Rhythm Synchronization of Coupled Neurons with Temporal Coding Scheme
SHI Xia1, LU Qi-Shao2
1School of Science, Beijing University of Posts and Telecommunications, Beijing 1008762School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083
Rhythm Synchronization of Coupled Neurons with Temporal Coding Scheme
SHI Xia1;LU Qi-Shao2
1School of Science, Beijing University of Posts and Telecommunications, Beijing 1008762School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083
摘要Encoding information by firing patterns is one of the basic neural functions, and synchronization is important collective behaviour of a group of coupled neurons. Taking account of two schemes for encoding information (that is, rate coding and temporal coding), rhythm synchronization of coupled neurons is studied. There are two types of rhythm synchronization of neurons: spike and burst synchronizations. Firstly, it is shown that the spike synchronization is equivalent to the phase synchronization for coupled neurons. Secondly, the similarity function of the slow variables of neurons, which have relevant to the bursting process, is proposed to judge the burst synchronization. It is also found that the burst synchronization can be achieved more easily than the spike synchronization, whatever the firing patterns of the neurons are. Hence the temporal encoding scheme, which is closely related to both the spike and burst synchronizations, is more comprehensive than the rate coding scheme in essence.
Abstract:Encoding information by firing patterns is one of the basic neural functions, and synchronization is important collective behaviour of a group of coupled neurons. Taking account of two schemes for encoding information (that is, rate coding and temporal coding), rhythm synchronization of coupled neurons is studied. There are two types of rhythm synchronization of neurons: spike and burst synchronizations. Firstly, it is shown that the spike synchronization is equivalent to the phase synchronization for coupled neurons. Secondly, the similarity function of the slow variables of neurons, which have relevant to the bursting process, is proposed to judge the burst synchronization. It is also found that the burst synchronization can be achieved more easily than the spike synchronization, whatever the firing patterns of the neurons are. Hence the temporal encoding scheme, which is closely related to both the spike and burst synchronizations, is more comprehensive than the rate coding scheme in essence.
SHI Xia;LU Qi-Shao. Rhythm Synchronization of Coupled Neurons with Temporal Coding Scheme[J]. 中国物理快报, 2007, 24(3): 636-639.
SHI Xia, LU Qi-Shao. Rhythm Synchronization of Coupled Neurons with Temporal Coding Scheme. Chin. Phys. Lett., 2007, 24(3): 636-639.
[1]Ferster D and Spruston N 1995 Science 270 756 [2]Stevens C and Zador A 1995 Curr. Biol 12 1370 [3]Rullen R V and Thorpe S J 2001 Neural Computation 13 1255 [4]Gray C M 1994 J. Comp. Neurosci. 11 11 [5]Mirollo R E and Strogatz S H 1990 SIAM J. Appl. Math.50 1645 [6]Dragoi V and Grosu I 1998 Neural Proc. Lett. 7 199 [7]Izhikevich E M 2001 SIAM Rev. 43 315 [8]Wang J, Deng B and Tsang K M 2004 Chaos, Solitons \& Fractals 22 469 [9]Shi X and Lu Q S 2005 Chin. Phys. 14 77 [10]Shi X and Lu Q S 2005 Chin. Phys. Lett. 22 547 [11]Shuai J W and Durand D M 1999 Phys. Lett. A 264 289 [12]Wang H X, Lu Q S and Wang Q Y 2005 Chin. Phys. Lett. 222173 [13]Wang Q Y and Lu Q S 2005 Chin. Phys. Lett. 22 543 [14]Han S K, Kurrer C and Kuramoto Y 1995 Phys. Rev. Lett.75 3190 [15]Wu Y, Xu J X, He D H and Earn D 2005 Chaos, Solitons \&{it Fractals 23 1605 [16]Bair W 1999 Curr. Opin. Neurobiol. 9 447 [17]Singer W 1999 Curr. Opin. Neurobiol. 9 189 [18]Hindmarsh J L and Rose R M 1982 Nature 296 162 [19]Hindmarsh J L and Rose R M 1984 Proc. R. Soc. Lond. B221 87 [20]Gautrais J and Thorpe S J 1998 Biosystems 48 57 [21]Yang Z Q and Lu Q S 2004 Chin. Phys. Lett. 21 2124