Title of article
Identification of a free energy functional in an integro-differential equation model for neuronal network activity Original Research Article
Author/Authors
D.A. French، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2004
Pages
5
From page
1047
To page
1051
Abstract
Neuronal activity in a synaptically-coupled network of excitatory and inhibitory neurons can be modeled by an integro-differential equation. Solutions to this equation represent cellular activity and are dependent on the neuronʹs spatial location and time. One area of interest to researchers has been the identification and analysis of stationary bump solutions which are steady states of the evolution problem. In this brief report, we furnish an energy functional. It is expected that this energy will be useful in analyzing the dynamic behavior of the system, finding steady states, studying the stability of these stationary solutions, and developing numerical methods.
Keywords
Neuronal networks , Bump solutions , Integro-differential equations , Energy functional
Journal title
Applied Mathematics Letters
Serial Year
2004
Journal title
Applied Mathematics Letters
Record number
897816
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