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A long standing puzzle in the rheology of living cells is the origin of the experimentally observed long time stress relaxation. The mechanics of the cell is largely dictated by the cytoskeleton, which is a biopolymer network consisting of…

Biological Physics · Physics 2021-10-04 Sihan Chen , Chase P. Broedersz , Tomer Markovich , Fred C. MacKintosh

The time elapsed model describes the firing activity of an homogeneous assembly of neurons thanks to the distribution of times elapsed since the last discharge. It gives a mathematical description of the probability density of neurons…

Analysis of PDEs · Mathematics 2011-09-16 Khashayar Pakdaman , Benoît Perthame , Delphine Salort

The complexity of the cells can be described and understood by a number of networks such as protein-protein interaction, cytoskeletal, organelle, signalling, gene transcription and metabolic networks. All these networks are highly dynamic…

Molecular Networks · Quantitative Biology 2007-07-26 Mate S. Szalay , Istvan A. Kovacs , Tamas Korcsmaros , Csaba Bode , Peter Csermely

We analyze the late-time relaxation dynamics for a general contagion model. In this model, nodes are either active or failed. Active nodes can fail either "spontaneously" at any time or "externally" if their neighborhoods are sufficiently…

Physics and Society · Physics 2020-12-18 Paul Richter , Malte Henkel , Lucas Böttcher

Collagen is the main structural and load-bearing element of various connective tissues, where it forms the extracellular matrix that supports cells. It has long been known that collagenous tissues exhibit a highly nonlinear stress-strain…

Here we numerically study a model of excitable media, namely, a network with occasionally quiet nodes and connection weights that vary with activity on a short-time scale. Even in the absence of stimuli, this exhibits unstable dynamics,…

Disordered Systems and Neural Networks · Physics 2015-05-19 S. de Franciscis , J. J. Torres , J. Marro

Social movements, neurons in the brain or even industrial suppliers are best described by agents evolving on networks with basic interaction rules. In these real systems, the connectivity between agents corresponds to the a critical state…

Physics and Society · Physics 2007-05-23 Philippe Curty

What is aging? Mechanistic answers to this question remain elusive despite decades of research. Here, we propose a mathematical model of cellular aging based on a model gene interaction network. Our network model is made of only non-aging…

Molecular Networks · Quantitative Biology 2023-09-12 Hong Qin

Although species longevity is subject to a diverse range of selective forces, the mortality curves of a wide variety of organisms are rather similar. We argue that aging and its universal characteristics may have evolved by means of a…

Populations and Evolution · Quantitative Biology 2013-02-01 Dervis Can Vural , Greg Morrison , L. Mahadevan

Inspired by experiments on dynamic extensile gels of biofilaments and motors, we propose a model of a network of linear springs with a kinetics consisting of growth at a prescribed rate, death after a lifetime drawn from a distribution, and…

Soft Condensed Matter · Physics 2019-01-25 Daniel Goldstein , Sriram Ramaswamy , Bulbul Chakraborty

Cortical activity in-vivo displays relaxational time scales much longer than the membrane time constant of the neurons or the deactivation time of ionotropic synaptic conductances. The mechanisms responsible for such slow dynamics are not…

Disordered Systems and Neural Networks · Physics 2025-08-07 Ferdinand Tixidre , Gianluigi Mongillo , Alessandro Torcini

Recently we have used a cellular automata model which describes the dynamics of a multi-connected network to reproduce the refractory behavior and aging effects obtained in immunization experiments performed with mice when subjected to…

Statistical Mechanics · Physics 2007-05-23 Mauro Copelli , Rita M. Zorzenon dos Santos , Daniel A. Stariolo

In the last decades, the interest to understand the connection between brain and body has grown notably. For example, in psychoneuroimmunology many studies associate stress, arising from many different sources and situations, to changes in…

Quantitative Methods · Quantitative Biology 2022-07-27 Maria Elena Gonzalez Herrero , Christian Kuehn

We propose a mechanism of cell motility which is based on contraction and does not require protrusion. The contraction driven translocation of a cell is due to internal flow of the cytoskeleton generated by molecular motors. Each motor…

Biological Physics · Physics 2013-02-19 Pierre Recho , Thibault Putelat , Lev Truskinovsky

Network analysis provides a powerful framework for the interpretation of genome-wide data. While static network approaches have proved fruitful, there is increasing interest in the insights gained from the analysis of cellular networks…

We present a modeling framework for dynamical and bursty contact networks made of agents in social interaction. We consider agents' behavior at short time scales, in which the contact network is formed by disconnected cliques of different…

Physics and Society · Physics 2010-03-09 Juliette Stehle , Alain Barrat , Ginestra Bianconi

An abstract network approach is proposed for the description of the dynamics in reactive processes. The phase space of the variables (concentrations in reactive systems) is partitioned into a finite number of segments, which constitute the…

Statistical Mechanics · Physics 2015-06-17 A. Provata , E. Panagakou

To explore the mechanistic relationships between ageing, frailty and mortality, we developed a computational model in which possible health attributes are represented by the nodes of a complex network. Each node can be either damaged (i.e.…

Populations and Evolution · Quantitative Biology 2017-06-30 Andrew D. Rutenberg , Arnold B. Mitnitski , Spencer Farrell , Kenneth Rockwood

We investigate the dynamic relaxation of random walks on temporal networks by focusing in the recently proposed activity driven model [Perra \textit{et al.} Sci. Rep. srep00469 (2012)]. For realistic activity distributions with a power-law…

Statistical Mechanics · Physics 2014-11-18 Angélica S. Mata , Romualdo Pastor-Satorras

The molecular network in an organism consists of transcription/translation regulation, protein-protein interactions/modifications and a metabolic network, together forming a system that allows the cell to respond sensibly to the multiple…

Molecular Networks · Quantitative Biology 2007-05-23 Sandeep Krishna , Anna M. C. Andersson , Szabolcs Semsey , Kim Sneppen
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