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Randomly connected networks of excitatory and inhibitory spiking neurons provide a parsimonious model of neural variability, but are notoriously unreliable for performing computations. We show that this difficulty is overcome by…

神经元与认知 · 定量生物学 2017-01-11 Ryan Pyle , Robert Rosenbaum

We investigate the properties of an autoassociative network of threshold-linear units whose synaptic connectivity is spatially structured and asymmetric. Since the methods of equilibrium statistical mechanics cannot be applied to such a…

无序系统与神经网络 · 物理学 2009-11-10 Yasser Roudi , Alessandro Treves

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

Complexity in the temporal organization of neural systems may be a reflection of the diversity of its neural constituents. These constituents, excitatory and inhibitory neurons, comprise an invariant ratio in vivo and form the substrate for…

神经元与认知 · 定量生物学 2015-05-18 Xin Chen , Rhonda Dzakpasu

We analyze networked heterogeneous nonlinear systems, with diffusive coupling and interconnected over a generic static directed graph. Due to the network's hetereogeneity, complete synchronization is impossible, in general, but an emergent…

最优化与控制 · 数学 2022-06-01 Mohamed Maghenem , Elena Panteley , Antonio Loria

Spatial relations between neurons in the network with time delays play a crucial role in determining dynamics of the system. During the development of the nervous system different types of neurons group together to enable specific functions…

适应与自组织系统 · 物理学 2019-12-18 Michał Łepek , Piotr Fronczak

Spiking neural networks (SNNs) exploit event-driven and addition-only computation to substantially improve efficiency for intelligent computation. A key temporal property of SNNs, elastic inference, allows outputs to emerge progressively,…

硬件体系结构 · 计算机科学 2026-05-21 Kang You , Chen Nie , Lee Jun Yan , Ziling Wei , Cheng Zou , Zekai Xu , Yu Feng , Honglan Jiang , Zhezhi He

Large-scale white matter pathways crisscrossing the cortex create a complex pattern of connectivity that underlies human cognitive function. Generative mechanisms for this architecture have been difficult to identify in part because little…

神经元与认知 · 定量生物学 2015-06-16 Florian Klimm , Danielle S. Bassett , Jean M. Carlson , Peter J. Mucha

A novel approach to moment closure problem is used to derive low dimensional laws for the dynamics of the moments of the membrane potential distribution in a population of spiking neurons. Using spectral expansion of the density equation we…

统计力学 · 物理学 2025-07-08 Gianni Valerio Vinci , Roberto Benzi , Maurizio Mattia

Complex networks are the subject of fundamental interest from the scientific community at large. Several metrics have been introduced to characterize the structure of these networks, such as the degree distribution, degree correlation, path…

物理与社会 · 物理学 2019-01-14 Francesco Sorrentino , Abu Bakar Siddique , Louis M. Pecora

First return maps of interspike intervals for biological neurons that generate repetitive bursts of impulses can display stereotyped structures (neuronal signatures). Such structures have been linked to the possibility of multicoding and…

神经元与认知 · 定量生物学 2015-06-22 Bóris Marin , Reynaldo Daniel Pinto , Robert C Elson , Eduardo Colli

A given neural network in the brain is involved in many different tasks. This implies that, when considering a specific task, the network's connectivity contains a component which is related to the task and another component which can be…

神经元与认知 · 定量生物学 2021-03-17 Friedrich Schuessler , Alexis Dubreuil , Francesca Mastrogiuseppe , Srdjan Ostojic , Omri Barak

Large scale neural recordings have established that the transformation of sensory stimuli into motor outputs relies on low-dimensional dynamics at the population level, while individual neurons exhibit complex selectivity. Understanding how…

神经元与认知 · 定量生物学 2018-08-29 Francesca Mastrogiuseppe , Srdjan Ostojic

The mammalian brain could contain dense and sparse network connectivity structures, including both excitatory and inhibitory neurons, but is without any clearly defined output layer. The neurons have time constants, which mean that the…

神经元与认知 · 定量生物学 2021-06-04 Udaya B. Rongala , Henrik Jörntell

We report on the origin of synchronized bursting dynamics in various networks of neural spiking oscillators, when a certain threshold in coupling strength is exceeded. These ensembles synchronize at relatively low coupling strength and lose…

混沌动力学 · 物理学 2007-05-23 Mikhail V. Ivanchenko , Grigory V. Osipov , Vladimir D. Shalfeev , Jurgen Kurths

Brain plasticity, also known as neuroplasticity, is a fundamental mechanism of neuronal adaptation in response to changes in the environment or due to brain injury. In this review, we show our results about the effects of synaptic…

A major challenge in neuroimaging is understanding the mapping of neurophysiological dynamics onto cognitive functions. Traditionally, these maps have been constructed by examining changes in the activity magnitude of regions related to…

Firing patterns in the central nervous system often exhibit strong temporal irregularity and heterogeneity in their time averaged response properties. Previous studies suggested that these properties are outcome of an intrinsic chaotic…

无序系统与神经网络 · 物理学 2015-11-25 Jonathan Kadmon , Haim Sompolinsky

Among the versatile forms of dynamical patterns of activity exhibited by the brain, oscillations are one of the most salient and extensively studied, yet are still far from being well understood. In this paper, we provide various structural…

系统与控制 · 电气工程与系统科学 2021-08-12 Erfan Nozari , Robert Planas , Jorge Cortes

Experimental fMRI studies have shown that spontaneous brain activity i.e. in the absence of any external input, exhibit complex spatial and temporal patterns of co-activity between segregated brain regions. These so-called large-scale…

适应与自组织系统 · 物理学 2015-06-23 Vesna Vuksanović , Philipp Hövel