Constrained nonlinear model predictive controller design to propose an appropriate anti-angiogenesis treatment program of tumor growth

Absence of well-defined tumor vasculature plays an important role in the transport of effective doses of anticancer tumor drugs to the tumor. According to this, antiangiogenictherapy is a novel treatment approach for cancer. In this paper we consider a mathematical model of tumor–cellsinteractions with endothelial cells in presence of antiangiogenesisdrug endostatin. The problem how to schedule a given amount of drugs to achieve a maximum reduction in thetumor volume is considered as an optimal control problem. For this purpose a nonlinear model predictive controller (NMPC)considering drug injection constraints is designed. NMPC originally developed in the community of industrial processcontrol, is a potentially effective approach to optimal schedulingof cancer therapy. Simulation results show that proposed control method can be effectively reduced tumor volume with considering drug injection constraints.

Keywords:

Tumor Growth , Nonlinear Model Predictive Control , Cancer Treatment , Anti-angiogenesis , Input Constraints