Synchronization in the Uncoupled Neuron System
ZHANG Ji-Qian** , HUANG Shou-Fang, PANG Si-Tao, WANG Mao-Sheng, GAO Sheng
College of Physics and Electronic Information, Anhui Normal University, Wuhu 241000
Abstract ：Using the model of Hindmarsh–Rose neurons, we study the synchronous behavior of the firing patterns in an uncoupled cell system. In this work, the membrane current Iext is selected as a controllable parameter, whose initial values for all N cells are set to be near one of the bifurcation points randomly. It is found that the system will show un-synchronous state when the external stimuli is absent, otherwise, full synchrony will appear, even though without any coupling connection among these N neurons, indicating the occurrence of uncoupled synchrony. Moreover, similar behavior could also be observed when these neurons are set to be near other bifurcation points. The synchronous error is calculated for discussing this uncoupled synchrony behavior. Finally, we find that such synchrony may have some inherent relevance with the decrease of phase difference between different cells. Our results suggest that biological neuron systems may achieve an effective response to external feeble stimulus by the mode of uncoupled synchrony instead of only by the coupled scheme.
收稿日期: 2015-09-06
出版日期: 2016-01-05
:
05.45.Xt
(Synchronization; coupled oscillators)
05.40.-a
(Fluctuation phenomena, random processes, noise, and Brownian motion)
68.35.Rh
(Phase transitions and critical phenomena)
87.17.Aa
(Modeling, computer simulation of cell processes)
87.15.Zg
(Phase transitions)
[1] Brette R 2012 PLoS Comput. Biol. 8 e1002561 2014 PLoS Comput. Biol. 10 e1003512 2011 Sci. Chin. Chem. 54 1498 2014 Chin. Phys. Lett. 31 050502 2013 Commun. Theor. Phys. 60 545 2014 Chin. Phys. Lett. 31 100501 2008 Chaos 18 043111 2014 Commun. Theor. Phys. 62 755 1996 Phys. Rev. Lett. 76 404 1991 Proc. Natl. Acad. Sci. USA 88 6048 1995 Nature 377 438 2011 PLoS ONE 6 e15851 2010 PLoS ONE 5 e12313 1995 Science 268 1353 2006 Neuron 52 155 2000 Phys. Rev. E 61 R1001 2010 PLoS Comput. Biol. 6 e1000934 2006 ChemPhysChem 7 579 2009 Biophys. Chem. 141 175 2012 PLoS Comput. Biol. 8 e1002384 2008 Commun. Theor. Phys. 50 903 2015 Int. J. Mod. Phys. B 29 1450239 2012 Europhys. Lett. 98 10003 2011 Phys. Rev. E 83 046207 2008 Europhys. Lett. 83 50008 2011 Neurocomputing 74 2961 2008 Physica A 387 2155 2013 Phys. Rev. E 87 042713 2013 Chaos 23 033124 1989 Nature 338 334 2003 Phys. Rev. E 67 027201 2007 Chin. Phys. Lett. 24 3066 2007 Phys. Rev. Lett. 98 184101 1994 Philos. Trans. R. Soc. B 346 129
[1]
.
[2]
.
[3]
.
[4]
.
[5]
.
[6]
.
[7]
.
[8]
.
[9]
.
[10]
.
[11]
.
[12]
.
[13]
.
[14]
.
[15]
.
2015, Vol. 32 
