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Spontaneous formation of clusters of synchronized spiking in a structureless ensemble of equal stochastically perturbed excitable neurons with delayed coupling is demonstrated for the first time. The effect is a consequence of a subtle…

Adaptation and Self-Organizing Systems · Physics 2015-06-04 Igor Franovic , Kristina Todorovic , Nebojsa Vasovic , Nikola Buric

Synaptic connections between neurons in the brain are dynamic because of continuously ongoing spine dynamics, axonal sprouting, and other processes. In fact, it was recently shown that the spontaneous synapse-autonomous component of spine…

Neurons and Cognition · Quantitative Biology 2018-01-08 David Kappel , Robert Legenstein , Stefan Habenschuss , Michael Hsieh , Wolfgang Maass

Rapid anthropogenic environmental changes, including those due to habitat contamination, degradation, and climate change, have far-reaching effects on biological systems that may outpace animals' adaptive responses (Radchuk et al., 2019).…

Neurons and Cognition · Quantitative Biology 2022-10-17 Angie Michaiel , Amy Bernard

Persistent activity is postulated to drive neural network plasticity and learning. To investigate its underlying cellular mechanisms, we developed a biophysically tractable model that explains the emergence, sustenance, and eventual…

Neurons and Cognition · Quantitative Biology 2009-11-13 Vladislav Volman , Richard Gerkin , Pak-Ming Lau , Eshel Ben-Jacob , Guo-Qiang Bi

Synapses change on multiple timescales, ranging from milliseconds to minutes, due to a combination of both short- and long-term plasticity. Here we develop an extension of the common Generalized Linear Model to infer both short- and…

Neurons and Cognition · Quantitative Biology 2022-08-15 Ganchao Wei , Ian H. Stevenson

We address the questions of identifying pairs of interacting neurons from the observation of their spiking activity. The neuronal network is modeled by a system of interacting point processes with memory of variable length. The influence of…

Statistics Theory · Mathematics 2021-06-22 Emilio De Santis , Antonio Galves , Giovanna Nappo , Mauro Piccioni

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

We study the synchronisation of neurons in a realistic model under the Hodgkin-Huxley dynamics. To focus on the role of the different locations of the excitatory synapses, we use two identical neurons where the set of input signals is…

Neurons and Cognition · Quantitative Biology 2024-09-17 Alessandro Fiasconaro , Michele Migliore

In this work we study the detection of weak stimuli by spiking neurons in the presence of certain level of noisy background neural activity. Our study has focused in the realistic assumption that the synapses in the network present…

Neurons and Cognition · Quantitative Biology 2009-06-04 Jorge F. Mejias , Joaquin J. Torres

We examine the dynamical evolution of the state of a neurone, with particular care to the non-equilibrium nature of the forces influencing its movement in state space. We combine non-equilibrium statistical mechanics and dynamical systems…

Neurons and Cognition · Quantitative Biology 2021-02-19 Dalton A R Sakthivadivel

Spiking neural network models characterize the emergent collective dynamics of circuits of biological neurons and help engineer neuro-inspired solutions across fields. Most dynamical systems' models of spiking neural networks typically…

Computational Physics · Physics 2023-04-12 Georg Börner , Fabio Schittler Neves , Marc Timme

Learning and memory relies on synapses changing their strengths in response to neural activity. However there is a substantial gap between the timescales of neural electrical dynamics (1-100 ms) and organism behaviour during learning…

Neurons and Cognition · Quantitative Biology 2023-08-08 Cian O'Donnell

This paper presents a hypothesis that consciousness is a natural result of neurons that become connected recursively, and work synchronously between short and long term memories. Such neurons demonstrate qubit-like properties, each…

Neurons and Cognition · Quantitative Biology 2016-08-26 John Robert Burger

Deciphering the complex interactions between neurotransmission and astrocytic $Ca^{2+}$ elevations is a target promising a comprehensive understanding of brain function. While the astrocytic response to excitatory synaptic activity has been…

Cell Behavior · Quantitative Biology 2019-03-19 Ioannis E. Polykretis , Vladimir A. Ivanov , Konstantinos P. Michmizos

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

The action potential is widely considered a purely electrical phenomenon. However, one also finds mechanical and thermal changes that can be observed experimentally. In particular, nerve membranes become thicker and axons contract. The…

Neurons and Cognition · Quantitative Biology 2025-09-29 T. Heimburg

Multistability, the coexistence of multiple attractors in a dynamical system, is explored in bursting nerve cells. A modeling study is performed to show that a large class of bursting systems, as defined by a shared topology when…

Neurons and Cognition · Quantitative Biology 2010-06-29 J. P. Newman , R. J. Butera

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

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

Recent experiments have highlighted how collective dynamics in networks of brain regions affect behavior and cognitive function. In this paper we show that a simple, homogeneous system of densely connected oscillators representing the…

Pattern Formation and Solitons · Physics 2013-05-31 Rajeev Singh , Shakti N. Menon , Sitabhra Sinha