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Cells continuously probe their environment with membrane receptors, achieving subsecond adaptation of their behaviour [1-3]. Recently, several receptors, including cadherins, were found to bind ligands with a lifetime of order of one…

Cadherins mediate cell-cell adhesion and help the cell determine its shape and function. Here we study collective cadherin organization and interactions within cell-cell contact areas, and find the cadherin density at which a gas-liquid…

软凝聚态物质 · 物理学 2022-06-13 Neil Ibata , Eugene M. Terentjev

In this paper we study the continuous coagulation and multiple fragmentation equation for the mean-field description of a system of particles taking into account the combined effect of the coagulation and the fragmentation processes in…

偏微分方程分析 · 数学 2018-11-16 Prasanta Kumar Barik

It has recently been shown that structural conditions on the reaction network, rather than a 'fine-tuning' of system parameters, often suffice to impart 'absolute concentration robustness' on a wide class of biologically relevant,…

概率论 · 数学 2014-01-20 David F. Anderson , German Enciso , Matthew Johnston

We use X-ray tomography to investigate the translational and rotational dynamical heterogeneities of a three dimensional hard ellipsoids granular packing driven by oscillatory shear. We find that particles which translate quickly form…

无序系统与神经网络 · 物理学 2018-07-11 Binquan Kou , Yixin Cao , Jindong Li , Chengjie Xia , Zhifeng Li , Haipeng Dong , Ang Zhang , Jie Zhang , Walter Kob , Yujie Wang

The model of binary aggregation with constant kernel is subjected to stochastic resetting: aggregates of any size explode into monomers at independent stochastic times. These resetting times are Poisson distributed, and the rate of the…

统计力学 · 物理学 2021-08-11 Pascal Grange

We present a model for sticky particles in which cluster sizes after a reaction have $\ell$ fewer total particles than the sum of their reactants. The finite particle system is modeled as a Markov process under a mean-field assumption for…

偏微分方程分析 · 数学 2026-04-16 Joseph Klobusicky , Matthew Rakauskas

We study the effect of confinement on diffusion limited bimolecular reactions within a lattice model where a small number of reactants diffuse amongst a much larger number of inert particles. When the number of inert particles is held…

软凝聚态物质 · 物理学 2013-05-29 Jeremy D. Schmit , Ercan Kamber , Jané Kondev

Clustering of molecules on biological membranes is a widely observed phenomenon. In some cases, such as the clustering of Ras proteins on the membranes of mammalian cells, proper cell signaling is critically dependent on the maintenance of…

分子网络 · 定量生物学 2019-08-28 Martijn Wehrens , Pieter Rein ten Wolde , Andrew Mugler

We propose a kinetic relaxation-model to describe a generation-recombination reaction of two species. The decay to equilibrium is studied by two recent methods for proving hypocoercivity of the linearized equations. Exponential decay of…

偏微分方程分析 · 数学 2015-03-20 Lukas Neumann , Christian Schmeiser

We consider a coupled system consisting of a kinetic equation coupled to a macroscopic Stokes (or Navier-Stokes) equation and describing the motion of a suspension of rigid rods in gravity. A reciprocal coupling leads to the formation of…

流体动力学 · 物理学 2015-10-13 Christiane Helzel , Athanasios E. Tzavaras

We study the relaxation process in a simple glass-former - the KA lattice gas model. We show that, for this model, structural relaxation is due to slow percolation of regions of co-operatively moving particles, which leads to heterogeneous…

统计力学 · 物理学 2009-11-13 Pinaki Chaudhuri , Srikanth Sastry , Walter Kob

The competition of depletion attractions and longer-ranged repulsions between colloidal particles in colloid-polymer mixtures leads to the formation of heterogeneous gel-like structures. For instance, gel networks, i.e., states where the…

软凝聚态物质 · 物理学 2021-06-24 Matthias Gimperlein , Michael Schmiedeberg

Coupling frequently enhances noise-induced coherence and synchronization in interacting nonlinear systems, but it does so separately. In principle collective stochastic coherence and synchronizability are incompatible phenomena, since…

适应与自组织系统 · 物理学 2015-06-17 Pablo Balenzuela , Pau Rué , Stefano Boccaletti , Jordi García-Ojalvo

A driven system of three species of particle diffusing on a ring is studied in detail. The dynamics is local and conserves the three densities. A simple argument suggesting that the model should phase separate and break the translational…

统计力学 · 物理学 2009-10-31 M. R. Evans , Y. Kafri , H. M. Koduvely , D. Mukamel

The one-dimensional contact process is analyzed by a cluster approximation. In this approach, the hierarchy of rate equations for the densities of finite length empty intervals are truncated under the assumption that adjacent intervals are…

凝聚态物理 · 物理学 2009-10-22 E. Ben-Naim , P. L. Krapivsky

Most cancers in humans are large, measuring centimeters in diameter, composed of many billions of cells. An equivalent mass of normal cells would be highly heterogeneous as a result of the mutations that occur during each cell division.…

种群与进化 · 定量生物学 2016-02-17 Bartlomiej Waclaw , Ivana Bozic , Meredith E. Pittman , Ralph H. Hruban , Bert Vogelstein , Martin A. Nowak

The search for highly coherent degrees of freedom in noisy solid-state environments is a major challenge in condensed matter. In disordered dipolar systems, such as magnetically doped insulators, compact clusters of two-level systems (TLS)…

量子物理 · 物理学 2024-12-10 Lorenzo Amato , Manuel Grimm , Markus Müller

A simple three-dimensional model of a fluid whose constituent particles interact via a short range attractive and long range repulsive potential is used to model the aggregation into large spherical-like clusters made up of hundreds of…

软凝聚态物质 · 物理学 2025-02-11 Antonio Díaz-Pozuelo , Diego González-Salgado , Enrique Lomba

We describe spatio-temporal correlations and heterogeneities in a kinetically constrained glassy model, the Kob-Andersen model. The kinetic constraints of the model alone induce the existence of dynamic correlation lengths, that increase as…

无序系统与神经网络 · 物理学 2009-11-10 Enzo Marinari , Estelle Pitard