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According to some researchers, noise is typically conceived as a detrimental factor in cognitive performance affecting perception, decision making, and motor function. However, in recent studies it is associated with white noise with…

Neurons and Cognition · Quantitative Biology 2018-05-21 Cesar Rommel Salas

Transitions between metastable states are commonly observed in the neural system and underlie various cognitive functions such as working memory. In a previous study, we have developed a neural network model with the slow and fast…

Biological Physics · Physics 2021-04-23 Tomoki Kurikawa

We study the stability and information encoding capacity of synchronized states in a neuronal network model that represents part of thalamic circuitry. Our model neurons have a Hodgkin-Huxley-type low threshold Calcium channel, display post…

Statistical Mechanics · Physics 2007-05-23 P. H. E. Tiesinga , Jorge V. José

Balance of excitation and inhibition is a fundamental feature of in vivo network activity and is important for its computations. However, its presence in the neocortex of higher mammals is not well established. We investigated the dynamics…

Noise can induce coherent oscillations in excitable systems without periodic orbits. Here, we establish a method to derive a hybrid system approximating the noise-induced coherent oscillations in excitable systems and further perform phase…

Adaptation and Self-Organizing Systems · Physics 2022-05-26 Jinjie Zhu , Yuzuru Kato , Hiroya Nakao

We provide an empirical study of the stability of recurrent neural networks trained to recognize regular languages. When a small amount of noise is introduced into the activation function, the neurons in the recurrent layer tend to saturate…

Machine Learning · Computer Science 2021-06-18 Christian Oliva , Luis F. Lago-Fernández

Despite the significance of short-term memory in cognitive function, the process of encoding and sustaining the input information in neural activity dynamics remains elusive. Herein, we unveiled the significance of transient neural dynamics…

Neurons and Cognition · Quantitative Biology 2021-09-01 Kohei Ichikawa , Kunihiko Kaneko

Recurrently coupled oscillators that are sufficiently heterogeneous and/or randomly coupled can show an asynchronous activity in which there are no significant correlations among the units of the network. The asynchronous state can…

Neurons and Cognition · Quantitative Biology 2023-05-03 Jonas Ranft , Benjamin Lindner

Unlike isolated beta-cells, which usually produce continuous spikes or fast and irregular bursts, electrically coupled beta-cells are apt to exhibit robust bursting action potentials. We consider the noise induced by thermal fluctuations as…

Cell Behavior · Quantitative Biology 2007-05-23 J. Jo , H. Kang , M. Y. Choi , D. S. Koh

Working memory (WM) allows information to be stored and manipulated over short time scales. Performance on WM tasks is thought to be supported by the frontoparietal system (FPS), the default mode system (DMS), and interactions between them.…

Neurons and Cognition · Quantitative Biology 2020-09-09 Andrew C. Murphy , Maxwell A. Bertolero , Lia Papadopoulos , David M. Lydon-Staley , Danielle S. Bassett

A neural correlate of parametric working memory is a stimulus specific rise in neuron firing rate that persists long after the stimulus is removed. Network models with local excitation and broad inhibition support persistent neural…

Neurons and Cognition · Quantitative Biology 2013-10-15 Zachary P. Kilpatrick , Bard Ermentrout , Brent Doiron

In recent years, there have been many computational simulations of spontaneous neural dynamics. Here, we explore a model of spontaneous neural dynamics and allow it to control a virtual agent moving in a simple environment. This setup…

Neurons and Cognition · Quantitative Biology 2016-08-19 Peter J. Hellyer , Claudia Clopath , Angie A. Kehagia , Federico E. Turkheimer , Robert Leech

We study the activation process in large assemblies of type II excitable units whose dynamics is influenced by two independent noise terms. The mean-field approach is applied to explicitly demonstrate that the assembly of excitable units…

Chaotic Dynamics · Physics 2016-04-19 Igor Franović , Matjaz Perc , Kristina Todorović , Srđan Kostić , Nikola Burić

We study the role of scale-free structure and noise in collective dynamics of neuronal networks. For this purpose, we simulate and study analytically a cortical circuit model with stochastic neurons. We compare collective neuronal activity…

Disordered Systems and Neural Networks · Physics 2013-03-27 D. Holstein , A. V. Goltsev , J. F. F. Mendes

Natural animal behavior displays rich lexical and temporal dynamics, even in a stable environment. This implies that behavioral variability arises from sources within the brain, but the origin and mechanics of these processes remain largely…

Neurons and Cognition · Quantitative Biology 2020-01-28 Stefano Recanatesi , Ulises Pereira , Masayoshi Murakami , Zachary Mainen , Luca Mazzucato

Slow oscillations are electrical potential oscillations with a spectral peak frequency of $\sim$0.8 Hz, and hallmark the electroencephalogram during slow-wave sleep. Recent studies have indicated a causal contribution of slow oscillations…

Neurons and Cognition · Quantitative Biology 2014-07-31 Hong-Viet V. Ngo , Jens Christian Claussen , Jan Born , Matthias Mölle

A regime of coexistence of asynchronous and clustered dynamics is analyzed for globally coupled homogeneous and heterogeneous inhibitory networks of quadratic integrate-and-fire (QIF) neurons subject to Gaussian noise. The analysis is based…

Disordered Systems and Neural Networks · Physics 2025-05-29 Yannick Feld , Alexander K. Hartmann , Alessandro Torcini

We investigate a model where strong noise in a sub-population creates a metastable state in an otherwise unstable two-population system. The induced metastable state is vortex-like, and its persistence time grows exponentially with the…

Statistical Mechanics · Physics 2013-05-29 Matthew Parker , Alex Kamenev , Baruch Meerson

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…

Neurons and Cognition · Quantitative Biology 2015-06-22 Bóris Marin , Reynaldo Daniel Pinto , Robert C Elson , Eduardo Colli

Neural activity in the brain exhibits correlated fluctuations that may strongly influence the properties of neural population coding. However, how such correlated neural fluctuations may arise from the intrinsic neural circuit dynamics and…

Biological Physics · Physics 2023-10-18 Hengyuan Ma , Yang Qi , Pulin Gong , Jie Zhang , Wenlian Lu , Jianfeng Feng