Cancer chemotherapy with immunostimulation: a nonhomogeneous stochastic model for drug resistance. I. One drug case.
In this paper we develop a nonhomogeneous stochastic model for drug resistance in chemotherapy that permits killing resistant cells with immunostimulation. The probability distribution of the number of resistant tumor cells, the probability of no resistant tumor cells, and the expected value and cumulants of the number of resistant tumor cells are derived under very general conditions. The application of these results is illustrated with some numerical examples.
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D000276:Adjuvants, Immunologic / Q000627:therapeutic use; D000970:Antineoplastic Agents / Q000627:therapeutic use; D016923:Cell Death; D004351:Drug Resistance; D008954:Models, Biological; D009369:Neoplasms / Q000188:drug therapy* / Q000628:therapy; D011336:Probability; D013269:Stochastic Processes
D000276:Adjuvants, Immunologic; D000970:Antineoplastic Agents