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We study diffusion on a substrate with permanent traps distributed with critical positional correlation, modeled by their placement on the perimeters of a critical percolation cluster. We perform a numerical analysis of the vibrational…

Condensed Matter · Physics 2009-10-28 Sonali Mukherjee , Hisao Nakanishi

In the superparamagnetic regime, magnetic tunnel junctions switch between two resistance states due to random thermal fluctuations. The dwell time distribution in each state is exponential. We sample this distribution using a temporal…

The spatiotemporal stochastic dynamics of the voltage as well as the upcrossing rate are derived for a model neuron comprising a long dendrite with uniformly distributed filtered excitatory and inhibitory synaptic drive. A cascade of…

Neurons and Cognition · Quantitative Biology 2023-04-18 Robert P Gowers , Magnus J E Richardson

Learning and memory relies on synapses changing their strengths in response to neural activity. However there is a substantial gap between the timescales of neural electrical dynamics (1-100 ms) and organism behaviour during learning…

Neurons and Cognition · Quantitative Biology 2023-08-08 Cian O'Donnell

We revisit the problem of compaction of a column of granular matter exposed to discrete taps. We accurately control the vertical motion of the column, which allows us to vary the duration T and the amplitude A of single-cycle sinusoidal…

Soft Condensed Matter · Physics 2015-03-13 J. A. Dijksman , M. van Hecke

A common view in the neuroscience community is that memory is encoded in the connection strength between neurons. This perception led artificial neural network models to focus on connection weights as the key variables to modulate learning.…

Neural and Evolutionary Computing · Computer Science 2022-02-22 Hananel Hazan , Simon Caby , Christopher Earl , Hava Siegelmann , Michael Levin

Step strain experiments and dynamic light scattering measurements are perfomed to characterize the dynamic behavior of an o/w droplet microemulsion into which is incorporated a telechelic polymer. At sufficient droplet and polymer…

Soft Condensed Matter · Physics 2007-05-23 Eric Michel , Mohammed Filali , Raymond Aznar , Gregoire Porte , Jacqueline Appell

Consolidation of synaptic changes in response to neural activity is thought to be fundamental for memory maintenance over a timescale of hours. In experiments, synaptic consolidation can be induced by repeatedly stimulating presynaptic…

Neurons and Cognition · Quantitative Biology 2019-11-14 Chiara Gastaldi , Samuel P. Muscinelli , Wulfram Gerstner

In both machine learning and in computational neuroscience, plasticity in functional neural networks is frequently expressed as gradient descent on a cost. Often, this imposes symmetry constraints that are difficult to reconcile with local…

Neurons and Cognition · Quantitative Biology 2026-04-09 Timo Gierlich , Andreas Baumbach , Akos F. Kungl , Kevin Max , Mihai A. Petrovici

In this paper we present a simple microscopic stochastic model describing short term plasticity within a large homogeneous network of interacting neurons. Each neuron is represented by its membrane potential and by the residual calcium…

Probability · Mathematics 2020-01-29 Antonio Galves , Eva Löcherbach , Christophe Pouzat , Errico Presutti

We study bifurcations in networks of integrate-and-fire neurons with stochastic spike emission, focusing on the effects of the spatial and temporal structure of the synaptic interactions. Using a deterministic mean-field approximation of…

Neurons and Cognition · Quantitative Biology 2026-05-19 Lauren Forbes , Jared Grossman , Montie Avery , Ryan Goh , Gabriel Koch Ocker

The nonstationary and steady-state transport through a mesoscopic sample connected to particle reservoirs via time-dependent barriers is investigated within the reduced density operator method. The generalized Master equation is solved via…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Valeriu Moldoveanu , Andrei Manolescu , Vidar Gudmundsson

This is a review of the dynamics of wave propagation through a disordered N-mode waveguide in the localized regime. The basic quantities considered are the Wigner-Smith and single-mode delay times, plus the time-dependent power spectrum of…

Disordered Systems and Neural Networks · Physics 2013-04-08 C. W. J. Beenakker

This paper addresses two questions in the context of neuronal networks dynamics, using methods from dynamical systems theory and statistical physics: (i) How to characterize the statistical properties of sequences of action potentials…

Adaptation and Self-Organizing Systems · Physics 2015-05-13 B. Cessac , H. Rostro , J. C. Vasquez , T. Viéville

The plasticity of the conduction delay between neurons plays a fundamental role in learning. However, the exact underlying mechanisms in the brain for this modulation is still an open problem. Understanding the precise adjustment of…

Neural and Evolutionary Computing · Computer Science 2020-11-19 Alireza Nadafian , Mohammad Ganjtabesh

Active fluids operate by constantly dissipating energy at the particle level to perform a directed motion, yielding dynamics and phases without any equilibrium equivalent. The emerging behaviors have been studied extensively, yet…

Statistical Mechanics · Physics 2020-02-03 Étienne Fodor , Takahiro Nemoto , Suriyanarayanan Vaikuntanathan

We study experimentally and numerically the nonlinear scattering of wave packets by local multi-site guiding centers embedded in a continuous dielectric medium, as a function of the input power and angle of incidence. The extent of trapping…

Adaptation and Self-Organizing Systems · Physics 2009-11-13 Y. Shavit , Y. Linzon , S. Bar-Ad , R. Morandotti , M. Volatier-Ravat , V. Aimez , R. Ares

Spike Timing Dependent Plasticity (STDP) is a Hebbian like synaptic learning rule. The basis of STDP has strong experimental evidences and it depends on precise input and output spike timings. In this paper we show that under biologically…

Neurons and Cognition · Quantitative Biology 2015-04-14 Subhajit Sengupta , Karthik S. Gurumoorthy , Arunava Banerjee

We show that discrete synaptic weights can be efficiently used for learning in large scale neural systems, and lead to unanticipated computational performance. We focus on the representative case of learning random patterns with binary…

Disordered Systems and Neural Networks · Physics 2015-09-21 Carlo Baldassi , Alessandro Ingrosso , Carlo Lucibello , Luca Saglietti , Riccardo Zecchina

In the mammalian brain newly acquired memories depend on the hippocampus for maintenance and recall, but over time these functions are taken over by the neocortex through a process called systems consolidation. However, reactivation of a…

Neurons and Cognition · Quantitative Biology 2019-03-29 Peter Helfer , Thomas R. Shultz
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