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How do neuronal populations encode time-dependent stimuli in their population firing rate? To address this question, I consider the quasi-renewal equation and the event-based expansion, two theoretical approximations proposed recently, and…

神经元与认知 · 定量生物学 2013-12-04 Richard Naud

The spatiotemporal stochastic dynamics of the voltage as well as the upcrossing rate are derived for a model neuron comprising a long dendrite with uniformly distributed filtered excitatory and inhibitory synaptic drive. A cascade of…

神经元与认知 · 定量生物学 2023-04-18 Robert P Gowers , Magnus J E Richardson

Artificial neural networks built from two-state neurons are powerful computational substrates, whose computational ability is well understood by analogy with statistical mechanics. In this work, we introduce similar analogies in the context…

神经与进化计算 · 计算机科学 2010-09-29 Paul Merolla , Tristan Ursell , John Arthur

Cortical synapse organization supports a range of dynamic states on multiple spatial and temporal scales, from synchronous slow wave activity (SWA), characteristic of deep sleep or anesthesia, to fluctuating, asynchronous activity during…

A new stimulation paradigm is presented for the stimulation of nerve cells by extracellular electric currents. In the new paradigm stimulation is achieved with the current spike induced by a voltage step whenever the voltage step is applied…

其他定量生物学 · 定量生物学 2016-03-08 Erich W. Schmid

A fundamental problem in neuroscience is to characterize the dynamics of spiking from the neurons in a circuit that is involved in learning about a stimulus or a contingency. A key limitation of current methods to analyze neural spiking…

统计方法学 · 统计学 2017-09-29 Yingzhuo Zhang , Noa Malem-Shinitski , Stephen A Allsop , Kay Tye , Demba Ba

Brain-inspired computing architectures attempt to mimic the computations performed in the neurons and the synapses in the human brain in order to achieve its efficiency in learning and cognitive tasks. In this work, we demonstrate the…

新兴技术 · 计算机科学 2017-12-20 Abhronil Sengupta , Priyadarshini Panda , Parami Wijesinghe , Yusung Kim , Kaushik Roy

The action potential constitutes the digital component of the signaling dynamics of neurons. But the biophysical nature of the full-time course of the action potential associated with changes in membrane potential is mathematically distinct…

神经元与认知 · 定量生物学 2026-04-16 Gabriel A. Silva

Inspired by the brain's information processing using binary spikes, spiking neural networks (SNNs) offer significant reductions in energy consumption and are more adept at incorporating multi-scale biological characteristics. In SNNs,…

神经与进化计算 · 计算机科学 2025-02-26 Yinqian Sun , Feifei Zhao , Zhuoya Zhao , Yi Zeng

We study the noise activated dynamics of a model {\it autapse} neuron system that consists of a subcritical Hopf oscillator with a time delayed nonlinear feedback. The coherence of the noise driven pulses of the neuron exhibits a novel…

混沌动力学 · 物理学 2009-11-11 Gautam C Sethia , Juergen Kurths , Abhijit Sen

We address the problem of finding patterns from multi-neuronal spike trains that give us insights into the multi-neuronal codes used in the brain and help us design better brain computer interfaces. We focus on the synchronous firings of…

神经与进化计算 · 计算机科学 2010-06-09 Raajay Viswanathan , P. S. Sastry , K. P. Unnikrishnan

Event-based neuromorphic systems promise to reduce the energy consumption of deep learning tasks by replacing expensive floating point operations on dense matrices by low power sparse and asynchronous operations on spike events. While these…

神经与进化计算 · 计算机科学 2019-06-04 Johannes Christian Thiele , Olivier Bichler , Antoine Dupret

In exploring the simulation of human rhythmic perception and synchronization capabilities, this study introduces a computational model inspired by the physical and biological processes underlying rhythm processing. Utilizing a reservoir…

神经元与认知 · 定量生物学 2025-03-28 Zhongju Yuan , Wannes Van Ransbeeck , Geraint Wiggins , Dick Botteldooren

Foundation models have shown remarkable success in fitting biological visual systems; however, their black-box nature inherently limits their utility for understanding brain function. Here, we peek inside a SOTA foundation model of neural…

神经元与认知 · 定量生物学 2026-01-30 Johannes Bertram , Luciano Dyballa , Anderson Keller , Savik Kinger , Steven W. Zucker

Foundation models have shown remarkable success in fitting biological visual systems; however, their black-box nature inherently limits their utility for understanding brain function. Here, we peek inside a SOTA foundation model of neural…

神经元与认知 · 定量生物学 2025-12-10 Johannes Bertram , Luciano Dyballa , T. Anderson Keller , Savik Kinger , Steven W. Zucker

Biological systems use neural circuits to integrate input information and produce outputs. Synaptic convergence, where multiple neurons converge their inputs onto a single downstream neuron, is common in natural neural circuits. However,…

介观与纳米尺度物理 · 物理学 2026-02-04 Wendy Otieno , Alex Gabbitas , Debi Pattnaik , Pavel Borisov , Sergey Savel'ev , Alexander G. Balanov

Understanding how the dynamics of neural networks is shaped by the computations they perform is a fundamental question in neuroscience. Recently, the framework of efficient coding proposed a theory of how spiking neural networks can compute…

神经元与认知 · 定量生物学 2022-10-25 Veronika Koren , Stefano Panzeri

Consider a large number $n$ of neurons, each being connected to approximately $N$ other ones, chosen at random. When a neuron spikes, which occurs randomly at some rate depending on its electric potential, its potential is set to a minimum…

概率论 · 数学 2020-03-19 Nicolas Fournier , Etienne Tanré , Romain Veltz

In this article, we review a class of neuro-mimetic computational models that we place under the label of spiking predictive coding. Specifically, we review the general framework of predictive processing in the context of neurons that emit…

The Bayesian view of the brain hypothesizes that the brain constructs a generative model of the world, and uses it to make inferences via Bayes' rule. Although many types of approximate inference schemes have been proposed for hierarchical…

神经元与认知 · 定量生物学 2019-11-15 Shashwat Shukla , Hideaki Shimazaki , Udayan Ganguly