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Application of Optimal Control techniques and Advanced Computing to the study of enzyme kinetics

Author

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  • Bersani, Alberto Maria
  • Carlini, Elisabetta
  • Lanucara, Piero
  • Rorro, Marco
  • Ruggiero, Vittorio

Abstract

In this paper we show some applications of Advanced and Parallel Computing to the study of mathematical models in Systems Biology and in particular of the network of biochemical reactions occurring inside a cell. Due to their high complexity, the numerical study of these systems must be approached by means of sophisticated Advanced Computing tools. In a deterministic framework, we show two examples of application of Optimal Control techniques to the study of the effects of a drug on enzyme reactions occurring inside a cell, where “ad-hoc” algorithms for the numerical solution of the Hamilton–Jacobi–Bellman equation are used in a parallel environment.

Suggested Citation

  • Bersani, Alberto Maria & Carlini, Elisabetta & Lanucara, Piero & Rorro, Marco & Ruggiero, Vittorio, 2010. "Application of Optimal Control techniques and Advanced Computing to the study of enzyme kinetics," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(3), pages 705-716.
    • Handle: RePEc:eee:matcom:v:81:y:2010:i:3:p:705-716
    DOI: 10.1016/j.matcom.2010.09.010
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    References listed on IDEAS

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    1. O. Slaby & S. Sager & O. S. Shaik & U. Kummer & D. Lebiedz, 2007. "Optimal control of self-organized dynamics in cellular signal transduction," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 13(5), pages 487-502, October.
    2. Pedersen, Morten Gram & Bersani, Alberto M. & Bersani, Enrico & Cortese, Giuliana, 2008. "The total quasi-steady-state approximation for complex enzyme reactions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(4), pages 1010-1019.
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    Cited by:

    1. J., Kokila & M., Vellappandi & D., Meghana & V., Govindaraj, 2023. "Optimal control study on Michaelis–Menten kinetics — A fractional version," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 210(C), pages 571-592.

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