caa a22 4500 397500041 CHVBK 20180308164530.0 cr unu---uuuuu 161202s1995 xx s 000 0 eng 10.1093/imammb/12.1.55 doi (NATIONALLICENCE)oxford-10.1093/imammb/12.1.55 MURRAY J. M. School of Mathematics, University of New South Wales, Sydney, NSW 2052, Australia An example of the effects of drug resistance on the optimal schedule for a single drug in cancer chemotherapy [Elektronische Daten] [J. M. MURRAY] In this paper the authors study the effects of drug resistance on the optimal drug schedule of a single drug in cancer chemotherapy. The optimal schedule is analytically determined when the tumour grows exponentially and the drug has 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. It is found that the optimal schedule is one where the drug is given at its maximum feasible dose from the onset, with some difference at the end of treatment depending on the relative speeds with which resistance develops. © Oxford University Press Articles nationallicence cancer chemotherapy nationallicence drug resistance nationallicence optimal control nationallicence Mathematical Medicine and Biology Oxford University Press 12/1(1995), 55-69 1477-8599 12:1<55 1995 12 imammb https://doi.org/10.1093/imammb/12.1.55 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1093/imammb/12.1.55 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- MURRAY J. M. School of Mathematics, University of New South Wales, Sydney, NSW 2052, Australia NATIONALLICENCE 773 0- Mathematical Medicine and Biology Oxford University Press 12/1(1995), 55-69 1477-8599 12:1<55 1995 12 imammb Metadata rights reserved CC BY-NC-4.0 http://creativecommons.org/licenses/by-nc/4.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-oxford