We consider an optimal control problem of the Mayer-type for a single-input, control affine,
nonlinear system in small dimension. In this paper, we analyze effects that a modeling …

A new optimal control model of the interactions between a growing tumour and the host
immune system, along with an immunotherapy treatment strategy, is presented. The model …

A discussion on controlled drug delivery in cancer immunotherapy is presented in this
paper. A fifth-order model is adopted to describe the dynamics of the tumor–immune …

Currently, cancer is one of the leading causes of death in industrial nations. While
conventional cancer treatment usually results in the patient suffering from severe side …

In this work, we demonstrate a mathematical technique for optimizing combination regimens
with constraints. We apply the technique to a mathematical model for treatment of patients …

Cancer immunotherapy aims at stimulating the immune system to react against cancer
stealth capabilities. It consists of repeatedly injecting small doses of a tumor-associated …

In this paper a new mathematical model is developed for the dynamics between tumor cells,
normal cells, immune cells, CHEMOTHERAPY drug concentration and drug toxicity. Then …

This paper deals with the problem of estimating the regions of attraction (or Safe regions) of
two well-known nonlinear tumor growth models by redefining each model as a set of …

The main motivation for this work is to determine the optimal dosage and duration for cancer
chemotherapy that minimizes tumor cell number, treatment side effects, and therapy cost …

Optimal control for combination therapy in cancer Page 1 Optimal Control for Combination
Therapy in Cancer Urszula Ledzewicz Dept. of Math. and Statistics, Southern Illinois University …