Optimal Chemotherapy: A Case Study With Drug Resistance, Saturation Effect, And Toxicity

A system of differential equations for the control of tumour cell growth in a cyclenonspecific chemotherapy is presented. A rate-of-kill term of saturation type, drug resistance, and toxicity are taken into account in a class of optimal control problems. Some results are obtained for general tumour cell growth rates. A detailed analysis is presented for the Malthusian cell growth, which shows a variety of optimal treatments according to the values of the model parameters and initial tumour level. © 1994 Oxford University Press.111455