id sid tid token lemma pos 1c18df67n8s 1 1 there there PRON 1c18df67n8s 1 2 are be VERB 1c18df67n8s 1 3 two two NUM 1c18df67n8s 1 4 separated separate VERB 1c18df67n8s 1 5 parts part NOUN 1c18df67n8s 1 6 of of ADP 1c18df67n8s 1 7 my my PRON 1c18df67n8s 1 8 thesis thesis NOUN 1c18df67n8s 1 9 . . PUNCT 1c18df67n8s 2 1 the the DET 1c18df67n8s 2 2 first first ADJ 1c18df67n8s 2 3 part part NOUN 1c18df67n8s 2 4 is be AUX 1c18df67n8s 2 5 about about ADP 1c18df67n8s 2 6 how how SCONJ 1c18df67n8s 2 7 to to PART 1c18df67n8s 2 8 design design VERB 1c18df67n8s 2 9 robust robust ADJ 1c18df67n8s 2 10 unstructured unstructured ADJ 1c18df67n8s 2 11 weighted weight VERB 1c18df67n8s 2 12 essentially essentially ADV 1c18df67n8s 2 13 non non ADJ 1c18df67n8s 2 14 - - ADJ 1c18df67n8s 2 15 oscillatory oscillatory ADJ 1c18df67n8s 2 16 ( ( PUNCT 1c18df67n8s 2 17 weno weno PROPN 1c18df67n8s 2 18 ) ) PUNCT 1c18df67n8s 2 19 schemes scheme NOUN 1c18df67n8s 2 20 . . PUNCT 1c18df67n8s 3 1 the the DET 1c18df67n8s 3 2 weno weno ADJ 1c18df67n8s 3 3 schemes scheme NOUN 1c18df67n8s 3 4 are be AUX 1c18df67n8s 3 5 a a DET 1c18df67n8s 3 6 popular popular ADJ 1c18df67n8s 3 7 class class NOUN 1c18df67n8s 3 8 of of ADP 1c18df67n8s 3 9 high high ADJ 1c18df67n8s 3 10 order order NOUN 1c18df67n8s 3 11 numerical numerical ADJ 1c18df67n8s 3 12 methods method NOUN 1c18df67n8s 3 13 for for ADP 1c18df67n8s 3 14 hyperbolic hyperbolic ADJ 1c18df67n8s 3 15 partial partial ADJ 1c18df67n8s 3 16 differential differential ADJ 1c18df67n8s 3 17 equations equation NOUN 1c18df67n8s 3 18 ( ( PUNCT 1c18df67n8s 3 19 pdes pde NOUN 1c18df67n8s 3 20 ) ) PUNCT 1c18df67n8s 3 21 . . PUNCT 1c18df67n8s 4 1 a a DET 1c18df67n8s 4 2 major major ADJ 1c18df67n8s 4 3 difficulty difficulty NOUN 1c18df67n8s 4 4 for for ADP 1c18df67n8s 4 5 unstructured unstructured PROPN 1c18df67n8s 4 6 weno weno NOUN 1c18df67n8s 4 7 is be AUX 1c18df67n8s 4 8 how how SCONJ 1c18df67n8s 4 9 to to PART 1c18df67n8s 4 10 design design VERB 1c18df67n8s 4 11 a a DET 1c18df67n8s 4 12 robust robust ADJ 1c18df67n8s 4 13 weno weno ADJ 1c18df67n8s 4 14 reconstruction reconstruction NOUN 1c18df67n8s 4 15 procedure procedure NOUN 1c18df67n8s 4 16 to to PART 1c18df67n8s 4 17 deal deal VERB 1c18df67n8s 4 18 with with ADP 1c18df67n8s 4 19 distorted distorted ADJ 1c18df67n8s 4 20 local local ADJ 1c18df67n8s 4 21 mesh mesh NOUN 1c18df67n8s 4 22 geometries geometry NOUN 1c18df67n8s 4 23 or or CCONJ 1c18df67n8s 4 24 degenerate degenerate VERB 1c18df67n8s 4 25 cases case NOUN 1c18df67n8s 4 26 when when SCONJ 1c18df67n8s 4 27 the the DET 1c18df67n8s 4 28 mesh mesh NOUN 1c18df67n8s 4 29 quality quality NOUN 1c18df67n8s 4 30 varies vary VERB 1c18df67n8s 4 31 for for ADP 1c18df67n8s 4 32 complex complex ADJ 1c18df67n8s 4 33 domain domain NOUN 1c18df67n8s 4 34 geometry geometry NOUN 1c18df67n8s 4 35 . . PUNCT 1c18df67n8s 5 1 we we PRON 1c18df67n8s 5 2 combine combine VERB 1c18df67n8s 5 3 two two NUM 1c18df67n8s 5 4 different different ADJ 1c18df67n8s 5 5 weno weno ADJ 1c18df67n8s 5 6 reconstruction reconstruction NOUN 1c18df67n8s 5 7 approaches approach VERB 1c18df67n8s 5 8 to to PART 1c18df67n8s 5 9 achieve achieve VERB 1c18df67n8s 5 10 a a DET 1c18df67n8s 5 11 robust robust ADJ 1c18df67n8s 5 12 unstructured unstructured ADJ 1c18df67n8s 5 13 finite finite NOUN 1c18df67n8s 5 14 volume volume NOUN 1c18df67n8s 5 15 weno weno ADJ 1c18df67n8s 5 16 reconstruction reconstruction NOUN 1c18df67n8s 5 17 on on ADP 1c18df67n8s 5 18 complex complex ADJ 1c18df67n8s 5 19 mesh mesh NOUN 1c18df67n8s 5 20 geometries geometry NOUN 1c18df67n8s 5 21 . . PUNCT 1c18df67n8s 6 1 numerical numerical ADJ 1c18df67n8s 6 2 examples example NOUN 1c18df67n8s 6 3 including include VERB 1c18df67n8s 6 4 both both CCONJ 1c18df67n8s 6 5 scalar scalar ADJ 1c18df67n8s 6 6 and and CCONJ 1c18df67n8s 6 7 system system NOUN 1c18df67n8s 6 8 cases case NOUN 1c18df67n8s 6 9 are be AUX 1c18df67n8s 6 10 given give VERB 1c18df67n8s 6 11 to to PART 1c18df67n8s 6 12 demonstrate demonstrate VERB 1c18df67n8s 6 13 stability stability NOUN 1c18df67n8s 6 14 and and CCONJ 1c18df67n8s 6 15 accuracy accuracy NOUN 1c18df67n8s 6 16 of of ADP 1c18df67n8s 6 17 the the DET 1c18df67n8s 6 18 scheme scheme NOUN 1c18df67n8s 6 19 . . PUNCT 1c18df67n8s 7 1 the the DET 1c18df67n8s 7 2 second second ADJ 1c18df67n8s 7 3 part part NOUN 1c18df67n8s 7 4 is be AUX 1c18df67n8s 7 5 about about ADP 1c18df67n8s 7 6 computational computational ADJ 1c18df67n8s 7 7 biology biology NOUN 1c18df67n8s 7 8 . . PUNCT 1c18df67n8s 8 1 we we PRON 1c18df67n8s 8 2 studied study VERB 1c18df67n8s 8 3 the the DET 1c18df67n8s 8 4 pattern pattern NOUN 1c18df67n8s 8 5 solutions solution NOUN 1c18df67n8s 8 6 of of ADP 1c18df67n8s 8 7 several several ADJ 1c18df67n8s 8 8 mathematical mathematical ADJ 1c18df67n8s 8 9 models model NOUN 1c18df67n8s 8 10 , , PUNCT 1c18df67n8s 8 11 chematical chematical ADJ 1c18df67n8s 8 12 cell cell NOUN 1c18df67n8s 8 13 movement movement NOUN 1c18df67n8s 8 14 , , PUNCT 1c18df67n8s 8 15 zebrafish zebrafish ADJ 1c18df67n8s 8 16 dorsalventral dorsalventral ADJ 1c18df67n8s 8 17 patterning patterning NOUN 1c18df67n8s 8 18 and and CCONJ 1c18df67n8s 8 19 tumor tumor NOUN 1c18df67n8s 8 20 angiogenesis angiogenesis NOUN 1c18df67n8s 8 21 . . PUNCT 1c18df67n8s 9 1 the the DET 1c18df67n8s 9 2 detailed detailed ADJ 1c18df67n8s 9 3 dynamics dynamic NOUN 1c18df67n8s 9 4 , , PUNCT 1c18df67n8s 9 5 pattern pattern NOUN 1c18df67n8s 9 6 structures structure NOUN 1c18df67n8s 9 7 and and CCONJ 1c18df67n8s 9 8 robustness robustness NOUN 1c18df67n8s 9 9 of of ADP 1c18df67n8s 9 10 the the DET 1c18df67n8s 9 11 nonlinear nonlinear ADJ 1c18df67n8s 9 12 reaction reaction NOUN 1c18df67n8s 9 13 - - PUNCT 1c18df67n8s 9 14 diffusion diffusion NOUN 1c18df67n8s 9 15 model model NOUN 1c18df67n8s 9 16 of of ADP 1c18df67n8s 9 17 chemotactic chemotactic ADJ 1c18df67n8s 9 18 cell cell NOUN 1c18df67n8s 9 19 movements movement NOUN 1c18df67n8s 9 20 [ [ X 1c18df67n8s 9 21 89 89 NUM 1c18df67n8s 9 22 ] ] PUNCT 1c18df67n8s 9 23 are be AUX 1c18df67n8s 9 24 discussed discuss VERB 1c18df67n8s 9 25 using use VERB 1c18df67n8s 9 26 high high ADJ 1c18df67n8s 9 27 resolution resolution NOUN 1c18df67n8s 9 28 numerical numerical ADJ 1c18df67n8s 9 29 simulations simulation NOUN 1c18df67n8s 9 30 . . PUNCT 1c18df67n8s 10 1 we we PRON 1c18df67n8s 10 2 show show VERB 1c18df67n8s 10 3 that that SCONJ 1c18df67n8s 10 4 the the DET 1c18df67n8s 10 5 model model NOUN 1c18df67n8s 10 6 can can AUX 1c18df67n8s 10 7 form form VERB 1c18df67n8s 10 8 network network NOUN 1c18df67n8s 10 9 patterns pattern NOUN 1c18df67n8s 10 10 similar similar ADJ 1c18df67n8s 10 11 to to ADP 1c18df67n8s 10 12 early early ADJ 1c18df67n8s 10 13 blood blood NOUN 1c18df67n8s 10 14 vessel vessel NOUN 1c18df67n8s 10 15 structures structure NOUN 1c18df67n8s 10 16 seen see VERB 1c18df67n8s 10 17 experimentally experimentally ADV 1c18df67n8s 10 18 . . PUNCT 1c18df67n8s 11 1 the the DET 1c18df67n8s 11 2 model model NOUN 1c18df67n8s 11 3 solutions solution NOUN 1c18df67n8s 11 4 do do AUX 1c18df67n8s 11 5 not not PART 1c18df67n8s 11 6 blow blow VERB 1c18df67n8s 11 7 up up ADP 1c18df67n8s 11 8 in in ADP 1c18df67n8s 11 9 finite finite ADJ 1c18df67n8s 11 10 time time NOUN 1c18df67n8s 11 11 , , PUNCT 1c18df67n8s 11 12 a a DET 1c18df67n8s 11 13 property property NOUN 1c18df67n8s 11 14 of of ADP 1c18df67n8s 11 15 other other ADJ 1c18df67n8s 11 16 chemotaxis chemotaxis NOUN 1c18df67n8s 11 17 cell cell NOUN 1c18df67n8s 11 18 movement movement NOUN 1c18df67n8s 11 19 models model NOUN 1c18df67n8s 11 20 . . PUNCT 1c18df67n8s 12 1 the the DET 1c18df67n8s 12 2 reaction reaction NOUN 1c18df67n8s 12 3 - - PUNCT 1c18df67n8s 12 4 diffusion diffusion NOUN 1c18df67n8s 12 5 system system NOUN 1c18df67n8s 12 6 modeling model VERB 1c18df67n8s 12 7 the the DET 1c18df67n8s 12 8 dorsal dorsal NOUN 1c18df67n8s 12 9 - - PUNCT 1c18df67n8s 12 10 ventral ventral ADJ 1c18df67n8s 12 11 patterning patterning NOUN 1c18df67n8s 12 12 during during ADP 1c18df67n8s 12 13 the the DET 1c18df67n8s 12 14 zebrafish zebrafish ADJ 1c18df67n8s 12 15 embryo embryo NOUN 1c18df67n8s 12 16 development development NOUN 1c18df67n8s 12 17 , , PUNCT 1c18df67n8s 12 18 developed develop VERB 1c18df67n8s 12 19 in in ADP 1c18df67n8s 12 20 [ [ X 1c18df67n8s 12 21 128 128 NUM 1c18df67n8s 12 22 ] ] PUNCT 1c18df67n8s 12 23 has have VERB 1c18df67n8s 12 24 multiple multiple ADJ 1c18df67n8s 12 25 steady steady ADJ 1c18df67n8s 12 26 state state NOUN 1c18df67n8s 12 27 solutions solution NOUN 1c18df67n8s 12 28 . . PUNCT 1c18df67n8s 13 1 seven seven NUM 1c18df67n8s 13 2 steady steady ADJ 1c18df67n8s 13 3 state state NOUN 1c18df67n8s 13 4 solutions solution NOUN 1c18df67n8s 13 5 are be AUX 1c18df67n8s 13 6 found find VERB 1c18df67n8s 13 7 by by ADP 1c18df67n8s 13 8 discretizing discretize VERB 1c18df67n8s 13 9 the the DET 1c18df67n8s 13 10 boundary boundary ADJ 1c18df67n8s 13 11 value value NOUN 1c18df67n8s 13 12 problem problem NOUN 1c18df67n8s 13 13 using use VERB 1c18df67n8s 13 14 a a DET 1c18df67n8s 13 15 finite finite ADJ 1c18df67n8s 13 16 difference difference NOUN 1c18df67n8s 13 17 scheme scheme NOUN 1c18df67n8s 13 18 and and CCONJ 1c18df67n8s 13 19 solving solve VERB 1c18df67n8s 13 20 the the DET 1c18df67n8s 13 21 resulting result VERB 1c18df67n8s 13 22 polynomial polynomial ADJ 1c18df67n8s 13 23 system system NOUN 1c18df67n8s 13 24 using use VERB 1c18df67n8s 13 25 algorithms algorithm NOUN 1c18df67n8s 13 26 from from ADP 1c18df67n8s 13 27 numerical numerical ADJ 1c18df67n8s 13 28 algebraic algebraic ADJ 1c18df67n8s 13 29 geometry geometry NOUN 1c18df67n8s 13 30 . . PUNCT 1c18df67n8s 14 1 the the DET 1c18df67n8s 14 2 stability stability NOUN 1c18df67n8s 14 3 of of ADP 1c18df67n8s 14 4 each each PRON 1c18df67n8s 14 5 of of ADP 1c18df67n8s 14 6 these these DET 1c18df67n8s 14 7 steady steady ADJ 1c18df67n8s 14 8 state state NOUN 1c18df67n8s 14 9 solutions solution NOUN 1c18df67n8s 14 10 is be AUX 1c18df67n8s 14 11 studied study VERB 1c18df67n8s 14 12 by by ADP 1c18df67n8s 14 13 mathematical mathematical ADJ 1c18df67n8s 14 14 analysis analysis NOUN 1c18df67n8s 14 15 and and CCONJ 1c18df67n8s 14 16 numerical numerical ADJ 1c18df67n8s 14 17 simulations simulation NOUN 1c18df67n8s 14 18 via via ADP 1c18df67n8s 14 19 a a DET 1c18df67n8s 14 20 time time NOUN 1c18df67n8s 14 21 marching marching NOUN 1c18df67n8s 14 22 approach approach NOUN 1c18df67n8s 14 23 . . PUNCT 1c18df67n8s 15 1 the the DET 1c18df67n8s 15 2 results result NOUN 1c18df67n8s 15 3 show show VERB 1c18df67n8s 15 4 that that SCONJ 1c18df67n8s 15 5 three three NUM 1c18df67n8s 15 6 of of ADP 1c18df67n8s 15 7 the the DET 1c18df67n8s 15 8 seven seven NUM 1c18df67n8s 15 9 steady steady ADJ 1c18df67n8s 15 10 state state NOUN 1c18df67n8s 15 11 solutions solution NOUN 1c18df67n8s 15 12 are be AUX 1c18df67n8s 15 13 stable stable ADJ 1c18df67n8s 15 14 and and CCONJ 1c18df67n8s 15 15 the the DET 1c18df67n8s 15 16 location location NOUN 1c18df67n8s 15 17 of of ADP 1c18df67n8s 15 18 the the DET 1c18df67n8s 15 19 organizer organizer NOUN 1c18df67n8s 15 20 of of ADP 1c18df67n8s 15 21 a a DET 1c18df67n8s 15 22 zebrafish zebrafish ADJ 1c18df67n8s 15 23 embryo embryo NOUN 1c18df67n8s 15 24 determines determine VERB 1c18df67n8s 15 25 which which PRON 1c18df67n8s 15 26 stable stable ADJ 1c18df67n8s 15 27 steady steady ADJ 1c18df67n8s 15 28 state state NOUN 1c18df67n8s 15 29 pattern pattern NOUN 1c18df67n8s 15 30 the the DET 1c18df67n8s 15 31 multi multi ADJ 1c18df67n8s 15 32 - - ADJ 1c18df67n8s 15 33 stability stability ADJ 1c18df67n8s 15 34 system system NOUN 1c18df67n8s 15 35 converges converge VERB 1c18df67n8s 15 36 to to ADP 1c18df67n8s 15 37 . . PUNCT 1c18df67n8s 16 1 numerical numerical ADJ 1c18df67n8s 16 2 simulations simulation NOUN 1c18df67n8s 16 3 also also ADV 1c18df67n8s 16 4 show show VERB 1c18df67n8s 16 5 that that SCONJ 1c18df67n8s 16 6 the the DET 1c18df67n8s 16 7 system system NOUN 1c18df67n8s 16 8 is be AUX 1c18df67n8s 16 9 robust robust ADJ 1c18df67n8s 16 10 with with ADP 1c18df67n8s 16 11 respect respect NOUN 1c18df67n8s 16 12 to to ADP 1c18df67n8s 16 13 the the DET 1c18df67n8s 16 14 change change NOUN 1c18df67n8s 16 15 of of ADP 1c18df67n8s 16 16 the the DET 1c18df67n8s 16 17 organizer organizer NOUN 1c18df67n8s 16 18 size size NOUN 1c18df67n8s 16 19 . . PUNCT 1c18df67n8s 17 1 similar similar ADJ 1c18df67n8s 17 2 approaches approach NOUN 1c18df67n8s 17 3 are be AUX 1c18df67n8s 17 4 applied apply VERB 1c18df67n8s 17 5 to to ADP 1c18df67n8s 17 6 a a DET 1c18df67n8s 17 7 more more ADV 1c18df67n8s 17 8 complicate complicate ADJ 1c18df67n8s 17 9 free free ADJ 1c18df67n8s 17 10 boundary boundary ADJ 1c18df67n8s 17 11 problem problem NOUN 1c18df67n8s 17 12 on on ADP 1c18df67n8s 17 13 tumor tumor NOUN 1c18df67n8s 17 14 growth growth NOUN 1c18df67n8s 17 15 . . PUNCT