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Spike generation in neurons produces a temporal point process, whose statistics is governed by intrinsic phenomena and the external incoming inputs to be coded. In particular, spike-evoked adaptation currents support a slow temporal process…

Neurons and Cognition · Quantitative Biology 2016-10-31 Eugenio Urdapilleta

Numerical investigations have been made of responses of a Hodgkin-Huxley (HH) neuron to spike-train inputs whose interspike interval (ISI) is modulated by deterministic, semi-deterministic (chaotic) and stochastic signals. As deterministic…

Disordered Systems and Neural Networks · Physics 2009-10-31 Hideo Hasegawa

In sensory neurons the presence of noise can facilitate the detection of weak information-carrying signals, which are encoded and transmitted via correlated sequences of spikes. Here we investigate relative temporal order in spike sequences…

Neurons and Cognition · Quantitative Biology 2016-10-12 Jose A. Reinoso , M. C. Torrent , Cristina Masoller

Responses have been numerically studied of an ensemble of $N$ (=1, 10, and 100) Hodgkin-Huxley (HH) neurons to coherent spike-train inputs applied with independent Poisson spike-train (ST) noise and Gaussian white noise. Three interrelated…

Disordered Systems and Neural Networks · Physics 2007-05-23 Hideo Hasegawa

A common way of studying the relationship between neural activity and behavior is through the analysis of neuronal spike trains that are recorded using one or more electrodes implanted in the brain. Each spike train typically contains…

Applications · Statistics 2011-04-15 Mengxin Li , Wei-Liem Loh

Estimating the degree of synchrony or reliability between two or more spike trains is a frequent task in both experimental and computational neuroscience. In recent years, many different methods have been proposed that typically compare the…

Biological Physics · Physics 2012-12-11 Thomas Kreuz , Julie S. Haas , Alice Morelli , Henry D. I. Abarbanel , Antonio Politi

Model calculations have been performed on the spike-train response of a pair of Hodgkin-Huxley (HH) neurons coupled by recurrent excitatory-excitatory couplings with time delay. The coupled, excitable HH neurons are assumed to receive the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Hideo Hasegawa

The mutual information between stimulus and spike-train response is commonly used to monitor neural coding efficiency, but neuronal computation broadly conceived requires more refined and targeted information measures of input-output joint…

Neurons and Cognition · Quantitative Biology 2015-04-21 Sarah E. Marzen , Michael R. DeWeese , James P. Crutchfield

Neurons perform computations, and convey the results of those computations through the statistical structure of their output spike trains. Here we present a practical method, grounded in the information-theoretic analysis of prediction, for…

Neurons and Cognition · Quantitative Biology 2022-03-18 Robert Haslinger , Kristina Lisa Klinkner , Cosma Rohilla Shalizi

Measures of multiple spike train synchrony are essential in order to study issues such as spike timing reliability, network synchronization, and neuronal coding. These measures can broadly be divided in multivariate measures and averages…

Neurons and Cognition · Quantitative Biology 2012-12-11 T. Kreuz , D. Chicharro , R. G. Andrzejak , J. S. Haas , H. D. I. Abarbanel

We construct a model that predicts the statistical properties of spike trains generated by a sensory neuron. The model describes the combined effects of the neuron's intrinsic properties, the noise in the surrounding, and the external…

Biological Physics · Physics 2009-10-31 N. Brenner , O. Agam , W. Bialek , R. de Ruyter van Steveninck

We study the statistical physics of a surprising phenomenon arising in large networks of excitable elements in response to noise: while at low noise, solutions remain in the vicinity of the resting state and large-noise solutions show…

Adaptation and Self-Organizing Systems · Physics 2020-04-01 Jonathan D. Touboul , Charlotte Piette , Laurent Venance , G. Bard Ermentrout

A computational theory for classification of natural biosonar targets is developed based on the properties of an example stimulus ensemble. An extensive set of echoes (84 800) from four different foliages was transcribed into a spike code…

Biological Physics · Physics 2007-05-23 Rolf Mueller

Neurons encode and transmit information in spike sequences. However, despite the effort devoted to quantify their information content, little progress has been made in this regard. Here we use a nonlinear method of time-series analysis…

Neurons and Cognition · Quantitative Biology 2020-02-19 Cristian Estarellas , Maria Masoliver , Cristina Masoller , Claudio Mirasso

Numerical calculations have been made on the spike-train response of a pair of Hodgkin-Huxley (HH) neurons coupled by synapses and axons with time delay. The recurrent excitatory-excitatory, inhibitory-inhibitory, excitatory-inhibitory, and…

Disordered Systems and Neural Networks · Physics 2007-05-23 Hideo Hasegawa

Sensory systems pass information about an animal's environment to higher nervous system units through sequences of action potentials. When these action potentials have essentially equivalent waveforms, all information is contained in the…

Other Quantitative Biology · Quantitative Biology 2007-05-23 Henry D. I. Abarbanel , Sachin Talathi

Interspike intervals describe the output of neurons. Signal transmission in a neuronal network implies that the output of some neurons becomes the input of others. The output should reproduce the main features of the input to avoid a…

Probability · Mathematics 2022-09-29 Petr Lansky , Federico Polito , Laura Sacerdote

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

We present a first-order non-homogeneous Markov model for the interspike-interval density of a continuously stimulated spiking neuron. The model allows the conditional interspike-interval density and the stationary interspike-interval…

Neurons and Cognition · Quantitative Biology 2012-08-15 J. Tapson , C. Jin , A. van Schaik , R. Etienne-Cummings

Statistical properties of spike trains measured from a sensory neuron in-vivo are studied experimentally and theoretically. Experiments are performed on an identified neuron in the visual system of the blowfly. It is shown that the spike…

Biological Physics · Physics 2007-05-23 N. Brenner , O. Agam , W. Bialek , R. de Ruyter van Steveninck
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