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How spiking activity reverberates through neuronal networks, how evoked and spontaneous activity interact and blend, and how the combined activities represent external stimulation are pivotal questions in neuroscience. We simulated minimal…

神经元与认知 · 定量生物学 2018-03-01 Christoph Bauermeister , Hanna Keren , Jochen Braun

The models in statistical physics such as an Ising model offer a convenient way to characterize stationary activity of neural populations. Such stationary activity of neurons may be expected for recordings from in vitro slices or…

神经元与认知 · 定量生物学 2017-05-05 Christian Donner , Klaus Obermayer , Hideaki Shimazaki

The deterministic dynamics of randomly connected neural networks are studied, where a state of binary neurons evolves according to a discreet-time synchronous update rule. We give a theoretical support that the overlap of systems' states…

统计力学 · 物理学 2015-03-10 Taro Toyoizumi , Haiping Huang

We propose a biologically inspired model of spiking neurons based on the dynamics of a damped, driven pendulum. Unlike traditional models such as the Leaky Integrate-and-Fire (LIF) neurons, the pendulum neuron incorporates second-order,…

神经与进化计算 · 计算机科学 2025-07-31 Joy Bose

Traditional neuron models use analog values for information representation and computation, while all-or-nothing spikes are employed in the spiking ones. With a more brain-like processing paradigm, spiking neurons are more promising for…

神经与进化计算 · 计算机科学 2021-02-05 Qiang Yu , Shiming Song , Chenxiang Ma , Linqiang Pan , Kay Chen Tan

Neurons in the brain continuously process the barrage of sensory inputs they receive from the environment. A wide array of experimental work has shown that the collective activity of neural populations encodes and processes this constant…

神经元与认知 · 定量生物学 2025-10-30 Siddharth Paliwal , Gabriel Koch Ocker , Braden A. W. Brinkman

Network theory provides novel concepts that promise an improved characterization of interacting dynamical systems. Within this framework, evolving networks can be considered as being composed of nodes, representing systems, and of…

神经元与认知 · 定量生物学 2014-08-26 Klaus Lehnertz , Gerrit Ansmann , Stephan Bialonski , Henning Dickten , Christian Geier , Stephan Porz

We introduce and study a new model of interacting neural networks, incorporating the spatial dimension (e.g. position of neurons across the cortex) and some learning processes. The dynamic of each neural network is described via the elapsed…

偏微分方程分析 · 数学 2020-09-03 Delphine Salort , Nicolas Torres

Despite the huge number of neurons composing a brain network, ongoing activity of local cell assemblies composing cortical columns is intrinsically stochastic. Fluctuations in their instantaneous rate of spike firing $\nu(t)$ scale with the…

神经元与认知 · 定量生物学 2024-04-15 Gianni V. Vinci , Roberto Benzi , Maurizio Mattia

We investigate the dynamics of large-scale interacting neural populations, composed of conductance based, spiking model neurons with modifiable synaptic connection strengths, which are possibly also subjected to external noisy currents. The…

神经元与认知 · 定量生物学 2017-02-01 Daniel Gandolfo , Roger Rodriguez , Henry C. Tuckwell

Spiking neural networks coupled with neuromorphic hardware and event-based sensors are getting increased interest for low-latency and low-power inference at the edge. However, multiple spiking neuron models have been proposed in the…

神经与进化计算 · 计算机科学 2022-11-16 Mohamed Sadek Bouanane , Dalila Cherifi , Elisabetta Chicca , Lyes Khacef

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…

凝聚态物理 · 物理学 2008-02-03 S. P. Strong , Roland Koberle , Rob R. de Ruyter van Steveninck , William Bialek

The collective dynamics of neural populations are often characterized in terms of correlations in the spike activity of different neurons. Open questions surround the basic nature of these correlations. In particular, what leads to…

神经元与认知 · 定量生物学 2013-06-25 David Leen , Eric Shea-Brown

Spike Timing Dependent Plasticity is form of learning that has been demonstrated in real cortical tissue, but attempts to use it for artificial systems have not produced good results. This paper seeks to remedy this with two significant…

神经与进化计算 · 计算机科学 2020-07-01 Simon Davidson , Stephen B. Furber , Oliver Rhodes

We consider finite systems of $N$ interacting neurons described by non-linear Hawkes processes in a mean field frame. Neurons are described by their membrane potential. They spike randomly, at a rate depending on their potential. In between…

概率论 · 数学 2025-07-01 Aline Duarte , Kadmo Laxa , Eva Löcherbach , Dasha Loukianova

We study a network model of two conductance-based pacemaker neurons of differing natural frequency, coupled with either mutual excitation or inhibition, and receiving shared random inhibitory synaptic input. The networks may phase-lock…

神经元与认知 · 定量生物学 2009-11-13 Ramana Dodla , Charles J. Wilson

The Hawkes process is a class of point processes whose future depends on their own history. Previous theoretical work on the Hawkes process is limited to a special case in which a past event can only increase the occurrence of future…

统计方法学 · 统计学 2019-06-21 Shizhe Chen , Ali Shojaie , Eric Shea-Brown , Daniela Witten

Living neural networks in our brains autonomously self-organize into large, complex architectures during early development to result in an organized and functional organic computational device. A key mechanism that enables the formation of…

神经与进化计算 · 计算机科学 2020-06-15 Guruprasad Raghavan , Cong Lin , Matt Thomson

In the last century, most sensorimotor studies of cortical neurons relied on average firing rates. Rate coding is efficient for fast sensorimotor processing that occurs within a few seconds. Much less is known about the neural mechanisms…

神经元与认知 · 定量生物学 2026-05-01 Terrence J. Sejnowski

The spike trains are the main components of the information processing in the brain. To model spike trains several point processes have been investigated in the literature. And more macroscopic approaches have also been studied, using…

神经与进化计算 · 计算机科学 2015-06-09 Julien Chevallier , Maria J. Caceres , Marie Doumic , Patricia Reynaud-Bouret