Mathematical analysis of a model of tumour invasion

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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.

Original languageEnglish
Title of host publicationLatest Trends on Energy and Development, Environment and Biomedicine - 4th International Conference on Energy and Development, Environment and Biomedicine, EDEB'10
Pages71-74
Number of pages4
Publication statusPublished - 01-12-2010
Event4th International Conference on Energy and Development, Environment and Biomedicine, EDEB'10 - Corfu Island, Greece
Duration: 22-07-201025-07-2010

Publication series

NameInternational Conference on Energy and Development, Environment and Biomedicine - Proceedings
ISSN (Print)1792-4340

Other

Other4th International Conference on Energy and Development, Environment and Biomedicine, EDEB'10
CountryGreece
CityCorfu Island
Period22-07-1025-07-10

Fingerprint

Tumors
Mathematical models

All Science Journal Classification (ASJC) codes

  • Energy Engineering and Power Technology
  • Biomedical Engineering
  • Environmental Engineering

Cite this

Kubo, A. (2010). Mathematical analysis of a model of tumour invasion. In Latest Trends on Energy and Development, Environment and Biomedicine - 4th International Conference on Energy and Development, Environment and Biomedicine, EDEB'10 (pp. 71-74). (International Conference on Energy and Development, Environment and Biomedicine - Proceedings).
Kubo, Akisato. / Mathematical analysis of a model of tumour invasion. Latest Trends on Energy and Development, Environment and Biomedicine - 4th International Conference on Energy and Development, Environment and Biomedicine, EDEB'10. 2010. pp. 71-74 (International Conference on Energy and Development, Environment and Biomedicine - Proceedings).
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Kubo, A 2010, Mathematical analysis of a model of tumour invasion. in Latest Trends on Energy and Development, Environment and Biomedicine - 4th International Conference on Energy and Development, Environment and Biomedicine, EDEB'10. International Conference on Energy and Development, Environment and Biomedicine - Proceedings, pp. 71-74, 4th International Conference on Energy and Development, Environment and Biomedicine, EDEB'10, Corfu Island, Greece, 22-07-10.

Mathematical analysis of a model of tumour invasion. / Kubo, Akisato.

Latest Trends on Energy and Development, Environment and Biomedicine - 4th International Conference on Energy and Development, Environment and Biomedicine, EDEB'10. 2010. p. 71-74 (International Conference on Energy and Development, Environment and Biomedicine - Proceedings).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Kubo A. Mathematical analysis of a model of tumour invasion. In Latest Trends on Energy and Development, Environment and Biomedicine - 4th International Conference on Energy and Development, Environment and Biomedicine, EDEB'10. 2010. p. 71-74. (International Conference on Energy and Development, Environment and Biomedicine - Proceedings).