Jain, H. V. and Byrne, H. M. (2012) Qualitative Analysis of an Integro-Differential Equation Model of Periodic Chemotherapy. Applied Maths Letters . (Submitted)
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.
|Subjects:||D - G > General|
|Research Groups:||Oxford Centre for Collaborative Applied Mathematics|
|Deposited By:||Peter Hudston|
|Deposited On:||02 Mar 2012 07:48|
|Last Modified:||29 May 2015 19:10|
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