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A stochastic model for the origin and treatment of tumors containing drug-resistant cells. (English) Zbl 0613.92006
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.

MSC:
92C50 Medical applications (general)
60K99 Special processes
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