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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…

应用统计 · 统计学 2011-04-15 Mengxin Li , Wei-Liem Loh

Spiking neural network (SNN), as the next generation of artificial neural network (ANN), offer a closer mimicry of natural neural networks and hold promise for significant improvements in computational efficiency. However, the current SNN…

计算机视觉与模式识别 · 计算机科学 2025-02-04 Dengyu Wu , Gaojie Jin , Han Yu , Xinping Yi , Xiaowei Huang

There has been a strong push recently to examine biological scale simulations of neuromorphic algorithms to achieve stronger inference capabilities. This paper presents a set of piecewise linear spiking neuron models, which can reproduce…

机器学习 · 计算机科学 2012-12-18 Hamid Soleimani , Arash Ahmadi , Mohammad Bavandpour

The relationship between a neuron's complex inputs and its spiking output defines the neuron's coding strategy. This is frequently and effectively modeled phenomenologically by one or more linear filters that extract the components of the…

神经元与认知 · 定量生物学 2011-11-02 Michael Famulare , Adrienne L. Fairhall

Spiking Neural Networks (SNN) are mathematical models in neuroscience to describe the dynamics among a set of neurons that interact with each other by firing instantaneous signals, a.k.a., spikes. Interestingly, a recent advance in…

神经与进化计算 · 计算机科学 2018-11-22 Chi-Ning Chou , Kai-Min Chung , Chi-Jen Lu

Neurons in cortical circuits exhibit coordinated spiking activity, and can produce correlated synchronous spikes during behavior and cognition. We recently developed a method for estimating the dynamics of correlated ensemble activity by…

神经元与认知 · 定量生物学 2013-12-17 Hideaki Shimazaki

We present a simple Markov model of spiking neural dynamics that can be analytically solved to characterize the stochastic dynamics of a finite-size spiking neural network. We give closed-form estimates for the equilibrium distribution,…

神经元与认知 · 定量生物学 2007-05-23 H. Soula , C. C. Chow

Neuronal activity arises from an interaction between ongoing firing generated spontaneously by neural circuits and responses driven by external stimuli. Using mean-field analysis, we ask how a neural network that intrinsically generates…

神经元与认知 · 定量生物学 2010-08-04 Kanaka Rajan , L F Abbott , Haim Sompolinsky

Research showed that, the information transmitted in biological neurons is encoded in the instants of successive action potentials or their firing rate. In addition to that, in-vivo operation of the neuron makes measurement difficult and…

神经元与认知 · 定量生物学 2018-01-10 Ozgur Doruk , Kechen Zhang

A simple model that replicates the dynamics of spiking and spiking-bursting activity of real biological neurons is proposed. The model is a two-dimensional map which contains one fast and one slow variable. The mechanisms behind generation…

混沌动力学 · 物理学 2009-11-07 Nikolai F. Rulkov

We present a theoretical study aiming at model fitting for sensory neurons. Conventional neural network training approaches are not applicable to this problem due to lack of continuous data. Although the stimulus can be considered as a…

神经元与认知 · 定量生物学 2017-09-28 R. Ozgur Doruk , Kechen Zhang

We consider a finite system of interacting point processes with memory of variable length modeling a finite but large network of spiking neurons with two different leakage mechanisms. Associated to each neuron there are two point processes,…

概率论 · 数学 2022-12-21 Kádmo de S. Laxa

Learning is based on synaptic plasticity, which affects and is driven by neural activity. Because pre- and postsynaptic spiking activity is shaped by randomness, the synaptic weights follow a stochastic process, requiring a probabilistic…

神经元与认知 · 定量生物学 2026-01-14 Jakob Stubenrauch , Naomi Auer , Richard Kempter , Benjamin Lindner

Interest in understanding the interplay between noise and the response of a non-linear device cuts across disciplinary boundaries. It is as relevant for unmasking the dynamics of neurons in noisy environments as it is for designing reliable…

生物物理 · 物理学 2011-05-16 Cameron Sobie , Arif Babul , Rogerio de Sousa

Many types of neurons exhibit spike rate adaptation, mediated by intrinsic slow $\mathrm{K}^+$-currents, which effectively inhibit neuronal responses. How these adaptation currents change the relationship between in-vivo like fluctuating…

神经元与认知 · 定量生物学 2013-11-08 Josef Ladenbauer , Moritz Augustin , Klaus Obermayer

In this report trial-to-trial variations in the synchronized responses of neural networks are offered as evidence for excitation-inhibition ratio being a dynamic variable over time scales of minutes. Synchronized network responses to…

神经元与认知 · 定量生物学 2015-01-05 Netta Haroush , Shimon Marom

Periodic and nonperiodic components of electrophysiological signals are modelled in terms of syncronized sequences of closed loops of firing neurons correlated in Markov chains. Single closed loops of firing neurons reproduce fundamental…

神经元与认知 · 定量生物学 2022-09-19 P. Mazzetti , A. Carbone

This paper studies the phenomenon of conduction block in model neurons using high-frequency biphasic stimulation (HFBS). The focus is investigating the triggering of undesired onset action potentials when the HFBS is turned on. The approach…

神经元与认知 · 定量生物学 2025-12-29 Eduardo Cerpa , Nathaly Corrales , Matías Courdurier , Leonel E. Medina , Esteban Paduro

The neural dynamics generating sensory, motor, and cognitive functions are commonly understood through field theories for neural population activity. Classic neural field theories are derived from highly simplified models of individual…

神经元与认知 · 定量生物学 2023-11-21 Gabriel Koch Ocker

Frequency discrimination is a fundamental task of the auditory system. The mammalian inner ear, or cochlea, provides a place code in which different frequencies are detected at different spatial locations. However, a temporal code based on…

神经元与认知 · 定量生物学 2015-06-05 Tobias Reichenbach , A. J. Hudspeth