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Related papers: Channel Noise Effects on Neural Synchronization

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We study the time delay in the synaptic conductance for suppression of spike synchronisation in a random network of Hodgkin Huxley neurons coupled by means of chemical synapses. In the first part, we examine in detail how the time delay…

Neurons and Cognition · Quantitative Biology 2022-10-19 Matheus Hansen , Paulo R. Protachevicz , Kelly C. Iarosz , Ibere L. Caldas , Antonio M. Batista , Elbert E. N. Macau

Voltage-dependent ion channels determine the electric properties of axonal cell membranes. They not only allow the passage of ions through the cell membrane but also contribute to an additional charging of the cell membrane resulting in the…

Neurons and Cognition · Quantitative Biology 2009-11-13 G. Schmid , I. Goychuk , P. Hanggi

We consider signal transaction in a simple neuronal model featuring intrinsic noise. The presence of noise limits the precision of neural responses and impacts the quality of neural signal transduction. We assess the signal transduction…

Biological Physics · Physics 2015-03-17 Michael J. Barber , Manfred L. Ristig

One of the most celebrated successes in computational biology is the Hodgkin-Huxley framework for modeling electrically active cells. This framework, expressed through a set of differential equations, synthesizes the impact of ionic…

Neurons and Cognition · Quantitative Biology 2015-05-28 Joshua H. Goldwyn , Eric Shea-Brown

First spike latency following stimulus onset is of significant physiological relevance. Neurons transmit information about their inputs by transforming them into spike trains, and the timing of these spike trains is in turn crucial for…

Biological Physics · Physics 2014-03-27 Rukiye Uzun , Mahmut Ozer , Matjaz Perc

The functional significance of correlations between action potentials of neurons is still a matter of vivid debates. In particular it is presently unclear how much synchrony is caused by afferent synchronized events and how much is…

Neurons and Cognition · Quantitative Biology 2013-04-09 Matthias Schultze-Kraft , Markus Diesmann , Sonja Grün , Moritz Helias

We analyze the response of the Hodgkin-Huxley neuron to a large number of uncorrelated stochastic inhibitory and excitatory post-synaptic spike trains. In order to clarify the various mechanisms responsible for noise-induced spike…

Disordered Systems and Neural Networks · Physics 2007-05-23 Alessandro Torcini , Stefano Luccioli , Thomas Kreuz

The effect of intrinsic channel noise is investigated for the dynamic response of a neuronal cell with a delayed feedback loop. The loop is based on the so-called autapse phenomenon in which dendrites establish not only connections to…

Biological Physics · Physics 2014-12-22 Yunyun Li , Gerhard Schmid , Peter Hanggi , Lutz Schimansky-Geier

The stochastic opening and closing of voltage-gated ion channels produces noise in neurons. The effect of this noise on the neuronal performance has been modelled using either approximate or Langevin model, based on stochastic differential…

Neurons and Cognition · Quantitative Biology 2015-05-14 B. Sengupta , S. B. Laughlin , J. E. Niven

To learn and reason in the presence of uncertainty, the brain must be capable of imposing some form of regularization. Here we suggest, through theoretical and computational arguments, that the combination of noise with synchronization…

Neurons and Cognition · Quantitative Biology 2013-12-06 Jake Bouvrie , Jean-Jacques Slotine

Synchronization is studied in a spatially-distributed network of weekly-coupled, excitatory neurons of Hodgkin-Huxley type. All neurons are coupled to each other synaptically with a fixed time delay and a coupling strength inversely…

Soft Condensed Matter · Physics 2007-05-23 Yuqing Wang , Z. D. Wang , Y. -X. Li , X. Pei

Neurons in the central nervous system are affected by complex and noisy signals due to fluctuations in their cellular environment and in the inputs they receive from many other cells 1,2. Such noise usually increases the probability that a…

Neurons and Cognition · Quantitative Biology 2008-05-06 Boris S. Gutkin , Juergen Jost , Henry C. Tuckwell

The presence of noise in non linear dynamical systems can play a constructive role, increasing the degree of order and coherence or evoking improvements in the performance of the system. An example of this positive influence in a biological…

Dynamical Systems · Mathematics 2016-09-07 M. -P. Zorzano , L. Vazquez

The cooperative behavior of neurons and neuronal areas associated with the synchronization behavior proves to be a fundamental neural mechanism. In addition, abnormal levels of synchronization have been related to unhealthy neural…

Biological Physics · Physics 2023-11-16 Bruno R. R. Boaretto

Spatial coherence resonance in a spatially extended system that is locally modeled by Hodgkin-Huxley (HH) neurons is studied in this paper. We focus on the ability of additive temporally and spatially uncorrelated Gaussian noise to extract…

Chaotic Dynamics · Physics 2008-04-21 Xiaojuan Sun , Matjaz Perc , Qishao Lu , Jürgen Kurths

This work proposes a two-dimensional electrophysiological model for describing neuronal responses to external electric stimuli under patch-clamped conditions. Our proposed model successfully captures the key features of the Hodgkin-Huxley…

Neurons and Cognition · Quantitative Biology 2023-12-13 Lízia Maria Gonçalves Branco , Rui Manuel Agostinho Dilão

The activity generated by an ensemble of neurons is affected by various noise sources. It is a well-recognised challenge to understand the effects of noise on the stability of such networks. We demonstrate that the patterns of activity…

Analysis of PDEs · Mathematics 2022-05-19 Jose A. Carrillo , Helge Holden , Susanne Solem

Learning and decision making in the brain are key processes critical to survival, and yet are processes implemented by non-ideal biological building blocks which can impose significant error. We explore quantitatively how the brain might…

Neurons and Cognition · Quantitative Biology 2011-04-19 Jake Bouvrie , Jean-Jacques Slotine

Neurons in the visual cortex are correlated in their variability. The presence of correlation impacts cortical processing because noise cannot be averaged out over many neurons. In an effort to understand the functional purpose of…

Machine Learning · Computer Science 2018-04-04 Shamak Dutta , Bryan Tripp , Graham Taylor

The generation and conduction of action potentials represents a fundamental means of communication in the nervous system, and is a metabolically expensive process. In this paper, we investigate the energy efficiency of neural systems in a…

Neurons and Cognition · Quantitative Biology 2014-04-23 Lianchun Yu , Liwei Liu