IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v496y2018icp220-232.html
   My bibliography  Save this article

The maximum entropy production and maximum Shannon information entropy in enzyme kinetics

Author

Listed:
  • Dobovišek, Andrej
  • Markovič, Rene
  • Brumen, Milan
  • Fajmut, Aleš

Abstract

We demonstrate that the maximum entropy production principle (MEPP) serves as a physical selection principle for the description of the most probable non-equilibrium steady states in simple enzymatic reactions. A theoretical approach is developed, which enables maximization of the density of entropy production with respect to the enzyme rate constants for the enzyme reaction in a steady state. Mass and Gibbs free energy conservations are considered as optimization constraints. In such a way computed optimal enzyme rate constants in a steady state yield also the most uniform probability distribution of the enzyme states. This accounts for the maximal Shannon information entropy. By means of the stability analysis it is also demonstrated that maximal density of entropy production in that enzyme reaction requires flexible enzyme structure, which enables rapid transitions between different enzyme states. These results are supported by an example, in which density of entropy production and Shannon information entropy are numerically maximized for the enzyme Glucose Isomerase.

Suggested Citation

  • Dobovišek, Andrej & Markovič, Rene & Brumen, Milan & Fajmut, Aleš, 2018. "The maximum entropy production and maximum Shannon information entropy in enzyme kinetics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 496(C), pages 220-232.
    • Handle: RePEc:eee:phsmap:v:496:y:2018:i:c:p:220-232
    DOI: 10.1016/j.physa.2017.12.111
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437117313602
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2017.12.111?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Umberto Lucia, 2014. "The Gouy-Stodola Theorem in Bioenergetic Analysis of Living Systems (Irreversibility in Bioenergetics of Living Systems)," Energies, MDPI, vol. 7(9), pages 1-23, September.
    2. Markovič, Rene & Gosak, Marko & Marhl, Marko, 2014. "Broad-scale small-world network topology induces optimal synchronization of flexible oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 69(C), pages 14-21.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Secrest, J.A. & Conroy, J.M. & Miller, H.G., 2020. "A unified view of transport equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 547(C).
    2. Zhang, Xuguang & Shu, Xiaohu & He, Zhen, 2019. "Crowd panic state detection using entropy of the distribution of enthalpy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 935-945.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Lucia, Umberto, 2015. "Quanta and entropy generation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 115-121.
    2. Soriano-Sánchez, A.G. & Posadas-Castillo, C., 2018. "Smart pattern to generate small–world networks," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 415-422.
    3. Maino, Giuseppe & Lucia, Umberto, 2019. "A thermodynamic approach to the microclimate environment of museums," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 517(C), pages 66-72.
    4. Lucia, Umberto & Grisolia, Giulia, 2017. "Unavailability percentage as energy planning and economic choice parameter," Renewable and Sustainable Energy Reviews, Elsevier, vol. 75(C), pages 197-204.
    5. Biswal, Pratibha & Basak, Tanmay, 2017. "Entropy generation vs energy efficiency for natural convection based energy flow in enclosures and various applications: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 80(C), pages 1412-1457.
    6. Lucia, Umberto, 2016. "Second law considerations on the third law: From Boltzmann and Loschmidt paradox to non equilibrium temperature," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 121-128.
    7. Bor-Sen Chen & Xiangyun Lin & Weihai Zhang & Tianshou Zhou, 2018. "On the System Entropy and Energy Dissipativity of Stochastic Systems and Their Application in Biological Systems," Complexity, Hindawi, vol. 2018, pages 1-18, December.
    8. Lucia, Umberto & Ponzetto, Antonio & Deisboeck, Thomas S., 2016. "Investigating the impact of electromagnetic fields on human cells: A thermodynamic perspective," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 443(C), pages 42-48.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:496:y:2018:i:c:p:220-232. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.