id sid tid token lemma pos 3197xk83f5r 1 1 intensity intensity NOUN 3197xk83f5r 1 2 - - PUNCT 3197xk83f5r 1 3 modulated modulate VERB 3197xk83f5r 1 4 radiation radiation NOUN 3197xk83f5r 1 5 therapy therapy NOUN 3197xk83f5r 1 6 ( ( PUNCT 3197xk83f5r 1 7 imrt imrt PROPN 3197xk83f5r 1 8 ) ) PUNCT 3197xk83f5r 1 9 is be AUX 3197xk83f5r 1 10 a a DET 3197xk83f5r 1 11 modern modern ADJ 3197xk83f5r 1 12 cancer cancer NOUN 3197xk83f5r 1 13 treatment treatment NOUN 3197xk83f5r 1 14 technique technique NOUN 3197xk83f5r 1 15 aiming aim VERB 3197xk83f5r 1 16 to to PART 3197xk83f5r 1 17 deliver deliver VERB 3197xk83f5r 1 18 a a DET 3197xk83f5r 1 19 prescribed prescribed ADJ 3197xk83f5r 1 20 conformal conformal ADJ 3197xk83f5r 1 21 radiation radiation NOUN 3197xk83f5r 1 22 dose dose NOUN 3197xk83f5r 1 23 to to ADP 3197xk83f5r 1 24 a a DET 3197xk83f5r 1 25 target target NOUN 3197xk83f5r 1 26 tumor tumor NOUN 3197xk83f5r 1 27 while while SCONJ 3197xk83f5r 1 28 sparing spare VERB 3197xk83f5r 1 29 the the DET 3197xk83f5r 1 30 surrounding surround VERB 3197xk83f5r 1 31 normal normal ADJ 3197xk83f5r 1 32 tissues tissue NOUN 3197xk83f5r 1 33 and and CCONJ 3197xk83f5r 1 34 critical critical ADJ 3197xk83f5r 1 35 structures structure NOUN 3197xk83f5r 1 36 . . PUNCT 3197xk83f5r 2 1 the the DET 3197xk83f5r 2 2 prescribed prescribed ADJ 3197xk83f5r 2 3 radiation radiation NOUN 3197xk83f5r 2 4 dose dose NOUN 3197xk83f5r 2 5 is be AUX 3197xk83f5r 2 6 specified specify VERB 3197xk83f5r 2 7 by by ADP 3197xk83f5r 2 8 intensity intensity NOUN 3197xk83f5r 2 9 maps map NOUN 3197xk83f5r 2 10 ( ( PUNCT 3197xk83f5r 2 11 i i PRON 3197xk83f5r 2 12 m m VERB 3197xk83f5r 2 13 ) ) PUNCT 3197xk83f5r 2 14 . . PUNCT 3197xk83f5r 3 1 in in ADP 3197xk83f5r 3 2 this this DET 3197xk83f5r 3 3 thesis thesis NOUN 3197xk83f5r 3 4 , , PUNCT 3197xk83f5r 3 5 we we PRON 3197xk83f5r 3 6 study study VERB 3197xk83f5r 3 7 a a DET 3197xk83f5r 3 8 set set NOUN 3197xk83f5r 3 9 of of ADP 3197xk83f5r 3 10 combinatorial combinatorial ADJ 3197xk83f5r 3 11 and and CCONJ 3197xk83f5r 3 12 geometric geometric ADJ 3197xk83f5r 3 13 problems problem NOUN 3197xk83f5r 3 14 that that PRON 3197xk83f5r 3 15 arise arise VERB 3197xk83f5r 3 16 in in ADP 3197xk83f5r 3 17 imrt imrt PROPN 3197xk83f5r 3 18 planning planning PROPN 3197xk83f5r 3 19 and and CCONJ 3197xk83f5r 3 20 delivery delivery NOUN 3197xk83f5r 3 21 : : PUNCT 3197xk83f5r 3 22 ( ( PUNCT 3197xk83f5r 3 23 1 1 X 3197xk83f5r 3 24 ) ) PUNCT 3197xk83f5r 3 25 the the DET 3197xk83f5r 3 26 3 3 NUM 3197xk83f5r 3 27 - - PUNCT 3197xk83f5r 3 28 d d NOUN 3197xk83f5r 3 29 static static ADJ 3197xk83f5r 3 30 leaf leaf NOUN 3197xk83f5r 3 31 sequencing sequencing NOUN 3197xk83f5r 3 32 ( ( PUNCT 3197xk83f5r 3 33 sls sls NOUN 3197xk83f5r 3 34 ) ) PUNCT 3197xk83f5r 3 35 problem problem NOUN 3197xk83f5r 3 36 , , PUNCT 3197xk83f5r 3 37 whose whose DET 3197xk83f5r 3 38 goal goal NOUN 3197xk83f5r 3 39 is be AUX 3197xk83f5r 3 40 to to PART 3197xk83f5r 3 41 deliver deliver VERB 3197xk83f5r 3 42 the the DET 3197xk83f5r 3 43 prescribed prescribed ADJ 3197xk83f5r 3 44 ims im NOUN 3197xk83f5r 3 45 in in ADP 3197xk83f5r 3 46 the the DET 3197xk83f5r 3 47 minimum minimum ADJ 3197xk83f5r 3 48 amount amount NOUN 3197xk83f5r 3 49 of of ADP 3197xk83f5r 3 50 time time NOUN 3197xk83f5r 3 51 ; ; PUNCT 3197xk83f5r 3 52 ( ( PUNCT 3197xk83f5r 3 53 2 2 X 3197xk83f5r 3 54 ) ) PUNCT 3197xk83f5r 3 55 the the DET 3197xk83f5r 3 56 3 3 NUM 3197xk83f5r 3 57 - - PUNCT 3197xk83f5r 3 58 d d NOUN 3197xk83f5r 3 59 static static ADJ 3197xk83f5r 3 60 leaf leaf NOUN 3197xk83f5r 3 61 sequencing sequence VERB 3197xk83f5r 3 62 with with ADP 3197xk83f5r 3 63 error error NOUN 3197xk83f5r 3 64 control control NOUN 3197xk83f5r 3 65 problem problem NOUN 3197xk83f5r 3 66 , , PUNCT 3197xk83f5r 3 67 which which PRON 3197xk83f5r 3 68 aims aim VERB 3197xk83f5r 3 69 to to PART 3197xk83f5r 3 70 deliver deliver VERB 3197xk83f5r 3 71 the the DET 3197xk83f5r 3 72 prescribed prescribed ADJ 3197xk83f5r 3 73 ims im NOUN 3197xk83f5r 3 74 in in ADP 3197xk83f5r 3 75 the the DET 3197xk83f5r 3 76 minimum minimum ADJ 3197xk83f5r 3 77 amount amount NOUN 3197xk83f5r 3 78 of of ADP 3197xk83f5r 3 79 time time NOUN 3197xk83f5r 3 80 subject subject ADJ 3197xk83f5r 3 81 to to ADP 3197xk83f5r 3 82 the the DET 3197xk83f5r 3 83 constraint constraint NOUN 3197xk83f5r 3 84 that that SCONJ 3197xk83f5r 3 85 no no DET 3197xk83f5r 3 86 unnecessary unnecessary ADJ 3197xk83f5r 3 87 machine machine NOUN 3197xk83f5r 3 88 delivery delivery NOUN 3197xk83f5r 3 89 error error NOUN 3197xk83f5r 3 90 is be AUX 3197xk83f5r 3 91 introduced introduce VERB 3197xk83f5r 3 92 ; ; PUNCT 3197xk83f5r 3 93 ( ( PUNCT 3197xk83f5r 3 94 3 3 X 3197xk83f5r 3 95 ) ) PUNCT 3197xk83f5r 3 96 the the DET 3197xk83f5r 3 97 field field NOUN 3197xk83f5r 3 98 splitting splitting NOUN 3197xk83f5r 3 99 problems problem NOUN 3197xk83f5r 3 100 , , PUNCT 3197xk83f5r 3 101 which which PRON 3197xk83f5r 3 102 seek seek VERB 3197xk83f5r 3 103 to to PART 3197xk83f5r 3 104 split split VERB 3197xk83f5r 3 105 a a DET 3197xk83f5r 3 106 large large ADJ 3197xk83f5r 3 107 width width NOUN 3197xk83f5r 3 108 , , PUNCT 3197xk83f5r 3 109 undeliverable undeliverable ADJ 3197xk83f5r 3 110 i i PRON 3197xk83f5r 3 111 m m VERB 3197xk83f5r 3 112 into into ADP 3197xk83f5r 3 113 several several ADJ 3197xk83f5r 3 114 deliverable deliverable ADJ 3197xk83f5r 3 115 sub sub NOUN 3197xk83f5r 3 116 - - NOUN 3197xk83f5r 3 117 ims im NOUN 3197xk83f5r 3 118 of of ADP 3197xk83f5r 3 119 widths width NOUN 3197xk83f5r 3 120 no no ADV 3197xk83f5r 3 121 larger large ADJ 3197xk83f5r 3 122 than than ADP 3197xk83f5r 3 123 a a DET 3197xk83f5r 3 124 given give VERB 3197xk83f5r 3 125 threshold threshold NOUN 3197xk83f5r 3 126 value value NOUN 3197xk83f5r 3 127 such such ADJ 3197xk83f5r 3 128 that that SCONJ 3197xk83f5r 3 129 the the DET 3197xk83f5r 3 130 total total ADJ 3197xk83f5r 3 131 beam beam NOUN 3197xk83f5r 3 132 - - PUNCT 3197xk83f5r 3 133 on on ADP 3197xk83f5r 3 134 time time NOUN 3197xk83f5r 3 135 during during ADP 3197xk83f5r 3 136 delivery delivery NOUN 3197xk83f5r 3 137 is be AUX 3197xk83f5r 3 138 minimized minimize VERB 3197xk83f5r 3 139 ; ; PUNCT 3197xk83f5r 3 140 ( ( PUNCT 3197xk83f5r 3 141 4 4 X 3197xk83f5r 3 142 ) ) PUNCT 3197xk83f5r 3 143 the the DET 3197xk83f5r 3 144 shape shape NOUN 3197xk83f5r 3 145 rectangularization rectangularization NOUN 3197xk83f5r 3 146 problems problem NOUN 3197xk83f5r 3 147 , , PUNCT 3197xk83f5r 3 148 which which PRON 3197xk83f5r 3 149 are be AUX 3197xk83f5r 3 150 useful useful ADJ 3197xk83f5r 3 151 in in ADP 3197xk83f5r 3 152 simplifying simplify VERB 3197xk83f5r 3 153 a a DET 3197xk83f5r 3 154 complicated complicated ADJ 3197xk83f5r 3 155 continuous continuous ADJ 3197xk83f5r 3 156 dose dose NOUN 3197xk83f5r 3 157 distribution distribution NOUN 3197xk83f5r 3 158 into into ADP 3197xk83f5r 3 159 a a DET 3197xk83f5r 3 160 deliverable deliverable ADJ 3197xk83f5r 3 161 discrete discrete NOUN 3197xk83f5r 3 162 i i PRON 3197xk83f5r 3 163 m m VERB 3197xk83f5r 3 164 ; ; PUNCT 3197xk83f5r 3 165 ( ( PUNCT 3197xk83f5r 3 166 5 5 X 3197xk83f5r 3 167 ) ) PUNCT 3197xk83f5r 3 168 the the DET 3197xk83f5r 3 169 coupled couple VERB 3197xk83f5r 3 170 path path NOUN 3197xk83f5r 3 171 planning planning NOUN 3197xk83f5r 3 172 problems problem NOUN 3197xk83f5r 3 173 , , PUNCT 3197xk83f5r 3 174 which which PRON 3197xk83f5r 3 175 are be AUX 3197xk83f5r 3 176 directly directly ADV 3197xk83f5r 3 177 related relate VERB 3197xk83f5r 3 178 to to ADP 3197xk83f5r 3 179 dynamic dynamic ADJ 3197xk83f5r 3 180 leaf leaf NOUN 3197xk83f5r 3 181 sequencing sequencing NOUN 3197xk83f5r 3 182 and and CCONJ 3197xk83f5r 3 183 single single ADJ 3197xk83f5r 3 184 - - PUNCT 3197xk83f5r 3 185 arc arc NOUN 3197xk83f5r 3 186 dose dose NOUN 3197xk83f5r 3 187 painting painting NOUN 3197xk83f5r 3 188 , , PUNCT 3197xk83f5r 3 189 an an DET 3197xk83f5r 3 190 emerging emerge VERB 3197xk83f5r 3 191 imrt imrt PROPN 3197xk83f5r 3 192 delivery delivery NOUN 3197xk83f5r 3 193 technique technique NOUN 3197xk83f5r 3 194 . . PUNCT 3197xk83f5r 4 1 known known ADJ 3197xk83f5r 4 2 algorithms algorithm NOUN 3197xk83f5r 4 3 for for ADP 3197xk83f5r 4 4 the the DET 3197xk83f5r 4 5 above above ADJ 3197xk83f5r 4 6 problems problem NOUN 3197xk83f5r 4 7 , , PUNCT 3197xk83f5r 4 8 both both PRON 3197xk83f5r 4 9 in in ADP 3197xk83f5r 4 10 commercial commercial ADJ 3197xk83f5r 4 11 planning planning NOUN 3197xk83f5r 4 12 systems system NOUN 3197xk83f5r 4 13 and and CCONJ 3197xk83f5r 4 14 in in ADP 3197xk83f5r 4 15 medical medical ADJ 3197xk83f5r 4 16 literature literature NOUN 3197xk83f5r 4 17 , , PUNCT 3197xk83f5r 4 18 either either CCONJ 3197xk83f5r 4 19 are be AUX 3197xk83f5r 4 20 heuristics heuristic NOUN 3197xk83f5r 4 21 that that PRON 3197xk83f5r 4 22 do do AUX 3197xk83f5r 4 23 not not PART 3197xk83f5r 4 24 provide provide VERB 3197xk83f5r 4 25 any any DET 3197xk83f5r 4 26 quality quality NOUN 3197xk83f5r 4 27 guarantee guarantee NOUN 3197xk83f5r 4 28 of of ADP 3197xk83f5r 4 29 the the DET 3197xk83f5r 4 30 solutions solution NOUN 3197xk83f5r 4 31 , , PUNCT 3197xk83f5r 4 32 or or CCONJ 3197xk83f5r 4 33 could could AUX 3197xk83f5r 4 34 handle handle VERB 3197xk83f5r 4 35 only only ADV 3197xk83f5r 4 36 very very ADV 3197xk83f5r 4 37 special special ADJ 3197xk83f5r 4 38 cases case NOUN 3197xk83f5r 4 39 . . PUNCT 3197xk83f5r 5 1 in in ADP 3197xk83f5r 5 2 this this DET 3197xk83f5r 5 3 thesis thesis NOUN 3197xk83f5r 5 4 , , PUNCT 3197xk83f5r 5 5 we we PRON 3197xk83f5r 5 6 present present VERB 3197xk83f5r 5 7 new new ADJ 3197xk83f5r 5 8 efficient efficient ADJ 3197xk83f5r 5 9 algorithms algorithm NOUN 3197xk83f5r 5 10 for for ADP 3197xk83f5r 5 11 these these DET 3197xk83f5r 5 12 problems problem NOUN 3197xk83f5r 5 13 that that PRON 3197xk83f5r 5 14 guarantee guarantee VERB 3197xk83f5r 5 15 the the DET 3197xk83f5r 5 16 optimal optimal ADJ 3197xk83f5r 5 17 quality quality NOUN 3197xk83f5r 5 18 of of ADP 3197xk83f5r 5 19 the the DET 3197xk83f5r 5 20 solutions solution NOUN 3197xk83f5r 5 21 . . PUNCT 3197xk83f5r 6 1 our our PRON 3197xk83f5r 6 2 main main ADJ 3197xk83f5r 6 3 ideas idea NOUN 3197xk83f5r 6 4 are be AUX 3197xk83f5r 6 5 to to PART 3197xk83f5r 6 6 exploit exploit VERB 3197xk83f5r 6 7 the the DET 3197xk83f5r 6 8 underlying underlie VERB 3197xk83f5r 6 9 geometric geometric ADJ 3197xk83f5r 6 10 and and CCONJ 3197xk83f5r 6 11 combinatorial combinatorial ADJ 3197xk83f5r 6 12 properties property NOUN 3197xk83f5r 6 13 of of ADP 3197xk83f5r 6 14 the the DET 3197xk83f5r 6 15 problems problem NOUN 3197xk83f5r 6 16 and and CCONJ 3197xk83f5r 6 17 transform transform VERB 3197xk83f5r 6 18 them they PRON 3197xk83f5r 6 19 into into ADP 3197xk83f5r 6 20 graph graph NOUN 3197xk83f5r 6 21 problems problem NOUN 3197xk83f5r 6 22 such such ADJ 3197xk83f5r 6 23 as as ADP 3197xk83f5r 6 24 shortest short ADJ 3197xk83f5r 6 25 paths path NOUN 3197xk83f5r 6 26 , , PUNCT 3197xk83f5r 6 27 optimal optimal ADJ 3197xk83f5r 6 28 matchings matching NOUN 3197xk83f5r 6 29 , , PUNCT 3197xk83f5r 6 30 maximum maximum ADJ 3197xk83f5r 6 31 flows flow NOUN 3197xk83f5r 6 32 , , PUNCT 3197xk83f5r 6 33 multicommodity multicommodity NOUN 3197xk83f5r 6 34 demand demand NOUN 3197xk83f5r 6 35 flows flow VERB 3197xk83f5r 6 36 , , PUNCT 3197xk83f5r 6 37 or or CCONJ 3197xk83f5r 6 38 linear linear ADJ 3197xk83f5r 6 39 programming programming NOUN 3197xk83f5r 6 40 problems problem NOUN 3197xk83f5r 6 41 . . PUNCT 3197xk83f5r 7 1 we we PRON 3197xk83f5r 7 2 have have AUX 3197xk83f5r 7 3 implemented implement VERB 3197xk83f5r 7 4 most most ADJ 3197xk83f5r 7 5 of of ADP 3197xk83f5r 7 6 the the DET 3197xk83f5r 7 7 proposed propose VERB 3197xk83f5r 7 8 algorithms algorithm NOUN 3197xk83f5r 7 9 and and CCONJ 3197xk83f5r 7 10 experimented experiment VERB 3197xk83f5r 7 11 with with ADP 3197xk83f5r 7 12 them they PRON 3197xk83f5r 7 13 using use VERB 3197xk83f5r 7 14 real real ADJ 3197xk83f5r 7 15 medical medical ADJ 3197xk83f5r 7 16 data datum NOUN 3197xk83f5r 7 17 . . PUNCT 3197xk83f5r 8 1 compared compare VERB 3197xk83f5r 8 2 with with ADP 3197xk83f5r 8 3 commercial commercial ADJ 3197xk83f5r 8 4 treatment treatment NOUN 3197xk83f5r 8 5 planning planning NOUN 3197xk83f5r 8 6 systems system NOUN 3197xk83f5r 8 7 and and CCONJ 3197xk83f5r 8 8 well well ADV 3197xk83f5r 8 9 - - PUNCT 3197xk83f5r 8 10 known know VERB 3197xk83f5r 8 11 algorithms algorithm NOUN 3197xk83f5r 8 12 in in ADP 3197xk83f5r 8 13 medical medical ADJ 3197xk83f5r 8 14 literature literature NOUN 3197xk83f5r 8 15 , , PUNCT 3197xk83f5r 8 16 our our PRON 3197xk83f5r 8 17 algorithms algorithm NOUN 3197xk83f5r 8 18 produce produce VERB 3197xk83f5r 8 19 treatment treatment NOUN 3197xk83f5r 8 20 plans plan NOUN 3197xk83f5r 8 21 of of ADP 3197xk83f5r 8 22 much much ADV 3197xk83f5r 8 23 better well ADJ 3197xk83f5r 8 24 quality quality NOUN 3197xk83f5r 8 25 . . PUNCT 3197xk83f5r 9 1 some some PRON 3197xk83f5r 9 2 of of ADP 3197xk83f5r 9 3 the the DET 3197xk83f5r 9 4 software software NOUN 3197xk83f5r 9 5 that that PRON 3197xk83f5r 9 6 we we PRON 3197xk83f5r 9 7 have have AUX 3197xk83f5r 9 8 developed develop VERB 3197xk83f5r 9 9 have have AUX 3197xk83f5r 9 10 been be AUX 3197xk83f5r 9 11 clinically clinically ADV 3197xk83f5r 9 12 used use VERB 3197xk83f5r 9 13 for for ADP 3197xk83f5r 9 14 treating treat VERB 3197xk83f5r 9 15 cancer cancer NOUN 3197xk83f5r 9 16 patients patient NOUN 3197xk83f5r 9 17 at at ADP 3197xk83f5r 9 18 two two NUM 3197xk83f5r 9 19 hospitals hospital NOUN 3197xk83f5r 9 20 in in ADP 3197xk83f5r 9 21 maryland maryland PROPN 3197xk83f5r 9 22 . . PUNCT