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Nonlinear stochastic models of neurons activities

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TLDR
A new nonlinear evolution model of neuronal activities to obtain the average number density, which is used to describe neurocommunication among populations of neurons, is presented.
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This article is published in Neurocomputing.The article was published on 2003-04-01. It has received 34 citations till now.

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Journal ArticleDOI

Energy coding in biological neural networks

TL;DR: It is demonstrated that the neural coding produced by the activity of the brain is well described by the theory of energy coding, and the theory has very important consequences for quantitative research of cognitive function.
Journal ArticleDOI

Equilibrium analysis and phase synchronization of two coupled HR neurons with gap junction.

TL;DR: The properties of equilibria and phase synchronization involving burst synchronization and spike synchronization of two electrically coupled HR neurons are studied and it is revealed that in the non-delayed system the existence ofEquilibria can be turned into intersection of two odd functions, and two types of Equilibria with symmetry and non-symmetry can be found.
Journal ArticleDOI

Analysis of stability of neural network with inhibitory neurons

TL;DR: It is found that with increasing the coupling coefficients of inhibitory neural oscillators, the firing density in excitatory population transits to a critical state, and the balance value, enabling the firingdensity to reach the dynamic balance, does not depend on initial conditions.
Journal ArticleDOI

Phase Synchronization Motion and Neural Coding in Dynamic Transmission of Neural Information

TL;DR: The result of numerical simulation supports the existence of sparse coding within the brain, and verifies the crucial importance of the magnitudes of the coupling coefficients in neural information processing as well as the completely different information processing capability of neural information transmission in both serial and parallel couplings.
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Stochastic model and neural coding of large-scale neuronal population with variable coupling strength

TL;DR: Numerical simulations confirm that the higher the coupling level is, the larger the synchronization of neuronal population is, and the stronger the coupling strength is.
References
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Book

Principles of Brain Functioning: A Synergetic Approach to Brain Activity, Behavior and Cognition

Hermann Haken
TL;DR: This book presents a new understanding of brain activity as a complex self-organizing system with emergent properties that is elaborated upon by numerous explicit models based on and checked by detailed experiments on movement control, on various results on vision and on EEG and MEG analysis.
Book

Biophysical Thermodynamics of Intracellular Processes: Molecular Machines of the Living Cell

TL;DR: The main goal of as mentioned in this paper is to describe in physical terms the peculiar features of "machines" having molecular dimensions that play the principal role in the most important biological processes, such as energy transduction and enzyme catalysis.