›› 2014, Vol. 23 ›› Issue (10): 108703-108703.doi: 10.1088/1674-1056/23/10/108703

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇    下一篇

Plasticity-induced characteristic changes of pattern dynamics and the related phase transitions in small-world neuronal networks

黄旭辉, 胡岗   

  1. Department of Physics, Beijing Normal University, Beijing 100875, China
  • 收稿日期:2014-05-13 修回日期:2014-08-20 出版日期:2014-10-15 发布日期:2014-10-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11135001 and 11174034).

Plasticity-induced characteristic changes of pattern dynamics and the related phase transitions in small-world neuronal networks

Huang Xu-Hui (黄旭辉), Hu Gang (胡岗)   

  1. Department of Physics, Beijing Normal University, Beijing 100875, China
  • Received:2014-05-13 Revised:2014-08-20 Online:2014-10-15 Published:2014-10-15
  • Contact: Hu Gang E-mail:ganghu@bnu.edu.cn
  • About author:87.19.lp; 87.19.lw; 87.15.Zg; 87.19.lj
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11135001 and 11174034).

摘要: Phase transitions widely exist in nature and occur when some control parameters are changed. In neural systems, their macroscopic states are represented by the activity states of neuron populations, and phase transitions between different activity states are closely related to corresponding functions in the brain. In particular, phase transitions to some rhythmic synchronous firing states play significant roles on diverse brain functions and disfunctions, such as encoding rhythmical external stimuli, epileptic seizure, etc. However, in previous studies, phase transitions in neuronal networks are almost driven by network parameters (e.g., external stimuli), and there has been no investigation about the transitions between typical activity states of neuronal networks in a self-organized way by applying plastic connection weights. In this paper, we discuss phase transitions in electrically coupled and lattice-based small-world neuronal networks (LBSW networks) under spike-timing-dependent plasticity (STDP). By applying STDP on all electrical synapses, various known and novel phase transitions could emerge in LBSW networks, particularly, the phenomenon of self-organized phase transitions (SOPTs): repeated transitions between synchronous and asynchronous firing states. We further explore the mechanics generating SOPTs on the basis of synaptic weight dynamics.

关键词: spatiotemporal pattern, self-organized phase transition, small-world neuronal network, spike-timing-dependent plasticity

Abstract: Phase transitions widely exist in nature and occur when some control parameters are changed. In neural systems, their macroscopic states are represented by the activity states of neuron populations, and phase transitions between different activity states are closely related to corresponding functions in the brain. In particular, phase transitions to some rhythmic synchronous firing states play significant roles on diverse brain functions and disfunctions, such as encoding rhythmical external stimuli, epileptic seizure, etc. However, in previous studies, phase transitions in neuronal networks are almost driven by network parameters (e.g., external stimuli), and there has been no investigation about the transitions between typical activity states of neuronal networks in a self-organized way by applying plastic connection weights. In this paper, we discuss phase transitions in electrically coupled and lattice-based small-world neuronal networks (LBSW networks) under spike-timing-dependent plasticity (STDP). By applying STDP on all electrical synapses, various known and novel phase transitions could emerge in LBSW networks, particularly, the phenomenon of self-organized phase transitions (SOPTs): repeated transitions between synchronous and asynchronous firing states. We further explore the mechanics generating SOPTs on the basis of synaptic weight dynamics.

Key words: spatiotemporal pattern, self-organized phase transition, small-world neuronal network, spike-timing-dependent plasticity

中图分类号:  (Pattern formation: activity and anatomic)

  • 87.19.lp
87.19.lw (Plasticity) 87.15.Zg (Phase transitions) 87.19.lj (Neuronal network dynamics)