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Spiking activity in cortical networks is nonlinear in nature. The linear-nonlinear cascade model, some versions of which are also known as point-process generalized linear model, can efficiently capture the nonlinear dynamics exhibited by…

Neurons and Cognition · Quantitative Biology 2020-01-16 Michael Kordovan , Stefan Rotter

We describe a new, computationally simple method for analyzing the dynamics of neuronal spike trains driven by external stimuli. The goal of our method is to test the predictions of simple spike-generating models against extracellularly…

Neurons and Cognition · Quantitative Biology 2007-05-23 Daniel S. Reich , Jonathan D. Victor , Bruce W. Knight

The presynaptic free calcium dynamics of neurons due to various stimulation protocols is investigated in a mathematical model. The model includes calcium influx through voltage-dependent calcium channels, calcium buffering by endogenous and…

Biological Physics · Physics 2007-05-23 Frido Erler , Michael Meyer-Hermann , Gerhard Soff

We present a new model for the dynamics of the presynaptic intracellular calcium concentration in neurons evoked by various stimulation protocols. The aim of the model is twofold: We want to discuss the calcium transients during and after…

Biological Physics · Physics 2007-05-23 Michael Meyer-Hermann , Frido Erler , Gerhard Soff

In the past few years, new technologies in the field of neuroscience have made it possible to simultaneously image activity in large populations of neurons at cellular resolution in behaving animals. In mid-2016, a huge repository of this…

Applications · Statistics 2017-03-22 Ashley Petersen , Noah Simon , Daniela Witten

Calcium imaging allows for the parallel measurement of large neuronal populations in a spatially resolved and minimally invasive manner, and has become a gold-standard for neuronal functionality. While deep generative models have been…

Neurons and Cognition · Quantitative Biology 2025-10-02 Berta Ros , Mireia Olives-Verger , Caterina Fuses , Josep M Canals , Jordi Soriano , Jordi Abante

We provide rigorous and exact results characterizing the statistics of spike trains in a network of leaky integrate and fire neurons, where time is discrete and where neurons are submitted to noise, without restriction on the synaptic…

Dynamical Systems · Mathematics 2011-05-18 B. Cessac

A goal of low-level neural processes is to build an efficient code extracting the relevant information from the sensory input. It is believed that this is implemented in cortical areas by elementary inferential computations dynamically…

Neurons and Cognition · Quantitative Biology 2007-05-23 Laurent Perrinet

Background: In neurophysiological data, latency refers to a global shift of spikes from one spike train to the next, either caused by response onset fluctuations or by finite propagation speed. Such systematic shifts in spike timing lead to…

Recent advances in neural recording technology allow simultaneously recording action potentials from hundreds to thousands of neurons in awake, behaving animals. However, characterizing spike patterns in the resulting data, and linking…

Neurons in the nervous system are submitted to distinct sources of noise, such as ionic-channel and synaptic noise, which introduces variability in their responses to repeated presentations of identical stimuli. This motivates the use of…

Understanding the functioning of a neural system in terms of its underlying circuitry is an important problem in neuroscience. Recent developments in electrophysiology and imaging allow one to simultaneously record activities of hundreds of…

Databases · Computer Science 2008-03-11 Debprakash Patnaik , P. S. Sastry , K. P. Unnikrishnan

Much of studies on neural computation are based on network models of static neurons that produce analog output, despite the fact that information processing in the brain is predominantly carried out by dynamic neurons that produce discrete…

Neurons and Cognition · Quantitative Biology 2017-06-21 Dongsung Huh , Terrence J. Sejnowski

Humans perform remarkably well in many cognitive tasks including pattern recognition. However, the neuronal mechanisms underlying this process are not well understood. Nevertheless, artificial neural networks, inspired in brain circuits,…

Neurons and Cognition · Quantitative Biology 2018-06-28 Gianluca Susi , Luis Anton Toro , Leonides Canuet , Maria Eugenia Lopez , Fernando Maestu , Claudio R. Mirasso , Ernesto Pereda

In this paper we consider point processes specified on directed linear networks, i.e. linear networks with associated directions. We adapt the so-called conditional intensity function used for specifying point processes on the time line to…

Statistics Theory · Mathematics 2019-01-03 Jakob G. Rasmussen , Heidi S. Christensen

We consider a new class of non Markovian processes with a countable number of interacting components, both in discrete and continuous time. Each component is represented by a point process indicating if it has a spike or not at a given…

Neurons and Cognition · Quantitative Biology 2015-02-24 A. Galves , E. Löcherbach

Spike sorting is an essential process in neural recording, which identifies and separates electrical signals from individual neurons recorded by electrodes in the brain, enabling researchers to study how specific neurons communicate and…

Neurons and Cognition · Quantitative Biology 2025-12-23 Yimu Zhang , Dongqi Han , Yansen Wang , Zhenning Lv , Yu Gu , Dongsheng Li

Closed-loop neuroscience experimentation, where recorded neural activity is used to modify the experiment on-the-fly, is critical for deducing causal connections and optimizing experimental time. A critical step in creating a closed-loop…

Image and Video Processing · Electrical Eng. & Systems 2024-05-27 Iuliia Dmitrieva , Sergey Babkin , Adam S. Charles

One major challenge in neuroscience is the identification of interrelations between signals reflecting neural activity and how information processing occurs in the neural circuits. At the cellular and molecular level, mechanisms of signal…

Applications · Statistics 2019-09-27 Giacomo Aletti , Davide Lonardoni , Giovanni Naldi , Thierry Nieus

This paper introduces an approach to process channel sounder data acquired from Channel Impulse Response (CIR) of 60GHz and 80GHz channel sounder systems, through the integration of Long Short-Term Memory (LSTM) Neural Network (NN) and…

Signal Processing · Electrical Eng. & Systems 2025-03-28 Petr Horky , Ales Prokes , Radek Zavorka , Josef Vychodil , Jan M. Kelner , Cezary Ziolkowski , Aniruddha Chandra