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Flexible modulation of temporal dynamics in neural sequences underlies many cognitive processes. For instance, we can adaptively change the speed of motor sequences and speech. While such flexibility is influenced by various factors such as…

Neurons and Cognition · Quantitative Biology 2025-04-15 Tomoki Kurikawa , Kunihiko Kaneko

The functional computation of the human brain arises from the collective behaviour of the underlying neural network. The emerging technology enables the recording of population activity in neurons, and the theory of neural networks is…

Biological Physics · Physics 2025-08-29 Yoshiaki Horiike , Shin Fujishiro

Fifty years ago, Wilson and Cowan developed a mathematical model to describe the activity of neural populations. In this seminal work, they divided the cells in three groups: active, sensitive and refractory, and obtained a dynamical system…

Neurons and Cognition · Quantitative Biology 2022-09-07 Vincent Painchaud , Nicolas Doyon , Patrick Desrosiers

The response of the Hodgkin-Huxley neuronal model subjected to stochastic uncorrelated spike trains originating from a large number of inhibitory and excitatory post-synaptic potentials is analyzed in detail. The model is examined in its…

Disordered Systems and Neural Networks · Physics 2007-05-23 Stefano Luccioli , Thomas Kreuz , Alessandro Torcini

Mesoscale phenomena -- involving a level of description between the finest atomistic scale and the macroscopic continuum -- can be studied by a variation on the usual atomistic-level molecular dynamics (MD) simulation technique. In…

Chemical Physics · Physics 2015-06-19 Keng-Hua Lin , Brad Lee Holian , Timothy C. Germann , Alejandro Strachan

A general class of hybrid models has been introduced recently, gathering the advantages multiscale descriptions. Concerning biological applications, the particular coupled structure fits to collective cell migrations and pattern formation…

Numerical Analysis · Mathematics 2024-01-11 Marta Menci , Roberto Natalini , Thierry Paul

The dynamics in a confined turbulent convection flow is dominated by multiple long-lived macroscopic circulation states, which are visited subsequently by the system in a Markov-type hopping process. In the present work, we analyze the…

Fluid Dynamics · Physics 2023-08-03 Priyanka Maity , Andreas Bittracher , Péter Koltai , Jörg Schumacher

In this paper, one of the major shortcomings of the conventional numerical approaches is alleviated by introducing the probabilistic nature of molecular transitions into the framework of classical computational electrodynamics. The main aim…

Classical Physics · Physics 2020-01-24 Ali Reza Hashemi , Mahmood Hosseini-Farzad

We propose a microscopic stochastic approach to improve description of nuclear dynamics beyond the mean-field approximation at low energies. It is shown that, for small amplitude fluctuations, the proposed model gives a result for the…

Nuclear Theory · Physics 2009-11-13 Sakir Ayik

The brain's activity is characterized by the interaction of a very large number of neurons that are strongly affected by noise. However, signals often arise at macroscopic scales integrating the effect of many neurons into a reliable…

Dynamical Systems · Mathematics 2012-11-07 Jonathan Touboul , G. Bard Ermentrout

Linking the microscopic and macroscopic behavior is at the heart of many natural and social sciences. This apparent similarity conceals essential differences across disciplines: while physical particles are assumed to optimize the global…

Physics and Society · Physics 2009-12-09 Sébastian Grauwin , Eric Bertin , Rémi Lemoy , Pablo Jensen

The term active nematics designates systems in which apolar elongated particles spend energy to move randomly along their axis and interact by inelastic collisions in the presence of noise. Starting from a simple Vicsek-style model for…

Statistical Mechanics · Physics 2014-06-17 Eric Bertin , Hugues Chaté , Francesco Ginelli , Shradha Mishra , Anton Peshkov , Sriram Ramaswamy

Magnetically driven microparticles provide a versatile platform for probing and manipulating biological systems, yet the physical framework governing their actuation in complex environments remains only partially explored. Within the field…

Soft Condensed Matter · Physics 2025-10-15 Andrea Visonà , Robert Morel , Hélène Joisten , Bernard Dieny , Alice Nicolas

We suggest that the propagation of the action potential is driven by a pressure pulse propagating in the axoplasm along the axon length. The pressure pulse mechanically activates Na ion channels embedded in the axon membrane. This…

Biological Physics · Physics 2009-05-15 Marat M. Rvachev

Oscillation of macroscopic variables is discovered in a metastable state in the Hamiltonian dynamical system of mean field XY model, the duration of which is divergent with the system size. This long-lasting periodic or quasiperiodic…

Statistical Mechanics · Physics 2007-05-23 Hidetoshi Morita , Kunihiko Kaneko

In many systems we can describe emergent macroscopic behaviors, quantitatively, using models that are much simpler than the underlying microscopic interactions; we understand the success of this simplification through the renormalization…

Biological Physics · Physics 2019-01-01 Leenoy Meshulam , Jeffrey L. Gauthier , Carlos D. Brody , David W. Tank , William Bialek

The spontaneous generation of electrical activity underpins a number of essential physiological processes, and is observed even in tissues where specialized pacemaker cells have not been identified. The emergence of periodic oscillations in…

Adaptation and Self-Organizing Systems · Physics 2022-02-01 Ria Ghosh , Shakti N. Menon

We present a computational and theoretical model of the neural mechanisms underlying human decision-making. We propose a detailed model of the interaction between brain regions, under a proposer-predictor-actor-critic framework.…

Neurons and Cognition · Quantitative Biology 2019-12-18 Seth Herd , Kai Krueger , Ananta Nair , Jessica Mollick , Randall OReilly

The quintessential property of neuronal systems is their intensive patterns of selective synaptic connections. The current work describes a physics-based approach to neuronal shape modeling and synthesis and its consideration for the…

Neurons and Cognition · Quantitative Biology 2009-11-10 Luciano da Fontoura Costa , Regina Celia Coelho

Most biochemical reactions in living cells are open systems interacting with environment through chemostats to exchange both energy and materials. At a mesoscopic scale, the number of each species in those biochemical reactions can be…

Optimization and Control · Mathematics 2022-11-08 Yuan Gao , Jian-Guo Liu