메뉴 건너뛰기




Volumn 13, Issue 5, 2000, Pages 127-132

Steady-state solutions of a generic model for the formation of capillary networks

Author keywords

Angiogenesis; Global bifurcation; Singular perturbation; Tumour growth

Indexed keywords


EID: 0038184941     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(00)00044-6     Document Type: Article
Times cited : (5)

References (10)
  • 1
    • 0001257097 scopus 로고    scopus 로고
    • A mathematical model for capillary network formation in the absence of endothelial cell proliferation
    • Anderson A.R.A., Chaplain M.A.J. A mathematical model for capillary network formation in the absence of endothelial cell proliferation. Appl. Math. Lett. 11:(3):1998;109-114.
    • (1998) Appl. Math. Lett. , vol.11 , Issue.3 , pp. 109-114
    • Anderson, A.R.A.1    Chaplain, M.A.J.2
  • 2
    • 0000189791 scopus 로고    scopus 로고
    • A mathematical analysis of a model for capillary network formation in the absence of endothelial cell proliferation
    • Sleeman B.D., Anderson A.R.A., Chaplain M.A.J. A mathematical analysis of a model for capillary network formation in the absence of endothelial cell proliferation. Appl. Math. Lett. 12:(8):1999;121-127.
    • (1999) Appl. Math. Lett. , vol.12 , Issue.8 , pp. 121-127
    • Sleeman, B.D.1    Anderson, A.R.A.2    Chaplain, M.A.J.3
  • 3
    • 84980196829 scopus 로고
    • Nonlinear Sturm-Liouville problems for second order ordinary differential equations
    • Rabinowitz P.H. Nonlinear Sturm-Liouville problems for second order ordinary differential equations. Comm. Pure Appl. Math. 23:1970;939-961.
    • (1970) Comm. Pure Appl. Math. , vol.23 , pp. 939-961
    • Rabinowitz, P.H.1
  • 4
    • 36448974335 scopus 로고
    • Some global results for nonlinear eigenvalue problems
    • Rabinowitz P.H. Some global results for nonlinear eigenvalue problems. J. Func. Anal. 7:1971;487-513.
    • (1971) J. Func. Anal. , vol.7 , pp. 487-513
    • Rabinowitz, P.H.1
  • 5
    • 85037451554 scopus 로고    scopus 로고
    • Global secondary bifurcation in a non-linear boundary value problem
    • Dept. of Mathematics, University of Dundee
    • Davidson F.A. Global secondary bifurcation in a non-linear boundary value problem. Applied Analysis Report AA/983. 1998;Dept. of Mathematics, University of Dundee.
    • (1998) Applied Analysis Report AA/983
    • Davidson, F.A.1
  • 6
    • 0001056317 scopus 로고
    • Bifurcation from simple eigenvalues
    • Crandall M., Rabinowitz P.H. Bifurcation from simple eigenvalues. J. Func. Anal. 8:1971;321-340.
    • (1971) J. Func. Anal. , vol.8 , pp. 321-340
    • Crandall, M.1    Rabinowitz, P.H.2
  • 7
    • 0001339498 scopus 로고
    • Global bifurcation of positive solutions in some systems of elliptic equations
    • Blat J., Brown K.J. Global bifurcation of positive solutions in some systems of elliptic equations. SIAM J. Math. Anal. 17:1986;1339-1353.
    • (1986) SIAM J. Math. Anal. , vol.17 , pp. 1339-1353
    • Blat, J.1    Brown, K.J.2
  • 8
    • 0000874936 scopus 로고
    • On the structure of solutions of non-linear eigenvalue problems
    • Dancer E.N. On the structure of solutions of non-linear eigenvalue problems. Ind. Univ. Maths. J. 23:1974;1071-1076.
    • (1974) Ind. Univ. Maths. J. , vol.23 , pp. 1071-1076
    • Dancer, E.N.1
  • 10
    • 0028929803 scopus 로고
    • Angiogenesis in cancer, vascular, rheumatoid and other disease
    • Folkman J. Angiogenesis in cancer, vascular, rheumatoid and other disease. Nature Medicine. 1:1995;27-30.
    • (1995) Nature Medicine , vol.1 , pp. 27-30
    • Folkman, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.