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Título: | A mathematical model for the effect of anti-angiogenic therapy in the treatment of cancer tumours by chemotherapy |
Autor: | Pinho, Suani T. R.; Bacelar, Flora S. CSIC; Andrade, Roberto F. S.; Freedman, H. I. | Palabras clave: | Cancer therapy Differential equations model Angiogenesis |
Fecha de publicación: | feb-2013 | Editor: | Elsevier | Citación: | Nonlinear Analysis: Real World Applications 14(1): 815-828 (2013) | Resumen: | 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. | Versión del editor: | http://dx.doi.org/10.1016/j.nonrwa.2012.07.034 | URI: | http://hdl.handle.net/10261/117140 | DOI: | 10.1016/j.nonrwa.2012.07.034 | Identificadores: | doi: 10.1016/j.nonrwa.2012.07.034 issn: 1468-1218 |
Aparece en las colecciones: | (IFISC) Artículos |
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