IDEAS home Printed from https://ideas.repec.org/a/spr/dyngam/v10y2020i1d10.1007_s13235-019-00315-1.html
   My bibliography  Save this article

Jet Lag Recovery: Synchronization of Circadian Oscillators as a Mean Field Game

Author

Listed:
  • René Carmona

    (Princeton University)

  • Christy V. Graves

    (Princeton University)

Abstract

A mean field game is proposed for the synchronization of oscillators facing conflicting objectives. Our motivation is to offer an alternative to recent attempts to use dynamical systems to illustrate some of the idiosyncrasies of jet lag recovery. Our analysis is driven by two goals: (1) to understand the long time behavior of the oscillators when an individual remains in the same time zone, and (2) to quantify the costs from jet lag recovery when the individual has traveled across time zones. Finite difference schemes are used to find numerical approximations to the mean field game solutions. They are benchmarked against explicit solutions derived for a special case. Numerical results are presented and conjectures are formulated. The numerics suggest that the cost the oscillators accrue while recovering is larger for eastward travel which is consistent with the widely admitted wisdom that jet lag is worse after traveling east than west.

Suggested Citation

  • René Carmona & Christy V. Graves, 2020. "Jet Lag Recovery: Synchronization of Circadian Oscillators as a Mean Field Game," Dynamic Games and Applications, Springer, vol. 10(1), pages 79-99, March.
    • Handle: RePEc:spr:dyngam:v:10:y:2020:i:1:d:10.1007_s13235-019-00315-1
    DOI: 10.1007/s13235-019-00315-1
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s13235-019-00315-1
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s13235-019-00315-1?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. Huibing Yin & Prashant Mehta & Sean Meyn & Uday Shanbhag, 2014. "On the Efficiency of Equilibria in Mean-Field Oscillator Games," Dynamic Games and Applications, Springer, vol. 4(2), pages 177-207, June.
    2. Steven M. Reppert & David R. Weaver, 2002. "Coordination of circadian timing in mammals," Nature, Nature, vol. 418(6901), pages 935-941, August.
    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. Paolo Dai Pra & Elena Sartori & Marco Tolotti, 2023. "Polarization and Coherence in Mean Field Games Driven by Private and Social Utility," Journal of Optimization Theory and Applications, Springer, vol. 198(1), pages 49-85, July.

    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. Francesco Riganello & Valeria Prada & Andres Soddu & Carol di Perri & Walter G. Sannita, 2019. "Circadian Rhythms and Measures of CNS/Autonomic Interaction," IJERPH, MDPI, vol. 16(13), pages 1-11, July.
    2. Purificación Gómez-Abellán & Antoni Díez-Noguera & Juan A Madrid & Juan A Luján & José M Ordovás & Marta Garaulet, 2012. "Glucocorticoids Affect 24 h Clock Genes Expression in Human Adipose Tissue Explant Cultures," PLOS ONE, Public Library of Science, vol. 7(12), pages 1-10, December.
    3. Nguyen, Ha Trong & Zubrick, Stephen R. & Mitrou, Francis, 2024. "The effects of sleep duration on child health and development," Journal of Economic Behavior & Organization, Elsevier, vol. 221(C), pages 35-51.
    4. Qiang Bao & Di Liu & Yujiao Guo & Wang Gu & Zhengfeng Cao & Yu Zhang & Yang Zhang & Qi Xu & Guohong Chen, 2023. "Melatonin Secretion in Regulating the Circadian Rhythms of Reproduction in Goose ( Anser cygnoides )," Agriculture, MDPI, vol. 13(8), pages 1-16, August.
    5. Francisco J Sánchez Muniz & Cristina Simón Martín, 2017. "Clock Genes, Chronodisruption, Nutrition and Obesity," Current Research in Diabetes & Obesity Journal, Juniper Publishers Inc., vol. 3(2), pages 1-62:3, July.
    6. Henson, Michael A., 2013. "Multicellular models of intercellular synchronization in circadian neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 50(C), pages 48-64.
    7. Andrew E. Warfield & Pooja Gupta & Madison M. Ruhmann & Quiana L. Jeffs & Genevieve C. Guidone & Hannah W. Rhymes & McKenzi I. Thompson & William D. Todd, 2023. "A brainstem to circadian system circuit links Tau pathology to sundowning-related disturbances in an Alzheimer’s disease mouse model," Nature Communications, Nature, vol. 14(1), pages 1-17, December.
    8. Cheng-Kang Chiang & Neel Mehta & Abhilasha Patel & Peng Zhang & Zhibin Ning & Janice Mayne & Warren Y L Sun & Hai-Ying M Cheng & Daniel Figeys, 2014. "The Proteomic Landscape of the Suprachiasmatic Nucleus Clock Reveals Large-Scale Coordination of Key Biological Processes," PLOS Genetics, Public Library of Science, vol. 10(10), pages 1-15, October.
    9. Li, Ying & Liu, Zengrong, 2015. "Dynamical mechanism of Bmal1/Rev-erbα loop in circadian clock," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 430(C), pages 126-135.
    10. Sumedha W Karmarkar & Kathleen M Bottum & Stacey L Krager & Shelley A Tischkau, 2011. "ERK/MAPK Is Essential for Endogenous Neuroprotection in SCN2.2 Cells," PLOS ONE, Public Library of Science, vol. 6(8), pages 1-13, August.
    11. Valerie L Harbour & Yuval Weigl & Barry Robinson & Shimon Amir, 2013. "Comprehensive Mapping of Regional Expression of the Clock Protein PERIOD2 in Rat Forebrain across the 24-h Day," PLOS ONE, Public Library of Science, vol. 8(10), pages 1-14, October.
    12. 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.
    13. Michal Dudek & Dharshika R. J. Pathiranage & Beatriz Bano-Otalora & Anna Paszek & Natalie Rogers & Cátia F. Gonçalves & Craig Lawless & Dong Wang & Zhuojing Luo & Liu Yang & Farshid Guilak & Judith A., 2023. "Mechanical loading and hyperosmolarity as a daily resetting cue for skeletal circadian clocks," Nature Communications, Nature, vol. 14(1), pages 1-12, December.
    14. David H. Sarrazin & Wilf Gardner & Carole Marchese & Martin Balzinger & Chockalingam Ramanathan & Marion Schott & Stanislav Rozov & Maxime Veleanu & Stefan Vestring & Claus Normann & Tomi Rantamäki & , 2024. "Prefrontal cortex molecular clock modulates development of depression-like phenotype and rapid antidepressant response in mice," Nature Communications, Nature, vol. 15(1), pages 1-17, December.
    15. Jing Wang & Haibo Di & Steven Laureys & Nantu Hu, 2018. "Circadian Rhythm of Patients with Disorders of Consciousness," Open Access Journal of Neurology & Neurosurgery, Juniper Publishers Inc., vol. 9(3), pages 60-61, November.
    16. Yan-Ying Wang & Wei-Wei Ma & I-Feng Peng, 2020. "Screening of sleep assisting drug candidates with a Drosophila model," PLOS ONE, Public Library of Science, vol. 15(7), pages 1-17, July.
    17. Hyeri Nam & Younghwan Lee & Boil Kim & Ji-Won Lee & Seohyeon Hwang & Hyun-Kyu An & Kyung Min Chung & Youngjin Park & Jihyun Hong & Kyungjin Kim & Eun-Kyoung Kim & Han Kyoung Choe & Seong-Woon Yu, 2022. "Presenilin 2 N141I mutation induces hyperactive immune response through the epigenetic repression of REV-ERBα," Nature Communications, Nature, vol. 13(1), pages 1-18, December.
    18. Li, Ying & Liu, Zengrong, 2016. "Coupling mechanism in the gate and oscillator model of the SCN," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 457(C), pages 62-72.
    19. Valerie L Harbour & Yuval Weigl & Barry Robinson & Shimon Amir, 2014. "Phase Differences in Expression of Circadian Clock Genes in the Central Nucleus of the Amygdala, Dentate Gyrus, and Suprachiasmatic Nucleus in the Rat," PLOS ONE, Public Library of Science, vol. 9(7), pages 1-9, July.
    20. Tanida, Sakurako, 2022. "The synchronization of elevators when not all passengers will ride the first-arriving elevator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 605(C).

    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:spr:dyngam:v:10:y:2020:i:1:d:10.1007_s13235-019-00315-1. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.