Stability Analysis of the Steady-State Solution of a Mathematical Model in Tumor Angiogenesis

The stability of the steady-state solution of endothelial cell equation in a mathematical model for tumor angiogenesis is studied. It is proven mathematically that the steady-state solution is indeed the transition probability function (ca, f). Trajectories near the critical point(s) are drawn, and...

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Bibliographic Details
Published inAIP conference proceedings Vol. 729; pp. 369 - 373
Main Authors Pamuk, Serdal, Gurbuz, Aslihan
Format Journal Article
LanguageEnglish
Published 01.01.2004
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Summary:The stability of the steady-state solution of endothelial cell equation in a mathematical model for tumor angiogenesis is studied. It is proven mathematically that the steady-state solution is indeed the transition probability function (ca, f). Trajectories near the critical point(s) are drawn, and the biological importance of the result is expressed briefly.
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ISBN:0735402094
9780735402096
ISSN:0094-243X
DOI:10.1063/1.1814752