Special Issue on Analytic Modeling in Biology and MedicineNo Access

ON OPTIMAL CHEMOTHERAPY FOR HETEROGENEOUS TUMORS

Department of Mathematics and Statistics, Southern Illinois University Edwardsville, Edwardsville, Illinois, 62026-1653, USA

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and

HEINZ SCHÄTTLER

Department of Electrical and Systems Engineering, Washington University, St. Louis, Missouri, 63130-4899, USA

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https://doi.org/10.1142/S0218339014400014Cited by:16 (Source: Crossref)

Abstract

A mathematical model for cancer chemotherapy of heterogeneous tumor populations is considered as an optimal control problem with the objective to minimize the tumor burden over a prescribed therapy horizon. While an upfront maximum tolerated dose (MTD) regimen with rest-period has been confirmed as mathematically optimal for models when the tumor population is homogeneous, in the presence of partially sensitive or even resistant cells, protocols that administer the therapeutic agents at lower dose rates described by so-called singular controls become a viable alternative. In this paper, the structure of protocols that follow an initial upfront maximum dose treatment with reduced dose rate singular controls is investigated. Such protocols reflect structures which in the medical literature sometimes are called chemo-switch protocols.

Keywords:

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