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It is well known that synchronization patterns and coherence have a major role in the functioning of brain networks, both in pathological and in healthy states. In particular, in the perception of sound, one can observe an increase in…

Adaptation and Self-Organizing Systems · Physics 2024-02-01 Jakub Sawicki , Eckehard Schöll

In this paper, we investigated the neural spikes synchronisation in a neural network with synaptic plasticity and external perturbation. In the simulations the neural dynamics is described by the Hodgkin Huxley model considering chemical…

A network of propagating nonlinear oscillatory modes (waves) in the human brain is shown to generate collectively synchronized spiking activity (hypersynchronous spiking) when both amplitude and phase coupling between modes are taken into…

Biological Physics · Physics 2021-04-28 Vitaly L. Galinsky , Lawrence R. Frank

We continue the work of a series of previous studies of a mathematical model that describes the mean-field limit behavior of a homogeneous network of excitatory point spiking neurons. Contrary to other models, here noise is intrinsic to the…

Neurons and Cognition · Quantitative Biology 2017-07-20 Guillem Via

We investigate the efficient transmission and processing of weak, subthreshold signals in a realistic neural medium in the presence of different levels of the underlying noise. Assuming Hebbian weights for maximal synaptic conductances --…

Biological Physics · Physics 2015-08-19 Joaquin J. Torres , Irene Elices , J. Marro

For a system of type-I neurons bidirectionally coupled through a nonlinear feedback mechanism, we discuss the issue of noise-induced complete synchronization (CS). For the inputs to the neurons, we point out that the rate of change of…

Adaptation and Self-Organizing Systems · Physics 2015-05-18 Nishant Malik , B. Ashok , J. Balakrishnan

Population-wide oscillations are ubiquitously observed in mesoscopic signals of cortical activity. In these network states a global oscillatory cycle modulates the propensity of neurons to fire. Synchronous activation of neurons has been…

Neurons and Cognition · Quantitative Biology 2017-07-04 Tobias Kühn , Moritz Helias

Neuronal network synchronization has received wide interests. Network connection structure is known to play a key role in its synchronization. In the present manuscript, we study the influence of initial membrane potentials together with…

Dynamical Systems · Mathematics 2021-12-14 Xiaoyue Wu , Congping lin , Yiwei Zhang

A fundamental inequality governing the spike activity of peripheral neurons is derived and tested against auditory data. This inequality states that the steady-state firing rate must lie between the arithmetic and geometric means of the…

Neurons and Cognition · Quantitative Biology 2023-08-03 Willy Wong

We devised a measure based on the distributions of relative event timings of two coupled units. The measure dynamically evaluates temporal interdependencies between the two coupled units. Using this we show that even in the event of…

Chaotic Dynamics · Physics 2007-05-23 Michal Zochowski , Rhonda Dzakpasu

At functional scales, cortical behavior results from the complex interplay of a large number of excitable cells operating in noisy environments. Such systems resist to mathematical analysis, and computational neurosciences have largely…

Neurons and Cognition · Quantitative Biology 2014-03-05 Mathieu Galtier , Jonathan Touboul

Cortical neurons are characterized by irregular firing and a broad distribution of rates. The balanced state model explains these observations with a cancellation of mean excitatory and inhibitory currents, which makes fluctuations drive…

Neurons and Cognition · Quantitative Biology 2020-10-15 Alessandro Sanzeni , Mark H Histed , Nicolas Brunel

Synchronization in neural networks is strongly tied to the implementation of cognitive processes, but abnormal neuronal synchronization has been linked to a number of brain disorders such as epilepsy and schizophrenia. Here we examine the…

Neurons and Cognition · Quantitative Biology 2020-02-27 Brenton Maisel , Katja Lindenberg

Neural dynamics is determined by the transmission of discrete synaptic pulses (synaptic shot-noise) among neurons. However, the neural responses are usually obtained within the diffusion approximation modeling synaptic inputs as continuous…

Disordered Systems and Neural Networks · Physics 2025-10-17 Denis S. Goldobin , Maria V. Ageeva , Matteo di Volo , Ferdinand Tixidre , Alessandro Torcini

The emergence of collective behaviors in networks of dynamical units in pairwise interaction has been explained as the effect of diffusive coupling. How does the presence of higher-order interaction impact the onset of spontaneous or…

Adaptation and Self-Organizing Systems · Physics 2023-10-05 Fabio Della Rossa , Davide Liuzza , Francesco Lo Iudice , Pietro De Lellis

Transient and equilibrium synchronizations in complex neuronal networks as a consequence of dynamics induced by having sources placed at specific neurons are investigated. The basic integrate-and-fire neuron is adopted, and the dynamics is…

Neurons and Cognition · Quantitative Biology 2008-02-18 Luciano da Fontoura Costa

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…

Chaotic Dynamics · Physics 2007-05-23 Mikhail V. Ivanchenko , Grigory V. Osipov , Vladimir D. Shalfeev , Jurgen Kurths

We study the spike statistics of neurons in a network with dynamically balanced excitation and inhibition. Our model, intended to represent a generic cortical column, comprises randomly connected excitatory and inhibitory leaky…

Neurons and Cognition · Quantitative Biology 2007-05-23 Alexander Lerchner , Cristina Ursta , John Hertz , Mandana Ahmadi , Pauline Ruffiot

This paper studies a stochastic neural field model that is extended from our previous paper [14]. The neural field model consists of many heterogeneous local populations of neurons. Rigorous results on the stochastic stability are proved,…

Probability · Mathematics 2018-07-06 Yao Li , Hui Xu

We are interested in understanding the neural correlates of attentional processes using first principles. Here we apply a recently developed first principles approach that uses transmitted information in bits per joule to quantify the…

Information Theory · Computer Science 2016-05-13 Siavash Ghavami , Vahid Rahmati , Farshad Lahouti , Lars Schwabe