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It is becoming increasingly appreciated that the signal transduction systems used by eukaryotic cells to achieve a variety of essential responses represent highly complex networks rather than simple linear pathways. While significant effort…

We consider a fully-connected network of leaky integrate-and-fire neurons with spike-timing-dependent plasticity. The plasticity is controlled by a parameter representing the expected weight of a synapse between neurons that are firing…

神经元与认知 · 定量生物学 2011-09-23 Chun-Chung Chen , David Jasnow

Living systems often function with regulatory interactions, but the question of how activity, stochasticity and regulations work together for achieving different goals still remains puzzling. We propose a stochastic model of an active…

软凝聚态物质 · 物理学 2026-03-02 Tai Han , Fanlong Meng

We study the response of a Hodgkin-Huxley neuron stimulated by a periodic sequence of conductance pulses arriving through the synapse in the high frequency regime. In addition to the usual excitation threshold there is a smooth crossover…

生物物理 · 物理学 2010-04-08 L. S. Borkowski

We consider the scaling behaviour of the fluctuation susceptibility associated with the average activation in the Greenberg-Hastings neural network model and its relation to microscopic spontaneous activation. We found that, as the…

无序系统与神经网络 · 物理学 2026-02-10 Joaquin Almeira , Daniel A. Martin , Dante R. Chialvo , Sergio A. Cannas

The paper is devoted to the development of a microscopic description of the critical behavior of a cell fluid model with allowance for the contributions from collective variables with nonzero values of the wave vector. The mathematical…

统计力学 · 物理学 2020-07-01 I. V. Pylyuk , O. A. Dobush

We consider a system consisting of two delay differential equations with a large parameter, modeling the association of a pair of neurooscillators. The unknown functions describe the changes in the normalized membrane potentials of neurons…

可精确求解与可积系统 · 物理学 2024-07-15 Margarita Preobrazhenskaia , Vera Zelenova

Thermodynamic parameters such as temperature and pressure can be defined from the statistical behavior of a system. Therefore, thermal fluctuation is an inseparable characteristic of these parameters which eventually finds its way into…

计算物理 · 物理学 2017-02-28 Alek Bedroya , Mahmud Bahmanabadi

Most aquatic vertebrates swim by lateral flapping of their bodies and caudal fins. While much effort has been devoted to understanding the flapping kinematics and its influence on the swimming efficiency, little is known about the stability…

流体动力学 · 物理学 2015-06-15 Fangxu Jing , Eva Kanso

In this paper we study the dynamics of stochastic microorganism flocculation models. Given the strong influence of environmental and seasonal fluctuations that are present in these models, we propose a stochastic model that includes…

概率论 · 数学 2025-11-18 Alexandru Hening , Nguyen T. Hieu , Dang H. Nguyen , Nhu Nguyen

This chapter revisits the concept of excitability, a basic system property of neurons. The focus is on excitable systems regarded as behaviors rather than dynamical systems. By this we mean open systems modulated by specific interconnection…

神经元与认知 · 定量生物学 2017-04-18 Rodolphe Sepulchre , Guillaume Drion , Alessio Franci

Inspired by dense contractile tissues, where cells are subject to periodic deformation, we formulate and study a generic hydrodynamic theory of pulsating active liquids. Combining mechanical and phenomenological arguments, we postulate that…

软凝聚态物质 · 物理学 2025-09-25 Tirthankar Banerjee , Thibault Desaleux , Jonas Ranft , Étienne Fodor

Biological cells can actively tune their intracellular architecture according to their overall shape. Here we explore the rheological implication of such coupling in a minimal model of a dense cellular material where each cell exerts an…

软凝聚态物质 · 物理学 2022-04-13 Shao-Zhen Lin , Matthias Merkel , Jean-François Rupprecht

In this paper we discuss the application of current it ab initio computer simulation techniques to hydrogenated amorphous silicon (a-Si:H). We begin by discussing thermal fluctuation in the number of coordination defects in the material,…

材料科学 · 物理学 2009-11-13 D. A. Drabold , T. A. Abtew , F. Inam , Y. Pan

Stochasticity is both exploited and controlled by cells. Although the intrinsic stochasticity inherent in biochemistry is relatively well understood, cellular variation, or 'noise', is predominantly generated by interactions of the system…

分子网络 · 定量生物学 2008-09-18 Vahid Shahrezaei , Julien F Ollivier , Peter S Swain

We investigate the dynamics of cellular solidification patterns using three-dimensional phase-field simulations. The cells can organize into stable hexagonal patterns or exhibit unsteady evolutions. We identify the relevant secondary…

材料科学 · 物理学 2009-11-07 Mathis Plapp , Marcus Dejmek

The macroscopic behaviour of active matter arises from nonequilibrium microscopic processes. In soft materials, active stresses typically drive macroscopic shape changes, which in turn alter the geometry constraining the microscopic…

软凝聚态物质 · 物理学 2024-11-26 Tim Dullweber , Roman Belousov , Anna Erzberger

Biological cells are built up from many different constituents of varying size and stiffness which all contribute to the cell's mechanical properties. Despite this heterogeneity, in the analysis of experimental measurements such as atomic…

生物物理 · 物理学 2023-05-18 Sebastian Wohlrab , Sebastian J. Müller , Stephan Gekle

Event-driven systems in fields such as neuroscience, social networks, and finance often exhibit dynamics influenced by continuously evolving external covariates. Motivated by these applications, we introduce a new class of multivariate…

统计理论 · 数学 2025-12-02 Maya Sadeler Perrin , Anna Bonnet , Charlotte Dion-Blanc , Adeline Samson

Cellular signaling is essential in information processing and decision making. Therefore, a variety of experimental approaches have been developed to study signaling on bulk and single-cell level. Single-cell measurements of signaling…

定量方法 · 定量生物学 2019-04-18 Carolin Loos , Jan Hasenauer