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A Study Of Spatial Dynamics Of Neuronal Network

Posted on:2010-12-12Degree:MasterType:Thesis
Country:ChinaCandidate:Y Y LiFull Text:PDF
GTID:2120360278467725Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
Electronic activity is one of the important that the physiological function of nervous system such as neural coding is realized. The state of electronic activity of nervous system is close related to neural coding. Nonlinear differential equations are employed to describe the electronic activity as its nonlinearity. Nonlinear dynamics has played important roles in the studies about electronic activity of nervous system. In neuronal network level, the spatiotemporal behavior and dynamics such as spiral wave, synchronization and spatial resonance have been attracted much attention.In the following investigation, using bifurcation theory and numerical simulation, synchronization of neural networks composed of 2 or 3 neurons, and the multiple spatial coherence resonance and spatially ordered spiral wave in large scale of neural network. Bursting synchronization is simulated in neuronal network composed of two or three neurons inhibitory coupling mode by calculation of the synchronization error and bifurcation diagram of inter-spike interval. Spatial coherence resonance and ordered spatial patterns can be induced in the large scale neuronal network under the driven of a control signal with random amplitude. Spatial coherence resonance can be induced twice or multiple time with increasing density of the stochastic control signal by calculation of signal to noise ratio from the structure function of the spiral wave. Accordingly, the dynamical nature of real neuronal firing activities is revealed in order to give a meaning guidance to the observation and analysis of more neuronal firing activities.
Keywords/Search Tags:Neuron, coherence resonance, spiral wave
PDF Full Text Request
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