This paper deals with a number of ideas which may be applicable when investigating the
use of modern optimal control theory to certain cancer chemotherapy problems. A new …

In this work we propose an application of the optimal control theory to the planning of tumor
treatments. The tumor growth is represented by a system of three differential equations that …

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 …

Cancer chemotherapy is the treatment of cancer using drug that kills the malignant cancer
cells (tumours). In chemotherapy, the drug is delivered according to a schedule which …

In this article, four different mathematical models of chemotherapy from the literature are
investigated with respect to optimal control of drug treatment schedules. The various models …

The biologically based model due to Cox and co-workers is used in this study of a cancer
chemotherapy problem involving the continuos delivery of an anticancer drug. A perfomance …

A system of differential equations for the control of tumor cells growth in a cycle nonspecific
chemotherapy is presented. First-order drug kinetics and drug resistance are taken into …

In this article, four different mathematical models of chemotherapy from the literature are
investigated with respect to optimal control of drug treatment schedules. The various models …

A new optimal control model of chemotherapeutic cancer treatment is presented including
both the number of cancer cells and the level of toxicity as state variables. It is shown that …

This optimal control model of cancer chemotherapy constructs drug schedules that most
effectively reduce the size of a tumour after a fixed period of treatment has elapsed. A …