Open AccessA therapy inactivating the tumor angiogenic factors
Author(s) -
Cristian Morales-Rodrigo
Publication year - 2013
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2013.10.185
Subject(s) - nonlinear system , flux (metallurgy) , partial differential equation , angiogenesis , cancer research , nonlinear model , mathematics , control theory (sociology) , computer science , biological system , medicine , chemistry , biology , physics , mathematical analysis , artificial intelligence , control (management) , organic chemistry , quantum mechanics
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.