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Mathematical Medicine and Biology 1997 14(4):283-303; doi:10.1093/imammb/14.4.283
© 1997 by Institute of Mathematics and its Applications
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The optimal scheduling of two drugs with simple resistance for a problem in cancer chemotherapy

J. M. Murray

School of Mathematics, University of New South Wales Sydney 2052, Australia

In this paper we study the effects of drug resistance on the optimal schedule of two drugs in cancer chemotherapy. We analytically determine the optimal schedule when the tumour grows exponentially and the drugs have a linear killing action. Drug resistance enters into the model via an effectiveness term that decreases the cell loss as the accumulation of the drug grows.

Keywords: cancer chemotherapy; drug resistance; optimal control


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