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Stochastic driven flow along a channel can be modeled by the asymmetric simple exclusion process. We confirm numerically the presence of a dynamic queuing phase transition at a nonzero obstruction strength, and establish its scaling…

统计力学 · 物理学 2009-11-10 Meesoon Ha , Jussi Timonen , Marcel den Nijs

We consider a threshold-crossing spiking process as a simple model for the activity within a population of neurons. Assuming that these neurons are driven by a common fluctuating input with Gaussian statistics, we evaluate the…

神经元与认知 · 定量生物学 2009-06-11 Yoram Burak , Sam Lewallen , Haim Sompolinsky

We investigate stresses and particle motion during the start up of flow in a colloidal dispersion close to arrest into a glassy state. A combination of molecular dynamics simulation, mode coupling theory and confocal microscopy experiment…

软凝聚态物质 · 物理学 2009-11-13 J. Zausch , J. Horbach , M Laurati , S. U. Egelhaaf , J. M. Brader , Th. Voigtmann , M. Fuchs

The brain is a highly complex system. Most of such complexity stems from the intermingled connections between its parts, which give rise to rich dynamics and to the emergence of high-level cognitive functions. Disentangling the underlying…

神经元与认知 · 定量生物学 2023-08-14 Vito Dichio , Fabrizio De Vico Fallani

In neuronal systems, inhibition contributes to stabilizing dynamics and regulating pattern formation. Through developing mean field theories of neuronal models, using complete graph networks, inhibition is commonly viewed as one ``control…

无序系统与神经网络 · 物理学 2024-04-29 Gustavo Menesse , Osame Kinouchi

In this paper we revisit the Mackey-Glass model for blood-forming process, which was proposed to describe the spontaneous fluctuations of the blood cell counts in normal individuals and the first stage of chronic myelocytic (or…

凝聚态物理 · 物理学 2007-05-23 M. F. Menezes , R. M. Zorzenon dos Santos

Plasticity after stroke is a complex phenomenon initiated by the functional reorganization of the brain, especially in the perilesional tissue. At macroscales, the reestablishment of segregation within the affected hemisphere and…

神经元与认知 · 定量生物学 2022-04-26 Catalina Obando , Charlotte Rosso , Joshua Siegel , Maurizio Corbetta , Fabrizio De Vico Fallani

We present large scale and detailed analysis of the microscopic empirical data of the traffic flow, focusing on the non-linear interactions between the vehicles when the traffic is congested. By implementing a "renormalisation" procedure…

适应与自组织系统 · 物理学 2016-03-15 Bo Yang , Ji Wei Yoon , Christopher Monterola

We study a single-lane traffic model that is based on human driving behavior. The outflow from a traffic jam self-organizes to a critical state of maximum throughput. Small perturbations of the outflow far downstream create emergent traffic…

adap-org · 物理学 2009-10-28 Kai Nagel , Maya Paczuski

We consider a specific random graph which serves as a disordered medium for a particle performing biased random walk. Take a two-sided infinite horizontal ladder and pick a random spanning tree with a certain edge weight $c$ for the…

概率论 · 数学 2023-04-19 Nina Gantert , Achim Klenke

We study numerically how multiple deformable capsules squeeze into a constriction. This situation is largely encountered in microfluidic chips designed to manipulate living cells, which are soft entities. We use fully three-dimensional…

软凝聚态物质 · 物理学 2021-12-15 Clément Bielinski , Othmane Aouane , Jens Harting , Badr Kaoui

We exploit a two-dimensional model [7], [6] and [1] describing the elastic behavior of the wall of a flexible blood vessel which takes interaction with surrounding muscle tissue and the 3D fluid flow into account. We study time periodic…

偏微分方程分析 · 数学 2021-07-28 V. Kozlov , S. Nazarov , G. Zavorokhin

Neural oscillations are considered to be brain-specific signatures of information processing and communication in the brain. They also reflect pathological brain activity in neurological disorders, thus offering a basis for diagnoses and…

神经元与认知 · 定量生物学 2023-10-23 Tena Dubcek , Debora Ledergerber , Jana Thomann , Giovanna Aiello , Marc Serra-Garcia , Lukas Imbach , Rafael Polania

Percolation is a model for random damage to a network. It is one of the simplest models that displays a phase transition: when the network is severely damaged, it falls apart in many small connected components, while if the damage is light,…

概率论 · 数学 2025-12-18 Remco van der Hofstad

Epilepsy is a common neurological disorder characterized by abrupt seizures. Although seizures may appear random, they are often preceded by early warning signs in neural signals, notably, critical slowing down, a phenomenon in which the…

系统与控制 · 电气工程与系统科学 2024-11-12 Yuzhen Qin , Marcel van Gerven

The integration and transmission of information in the brain are dependent on the interplay between structural and dynamical properties. Implicit in any pursuit aimed at understanding neural dynamics from appropriate sets of mathematically…

神经元与认知 · 定量生物学 2020-06-30 Joshua M. Roldan , Sebastian Pardo G. , Vivek Kurien George , Gabriel A. Silva

We model information traffic on scale-free networks by introducing the bandwidth as the delivering ability of links. We focus on the effects of bandwidth on the packet delivering ability of the traffic system to better understand traffic…

物理与社会 · 物理学 2009-11-13 Mao-Bin Hu , Wen-Xu Wang , Rui Jiang , Qing-Song Wu , Yong-Hong Wu

We use a one dimensional symmetric exclusion model to study pressure and osmosis driven flows through molecular-sized channels, such as biological membrane channels and zeolite pores. Analytic expressions are found for the steady-state flow…

软凝聚态物质 · 物理学 2008-02-03 Tom Chou

In many physical situations involving diverse length scales, waves or rays representing them travel through media characterized by spatially smooth, random, modest refactive index variations. "Primary" diffraction (by individual…

经典物理 · 物理学 2021-12-14 Eric J Heller , Ragnar Fleischmann , Tobias Kramer

We consider traffic flow dynamics for a network of signalized intersections, where the outflow from every link is constrained to be equal to a given capacity function if the queue length is positive, and equal to the minimum of cumulative…

动力系统 · 数学 2017-09-13 Pouyan Hosseini , Ketan Savla