IDEAS home Printed from https://ideas.repec.org/a/plo/pone00/0225988.html
   My bibliography  Save this article

Time optimal entrainment control for circadian rhythm

Author

Listed:
  • A Agung Julius
  • Jiawei Yin
  • John T Wen

Abstract

The circadian rhythm functions as a master clock that regulates many physiological processes in humans including sleep, metabolism, hormone secretion, and neurobehavioral processes. Disruption of the circadian rhythm is known to have negative impacts on health. Light is the strongest circadian stimulus that can be used to regulate the circadian phase. In this paper, we consider the mathematical problem of time-optimal circadian (re)entrainment, i.e., computing the lighting schedule to drive a misaligned circadian phase to a reference circadian phase as quickly as possible. We represent the dynamics of the circadian rhythm using the Jewett-Forger-Kronauer (JFK) model, which is a third-order nonlinear differential equation. The time-optimal circadian entrainment problem has been previously solved in settings that involve either a reduced-order JFK model or open-loop optimal solutions. In this paper, we present (1) a general solution for the time-optimal control problem of fastest entrainment that can be applied to the full order JFK model (2) an evaluation of the impacts of model reduction on the solutions of the time-optimal control problem, and (3) optimal feedback control laws for fastest entrainment for the full order Kronauer model and evaluate their robustness under some modeling errors.

Suggested Citation

  • A Agung Julius & Jiawei Yin & John T Wen, 2019. "Time optimal entrainment control for circadian rhythm," PLOS ONE, Public Library of Science, vol. 14(12), pages 1-30, December.
    • Handle: RePEc:plo:pone00:0225988
    DOI: 10.1371/journal.pone.0225988
    as

    Download full text from publisher

    File URL: https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0225988
    Download Restriction: no
    File URL: https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0225988&type=printable
    Download Restriction: no
    File URL: https://libkey.io/10.1371/journal.pone.0225988?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
    ---><---

    Citations

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


    Cited by:

    1. Jiawei Yin & A Agung Julius & John T Wen, 2021. "Optimization of light exposure and sleep schedule for circadian rhythm entrainment," PLOS ONE, Public Library of Science, vol. 16(6), pages 1-28, June.
    2. Jim Parker & Claire O’Brien & Jason Hawrelak & Felice L. Gersh, 2022. "Polycystic Ovary Syndrome: An Evolutionary Adaptation to Lifestyle and the Environment," IJERPH, MDPI, vol. 19(3), pages 1-25, January.
    3. Jiawei Yin & Agung Julius & John T. Wen & Zhen Wang & Chuanlin He & Lei Kou, 2022. "Human Alertness Optimization with a Three-Process Dynamic Model," Mathematics, MDPI, vol. 10(11), pages 1-19, June.
    4. Samuel Christensen & Yitong Huang & Olivia J Walch & Daniel B Forger, 2020. "Optimal adjustment of the human circadian clock in the real world," PLOS Computational Biology, Public Library of Science, vol. 16(12), pages 1-18, December.

    More about this item

    Statistics

    Access and download statistics

    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:plo:pone00:0225988. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: plosone (email available below). General contact details of provider: https://journals.plos.org/plosone/ .

    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.