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A coupled map is suggested to investigate various spatial or temporal designs in biology: Several cells (or tissues) in an organ are considered as connected to each other in terms of some molecular diffusions or electrical potential…

General Physics · Physics 2011-06-07 Caglar Tuncay

Since the earliest electroencephalography experiments, large scale oscillations have been observed in the mammalian brain. More recently, episodes of oscillation and bursting have been identified not only in the cerebral cortex and…

Neurons and Cognition · Quantitative Biology 2025-09-03 Daniel Pouzzner

In an all-to-all network of integrate-fire oscillators in which there is a disorder in the intrinsic firing rates of the neurons, we show that through spike timing-dependent plasticity the links which have the faster oscillators as…

Neurons and Cognition · Quantitative Biology 2012-01-25 Mehdi Bayati , Alireza Valizadeh

We consider a model of a square-wave bursting neuron residing in the regime of tonic spiking. Upon introduction of small stochastic forcing, the model generates irregular bursting. The statistical properties of the emergent bursting…

Adaptation and Self-Organizing Systems · Physics 2008-11-11 Pawel Hitczenko , Georgi S. Medvedev

Inspired by spiking neural feedback, we propose a spiking controller for efficient locomotion in a soft robotic crawler. Its bistability, akin to neural fast positive feedback, combined with a sensorimotor slow negative feedback loop,…

Systems and Control · Electrical Eng. & Systems 2026-02-19 Juncal Arbelaiz , Alessio Franci , Naomi Ehrich Leonard , Rodolphe Sepulchre , Bassam Bamieh

How spiking neuronal networks encode memories in their different time and spatial scales constitute a fundamental topic in neuroscience and neuro-inspired engineering. Much attention has been paid to large networks and long-term memory, for…

Neurons and Cognition · Quantitative Biology 2023-03-23 Fabio Schittler Neves , Marc Timme

When inhibitory neurons constitute about 40% of neurons they could have an important antinociceptive role, as they would easily regulate the level of activity of other neurons. We consider a simple network of cortical spiking neurons with…

Neurons and Cognition · Quantitative Biology 2014-01-28 Fernando Montani , Emilia B. Deleglise , Osvaldo A. Rosso

We propose a new mean-field model of brain rhythms governed by astrocytes. This theoretical framework describes how astrocytes can regulate neuronal activity and contribute to the generation of brain rhythms. The model describes at the…

Neurons and Cognition · Quantitative Biology 2024-05-07 Sergey V. Stasenko , Sergey M. Olenin , Eugene A. Grines , Tatiana A. Levanova

Using a realistic model of activity dependent dynamical synapses and a standard integrate and fire neuron model we study, both analytically and numerically, the conditions in which a postsynaptic neuron efficiently detects temporal…

Neurons and Cognition · Quantitative Biology 2007-05-23 Jorge F. Mejias , Joaquin J. Torres

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

Similar activity patterns may arise from model neural networks with distinct coupling properties and individual unit dynamics. These similar patterns may, however, respond differently to parameter variations and, specifically, to tuning of…

Neurons and Cognition · Quantitative Biology 2023-06-16 Zhuojun Yu , Jonathan E. Rubin , Peter J. Thomas

Synchronized brain rhythms, associated with diverse cognitive functions, have been observed in electrical recordings of brain activity. Neural synchronization may be well described by using the population-averaged global potential $V_G$ in…

Neurons and Cognition · Quantitative Biology 2014-03-07 Sang-Yoon Kim , Woochang Lim

In the classic view of cortical rhythms, the interaction between excitatory pyramidal neurons (E) and inhibitory parvalbumin neurons (I) has been shown to be sufficient to generate gamma and beta band rhythms. However, it is now clear that…

Neurons and Cognition · Quantitative Biology 2025-10-27 Arnab Dey Sarkar , Bard Ermentrout

Over the brief time intervals available for processing retinal output, roughly 50 to 300 msec, the number of extra spikes generated by individual ganglion cells can be quite variable. Here, computer-generated spike trains were used to…

Neurons and Cognition · Quantitative Biology 2007-09-14 Garrett T. Kenyon

In this paper we present a simple microscopic stochastic model describing short term plasticity within a large homogeneous network of interacting neurons. Each neuron is represented by its membrane potential and by the residual calcium…

Probability · Mathematics 2020-01-29 Antonio Galves , Eva Löcherbach , Christophe Pouzat , Errico Presutti

Understanding how the brain learns to compute functions reliably, efficiently and robustly with noisy spiking activity is a fundamental challenge in neuroscience. Most sensory and motor tasks can be described as dynamical systems and could…

Neurons and Cognition · Quantitative Biology 2017-05-24 Sophie Denève , Alireza Alemi , Ralph Bourdoukan

We tackle a quantification of synchrony in a large ensemble of interacting neurons from the observation of spiking events. In a simulation study, we efficiently infer the synchrony level in a neuronal population from a point process…

Neurons and Cognition · Quantitative Biology 2025-03-25 Arkady Pikovsky , Michael Rosenblum

Oscillations are a hallmark of neural population activity in various brain regions with a spectrum covering a wide range of frequencies. Within this spectrum gamma oscillations have received particular attention due to their ubiquitous…

Neurons and Cognition · Quantitative Biology 2020-01-22 Hongjie Bi , Marco Segneri , Matteo di Volo , Alessandro Torcini

Neuromorphic processors that implement Spiking Neural Networks (SNNs) using mixed-signal analog/digital circuits represent a promising technology for closed-loop real-time processing of biosignals. As in biology, to minimize power…

Signal Processing · Electrical Eng. & Systems 2023-09-29 Rachel Sava , Elisa Donati , Giacomo Indiveri

Networks of fast-spiking interneurons are crucial for the generation of neural oscillations in the brain. Here we study the synchronous behavior of interneuronal networks that are coupled by delayed inhibitory and fast electrical synapses.…

Neurons and Cognition · Quantitative Biology 2012-06-22 Daqing Guo , Qingyun Wang , Matjaz Perc
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