TY - GEN
T1 - Mathematical analysis of a model of tumour invasion
AU - Kubo, Akisato
PY - 2010
Y1 - 2010
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.
UR - https://www.scopus.com/pages/publications/79958755702
UR - https://www.scopus.com/pages/publications/79958755702#tab=citedBy
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 -