title: A therapy inactivating the tumor angiogenic factors.
abstract: 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.
authors: Departamento de Ecuaciones Diferenciales y Analisis Numerico, Facultad de Matematicas, Universidad de Sevilla, Calle Tar a s/n, 41012-Seville, Spain. cristianm@us.es
authors: Cristian
authors: C
authors: Morales-Rodrigo
mesh_terms: D000465:Algorithms; D043925:Angiogenesis Inducing Agents / Q000627:therapeutic use; D020533:Angiogenesis Inhibitors / Q000494:pharmacology*; D000818:Animals; D004058:Diffusion; D015972:Gene Expression Regulation, Neoplastic; D006801:Humans; D008495:Medical Oncology / Q000379:methods; D008954:Models, Biological; D015233:Models, Statistical; D009369:Neoplasms / Q000188:drug therapy* / Q000473:pathology*; D009389:Neovascularization, Pathologic / Q000188:drug therapy*
chemical_list: D043925:Angiogenesis Inducing Agents; D020533:Angiogenesis Inhibitors