Circadian rhythm in mammal based on phase synchronization

Expand
  • 1. College of Fundamental Studies, Shanghai University of Engineering Science, Shanghai 201620, China;
    2. Institute of Systems Biology, Shanghai University, Shanghai 200444, China;
    3. School of Communication and Information Engineering, Shanghai University Shanghai 200444, China

Received date: 2015-11-07

  Online published: 2017-04-30

Abstract

A collective rhythm emerges in suprachiasmatic nucleus (SCN) of mammals hypothalamus, controlling the central nervous system and peripheral tissues. To explore the emergence of circadian rhythms, a modified Kuramoto model of the SCN network is established, and its phase synchronization is analyzed. The results show that emergence of circadian rhythm is expressed by phase synchronization. The effect of parameters on order parameter is studied, showing agreements with biological facts. This study provides insights of the mechanism of circadian rhythm.

Cite this article

FAN Qingduan1,2, LIU Zengrong1,3 . Circadian rhythm in mammal based on phase synchronization[J]. Journal of Shanghai University, 2017 , 23(2) : 290 -297 . DOI: 10.3969/j.issn.1007-2861.2015.02.005

References

[1] Dagan Y. Circadian rhythm sleep disorders (CRSD) [J]. Sleep Medicine Reviews, 2002, 6(1): 45-54.
[2] Stephenson R. Circadian rhythms and sleep-related breathing disorders [J]. Sleep Medicine, 2007, 8(6): 681-687.
[3] Roopun A K, Kramer M A, Carracedo L M, et al. Period concatenation underlies interactions between gamma and beta rhythms in neocortex [J]. Frontiers in Cellular Neuroscience, 2008, 2(1): 1-8.
[4] Goodwin B C. Oscillatory behavior in enzymatic control processes [J]. Advances in Enzyme Regulation, 1965, 3: 425-438.
[5] Leloup J C, Goldbeter A. Toward a detailed computational model for the mammalian circadian clock [J]. Proceedings of the National Academy of Sciences, 2003, 100(12): 7051-7056.
[6] Forger D B, Peskin C S. A detailed predictive model of the mammalian circadian clock [J]. Proceedings of the National Academy of Sciences, 2003, 100(25): 14806-14811.
[7] Gonze D, Bernard S, Waltermann C, et al. Spontaneous synchronization of coupled circadian oscillators [J]. Biophysical Journal, 2005, 89(1): 120-129.
[8] Li Y, Liu Z R. Synchronization of clocks coupled by neurotransmitter in the SCN [J]. Journal of Biological Systems, 2013, 21(1): 1350006.
[9] Gu C G, Wang J X, Liu Z H. Free-running period of neurons in the suprachiasmatic nucleus: its dependence on the distribution of neuronal coupling strengths [J]. Physical Review E, 2009, 80(3): 030904.
[10] Ullner E, Buceta J, Diez-Noguera A, et al. Noise-induced coherence in multicellular circadian clocks [J]. Biophysical Journal, 2009, 96(9): 3573-3581.
[11] Blanter E M, Le Mouel J L, Shnirman M G, et al. Kuramoto model of nonlinear coupled oscillators as a way for understanding phase synchronization: application to solar and geomagnetic indices [J]. Solar Physics, 2014, 289(11): 4309-4333.
[12] Gu C G, Wang J X, Wang J, et al. Mechanism of phase splitting in two coupled groups of suprachiasmatic-nucleus neurons [J]. Physical Review E, 2011, 83(4): 046224.
[13] Zhang Y F, Xiao R B. Synchronization of Kuramoto oscillators in small-world networks [J]. Physica A, 2014, 416(3): 33-40.
[14] Arenas A, Diaz-Guilera A. Synchronization and modularity in complex networks [J]. The European Physical Journal Special Topics, 2007, 143(1): 19-25.
[15] Dorfler F, Bullo F. Synchronization in complex networks of phase oscillators: a survey [J]. Automatica, 2014, 50(6): 1539-1564.

[16] Daido H. Algebraic relaxation of an order parameter in randomly coupled limit-cycle oscillators [J]. Physical Review E, 2000, 61(2): 2145-2147.
[17] Meijer J H, Schwartz W J. In search of the pathways for light-induced pacemaker resetting in the suprachiasmatic nucleus [J]. Journal of Biological Rhythms, 2003, 18(3): 235-249.
[18] Li Y, Liu Z, Zhang J, et al. Synchronisation mechanisms of circadian rhythms in the suprachiasmatic nucleus [J]. IET Systems Biology, 2009, 3(2): 100-112.
[19] Yao Z, Shafer O T. The drosophila circadian clock is a variably coupled network of multiple peptidergic units [J]. Science, 2014, 343(6178): 1516-1520.
[20] Yamaguchi S, Isejima H, Matsuo T, et al. Synchronization of cellular clocks in the suprachiasmatic nucleus [J]. Science, 2003, 302(5649): 1408-1412.
[21] Freeman G M, Krock R M, Aton S J, et al. GABA networks destabilize genetic oscillations in the circadian pacemaker [J]. Neuron, 2013, 78(5): 799-806.
[22] Hafner M, Koeppl H, Gonze D. Effect of network architecture on synchronization and entrainment properties of the circadian oscillations in the suprachiasmatic nucleus [J]. PLoS Computational Biology, 2012, 8(3): e1002419.
[23] Honma S, Nakamura W, Shirakawa T, et al. Diversity in the circadian periods of single neurons of the rat suprachiasmatic nucleus depends on nuclear structure and intrinsic period [J]. Neuroscience Letters, 2004, 358(3): 173-176.

Outlines

/