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Conflicting objectives in chemotherapy with drug resistance

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Abstract

A system of differential equations for the control of tumor cells growth in a cycle nonspecific chemotherapy is presented. Spontaneously acquired drug resistance is accounted for, as well as the evolution in time of normal cells. In addition, optimization of conflicting objectives forms the aim of the chemotherapeutic treatment. For general cell growth, some results are given, whereas for the special case of Malthusian (exponential) growth of tumor cells and rather general growth rate for normal cells, the optimal strategy is worked out. The latter, from the clinical standpoint, corresponds to maximum drug concentration throughout the treatment.

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Authors and Affiliations

  1. Laboratório Nacional de Computação Científica-CNPq, Rua Lauro Müller, 455, 22290-160, Rio de Janeiro, RJ, Brazil

    M. I. S. Costa

  2. Instituto de Matemática Estatística e Ciência da Computação, Universidade Estadual de Campinas, CP 6065, 13081-970, Campinas, SP, Brazil

    J. L. Boldrini

Authors
  1. M. I. S. Costa
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  2. J. L. Boldrini
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Costa, M.I.S., Boldrini, J.L. Conflicting objectives in chemotherapy with drug resistance. Bltn Mathcal Biology 59, 707–724 (1997). https://doi.org/10.1007/BF02458426

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  • DOI: https://doi.org/10.1007/BF02458426

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