TY - GEN

T1 - Mathematical analysis of a model of tumour invasion

AU - Kubo, Akisato

PY - 2010/12/1

Y1 - 2010/12/1

N2 - 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.

AB - 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.

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M3 - Conference contribution

AN - SCOPUS:79958755702

SN - 9789604742097

T3 - International Conference on Energy and Development, Environment and Biomedicine - Proceedings

SP - 71

EP - 74

BT - Latest Trends on Energy and Development, Environment and Biomedicine - 4th International Conference on Energy and Development, Environment and Biomedicine, EDEB'10

T2 - 4th International Conference on Energy and Development, Environment and Biomedicine, EDEB'10

Y2 - 22 July 2010 through 25 July 2010

ER -