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In many real-world systems, partial synchronization is the dominant dynamical regime and, in systems such as the brain, is often accompanied by collective oscillations in which multiple overlapping modes interact to produce complex rhythmic…

Adaptation and Self-Organizing Systems · Physics 2026-03-03 Ali Seif , Mina Zarei

Thalamic circuits are able to generate state-dependent oscillations of different frequencies and degrees of synchronization. However, only little is known how synchronous oscillations, like spindle oscillations in the thalamus, are…

Neurons and Cognition · Quantitative Biology 2010-03-11 Jörg Mayer , Heinz Georg Schuster , Jens Christian Claussen , Matthias Mölle

Living systems implement and execute an extraordinary plethora of computational tasks. The inherent degree of large scale coordination emerges as a global property, from the intricate sea of microscopic interactions. The brain, with its…

Disordered Systems and Neural Networks · Physics 2018-01-03 Duccio Fanelli , Francesco Ginelli , Roberto Livi , Niccolò Zagli , Clement Zankoc

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

In continuation of prior work, we investigate ties between a network's connectivity and ensemble dynamics. This relationship is notoriously difficult to approach mathematically in natural, complex networks. In our work, we aim to understand…

Chaotic Dynamics · Physics 2022-09-13 Anca Radulescu , Danae Evans , Amani-Daisa Augustin , Anthony Cooper , Johan Nakuci , Sarah Muldoon

Novel experimental techniques reveal the simultaneous activity of larger and larger numbers of neurons. As a result there is increasing interest in the structure of cooperative -- or correlated -- activity in neural populations, and in the…

Neurons and Cognition · Quantitative Biology 2015-05-30 James Trousdale , Yu Hu , Eric Shea-Brown , Krešimir Josić

We employ a number of statistical measures to characterize neural discharge activity in cat retinal ganglion cells (RGCs) and in their target lateral geniculate nucleus (LGN) neurons under various stimulus conditions, and we develop a new…

Biological Physics · Physics 2007-05-23 Steven B. Lowen , Tsuyoshi Ozaki , Ehud Kaplan , Bahaa E. A. Saleh , Malvin C. Teich

We investigate the emergence of synchronization in heterogeneous networks of chaotic maps. Our findings reveal that a small cluster of highly connected maps is responsible for triggering the spark of synchronization. After the spark, the…

Adaptation and Self-Organizing Systems · Physics 2024-02-01 Antonio Montalban , Rodrigo M. Corder

Task-trained recurrent neural networks (RNNs) are widely used in neuroscience and machine learning to model dynamical computations. To gain mechanistic insight into how neural systems solve tasks, prior work often reverse-engineers…

Machine Learning · Computer Science 2026-02-11 Ann Huang , Satpreet H. Singh , Flavio Martinelli , Kanaka Rajan

Background: The roles of neuromodulation in a neural network, such as in a cortical microcolumn, are still incompletely understood. Neuromodulation influences neural processing by presynaptic and postsynaptic regulation of synaptic…

Neurons and Cognition · Quantitative Biology 2019-06-25 Gabriele Scheler

Recurrent neural networks (RNNs) such as long short-term memory and gated recurrent units are pivotal building blocks across a broad spectrum of sequence modeling problems. This paper proposes a recurrently controlled recurrent network…

Computation and Language · Computer Science 2018-11-27 Yi Tay , Luu Anh Tuan , Siu Cheung Hui

Understanding cognitive processes in the brain demands sophisticated models capable of replicating neural dynamics at large scales. We present a physiologically inspired speech recognition architecture, compatible and scalable with deep…

Computation and Language · Computer Science 2024-09-26 Alexandre Bittar , Philip N. Garner

We describe a generative network model of the architecture of the enteric nervous system (ENS) in the colon employing data from images of human and mouse tissue samples obtained through confocal microscopy. Our models combine spatial point…

Neurons and Cognition · Quantitative Biology 2022-10-28 Abida Sanjana Shemonti , Joshua D. Eisenberg , Robert O. Heuckeroth , Marthe J. Howard , Alex Pothen , Bartek Rajwa

Synchronized neural spiking is associated with many cognitive functions and thus, merits study for its own sake. The analysis of neural synchronization naturally leads to the study of repetitive spiking and consequently to the analysis of…

Neurons and Cognition · Quantitative Biology 2017-07-19 Youngmin Park , Stewart Heitmann , G. Bard Ermentrout

The goal of this paper is to report certain scientific discoveries about a Seq2Seq model. It is known that analyzing the behavior of RNN-based models at the neuron level is considered a more challenging task than analyzing a DNN or CNN…

Neural and Evolutionary Computing · Computer Science 2023-03-28 Yi-Ting Lee , Da-Yi Wu , Chih-Chun Yang , Shou-De Lin

Using a stochastic generalization of the Hodgkin–Huxley model, we consider the influence of intrinsic channel noise on the synchronization between the spiking activity of the excitable membrane and an externally applied periodic…

Biological Physics · Physics 2007-05-23 Gerhard Schmid , Igor Goychuk , Peter Hanggi

Neuronal networks are controlled by a combination of the dynamics of individual neurons and the connectivity of the network that links them together. We study a minimal model of the preBotzinger complex, a small neuronal network that…

Neurons and Cognition · Quantitative Biology 2013-05-29 David J. Schwab , Robijn F. Bruinsma , Alex J. Levine

Random device mismatch that arises as a result of scaling of the CMOS (complementary metal-oxide semi-conductor) technology into the deep submicron regime degrades the accuracy of analogue circuits. Methods to combat this increase the…

Neural and Evolutionary Computing · Computer Science 2015-07-13 Chetan Singh Thakur , Runchun Wang , Tara Julia Hamilton , Jonathan Tapson , Andre van Schaik

Traumatic brain injury (TBI) disrupts thalamocortical connectivity, contributing to cognitive impairment and post-traumatic epilepsy (PTE). This study presents a novel tractography-based framework that leverages diffusion maps to capture…

Quantitative Methods · Quantitative Biology 2025-10-21 Akul Sharma , Anand A. Joshi , Richard M. Leahy

In the intricate architecture of the mammalian central nervous system, neurons form populations. Axonal bundles communicate between these clusters using spike trains. However, these neuron populations' precise encoding and operations have…

Neurons and Cognition · Quantitative Biology 2024-01-02 Martin N. P. Nilsson