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

Pinho, Suani T.R.; Souza Bacelar, Flora; Andrade, Roberto F.S.; Freedman, H.I.
Nonlinear Analysis: Real World Applications 14, 815-828 (2013)

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.