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Spontaneous cortical population activity exhibits a multitude of oscillatory patterns, which often display synchrony during slow-wave sleep or under certain anesthetics and stay asynchronous during quiet wakefulness. The mechanisms behind…

Neurons and Cognition · Quantitative Biology 2018-06-20 Rodrigo F. O. Pena , Michael A. Zaks , Antonio C. Roque

Understanding the basic operational logics of the nervous system is essential to advancing neuroscientific research. However, theoretical efforts to tackle this fundamental problem are lacking, despite the abundant empirical data about the…

Neurons and Cognition · Quantitative Biology 2021-09-07 Cheng Qian

We explore the interplay between the topological relevance of a neuron and its dynamical traces in experimental cultured neuronal networks. We monitor the growth and development of these networks to characterise the evolution of their…

Adaptation and Self-Organizing Systems · Physics 2023-07-14 A. Tlaie , L. M. Ballesteros-Esteban , I. Leyva , I. Sendina-Nadal

We report on both analytical and numerical results concerning stochastic Hopfield--like neural automata exhibiting the following (biologically inspired) features: (1) Neurons and synapses evolve in time as in contact with respective baths…

Statistical Mechanics · Physics 2007-05-23 J. J. Torres , J. Marro , P. L. Garrido , J. M. Cortes , F. Ramos , M. A. Munoz

Cultures of neurons grown on multi-electrode arrays have become a common experimental preparation for investigating developing neural networks. Experiment and simulation have shown that these developing networks eventually exhibit bursting…

Neurons and Cognition · Quantitative Biology 2026-02-27 Michael Stiber , Natalie Gonzales , Jewel YunHsuan Lee

The neocortex, a complex system driving multi-region interactions, remains a core puzzle in neuroscience. Despite quantitative insights across brain scales, understanding the mechanisms underlying neural activities is challenging. Advances…

Neurons and Cognition · Quantitative Biology 2024-11-27 Xiaochen Wang , Yuxuan Wu , Feng Zhang , Jin Wang

Thanks to novel, powerful brain activity recording techniques, we can create data-driven models from thousands of recording channels and large portions of the cortex, which can improve our understanding of brain-states neuromodulation and…

The applicability of computational and dynamical systems models to organisms is scrutinized, using examples from developmental biology and cognition. Developmental morphogenesis is dependent on the inherent material properties of developing…

Neurons and Cognition · Quantitative Biology 2023-10-24 Stuart A. Newman

Neuronal circuits of the cerebral cortex are the structural basis of mammalian cognition. The same qualitative components and connectivity motifs are repeated across functionally specialized cortical areas and mammalian species, suggesting…

Neurons and Cognition · Quantitative Biology 2025-07-04 Arno Granier , Katharina A Wilmes , Mihai A Petrovici , Walter Senn

Foundation models have shown remarkable success in fitting biological visual systems; however, their black-box nature inherently limits their utility for understanding brain function. Here, we peek inside a SOTA foundation model of neural…

Neurons and Cognition · Quantitative Biology 2026-01-30 Johannes Bertram , Luciano Dyballa , Anderson Keller , Savik Kinger , Steven W. Zucker

The human brain is autonomously active, being characterized by a self-sustained neural activity which would be present even in the absence of external sensory stimuli. Here we study the interrelation between the self-sustained activity in…

Neurons and Cognition · Quantitative Biology 2017-11-27 C. Gros , G. Kaczor

Population-wide oscillations are ubiquitously observed in mesoscopic signals of cortical activity. In these network states a global oscillatory cycle modulates the propensity of neurons to fire. Synchronous activation of neurons has been…

Neurons and Cognition · Quantitative Biology 2017-07-04 Tobias Kühn , Moritz Helias

In this paper a theoretical model of functioning of a neural circuit during a behavioral response has been proposed. A neural circuit can be thought of as a directed multigraph whose each vertex is a neuron and each edge is a synapse. It…

Neurons and Cognition · Quantitative Biology 2007-05-23 Kaushik Majumdar

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

We propose a dynamical neural network model with a hierarchical and modular structure. The network architecture can be derived by minimizing an energy function that is originally designed based on two kinds of neurons with quite different…

Neurons and Cognition · Quantitative Biology 2026-04-14 Kazuyoshi Tsutsumi , Ernst Niebur

Detailed knowledge of mechanical parameters such as cell elasticity, stiffness of the growth substrate, or traction stresses generated during axonal extensions is essential for understanding the mechanisms that control neuronal growth. Here…

Biological Physics · Physics 2013-04-05 Elise Spedden , James D. White , Elena N. Naumova , David L. Kaplan , Cristian Staii

The activity generated by an ensemble of neurons is affected by various noise sources. It is a well-recognised challenge to understand the effects of noise on the stability of such networks. We demonstrate that the patterns of activity…

Analysis of PDEs · Mathematics 2022-05-19 Jose A. Carrillo , Helge Holden , Susanne Solem

The traditional view of neural computation in the cerebral cortex holds that sensory neurons are specialized, i.e., selective for certain dimensions of sensory stimuli. This view was challenged by evidence of contextual interactions between…

Neurons and Cognition · Quantitative Biology 2022-04-26 Sergei Gepshtein , Ambarish Pawar , Sunwoo Kwon , Sergey Savel'ev , Thomas D. Albright

Global brain activity self-organizes into discrete patterns characterized by distinct behavioral observables and modes of information processing. The human thalamocortical system is a densely connected network where local neural activation…

Neural activity fluctuates over a wide range of timescales within and across brain areas. Experimental observations suggest that diverse neural timescales reflect information in dynamic environments. However, how timescales are defined and…

Neurons and Cognition · Quantitative Biology 2026-01-21 Roxana Zeraati , Anna Levina , Jakob H. Macke , Richard Gao
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