Mathematical analysis of models for tumour angiogenesis

Akisato Kubo

研究成果: Conference contribution

抄録

We deal with well known two mathematical models of tumour angiogenesis. We first review the solvability and the asymptotic profile of the solution to a parabolic ODE system proposed by Othmer and Stevens. 'Next we consider the model of tumour induced angiogenesis by Anderson and Chaplain in the same line. We modify Anderson and Chaplain model to the same type system of Othmer and Stevens model. This implies a similarity between these models and we can show the existence of global solutions and numerical simulations of Anderson and Chaplain model by using such similarity.

本文言語English
ホスト出版物のタイトルBioMedical Engineering and Informatics
ホスト出版物のサブタイトルNew Development and the Future - Proceedings of the 1st International Conference on BioMedical Engineering and Informatics, BMEI 2008
ページ700-705
ページ数6
DOI
出版ステータスPublished - 17-09-2008
イベントBioMedical Engineering and Informatics: New Development and the Future - 1st International Conference on BioMedical Engineering and Informatics, BMEI 2008 - Sanya, Hainan, China
継続期間: 27-05-200830-05-2008

出版物シリーズ

名前BioMedical Engineering and Informatics: New Development and the Future - Proceedings of the 1st International Conference on BioMedical Engineering and Informatics, BMEI 2008
1

Other

OtherBioMedical Engineering and Informatics: New Development and the Future - 1st International Conference on BioMedical Engineering and Informatics, BMEI 2008
国/地域China
CitySanya, Hainan
Period27-05-0830-05-08

All Science Journal Classification (ASJC) codes

  • 情報システム
  • 信号処理
  • 生体医工学

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