Mathematical analysis of a model of tumour invasion and simulations

Akisato Kubo

研究成果: Article査読

4 被引用数 (Scopus)

抄録

We study a parabolic ODE system modeling tumour invasion proposed by Anderson and Chaplain in 2003. Then we will apply the approach used in mathematical models of tumour angiogenesis to it and show the solvability and the asymptotic profile of the solution of it. Actually in use of the transformation of Levine and Sleeman, we reduce it to a system consist of evolution equations. Then, we show global existence in time of the solution in arbitrary space dimension by a priori estimate. Finally we show some results of computer simulations of the model with the help of our mathematical analysis.

本文言語English
ページ(範囲)187-194
ページ数8
ジャーナルInternational Journal of Mathematical Models and Methods in Applied Sciences
4
3
出版ステータスPublished - 30-11-2010

All Science Journal Classification (ASJC) codes

  • モデリングとシミュレーション
  • 数理物理学
  • 計算数学
  • 応用数学

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