Departamento de Ecuaciones Diferenciales y Analisis Numerico, Facultad de Matematicas, Universidad de Sevilla, Calle Tar a s/n, 41012-Seville, Spain.
Math Biosci Eng. 2013 Feb;10(1):185-98. doi: 10.3934/mbe.2013.10.185.
This paper is devoted to a nonlinear system of partial differential equations modeling the effect of an anti-angiogenic therapy based on an agent that binds to the tumor angiogenic factors. The main feature of the model under consideration is a nonlinear flux production of tumor angiogenic factors at the boundary of the tumor. It is proved the global existence for the nonlinear system and the effect in the large time behavior of the system for high doses of the therapeutic agent.
本文致力于研究一种基于与肿瘤血管生成因子结合的药物的抗血管生成治疗效果的非线性偏微分方程组系统。所考虑模型的主要特点是在肿瘤边界处肿瘤血管生成因子的非线性通量产生。证明了非线性系统的整体存在性和在高剂量治疗药物作用下系统的大时间行为效应。
