Paper Info
Title
Transition from spiral wave to target wave and other coherent structures in the networks of Hodgkin–Huxley neurons
Abstract
Transition of spiral wave in the regular networks of Hodgkin–Huxley (H–H) neurons is simulated and discussed in detail when the effect of membrane temperature and forcing current is considered. Neurons are distributed in the sites of two-dimensional array, neurons are connected with complete nearest-neighbor connections, no-flux boundary conditions, appropriate initial values and physiological parameters are used to develop a stable rotating spiral wave. A statistic factor of synchronization is defined to discuss the transition and development of spiral wave in the two parameters space (membrane temperature T and forcing current I), and it is found that spiral wave keeps alive due to positive current forcing and the spiral wave can be removed completely when the temperature is increased to a threshold about T=22.3°C at a fixed current intensity. Periodical forcing current is imposed on the networks of neurons globally and locally, respectively. It is found that spiral wave could be suppressed by the new generated traveling wave or target wave when periodical forcing current is imposed on the border of networks of neurons, and the most effective frequency of the external forcing current is close to the intrinsic frequency of the spiral wave of the networks.
Year
DOI
Venue
2010
10.1016/j.amc.2010.09.043
Applied Mathematics and Computation
Keywords
Field
DocType
Spiral wave,Target wave,Networks,Factor of synchronization,Hodgkin–Huxley
Boundary value problem,Synchronization,Positive current,Mathematical analysis,Spiral wave,Lagrangian coherent structures,Forcing (mathematics),Hodgkin–Huxley model,Physics,Effective frequency
Journal
Volume
Issue
ISSN
217
8
0096-3003
Citations 
PageRank 
References 
6
0.77
0
Authors
4
Name
Order
Citations
PageRank
Jun Ma16711.08
Chun-Ni Wang2324.18
Wuyin Jin3154.75
Ying Wu4195.40