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Neurons fire irregularly on multiple timescales when stimulated with a periodic pulse train. This raises two questions: Does this irregularity imply significant intrinsic stochasticity? Can existing neuron models be readily extended to…

Cell Behavior · Quantitative Biology 2013-01-14 Daniel Soudry , Ron Meir

Understanding of short-term synaptic depression (STSD) and other forms of synaptic plasticity is a topical problem in neuroscience. Here we study the role of STSD in the formation of complex patterns of brain rhythms. We use a cortical…

Disordered Systems and Neural Networks · Physics 2015-06-12 K. -E. Lee , A. V. Goltsev , M. A. Lopes , J. F. F. Mendes

It is currently accepted that cortical maps are dynamic constructions that are altered in response to external input. Experience-dependent structural changes in cortical microcurcuts lead to changes of activity, i.e. to changes in…

Neurons and Cognition · Quantitative Biology 2013-02-26 F. Gafarov , N. Khusnutdinov , F. Galimyanov

Neural variability plays a central role in neural coding and neuronal network dynamics. Unreliability of synaptic transmission is a major source of neural variability: synaptic neurotransmitter vesicles are released probabilistically in…

Neurons and Cognition · Quantitative Biology 2012-10-29 Steven Reich , Robert Rosenbaum

Neuronal activity induces changes in blood flow by locally dilating vessels in the brain microvasculature. How can the local dilation of a single vessel increase flow-based metabolite supply, given that flows are globally coupled within…

Biological Physics · Physics 2019-12-02 Felix J. Meigel , Peter Cha , Michael P. Brenner , Karen Alim

We address the problem of identifying functional interactions among stochastic neurons with variable-length memory from their spiking activity. The neuronal network is modeled by a stochastic system of interacting point processes with…

Applications · Statistics 2025-07-01 Ricardo F. Ferreira , Matheus E. Pacola , Vitor G. Schiavone , Rodrigo F. O. Pena

Cortical network functioning critically depends on finely tuned interactions to afford neuronal activity propagation over long distances while avoiding runaway excitation. This importance is highlighted by the pathological consequences and…

Neurons and Cognition · Quantitative Biology 2022-10-12 Christian Meisel

Correlations are employed in modern physics to explain microscopic and macroscopic phenomena, like the fractional quantum Hall effect and the Mott insulator state in high temperature superconductors and ultracold atoms. Simultaneously…

Neurons and Cognition · Quantitative Biology 2013-02-20 Moritz Helias , Tom Tetzlaff , Markus Diesmann

Neural activity exhibits a vast range of timescales that can be several fold larger than the membrane time constant of individual neurons. Two types of mechanisms have been proposed to explain this conundrum. One possibility is that large…

Neurons and Cognition · Quantitative Biology 2019-03-26 Manuel Beiran , Srdjan Ostojic

We investigate the dynamics of a network consisting of an array of identical cortical units with nearest neighbor interactions under periodic arousal. Each unit consists of two interconnected populations of neurons tuned to a state in which…

Neurons and Cognition · Quantitative Biology 2019-02-12 Leandro M. Alonso

We show that the unavoidable increase in neuronal response latency to ongoing stimulation serves as a nonuniform gradual stretching of neuronal circuit delay loops and emerges as an essential mechanism in the formation of various types of…

Neurons and Cognition · Quantitative Biology 2012-12-07 Roni Vardi , Reut Timor , Shimon Marom , Moshe Abeles , Ido Kanter

Synchronization of neural activity in the gamma frequency band is associated with various cognitive phenomena. Abnormalities of gamma synchronization may underlie symptoms of several neurological and psychiatric disorders such as…

Neurons and Cognition · Quantitative Biology 2024-07-02 Quynh-Anh Nguyen , Leonid L Rubchinsky

We consider two neuronal networks coupled by long-range excitatory interactions. Oscillations in the gamma frequency band are generated within each network by local inhibition. When long-range excitation is weak, these oscillations…

Neurons and Cognition · Quantitative Biology 2009-11-13 Demian Battaglia , Nicolas Brunel , David Hansel

We study a mechanism of activity sustaining on networks inspired by a well-known model of neuronal dynamics. Our primary focus is the emergence of self-sustaining collective activity patterns, where no single node can stay active by itself,…

Physics and Society · Physics 2017-12-27 A. E. Allahverdyan , G. Ver Steeg , A. Galstyan

We disclose the generality of the intrinsic mechanisms underlying multistability in reciprocally inhibitory 3-cell circuits composed of simplified, low-dimensional models of oscillatory neurons, as opposed to those of a detailed Hodgkin-…

Adaptation and Self-Organizing Systems · Physics 2020-08-26 J. Collens , K. Pusuluri , A. Kelly , D. Knapper , T. Xing , S. Basodi , D. Alacam , A. L. Shilnikov

We study the effect of intrinsic heterogeneity on the activity of a population of leaky integrate-and-fire neurons. By rescaling the dynamical equation, we derive mathematical relations between multiple neuronal parameters and a fluctuating…

Neurons and Cognition · Quantitative Biology 2013-08-21 Man Yi Yim , Ad Aertsen , Stefan Rotter

How the very first nervous systems evolved remains a fundamental open question. Molecular and genomic techniques have revolutionized our knowledge of the molecular ingredients behind this transition but not yet provided a clear picture of…

Neurons and Cognition · Quantitative Biology 2017-10-31 Ronald A. J. van Elburg , Oltman O. de Wiljes , Michael Biehl , Fred A. Keijzer

Our mysterious brain is believed to operate near a non-equilibrium point and generate critical self-organized avalanches in neuronal activity. Recent experimental evidence has revealed significant heterogeneity in both synaptic input and…

Neurons and Cognition · Quantitative Biology 2018-07-12 Shengdun Wu , Yangsong Zhang , Yan Cui , Heng Li , Jiakang Wang , Lijun Guo , Yang Xia , Dezhong Yao , Peng Xu , Daqing Guo

Synchronization of activity among myocytes constituting vital organs, e.g., the heart, is crucial for physiological functions. Self-organized coordination in such heterogeneous ensemble of excitable and oscillatory cells is therefore of…

Tissues and Organs · Quantitative Biology 2024-08-21 Soling Zimik , Sitabhra Sinha

Experimental and numerical results suggest that the brain can be viewed as a system acting close to a critical point, as confirmed by scale-free distributions of relevant quantities in a variety of different systems and models. Less…

Neurons and Cognition · Quantitative Biology 2020-11-25 Dario Raimo , Alessandro Sarracino , Lucilla de Arcangelis