期刊
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
卷 14, 期 1, 页码 815-828出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2012.07.034
关键词
Differential equations model; Cancer therapy; Angiogenesis
资金
- Brazilian agency CNPq (INCT-Complex Systems, INCT-CITECS)
- Brazilian agency FAPESB/PRONEX
- Spanish Agency AECI
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. (C) 2012 Elsevier Ltd. All rights reserved.
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