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Volumn 9, Issue 1, 1996, Pages 69-74

Explicit solutions of a simplified model of capillary sprout growth during tumor angiogenesis

Author keywords

Chemotaxis; Nonlinear waves; Tumor angiogenesis

Indexed keywords


EID: 0008305465     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/0893-9659(95)00105-0     Document Type: Article
Times cited : (19)

References (9)
  • 1
    • 0024281372 scopus 로고
    • Cell and environment interactions in tumor microregions: The multicell spheroid model
    • R.M. Sutherland, Cell and environment interactions in tumor microregions: The multicell spheroid model, Science 240, 177-184, (1988).
    • (1988) Science , vol.240 , pp. 177-184
    • Sutherland, R.M.1
  • 4
    • 0022253881 scopus 로고
    • A mathematical model of tumour-induced capillary growth
    • D. Balding and D.L.S. McElwain, A mathematical model of tumour-induced capillary growth, J. Theor. Biol. 114, 53-73, (1985).
    • (1985) J. Theor. Biol. , vol.114 , pp. 53-73
    • Balding, D.1    McElwain, D.L.S.2
  • 5
    • 0025991093 scopus 로고
    • Analysis of the roles of microvessel endothelial cell random motility and chemotaxis in angiogenesis
    • C.L. Stokes and D.A. Lauffenburger, Analysis of the roles of microvessel endothelial cell random motility and chemotaxis in angiogenesis, J. Theor. Biol. 152, 377-403, (1991).
    • (1991) J. Theor. Biol. , vol.152 , pp. 377-403
    • Stokes, C.L.1    Lauffenburger, D.A.2
  • 6
    • 77957176863 scopus 로고
    • A model mechanism for the chemotactic response of endothelial cells to tumour angiogenesis factor
    • M.A.J. Chaplain and A.M. Stuart, A model mechanism for the chemotactic response of endothelial cells to tumour angiogenesis factor, IMA J. Math. Appl. Med. Biol. 10, 149-168, (1993).
    • (1993) IMA J. Math. Appl. Med. Biol. , vol.10 , pp. 149-168
    • Chaplain, M.A.J.1    Stuart, A.M.2
  • 7
    • 85029998439 scopus 로고    scopus 로고
    • Mathematical models for tumour angiogenesis: Numerical simulations and nonlinear wave solutions
    • to appear
    • H.M. Byrne and M.A.J. Chaplain, Mathematical models for tumour angiogenesis: Numerical simulations and nonlinear wave solutions, Bull. Math. Biol. (to appear).
    • Bull. Math. Biol.
    • Byrne, H.M.1    Chaplain, M.A.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.