Cookies on this website
We use cookies to ensure that we give you the best experience on our website. If you click 'Continue' we'll assume that you are happy to receive all cookies and you won't see this message again. Click 'Find out more' for information on how to change your cookie settings.

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 field 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.

Type

Journal article

Journal

Math Biosci

Publication Date

03/2000

Volume

164

Pages

17 - 38

Keywords

Animals, Antineoplastic Agents, Cell Death, Cell Division, Computer Simulation, Drug Resistance, Neoplasm, Humans, Mice, Mice, Nude, Models, Biological, Vascular Neoplasms