A mathematical model for the effect of anti-angiogenic therapy in the treatment of cancer tumours by chemotherapy

摘要

A model consisting of a system of five ordinary differential equations to simulate the interactions between normal cells, cancer cells, endothelial cells, chemotherapy agent and anti-angiogenic agent in tumour growth is developed. By a partial analysis of the cancer-free subspace, it is shown how the anti-angiogenic agent may help the chemotherapy agent in controlling the cancer. This is illustrated by numerical examples and bifurcation diagrams. © 2012 Published by Elsevier Ltd.