, Volume 156, Issue 2, pp 365-379,
Open Access This content is freely available online to anyone, anywhere at any time.
Date: 15 Aug 2012

A Dynamic Programming Approach for Approximate Optimal Control for Cancer Therapy


In the last 15 years, tumor anti-angiogenesis became an active area of research in medicine and also in mathematical biology, and several models of dynamics and optimal controls of angiogenesis have been described. We use the Hamilton–Jacobi approach to study the numerical analysis of approximate optimal solutions to some of those models earlier analysed from the point of necessary optimality conditions in the series of papers by Ledzewicz and Schaettler.

Communicated by A. d’Onofrio.