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Rapid action potential generation --- spiking --- and alternating intervals of spiking and quiescence --- bursting --- are two dynamic patterns observed in neuronal activity. In computational models of neuronal systems, the transition from…

Neurons and Cognition · Quantitative Biology 2011-07-15 John Burke , Mathieu Desroches , Anna M. Barry , Tasso J. Kaper , Mark A. Kramer

In [1], we have shown that the dynamics of an interconnected population of excitatory and inhibitory spiking neurons wandering around a Bogdanov-Takens (BT)bifurcation point can generate the observed scale-free avalanches at the population…

Biological Physics · Physics 2022-04-05 Masud Ehsani , Jürgen Jost

We have studied neuronal synchronisation in a random network of adaptive exponential integrate-and-fire neurons. We study how spiking or bursting synchronous behaviour appears as a function of the coupling strength and the probability of…

People communicate with those who have the same background or share a common interest by using a social networking service (SNS). News or messages propagate through inhomogeneous connections in an SNS by sharing or facilitating additional…

Physics and Society · Physics 2015-04-16 Tomokatsu Onaga , Shigeru Shinomoto

The spiking activity of neocortical neurons exhibits a striking level of variability, even when these networks are driven by identical stimuli. The approximately Poisson firing of neurons has led to the hypothesis that these neural networks…

Neurons and Cognition · Quantitative Biology 2023-12-29 Logan A. Becker , Baowang Li , Nicholas J. Priebe , Eyal Seidemann , Thibaud Taillefumier

Predicting user influence in social networks is a critical problem, and hypergraphs, as a prevalent higher-order modeling approach, provide new perspectives for this task. However, the absence of explicit cascade or infection probability…

Social and Information Networks · Computer Science 2025-08-22 Su-Su Zhang , JinFeng Xie , Yang Chen , Min Gao , Cong Li , Chuang Liu , Xiu-Xiu Zhan

Neuronal excitability is the phenomena that describes action potential generation due to a stimulus input. Commonly, neuronal excitability is divided into two classes: Type I and Type II, both having different properties that affect…

Neurons and Cognition · Quantitative Biology 2020-11-03 Jantine A. C. Broek , Guillaume Drion

Long-time series of neuronal recordings are resulting from the activity of connected neuronal networks. Yet how neuronal properties can be extracted remains empirical. We review here the data analysis based on network models to recover…

Neurons and Cognition · Quantitative Biology 2024-11-04 Lou Zonca , Elena Dossi , Nathalie Rouach , D. Holcman

We show that \emph{stochastic bursting} is observed in a ring of unidirectional delay-coupled noisy excitable systems, thanks to the combinational action of time-delayed coupling and noise. Under the approximation of timescale separation,…

Disordered Systems and Neural Networks · Physics 2019-05-01 Chunming Zheng , Arkady Pikovsky

Modeling and parameter estimation for neuronal dynamics are often challenging because many parameters can range over orders of magnitude and are difficult to measure experimentally. Moreover, selecting a suitable model complexity requires a…

Dynamical Systems · Mathematics 2018-01-31 J. E. Rubin , B. Krauskopf , H. M. Osinga

The highly variable dynamics of neocortical circuits observed in vivo have been hypothesized to represent a signature of ongoing stochastic inference but stand in apparent contrast to the deterministic response of neurons measured in vitro.…

Neurons and Cognition · Quantitative Biology 2017-03-14 Mihai A. Petrovici , Johannes Bill , Ilja Bytschok , Johannes Schemmel , Karlheinz Meier

At the single-neuron level, precisely timed spikes can either constitute firing-rate codes or spike-pattern codes that utilize the relative timing between consecutive spikes. There has been little experimental support for the hypothesis…

Neurons and Cognition · Quantitative Biology 2009-12-18 Hugo Gabriel Eyherabide , Ariel Rokem , Andreas V. M. Herz , Ines Samengo

We consider a threshold-crossing spiking process as a simple model for the activity within a population of neurons. Assuming that these neurons are driven by a common fluctuating input with Gaussian statistics, we evaluate the…

Neurons and Cognition · Quantitative Biology 2009-06-11 Yoram Burak , Sam Lewallen , Haim Sompolinsky

This article underlines the learning and discrimination capabilities of a model of associative memory based on artificial networks of spiking neurons. Inspired from neuropsychology and neurobiology, the model implements top-down…

Neural and Evolutionary Computing · Computer Science 2016-08-16 Anthony Mouraud , Hélène Paugam-Moisy

We prove that complex networks of interactions have the capacity to regulate and buffer unpredictable fluctuations in production events. We show that non-bursty network-driven activation dynamics can effectively regulate the level of…

Physics and Society · Physics 2014-10-15 Guillermo García-Pérez , Marián Boguñá , M. Ángeles Serrano

Bursting oscillations are commonly seen as a mechanism for information coding in neuroscience and have also been observed in many physical, biochemical, and chemical systems. This study focuses on the computational investigation of…

Dynamical Systems · Mathematics 2021-10-15 Na Yu , Xuan Xia , Juan Liyau

Bump attractors are wandering localised patterns observed in in vivo experiments of spatially-extended neurobiological networks. They are important for the brain's navigational system and specific memory tasks. A bump attractor is…

Dynamical Systems · Mathematics 2021-12-15 D. Avitabile , J. L. Davis , K. C. A. Wedgwood

Developing networks of neural systems can exhibit spontaneous, synchronous activities called neural bursts, which can be important in the organization of functional neural circuits. Before the network matures, the activity level of a burst…

Neurons and Cognition · Quantitative Biology 2017-05-24 Chih-Hsu Huang , Yu-Ting Huang , Chun-Chung Chen , C. K. Chan

Burstiness, the tendency of interaction events to be heterogeneously distributed in time, is critical to information diffusion in physical and social systems. However, an analytical framework capturing the effect of burstiness on generic…

Physics and Society · Physics 2020-07-14 Samuel Unicomb , Gerardo Iñiguez , James P. Gleeson , Márton Karsai

We propose a discrete time dynamical system (a map) as phenomenological model of excitable and spiking-bursting neurons. The model is a discontinuous two-dimensional map. We find condition under which this map has an invariant region on the…

Neurons and Cognition · Quantitative Biology 2009-11-13 Maurice Courbage , V. I. Nekorkin , L. V. Vdovin
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