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Topological techniques have become a popular tool for studying information flows in neural networks. In particular, simplicial homology theory is used to analyze how cognitive representations of space emerge from large conglomerates of…

Neurons and Cognition · Quantitative Biology 2025-02-19 Andrey Babichev , Vladimir Vashin , Yuri Dabaghian

Neuronal oscillations are closely related to the symptoms of Parkinson's disease (PD). In this study, we explore how random fluctuations (or "stochastic inputs") affect these oscillations in brain states, which reflect the collective…

Neurons and Cognition · Quantitative Biology 2025-02-24 Thoa Thieu , Roderick Melnik

Recurrently connected neuron populations play key roles in sensory perception and memory storage across various brain regions. While these populations are often assumed to encode information through firing rates, this method becomes…

Neurons and Cognition · Quantitative Biology 2025-09-05 Mauricio Girardi-Schappo , Leonard Maler , André Longtin

We report on localized patches of cellular hexagons observed on the surface of a magnetic fluid in a vertical magnetic field. These patches are spontaneously generated by jumping into the neighborhood of the unstable branch of the domain…

Pattern Formation and Solitons · Physics 2015-09-25 David J. B. Lloyd , Christian Gollwitzer , Ingo Rehberg , Reinhard Richter

Learning in the brain requires complementary mechanisms: potentiation and activity-dependent homeostatic scaling. We introduce synaptic scaling to a biologically-realistic spiking model of neocortex which can learn changes in oscillatory…

Neurons and Cognition · Quantitative Biology 2013-04-09 Mark Rowan , Samuel Neymotin

Spike timing dependent plasticity (STDP) is believed to play an important role in shaping the structure of neural circuits. Here we show that STDP generates effective interactions between synapses of different neurons, which were neglected…

Neurons and Cognition · Quantitative Biology 2016-08-25 Neta Ravid Tannenbaum , Yoram Burak

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

The nervous system represents time-dependent signals in sequences of discrete action potentials or spikes, all spikes are identical so that information is carried only in the spike arrival times. We show how to quantify this information, in…

Condensed Matter · Physics 2008-02-03 S. P. Strong , Roland Koberle , Rob R. de Ruyter van Steveninck , William Bialek

The modular and hierarchical organization of the brain is believed to support the coexistence of segregated (specialization) and integrated (binding) information processes. A relevant question is yet to understand how such architecture…

Neurons and Cognition · Quantitative Biology 2025-06-19 Raphaël Bergoin , Alessandro Torcini , Gustavo Deco , Mathias Quoy , Gorka Zamora-López

Synaptic plasticity seems to be a capital aspect of the dynamics of neural networks. It is about the physiological modifications of the synapse, which have like consequence a variation of the value of the synaptic weight. The information…

Computer Vision and Pattern Recognition · Computer Science 2012-09-25 Tarek Behi , Najet Arous , Noureddine Ellouze

The use of cortical field potentials rather than the details of spike trains as the basis for cognitive information processing is proposed. This results in a space of cognitive elements with natural metrics. Sets of spike trains may also be…

Disordered Systems and Neural Networks · Physics 2016-08-31 Henry C. Tuckwell

Neural field equations are integro-differential systems describing the macroscopic activity of spatially extended pieces of cortex. In such cortical assemblies, the propagation of information and the transmission machinery induce…

Dynamical Systems · Mathematics 2014-02-05 Grégory Faye , Jonathan Touboul

The functioning of an organ such as the brain emerges from interactions between its constituent parts. Further, this interaction is not immutable in time but rather unfolds in a succession of patterns, thereby allowing the brain to adapt to…

Neurons and Cognition · Quantitative Biology 2021-06-02 Emmanuelle Tognoli , Daniela Benites , J. A. Scott Kelso

Neural mass models describe the mean-field dynamics of populations of neurons. In this work we illustrate how fundamental ideas of physics, such as energy and conserved quantities, can be explored for such models. We show that…

Neurons and Cognition · Quantitative Biology 2025-09-15 Daniele Andrean , Morten Gram Pedersen

We present an effective model for timing-dependent synaptic plasticity (STDP) in terms of two interacting traces, corresponding to the fraction of activated NMDA receptors and the Ca2+ concentration in the dendritic spine of the…

Neurons and Cognition · Quantitative Biology 2015-02-26 Rodrigo Echeveste , Claudius Gros

How human brain function emerges from structure has intrigued researchers for decades and numerous models have been put forward, yet none of them yields a close structure-function relation. Here we present a resonance model based on…

Neurons and Cognition · Quantitative Biology 2022-10-10 Yanjiang Wang , Jichao Ma , Jiebin Luo , Xue Chen , Yue Yuan

A basal animal model is described as an organism similar to a Limpet that is attached to the sea floor living in a reproductive community. Its brain model uses logic cells (gates) to create a high frequency spike generator. Addition logic…

Other Quantitative Biology · Quantitative Biology 2016-12-19 Robert Alan Brown

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

Hippocampal neurons exhibit precise phase locking to network oscillations, but the computational principle governing this temporal precision is still unclear. Neural information is conveyed jointly by firing rates and spike timing, but…

Neurons and Cognition · Quantitative Biology 2026-03-23 Reza Ahmadvand , Sara Safura Sharif , Yaser Mike Banad

By utilizing the effective-field theory based on the Glauber-type stochastic dynamics, the dynamic behaviors of the hexagonal Ising nanowire (HIN) system in the presence of a time dependent magnetic field are obtained. The time variations…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Mehmet Ertas , Yusuf Kocakaplan