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We address the problem of learning feedback control where the controller is a network constructed solely of deterministic spiking neurons. In contrast to previous investigations that were based on a spike rate model of the neuron, the…

神经元与认知 · 定量生物学 2018-09-27 Tae Seung Kang , Arunava Banerjee

Spiking neural networks (SNNs) promise low-power event-driven computation for temporally rich tasks, but commonly used neuron models often trade off gradient-based trainability, dynamical richness, and high activity sparsity. These…

神经与进化计算 · 计算机科学 2026-05-13 Alex Fulleda-Garcia , Saray Soldado-Magraner , Josep Maria Margarit-Taulé

In this paper we deal with a feedback control design for the action potential of a neuronal membrane in relation with the non-linear dynamics of the Hodgkin-Huxley mathematical model. More exactly, by using an external current as a control…

最优化与控制 · 数学 2020-04-22 Cecilia Cavaterra , Denis Enachescu , Gabriela Marinoschi

Dynamical balance of excitation and inhibition is usually invoked to explain the irregular low firing activity observed in the cortex. We propose a robust nonlinear balancing mechanism for a random network of spiking neurons, which works…

无序系统与神经网络 · 物理学 2025-05-29 Antonio Politi , Alessandro Torcini

The time elapsed model describes the firing activity of an homogeneous assembly of neurons thanks to the distribution of times elapsed since the last discharge. It gives a mathematical description of the probability density of neurons…

偏微分方程分析 · 数学 2011-09-16 Khashayar Pakdaman , Benoît Perthame , Delphine Salort

Analytical expressions are put forward to investigate the forced spiking activity of abstract neuron models such as the driven leaky integrate-and-fire (LIF) model. The method is valid in a wide parameter regime beyond the restraining…

神经元与认知 · 定量生物学 2007-05-23 Michael Schindler , Peter Talkner , Peter Hänggi

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…

神经元与认知 · 定量生物学 2016-04-19 Henry C. Tuckwell , Susanne Ditlevsen

Neurons in the nervous system exhibit an outstanding variety of morphological and physiological properties. However, close to threshold, this remarkable richness may be grouped succinctly into two basic types of excitability, often referred…

神经元与认知 · 定量生物学 2008-01-28 Germán Mato , Inés Samengo

We study a system of interacting renewal processes which is a model for neuronal activity. We show that the system possesses an exponentially large number (with respect to the number of neurons in the network) of limiting configurations of…

概率论 · 数学 2007-05-23 Marie Cottrell , Tatiana Turova

Simulation speed matters for neuroscientific research: this includes not only how quickly the simulated model time of a large-scale spiking neuronal network progresses, but also how long it takes to instantiate the network model in computer…

The dynamical responses of complex neuronal networks to external stimulus injected on a \emph{single} neuron are investigated. Stimulating the largest-degree neuron in the network, it is found that as the intensity of the stimulus…

混沌动力学 · 物理学 2016-04-13 Mengjiao Chen , Weijie Lin , Hengtong Wang , Wei Ren , Xingang Wang

Energy consumption remains the main limiting factors in many promising IoT applications. In particular, micro-controllers consume far too much power. In order to overcome this problem, new circuit designs have been proposed and the use of…

信号处理 · 电气工程与系统科学 2023-10-25 Guillaume Marthe , Claire Goursaud

In this correspondence information theoretical tools are used to investigate the statistical properties of modeled cochlear nucleus globular bushy cell spike trains. The firing patterns are obtained from a simulation software that generates…

神经元与认知 · 定量生物学 2012-04-25 Andrea Grigorescu , Marek Rudnicki , Michael Isik , Werner Hemmert , Stefano Rini

We consider a wide class of spiking neuron models, defined by rather general set of conditions typical for basic models like leaky integrate and fire, or binding neuron model. A neuron is fed with a point renewal process. A relation between…

神经元与认知 · 定量生物学 2015-02-13 Alexander K. Vidybida

To understand possible strategies of temporal spike coding in the central nervous system, we study functional neuromimetic models of visual processing for static images. We will first present the retinal model which was introduced by Van…

神经元与认知 · 定量生物学 2007-05-23 Laurent Perrinet , Manuel Samuelides , Simon Thorpe

This paper suggests a learning-theoretic perspective on how synaptic plasticity benefits global brain functioning. We introduce a model, the selectron, that (i) arises as the fast time constant limit of leaky integrate-and-fire neurons…

神经元与认知 · 定量生物学 2012-09-26 David Balduzzi , Michel Besserve

This work proposes a two-dimensional electrophysiological model for describing neuronal responses to external electric stimuli under patch-clamped conditions. Our proposed model successfully captures the key features of the Hodgkin-Huxley…

神经元与认知 · 定量生物学 2023-12-13 Lízia Maria Gonçalves Branco , Rui Manuel Agostinho Dilão

Neuronal cells present periodic trains of localized voltage spikes involving a large amount of different ionic channels. A relevant question is whether this is a cooperative effect or it could also be an intrinsic property of individual…

生物物理 · 物理学 2018-04-17 Laureano Ramírez-Piscina , José M. Sancho

This article investigates the emergence of phase synchronization in a network of randomly connected neurons by chemical synapses. The study uses the classic Hodgkin-Huxley model to simulate the neuronal dynamics under the action of a train…

Epilepsy creates a persistent increase in the probability of spontaneous seizures. An ictal episode evolves due to acute disturbance of the fine-tuned balance between excitatory vs. inhibitory inputs within a neural network in favor of…

神经元与认知 · 定量生物学 2018-10-29 Eslam Abbas