Abstract
Two major obstacles against successful chemotherapy of cancer are (1) cell-cycle-phase dependence of treatment, and (2) 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 of the cell cycle into subphases and/or the mechanisms of drug resistance. We review our results in mathematical modeling and control of the cell cycle and of the mechanisms of gene amplification (related to drug resistance), and estimation of parameters of the constructed models.
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© 2006 Springer-Verlag Berlin/Heidelberg
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Kimmel, M., Swierniak, A. (2006). Control Theory Approach to Cancer Chemotherapy: Benefiting from Phase Dependence and Overcoming Drug Resistance. In: Friedman, A. (eds) Tutorials in Mathematical Biosciences III. Lecture Notes in Mathematics, vol 1872. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11561606_5
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DOI: https://doi.org/10.1007/11561606_5
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-29162-6
Online ISBN: 978-3-540-32415-7
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