id sid tid token lemma pos xp68kd19z78 1 1 mathematical mathematical ADJ xp68kd19z78 1 2 modeling modeling NOUN xp68kd19z78 1 3 and and CCONJ xp68kd19z78 1 4 computational computational ADJ xp68kd19z78 1 5 simulations simulation NOUN xp68kd19z78 1 6 can can AUX xp68kd19z78 1 7 be be AUX xp68kd19z78 1 8 used use VERB xp68kd19z78 1 9 to to PART xp68kd19z78 1 10 predict predict VERB xp68kd19z78 1 11 the the DET xp68kd19z78 1 12 average average ADJ xp68kd19z78 1 13 behavior behavior NOUN xp68kd19z78 1 14 of of ADP xp68kd19z78 1 15 many many ADJ xp68kd19z78 1 16 cell cell NOUN xp68kd19z78 1 17 - - PUNCT xp68kd19z78 1 18 cell cell NOUN xp68kd19z78 1 19 interactions interaction NOUN xp68kd19z78 1 20 . . PUNCT xp68kd19z78 2 1 in in ADP xp68kd19z78 2 2 this this DET xp68kd19z78 2 3 thesis thesis NOUN xp68kd19z78 2 4 , , PUNCT xp68kd19z78 2 5 results result VERB xp68kd19z78 2 6 on on ADP xp68kd19z78 2 7 modeling model VERB xp68kd19z78 2 8 the the DET xp68kd19z78 2 9 predatory predatory ADJ xp68kd19z78 2 10 bacteria bacteria NOUN xp68kd19z78 2 11 myxococcus myxococcus PROPN xp68kd19z78 2 12 xanthus xanthus PROPN xp68kd19z78 2 13 and and CCONJ xp68kd19z78 2 14 the the DET xp68kd19z78 2 15 slug slug NOUN xp68kd19z78 2 16 forming form VERB xp68kd19z78 2 17 amoeba amoeba PROPN xp68kd19z78 2 18 dictyostelium dictyostelium NOUN xp68kd19z78 2 19 discoideum discoideum NOUN xp68kd19z78 2 20 are be AUX xp68kd19z78 2 21 presented present VERB xp68kd19z78 2 22 as as ADV xp68kd19z78 2 23 well well ADV xp68kd19z78 2 24 as as ADP xp68kd19z78 2 25 results result NOUN xp68kd19z78 2 26 on on ADP xp68kd19z78 2 27 random random ADJ xp68kd19z78 2 28 placement placement NOUN xp68kd19z78 2 29 of of ADP xp68kd19z78 2 30 non non ADJ xp68kd19z78 2 31 - - ADJ xp68kd19z78 2 32 overlapping overlapping ADJ xp68kd19z78 2 33 cells cell NOUN xp68kd19z78 2 34 in in ADP xp68kd19z78 2 35 an an DET xp68kd19z78 2 36 individual individual ADJ xp68kd19z78 2 37 based base VERB xp68kd19z78 2 38 model model NOUN xp68kd19z78 2 39 , , PUNCT xp68kd19z78 2 40 and and CCONJ xp68kd19z78 2 41 continuous continuous ADJ xp68kd19z78 2 42 limits limit NOUN xp68kd19z78 2 43 of of ADP xp68kd19z78 2 44 discrete discrete ADJ xp68kd19z78 2 45 stochastic stochastic ADJ xp68kd19z78 2 46 systems system NOUN xp68kd19z78 2 47 . . PUNCT xp68kd19z78 3 1 periodic periodic ADJ xp68kd19z78 3 2 reversals reversal NOUN xp68kd19z78 3 3 in in ADP xp68kd19z78 3 4 systems system NOUN xp68kd19z78 3 5 of of ADP xp68kd19z78 3 6 self self NOUN xp68kd19z78 3 7 - - PUNCT xp68kd19z78 3 8 propelled propel VERB xp68kd19z78 3 9 rod rod NOUN xp68kd19z78 3 10 shaped shape VERB xp68kd19z78 3 11 bacteria bacteria NOUN xp68kd19z78 3 12 can can AUX xp68kd19z78 3 13 lead lead VERB xp68kd19z78 3 14 to to ADP xp68kd19z78 3 15 ordering order VERB xp68kd19z78 3 16 of of ADP xp68kd19z78 3 17 cells cell NOUN xp68kd19z78 3 18 , , PUNCT xp68kd19z78 3 19 thus thus ADV xp68kd19z78 3 20 enabling enable VERB xp68kd19z78 3 21 them they PRON xp68kd19z78 3 22 to to PART xp68kd19z78 3 23 effectively effectively ADV xp68kd19z78 3 24 resolve resolve VERB xp68kd19z78 3 25 traffic traffic NOUN xp68kd19z78 3 26 jams jam NOUN xp68kd19z78 3 27 formed form VERB xp68kd19z78 3 28 during during ADP xp68kd19z78 3 29 swarming swarm VERB xp68kd19z78 3 30 and and CCONJ xp68kd19z78 3 31 maximize maximize VERB xp68kd19z78 3 32 their their PRON xp68kd19z78 3 33 swarming swarm VERB xp68kd19z78 3 34 rate rate NOUN xp68kd19z78 3 35 . . PUNCT xp68kd19z78 4 1 a a DET xp68kd19z78 4 2 connection connection NOUN xp68kd19z78 4 3 is be AUX xp68kd19z78 4 4 described describe VERB xp68kd19z78 4 5 between between ADP xp68kd19z78 4 6 a a DET xp68kd19z78 4 7 one one NUM xp68kd19z78 4 8 dimensional dimensional ADJ xp68kd19z78 4 9 cell cell NOUN xp68kd19z78 4 10 - - PUNCT xp68kd19z78 4 11 based base VERB xp68kd19z78 4 12 stochastic stochastic ADJ xp68kd19z78 4 13 model model NOUN xp68kd19z78 4 14 of of ADP xp68kd19z78 4 15 reversing reverse VERB xp68kd19z78 4 16 non non ADJ xp68kd19z78 4 17 - - ADJ xp68kd19z78 4 18 overlapping overlapping ADJ xp68kd19z78 4 19 bacteria bacteria NOUN xp68kd19z78 4 20 and and CCONJ xp68kd19z78 4 21 a a DET xp68kd19z78 4 22 non non ADJ xp68kd19z78 4 23 - - ADJ xp68kd19z78 4 24 linear linear ADJ xp68kd19z78 4 25 diffusion diffusion NOUN xp68kd19z78 4 26 equation equation NOUN xp68kd19z78 4 27 . . PUNCT xp68kd19z78 5 1 boltzmannmatano boltzmannmatano PROPN xp68kd19z78 5 2 analysis analysis NOUN xp68kd19z78 5 3 is be AUX xp68kd19z78 5 4 used use VERB xp68kd19z78 5 5 to to PART xp68kd19z78 5 6 determine determine VERB xp68kd19z78 5 7 the the DET xp68kd19z78 5 8 nonlinear nonlinear ADJ xp68kd19z78 5 9 diffusion diffusion NOUN xp68kd19z78 5 10 equation equation NOUN xp68kd19z78 5 11 corresponding correspond VERB xp68kd19z78 5 12 to to ADP xp68kd19z78 5 13 the the DET xp68kd19z78 5 14 specific specific ADJ xp68kd19z78 5 15 reversal reversal NOUN xp68kd19z78 5 16 frequency frequency NOUN xp68kd19z78 5 17 . . PUNCT xp68kd19z78 6 1 it it PRON xp68kd19z78 6 2 is be AUX xp68kd19z78 6 3 shown show VERB xp68kd19z78 6 4 that that SCONJ xp68kd19z78 6 5 cell cell NOUN xp68kd19z78 6 6 populations population NOUN xp68kd19z78 6 7 with with ADP xp68kd19z78 6 8 high high ADJ xp68kd19z78 6 9 reversal reversal NOUN xp68kd19z78 6 10 frequencies frequency NOUN xp68kd19z78 6 11 are be AUX xp68kd19z78 6 12 able able ADJ xp68kd19z78 6 13 to to PART xp68kd19z78 6 14 spread spread VERB xp68kd19z78 6 15 out out ADP xp68kd19z78 6 16 effectively effectively ADV xp68kd19z78 6 17 at at ADP xp68kd19z78 6 18 high high ADJ xp68kd19z78 6 19 densities density NOUN xp68kd19z78 6 20 . . PUNCT xp68kd19z78 7 1 if if SCONJ xp68kd19z78 7 2 the the DET xp68kd19z78 7 3 cells cell NOUN xp68kd19z78 7 4 rarely rarely ADV xp68kd19z78 7 5 reverse reverse VERB xp68kd19z78 7 6 then then ADV xp68kd19z78 7 7 they they PRON xp68kd19z78 7 8 are be AUX xp68kd19z78 7 9 able able ADJ xp68kd19z78 7 10 to to PART xp68kd19z78 7 11 spread spread VERB xp68kd19z78 7 12 out out ADP xp68kd19z78 7 13 at at ADP xp68kd19z78 7 14 lower low ADJ xp68kd19z78 7 15 densities density NOUN xp68kd19z78 7 16 but but CCONJ xp68kd19z78 7 17 are be AUX xp68kd19z78 7 18 not not PART xp68kd19z78 7 19 able able ADJ xp68kd19z78 7 20 to to PART xp68kd19z78 7 21 spread spread VERB xp68kd19z78 7 22 out out ADP xp68kd19z78 7 23 at at ADP xp68kd19z78 7 24 higher high ADJ xp68kd19z78 7 25 densities density NOUN xp68kd19z78 7 26 . . PUNCT xp68kd19z78 8 1 the the DET xp68kd19z78 8 2 amoeba amoeba PROPN xp68kd19z78 8 3 dictyostelium dictyostelium NOUN xp68kd19z78 8 4 is be AUX xp68kd19z78 8 5 able able ADJ xp68kd19z78 8 6 to to PART xp68kd19z78 8 7 sense sense VERB xp68kd19z78 8 8 the the DET xp68kd19z78 8 9 location location NOUN xp68kd19z78 8 10 of of ADP xp68kd19z78 8 11 other other ADJ xp68kd19z78 8 12 members member NOUN xp68kd19z78 8 13 of of ADP xp68kd19z78 8 14 its its PRON xp68kd19z78 8 15 species specie NOUN xp68kd19z78 8 16 and and CCONJ xp68kd19z78 8 17 aggregate aggregate NOUN xp68kd19z78 8 18 , , PUNCT xp68kd19z78 8 19 using use VERB xp68kd19z78 8 20 chemotaxis chemotaxis NOUN xp68kd19z78 8 21 . . PUNCT xp68kd19z78 9 1 during during ADP xp68kd19z78 9 2 aggregation aggregation NOUN xp68kd19z78 9 3 , , PUNCT xp68kd19z78 9 4 the the DET xp68kd19z78 9 5 amoeba amoeba PROPN xp68kd19z78 9 6 creates create VERB xp68kd19z78 9 7 and and CCONJ xp68kd19z78 9 8 follows follow VERB xp68kd19z78 9 9 the the DET xp68kd19z78 9 10 gradient gradient NOUN xp68kd19z78 9 11 of of ADP xp68kd19z78 9 12 a a DET xp68kd19z78 9 13 diffusive diffusive ADJ xp68kd19z78 9 14 chemical chemical NOUN xp68kd19z78 9 15 . . PUNCT xp68kd19z78 10 1 through through ADP xp68kd19z78 10 2 local local ADJ xp68kd19z78 10 3 behavioral behavioral ADJ xp68kd19z78 10 4 chemotactic chemotactic ADJ xp68kd19z78 10 5 rules rule NOUN xp68kd19z78 10 6 , , PUNCT xp68kd19z78 10 7 the the DET xp68kd19z78 10 8 cells cell NOUN xp68kd19z78 10 9 are be AUX xp68kd19z78 10 10 able able ADJ xp68kd19z78 10 11 to to PART xp68kd19z78 10 12 cluster cluster VERB xp68kd19z78 10 13 together together ADV xp68kd19z78 10 14 and and CCONJ xp68kd19z78 10 15 create create VERB xp68kd19z78 10 16 slugs slug NOUN xp68kd19z78 10 17 . . PUNCT xp68kd19z78 11 1 pde pde PROPN xp68kd19z78 11 2 equations equation NOUN xp68kd19z78 11 3 describing describe VERB xp68kd19z78 11 4 this this DET xp68kd19z78 11 5 behavior behavior NOUN xp68kd19z78 11 6 have have AUX xp68kd19z78 11 7 been be AUX xp68kd19z78 11 8 derived derive VERB xp68kd19z78 11 9 in in ADP xp68kd19z78 11 10 ( ( PUNCT xp68kd19z78 11 11 lushnikov lushnikov PROPN xp68kd19z78 11 12 , , PUNCT xp68kd19z78 11 13 2008 2008 NUM xp68kd19z78 11 14 ) ) PUNCT xp68kd19z78 11 15 . . PUNCT xp68kd19z78 12 1 existence existence NOUN xp68kd19z78 12 2 , , PUNCT xp68kd19z78 12 3 uniqueness uniqueness NOUN xp68kd19z78 12 4 and and CCONJ xp68kd19z78 12 5 boundedness boundedness NOUN xp68kd19z78 12 6 of of ADP xp68kd19z78 12 7 solutions solution NOUN xp68kd19z78 12 8 of of ADP xp68kd19z78 12 9 this this DET xp68kd19z78 12 10 equation equation NOUN xp68kd19z78 12 11 are be AUX xp68kd19z78 12 12 proven prove VERB xp68kd19z78 12 13 in in ADP xp68kd19z78 12 14 ( ( PUNCT xp68kd19z78 12 15 alber alber PROPN xp68kd19z78 12 16 , , PUNCT xp68kd19z78 12 17 2009 2009 NUM xp68kd19z78 12 18 ) ) PUNCT xp68kd19z78 12 19 and and CCONJ xp68kd19z78 12 20 this this DET xp68kd19z78 12 21 thesis thesis NOUN xp68kd19z78 12 22 . . PUNCT xp68kd19z78 13 1 the the DET xp68kd19z78 13 2 1d 1d NUM xp68kd19z78 13 3 steady steady ADJ xp68kd19z78 13 4 state state NOUN xp68kd19z78 13 5 solutions solution NOUN xp68kd19z78 13 6 and and CCONJ xp68kd19z78 13 7 their their PRON xp68kd19z78 13 8 stability stability NOUN xp68kd19z78 13 9 are be AUX xp68kd19z78 13 10 also also ADV xp68kd19z78 13 11 analyzed analyze VERB xp68kd19z78 13 12 . . PUNCT xp68kd19z78 14 1 it it PRON xp68kd19z78 14 2 is be AUX xp68kd19z78 14 3 predicted predict VERB xp68kd19z78 14 4 that that SCONJ xp68kd19z78 14 5 stable stable ADJ xp68kd19z78 14 6 solutions solution NOUN xp68kd19z78 14 7 correspond correspond VERB xp68kd19z78 14 8 to to ADP xp68kd19z78 14 9 biologically biologically ADV xp68kd19z78 14 10 realizable realizable ADJ xp68kd19z78 14 11 aggregates aggregate NOUN xp68kd19z78 14 12 , , PUNCT xp68kd19z78 14 13 and and CCONJ xp68kd19z78 14 14 conditions condition NOUN xp68kd19z78 14 15 for for ADP xp68kd19z78 14 16 determining determine VERB xp68kd19z78 14 17 whether whether SCONJ xp68kd19z78 14 18 or or CCONJ xp68kd19z78 14 19 not not PART xp68kd19z78 14 20 certain certain ADJ xp68kd19z78 14 21 amoeba amoeba PROPN xp68kd19z78 14 22 aggregation aggregation NOUN xp68kd19z78 14 23 patterns pattern NOUN xp68kd19z78 14 24 will will AUX xp68kd19z78 14 25 occur occur VERB xp68kd19z78 14 26 in in ADP xp68kd19z78 14 27 nature nature NOUN xp68kd19z78 14 28 are be AUX xp68kd19z78 14 29 presented present VERB xp68kd19z78 14 30 . . PUNCT