id sid tid token lemma pos jm214m93s0p 1 1 free free ADJ jm214m93s0p 1 2 boundary boundary ADJ jm214m93s0p 1 3 problems problem NOUN jm214m93s0p 1 4 ( ( PUNCT jm214m93s0p 1 5 the the DET jm214m93s0p 1 6 time time NOUN jm214m93s0p 1 7 dependent dependent ADJ jm214m93s0p 1 8 problems problem NOUN jm214m93s0p 1 9 are be AUX jm214m93s0p 1 10 also also ADV jm214m93s0p 1 11 often often ADV jm214m93s0p 1 12 known know VERB jm214m93s0p 1 13 as as ADP jm214m93s0p 1 14 moving move VERB jm214m93s0p 1 15 boundary boundary ADJ jm214m93s0p 1 16 problems problem NOUN jm214m93s0p 1 17 ) ) PUNCT jm214m93s0p 1 18 deal deal VERB jm214m93s0p 1 19 with with ADP jm214m93s0p 1 20 systems system NOUN jm214m93s0p 1 21 of of ADP jm214m93s0p 1 22 partial partial ADJ jm214m93s0p 1 23 differential differential ADJ jm214m93s0p 1 24 equations equation NOUN jm214m93s0p 1 25 ( ( PUNCT jm214m93s0p 1 26 pdes pde NOUN jm214m93s0p 1 27 ) ) PUNCT jm214m93s0p 1 28 where where SCONJ jm214m93s0p 1 29 the the DET jm214m93s0p 1 30 domain domain NOUN jm214m93s0p 1 31 boundary boundary NOUN jm214m93s0p 1 32 is be AUX jm214m93s0p 1 33 apriori apriori PROPN jm214m93s0p 1 34 unknown unknown ADJ jm214m93s0p 1 35 . . PUNCT jm214m93s0p 2 1 many many ADJ jm214m93s0p 2 2 mathematical mathematical ADJ jm214m93s0p 2 3 models model NOUN jm214m93s0p 2 4 in in ADP jm214m93s0p 2 5 different different ADJ jm214m93s0p 2 6 disciplines discipline NOUN jm214m93s0p 2 7 , , PUNCT jm214m93s0p 2 8 e.g. e.g. ADV jm214m93s0p 2 9 , , PUNCT jm214m93s0p 2 10 biology biology NOUN jm214m93s0p 2 11 , , PUNCT jm214m93s0p 2 12 ecology ecology NOUN jm214m93s0p 2 13 , , PUNCT jm214m93s0p 2 14 physics physics NOUN jm214m93s0p 2 15 , , PUNCT jm214m93s0p 2 16 and and CCONJ jm214m93s0p 2 17 material material NOUN jm214m93s0p 2 18 science science NOUN jm214m93s0p 2 19 , , PUNCT jm214m93s0p 2 20 involve involve VERB jm214m93s0p 2 21 the the DET jm214m93s0p 2 22 formulation formulation NOUN jm214m93s0p 2 23 of of ADP jm214m93s0p 2 24 free free ADJ jm214m93s0p 2 25 boundary boundary ADJ jm214m93s0p 2 26 problems problem NOUN jm214m93s0p 2 27 . . PUNCT jm214m93s0p 3 1 in in ADP jm214m93s0p 3 2 this this DET jm214m93s0p 3 3 thesis thesis NOUN jm214m93s0p 3 4 , , PUNCT jm214m93s0p 3 5 several several ADJ jm214m93s0p 3 6 free free ADJ jm214m93s0p 3 7 boundary boundary ADJ jm214m93s0p 3 8 problems problem NOUN jm214m93s0p 3 9 with with ADP jm214m93s0p 3 10 real real ADJ jm214m93s0p 3 11 - - PUNCT jm214m93s0p 3 12 world world NOUN jm214m93s0p 3 13 applications application NOUN jm214m93s0p 3 14 are be AUX jm214m93s0p 3 15 studied study VERB jm214m93s0p 3 16 , , PUNCT jm214m93s0p 3 17 which which PRON jm214m93s0p 3 18 include include VERB jm214m93s0p 3 19 a a DET jm214m93s0p 3 20 tumor tumor NOUN jm214m93s0p 3 21 growth growth NOUN jm214m93s0p 3 22 model model NOUN jm214m93s0p 3 23 with with ADP jm214m93s0p 3 24 a a DET jm214m93s0p 3 25 time time NOUN jm214m93s0p 3 26 delay delay NOUN jm214m93s0p 3 27 in in ADP jm214m93s0p 3 28 cell cell NOUN jm214m93s0p 3 29 proliferation proliferation NOUN jm214m93s0p 3 30 , , PUNCT jm214m93s0p 3 31 a a DET jm214m93s0p 3 32 plaque plaque NOUN jm214m93s0p 3 33 formation formation NOUN jm214m93s0p 3 34 model model NOUN jm214m93s0p 3 35 , , PUNCT jm214m93s0p 3 36 and and CCONJ jm214m93s0p 3 37 a a DET jm214m93s0p 3 38 modified modify VERB jm214m93s0p 3 39 hele hele PROPN jm214m93s0p 3 40 - - PUNCT jm214m93s0p 3 41 shaw shaw PROPN jm214m93s0p 3 42 problem problem NOUN jm214m93s0p 3 43 . . PUNCT jm214m93s0p 4 1 stability stability NOUN jm214m93s0p 4 2 and and CCONJ jm214m93s0p 4 3 bifurcation bifurcation NOUN jm214m93s0p 4 4 analysis analysis NOUN jm214m93s0p 4 5 are be AUX jm214m93s0p 4 6 presented present VERB jm214m93s0p 4 7 to to PART jm214m93s0p 4 8 analyze analyze VERB jm214m93s0p 4 9 these these DET jm214m93s0p 4 10 models model NOUN jm214m93s0p 4 11 . . PUNCT jm214m93s0p 5 1 each each DET jm214m93s0p 5 2 chapter chapter NOUN jm214m93s0p 5 3 is be AUX jm214m93s0p 5 4 devoted devoted ADJ jm214m93s0p 5 5 to to ADP jm214m93s0p 5 6 a a DET jm214m93s0p 5 7 separate separate ADJ jm214m93s0p 5 8 mathematical mathematical ADJ jm214m93s0p 5 9 model model NOUN jm214m93s0p 5 10 . . PUNCT