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The dynamics of local cortical networks are irregular, but correlated. Dynamic excitatory--inhibitory balance is a plausible mechanism that generates such irregular activity, but it remains unclear how balance is achieved and maintained in…

神经元与认知 · 定量生物学 2020-04-28 Alan Eric Akil , Robert Rosenbaum , Krešimir Josić

Perceptions and actions, thoughts and memories result from coordinated activity in hundreds or even thousands of neurons in the brain. It is an old dream of the physics community to provide a statistical mechanics description for these and…

无序系统与神经网络 · 物理学 2024-09-04 Leenoy Meshulam , William Bialek

The spontaneous generation of electrical activity underpins a number of essential physiological processes, and is observed even in tissues where specialized pacemaker cells have not been identified. The emergence of periodic oscillations in…

适应与自组织系统 · 物理学 2022-02-01 Ria Ghosh , Shakti N. Menon

Experiments show that the movement of eukaryotic cells is regulated by a process of phase separation of two competing enzymes on the cell membrane, that effectively amplifies shallow external gradients of chemical attractant. Notably, the…

统计力学 · 物理学 2008-12-19 Teresa Ferraro , Antonio de Candia , Andrea Gamba , Antonio Coniglio

In chemical reaction network theory, ordinary differential equations are used to model the temporal change of chemical species concentration. As the functional form of these ordinary differential equations systems is derived from an…

分子网络 · 定量生物学 2025-02-27 Anna C. M. Thöni , William E. Robinson , Yoram Bachrach , Wilhelm T. S. Huck , Tal Kachman

We show that a network of spiking neurons exhibits robust self-organized criticality if the synaptic efficacies follow realistic dynamics. Deriving analytical expressions for the average coupling strengths and inter-spike intervals, we…

统计力学 · 物理学 2007-12-07 Anna Levina , J. Michael Herrmann , Theo Geisel

We study the effect that the heterogeneity present among the elements of an ensemble of coupled excitable neurons have on the collective response of the system to an external signal. We have considered two different interaction scenarios,…

生物物理 · 物理学 2010-03-31 T. Perez , C. R. Mirasso , R. Toral , J. D. Gunton

Associative networks theory is increasingly providing tools to interpret update rules of artificial neural networks. At the same time, deriving neural learning rules from a solid theory remains a fundamental challenge. We make some steps in…

神经元与认知 · 定量生物学 2025-03-27 Daniele Lotito

How extracellular electric fields, as generated endogenously or through transcranial brain stimulation, affect the dynamics of large neuronal populations is of great interest but not well understood. To study the collective dynamics of…

神经元与认知 · 定量生物学 2016-11-10 Florian Aspart , Josef Ladenbauer , Klaus Obermayer

Understanding how the brain learns to compute functions reliably, efficiently and robustly with noisy spiking activity is a fundamental challenge in neuroscience. Most sensory and motor tasks can be described as dynamical systems and could…

神经元与认知 · 定量生物学 2017-05-24 Sophie Denève , Alireza Alemi , Ralph Bourdoukan

We study phase transitions in a long-range one-dimensional cellular automaton with two symmetric absorbing states. It includes and extends several other models, like the Ising and Domany-Kinzel ones. It is characterized by a competing…

统计力学 · 物理学 2007-05-23 F. Bagnoli , F. Franci , R. Rechtman

We consider the effect of distributed delays in neural feedback systems. The avian optic tectum is reciprocally connected with the nucleus isthmi. Extracellular stimulation combined with intracellular recordings reveal a range of signal…

We study a network of spiking neurons with heterogeneous excitabilities connected via inhibitory delayed pulses. For globally coupled systems the increase of the inhibitory coupling reduces the number of firing neurons by following a Winner…

无序系统与神经网络 · 物理学 2019-05-29 Stefano Luccioli , David Angulo Garcia , Alessandro Torcini

Networks of model neurons with balanced recurrent excitation and inhibition produce irregular and asynchronous spiking activity. We extend the analysis of balanced networks to include the known dependence of connection probability on the…

神经元与认知 · 定量生物学 2014-06-02 Robert Rosenbaum , Brent Doiron

In recent years many methods have been developed to understand the internal workings of neural networks, often by describing the function of individual neurons in the model. However, these methods typically only focus on explaining the very…

机器学习 · 计算机科学 2024-05-14 Tuomas Oikarinen , Tsui-Wei Weng

Through the last years, different strategies to enhance synchronization in complex networks have been proposed. In this Letter, we show that the synchronization in a small-world network of attractively coupled non-identical neurons is…

无序系统与神经网络 · 物理学 2009-11-11 I. Leyva , I. Sendiña-Nadal , J. A. Almendral , M. A. F. Sanjuán

Competition between synapses arises in some forms of correlation-based plasticity. Here we propose a game theory-inspired model of synaptic interactions whose dynamics is driven by competition between synapses in their weak and strong…

无序系统与神经网络 · 物理学 2011-10-19 Ajaz Ahmad Bhat , Gaurang Mahajan , Anita Mehta

This paper describes how realistic neuromorphic networks can have their connectivity fully characterized in analytical fashion. By assuming that all neurons have the same shape and are regularly distributed along the two-dimensional…

无序系统与神经网络 · 物理学 2007-05-23 Luciano da Fontoura Costa , Marconi Soares Barbosa

The emergence of complex behaviors in cellular automata is an area that has been widely developed in recent years with the intention to generate and analyze automata that produce space-moving patterns or gliders that interact in a periodic…

We study the spike statistics of neurons in a network with dynamically balanced excitation and inhibition. Our model, intended to represent a generic cortical column, comprises randomly connected excitatory and inhibitory leaky…

神经元与认知 · 定量生物学 2007-05-23 Alexander Lerchner , Cristina Ursta , John Hertz , Mandana Ahmadi , Pauline Ruffiot