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American Mathematical Monthly
Volumn 121, Issue 9, 2014, Pages 840-856
Mathematical oncology: Using mathematics to enable cancer discoveries
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EID: 84948658352     PISSN: 00029890     EISSN: 19300972     Source Type: Journal    
DOI: 10.4169/amer.math.monthly.121.09.840     Document Type: Article
Times cited : (31)
References (77)
  • 2
    • 0032170064 scopus 로고    scopus 로고
    • Continuous and discrete mathematical models of tumor-induced angiogenesis
    • A. R. A. Anderson, M. A. J. Chaplain, Continuous and discrete mathematical models of tumor-induced angiogenesis, Bull. Math. Biol. 60 (1998) 857-900, http://dx.doi.org/10.1006/bulm.1998. 0042.
    • (1998) Bull. Math. Biol. , vol.60 , pp. 857-900
    • Anderson, A.R.A.1    Chaplain, M.A.J.2
  • 3
    • 0001257097 scopus 로고    scopus 로고
    • A mathematical model for capillary network formation in the absence of endothelial cell proliferation
    • -, A mathematical model for capillary network formation in the absence of endothelial cell proliferation, Appl. Math. Lett. 11 (1998) 109-114, http://dx.doi.org/10.1016/s0893-9659(98)00041-x.
    • (1998) Appl. Math. Lett. , vol.11 , pp. 109-114
    • Anderson, A.R.A.1    Chaplain, M.A.J.2
  • 4
    • 0017370183 scopus 로고
    • Migration and proliferation of endothelial cells in preformed and newly-formed blood vessels during tumor angiogenesis
    • D. H. Ausprunk, J. Folkman, Migration and proliferation of endothelial cells in preformed and newly-formed blood vessels during tumor angiogenesis, Microvasc. Res. 14 (1977) 53-65.
    • (1977) Microvasc. Res. , vol.14 , pp. 53-65
    • Ausprunk, D.H.1    Folkman, J.2
  • 5
    • 0022253881 scopus 로고
    • A mathematical model of tumor-induced capillary growth
    • D. Balding, D. L. S. McElwain, A mathematical model of tumor-induced capillary growth, J. Theor. Biol. 114 (1985)53-73, http://dx.doi.org/10.1016/s0022-5193(85)80255-l.
    • (1985) J. Theor. Biol. , vol.114 , pp. 53-73
    • Balding, D.1    McElwain, D.L.S.2
  • 9
    • 34247569970 scopus 로고    scopus 로고
    • A cell-based model exhibiting branching and anastomosis during tumor-induced angiogenesis
    • A. Bauer, T. Jackson, Y. Jiang, A cell-based model exhibiting branching and anastomosis during tumor-induced angiogenesis, Biophysical Journal 92 (2007) 3105-3121, http://dx.doi.org/10.1529/biophysj.106.101501.
    • (2007) Biophysical Journal , vol.92 , pp. 3105-3121
    • Bauer, A.1    Jackson, T.2    Jiang, Y.3
  • 10
    • 68249103288 scopus 로고    scopus 로고
    • Topography of extracellular matrix mediates vascular morphogenesis and migration speeds
    • -, Topography of extracellular matrix mediates vascular morphogenesis and migration speeds, PLoS 5 no. 7 (2009), http://dx.doi.org/10.1371/journal.pebi. 1000445.
    • (2009) PLoS , vol.5 , Issue.7
    • Bauer, A.1    Jackson, T.2    Jiang, Y.3
  • 11
    • 0008305465 scopus 로고    scopus 로고
    • Explicit solutions of a simplified model of capillary sprout growth during tumor angiogenesis
    • H. M. Byrne, M. A. J. Chaplain, Explicit solutions of a simplified model of capillary sprout growth during tumor angiogenesis, Appl. Math. Lett. 9 (1996) 69-74, http://dx.doi.org/10.1016/0893-9659(95)00105-0.
    • (1996) Appl. Math. Lett. , vol.9 , pp. 69-74
    • Byrne, H.M.1    Chaplain, M.A.J.2
  • 12
    • 0029294735 scopus 로고
    • Mathematical models for tumour angiogenesis: Numerical simulations and nonlinear wave solutions
    • -, Mathematical models for tumour angiogenesis: Numerical simulations and nonlinear wave solutions, Bull. Math. Biol. 57 (1995) 461-486, http://dx.doi.org/10.1016/S0092-8240(05)81778-1.
    • (1995) Bull. Math. Biol. , vol.57 , pp. 461-486
    • Byrne, H.M.1    Chaplain, M.A.J.2
  • 13
    • 79952370202 scopus 로고    scopus 로고
    • The cancer stem cell: Premises, promises and challenges
    • H. Clevers, The cancer stem cell: premises, promises and challenges, Nature Medicine (2011) 313-319, http://dx.doi.org/10.1038/nm.2304.
    • (2011) Nature Medicine , pp. 313-319
    • Clevers, H.1
  • 14
    • 84954559330 scopus 로고    scopus 로고
    • Using a patient-specific mathematical model and a multiobjective IMRT optimization algorithm in treatment planning for human glioblastoma
    • D. Corwin, C. H. Holdsworth, R. Stewart, M. Philips, R. Rockne, K. Swanson, Using a patient-specific mathematical model and a multiobjective IMRT optimization algorithm in treatment planning for human glioblastoma. Int. J. Rad. Oncol. Biol. Phys. 87 (2013) S257-S257, http://dx.doi.org/10.1016/j.ijrobp.2013.06.669.
    • (2013) Int. J. Rad. Oncol. Biol. Phys. , vol.87 , pp. S257-S257
    • Corwin, D.1    Holdsworth, C.H.2    Stewart, R.3    Philips, M.4    Rockne, R.5    Swanson, K.6
  • 15
    • 65249103986 scopus 로고    scopus 로고
    • Topical bevacizumab in the treatment of corneal neovascularization
    • M. H. Dastierdi, K. M. Al-Arfai, N. Nallasamy, Topical bevacizumab in the treatment of corneal neovascularization, Arch Ophthalmolr 127 (2009) 381-389, http://dx.doi.org/10.1001/archophthalmol.2009.18.
    • (2009) Arch Ophthalmolr , vol.127 , pp. 381-389
    • Dastierdi, M.H.1    Al-Arfai, K.M.2    Nallasamy, N.3
  • 17
    • 84954527031 scopus 로고    scopus 로고
    • Spatial moran models I. Stochastic tunneling in the neutral case
    • forthcoming
    • D. Wodarz, N. L. Komarova, Spatial moran models I. stochastic tunneling in the neutral case, Ann. Appl. Probab. (forthcoming).
    • Ann. Appl. Probab.
    • Wodarz, D.1    Komarova, N.L.2
  • 18
    • 73649112748 scopus 로고    scopus 로고
    • Contrasting actions of selective inhibitors of angiopoietin-1 and angiopoietin-2 on the normalization of tumor blood vessels
    • B. L. Falcon, H. Hashizume, P. Koumoutsakos, J. Chou, Contrasting actions of selective inhibitors of angiopoietin-1 and angiopoietin-2 on the normalization of tumor blood vessels, Am. J. Pathol. 175 (2009) 2159-2170, http://dx.doi.org/10.2353/aj path.2009.090391.
    • (2009) Am. J. Pathol. , vol.175 , pp. 2159-2170
    • Falcon, B.L.1    Hashizume, H.2    Koumoutsakos, P.3    Chou, J.4
  • 19
    • 34547807824 scopus 로고    scopus 로고
    • Computer simulation of glioma growth and morphology
    • H. Frieboes, J. S. Lowengrub, S. Wise, X. Zheng, Computer simulation of glioma growth and morphology, Neuroimage 37 (2007) S59-S70, http://dx.doi.Org/10.1016/j.neuroimage.2007. 03.008.
    • (2007) Neuroimage , vol.37 , pp. S59-S70
    • Frieboes, H.1    Lowengrub, J.S.2    Wise, S.3    Zheng, X.4
  • 20
    • 33846071934 scopus 로고    scopus 로고
    • The evolution of mathematical modeling of glioma proliferation and invasion
    • H. L. Harpold, E. C. Alvord, Jr., K. R. Swanson, The evolution of mathematical modeling of glioma proliferation and invasion, J. Neuropalhol Exp. Neurol 66 (2007) 1-9, http://dx.doi.org/10.1097/nen.0b013e31802d9000.
    • (2007) J. Neuropalhol Exp. Neurol , vol.66 , pp. 1-9
    • Harpold, H.L.1    Alvord, E.C.2    Swanson, K.R.3
  • 21
    • 84888345632 scopus 로고    scopus 로고
    • Modeling tumor-associated edema in gliomas during anti-angiogenic therapy and its impact on imageable tumor
    • A. Hawkins-Daarud, R. C. Rockne, A. R. Anderson, K. R. Swanson, Modeling tumor-associated edema in gliomas during anti-angiogenic therapy and its impact on imageable tumor, Front Oncol 3 (2013), http://dx.doi.org/10.3389/fone.2013.00066.
    • (2013) Front Oncol , vol.3
    • Hawkins-Daarud, A.1    Rockne, R.C.2    Anderson, A.R.3    Swanson, K.R.4
  • 22
    • 84871230919 scopus 로고    scopus 로고
    • Adaptive IMRT using a multiobjective evolutionary algorithm integrated with a diffusion-invasion model of glioblastoma
    • C. H. Holdsworth, D. Corwin, R. D. Stewart, R. Rockne, A. D. Trister, K. R. Swanson, M. Phillips, Adaptive IMRT using a multiobjective evolutionary algorithm integrated with a diffusion-invasion model of glioblastoma, Phys Med Biol 57 (2012) 8271-8283, http://dx.doi.org/10.1088/0031-9155/57/24/8271.
    • (2012) Phys Med Biol , vol.57 , pp. 8271-8283
    • Holdsworth, C.H.1    Corwin, D.2    Stewart, R.D.3    Rockne, R.4    Trister, A.D.5    Swanson, K.R.6    Phillips, M.7
  • 23
    • 77952671503 scopus 로고    scopus 로고
    • A cell-based model of endothelial cell elongation, proliferation and maturation during corneal angiogenesis
    • T. L. Jackson, X. Zheng, A cell-based model of endothelial cell elongation, proliferation and maturation during corneal angiogenesis, Bull. Math. Biol. 72 (2010) 830-868, http://dx.doi.org/10.1007/S11538-009-9471-1.
    • (2010) Bull. Math. Biol. , vol.72 , pp. 830-868
    • Jackson, T.L.1    Zheng, X.2
  • 24
    • 84954541502 scopus 로고    scopus 로고
    • A hybrid mathematical model of endothelial cell elongation, proliferation and maturation during corneal angiogenesis
    • -, A hybrid mathematical model of endothelial cell elongation, proliferation and maturation during corneal angiogenesis, DCDS-B 18 (2013) 1109-1154.
    • (2013) DCDS-B , vol.18 , pp. 1109-1154
    • Jackson, T.L.1    Zheng, X.2
  • 25
    • 38049087140 scopus 로고    scopus 로고
    • Modeling the VEGF-Bcl-2-CXCL8 pathway in intratumoral angiogenesis
    • H. V. Jain, J. E. Nor, T. L. Jackson, Modeling the VEGF-Bcl-2-CXCL8 pathway in intratumoral angiogenesis, Bull. Math. Biol. 70 (2008) 89-117, http://dx.doi.org/10.1007/sll538-007-9242-9.
    • (2008) Bull. Math. Biol. , vol.70 , pp. 89-117
    • Jain, H.V.1    Nor, J.E.2    Jackson, T.L.3
  • 26
    • 36348978647 scopus 로고    scopus 로고
    • Selective pressures for and against genetic instability in cancer: A time-dependent problem
    • N.L. Komarova, A. V. Sadovsky, F. Y. Wan, Selective pressures for and against genetic instability in cancer: A time-dependent problem, J of The Royal Society Interface 5 (2008) 105-121, http://dx.doi.org/10.1098/rsif.2007.1054.
    • (2008) J of the Royal Society Interface , vol.5 , pp. 105-121
    • Komarova, N.L.1    Sadovsky, A.V.2    Wan, F.Y.3
  • 27
    • 33748696982 scopus 로고    scopus 로고
    • Spatial stochastic models for cancer initiation and progression
    • N. L. Komarova, Spatial stochastic models for cancer initiation and progression, Bull. Math. Bio. 68 (2006) 1573-1599, http://dx.doi.org/10.1007/sll538-005-9046-8.
    • (2006) Bull. Math. Bio. , vol.68 , pp. 1573-1599
    • Komarova, N.L.1
  • 28
    • 35348833450 scopus 로고    scopus 로고
    • Stochastic modeling of loss-and gain-of-function mutations in cancer
    • -, Stochastic modeling of loss-and gain-of-function mutations in cancer, Math. Models Methods Appl. Sci. 17(2007) 1647-1673, http://dx.doi.org/10.1142/s021820250700242x.
    • (2007) Math. Models Methods Appl. Sci. , vol.17 , pp. 1647-1673
    • Komarova, N.L.1
  • 29
    • 0037974538 scopus 로고    scopus 로고
    • Dynamics of genetic instability in sporadic and familial colorectal cancer
    • N. L. Komarova, C. Lengauer, B. Vogelstein, M. A. Nowak, Dynamics of genetic instability in sporadic and familial colorectal cancer, Cancer Biology & Therapy 1 (2002) 685-692, http://dx.doi.org/10.4161/cbt.321.
    • (2002) Cancer Biology & Therapy , vol.1 , pp. 685-692
    • Komarova, N.L.1    Lengauer, C.2    Vogelstein, B.3    Nowak, M.A.4
  • 30
    • 0003291373 scopus 로고    scopus 로고
    • Mutation-selection networks of cancer initiation: Tumor suppressor genes and chromosomal instability
    • N. L. Komarova, A. Sengupta, M. A. Nowak, Mutation-selection networks of cancer initiation: Tumor suppressor genes and chromosomal instability, J. Theoretical Biol. 223 (2003) 433-450, http://dx.doi.org/10.1016/s0022-5193(03)00120-6.
    • (2003) J. Theoretical Biol. , vol.223 , pp. 433-450
    • Komarova, N.L.1    Sengupta, A.2    Nowak, M.A.3
  • 31
    • 84901450967 scopus 로고    scopus 로고
    • Complex role of space in the crossing of fitness valleys by asexual populations
    • N. L. Komarova, L. Shahriyari, D. Wodarz, Complex role of space in the crossing of fitness valleys by asexual populations, J. Roy. Soc. Interface 95 (2014) 20140014, http://dx.doi.org/10.1098/rsif.2014.0014.
    • (2014) J. Roy. Soc. Interface , vol.95 , pp. 20140014
    • Komarova, N.L.1    Shahriyari, L.2    Wodarz, D.3
  • 32
    • 17144366931 scopus 로고    scopus 로고
    • Initiation of colorectal cancer: Where do the two hits hit?
    • N. L. Komarova, L. Wang, Initiation of colorectal cancer: Where do the two hits hit?, Cell Cycle 3 (2004) 1558-1565, http://dx.doi.org/10.4161/cc3.12.1186.
    • (2004) Cell Cycle , vol.3 , pp. 1558-1565
    • Komarova, N.L.1    Wang, L.2
  • 33
    • 2342539600 scopus 로고    scopus 로고
    • The optimal rate of chromosome loss for the inactivation of tumor suppressor genes in cancer
    • N. L. Komarova, D. Wodarz, The optimal rate of chromosome loss for the inactivation of tumor suppressor genes in cancer, Proc. Nat. Acad. Sci. USA 101 (2004) 7017-7021, http://dx.doi.org/10. 1073/pnas.0401943101.
    • (2004) Proc. Nat. Acad. Sci. USA , vol.101 , pp. 7017-7021
    • Komarova, N.L.1    Wodarz, D.2
  • 34
    • 84967458843 scopus 로고    scopus 로고
    • Genetic and epigenetic pathways to colon cancer relating experimental evidence with modeling
    • Springer, Birkhiiuser, Boston
    • N. L. Komarova, D. Wodarz, C. R. Boland, A. Goel, Genetic and epigenetic pathways to colon cancer relating experimental evidence with modeling, in Selected Topics in Cancer Modeling. Springer, Birkhiiuser, Boston, 2008.
    • (2008) Selected Topics in Cancer Modeling
    • Komarova, N.L.1    Wodarz, D.2    Boland, C.R.3    Goel, A.4
  • 35
    • 84966166281 scopus 로고
    • Dynamics of tumour growth
    • K. A. Laird, Dynamics of tumour growth, Brit. J. Cancer 18 (1964) 490.
    • (1964) Brit. J. Cancer , vol.18 , pp. 490
    • Laird, K.A.1
  • 36
    • 77952673212 scopus 로고    scopus 로고
    • Angiogenesis-A biochemial/mathematical perspective
    • Edited by A. Friedman no. 1872. Lecture Notes in Mathematics. Springer
    • H. A. Levine, M. Nilsen-Hamilton, Angiogenesis-A biochemial/mathematical perspective, in Tutorials in Mathematical Biosciences III. Edited by A. Friedman, no. 1872. Lecture Notes in Mathematics. Springer, 2006.
    • (2006) Tutorials in Mathematical Biosciences III
    • Levine, H.A.1    Nilsen-Hamilton, M.2
  • 37
    • 0034845581 scopus 로고    scopus 로고
    • Mathematical modeling of capillary formation and development in tumor angiogenesis: Penetration into the stroma
    • H. A. Levine, S. Pamuk, B. D. Sleeman, M. Nilsen-Hamilton, Mathematical modeling of capillary formation and development in tumor angiogenesis: penetration into the stroma, Bull. Math. Biol 63 (2001) 801-863, http://dx.doi.org/10.1006/bulm.2001.0240.
    • (2001) Bull. Math. Biol , vol.63 , pp. 801-863
    • Levine, H.A.1    Pamuk, S.2    Sleeman, B.D.3    Nilsen-Hamilton, M.4
  • 38
    • 0035287283 scopus 로고    scopus 로고
    • Mathematical modeling of the onset of capillary formation initiating angiogenesis
    • H. A. Levine, B. D. Sleeman, M. Nilsen-Hamilton, Mathematical modeling of the onset of capillary formation initiating angiogenesis, J. Math. Biol. 42 (2001) 195-238, http://dx.doi.org/10.1007/3002850000037.
    • (2001) J. Math. Biol. , vol.42 , pp. 195-238
    • Levine, H.A.1    Sleeman, B.D.2    Nilsen-Hamilton, M.3
  • 39
    • 76749097152 scopus 로고    scopus 로고
    • Phase 1 study of combination treatment with PTK 787/ZK 222584 and cetuximab for patients with advanced solid tumors: Safety, pharmacokinetics, pharmacodynamics analysis
    • M. H. G. Longenberg, P. O. Witteveen, N. A. G. Lankheet, Phase 1 study of combination treatment with PTK 787/ZK 222584 and cetuximab for patients with advanced solid tumors: safety, pharmacokinetics, pharmacodynamics analysis, Neoplasia 12 (2010) 206-213.
    • (2010) Neoplasia , vol.12 , pp. 206-213
    • Longenberg, M.H.G.1    Witteveen, P.O.2    Lankheet, N.A.G.3
  • 40
    • 0037069469 scopus 로고    scopus 로고
    • Multistage carcinogenesis and the incidence of colorectal cancer
    • G. E. Luebeck, S. J. Moolgavkar, Multistage carcinogenesis and the incidence of colorectal cancer, Proc. Nat. Acad. Sci. USA 99 (2002) 15095-15100, http://dx.doi.org/10.1073/pnas.222118199.
    • (2002) Proc. Nat. Acad. Sci. USA , vol.99 , pp. 15095-15100
    • Luebeck, G.E.1    Moolgavkar, S.J.2
  • 41
    • 16644400591 scopus 로고    scopus 로고
    • Mathematical modeling of tumor-induced angiogenesis
    • N. Mantzaris, S. Webb, H. G. Othmer, Mathematical modeling of tumor-induced angiogenesis, J. Math Biol. 49 (2004) 111-187, http://dx.doi. org/10.1007/s00285-003-0262-2.
    • (2004) J. Math Biol. , vol.49 , pp. 111-187
    • Mantzaris, N.1    Webb, S.2    Othmer, H.G.3
  • 42
    • 55849135224 scopus 로고    scopus 로고
    • Age-specific incidence of cancer: Phases, transitions, and biological implications
    • R. Meza, J. Jeon, S. H. Moolgavkar, G. E. Luebeck, Age-specific incidence of cancer: Phases, transitions, and biological implications, PNAS 105 (2008) 16284-16289, http://dx.doi.org/10.1073/pnas. 0801151105.
    • (2008) PNAS , vol.105 , pp. 16284-16289
    • Meza, R.1    Jeon, J.2    Moolgavkar, S.H.3    Luebeck, G.E.4
  • 46
    • 0035266313 scopus 로고    scopus 로고
    • Up-regulation of bcl-2 in microvascular endothelial cells enhances intra-tumoral angiogenesis and accelerates tumor growth
    • J. E. Nor, J. Christensen, J. Liu, Up-regulation of bcl-2 in microvascular endothelial cells enhances intra-tumoral angiogenesis and accelerates tumor growth, Cancer Res. 61 (2001) 2183-2188.
    • (2001) Cancer Res. , vol.61 , pp. 2183-2188
    • Nor, J.E.1    Christensen, J.2    Liu, J.3
  • 47
  • 48
    • 0141483064 scopus 로고    scopus 로고
    • Normal and leukemic hematopoiesis: Are leukemias a stem cell disorder or a reacquisition of stem cell characteristics?
    • E. Passegué, C. H. M. Jamieson, L. E. Ailles, I. L. Weissman, Normal and leukemic hematopoiesis: Are leukemias a stem cell disorder or a reacquisition of stem cell characteristics?, Proc. Nat. Acad. Sci. USA 100(2003) 11842-11849.
    • (2003) Proc. Nat. Acad. Sci. USA , vol.100 , pp. 11842-11849
    • Passegué, E.1    Jamieson, C.H.M.2    Ailles, L.E.3    Weissman, I.L.4
  • 49
    • 7444258529 scopus 로고    scopus 로고
    • Lattice and non-lattice models of tumour angiogenesis
    • M.J. Plank, B.D. Sleeman, Lattice and non-lattice models of tumour angiogenesis, Bull. Math. Biol. 66 (2004) 1785-1819, http://dx.doi.org/10.1016/j.bulm. 2004.04.001.
    • (2004) Bull. Math. Biol. , vol.66 , pp. 1785-1819
    • Plank, M.J.1    Sleeman, B.D.2
  • 50
    • 0042863949 scopus 로고    scopus 로고
    • A reinforced random walk model of tumor angiogenesis and anti-angiogenesis strategies
    • -, A reinforced random walk model of tumor angiogenesis and anti-angiogenesis strategies, IMA J. Math. Med. Biol. 20 (2003) 135-181, http://dx.doi.org/10.1093/imammb20.2.135.
    • (2003) IMA J. Math. Med. Biol. , vol.20 , pp. 135-181
    • Plank, M.J.1    Sleeman, B.D.2
  • 51
    • 3042713269 scopus 로고    scopus 로고
    • A mathematical model of tumour angiogenesis, regulated by vascular endothelial growth factor and the angiopoietins
    • M.J. Plank, B.D. Sleeman, P. F. Jones, A mathematical model of tumour angiogenesis, regulated by vascular endothelial growth factor and the angiopoietins, J. Theor. Biol. 229 (2004) 435-454, http://dx.doi.org/10.1016/j.jtbi.2004.04.012.
    • (2004) J. Theor. Biol. , vol.229 , pp. 435-454
    • Plank, M.J.1    Sleeman, B.D.2    Jones, P.F.3
  • 52
    • 79551558096 scopus 로고    scopus 로고
    • Response assessment in neuro-oncology
    • E. C. Quant, P. Y. Wen, Response assessment in neuro-oncology, Curr Oncol Rep 13 (2010) 50-56, http://dx.doi.org/10.1007/sll912-010-0143-y.
    • (2010) Curr Oncol Rep , vol.13 , pp. 50-56
    • Quant, E.C.1    Wen, P.Y.2
  • 53
    • 4744371407 scopus 로고    scopus 로고
    • Intracellular delivery of carbohydrates into mammalian cells through swelling-activated pathways
    • R. Reuss, J. Ludwig, R. Shirakashi, F. Ehrhart, Intracellular delivery of carbohydrates into mammalian cells through swelling-activated pathways, J, Membrane Biol. 200 (2004) 67-81, http://dx.doi.org/10.1007/s00232-004-0694-7.
    • (2004) J. Membrane Biol. , vol.200 , pp. 67-81
    • Reuss, R.1    Ludwig, J.2    Shirakashi, R.3    Ehrhart, F.4
  • 55
    • 82755186509 scopus 로고    scopus 로고
    • Evolutionary dynamics of feedback escape and the development of stem-cell-driven cancers
    • I. A. Rodriguez-Brenes, N. L. Komarova, D. Wodarz, Evolutionary dynamics of feedback escape and the development of stem-cell-driven cancers, Proc. Nat. Acad. Sci. USA 108 (2011) 18983-18988, http://dx.doi.org/10.1073/pnas.1107621108.
    • (2011) Proc. Nat. Acad. Sci. USA , vol.108 , pp. 18983-18988
    • Rodriguez-Brenes, I.A.1    Komarova, N.L.2    Wodarz, D.3
  • 57
    • 29144464278 scopus 로고    scopus 로고
    • Autocrine EGF receptor activation mediates endothelial cell migration and vascular morphogenesis induced by VEGF under interstitial flow
    • C. E. Semino, R. D. Kamm, D. A. Lauffenburger, Autocrine EGF receptor activation mediates endothelial cell migration and vascular morphogenesis induced by VEGF under interstitial flow, Exp. Cell Res. 312 (2006) 289-298, http://dx.doi.org/10.1016/j.yexcr. 2005.10.029.
    • (2006) Exp. Cell Res. , vol.312 , pp. 289-298
    • Semino, C.E.1    Kamm, R.D.2    Lauffenburger, D.A.3
  • 58
    • 0014892059 scopus 로고
    • A computer model for tumor growth and chemotherapy, and its application to L1210 leukemia treated with cytosine arabinoside (NSC-63878)
    • S. E. Shackney, A computer model for tumor growth and chemotherapy, and its application to L1210 leukemia treated with cytosine arabinoside (NSC-63878), Cancer Chemotherapy Reports 54 (1970) 399.
    • (1970) Cancer Chemotherapy Reports , vol.54 , pp. 399
    • Shackney, S.E.1
  • 59
    • 84897389748 scopus 로고    scopus 로고
    • Symmetric vs asymmetric stem cell divisions: An adaptation against cancer?
    • L. Shahriyarii, N. L. Komarova, Symmetric vs asymmetric stem cell divisions: an adaptation against cancer?, PLoS One 8 (2013) e76195, http://dx.doi.org/10.1371/journal.pone. 0076195.
    • (2013) PLoS One , vol.8 , pp. e76195
    • Shahriyarii, L.1    Komarova, N.L.2
  • 60
    • 0021717225 scopus 로고
    • Mechanisms of neovascularization. Vascular sprouting can occur without proliferation of endothelial cells
    • M. M. Sholley, G. P. Ferguson, H. R. Seibel, J. L. Montour, J. D. Wilson, Mechanisms of neovascularization. Vascular sprouting can occur without proliferation of endothelial cells, Lab. Invest. 51 (1984) 624-634.
    • (1984) Lab. Invest. , vol.51 , pp. 624-634
    • Sholley, M.M.1    Ferguson, G.P.2    Seibel, H.R.3    Montour, J.L.4    Wilson, J.D.5
  • 61
    • 77952670002 scopus 로고
    • Effect of X-Irradiation on proliferation of microvascular endothelial cells
    • M. M. Sholley, J. D. Wilson, J. L. Montour, Effect of X-Irradiation on proliferation of microvascular endothelial cells, Rad. Res. 94 (1983) 648-649.
    • (1983) Rad. Res. , vol.94 , pp. 648-649
    • Sholley, M.M.1    Wilson, J.D.2    Montour, J.L.3
  • 64
    • 58349108845 scopus 로고    scopus 로고
    • Predicting drug pharmacokinetics and effect in vascularized tumors using computer simulation
    • J. P. Sinek, S. Sanga, X. Zheng, H. B. Frieboes, M. Ferrari, V. Cristini, Predicting drug pharmacokinetics and effect in vascularized tumors using computer simulation, J. Math Biol. 58 (2009) 485-510, http://dx.doi.org/10.1016/j.nano.2006.10.048.
    • (2009) J. Math Biol. , vol.58 , pp. 485-510
    • Sinek, J.P.1    Sanga, S.2    Zheng, X.3    Frieboes, H.B.4    Ferrari, M.5    Cristini, V.6
  • 65
    • 0037119531 scopus 로고    scopus 로고
    • Tumour induced angiogenesis as a reinforced random walk: Modeling capillary network formation without endothelial cell proliferation
    • B. D. Sleeman, I. P. Wallis, Tumour induced angiogenesis as a reinforced random walk: Modeling capillary network formation without endothelial cell proliferation, J. Math. Comp. Modelling 36 (2002) 339-358, http://dx.doi.org/10.1016/s0895-7177(02)00129-2.
    • (2002) J. Math. Comp. Modelling , vol.36 , pp. 339-358
    • Sleeman, B.D.1    Wallis, I.P.2
  • 69
    • 41449110739 scopus 로고    scopus 로고
    • Velocity of radial expansion of contrast-enhancing gliomas and the effectiveness of radiotherapy in individual patients: A proof of principle
    • K. R. Swanson, H. L. Harpold, D. L. Peacock, R. Rockne, C. Pennington, L. Kilbride, R. Grant, J. M. Wardlaw, E. C. Alvord, Jr., Velocity of radial expansion of contrast-enhancing gliomas and the effectiveness of radiotherapy in individual patients: A proof of principle, Clin Oncol 20 no. 4 (2008) 301-308.
    • (2008) Clin Oncol , vol.20 , Issue.4 , pp. 301-308
    • Swanson, K.R.1    Harpold, H.L.2    Peacock, D.L.3    Rockne, R.4    Pennington, C.5    Kilbride, L.6    Grant, R.7    Wardlaw, J.M.8    Alvord, E.C.9
  • 70
    • 84255170467 scopus 로고    scopus 로고
    • Quantifying the role of angiogenesis in malignant progression of gliomas: In silico modeling integrates imaging and histology
    • K. R. Swanson, K. C. Rockne, J. Claridge, M. A. Chaplain, E. C. Alvord, A. R. Anderson, Quantifying the role of angiogenesis in malignant progression of gliomas: In silico modeling integrates imaging and histology, Cancer Res 71 no. 24 (2011) 7366-7375, http://dx.doi.org/10.1158/0008-5472.can-11-1399.
    • (2011) Cancer Res , vol.71 , Issue.24 , pp. 7366-7375
    • Swanson, K.R.1    Rockne, K.C.2    Claridge, J.3    Chaplain, M.A.4    Alvord, E.C.5    Anderson, A.R.6
  • 71
    • 66249097780 scopus 로고    scopus 로고
    • Quantitative metrics of net proliferation and invasion link biological aggressiveness assessed by MRI with hypoxia assessed by FMISO-PET in newly diagnosed glioblastomas
    • M. D. Szeto, G. Chakraborty, J. Hadley, R. Rockne, M. Muzi, E. C. Alvord, Jr. K. A. Krohn, A. M. Spence, K. R. Swanson, Quantitative metrics of net proliferation and invasion link biological aggressiveness assessed by MRI with hypoxia assessed by FMISO-PET in newly diagnosed glioblastomas. Cancer Res 69 no. 10 (2009) 4502-4509, http://dx.doi.org/10.1158/0008-5472.can-08-3884.
    • (2009) Cancer Res , vol.69 , Issue.10 , pp. 4502-4509
    • Szeto, M.D.1    Chakraborty, G.2    Hadley, J.3    Rockne, R.4    Muzi, M.5    Alvord, E.C.6    Krohn, K.A.7    Spence, A.M.8    Swanson, K.R.9
  • 72
    • 0242692366 scopus 로고    scopus 로고
    • Proteome analysis of the rat cornea during angiogenesis
    • L. J. Thompson, F. Wang, A. D. Praia, Proteome analysis of the rat cornea during angiogenesis, Pro-teomics 3 (2003) 2258-2266, http://dx.doi.org/10.1002/pmic.200300498.
    • (2003) Pro-teomics , vol.3 , pp. 2258-2266
    • Thompson, L.J.1    Wang, F.2    Praia, A.D.3
  • 73
    • 80053474763 scopus 로고    scopus 로고
    • Bevacizumab has differential and dose-dependent effects on glioma blood vessels and tumor cells
    • L. von Baumgarten, D. Brucker, A. Tirniceru, Bevacizumab has differential and dose-dependent effects on glioma blood vessels and tumor cells, Clin. Cancer Res. 17 (2011) 6192-6205, http://dx.doi.org/10.1158/1078-0432.ccr-10-1868.
    • (2011) Clin. Cancer Res. , vol.17 , pp. 6192-6205
    • Von Baumgarten, L.1    Brucker, D.2    Tirniceru, A.3
  • 74
    • 71549138367 scopus 로고    scopus 로고
    • Prognostic significance of growth kinetics in newly diagnosed glioblastomas revealed by combining serial imaging with a novel biomathemati-cal model
    • C. H. Wang, J. K. Rockhill, M. Mrugala, D. L. Peacock, A. Lai, K. Jusenius, J. M. Wardlaw, T. Cloughesy, A. M. Spence, R. Rockne, E. C. Alvord, Jr., K. R. Swanson, Prognostic significance of growth kinetics in newly diagnosed glioblastomas revealed by combining serial imaging with a novel biomathemati-cal model, Cancer Res 69 no. 23 (2009) 9133-9140, http://dx.doi.org/10.1158/0008-5472.can-08-3863.
    • (2009) Cancer Res , vol.69 , Issue.23 , pp. 9133-9140
    • Wang, C.H.1    Rockhill, J.K.2    Mrugala, M.3    Peacock, D.L.4    Lai, A.5    Jusenius, K.6    Wardlaw, J.M.7    Cloughesy, T.8    Spence, A.M.9    Rockne, R.10    Alvord, E.C.11    Swanson, K.R.12
  • 76
    • 76749114760 scopus 로고    scopus 로고
    • Response assessment challenges in clinical trials of gliomas
    • P. Y. Wen, A. D. Norden, J. Drappatz, E. Quant, Response assessment challenges in clinical trials of gliomas, Curr Oncol Rep 12 no. 1 (2010) 68-75, http://dx.doi.org/10.1007/S11912-009-0078-3.
    • (2010) Curr Oncol Rep , vol.12 , Issue.1 , pp. 68-75
    • Wen, P.Y.1    Norden, A.D.2    Drappatz, J.3    Quant, E.4

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