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We consider a classical space-clamped Hodgkin-Huxley model neuron stimulated by synaptic excitation and inhibition with conductances represented by Ornstein-Uhlenbeck processes. Using numerical solutions of the stochastic model system…

Neurons and Cognition · Quantitative Biology 2016-04-19 Henry C. Tuckwell , Susanne Ditlevsen

We model the coherent energy transfer of an electronic excitation within covalently linked aromatic homodimers from first-principles, to answer whether the usual models of the bath calculated via detailed electronic structure calculations…

Chemical Physics · Physics 2015-06-03 John Parkhill , David Tempel , Alan Aspuru-Guzik

Many physical, chemical and biological systems can be modeled by means of random-frequency harmonic oscillator systems. Even though the noise-free evolution of harmonic oscillator systems can be easily implemented, the way to experimentally…

Classical Physics · Physics 2014-07-11 R. de J. León-Montiel , J. Svozilík , Juan P. Torres

We study the spike statistics of neurons in a network with dynamically balanced excitation and inhibition. Our model, intended to represent a generic cortical column, comprises randomly connected excitatory and inhibitory leaky…

Neurons and Cognition · Quantitative Biology 2007-05-23 Alexander Lerchner , Cristina Ursta , John Hertz , Mandana Ahmadi , Pauline Ruffiot

Determining how synaptic coupling within and between regions is modulated during sensory processing is an important topic in neuroscience. Electrophysiological recordings provide detailed information about neural spiking but have…

Neurons and Cognition · Quantitative Biology 2018-02-07 Andrea K. Barreiro , Shree Hari Gautam , Woodrow L. Shew , Cheng Ly

As the limits of traditional von Neumann computing come into view, the brain's ability to communicate vast quantities of information using low-power spikes has become an increasing source of inspiration for alternative architectures. Key to…

Neurons and Cognition · Quantitative Biology 2020-12-02 Emily Toomey , Ken Segall , Matteo Castellani , Marco Colangelo , Nancy Lynch , Karl K. Berggren

Local periodic perturbations induce frequency-dependent propagation waves in an excitable spatio-temporally chaotic system. We show how segments of noise-contaminated and chaotic perturbations induce characteristic sequences of excitations…

Chaotic Dynamics · Physics 2009-11-10 Gerold Baier , Markus Muller

The effect of a high-frequency signal on the FitzHugh-Nagumo excitable model is analyzed. We show that the firing rate is diminished as the ratio of the high-frequency amplitude to its frequency is increased. Moreover, it is demonstrated…

Statistical Mechanics · Physics 2016-08-16 David Cubero , José Pablo Baltanás , Jesús Casado-Pascual

We present a novel methodology to enable control of a neuromorphic circuit in close analogy with the physiological neuromodulation of a single neuron. The methodology is general in that it only relies on a parallel interconnection of…

Neurons and Cognition · Quantitative Biology 2020-11-19 Luka Ribar , Rodolphe Sepulchre

We study the influence of correlations among discrete stochastic excitatory or inhibitory inputs on the response of the FitzHugh-Nagumo neuron model. For any level of correlation the emitted signal exhibits at some finite noise intensity a…

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

Spike-sorting techniques attempt to classify a series of noisy electrical waveforms according to the identity of the neurons that generated them. Existing techniques perform this classification ignoring several properties of actual neurons…

Quantitative Methods · Quantitative Biology 2007-05-23 Christophe Pouzat

For energy-efficient computation in specialized neuromorphic hardware, we present spiking neural coding, an instantiation of a family of artificial neural models grounded in the theory of predictive coding. This model, the first of its…

Neural and Evolutionary Computing · Computer Science 2022-08-09 Alexander Ororbia

We demonstrate the existence of noise-induced periodicity (coherence resonance) in both a discrete-time model and a continuous-time model of an excitable neuron. In particular, we show that the effects of noise added to the fast and slow…

Neurons and Cognition · Quantitative Biology 2009-11-10 Robert C. Hilborn , Rebecca J. Erwin

We examine the effects of stochastic input currents on the firing behavior of two excitable neurons coupled with fast excitatory synapses. In such cells (models), typified by the quadratic integrate and fire model, mutual synaptic coupling…

Neurons and Cognition · Quantitative Biology 2007-07-31 Boris S. Gutkin , Juergen Jost , Henry C. Tuckwell

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

Neuro-inspired models and systems have great potential for applications in unconventional computing. Often, the mechanisms of biological neurons are modeled or mimicked in simulated or physical systems in an attempt to harness some of the…

Neural and Evolutionary Computing · Computer Science 2021-10-18 Jørgen Jensen Farner , Håkon Weydahl , Ruben Jahren , Ola Huse Ramstad , Stefano Nichele , Kristine Heiney

We study patterns of partial synchronization in a network of FitzHugh-Nagumo oscillators with empirical structural connectivity measured in human subjects. We report the spontaneous occurrence of synchronization phenomena that closely…

Adaptation and Self-Organizing Systems · Physics 2021-02-03 M. Gerster , R. Berner , J. Sawicki , A. Zakharova , A. Škoch , J. Hlinka , K. Lehnertz , E. Schöll

Spiking neural networks aim to emulate the brain's properties to achieve similar parallelism and high-processing power. A caveat of these neural networks is the high computational cost to emulate, while current proposals for analogue…

We investigate the effect of electric synapses (gap junctions) on collective neuronal dynamics and spike statistics in a conductance-based Integrate-and-Fire neural network, driven by a Brownian noise, where conductances depend upon spike…

Biological Physics · Physics 2017-07-26 Rodrigo Cofré , Bruno Cessac

The nervous system represents time-dependent signals in sequences of discrete action potentials or spikes, all spikes are identical so that information is carried only in the spike arrival times. We show how to quantify this information, in…

Condensed Matter · Physics 2008-02-03 S. P. Strong , Roland Koberle , Rob R. de Ruyter van Steveninck , William Bialek
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