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Inhibitory interneurons, ubiquitous in the central nervous system, form networks connected through both chemical synapses and gap junctions. These networks are essential for regulating the activity of principal neurons, especially by…

Neurons and Cognition · Quantitative Biology 2025-05-09 Hélène Todd , Mathieu Desroches , Alex Cayco-Gajic , Boris Gutkin

Inhibitory neurons play a crucial role in maintaining persistent neuronal activity. Although connected extensively through electrical synapses (gap-junctions), these neurons also exhibit interactions through chemical synapses in certain…

Neurons and Cognition · Quantitative Biology 2021-04-08 R. Janaki , A. S. Vytheeswaran

We study synaptically coupled neuronal networks to identify the role of coupling delays in network's synchronized behaviors. We consider a network of excitable, relaxation oscillator neurons where two distinct populations, one excitatory…

Neurons and Cognition · Quantitative Biology 2018-01-01 Hwayeon Ryu , Sue Ann Campbell

We study a network of spiking neurons with heterogeneous excitabilities connected via inhibitory delayed pulses. For globally coupled systems the increase of the inhibitory coupling reduces the number of firing neurons by following a Winner…

Disordered Systems and Neural Networks · Physics 2019-05-29 Stefano Luccioli , David Angulo Garcia , Alessandro Torcini

We investigate the stability of synchronization in networks of delay-coupled excitable neural oscillators. On the basis of the master stability function formalism, we demonstrate that synchronization is always stable for excitatory coupling…

Disordered Systems and Neural Networks · Physics 2016-08-10 Judith Lehnert , Thomas Dahms , Philipp Hövel , Eckehard Schöll

Synaptic, dendritic and single-cell kinetics generate significant time delays that shape the dynamics of large networks of spiking neurons. Previous work has shown that such effective delays can be taken into account with a rate model…

Neurons and Cognition · Quantitative Biology 2014-01-31 Alex Roxin , Ernest Montbrio

Synchronized oscillations in networks of inhibitory and excitatory coupled bursting neurons are common in a variety of neural systems from central pattern generators to human brain circuits. One example of the latter is the subcortical…

Neurons and Cognition · Quantitative Biology 2011-09-21 Choongseok Park , Leonid L. Rubchinsky

We study some mechanisms responsible for synchronous oscillations and loss of synchrony at physiologically relevant frequencies (10-200 Hz) in a network of heterogeneous inhibitory neurons. We focus on the factors that determine the level…

Neurons and Cognition · Quantitative Biology 2007-05-23 J. A. White , C. C. Chow , J. Ritt , C. Soto-Trevino , N. Kopell

We study the time delay in the synaptic conductance for suppression of spike synchronisation in a random network of Hodgkin Huxley neurons coupled by means of chemical synapses. In the first part, we examine in detail how the time delay…

Neurons and Cognition · Quantitative Biology 2022-10-19 Matheus Hansen , Paulo R. Protachevicz , Kelly C. Iarosz , Ibere L. Caldas , Antonio M. Batista , Elbert E. N. Macau

The impact of inhibitory and excitatory synapses in delay-coupled Hodgkin--Huxley neurons that are driven by noise is studied. If both synaptic types are used for coupling, appropriately tuned delays in the inhibition feedback induce…

Neurons and Cognition · Quantitative Biology 2012-05-01 Qingyun Wang , Honghui Zhang , Matjaz Perc , Guanrong Chen

A great deal of research has been devoted on the investigation of neural dynamics in various network topologies. However, only a few studies have focused on the influence of autapses, synapses from a neuron onto itself via closed loops, on…

Neurons and Cognition · Quantitative Biology 2020-11-09 P. R. Protachevicz , K. C. Iarosz , I. L. Caldas , C. G. Antonopoulos , A. M. Batista , J. Kurths

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

Oscillators coupled in a network can synchronize with each other to yield a coherent population rhythm. If multiple such networks are coupled together, the question arises whether these rhythms will synchronize. We investigate the impact of…

Adaptation and Self-Organizing Systems · Physics 2016-12-22 John Hongyu Meng , Hermann Riecke

We study analytically the dynamics of a network of sparsely connected inhibitory integrate-and-fire neurons in a regime where individual neurons emit spikes irregularly and at a low rate. In the limit when the number of neurons N tends to…

Disordered Systems and Neural Networks · Physics 2007-05-23 N. Brunel , V. Hakim

Brain plasticity refers to brain's ability to change neuronal connections, as a result of environmental stimuli, new experiences, or damage. In this work, we study the effects of the synaptic delay on both the coupling strengths and…

Neurons and Cognition · Quantitative Biology 2018-11-14 E. L. Lameu , E. E. N. Macau , F. S. Borges , K. C. Iarosz , I. L. Caldas , R. R. Borges , P. R. Protachevicz , R. L. Viana , A. M. Batista

We study a network model of two conductance-based pacemaker neurons of differing natural frequency, coupled with either mutual excitation or inhibition, and receiving shared random inhibitory synaptic input. The networks may phase-lock…

Neurons and Cognition · Quantitative Biology 2009-11-13 Ramana Dodla , Charles J. Wilson

Network couplings of oscillatory large-scale systems, such as the brain, have a space-time structure composed of connection strengths and signal transmission delays. We provide a theoretical framework, which allows treating the spatial…

The activity of neurons is correlated, and this correlation affects how the brain processes information. We study the neural circuit mechanisms of correlations by analyzing a network model characterized by strong and heterogeneous…

Neurons and Cognition · Quantitative Biology 2012-12-03 Alberto Bernacchia , Xiao-Jing Wang

We investigate the dynamical role of inhibitory and highly connected nodes (hub) in synchronization and input processing of leaky-integrate-and-fire neural networks with short term synaptic plasticity. We take advantage of a heterogeneous…

Disordered Systems and Neural Networks · Physics 2017-01-25 Elena Bertolotti , Raffaella Burioni , Matteo di Volo , Alessandro Vezzani

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
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