185	23	combining	combine	VERB
easat-10990	185	24	serial	serial	ADJ
easat-10990	185	25	imaging	imaging	NOUN
easat-10990	185	26	with	with	ADP
easat-10990	185	27	a	a	DET
easat-10990	185	28	novel	novel	ADJ
easat-10990	185	29	biomathematical	biomathematical	ADJ
easat-10990	185	30	model	model	NOUN
easat-10990	185	31	,	,	PUNCT
easat-10990	185	32	"	"	PUNCT
easat-10990	185	33	cancer	cancer	NOUN
easat-10990	185	34	research	research	NOUN
easat-10990	185	35	,	,	PUNCT
easat-10990	185	36	vol	vol	NOUN
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easat-10990	186	2	,	,	PUNCT
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easat-10990	186	4	.	.	NOUN
easat-10990	186	5	23	23	NUM
easat-10990	186	6	,	,	PUNCT
easat-10990	186	7	pp	pp	ADJ
easat-10990	186	8	.	.	PUNCT
easat-10990	187	1	9133	9133	NUM
easat-10990	187	2	-	-	SYM
easat-10990	187	3	9140	9140	NUM
easat-10990	187	4	,	,	PUNCT
easat-10990	187	5	2009	2009	NUM
easat-10990	187	6	.	.	PUNCT
easat-10990	188	1	https://doi.org/10.1158/0008-5472.can-08-3863	https://doi.org/10.1158/0008-5472.can-08-3863	PRON
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easat-10990	189	2	22	22	NUM
easat-10990	189	3	]	]	PUNCT
easat-10990	189	4	w.	w.	PROPN
easat-10990	189	5	hackbusch	hackbusch	PROPN
easat-10990	189	6	,	,	PUNCT
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easat-10990	189	8	solution	solution	NOUN
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easat-10990	189	10	large	large	ADJ
easat-10990	189	11	sparse	sparse	ADJ
easat-10990	189	12	systems	system	NOUN
easat-10990	189	13	of	of	ADP
easat-10990	189	14	equations	equation	NOUN
easat-10990	189	15	.	.	PUNCT
easat-10990	190	1	new	new	PROPN
easat-10990	190	2	york	york	PROPN
easat-10990	190	3	,	,	PUNCT
easat-10990	190	4	usa	usa	PROPN
easat-10990	190	5	:	:	PUNCT
easat-10990	190	6	springer	springer	NOUN
easat-10990	190	7	,	,	PUNCT
easat-10990	190	8	1994	1994	NUM
easat-10990	190	9	.	.	PUNCT
easat-10990	191	1	[	[	X
easat-10990	191	2	23	23	NUM
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easat-10990	191	4	h.	h.	PROPN
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easat-10990	191	7	s.	s.	PROPN
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easat-10990	191	9	,	,	PUNCT
easat-10990	191	10	and	and	CCONJ
easat-10990	191	11	a.	a.	PROPN
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easat-10990	191	24	method	method	NOUN
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easat-10990	191	27	-	-	PUNCT
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easat-10990	191	30	equations	equation	NOUN
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easat-10990	191	32	"	"	PUNCT
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easat-10990	191	36	,	,	PUNCT
easat-10990	191	37	vol	vol	NOUN
easat-10990	191	38	.	.	NOUN
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easat-10990	191	40	,	,	PUNCT
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easat-10990	191	43	1	1	NUM
easat-10990	191	44	,	,	PUNCT
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easat-10990	191	46	040003	040003	NUM
easat-10990	191	47	,	,	PUNCT
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easat-10990	192	1	[	[	X
easat-10990	192	2	24	24	NUM
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easat-10990	192	9	,	,	PUNCT
easat-10990	192	10	and	and	CCONJ
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easat-10990	192	13	,	,	PUNCT
easat-10990	192	14	"	"	PUNCT
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easat-10990	192	16	hybrid	hybrid	ADJ
easat-10990	192	17	iterative	iterative	NOUN
easat-10990	192	18	schemes	scheme	NOUN
easat-10990	192	19	for	for	ADP
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easat-10990	192	24	problems	problem	NOUN
easat-10990	192	25	in	in	ADP
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easat-10990	192	27	,	,	PUNCT
easat-10990	192	28	"	"	PUNCT
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easat-10990	192	32	,	,	PUNCT
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easat-10990	192	36	,	,	PUNCT
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easat-10990	193	1	15–29	15–29	NUM
easat-10990	193	2	,	,	PUNCT
easat-10990	193	3	2024	2024	NUM
easat-10990	193	4	.	.	PUNCT
easat-10990	194	1	[	[	X
easat-10990	194	2	25	25	NUM
easat-10990	194	3	]	]	PUNCT
easat-10990	194	4	l.	l.	PROPN
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easat-10990	194	10	:	:	PUNCT
easat-10990	194	11	mathematical	mathematical	ADJ
easat-10990	194	12	model	model	NOUN
easat-10990	194	13	and	and	CCONJ
easat-10990	194	14	potential	potential	NOUN
easat-10990	194	15	for	for	ADP
easat-10990	194	16	tumor	tumor	NOUN
easat-10990	194	17	resection	resection	NOUN
easat-10990	194	18	,	,	PUNCT
easat-10990	194	19	"	"	PUNCT
easat-10990	194	20	oncology	oncology	NOUN
easat-10990	194	21	reports	report	NOUN
easat-10990	194	22	,	,	PUNCT
easat-10990	194	23	vol	vol	NOUN
easat-10990	194	24	.	.	PROPN
easat-10990	194	25	39	39	NUM
easat-10990	194	26	,	,	PUNCT
easat-10990	194	27	no	no	INTJ
easat-10990	194	28	.	.	NOUN
easat-10990	194	29	2	2	NUM
easat-10990	194	30	,	,	PUNCT
easat-10990	194	31	pp	pp	ADJ
easat-10990	194	32	.	.	PUNCT
easat-10990	195	1	843–852	843–852	NUM
easat-10990	195	2	,	,	PUNCT
easat-10990	195	3	2018	2018	NUM
easat-10990	195	4	.	.	PUNCT
easat-10990	196	1	[	[	X
easat-10990	196	2	26	26	NUM
easat-10990	196	3	]	]	X
easat-10990	196	4	l.	l.	PROPN
easat-10990	196	5	c.	c.	PROPN
easat-10990	196	6	evans	evans	PROPN
easat-10990	196	7	,	,	PUNCT
easat-10990	196	8	partial	partial	ADJ
easat-10990	196	9	differential	differential	NOUN
easat-10990	196	10	equations	equation	NOUN
easat-10990	196	11	,	,	PUNCT
easat-10990	196	12	2nd	2nd	ADJ
easat-10990	196	13	ed	ed	NOUN
easat-10990	196	14	.	.	PUNCT
easat-10990	197	1	providence	providence	NOUN
easat-10990	197	2	,	,	PUNCT
easat-10990	197	3	ri	ri	PROPN
easat-10990	197	4	,	,	PUNCT
easat-10990	197	5	usa	usa	PROPN
easat-10990	197	6	:	:	PUNCT
easat-10990	197	7	amer	amer	PROPN
easat-10990	197	8	.	.	PROPN
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easat-10990	197	10	.	.	PUNCT
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easat-10990	198	2	,	,	PUNCT
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easat-10990	199	11	parabolic	parabolic	ADJ
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easat-10990	199	13	.	.	PUNCT
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easat-10990	200	6	usa	usa	PROPN
easat-10990	200	7	:	:	PUNCT
easat-10990	200	8	prentice	prentice	NOUN
easat-10990	200	9	-	-	PUNCT
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easat-10990	200	11	,	,	PUNCT
easat-10990	200	12	1964	1964	NUM
easat-10990	200	13	.	.	PUNCT
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