Journal
MATHEMATICAL BIOSCIENCES
Volume 164, Issue 1, Pages 17-38Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/S0025-5564(99)00062-0
Keywords
mathematical model; vascular tumors; chemotherapy
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A mathematical model is developed that describes the reduction in volume of a vascular tumor in response to specific chemotherapeutic administration strategies. The model consists of a system of partial differential equations governing intratumoral drug concentration and cancer cell density. In the model the tumor is treated as a continuum of two types of cells which differ in their proliferation rates and their responses to the chemotherapeutic agent. The balance between cell proliferation and death within the tumor generates a velocity held which drives expansion or regression of the spheroid. Insight into the tumor's response to therapy is gained by applying a combination of analytical and numerical techniques to the model equations. (C) 2000 Elsevier Science Inc. All rights reserved.
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