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1 2004

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Using control theory to make cancer chemotherapy beneficial from phase dependence and resistant to drug resistance

Kimmel M., Świerniak A.

Archives of Control Sciences

2004

Vol. 14, no. 2

105-145

Two major obstacles against successful chemotheraphy of cancer are (1) the cell-cycle-phase dependence of treatment, and (2) the emergence of resistance of cancer cells to cytotoxic agents. One way to understand and overcome these two problems is to apply optimal control theory to mathematical models of cell cycle dynamics. These models should include division og the cell cycle into subphase and/or the mechanisms of drug resistance. we review our relevant results in mathematical modelling and control of the cell cycle and the mechanisms of gene amplification, and estimation of parameters of the constructed models.