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Volumn 12, Issue 8, 1999, Pages 121-127

A mathematical analysis of a model for capillary network formation in the absence of endothelial cell proliferation

Author keywords

Angiogenesis; Chemotaxis; Endothelial cells; Haptotaxis; Sturm Liouville problem

Indexed keywords


EID: 0000189791     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(99)00132-9     Document Type: Article
Times cited : (22)

References (10)
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    • Mechanisms of neovascularization. Vascular sprouting can occur without proliferation of endothelial cells
    • M.M. Sholley, G.P. Ferguson, H.R. Seibel, J.L. Montour and J.D. Wilson, Mechanisms of neovascularization. Vascular sprouting can occur without proliferation of endothelial cells, Lab. Invest. 51, 624-634, (1984).
    • (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
  • 4
    • 0001257097 scopus 로고    scopus 로고
    • A mathematical model for capillary network formation in the absence of endothelial cell proliferation
    • A.R.A. Anderson and M.A. J. Chaplain, A mathematical model for capillary network formation in the absence of endothelial cell proliferation, Appl. Math. Lett. 11 (3), 109-114, (1998).
    • (1998) Appl. Math. Lett. , vol.11 , Issue.3 , pp. 109-114
    • Anderson, A.R.A.1    Chaplain, M.A.J.2
  • 5
    • 0042157454 scopus 로고
    • Travelling bands of chemotactic bacteria: A theoretical analysis
    • E.F. Keller and L.A. Segel, Travelling bands of chemotactic bacteria: A theoretical analysis, J. Theor. Biol. 27, 309-317, (1971).
    • (1971) J. Theor. Biol. , vol.27 , pp. 309-317
    • Keller, E.F.1    Segel, L.A.2
  • 6
    • 0032170064 scopus 로고    scopus 로고
    • Continuous and discrete mathematical models of tumour - Induced angiogenesis
    • A.R.A. Anderson and M.A.J. Chaplain, Continuous and discrete mathematical models of tumour - Induced angiogenesis, Bull. Math. Biol. 60, 857-899, (1998).
    • (1998) Bull. Math. Biol. , vol.60 , pp. 857-899
    • Anderson, A.R.A.1    Chaplain, M.A.J.2
  • 8
    • 0020315282 scopus 로고
    • Blood vessel fibronectin increases in conjunction with endothelial cell proliferation and capillary ingrowth during wound healing
    • R.A.F. Clark, P. DellaPelle, E. Manseau, J.M. Lanigan, H.F. Dvorak and R.B. Colvin, Blood vessel fibronectin increases in conjunction with endothelial cell proliferation and capillary ingrowth during wound healing, J. Invest. Dermatol. 79, 269-276, (1982).
    • (1982) J. Invest. Dermatol. , vol.79 , pp. 269-276
    • Clark, R.A.F.1    DellaPelle, P.2    Manseau, E.3    Lanigan, J.M.4    Dvorak, H.F.5    Colvin, R.B.6
  • 9
    • 0025994605 scopus 로고
    • First steps of tumor-related angiogenesis
    • S. Paku and N. Paweletz, First steps of tumor-related angiogenesis, Lab. Invest. 65, 334-346, (1991).
    • (1991) Lab. Invest. , vol.65 , pp. 334-346
    • Paku, S.1    Paweletz, N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.