- Access by Xinjiang University
Entrainment range of the suprachiasmatic nucleus affected by the difference in the neuronal amplitudes between the light-sensitive and light-insensitive regions
Phys. Rev. E 95, 042409 – Published 25 April, 2017
DOI: https://doi.org/10.1103/PhysRevE.95.042409
Abstract
Mammals not only can be synchronized to the natural 24-h light-dark cycle, but also to a cycle with a non-24-h period. The range of the period of the external cycle, for which the animals can be entrained to, is called the entrainment range, which differs among species. The entrainment range as a characteristic of the animal is determined by the main circadian clock, i.e., the suprachiasmatic nucleus (SCN) in the brain. The SCN is composed of heterogeneous neurons, which can be divided into two subgroups, i.e., the ventrolateral subgroup (VL) directly receiving the light information from the retina and relaying the information to the dorsomedial subgroup (DM). Among the SCN neurons, the amplitudes are different; however, it is unclear that the amplitude is related to the location of the neurons in experiments. In the present study, we examined the effect of the difference in the neuronal amplitude between the VL and the DM on the entrainment range of the SCN, based on a mathematical model, i.e., the Poincaré model, which is used to describe the circadian clock. We find that the maximal entrainment range is obtained when the difference is equal to a critical point. If the difference of the amplitudes of the VL neurons to the amplitudes of the DM neurons is smaller than a critical point, with the increase of the difference, the entrainment range of the SCN increases, while if the difference is larger than the critical point, the entrainment range decreases with the increase of the difference. Our finding may give a potential explanation for the diversity of the entrainment range among species.
Physics Subject Headings (PhySH)
Article Text
References (37)
- C. S. Pittendrigh, Annu. Rev. Physiol. 55, 17 (1993).
- R. Refinetti, Circadian Physiology (CRC Press, Boca Raton, 2006).
- U. Abraham, A. E. Granada, P. O. Westermark, Ma. Heine, A. Kramer, and H. Herzel, Mol. Syst. Biol. 6, 438 (2010).
- C. Gu, J. Xu, Z. Liu, and J. H. T. Rohling, Phys. Rev. E 88, 022702 (2013).
- J. Aschoff and H. Pohl, Naturwissenschaften 65, 80 (1978).
- D. K. Welsh, J. S. Takahashi, and S. A. Kay, Annu. Rev. Physiol. 72, 551 (2010).
- C. A. Czeisler et al., Science 284, 2177 (1999).
- H. Daido, Phys. Rev. Lett. 87, 048101 (2001).
- C. Gu, J. Wang, and Z. Liu, Phys. Rev. E 80, 030904 (2009).
- C. Gu, J. H. T. Rohling, X. Liang, and H. Yang, Phys. Rev. E 93, 032414 (2016).
- D. K. Welsh, D. E. Logothetis, M. Meister, and S. M. Reppert, Neuron 14, 697 (1995).
- S. Honma, W. Nakamura, T. Shirakawa, and K. Honma, Neurosci. Lett. 358, 173 (2004).
- H. O. de la Iglesia, T. Cambras, W. J. Schwartz, and A. Díez-Noguera, Curr. Biol. 14, 796 (2004).
- H. S. Lee, J. L. Nelms, M. Nguyen, R. Silver, and M. N. Lehman, Nat. Neurosci. 6, 111 (2003).
- J. H. T. Rohling, H. T. vanderLeest, S. Michel, M. J. Vansteensel, and J. H. Meijer, PLoS ONE 6, e25437 (2011).
- C. Gu, A. Ramkisoensing, Z. Liu, J. H. Meijer, and J. H. Rohling, J. Biol. Rhythms 29, 16 (2014).
- T. Hamada, J. LeSauter, J. M. Venuti, and R. Silver, J. Neurosci. 21, 7742 (2001).
- A. B. Webb, Nikhil Angelo, J. E. Huettner, and Erik D. Herzog, Proc. Natl. Acad. Sci. USA 106, 16493 (2009).
- S. Yamaguchi, H. Isejima, T. Matsuo, R. Okura, K. Yagita, M. Kobayashi, and H. Okamura, Science 302, 1408 (2003).
- S. J. Aton, C. S. Colwell, A. J. Harmar, J. Waschek, and E. D. Herzog, Nat. Neurosci. 8, 476 (2005).
- L. P. Morin, J. Biol. Rhythms 22, 3 (2007).
- H. Albus, M. J. Vansteensel, S. Michel, G. D. Block, and J. H. Meijer, Curr. Biol. 15, 886 (2005).
- Y. Li and Z. Liu, Physica A (Amsterdam) 457, 62 (2016).
- C. Gu, M. Tang, and Huijie Yang, Sci. Rep. 6, 28878 (2016).
- P. O. Westermark et al., PLoS Comput. Biol. 5, e1000580 (2009).
- A. B. Webb et al., PLoS Comput. Biol. 8, e1002787 (2012).
- C. Bodenstein, M. Gosak, S. Schuster, M. Marhl, and M. Perc, PLoS Comput. Biol. 8, e1002697 (2012).
- C. Gu and H. Yang, Chaos 26, 053112 (2016).
- D. Gonze, S. Bernard, C. Waltermann, A. Kramer, and H. Herzel, Biophys. J. 89, 120 (2005).
- J. C. Locke, P. O. Westermark, A. Kramer, and H. Herzel, BMC Syst. Biol. 2, 22 (2008).
- C. Gu, M. Tang, J. H. T. Rohling, and H. Yang, Sci. Rep. 6, 37661 (2016).
- A. Balanov, N. Janson, D. Postnov, and O. Sosnovtseva, Synchronization: From Simple to Complex (Springer-Verlag, New York, 2009).
- G. Bordyugov, U. Abraham, A. Granada, P. Rose, K. Imkeller, A. Kramer, and H. Herzel, J. R. Soc. Interface 12, 20150282 (2015).
- A. E. Granada, G. Bordyugov, A. Kramer, and H. Herzel, PLoS ONE 8, e59464 (2013).
- J. K. Kim, Z. P. Kilpatrick, M. R. Bennett, and K. Josić, Biophys. J. 106, 2071 (2014).
- J. K. Kim, IET Syst. Biol. 10, 125 (2016).
- C. Gu, H. Yang, and J. H. T. Rohling, Phys. Rev. E 95, 032302 (2017).