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A computer model is described which is used to assess the dynamical complexity of a class of networks of spiking neurons with small-world properties. Networks are constructed by forming an initially segregated set of highly intra-connected…

生物物理 · 物理学 2009-11-13 Murray Shanahan

Dynamical criticality has been shown to enhance information processing in dynamical systems, and there is evidence for self-organized criticality in neural networks. A plausible mechanism for such self-organization is activity dependent…

适应与自组织系统 · 物理学 2012-09-18 Felix Droste , Anne-Ly Do , Thilo Gross

In spiking neural networks an action potential could in principle trigger subsequent spikes in the neighbourhood of the initial neuron. A successful spike is that which trigger subsequent spikes giving rise to cascading behaviour within the…

适应与自组织系统 · 物理学 2015-08-03 Victor Hernandez-Urbina , Tom L. Underwood , J. Michael Herrmann

Large networks of spiking neurons show abrupt changes in their collective dynamics resembling phase transitions studied in statistical physics. An example of this phenomenon is the transition from irregular, noise-driven dynamics to…

适应与自组织系统 · 物理学 2008-11-25 Vicenç Gómez , Andreas Kaltenbrunner , Vicente López , Hilbert J. Kappen

Quantitative descriptions of network structure in big data can provide fundamental insights into the function of interconnected complex systems. Small-world structure, commonly diagnosed by high local clustering yet short average path…

神经元与认知 · 定量生物学 2015-05-12 Sarah Feldt Muldoon , Eric W. Bridgeford , Danielle S. Bassett

We investigate numerically the collective dynamical behavior of pulse-coupled non-leaky integrate-and-fire-neurons that are arranged on a two-dimensional small-world network. To ensure ongoing activity, we impose a probability for…

计算物理 · 物理学 2012-02-15 Alexander Rothkegel , Klaus Lehnertz

Characterization of real-world complex systems increasingly involves the study of their topological structure using graph theory. Among global network properties, small-world property, consisting in existence of relatively short paths…

社会与信息网络 · 计算机科学 2017-02-28 Jaroslav Hlinka , David Hartman , Milan Paluš

Neural circuits must balance local connectivity constraints against the need for global integration. Here we introduce a minimal wiring rule motivated by synaptic crowding: as a neuron accumulates incoming connections, each additional…

神经元与认知 · 定量生物学 2026-03-23 Makoto Fukushima

Recent studies on the complex systems have shown that the synchronization of oscillators including neuronal ones is faster, stronger, and more efficient in the small-world networks than in the regular or the random networks, and many…

无序系统与神经网络 · 物理学 2007-05-23 Chang-Woo Shin , Seunghwan Kim

The synaptic connectivity of cortical networks features an overrepresentation of certain wiring motifs compared to simple random-network models. This structure is shaped, in part, by synaptic plasticity that promotes or suppresses…

神经元与认知 · 定量生物学 2014-12-23 Gabriel Koch Ocker , Ashok Litwin-Kumar , Brent Doiron

We consider a fully-connected network of leaky integrate-and-fire neurons with spike-timing-dependent plasticity. The plasticity is controlled by a parameter representing the expected weight of a synapse between neurons that are firing…

神经元与认知 · 定量生物学 2011-09-23 Chun-Chung Chen , David Jasnow

Synchronous firing of neurons is thought to play important functional roles such as feature binding and switching of cognitive states. Although synchronization has mainly been investigated using model neurons with simple connection topology…

神经元与认知 · 定量生物学 2024-11-26 Naoki Masuda , Kazuyuki Aihara

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

A small-world topology characterizes many complex systems including the structural and functional organization of brain networks. The topology allows simultaneously for local and global efficiency in the interaction of the system…

物理与社会 · 物理学 2015-05-30 Sinisa Pajevic , Dietmar Plenz

Qualitatively, some real networks in the brain could be characterized as 'small worlds', in the sense that the structure of their connections is intermediate between the extremes of an orderly geometric arrangement and of a…

神经元与认知 · 定量生物学 2007-05-23 A. Anishchenko , E. Bienenstock , A. Treves

A mechanism for self-organization of the degree of connectivity in model neural networks is studied. Network connectivity is regulated locally on the basis of an order parameter of the global dynamics which is estimated from an observable…

统计力学 · 物理学 2009-11-07 Stefan Bornholdt , Torsten Roehl

An essential step toward understanding neural circuits is linking their structure and their dynamics. In general, this relationship can be almost arbitrarily complex. Recent theoretical work has, however, begun to identify some broad…

神经元与认知 · 定量生物学 2017-03-10 Gabriel Koch Ocker , Yu Hu , Michael A. Buice , Brent Doiron , Krešimir Josić , Robert Rosenbaum , Eric Shea-Brown

The synaptic connectivity of cortex is plastic, with experience shaping the ongoing interactions between neurons. Theoretical studies of spike timing-dependent plasticity (STDP) have focused on either just pairs of neurons or large-scale…

神经元与认知 · 定量生物学 2016-08-02 Gabriel Koch Ocker , Brent Doiron

Functional connectivity is a fundamental property of neural networks that quantifies the segregation and integration of information between cortical areas. Due to mathematical complexity, a theory that could explain how the parameters of…

神经元与认知 · 定量生物学 2016-05-27 Diego Fasoli , Anna Cattani , Stefano Panzeri

In an all-to-all network of integrate-fire oscillators in which there is a disorder in the intrinsic firing rates of the neurons, we show that through spike timing-dependent plasticity the links which have the faster oscillators as…

神经元与认知 · 定量生物学 2012-01-25 Mehdi Bayati , Alireza Valizadeh
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