Bulletin of Mathematical Biology

, Volume 48, Issue 3–4, pp 279–292 | Cite as

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

  • A. J. Coldman
  • J. H. Goldie


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.


Stem Cell Resistant Cell Transitional Cell Stem Cell Compartment Stem Cell Division 
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Copyright information

© Society for Mathematical Biology 1986

Authors and Affiliations

  • A. J. Coldman
    • 1
  • J. H. Goldie
    • 2
  1. 1.Biometry Section, Division of Epidemiology, Biometry and Occupational OncologyCancer Control Agency of British ColumbiaVancouverCanada
  2. 2.Division of Medical OncologyCancer Control Agency of British ColumbiaVancouverCanada

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