Modeling Neural Systems with a Group of Dissipative Rotators

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Safaee Sirat, Amin | 2019

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 52253 (04)
University: Sharif University of Technology
Department: Physics
Advisor(s): Moghimi-Araghi, Saman
Abstract:
Neural systems are the threshold ones. It means if the electrical potential passed through a specific amount then they could spike and cause the activity of other cells. The models that really mimic the action of neurons are usually complicated and are not suitable when you put them on a network to study the collective behavior of the neurons. Simple threshold models have been designed for such purposes. One on most studied ones is the ’integrate and fire’ model, in which cells integrate the inputs until the threshold potential and then spike. usually, a network of these objects are simulated and different properties of such network are investigated.However, this model has some shortcomings and the somehow correspond to type II neurons. Here we consider another simple model for neurons, namely the rotators which are dynamical systems defines on the circle topology. They correspond to type I neurons. We have put these rotators on different networks and found different phases of the system by applying different parameter. In particular, we have shown that the network can undertake synchronized or un-synchronized firings depending on the external and internal strength of stimulation
Keywords:
Neuron ; Neural Network ; Dissipative Rotator ; Synchronisation ; Criticality ; Activity ; Collective Behavior