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In awake animals, the activity of the cerebral cortex is highly complex, with neurons firing irregularly with apparent Poisson statistics. One way to characterize this complexity is to take advantage of the high interconnectivity of…

Neurons and Cognition · Quantitative Biology 2009-04-29 Martin Pospischil , Zuzanna Piwkowska , Thierry Bal , Alain Destexhe

Cortical neurons are subject to sustained and irregular synaptic activity which causes important fluctuations of the membrane potential (Vm). We review here different methods to characterize this activity and its impact on spike generation.…

Neurons and Cognition · Quantitative Biology 2009-04-29 Zuzanna Piwkowska , Martin Pospischil , Romain Brette , Julia Sliwa , Michelle Rudolph-Lilith , Thierry Bal , Alain Destexhe

The interplay between excitatory and inhibitory neurons imparts rich functions of the brain. To understand the underlying synaptic mechanisms, a fundamental approach is to study the dynamics of excitatory and inhibitory conductances of each…

Neurons and Cognition · Quantitative Biology 2017-10-17 Songting Li , Nan Liu , Xiaohui Zhang , Douglas Zhou , David Cai

The interaction between excitation and inhibition is crucial for brain computation. To understand synaptic mechanisms underlying brain function, it is important to separate excitatory and inhibitory inputs to a target neuron. In the…

Neurons and Cognition · Quantitative Biology 2017-10-17 Songting Li , Xiaohui Zhang , Douglas Zhou , David Cai

We present two Bayesian procedures to infer the interactions and external currents in an assembly of stochastic integrate-and-fire neurons from the recording of their spiking activity. The first procedure is based on the exact calculation…

Machine Learning · Statistics 2011-02-28 Remi Monasson , Simona Cocco

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

This paper deals with the problem of inferring the signals and parameters that cause neural activity to occur. The ultimate challenge being to unveil brain's connectivity, here we focus on a microscopic vision of the problem, where single…

Computation · Statistics 2015-11-13 Pau Closas , Antoni Guillamon

We present a method of estimating the gradient of an objective function with respect to the synaptic weights of a spiking neural network. The method works by measuring the fluctuations in the objective function in response to dynamic…

Neurons and Cognition · Quantitative Biology 2007-05-23 Ila R. Fiete , H. Sebastian Seung

Inferring the biophysical parameters of conductance-based models (CBMs) from experimentally accessible recordings remains a central challenge in computational neuroscience. Spike times are the most widely available data, yet they reveal…

Neurons and Cognition · Quantitative Biology 2026-05-26 Julien Brandoit , Damien Ernst , Guillaume Drion , Arthur Fyon

The excitability property of spiking neurons describes their capability to output an action potential as a real-time response to an input synaptic excitation current and is central to the event-based neuromorphic computing paradigm. The…

Statistical Mechanics · Physics 2025-11-18 Léopold Van Brandt , Grégoire Brandsteert , Denis Flandre

Recent studies of cortical neurons driven by fluctuating currents revealed cutoff frequencies for action potential encoding of several hundred Hz. Theoretical studies of biophysical neuron models have predicted a much lower cutoff frequency…

Neurons and Cognition · Quantitative Biology 2015-05-27 Wei Wei , Fred Wolf

Most models of neurons incorporate a capacitor to account for the marked capacitive behavior exhibited by the cell membrane. However, such capacitance is widely considered constant, thereby neglecting the possible effects of time-dependent…

Neurons and Cognition · Quantitative Biology 2025-12-29 Matías Courdurier , Leonel E. Medina , Esteban Paduro

We consider a fully-connected network of leaky integrate-and-fire neurons with spike-timing-dependent plasticity. The plasticity is controlled by a parameter representing the expected weight of a synapse between neurons that are firing…

Neurons and Cognition · Quantitative Biology 2011-09-23 Chun-Chung Chen , David Jasnow

Filtered shot noise processes have proven to be very effective in modelling the evolution of systems exposed to stochastic shot noise sources, and have been applied to a wide variety of fields ranging from electronics through biology. In…

Neurons and Cognition · Quantitative Biology 2015-09-15 Marco Brigham , Alain Destexhe

Measurements of electric potentials from neural activity have played a key role in neuroscience for almost a century, and simulations of neural activity is an important tool for understanding such measurements. Volume conductor (VC) theory…

Neurons and Cognition · Quantitative Biology 2021-05-04 Torbjørn V. Ness , Geir Halnes , Solveig Næss , Klas H. Pettersen , Gaute T. Einevoll

The highly variable dynamics of neocortical circuits observed in vivo have been hypothesized to represent a signature of ongoing stochastic inference but stand in apparent contrast to the deterministic response of neurons measured in vitro.…

Neurons and Cognition · Quantitative Biology 2017-03-14 Mihai A. Petrovici , Johannes Bill , Ilja Bytschok , Johannes Schemmel , Karlheinz Meier

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

The apparent stochasticity of in-vivo neural circuits has long been hypothesized to represent a signature of ongoing stochastic inference in the brain. More recently, a theoretical framework for neural sampling has been proposed, which…

Neurons and Cognition · Quantitative Biology 2017-03-14 Mihai A. Petrovici , Ilja Bytschok , Johannes Bill , Johannes Schemmel , Karlheinz Meier

While spike timing has been shown to carry detailed stimulus information at the sensory periphery, its possible role in network computation is less clear. Most models of computation by neural networks are based on population firing rates.…

Neurons and Cognition · Quantitative Biology 2015-07-17 Michael A. Schwemmer , Adrienne L. Fairhall , Sophie Denéve , Eric T. Shea-Brown

This paper introduces a class of stochastic models of interacting neurons with emergent dynamics similar to those seen in local cortical populations, and compares them to very simple reduced models driven by the same mean excitatory and…

Neurons and Cognition · Quantitative Biology 2017-11-07 Yao Li , Logan Chariker , Lai-Sang Young
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