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A Logistic Model Of Periodic Chemotherapy, J. C. Panetta
A Logistic Model Of Periodic Chemotherapy, J. C. Panetta
Mathematics & Statistics Faculty Publications
A logistic differential equation with a time-varying periodic parameter is used to model the growth of cells, in particular cancer cells, in the presences of chemotherapeutic drugs. The chemotherapeutic effects are modeled by a periodic parameter that modifies the growth rate of the cell tissue. A negative growth rate represents the detrimental effects of the drugs. A simple criterion is obtained for the behavior of the chemotherapy.