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A stochastic model for the origin and treatment of tumors containing drug-resistant cells

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Abstract

A stochastic model for the chemotherapy of experimental tumors is presented. The focus of this model is on the presence of drug-resistant mutants and their influence on eventual treatment outcome. Equations are derived for the joint probability-generating function for the number of chemo-sensitive and chemo-resistant cells. The model is extended to two drugs and it is shown how the model may be used to make deductions regarding the optimum scheduling of therapy.

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Authors and Affiliations

  1. Biometry Section, Division of Epidemiology, Biometry and Occupational Oncology, Cancer Control Agency of British Columbia, 600 West 10th Avenue, V5Z 4E6, Vancouver, B.C., Canada

    A. J. Coldman

  2. Division of Medical Oncology, Cancer Control Agency of British Columbia, 600 West 10th Avenue, V5Z 4E6, Vancouver, B.C., Canada

    J. H. Goldie

Authors
  1. A. J. Coldman
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  2. J. H. Goldie
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Coldman, A.J., Goldie, J.H. A stochastic model for the origin and treatment of tumors containing drug-resistant cells. Bltn Mathcal Biology 48, 279–292 (1986). https://doi.org/10.1007/BF02459682

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