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Control Theory Approach to Cancer Chemotherapy: Benefiting from Phase Dependence and Overcoming Drug Resistance

Part of the Lecture Notes in Mathematics book series (LNMBIOS,volume 1872)

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.

Keywords

  • Drug Resistance
  • Optimal Control Problem
  • Cancer Chemotherapy
  • Singular Control
  • Cell Cycle Kinetic

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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