The Mathematical Institute, University of Oxford, Eprints Archive

Qualitative Analysis of an Integro-Differential Equation Model of Periodic Chemotherapy

Jain, H. V. and Byrne, H. M. (2012) Qualitative Analysis of an Integro-Differential Equation Model of Periodic Chemotherapy. Applied Maths Letters . (Submitted)

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Abstract

An existing model of tumor growth that accounts for cell cycle arrest and cell death induced by chemotherapy is extended to simulate the response to treatment of a tumor growing in vivo. The tumor is assumed to undergo logistic growth in the absence of therapy, and treatment is administered periodically rather than continuously. Necessary and sufficient conditions for the global stability of the cancer-free equilibrium are derived and conditions under which the system evolves to periodic solutions are determined.

Item Type:Article
Subjects:D - G > General
Research Groups:Oxford Centre for Collaborative Applied Mathematics
ID Code:1484
Deposited By:Peter Hudston
Deposited On:02 Mar 2012 07:48
Last Modified:02 Mar 2012 07:48

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