Mathematical Models of Dynamic Behavior of Individual Neural Networks of Central Nervous System

Dimitra-Despoina Pagania, Adam V. Adamopoulos, SPIRIDON D. LIKOTHANASSIS · International Journal of Systems Biology and Biomedical Technologies · 2012

In this paper, the authors present mathematical models that describe individual neural networks of the Central Nervous System. Three cases are examined, varying in each case the values of the refractory period and the synaptic delay of a neuron. In the case where both the refractory period and the synaptic delay are bigger than one, the authors split the population of neurons into sub-groups with their own distinct synaptic delay. The proposed approach describes the neural regime of the network efficiently, especially in the case mentioned. Various examples with different network parameters are presented to investigate the network’s behavior.

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