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In neurosciences, the brain processes information via the firing patterns of connected neurons operating across a spectrum of frequencies. To better understand the effects of these frequencies in the neuron dynamics, we have simulated a…

Neurons and Cognition · Quantitative Biology 2025-11-21 Gabriel Marghoti , Thiago L. Prado , Miguel A. F. Sanjuán , Sergio R. Lopes

Circadian rhythmicity lies at the center of various important physiological and behavioral processes in mammals, such as sleep, metabolism, homeostasis, mood changes and more. It has been shown that this rhythm arises from self-sustained…

Neurons and Cognition · Quantitative Biology 2023-02-08 Yorgos M. Psarellis , Michail Kavousanakis , Michael A. Henson , Ioannis G. Kevrekidis

Synchronization underlies phenomena including memory and perception in the brain, coordinated motion of animal flocks, and stability of the power grid. These synchronization phenomena are often modeled through networks of phase-coupled…

Systems and Control · Computer Science 2015-11-02 Andrew Clark , Basel Alomair , Linda Bushnell , Radha Poovendran

Many coordination phenomena in Nature are grounded on a synchronisation regime. In the case of brain dynamics, such self-organised process allows the neurons of particular brain regions to behave as a whole and thus directly controlling the…

Adaptation and Self-Organizing Systems · Physics 2018-10-02 Malbor Asllani , Timoteo Carletti

This article investigates the emergence of phase synchronization in a network of randomly connected neurons by chemical synapses. The study uses the classic Hodgkin-Huxley model to simulate the neuronal dynamics under the action of a train…

The critical brain hypothesis states that there are information processing advantages for neuronal networks working close to the critical region of a phase transition. If this is true, we must ask how the networks achieve and maintain this…

Disordered Systems and Neural Networks · Physics 2020-10-22 Osame Kinouchi , Renata Pazzini , Mauro Copelli

The study of synchronization in biological systems is essential for the understanding of the rhythmic phenomena of living organisms at both molecular and cellular levels. In this paper, by using simple dynamical systems theory, we present a…

Molecular Networks · Quantitative Biology 2007-05-23 Chunguang Li , Luonan Chen , Kazuyuki Aihara

Functional networks provide a topological description of activity patterns in the brain, as they stem from the propagation of neural activity on the underlying anatomical or structural network of synaptic connections. This latter is well…

Disordered Systems and Neural Networks · Physics 2021-02-11 Ali Safari , Paolo Moretti , Ibai Diez , Jesus M. Cortes , Miguel Ángel Muñoz

Phase transitions and critical behavior are crucial issues both in theoretical and experimental neuroscience. We report analytic and computational results about phase transitions and self-organized criticality (SOC) in networks with general…

Adaptation and Self-Organizing Systems · Physics 2016-10-07 L. Brochini , A. A. Costa , M. Abadi , A. C. Roque , J. Stolfi , O. Kinouchi

The response of a neuron to synaptic input strongly depends on whether or not it has just emitted a spike. We propose a neuron model that after spike emission exhibits a partial response to residual input charges and study its collective…

Neurons and Cognition · Quantitative Biology 2010-06-04 Christoph Kirst , Theo Geisel , Marc Timme

Despite their significant functional roles, beta-band oscillations are least understood. Synchronization in neuronal networks have attracted much attention in recent years with the main focus on transition type. Whether one obtains…

Adaptation and Self-Organizing Systems · Physics 2018-10-22 Mahsa Khoshkhou , Afshin Montakhab

The time elapsed model describes the firing activity of an homogeneous assembly of neurons thanks to the distribution of times elapsed since the last discharge. It gives a mathematical description of the probability density of neurons…

Analysis of PDEs · Mathematics 2011-09-16 Khashayar Pakdaman , Benoît Perthame , Delphine Salort

Brain functions require both segregated processing of information in specialized circuits, as well as integration across circuits to perform high-level information processing. One possible way to implement these seemingly opposing demands…

Information processing in complex systems is often found to be maximally efficient close to critical states associated with phase transitions. It is therefore conceivable that also neural information processing operates close to…

Neurons and Cognition · Quantitative Biology 2015-05-13 Christian Meisel , Thilo Gross

Neural-network models of high-level brain functions such as memory recall and reasoning often rely on the presence of stochasticity. The majority of these models assumes that each neuron in the functional network is equipped with its own…

Neurons and Cognition · Quantitative Biology 2022-05-17 Jakob Jordan , Mihai A. Petrovici , Oliver Breitwieser , Johannes Schemmel , Karlheinz Meier , Markus Diesmann , Tom Tetzlaff

Understanding the relationship between large-scale structural and functional brain networks remains a crucial issue in modern neuroscience. Recently, there has been growing interest in investigating the role of homeostatic plasticity…

Neurons and Cognition · Quantitative Biology 2018-10-25 Rodrigo P. Rocha , Loren Koçillari , Samir Suweis , Maurizio Corbetta , Amos Maritan

A spontaneously active neural system that is capable of continual learning should also be capable of homeostasis of both firing rate and connectivity. Experimental evidence suggests that both types of homeostasis exist, and that…

Neurons and Cognition · Quantitative Biology 2007-10-15 David Hsu , Aonan Tang , Murielle Hsu , John M. Beggs

How the information microscopically processed by individual neurons is integrated and used in organizing the behavior of an animal is a central question in neuroscience. The coherence of neuronal dynamics over different scales has been…

Disordered Systems and Neural Networks · Physics 2020-03-11 Takashi Hayakawa , Tomoki Fukai

Synchronous oscillations in neuronal ensembles have been proposed to provide a neural basis for the information processes in the brain. In this work, we present a neuromorphic computing algorithm based on oscillator synchronization in a…

Neural and Evolutionary Computing · Computer Science 2019-05-01 Jaesung Choi , Pilwon Kim

We study patterns of partial synchronization in a network of FitzHugh-Nagumo oscillators with empirical structural connectivity measured in human subjects. We report the spontaneous occurrence of synchronization phenomena that closely…

Adaptation and Self-Organizing Systems · Physics 2021-02-03 M. Gerster , R. Berner , J. Sawicki , A. Zakharova , A. Škoch , J. Hlinka , K. Lehnertz , E. Schöll