-
1
-
-
84875490185
-
Cancer genome landscapes
-
10.1126/science.1235122, 3749880, 23539594
-
Vogelstein B, Papadopoulos N, Velculescu VE, Zhou S, Diaz LA, Kinzler KW. Cancer genome landscapes. Science 2013, 339:1546-1558. 10.1126/science.1235122, 3749880, 23539594.
-
(2013)
Science
, vol.339
, pp. 1546-1558
-
-
Vogelstein, B.1
Papadopoulos, N.2
Velculescu, V.E.3
Zhou, S.4
Diaz, L.A.5
Kinzler, K.W.6
-
2
-
-
84881085966
-
A survey of tools for variant analysis of next-generation genome sequencing data
-
Pabinger S, Dander A, Fischer M, Snajder R, Sperk M, Efremova M, Krabichler B, Speicher MR, Zschocke J, Trajanoski Z. A survey of tools for variant analysis of next-generation genome sequencing data. Brief Bioinform 2013,
-
(2013)
Brief Bioinform
-
-
Pabinger, S.1
Dander, A.2
Fischer, M.3
Snajder, R.4
Sperk, M.5
Efremova, M.6
Krabichler, B.7
Speicher, M.R.8
Zschocke, J.9
Trajanoski, Z.10
-
3
-
-
0015043748
-
Mutation and cancer: statistical study of retinoblastoma
-
10.1073/pnas.68.4.820, 389051, 5279523
-
Knudson AG. Mutation and cancer: statistical study of retinoblastoma. Proc Natl Acad Sci USA 1971, 68:820-823. 10.1073/pnas.68.4.820, 389051, 5279523.
-
(1971)
Proc Natl Acad Sci USA
, vol.68
, pp. 820-823
-
-
Knudson, A.G.1
-
4
-
-
0017167185
-
The clonal evolution of tumor cell populations
-
10.1126/science.959840, 959840
-
Nowell PC. The clonal evolution of tumor cell populations. Science 1976, 194:23-28. 10.1126/science.959840, 959840.
-
(1976)
Science
, vol.194
, pp. 23-28
-
-
Nowell, P.C.1
-
5
-
-
71749103418
-
Mathematical modeling as a tool for planning anticancer therapy
-
10.1016/j.ejphar.2009.08.041, 2813310, 19825370
-
Swierniak A, Kimmel M, Smieja J. Mathematical modeling as a tool for planning anticancer therapy. Eur J Pharmacol 2009, 625:108-121. 10.1016/j.ejphar.2009.08.041, 2813310, 19825370.
-
(2009)
Eur J Pharmacol
, vol.625
, pp. 108-121
-
-
Swierniak, A.1
Kimmel, M.2
Smieja, J.3
-
6
-
-
76149128357
-
Nonlinear modelling of cancer: bridging the gap between cells and tumours
-
10.1088/0951-7715/23/1/R01, 2929802, 20808719
-
Lowengrub JS, Frieboes HB, Jin F, Chuang Y-L, Li X, Macklin P, Wise SM, Cristini V. Nonlinear modelling of cancer: bridging the gap between cells and tumours. Nonlinearity 2010, 23:R1-R9. 10.1088/0951-7715/23/1/R01, 2929802, 20808719.
-
(2010)
Nonlinearity
, vol.23
-
-
Lowengrub, J.S.1
Frieboes, H.B.2
Jin, F.3
Chuang, Y.-L.4
Li, X.5
Macklin, P.6
Wise, S.M.7
Cristini, V.8
-
7
-
-
33646517762
-
Modelling aspects of cancer dynamics: a review
-
Byrne HM, Alarcon T, Owen MR, Webb SD, Maini PK. Modelling aspects of cancer dynamics: a review. Philos Transact A Math Phys Eng Sci 2006, 364:1563-1578.
-
(2006)
Philos Transact A Math Phys Eng Sci
, vol.364
, pp. 1563-1578
-
-
Byrne, H.M.1
Alarcon, T.2
Owen, M.R.3
Webb, S.D.4
Maini, P.K.5
-
8
-
-
79960490878
-
Multiscale cancer modeling
-
10.1146/annurev-bioeng-071910-124729, 21529163
-
Deisboeck TS, Wang Z, Macklin P, Cristini V. Multiscale cancer modeling. Annu Rev Biomed Eng 2011, 13:127-155. 10.1146/annurev-bioeng-071910-124729, 21529163.
-
(2011)
Annu Rev Biomed Eng
, vol.13
, pp. 127-155
-
-
Deisboeck, T.S.1
Wang, Z.2
Macklin, P.3
Cristini, V.4
-
9
-
-
84880351048
-
Modeling tumor evolutionary dynamics
-
3572685, 23420281
-
Stransky B, de Souza SJ. Modeling tumor evolutionary dynamics. Front Physiol 2012, 3:480. 3572685, 23420281.
-
(2012)
Front Physiol
, vol.3
, pp. 480
-
-
Stransky, B.1
de Souza, S.J.2
-
10
-
-
84965191075
-
A hypothesis for the origin of cancer foci
-
10.1002/1097-0142(195109)4:5<916::AID-CNCR2820040504>3.0.CO;2-7, 14879355
-
Fisher JC, Hollomon JH. A hypothesis for the origin of cancer foci. Cancer 1951, 4:916-918. 10.1002/1097-0142(195109)4:5<916::AID-CNCR2820040504>3.0.CO;2-7, 14879355.
-
(1951)
Cancer
, vol.4
, pp. 916-918
-
-
Fisher, J.C.1
Hollomon, J.H.2
-
11
-
-
84908007911
-
A new theory on cancer-inducing mechanism
-
10.1038/bjc.1953.8, 2007872, 13051507
-
Nordling CO. A new theory on cancer-inducing mechanism. Br J Cancer 1953, 7:68-72. 10.1038/bjc.1953.8, 2007872, 13051507.
-
(1953)
Br J Cancer
, vol.7
, pp. 68-72
-
-
Nordling, C.O.1
-
12
-
-
84965187257
-
The age distribution of cancer and a multi-stage theory of carcinogenesis
-
10.1038/bjc.1954.1, 2007940, 13172380
-
Armitage P, Doll R. The age distribution of cancer and a multi-stage theory of carcinogenesis. Br J Cancer 1954, 8:1-12. 10.1038/bjc.1954.1, 2007940, 13172380.
-
(1954)
Br J Cancer
, vol.8
, pp. 1-12
-
-
Armitage, P.1
Doll, R.2
-
13
-
-
0014524550
-
The two "hit" and multiple "hit" theories of carcinogenesis
-
10.1038/bjc.1969.41, 2008269, 5788039
-
Ashley DJ. The two "hit" and multiple "hit" theories of carcinogenesis. Br J Cancer 1969, 23:313-328. 10.1038/bjc.1969.41, 2008269, 5788039.
-
(1969)
Br J Cancer
, vol.23
, pp. 313-328
-
-
Ashley, D.J.1
-
14
-
-
0019467329
-
Mutation and cancer: a model for human carcinogenesis
-
Moolgavkar SH, Knudson AG. Mutation and cancer: a model for human carcinogenesis. J Natl Cancer Inst 1981, 66:1037-1052.
-
(1981)
J Natl Cancer Inst
, vol.66
, pp. 1037-1052
-
-
Moolgavkar, S.H.1
Knudson, A.G.2
-
15
-
-
0037069469
-
Multistage carcinogenesis and the incidence of colorectal cancer
-
10.1073/pnas.222118199, 137549, 12415112
-
Luebeck EG, Moolgavkar SH. Multistage carcinogenesis and the incidence of colorectal cancer. Proc Natl Acad Sci U S A 2002, 99:15095-15100. 10.1073/pnas.222118199, 137549, 12415112.
-
(2002)
Proc Natl Acad Sci U S A
, vol.99
, pp. 15095-15100
-
-
Luebeck, E.G.1
Moolgavkar, S.H.2
-
16
-
-
0141988694
-
An evolutionary model of carcinogenesis
-
Gatenby RA, Vincent TL. An evolutionary model of carcinogenesis. Cancer Res 2003, 63:6212-6220.
-
(2003)
Cancer Res
, vol.63
, pp. 6212-6220
-
-
Gatenby, R.A.1
Vincent, T.L.2
-
17
-
-
0034614637
-
The hallmarks of cancer
-
10.1016/S0092-8674(00)81683-9, 10647931
-
Hanahan D, Weinberg RA. The hallmarks of cancer. Cell 2000, 100:57-70. 10.1016/S0092-8674(00)81683-9, 10647931.
-
(2000)
Cell
, vol.100
, pp. 57-70
-
-
Hanahan, D.1
Weinberg, R.A.2
-
18
-
-
0000128125
-
Models for the growth of a solid tumor by diffusion
-
Greenspan H. Models for the growth of a solid tumor by diffusion. Stud Appl Math 1972, 52:317-340.
-
(1972)
Stud Appl Math
, vol.52
, pp. 317-340
-
-
Greenspan, H.1
-
19
-
-
0000855290
-
A model for the growth of a solid tumor with non-uniform oxygen consumption
-
McElwain DLS, Ponzo PJ. A model for the growth of a solid tumor with non-uniform oxygen consumption. Math Biosci 1977, 35:267-279.
-
(1977)
Math Biosci
, vol.35
, pp. 267-279
-
-
McElwain, D.L.S.1
Ponzo, P.J.2
-
20
-
-
0017198676
-
On the growth and stability of cell cultures and solid tumors
-
10.1016/S0022-5193(76)80054-9, 1263527
-
Greenspan HP. On the growth and stability of cell cultures and solid tumors. J Theor Biol 1976, 56:229-242. 10.1016/S0022-5193(76)80054-9, 1263527.
-
(1976)
J Theor Biol
, vol.56
, pp. 229-242
-
-
Greenspan, H.P.1
-
21
-
-
0030431867
-
Modelling the role of cell-cell adhesion in the growth and development of carcinomas
-
Byrne HM, Chaplain MAJ. Modelling the role of cell-cell adhesion in the growth and development of carcinomas. Math Comput Model 1996, 24:1-17.
-
(1996)
Math Comput Model
, vol.24
, pp. 1-17
-
-
Byrne, H.M.1
Chaplain, M.A.J.2
-
22
-
-
0022253881
-
A mathematical model of tumour-induced capillary growth
-
10.1016/S0022-5193(85)80255-1, 2409405
-
Balding D, McElwain DL. A mathematical model of tumour-induced capillary growth. J Theor Biol 1985, 114:53-73. 10.1016/S0022-5193(85)80255-1, 2409405.
-
(1985)
J Theor Biol
, vol.114
, pp. 53-73
-
-
Balding, D.1
McElwain, D.L.2
-
23
-
-
0029294735
-
Mathematical models for tumour angiogenesis: numerical simulations and nonlinear wave solutions
-
Byrne HM, Chaplain MA. Mathematical models for tumour angiogenesis: numerical simulations and nonlinear wave solutions. Bull Math Biol 1995, 57:461-486.
-
(1995)
Bull Math Biol
, vol.57
, pp. 461-486
-
-
Byrne, H.M.1
Chaplain, M.A.2
-
24
-
-
0034470377
-
Mathematical modelling of angiogenesis
-
10.1023/A:1006446020377, 11245280
-
Chaplain MA. Mathematical modelling of angiogenesis. J Neurooncol 2000, 50:37-51. 10.1023/A:1006446020377, 11245280.
-
(2000)
J Neurooncol
, vol.50
, pp. 37-51
-
-
Chaplain, M.A.1
-
25
-
-
77957176863
-
A model mechanism for the chemotactic response of endothelial cells to tumour angiogenesis factor
-
10.1093/imammb/10.3.149, 8263357
-
Chaplain MA, Stuart AM. A model mechanism for the chemotactic response of endothelial cells to tumour angiogenesis factor. IMA J Math Appl Med Biol 1993, 10:149-168. 10.1093/imammb/10.3.149, 8263357.
-
(1993)
IMA J Math Appl Med Biol
, vol.10
, pp. 149-168
-
-
Chaplain, M.A.1
Stuart, A.M.2
-
26
-
-
0034845581
-
Mathematical modeling of capillary formation and development in tumor angiogenesis: penetration into the stroma
-
10.1006/bulm.2001.0240, 11565406
-
Levine HA, Pamuk S, Sleeman BD, Nilsen-Hamilton M. Mathematical modeling of capillary formation and development in tumor angiogenesis: penetration into the stroma. Bull Math Biol 2001, 63:801-863. 10.1006/bulm.2001.0240, 11565406.
-
(2001)
Bull Math Biol
, vol.63
, pp. 801-863
-
-
Levine, H.A.1
Pamuk, S.2
Sleeman, B.D.3
Nilsen-Hamilton, M.4
-
27
-
-
0032170064
-
Continuous and discrete mathematical models of tumor-induced angiogenesis
-
10.1006/bulm.1998.0042, 9739618
-
Anderson AR, Chaplain MA. Continuous and discrete mathematical models of tumor-induced angiogenesis. Bull Math Biol 1998, 60:857-899. 10.1006/bulm.1998.0042, 9739618.
-
(1998)
Bull Math Biol
, vol.60
, pp. 857-899
-
-
Anderson, A.R.1
Chaplain, M.A.2
-
28
-
-
16644400591
-
Mathematical modeling of tumor-induced angiogenesis
-
Mantzaris NV, Webb S, Othmer HG. Mathematical modeling of tumor-induced angiogenesis. J Math Biol 2004, 49:111-187.
-
(2004)
J Math Biol
, vol.49
, pp. 111-187
-
-
Mantzaris, N.V.1
Webb, S.2
Othmer, H.G.3
-
29
-
-
0036664608
-
Mathematical modelling of flow through vascular networks: implications for tumour-induced angiogenesis and chemotherapy strategies
-
10.1006/bulm.2002.0293, 12216417
-
McDougall SR, Anderson ARA, Chaplain MAJ, Sherratt JA. Mathematical modelling of flow through vascular networks: implications for tumour-induced angiogenesis and chemotherapy strategies. Bull Math Biol 2002, 64:673-702. 10.1006/bulm.2002.0293, 12216417.
-
(2002)
Bull Math Biol
, vol.64
, pp. 673-702
-
-
McDougall, S.R.1
Anderson, A.R.A.2
Chaplain, M.A.J.3
Sherratt, J.A.4
-
30
-
-
33748070513
-
Mathematical modelling of the influence of blood rheological properties upon adaptative tumour-induced angiogenesis
-
Stéphanou A, McDougall SR, Anderson ARA, Chaplain MAJ. Mathematical modelling of the influence of blood rheological properties upon adaptative tumour-induced angiogenesis. Math Comput Model 2006, 44:96-123.
-
(2006)
Math Comput Model
, vol.44
, pp. 96-123
-
-
Stéphanou, A.1
McDougall, S.R.2
Anderson, A.R.A.3
Chaplain, M.A.J.4
-
31
-
-
26844479092
-
Mathematical modelling of flow in 2D and 3D vascular networks: applications to anti-angiogenic and chemotherapeutic drug strategies
-
Stéphanou A, McDougall SR, Anderson ARA, Chaplain MAJ. Mathematical modelling of flow in 2D and 3D vascular networks: applications to anti-angiogenic and chemotherapeutic drug strategies. Math Comput Model 2005, 41:1137-1156.
-
(2005)
Math Comput Model
, vol.41
, pp. 1137-1156
-
-
Stéphanou, A.1
McDougall, S.R.2
Anderson, A.R.A.3
Chaplain, M.A.J.4
-
32
-
-
4444221249
-
Tumour eradication by antiangiogenic therapy: analysis and extensions of the model by Hahnfeldt et al. (1999)
-
10.1016/j.mbs.2004.06.003, 15363652
-
D' Onofrio A, Gandolfi A. Tumour eradication by antiangiogenic therapy: analysis and extensions of the model by Hahnfeldt et al. (1999). Math Biosci 2004, 191:159-184. 10.1016/j.mbs.2004.06.003, 15363652.
-
(2004)
Math Biosci
, vol.191
, pp. 159-184
-
-
D' Onofrio, A.1
Gandolfi, A.2
-
33
-
-
42749090784
-
Anti-angiogenic therapy in cancer treatment as an optimal control problem
-
Ledzewicz U, Schaettler H. Anti-angiogenic therapy in cancer treatment as an optimal control problem. SIAM J Control Optim 2007, 46(3):1052-1079.
-
(2007)
SIAM J Control Optim
, vol.46
, Issue.3
, pp. 1052-1079
-
-
Ledzewicz, U.1
Schaettler, H.2
-
34
-
-
0033213978
-
Tumor development under angiogenic signaling: a dynamical theory of tumor growth, treatment response, and postvascular dormancy
-
Hahnfeldt P, Panigrahy D, Folkman J, Hlatky L. Tumor development under angiogenic signaling: a dynamical theory of tumor growth, treatment response, and postvascular dormancy. Cancer Res 1999, 59:4770-4775.
-
(1999)
Cancer Res
, vol.59
, pp. 4770-4775
-
-
Hahnfeldt, P.1
Panigrahy, D.2
Folkman, J.3
Hlatky, L.4
-
35
-
-
33845243362
-
Cancer as an evolutionary and ecological process
-
10.1038/nrc2013, 17109012
-
Merlo LMF, Pepper JW, Reid BJ, Maley CC. Cancer as an evolutionary and ecological process. Nat Rev Cancer 2006, 6:924-935. 10.1038/nrc2013, 17109012.
-
(2006)
Nat Rev Cancer
, vol.6
, pp. 924-935
-
-
Merlo, L.M.F.1
Pepper, J.W.2
Reid, B.J.3
Maley, C.C.4
-
36
-
-
84856013431
-
Clonal evolution in cancer
-
10.1038/nature10762, 3367003, 22258609
-
Greaves M, Maley CC. Clonal evolution in cancer. Nature 2012, 481:306-313. 10.1038/nature10762, 3367003, 22258609.
-
(2012)
Nature
, vol.481
, pp. 306-313
-
-
Greaves, M.1
Maley, C.C.2
-
37
-
-
37249059785
-
The evolution of two mutations during clonal expansion
-
10.1534/genetics.107.078915, 2219486, 18073428
-
Haeno H, Iwasa Y, Michor F. The evolution of two mutations during clonal expansion. Genetics 2007, 177:2209-2221. 10.1534/genetics.107.078915, 2219486, 18073428.
-
(2007)
Genetics
, vol.177
, pp. 2209-2221
-
-
Haeno, H.1
Iwasa, Y.2
Michor, F.3
-
38
-
-
3242672209
-
Evolutionary dynamics of tumor suppressor gene inactivation
-
10.1073/pnas.0400747101, 489986, 15252197
-
Nowak MA, Michor F, Komarova NL, Iwasa Y. Evolutionary dynamics of tumor suppressor gene inactivation. Proc Natl Acad Sci U S A 2004, 101:10635-10638. 10.1073/pnas.0400747101, 489986, 15252197.
-
(2004)
Proc Natl Acad Sci U S A
, vol.101
, pp. 10635-10638
-
-
Nowak, M.A.1
Michor, F.2
Komarova, N.L.3
Iwasa, Y.4
-
39
-
-
80055103856
-
The temporal order of genetic and pathway alterations in tumorigenesis
-
10.1371/journal.pone.0027136, 3206070, 22069497
-
Gerstung M, Eriksson N, Lin J, Vogelstein B, Beerenwinkel N. The temporal order of genetic and pathway alterations in tumorigenesis. PLoS One 2011, 6:e27136. 10.1371/journal.pone.0027136, 3206070, 22069497.
-
(2011)
PLoS One
, vol.6
-
-
Gerstung, M.1
Eriksson, N.2
Lin, J.3
Vogelstein, B.4
Beerenwinkel, N.5
-
40
-
-
66149101375
-
A waiting time problem arising from the study of multi-stage carcinogenesis
-
Durrett R, Schmidt D, Schweinsberg J. A waiting time problem arising from the study of multi-stage carcinogenesis. Ann Appl Probab 2009, 19:676-718.
-
(2009)
Ann Appl Probab
, vol.19
, pp. 676-718
-
-
Durrett, R.1
Schmidt, D.2
Schweinsberg, J.3
-
41
-
-
67649798606
-
Evolutionary theory of cancer
-
10.1111/j.1749-6632.2009.04880.x, 19566702
-
Attolini CS-O, Michor F. Evolutionary theory of cancer. Ann N Y Acad Sci 2009, 1168:23-51. 10.1111/j.1749-6632.2009.04880.x, 19566702.
-
(2009)
Ann N Y Acad Sci
, vol.1168
, pp. 23-51
-
-
Attolini, C.S.-O.1
Michor, F.2
-
42
-
-
36949025507
-
Genetic progression and the waiting time to cancer
-
10.1371/journal.pcbi.0030225, 2065895, 17997597
-
Beerenwinkel N, Antal T, Dingli D, Traulsen A, Kinzler KW, Velculescu VE, Vogelstein B, Nowak MA. Genetic progression and the waiting time to cancer. PLoS Comput Biol 2007, 3:e225. 10.1371/journal.pcbi.0030225, 2065895, 17997597.
-
(2007)
PLoS Comput Biol
, vol.3
-
-
Beerenwinkel, N.1
Antal, T.2
Dingli, D.3
Traulsen, A.4
Kinzler, K.W.5
Velculescu, V.E.6
Vogelstein, B.7
Nowak, M.A.8
-
43
-
-
78249261016
-
Accumulation of driver and passenger mutations during tumor progression
-
10.1073/pnas.1010978107, 2972991, 20876136
-
Bozic I, Antal T, Ohtsuki H, Carter H, Kim D, Chen S, Karchin R, Kinzler KW, Vogelstein B, Nowak MA. Accumulation of driver and passenger mutations during tumor progression. Proc Natl Acad Sci U S A 2010, 107:18545-18550. 10.1073/pnas.1010978107, 2972991, 20876136.
-
(2010)
Proc Natl Acad Sci U S A
, vol.107
, pp. 18545-18550
-
-
Bozic, I.1
Antal, T.2
Ohtsuki, H.3
Carter, H.4
Kim, D.5
Chen, S.6
Karchin, R.7
Kinzler, K.W.8
Vogelstein, B.9
Nowak, M.A.10
-
44
-
-
48349122161
-
Invasion emerges from cancer cell adaptation to competitive microenvironments: quantitative predictions from multiscale mathematical models
-
10.1016/j.semcancer.2008.03.018, 3789515, 18524624
-
Quaranta V, Rejniak KA, Gerlee P, Anderson ARA. Invasion emerges from cancer cell adaptation to competitive microenvironments: quantitative predictions from multiscale mathematical models. Semin Cancer Biol 2008, 18:338-348. 10.1016/j.semcancer.2008.03.018, 3789515, 18524624.
-
(2008)
Semin Cancer Biol
, vol.18
, pp. 338-348
-
-
Quaranta, V.1
Rejniak, K.A.2
Gerlee, P.3
Anderson, A.R.A.4
-
45
-
-
80054018075
-
Evolution of tumor invasiveness: the adaptive tumor microenvironment landscape model
-
10.1158/0008-5472.CAN-11-0304, 3197231, 21859828
-
Lee H-O, Silva AS, Concilio S, Li Y-S, Slifker M, Gatenby RA, Cheng JD. Evolution of tumor invasiveness: the adaptive tumor microenvironment landscape model. Cancer Res 2011, 71:6327-6337. 10.1158/0008-5472.CAN-11-0304, 3197231, 21859828.
-
(2011)
Cancer Res
, vol.71
, pp. 6327-6337
-
-
Lee, H.-O.1
Silva, A.S.2
Concilio, S.3
Li, Y.-S.4
Slifker, M.5
Gatenby, R.A.6
Cheng, J.D.7
-
46
-
-
37549013776
-
A microenvironmental model of carcinogenesis
-
10.1038/nrc2255, 18059462
-
Gatenby RA, Gillies RJ. A microenvironmental model of carcinogenesis. Nat Rev Cancer 2008, 8:56-61. 10.1038/nrc2255, 18059462.
-
(2008)
Nat Rev Cancer
, vol.8
, pp. 56-61
-
-
Gatenby, R.A.1
Gillies, R.J.2
-
47
-
-
0018569942
-
A mathematic model for relating the drug sensitivity of tumors to their spontaneous mutation rate
-
Goldie JH, Coldman AJ. A mathematic model for relating the drug sensitivity of tumors to their spontaneous mutation rate. Cancer Treat Rep 1979, 63:1727-1733.
-
(1979)
Cancer Treat Rep
, vol.63
, pp. 1727-1733
-
-
Goldie, J.H.1
Coldman, A.J.2
-
48
-
-
33644871485
-
Evolution of resistance to cancer therapy
-
10.2174/138161206775201956, 16454743
-
Michor F, Nowak MA, Iwasa Y. Evolution of resistance to cancer therapy. Curr Pharm Des 2006, 12:261-271. 10.2174/138161206775201956, 16454743.
-
(2006)
Curr Pharm Des
, vol.12
, pp. 261-271
-
-
Michor, F.1
Nowak, M.A.2
Iwasa, Y.3
-
49
-
-
33644931688
-
Stochastic modeling of drug resistance in cancer
-
10.1016/j.jtbi.2005.08.003, 16194548
-
Komarova N. Stochastic modeling of drug resistance in cancer. J Theor Biol 2006, 239:351-366. 10.1016/j.jtbi.2005.08.003, 16194548.
-
(2006)
J Theor Biol
, vol.239
, pp. 351-366
-
-
Komarova, N.1
-
50
-
-
22144443475
-
Drug resistance in cancer: principles of emergence and prevention
-
10.1073/pnas.0501870102, 1172248, 15980154
-
Komarova NL, Wodarz D. Drug resistance in cancer: principles of emergence and prevention. Proc Natl Acad Sci U S A 2005, 102:9714-9719. 10.1073/pnas.0501870102, 1172248, 15980154.
-
(2005)
Proc Natl Acad Sci U S A
, vol.102
, pp. 9714-9719
-
-
Komarova, N.L.1
Wodarz, D.2
-
51
-
-
84859349606
-
Exploiting evolution to treat drug resistance: combination therapy and the double bind
-
10.1021/mp200458e, 3325107, 22369188
-
Basanta D, Gatenby RA, Anderson ARA. Exploiting evolution to treat drug resistance: combination therapy and the double bind. Mol Pharm 2012, 9:914-921. 10.1021/mp200458e, 3325107, 22369188.
-
(2012)
Mol Pharm
, vol.9
, pp. 914-921
-
-
Basanta, D.1
Gatenby, R.A.2
Anderson, A.R.A.3
-
52
-
-
57749097223
-
Analysis and optimization of drug resistant and phase-specific cancer chemotherapy models
-
Swierniak A, Smieja J. Analysis and optimization of drug resistant and phase-specific cancer chemotherapy models. Math Biosci Eng MBE 2005, 2:657-670.
-
(2005)
Math Biosci Eng MBE
, vol.2
, pp. 657-670
-
-
Swierniak, A.1
Smieja, J.2
-
53
-
-
0025375922
-
Mathematical models of gene amplification with applications to cellular drug resistance and tumorigenicity
-
1204089, 2379824
-
Kimmel M, Axelrod DE. Mathematical models of gene amplification with applications to cellular drug resistance and tumorigenicity. Genetics 1990, 125:633-644. 1204089, 2379824.
-
(1990)
Genetics
, vol.125
, pp. 633-644
-
-
Kimmel, M.1
Axelrod, D.E.2
-
54
-
-
0031673822
-
Infinite-dimensional model of evolution of drug resistance of cancer cells
-
Kimmel M, Swierniak A, Polanski A. Infinite-dimensional model of evolution of drug resistance of cancer cells. J Math Syst Estim Contr 1998, 8(1):1-16.
-
(1998)
J Math Syst Estim Contr
, vol.8
, Issue.1
, pp. 1-16
-
-
Kimmel, M.1
Swierniak, A.2
Polanski, A.3
-
55
-
-
33644514233
-
Different models of chemotherapy taking into account drug resistance stemming from gene amplification
-
13.3
-
Smieja J, Swierniak A. Different models of chemotherapy taking into account drug resistance stemming from gene amplification. Int. J. Appl Math Comp Sci 2003, 13.3:297-306.
-
(2003)
Int. J. Appl Math Comp Sci
, pp. 297-306
-
-
Smieja, J.1
Swierniak, A.2
-
56
-
-
0026722363
-
Drug resistance as a dynamic process in a model for multistep gene amplification under various levels of selection stringency
-
10.1007/BF00685599, 1394803
-
Harnevo LE, Agur Z. Drug resistance as a dynamic process in a model for multistep gene amplification under various levels of selection stringency. Cancer Chemother Pharmacol 1992, 30:469-476. 10.1007/BF00685599, 1394803.
-
(1992)
Cancer Chemother Pharmacol
, vol.30
, pp. 469-476
-
-
Harnevo, L.E.1
Agur, Z.2
-
57
-
-
73449145303
-
Evolution of resistance to targeted anti-cancer therapies during continuous and pulsed administration strategies
-
10.1371/journal.pcbi.1000557, 2766072, 19893626
-
Foo J, Michor F. Evolution of resistance to targeted anti-cancer therapies during continuous and pulsed administration strategies. PLoS Comput Biol 2009, 5:e1000557. 10.1371/journal.pcbi.1000557, 2766072, 19893626.
-
(2009)
PLoS Comput Biol
, vol.5
-
-
Foo, J.1
Michor, F.2
-
58
-
-
84863000299
-
The molecular evolution of acquired resistance to targeted EGFR blockade in colorectal cancers
-
3436069, 22722843
-
Diaz LA, Williams RT, Wu J, Kinde I, Hecht JR, Berlin J, Allen B, Bozic I, Reiter JG, Nowak MA, Kinzler KW, Oliner KS, Vogelstein B. The molecular evolution of acquired resistance to targeted EGFR blockade in colorectal cancers. Nature 2012, 486:537-540. 3436069, 22722843.
-
(2012)
Nature
, vol.486
, pp. 537-540
-
-
Diaz, L.A.1
Williams, R.T.2
Wu, J.3
Kinde, I.4
Hecht, J.R.5
Berlin, J.6
Allen, B.7
Bozic, I.8
Reiter, J.G.9
Nowak, M.A.10
Kinzler, K.W.11
Oliner, K.S.12
Vogelstein, B.13
-
59
-
-
84881483492
-
Evolutionary dynamics of cancer in response to targeted combination therapy
-
10.7554/eLife.00747, 3691570, 23805382
-
Bozic I, Reiter JG, Allen B, Antal T, Chatterjee K, Shah P, Moon YS, Yaqubie A, Kelly N, Le DT, Lipson EJ, Chapman PB, Diaz LA, Vogelstein B, Nowak MA. Evolutionary dynamics of cancer in response to targeted combination therapy. Elife 2013, 2:e00747. 10.7554/eLife.00747, 3691570, 23805382.
-
(2013)
Elife
, vol.2
-
-
Bozic, I.1
Reiter, J.G.2
Allen, B.3
Antal, T.4
Chatterjee, K.5
Shah, P.6
Moon, Y.S.7
Yaqubie, A.8
Kelly, N.9
Le, D.T.10
Lipson, E.J.11
Chapman, P.B.12
Diaz, L.A.13
Vogelstein, B.14
Nowak, M.A.15
-
60
-
-
9244222261
-
Targeted cancer therapy
-
10.1038/nature03095, 15549090
-
Sawyers C. Targeted cancer therapy. Nature 2004, 432:294-297. 10.1038/nature03095, 15549090.
-
(2004)
Nature
, vol.432
, pp. 294-297
-
-
Sawyers, C.1
-
61
-
-
0033687699
-
Optimal control applied to cell-cycle-specific cancer chemotherapy
-
Fister KR, Panetta JC. Optimal control applied to cell-cycle-specific cancer chemotherapy. SIAM J Appl Math 2000, 60:1059-1072.
-
(2000)
SIAM J Appl Math
, vol.60
, pp. 1059-1072
-
-
Fister, K.R.1
Panetta, J.C.2
-
62
-
-
33750078422
-
Modelling the response of vascular tumours to chemotherapy: a multiscale approach
-
Byrne HM, Owen MR, Alarcon T, Murphy J, Maini PK. Modelling the response of vascular tumours to chemotherapy: a multiscale approach. Math Models Methods Appl Sci 2006, 16:1219-1241.
-
(2006)
Math Models Methods Appl Sci
, vol.16
, pp. 1219-1241
-
-
Byrne, H.M.1
Owen, M.R.2
Alarcon, T.3
Murphy, J.4
Maini, P.K.5
-
63
-
-
31744436379
-
Mixed immunotherapy and chemotherapy of tumors: modeling, applications and biological interpretations
-
10.1016/j.jtbi.2005.06.037, 16153659
-
De Pillis LG, Gu W, Radunskaya AE. Mixed immunotherapy and chemotherapy of tumors: modeling, applications and biological interpretations. J Theor Biol 2006, 238:841-862. 10.1016/j.jtbi.2005.06.037, 16153659.
-
(2006)
J Theor Biol
, vol.238
, pp. 841-862
-
-
De Pillis, L.G.1
Gu, W.2
Radunskaya, A.E.3
-
65
-
-
0034104342
-
A mathematical model to study the effects of drug resistance and vasculature on the response of solid tumors to chemotherapy
-
10.1016/S0025-5564(99)00062-0, 10704636
-
Jackson TL, Byrne HM. A mathematical model to study the effects of drug resistance and vasculature on the response of solid tumors to chemotherapy. Math Biosci 2000, 164:17-38. 10.1016/S0025-5564(99)00062-0, 10704636.
-
(2000)
Math Biosci
, vol.164
, pp. 17-38
-
-
Jackson, T.L.1
Byrne, H.M.2
-
66
-
-
0028830672
-
A mathematical model of cycle-specific chemotherapy
-
Panetta JC, Adam J. A mathematical model of cycle-specific chemotherapy. Math Comput Model 1995, 22:67-82.
-
(1995)
Math Comput Model
, vol.22
, pp. 67-82
-
-
Panetta, J.C.1
Adam, J.2
-
67
-
-
84880794258
-
Towards predicting the response of a solid tumour to chemotherapy and radiotherapy treatments: clinical insights from a computational model
-
10.1371/journal.pcbi.1003120, 3708873, 23874170
-
Powathil GG, Adamson DJA, Chaplain MAJ. Towards predicting the response of a solid tumour to chemotherapy and radiotherapy treatments: clinical insights from a computational model. PLoS Comput Biol 2013, 9:e1003120. 10.1371/journal.pcbi.1003120, 3708873, 23874170.
-
(2013)
PLoS Comput Biol
, vol.9
-
-
Powathil, G.G.1
Adamson, D.J.A.2
Chaplain, M.A.J.3
-
68
-
-
34249060025
-
Mathematical modeling of brain tumors: effects of radiotherapy and chemotherapy
-
10.1088/0031-9155/52/11/023, 17505103
-
Powathil G, Kohandel M, Sivaloganathan S, Oza A, Milosevic M. Mathematical modeling of brain tumors: effects of radiotherapy and chemotherapy. Phys Med Biol 2007, 52:3291-3306. 10.1088/0031-9155/52/11/023, 17505103.
-
(2007)
Phys Med Biol
, vol.52
, pp. 3291-3306
-
-
Powathil, G.1
Kohandel, M.2
Sivaloganathan, S.3
Oza, A.4
Milosevic, M.5
-
69
-
-
84861994004
-
Modelling the effects of cell-cycle heterogeneity on the response of a solid tumour to chemotherapy: biological insights from a hybrid multiscale cellular automaton model
-
Powathil GG, Gordon KE, Hill LA, Chaplain MAJ. Modelling the effects of cell-cycle heterogeneity on the response of a solid tumour to chemotherapy: biological insights from a hybrid multiscale cellular automaton model. J Theor Biol 2012, 308:1-19.
-
(2012)
J Theor Biol
, vol.308
, pp. 1-19
-
-
Powathil, G.G.1
Gordon, K.E.2
Hill, L.A.3
Chaplain, M.A.J.4
-
70
-
-
0026606696
-
A theoretical analysis of interval drug dosing for cell-cycle-phase-specific drugs
-
10.1016/0025-5564(92)90053-Y, 1591451
-
Cojocaru L, Agur Z. A theoretical analysis of interval drug dosing for cell-cycle-phase-specific drugs. Math Biosci 1992, 109:85-97. 10.1016/0025-5564(92)90053-Y, 1591451.
-
(1992)
Math Biosci
, vol.109
, pp. 85-97
-
-
Cojocaru, L.1
Agur, Z.2
-
71
-
-
84861904282
-
Dynamics of targeted cancer therapy
-
10.1016/j.molmed.2012.04.006, 3372676, 22595628
-
Bozic I, Allen B, Nowak MA. Dynamics of targeted cancer therapy. Trends Mol Med 2012, 18:311-316. 10.1016/j.molmed.2012.04.006, 3372676, 22595628.
-
(2012)
Trends Mol Med
, vol.18
, pp. 311-316
-
-
Bozic, I.1
Allen, B.2
Nowak, M.A.3
-
72
-
-
70249113326
-
A pharmacologically based multiscale mathematical model of angiogenesis and its use in investigating the efficacy of a new cancer treatment strategy
-
10.1016/j.jtbi.2009.06.026, 19615383
-
Billy F, Ribba B, Saut O, Morre-Trouilhet H, Colin T, Bresch D, Boissel J-P, Grenier E, Flandrois J-P. A pharmacologically based multiscale mathematical model of angiogenesis and its use in investigating the efficacy of a new cancer treatment strategy. J Theor Biol 2009, 260:545-562. 10.1016/j.jtbi.2009.06.026, 19615383.
-
(2009)
J Theor Biol
, vol.260
, pp. 545-562
-
-
Billy, F.1
Ribba, B.2
Saut, O.3
Morre-Trouilhet, H.4
Colin, T.5
Bresch, D.6
Boissel, J.-P.7
Grenier, E.8
Flandrois, J.-P.9
-
74
-
-
25844507470
-
A generalized Luria-Delbrück model
-
10.1016/j.mbs.2005.07.003, 16137718
-
Dewanji A, Luebeck EG, Moolgavkar SH. A generalized Luria-Delbrück model. Math Biosci 2005, 197:140-152. 10.1016/j.mbs.2005.07.003, 16137718.
-
(2005)
Math Biosci
, vol.197
, pp. 140-152
-
-
Dewanji, A.1
Luebeck, E.G.2
Moolgavkar, S.H.3
-
75
-
-
37549047236
-
Improving alloreactive CTL immunotherapy for malignant gliomas using a simulation model of their interactive dynamics
-
Kronik N, Kogan Y, Vainstein V, Agur Z. Improving alloreactive CTL immunotherapy for malignant gliomas using a simulation model of their interactive dynamics. Cancer Immunol Immunother CII 2008, 57:425-439.
-
(2008)
Cancer Immunol Immunother CII
, vol.57
, pp. 425-439
-
-
Kronik, N.1
Kogan, Y.2
Vainstein, V.3
Agur, Z.4
-
76
-
-
35248819749
-
Optimal control of treatment in a mathematical model of chronic myelogenous leukemia
-
10.1016/j.mbs.2007.05.003, 17599363
-
Nanda S, Moore H, Lenhart S. Optimal control of treatment in a mathematical model of chronic myelogenous leukemia. Math Biosci 2007, 210:143-156. 10.1016/j.mbs.2007.05.003, 17599363.
-
(2007)
Math Biosci
, vol.210
, pp. 143-156
-
-
Nanda, S.1
Moore, H.2
Lenhart, S.3
-
77
-
-
0037444281
-
Validation and analysis of a mathematical model of a replication-competent oncolytic virus for cancer treatment: implications for virus design and delivery
-
Wein LM, Wu JT, Kirn DH. Validation and analysis of a mathematical model of a replication-competent oncolytic virus for cancer treatment: implications for virus design and delivery. Cancer Res 2003, 63:1317-1324.
-
(2003)
Cancer Res
, vol.63
, pp. 1317-1324
-
-
Wein, L.M.1
Wu, J.T.2
Kirn, D.H.3
-
78
-
-
65249107180
-
Mathematical modeling of herpes simplex virus distribution in solid tumors: implications for cancer gene therapy
-
Mok W, Stylianopoulos T, Boucher Y, Jain RK. Mathematical modeling of herpes simplex virus distribution in solid tumors: implications for cancer gene therapy. Clin Cancer Res Off J Am Assoc Cancer Res 2009, 15:2352-2360.
-
(2009)
Clin Cancer Res Off J Am Assoc Cancer Res
, vol.15
, pp. 2352-2360
-
-
Mok, W.1
Stylianopoulos, T.2
Boucher, Y.3
Jain, R.K.4
-
79
-
-
58349122448
-
A mathematical model for brain tumor response to radiation therapy
-
3784027, 18815786
-
Rockne R, Alvord EC, Rockhill JK, Swanson KR. A mathematical model for brain tumor response to radiation therapy. J Math Biol 2008, 58:561-578. 3784027, 18815786.
-
(2008)
J Math Biol
, vol.58
, pp. 561-578
-
-
Rockne, R.1
Alvord, E.C.2
Rockhill, J.K.3
Swanson, K.R.4
-
80
-
-
33846901555
-
A mathematical model of response of cells to radiation
-
Richard M, Kirkby KJ, Webb RP, Kirkby NF. A mathematical model of response of cells to radiation. Nucl Instruments Methods Phys Res Sect B Beam Interactions Mater Atoms 2007, 255:18-22.
-
(2007)
Nucl Instruments Methods Phys Res Sect B Beam Interactions Mater Atoms
, vol.255
, pp. 18-22
-
-
Richard, M.1
Kirkby, K.J.2
Webb, R.P.3
Kirkby, N.F.4
-
81
-
-
78349305177
-
A model of breast carcinogenesis and recurrence after radiotherapy
-
Enderling H, Anderson ARA, Chaplain MAJ. A model of breast carcinogenesis and recurrence after radiotherapy. PAMM 2007, 7:1121701-1121702.
-
(2007)
PAMM
, vol.7
, pp. 1121701-1121702
-
-
Enderling, H.1
Anderson, A.R.A.2
Chaplain, M.A.J.3
-
82
-
-
0021894588
-
Macrophage T lymphocyte interactions in the anti-tumor immune response: a mathematical mode
-
De Boer RJ, Hogeweg P, Dullens HF, De Weger RA, Den Otter W. Macrophage T lymphocyte interactions in the anti-tumor immune response: a mathematical mode. J Immunol Baltim Md 1950 1985, 134:2748-2758.
-
(1985)
J Immunol Baltim Md 1950
, vol.134
, pp. 2748-2758
-
-
De Boer, R.J.1
Hogeweg, P.2
Dullens, H.F.3
De Weger, R.A.4
Den Otter, W.5
-
83
-
-
1642348723
-
Mathematical modelling of the spatio-temporal response of cytotoxic T-lymphocytes to a solid tumour
-
Matzavinos A, Chaplain MAJ, Kuznetsov VA. Mathematical modelling of the spatio-temporal response of cytotoxic T-lymphocytes to a solid tumour. Math Med Biol J IMA 2004, 21:1-34.
-
(2004)
Math Med Biol J IMA
, vol.21
, pp. 1-34
-
-
Matzavinos, A.1
Chaplain, M.A.J.2
Kuznetsov, V.A.3
-
84
-
-
0032160863
-
Modeling immunotherapy of the tumor-immune interaction
-
10.1007/s002850050127, 9785481
-
Kirschner D, Panetta JC. Modeling immunotherapy of the tumor-immune interaction. J Math Biol 1998, 37:235-252. 10.1007/s002850050127, 9785481.
-
(1998)
J Math Biol
, vol.37
, pp. 235-252
-
-
Kirschner, D.1
Panetta, J.C.2
-
85
-
-
24744472075
-
A validated mathematical model of cell-mediated immune response to tumor growth
-
De Pillis LG, Radunskaya AE, Wiseman CL. A validated mathematical model of cell-mediated immune response to tumor growth. Cancer Res 2005, 65:7950-7958.
-
(2005)
Cancer Res
, vol.65
, pp. 7950-7958
-
-
De Pillis, L.G.1
Radunskaya, A.E.2
Wiseman, C.L.3
-
86
-
-
84874511871
-
BCG-mediated bladder cancer immunotherapy: identifying determinants of treatment response using a calibrated mathematical model
-
10.1371/journal.pone.0056327, 3581521, 23451041
-
Rentsch CA, Biot C, Gsponer JR, Bachmann A, Albert ML, Breban R. BCG-mediated bladder cancer immunotherapy: identifying determinants of treatment response using a calibrated mathematical model. PLoS One 2013, 8:e56327. 10.1371/journal.pone.0056327, 3581521, 23451041.
-
(2013)
PLoS One
, vol.8
-
-
Rentsch, C.A.1
Biot, C.2
Gsponer, J.R.3
Bachmann, A.4
Albert, M.L.5
Breban, R.6
-
87
-
-
84879501415
-
A numerical study of a mathematical model of pulsed immunotherapy for superficial bladder cancer
-
Wei H-C. A numerical study of a mathematical model of pulsed immunotherapy for superficial bladder cancer. Jpn J Ind Appl Math 2013, 30:441-452.
-
(2013)
Jpn J Ind Appl Math
, vol.30
, pp. 441-452
-
-
Wei, H.-C.1
-
88
-
-
84858123167
-
Qualitative and computational analysis of a mathematical model for tumor-immune interactions
-
Article ID 475720
-
Rihan FA, Safan M, Abdeen MA, Abdel Rahman D. Qualitative and computational analysis of a mathematical model for tumor-immune interactions. J Appl Math 2012, Article ID 475720:19.
-
(2012)
J Appl Math
, pp. 19
-
-
Rihan, F.A.1
Safan, M.2
Abdeen, M.A.3
Abdel Rahman, D.4
|