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chemotherapy drug

Mathematical Modelling of Natural Phenomena (1)

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Delay Dynamics of Cancer and Immune Cell Model
D. Adongo, K.R. Fister
Journal:

Mathematical Modelling of Natural Phenomena / Volume 7 / Issue 1 / 2012

Published online by Cambridge University Press:

25 January 2012, pp. 261-278

Print publication:

2012
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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.