TY - GEN
T1 - Mathematical analysis of models for tumour angiogenesis
AU - Kubo, Akisato
PY - 2008
Y1 - 2008
N2 - 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.
AB - 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.
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U2 - 10.1109/BMEI.2008.92
DO - 10.1109/BMEI.2008.92
M3 - Conference contribution
AN - SCOPUS:51549092711
SN - 9780769531182
T3 - BioMedical Engineering and Informatics: New Development and the Future - Proceedings of the 1st International Conference on BioMedical Engineering and Informatics, BMEI 2008
SP - 700
EP - 705
BT - BioMedical Engineering and Informatics
T2 - BioMedical Engineering and Informatics: New Development and the Future - 1st International Conference on BioMedical Engineering and Informatics, BMEI 2008
Y2 - 27 May 2008 through 30 May 2008
ER -