Acute leukemia and chemotherapy: a modeling viewpoint.
A couple of models of acute myeloblastic leukemia (AML) are proposed. Normal and leukemic cells are assumed to exist side-by-side with the two cell populations obeying Gompertzian dynamics but with the leukemic cells exercising inhibition over the normal cells. The kinetic equations and steady-state properties of one of the models is analytically obtained. Possible situations of detection or nondetection of malignancy are then discussed. Based on the models of AML, a treatment model is proposed and numerically simulated. Consequently, the option of aggressive treatment of the disease with heavy doses of drugs is shown to be a plausible and worthwhile chemotherapeutic strategy.
Afenya
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Department of Mathematics, Elmhurst College, Illinois 60126, USA.
D000970:Antineoplastic Agents / Q000627:therapeutic use*; D002455:Cell Division / Q000187:drug effects; D006801:Humans; D007700:Kinetics; D015470:Leukemia, Myeloid, Acute / Q000188:drug therapy* / Q000473:pathology; D008433:Mathematics; D008954:Models, Biological
D000970:Antineoplastic Agents