The following information was submitted:
Transactions: INTERNATIONAL JOURNAL of MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES
Transactions ID Number: 19-380
Full Name: Akisato Kubo
Position: Professor
Age: ON
Sex: Male
Address: 1-98, Den-ga-kubo, Kutsukake-cho, Toyoake, Aichi
Country: JAPAN
Tel: +81-562-93-2956
Tel prefix:
Fax: +81-562-93-4595
E-mail address: akikubo@fujita-hu.ac.jp
Other E-mails: yrr03600@nifty.com
Title of the Paper: mathematical analysis of a model of tumour invasion and simulations
Authors as they appear in the Paper: Akisato Kubo
Email addresses of all the authors: akikubo@fujita-hu.ac.jp
Number of paper pages: 8
Abstract: 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.
Keywords: Tumour invasion, Mathematical analysis, Time global solution, Asymptotic property, Numerical experiment
EXTENSION of the file: .pdf
Special (Invited) Session: mathematical analysis of a model of tumour invasion and simulations
Organizer of the Session: 102-276
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