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Optimal control study on Michaelis–Menten kinetics — A fractional version

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  • J., Kokila
  • M., Vellappandi
  • D., Meghana
  • V., Govindaraj

Abstract

Systems biology adopts a holistic approach and brings a whole new way of understanding complex biological systems where it becomes important to study the interactions within its components. This article is concerned with the analysis of Michaelis Menten kinetics in the sense of fractional derivatives which fills the gap in the existing literature. Further, the study extends with the optimal control. Thus aiming for better accuracy and understanding, the comparison of classical and fractional systems shall be examined through numerical illustrations. The basic study of chemical reaction networks with fractional derivative is discussed at the end with numerical results.

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  • 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.
    • Handle: RePEc:eee:matcom:v:210:y:2023:i:c:p:571-592
    DOI: 10.1016/j.matcom.2023.03.033
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    References listed on IDEAS

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    1. Qureshi, Sania & Aziz, Shaheen, 2020. "Fractional modeling for a chemical kinetic reaction in a batch reactor via nonlocal operator with power law kernel," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 542(C).
    2. Rachel A Hillmer, 2015. "Systems Biology for Biologists," PLOS Pathogens, Public Library of Science, vol. 11(5), pages 1-6, May.
    3. Marzban, Hamid Reza & Nezami, Atiyeh, 2022. "Analysis of nonlinear fractional optimal control systems described by delay Volterra–Fredholm integral equations via a new spectral collocation method," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    4. 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.
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