Journal Article

Therapy burden, drug resistance, and optimal treatment regimen for cancer chemotherapy

JOSÉ L. BOLDRINI and MICHEL I. S. COSTA

in Mathematical Medicine and Biology: A Journal of the IMA

Published on behalf of Institute of Mathematics and its Applications

Volume 17, issue 1, pages 33-51
Published in print January 2000 | ISSN: 1477-8599
Published online January 2000 | e-ISSN: 1477-8602 | DOI: http://dx.doi.org/10.1093/imammb/17.1.33
Therapy burden, drug resistance, and optimal treatment regimen for cancer chemotherapy

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Three nonlinear models of tumour cell growth under continuous delivery of cycle nonspecific anticancer agents are studied. A dynamical optimization problem with the objective of minimizing the final level of tumour cells is posed for these mathematical setups. The simplest setup does not possess toxicity constraints, whereas the other setups contain a dynamical equation describing the therapy burden as a toxicity criterion. In addition, the third setting contains the dynamics of drug resistant cells. A discussion conceming the optimal strategies of the respective models is performed.

Keywords: drug resistance; therapy burden; optimal control

Journal Article.  0 words. 

Subjects: Applied Mathematics ; Biomathematics and Statistics

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