Document Type

Article

Publication Date

1995

DOI

10.1016/0893-9659(95)00053-s

Publication Title

Applied Mathematics Letters

Volume

8

Issue

4

Pages

83-86

Abstract

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.

Comments

Elsevier open archive. Copyright © 1995 Published by Elsevier Ltd. All rights reserved.

Original Publication Citation

Panetta, J. C. (1995). A logistic model of periodic chemotherapy. Applied Mathematics Letters, 8(4), 83-86. doi:10.1016/0893-9659(95)00053-s

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