The method of lines for the numerical solution of a mathematical model for capillary formation: The role of tumor angiogenic factor in the extra-cellular matrix

ERDEM A., Pamuk S.

APPLIED MATHEMATICS AND COMPUTATION, cilt.186, sa.1, ss.891-897, 2007 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 186 Sayı: 1
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1016/j.amc.2006.08.021
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.891-897
  • Kocaeli Üniversitesi Adresli: Evet

Özet

In this paper we present the method of lines for the numerical solution of a mathematical model for capillary formation in two space dimensions x, y. We study the tumor angiogenic factor (TAF) equation, and suppose there is no tumor source supplied to the system for simplicity. This method is an approach to the numerical solution of partial differential equations that involve a time variable t and space variables x,y,... We provide computer programs written in Matlab for linear and nonlinear case, and provide figures that show the TAF progression in time. (C) 2006 Elsevier Inc. All rights reserved.