Optimal Control of Bone Marrow in Cancer Chemotherapy

Abstract

We introduce an optimal method for controlling the bone marrow dynamics in cell-cycle-specific cancer<br><br>chemotherapy. This method is based on measure theory and gives us the strategy applying drug where both bone marrow mass and the dose be maximized over the treatment interval. Using measure theory, the corresponding optimal control problem be transfer into a modified problem which is a type of an infinite dimensional linear programming problem whose its optimal solution can be approximated by optimal solution of finite dimensional problem.