Synchronous firing patterns of neuronal population with excitatory and inhibitory connections |
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Authors: | Xianfa Jiao Rubin Wang |
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Institution: | a Department of Mathematics, Hefei University of Technology, Hefei 230009, China b Institute for Brain Information Processing and Cognitive Neurodynamics, School of Information Science and Engineering, East China University of Science and Technology, 130 Meilong Road, Shanghai 200237, China |
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Abstract: | A stochastic model of neuronal population with excitatory and inhibitory connections is proposed, where excitatory synaptic dynamics is considered. Oscillatory synchronized firing patterns of a neuronal population by means of firing density are investigated. Numerical simulations using Fokker-Planck equation show that slow inhibitory connection contributes to oscillatory synchronized firing of the neuronal population, and synchronous activity is enhanced due to inhibitory connection. The effect of time delay on the oscillatory synchronized firing in the neuronal population using phase mode is explored. Numerical simulation indicates that short synaptic transmission delay can suppress oscillatory synchronized firing, but this suppression is instable. |
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Keywords: | Synchronization Inhibitory neuron Fokker-Planck equation Firing density Population activity |
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