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Neuronal activity arises from an interaction between ongoing firing generated spontaneously by neural circuits and responses driven by external stimuli. Using mean-field analysis, we ask how a neural network that intrinsically generates…

Neurons and Cognition · Quantitative Biology 2010-08-04 Kanaka Rajan , L F Abbott , Haim Sompolinsky

Over the past decade, advances in super-resolution microscopy and particle-based modeling have driven an intense interest in investigating spatial heterogeneity at the level of single molecules in cells. Remarkably, it is becoming clear…

Molecular Networks · Quantitative Biology 2013-11-19 Andrew Mugler , Pieter Rein ten Wolde

Biological systems represent time from microseconds to years. An important gap in our knowledge concerns the mechanisms for encoding time intervals of hundreds of milliseconds to minutes that matter for tasks like navigation, communication,…

Neurons and Cognition · Quantitative Biology 2025-05-22 Raphaël Lafond-Mercier , Leonard Maler , Avner Wallach , André Longtin

The widespread use of digital devices has raised growing concerns about its impact on sustained attention at the population level. In this work, we propose a minimal dynamical framework to describe the collective evolution of attention…

Physics and Society · Physics 2026-04-03 Nuno Crokidakis

Using deep neural networks as computational models to simulate cognitive process can provide key insights into human behavioral dynamics. Challenges arise when environments are highly dynamic, obscuring stimulus-behavior relationships.…

Artificial Intelligence · Computer Science 2025-05-28 Songlin Xu , Xinyu Zhang

Standard models of reaction kinetics in condensed materials rely on the Boltzmann-Gibbs distribution for the population of reactants at the top of the free energy barrier separating them from the products. While energy dissipation and…

Chemical Physics · Physics 2017-12-06 Dmitry V. Matyushov , Marshall D. Newton

The threshold voltage for action potential generation is a key regulator of neuronal signal transduction, yet the mechanism of its dynamic variation is still not well described. In this paper, we propose that threshold phenomena can be…

Neurons and Cognition · Quantitative Biology 2019-11-22 Longfei Wang , Hengtong Wang , Lianchun Yu , Yong Chen

Living objects are able to consume chemical energy and process information independently from others. However, living objects can coordinate to form ordered groups such as schools of fish. This work considers these complex groups as living…

We explore the propagation and transformation of electromagnetic waves through spatially homogeneous yet smoothly time-dependent media within the framework of classical electrodynamics. By modelling the smooth transition, occurring during a…

This paper introduces a model of excitability that unifies the mechanism of an important neuronal property both in time and in space. As a starting point, we revisit both a key model of temporal excitability, proposed by Hodgkin and Huxley,…

Systems and Control · Electrical Eng. & Systems 2025-05-29 Thomas SJ Burger , Amir Shahhosseini , Rodolphe Sepulchre

The hippocampus has the capacity for reactivating recently acquired memories [1-3] and it is hypothesized that one of the functions of sleep reactivation is the facilitation of consolidation of novel memory traces [4-11]. The dynamic and…

Neurons and Cognition · Quantitative Biology 2015-06-26 Piotr Jablonski , Gina R. Poe , Michal Zochowski

Motivated by recent observations that long-range connections (LRC) play a role in various brain phenomena, we have observed two distinct dynamical transitions in the activity of excitable media where waves propagate both between neighboring…

Disordered Systems and Neural Networks · Physics 2008-04-07 Sitabhra Sinha , Jari Saramaki , Kimmo Kaski

Perturbations of fluid media can give rise to non-equilibrium dynamics, which may in turn cause motion of immersed inclusions. We consider perturbations ("activations") that are local in space and time, of a fluid density which is…

Statistical Mechanics · Physics 2020-03-18 Christian M. Rohwer , Mehran Kardar , Matthias Krüger

We investigate neuronal excitability in the Hodgkin-Huxley model under temporal interference (TI) stimulation in a previously unexplored sub-Hz resonant regime and uncover a striking nonlinear response that we term 'multi-tongue frequency…

Pattern Formation and Solitons · Physics 2026-01-21 Madhurendra Mishra , Zhen Qi , Adarsh Ganesan

The introduction of time as an additional degree of freedom to control wave-matter interactions have opened new avenues to fully control wave propagation in four dimensions (x,y,z,t). Time interfaces (rapid changes of the constitutive…

Optics · Physics 2024-12-03 Mariya Antyufeyeva , Victor Pacheco-Peña

Electromagnetic temporal boundaries, emerging when the constitutive parameters of a medium undergo abrupt temporal variations, have garnered significant interest for their role in facilitating unconventional wave phenomena and enabling…

Spatial coherence resonance in a spatially extended system that is locally modeled by Hodgkin-Huxley (HH) neurons is studied in this paper. We focus on the ability of additive temporally and spatially uncorrelated Gaussian noise to extract…

Chaotic Dynamics · Physics 2008-04-21 Xiaojuan Sun , Matjaz Perc , Qishao Lu , Jürgen Kurths

A hallmark of a plethora of intracellular signaling pathways is the spatial separation of activation and deactivation processes that potentially results in precipitous gradients of activated proteins. The classical Metabolic Control…

Analysis of PDEs · Mathematics 2007-05-23 Mark A. Peletier , Hans V. Westerhoff , Boris N. Kholodenko

Understanding the asymptotic behavior of reaction-diffusion (RD) systems is crucial for modeling processes ranging from species coexistence in ecology to biochemical interactions within cells. In this work, we analyze RD systems in which…

Dynamical Systems · Mathematics 2025-02-18 Carlos Barajas , Jean-Jacques Slotine , Domitilla Del Vecchio

When a flat stress-free surface (i.e., the ground in seismological applications) separating air from a isotropic, homogeneous or horizontally-layered, solid substratum is solicited by a SH plane body wave incident in the substratum, the…

Classical Physics · Physics 2007-05-23 Armand Wirgin , Jean-Philippe Groby
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