Optimal solutions for a model of tumor anti-angiogenesis with a penalty on the cost of treatment
Volume 36 / 2009
Applicationes Mathematicae 36 (2009), 295-312
MSC: 49J15, 93C50.
DOI: 10.4064/am36-3-4
Abstract
The scheduling of angiogenic inhibitors to control a vascularized tumor is analyzed as an optimal control problem for a mathematical model that was developed and biologically validated by Hahnfeldt et al. [Cancer Res. 59 (1999)]. Two formulations of the problem are considered. In the first one the primary tumor volume is minimized for a given amount of angiogenic inhibitors to be administered, while a balance between tumor reduction and the total amount of angiogenic inhibitors given is minimized in the second formulation. The optimal solutions to both problems are presented and compared.
