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Delay Dynamics of Cancer and Immune Cell Model

Published online by Cambridge University Press:  25 January 2012

D. Adongo  and
K.R. Fister
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Abstract

We investigate optimal control of a cancer-immune cell interactive model with delay inthe interphase compartment. By applying the optimal control theory, we seek to minimizethe cost associated with the chemotherapy drug, minimize the accumulation of cancer cells,and increase the immune cell presence. Optimality conditions and characterization of thecontrol are provided. Numerical analyses are given to enhance the understanding of thedifficulties that occur in the control of cancer.

Keywords

optimal controlchemotherapy drugcancer cells
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 7 , Issue 1: Cancer modeling , 2012 , pp. 261 - 278
Copyright
© EDP Sciences, 2012

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