Mathematical analysis of cancer chemotherapy

✍ Scribed by Shui-Nan Chuang; Harris H. Lloyd

• Publisher: Springer
• Year: 1975
• Tongue: English
• Weight: 815 KB
• Volume: 37
• Category: Article
• ISSN: 1522-9602
• DOI: 10.1016/s0092-8240(75)80022-x

✦ Synopsis

This paper presents a mathematical analysis of a tumor model first proposed by Skipper and Zubrod. The tumor model is comprised of three compartments, a proliferative compartment, a nonproliferative but viable compartment, and a dead compartment. By the suitable selection of functions describing loss of cells from the proliferative and nonproliferative compartments, the model is capable of describing tumor behavior during periods of growth and drug treatment. The loss functions during treatment are related to pharmaeokinetie functions and may be chosen according to known drug properties. Tumor properties may be simulated by the appropriate choice of cell cycle parameters. It therefore seems feasible to simulate tumor behavior for scheduled treatment with chemotherapeutic agents. Another important result of this analysis is the derivation of a fraction labelled mitosis function which incorporates the nonproliferative compartments.