Abstract
In mammals, the master circadian pacemaker is considered the suprachiasmatic nucleus (SCN) of the hypothalamus. Individual cellular clocks in SCN, the circadian center, are integrated into a stable and robust pacemaker with a period length of about 24 hours, which are remarkably accurate at timing biological events despite the randomness of their biochemical reactions. In this paper, we study the effect of the Light-Dark cycle and environment noise on the daily rhythms of mammals and give some numerical analysis. The results show that the environment noise makes for phase synchronization but it can not make the oscillators get phase synchronization with period of 24-h. On the contrary, the threshold of the strength of light that makes the oscillators to get the phase synchronization with period of 24-h with environment noise is larger than that in the case without environment noise.
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References
Reppert, S.M., Weaver, D.R.: Coordination of circadian timing in mammals. Nature 418, 935–941 (2002)
Moore, R.Y., Speh, J.C., Leak, R.K.: Suprachiasmatic nucleus organizarion. Cell Tissue Res 309, 89–98 (2002)
Welsh, D.K., Logothetis, D.E., Meister, M., Reppert, S.M.: Individual neurons dissociated from rat suprachiasmatic nucleus express independently phased circadian firing rhythms. Neuron 14, 697–706 (1995)
Honma, S., Nakamura, W., Shirakawa, T., Honma, K.: Diversity in the circadian periods of single neurons of the rat suprachiasmatic nucleus on nuclear structure and intrinsic period. Neurosci. Lett. 358, 173–176 (2004)
Goodwin, B.C.: Oscillatory behavior in enzymatic control processes. Adv. Enzyme Regul. 3, 425–438 (1965)
Leloup, J., Gonze, C.D., Goldbeter, A.: Limit cycle models for circadian rhythms based on thanscriptional regulation in Drosophila and Neurospora. J. Bilo. Rhy. 14, 433–448 (1999)
Rouff, P., Rensing, L.: The temperature-conpensated Goodwin model simulates many circadian clock properties. J. Theor. Biol. 179, 275–285 (1996)
Rouff, P., Vinsjevik, M., Monnerjahn, C., Rensing, L.: The Goodwin model: simulating the effect of light pulses on the circadian sporulation rhythm of Neurospora crassa. J. Theor. Biol. 209, 29–42 (2001)
Didier, G., Bernard, S., Waltermann, C., Kramer, A., Herzel, H.: Spontaneous synchronization of coupled circadian oscillators. Biophysical J. 89, 120–129 (2005)
Li, Y., Zhang, J.B., Liu, Z.R.: Circadian oscillators and phase synchronization under a light-dark cycle. Int. J. Nonlinear Science. 1(3), 131–138 (2006)
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Li, Y., Zhang, J., Liu, Z. (2007). Phase Synchronization of Circadian Oscillators Induced by a Light-Dark Cycle and Extracellular Noise. In: Li, K., Li, X., Irwin, G.W., He, G. (eds) Life System Modeling and Simulation. LSMS 2007. Lecture Notes in Computer Science(), vol 4689. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74771-0_1
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DOI: https://doi.org/10.1007/978-3-540-74771-0_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-74770-3
Online ISBN: 978-3-540-74771-0
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