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

作者:Pinho S T R*; Bacelar F S; Andrade R F S; Freedman H I
来源:Nonlinear Analysis: Real World Applications , 2013, 14(1): 815-828.
DOI:10.1016/j.nonrwa.2012.07.034

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.

  • 出版日期2013-2