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Volumn 43, Issue 6, 2010, Pages 542-552

Coupled mathematical model of tumorigenesis and angiogenesis in vascular tumours

Author keywords

[No Author keywords available]

Indexed keywords

GROWTH FACTOR;

EID: 78049476341     PISSN: 09607722     EISSN: 13652184     Source Type: Journal    
DOI: 10.1111/j.1365-2184.2010.00703.x     Document Type: Article
Times cited : (6)

References (31)
  • 2
    • 13144256695 scopus 로고    scopus 로고
    • Mathematical modeling of tumorigenesis: mission possible
    • Komarova NL (2005) Mathematical modeling of tumorigenesis: mission possible. Curr. Opin. Oncol. 17, 39-43.
    • (2005) Curr. Opin. Oncol. , vol.17 , pp. 39-43
    • Komarova, N.L.1
  • 3
    • 34047260282 scopus 로고    scopus 로고
    • Effect of vascular normalization by antiangiogenic therapy on interstitial hypertension, peritumor edema, and lymphatic metastasis: insights from a mathematical model
    • Jain RK, Tong RT, Munn LL (2007) Effect of vascular normalization by antiangiogenic therapy on interstitial hypertension, peritumor edema, and lymphatic metastasis: insights from a mathematical model. Cancer Res. 67, 2729-2735.
    • (2007) Cancer Res. , vol.67 , pp. 2729-2735
    • Jain, R.K.1    Tong, R.T.2    Munn, L.L.3
  • 4
    • 33751226638 scopus 로고    scopus 로고
    • A multiscale mathematical model of avascular tumor growth to investigate the therapeutic benefit of anti-invasive agents
    • Ribba B, S O, Colin T, Bresch D, Grenier E, Boissel JP (2006) A multiscale mathematical model of avascular tumor growth to investigate the therapeutic benefit of anti-invasive agents. J. Theor. Biol. 243, 532-541.
    • (2006) J. Theor. Biol. , vol.243 , pp. 532-541
    • Ribba, B.1    S, O.2    Colin, T.3    Bresch, D.4    Grenier, E.5    Boissel, J.P.6
  • 5
    • 0141481981 scopus 로고    scopus 로고
    • A mathematical model of the contribution of endothelial progenitor cells to angiogenesis in tumors: implications for antiangiogenic therapy
    • Stoll BR, Migliorini C, Kadambi A, Munn LL, Jain RK (2003) A mathematical model of the contribution of endothelial progenitor cells to angiogenesis in tumors: implications for antiangiogenic therapy. Blood 102, 2555-2561.
    • (2003) Blood , vol.102 , pp. 2555-2561
    • Stoll, B.R.1    Migliorini, C.2    Kadambi, A.3    Munn, L.L.4    Jain, R.K.5
  • 6
    • 34547771792 scopus 로고    scopus 로고
    • Predictive oncology: a review of multidisciplinary, multiscale in silico modeling linking phenotype, morphology and growth
    • Sanga S, Frieboes HB, Zheng X, Gatenby R, Bearer EL, Cristini V. (2007) Predictive oncology: a review of multidisciplinary, multiscale in silico modeling linking phenotype, morphology and growth. Neuroimage 37(Suppl. 1):S120-S134, [doi: ].
    • (2007) Neuroimage , vol.37 , Issue.SUPPL. 1
    • Sanga, S.1    Frieboes, H.B.2    Zheng, X.3    Gatenby, R.4    Bearer, E.L.5    Cristini, V.6
  • 7
    • 34249980052 scopus 로고    scopus 로고
    • Mathematical models of avascular tumor growth
    • Roose T, Chapman SJ, Maini PK (2007) Mathematical models of avascular tumor growth. SIAM Rev. 49, 179-208.
    • (2007) SIAM Rev. , vol.49 , pp. 179-208
    • Roose, T.1    Chapman, S.J.2    Maini, P.K.3
  • 8
    • 33845332311 scopus 로고    scopus 로고
    • The Biology of Cancer
    • New York: Garland Science.
    • Weinberg R (2007) The Biology of Cancer. New York: Garland Science.
    • (2007)
    • Weinberg, R.1
  • 9
    • 0036984640 scopus 로고    scopus 로고
    • Role of angiogenesis in tumor growth and metastasis
    • Folkman J (2002) Role of angiogenesis in tumor growth and metastasis. Semin. Oncol. 29 (6, Supplement 16), 15-18, [doi: ].
    • (2002) Semin. Oncol. , vol.29 , Issue.6 SUPPL. 16 , pp. 15-18
    • Folkman, J.1
  • 10
    • 0034648765 scopus 로고    scopus 로고
    • Angiogenesis in cancer and other diseases
    • Carmeliet P, Jain RK (2000) Angiogenesis in cancer and other diseases. Nature 407, 249-257, [doi: ].
    • (2000) Nature , vol.407 , pp. 249-257
    • Carmeliet, P.1    Jain, R.K.2
  • 11
    • 0344063664 scopus 로고    scopus 로고
    • Cellular automation models of tumor development: a critical review
    • Moreira J, Deutsch A (2002) Cellular automation models of tumor development: a critical review. Adv. Complex Syst. 5, 247-268.
    • (2002) Adv. Complex Syst. , vol.5 , pp. 247-268
    • Moreira, J.1    Deutsch, A.2
  • 12
    • 0032170064 scopus 로고    scopus 로고
    • Continuous and discrete mathematical models of tumor-induced angiogenesis
    • doi: ].
    • Anderson A, Chaplain M (1998) Continuous and discrete mathematical models of tumor-induced angiogenesis. Bull. Math. Biol. 60, 857-899, [doi: ].
    • (1998) Bull. Math. Biol. , vol.60 , pp. 857-899
    • Anderson, A.1    Chaplain, M.2
  • 14
    • 0034845581 scopus 로고    scopus 로고
    • Mathematical modeling of capillary formation and development in tumor angiogenesis: penetration into the stroma
    • Levine H, Pamuk S, Sleeman B, Nilsen-Hamilton M (2001) Mathematical modeling of capillary formation and development in tumor angiogenesis: penetration into the stroma. Bull. Math. Biol. 63, 801-863.
    • (2001) Bull. Math. Biol. , vol.63 , pp. 801-863
    • Levine, H.1    Pamuk, S.2    Sleeman, B.3    Nilsen-Hamilton, M.4
  • 15
    • 34247569970 scopus 로고    scopus 로고
    • A cell-based model exhibiting branching and anastomosis during tumor-induced angiogenesis
    • Bauer AL, Jackson TL, Jiang Y (2007) A cell-based model exhibiting branching and anastomosis during tumor-induced angiogenesis. Biophys. J. 92, 3105-3121.
    • (2007) Biophys. J. , vol.92 , pp. 3105-3121
    • Bauer, A.L.1    Jackson, T.L.2    Jiang, Y.3
  • 16
    • 1542344734 scopus 로고    scopus 로고
    • Modeling of self-organized avascular tumor growth with a hybrid cellular automaton
    • Dresden G (2002) Modeling of self-organized avascular tumor growth with a hybrid cellular automaton. In Silico Biol. 2, 393-406.
    • (2002) In Silico Biol. , vol.2 , pp. 393-406
    • Dresden, G.1
  • 17
    • 0035824717 scopus 로고    scopus 로고
    • A cellular automaton model of early tumor growth and invasion: the effects of native tissue vascularity and increased anaerobic tumor metabolism
    • Patel AA, Gawlinski ET, Lemieux SK, Gatenby RA (2001) A cellular automaton model of early tumor growth and invasion: the effects of native tissue vascularity and increased anaerobic tumor metabolism. J. Theor. Biol. 213, 315-331.
    • (2001) J. Theor. Biol. , vol.213 , pp. 315-331
    • Patel, A.A.1    Gawlinski, E.T.2    Lemieux, S.K.3    Gatenby, R.A.4
  • 18
    • 2542462118 scopus 로고    scopus 로고
    • Review article: multiscale modeling and mathematical problems related to tumor evolution and medical therapy
    • Bellomo N, De Angelis E, Preziosi L (2003) Review article: multiscale modeling and mathematical problems related to tumor evolution and medical therapy. Comput. Math. Methods Med. 5, 111-136.
    • (2003) Comput. Math. Methods Med. , vol.5 , pp. 111-136
    • Bellomo, N.1    De Angelis, E.2    Preziosi, L.3
  • 20
    • 0013916715 scopus 로고
    • Rate of growth of solid tumours as a problem of diffusion
    • Burton A (1966) Rate of growth of solid tumours as a problem of diffusion. Growth 30, 157-176.
    • (1966) Growth , vol.30 , pp. 157-176
    • Burton, A.1
  • 22
    • 0035480791 scopus 로고    scopus 로고
    • A new mathematical model for avascular tumour growth
    • Sherratt JA, Chaplain MAJ (2001) A new mathematical model for avascular tumour growth. J. Math. Biol. 43, 291-312.
    • (2001) J. Math. Biol. , vol.43 , pp. 291-312
    • Sherratt, J.A.1    Chaplain, M.A.J.2
  • 23
    • 69549121855 scopus 로고    scopus 로고
    • Hybrid mathematical model of glioma progression
    • Tanaka ML, Debinski W, Puri IK (2009) Hybrid mathematical model of glioma progression. Cell Prolif. 42, 637-646.
    • (2009) Cell Prolif. , vol.42 , pp. 637-646
    • Tanaka, M.L.1    Debinski, W.2    Puri, I.K.3
  • 24
    • 33644879495 scopus 로고    scopus 로고
    • Mathematical model for the cancer stem cell hypothesis
    • Ganguly R, Puri IK (2006) Mathematical model for the cancer stem cell hypothesis. Cell Prolif. 39, 3-14.
    • (2006) Cell Prolif. , vol.39 , pp. 3-14
    • Ganguly, R.1    Puri, I.K.2
  • 25
    • 34249101545 scopus 로고    scopus 로고
    • Mathematical model for chemotherapeutic drug efficacy in arresting tumour growth based on the cancer stem cell hypothesis
    • Ganguly R, Puri IK (2007) Mathematical model for chemotherapeutic drug efficacy in arresting tumour growth based on the cancer stem cell hypothesis. Cell Prolif. 40, 338-354.
    • (2007) Cell Prolif. , vol.40 , pp. 338-354
    • Ganguly, R.1    Puri, I.K.2
  • 27
    • 0029294735 scopus 로고
    • Mathematical models for tumour angiogenesis: numerical simulations and nonlinear wave solutions
    • doi: ].
    • Byrne H, Chaplain M (1995) Mathematical models for tumour angiogenesis: numerical simulations and nonlinear wave solutions. Bull. Math. Biol. 57, 461-486, [doi: ].
    • (1995) Bull. Math. Biol. , vol.57 , pp. 461-486
    • Byrne, H.1    Chaplain, M.2
  • 28
    • 16644400591 scopus 로고    scopus 로고
    • Mathematical modeling of tumor-induced angiogenesis
    • doi: ].
    • Mantzaris NV, Webb S, Othmer HG (2004) Mathematical modeling of tumor-induced angiogenesis. J. Math. Biol. 49, 111-187, [doi: ].
    • (2004) J. Math. Biol. , vol.49 , pp. 111-187
    • Mantzaris, N.V.1    Webb, S.2    Othmer, H.G.3
  • 29
    • 0036516794 scopus 로고    scopus 로고
    • Vascular tumor growth and treatment: consequences of polyclonality, competition and dynamic vascular support
    • Jackson TL (2002) Vascular tumor growth and treatment: consequences of polyclonality, competition and dynamic vascular support. J. Math. Biol. 44, 201-226.
    • (2002) J. Math. Biol. , vol.44 , pp. 201-226
    • Jackson, T.L.1
  • 30
    • 0002670122 scopus 로고    scopus 로고
    • A mathematical model of vascular tumour growth and invasion
    • doi: ].
    • Orme ME, Chaplain MAJ (1996) A mathematical model of vascular tumour growth and invasion. Math. Comput. Model. 23, 43-60, [doi: ].
    • (1996) Math. Comput. Model. , vol.23 , pp. 43-60
    • Orme, M.E.1    Chaplain, M.A.J.2
  • 31
    • 0036494543 scopus 로고    scopus 로고
    • Real-time optical imaging of primary tumor growth and multiple metastatic events in a pancreatic cancer orthotopic model
    • Bouvet M, Wang J, Nardin SR, Nassirpour R, Yang M, Baranov E et al. (2002) Real-time optical imaging of primary tumor growth and multiple metastatic events in a pancreatic cancer orthotopic model. Cancer Res. 62, 1534-1540.
    • (2002) Cancer Res. , vol.62 , pp. 1534-1540
    • Bouvet, M.1    Wang, J.2    Nardin, S.R.3    Nassirpour, R.4    Yang, M.5    Baranov, E.6


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