A mathematical tumor model with immune resistance and drug therapy: An optimal control approach.
de Pillis, L.G., Radunskaya, A. (2001)
Journal of Theoretical Medicine
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de Pillis, L.G., Radunskaya, A. (2001)
Journal of Theoretical Medicine
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Zarei, H., Kamyad, A.V., Farahi, M.H. (2011)
Computational & Mathematical Methods in Medicine
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D. Adongo, K.R. Fister (2012)
Mathematical Modelling of Natural Phenomena
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We investigate optimal control of a cancer-immune cell interactive model with delay in the interphase compartment. By applying the optimal control theory, we seek to minimize the cost associated with the chemotherapy drug, minimize the accumulation of cancer cells, and increase the immune cell presence. Optimality conditions and characterization of the control are provided. Numerical analyses are given to enhance the understanding of the ...
Jarosław Śmieja, Andrzej Świerniak (2003)
International Journal of Applied Mathematics and Computer Science
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This paper presents an analysis of some class of bilinear systems that can be applied to biomedical modelling. It combines models that have been studied separately so far, taking into account both the phenomenon of gene amplification and multidrug chemotherapy in their different aspects. The mathematical description is given by an infinite dimensional state equation with a system matrix whose form allows decomposing the model into two interacting subsystems. While the first one, of a...