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.

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

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