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Efficiency in passage times is an important issue in designing networks, such as transportation or computer networks. The small-world networks have structures that yield high efficiency, while keeping the network highly clustered. We show…

Disordered Systems and Neural Networks · Physics 2009-11-07 Takashi Nishikawa , Adilson E. Motter , Ying-Cheng Lai , Frank C. Hoppensteadt

Realizations of low firing rates in neural networks usually require globally balanced distributions among excitatory and inhibitory links, while feasibility of temporal coding is limited by neuronal millisecond precision. We show that…

Neurons and Cognition · Quantitative Biology 2015-06-16 Roni Vardi , Amir Goldental , Hagar Marmari , Haya Brama , Edward Stern , Shira Sardi , Pinhas Sabo , Ido Kanter

We study analytically the dynamics of a network of sparsely connected inhibitory integrate-and-fire neurons in a regime where individual neurons emit spikes irregularly and at a low rate. In the limit when the number of neurons N tends to…

Disordered Systems and Neural Networks · Physics 2007-05-23 N. Brunel , V. Hakim

Biological neural networks are characterized by their high degree of plasticity, a core property that enables the remarkable adaptability of natural organisms. Importantly, this ability affects both the synaptic strength and the topology of…

Neural and Evolutionary Computing · Computer Science 2024-06-17 Erwan Plantec , Joachin W. Pedersen , Milton L. Montero , Eleni Nisioti , Sebastian Risi

We propose a new model based on the Ising model with the aim to study synaptic plasticity phenomena in neural networks. It is today well established in biology that the synapses or connections between certain types of neurons are…

Disordered Systems and Neural Networks · Physics 2016-07-22 Eugene Pechersky , Guillem Via , Anatoly Yambartsev

Small-world architectures may be implicated in a range of phenomena from disease propagation to networks of neurons in the cerebral cortex. While most of the recent attention on small-world networks has focussed on the effect of introducing…

Disordered Systems and Neural Networks · Physics 2007-05-23 Rajesh Kasturirangan

In neural systems, synaptic plasticity is usually driven by spike trains. Due to the inherent noises of neurons, synapses and networks, spike trains typically exhibit externally uncontrollable variability such as spatial heterogeneity and…

Neurons and Cognition · Quantitative Biology 2015-06-18 Zedong Bi , Changsong Zhou , Hai-Jun Zhou

It has been demonstrated that one of the most striking features of the nervous system, the so called 'plasticity' (i.e high adaptability at different structural levels) is primarily based on Hebbian learning which is a collection of…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 G. Szirtes , Zs. Palotai , A. Lorincz

The human brain has been studied at multiple scales, from neurons, circuits, areas with well defined anatomical and functional boundaries, to large-scale functional networks which mediate coherent cognition. In a recent work, we addressed…

Biological Physics · Physics 2012-05-17 Lazaros K. Gallos , Mariano Sigman , Hernan A. Makse

Spiking neural networks (SNNs) are distributed trainable systems whose computing elements, or neurons, are characterized by internal analog dynamics and by digital and sparse synaptic communications. The sparsity of the synaptic spiking…

Machine Learning · Computer Science 2020-01-08 Hyeryung Jang , Osvaldo Simeone , Brian Gardner , André Grüning

Standard Spiking Neural Network (SNN) models typically neglect metabolic constraints, treating neurons as energetically unconstrained components. We bridge this gap by implementing a conductance-based leaky integrate-and-fire (gLIF)…

Neurons and Cognition · Quantitative Biology 2025-12-29 Ece Öner , Cenk Denktaş

Using the minority game as a model for competition dynamics, we investigate the effects of inter-agent communications on the global evolution of the dynamics of a society characterized by competition for limited resources. The agents…

Statistical Mechanics · Physics 2009-11-10 M. Anghel , Zoltan Toroczkai , Kevin E. Bassler , G. Korniss

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…

Statistical Mechanics · Physics 2007-12-07 Anna Levina , J. Michael Herrmann , Theo Geisel

Sleep is thought to support memory consolidation and the recovery of optimal energetic regime by reorganizing synaptic connectivity, yet how plasticity across hierarchical brain circuits contributes to abstraction and energy efficiency…

Dynamical wiring and rewiring in neural networks are carried out by activity-dependent growth and retraction of axons and dendrites, guided by gudance molecules, released by target cells. Experience-dependent structural changes in cortical…

Neurons and Cognition · Quantitative Biology 2007-05-23 Fail M. Gafarov

The characterization of the "most connected" nodes in static or slowly evolving complex networks has helped in understanding and predicting the behavior of social, biological, and technological networked systems, including their robustness…

Physics and Society · Physics 2010-10-21 Scott A. Hill , Dan Braha

This study explores the design and control of the behaviour of agents and robots using simple circuits of spiking neurons and Spike Timing Dependent Plasticity (STDP) as a mechanism of associative and unsupervised learning. Based on a…

Robotics · Computer Science 2015-09-25 Cristian Jimenez-Romero , David Sousa-Rodrigues , Jeffrey H. Johnson

Supplementing a lattice with long-range connections effectively models small-world networks characterized by a high local and global interconnectedness observed in systems ranging from society to the brain. If the links have a wiring cost…

Disordered Systems and Neural Networks · Physics 2007-05-23 Thomas Petermann , Paolo De Los Rios

The dynamics of competing opinions in social network play an important role in society, with many applications in diverse social contexts as consensus, elections, morality and so on. Here we study a model of interacting agents connected in…

Physics and Society · Physics 2022-09-29 Antonio Mihara , Anderson A. Ferreira , André C. R. Martins , Fernando F. Ferreira

We propose a model for growing networks based on a finite memory of the nodes. The model shows stylized features of real-world networks: power law distribution of degree, linear preferential attachment of new links and a negative…

Condensed Matter · Physics 2009-11-07 Konstantin Klemm , Victor M. Eguiluz
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