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Computational and Mathematical Methods in Medicine
Volume 2014, Article ID 174274, 10 pages
Research Article

The Effect of Inhibitory Neuron on the Evolution Model of Higher-Order Coupling Neural Oscillator Population

1Institute for Cognitive Neurodynamics, East China University of Science and Technology, Shanghai 200237, China
2School of Mathematics, Hefei University of Technology, Hefei 230009, China

Received 17 September 2013; Accepted 30 October 2013; Published 2 January 2014

Academic Editor: Jinde Cao

Copyright © 2014 Yi Qi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We proposed a higher-order coupling neural network model including the inhibitory neurons and examined the dynamical evolution of average number density and phase-neural coding under the spontaneous activity and external stimulating condition. The results indicated that increase of inhibitory coupling strength will cause decrease of average number density, whereas increase of excitatory coupling strength will cause increase of stable amplitude of average number density. Whether the neural oscillator population is able to enter the new synchronous oscillation or not is determined by excitatory and inhibitory coupling strength. In the presence of external stimulation, the evolution of the average number density is dependent upon the external stimulation and the coupling term in which the dominator will determine the final evolution.