Stability analysis of the steady-state solution of a mathematical model in tumor angiogenesis

Pamuk S. , GURBUZ A.

International Workshop on Global Analysis, Ankara, Türkiye, 15 - 17 Nisan 2004, cilt.729, ss.369-373

  • Cilt numarası: 729
  • Basıldığı Şehir: Ankara
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayısı: ss.369-373


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 tau(c(a), f). Trajectories near the critical point(s) are drawn, and the biological importance of the result is expressed briefly.