Statistical Mechanics of The Neocortex

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Moosavi, Ali | 2015

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 55637 (02)
University: Sharif University of Technology
Department: Mathematical Sciences
Advisor(s): Bahraini, Alireza
Abstract:
In this paper, the field theory tools will be used to study none-equilibrium statistical processes and eventually analyze the dynamic of the neocortex. Assuming the neocortex is Markovian, a model is proposed which contains fluctuations of the neuron activities as well as response to the stimulations. The experimental data shows that the fluctuation and correlation have a vital impact on the dynamics of the cortex, and many of its characteristics can only be justified by it.The paper will study the model that considers correlations and fluctuations to reach a more accurate evaluation of the cortex than the mean field approximation
Keywords:
Statistical Mechanics ; Scaling Law ; Criticality ; Field Theory ; Neocortex Dynamic ; Neuron

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