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Several biological and social contagion phenomena, such as superspreading events or social reinforcement, are the results of multi-body interactions, for which hypergraphs offer a natural mathematical description. In this paper, we develop…

Cellular membranes exhibit a large variety of shapes, strongly coupled to their function. Many biological processes involve dynamic reshaping of membranes, usually mediated by proteins. This interaction works both ways: while proteins…

Soft Condensed Matter · Physics 2018-06-12 Afshin Vahid , Anđela Šarić , Timon Idema

Motivated by a general principle governing regulation mechanisms in biological cells, we investigate a general interaction scheme between different populations of particles and specific particles, referred to as agents. Assuming that each…

Probability · Mathematics 2023-10-10 Vincent Fromion , Philippe Robert , Jana Zaherddine

In these Lecture Notes we aim at clarifying how soft matter physics, and herein notably statistical mechanics and fluid mechanics, can be engaged to understand and manipulate non-equilibrium systems consisting of numerous (microscopic)…

Soft Condensed Matter · Physics 2025-05-27 Jean-François Joanny , Joseph O. Indekeu

Counts in cells are used to analyse the higher order properties of the statistics of the EDSGC survey. The probability distribution is obtained from an equal area projection source catalog with infinite oversampling over the range…

Astrophysics · Physics 2009-10-28 István Szapudi , Avery Meiksin , Robert C. Nichol

A statistical mechanical theory is presented to predict the effects of macromolecular crowding on protein association equilibria, accounting for both excluded volume and attractive interactions between proteins and crowding molecules.…

Soft Condensed Matter · Physics 2015-06-11 Young C. Kim , Jeetain Mittal

We study mixing patterns in networks, meaning the propensity for nodes of different kinds to connect to one another. The phenomenon of assortative mixing, whereby nodes prefer to connect to others that are similar to themselves, has been…

Social and Information Networks · Computer Science 2019-04-24 George T. Cantwell , M. E. J. Newman

Interference occurs when the potential outcomes of a unit depend on the treatment of others. Interference can be highly heterogeneous, where treating certain individuals might have a larger effect on the population's overall outcome. A…

Methodology · Statistics 2025-04-11 Samantha G Dean , Georgia Papadogeorgou , Laura Forastiere

This paper concerns the long term behaviour of a growth model describing a random sequential allocation of particles on a finite cycle graph. The model can be regarded as a reinforced urn model with graph-based interactions. It is motivated…

Probability · Mathematics 2018-05-23 Marcelo Costa , Mikhail Menshikov , Vadim Shcherbakov , Marina Vachkovskaia

Many biological systems fold thin sheets of lipid membrane into complex three-dimensional structures. This microscopic origami is often mediated by the adsorption and self-assembly of proteins on a membrane. As a model system to study…

Soft Condensed Matter · Physics 2016-10-11 Raphael Sarfati , Eric R. Dufresne

Suspensions of swimming micro-organisms provide examples of coordinated active dynamics. That has stimulated the study of a phenomenological theory combining synchronization and polar order in active matter. Here, we consider another…

Soft Condensed Matter · Physics 2019-04-08 M. Leoni

Evaluating accessible conformational space is computationally expensive and thermal motions are partly neglected in computer models of molecular interactions. This produces error into the estimates of binding strength. We introduce a method…

Quantitative Methods · Quantitative Biology 2016-12-13 Riku Hakulinen , Santeri Puranen

We follow the time sequence of binary elastic collisions in a small collection of hard-core particles. Intervals between the collisions are characterized by the numbers of collisions of different pairs in a given time. It was shown…

Chaotic Dynamics · Physics 2012-02-21 Alexander Jonathan Vidgop , Itzhak Fouxon

Partitioning of (bio)materials in polymeric mixtures is a key phenomenon both in cellular environments, as well as in industrial applications. In cells, several macromolecules are suspended within different biomolecular phases. On the other…

Soft Condensed Matter · Physics 2025-10-15 Vikki Anand Varma , Alberto Scacchi

The ability of cells to reorganize in response to external stimuli is important in areas ranging from morphogenesis to tissue engineering. Elongated cells can co-align due to steric effects, forming states with local order. We show that…

The presence of one or more species at some spatial locations but not others is a central matter in ecology. This phenomenon is related to ecological pattern formation. Nonlocal interactions can be considered as one of the mechanisms…

Populations and Evolution · Quantitative Biology 2017-12-29 Ozgur Aydogmus

Lipid membranes, the barrier defining living cells and many of their sub-compartments, bind to a wide variety of nano- and micro-meter sized objects. In the presence of strong adhesive forces, membranes can strongly deform and wrap the…

Animals use various processes to inform themselves about their environment and make decisions about how to move and form their territory. In some cases, populations inform themselves of competing groups through observations at distances,…

Populations and Evolution · Quantitative Biology 2022-11-17 Erin Ellefsen , Nancy Rodriguez

In this article we provide a systematic experimental method for sorting animals according to socially relevant traits, without assaying them or even tagging them individually. Instead, they are repeatedly subjected to behavioural assays in…

Quantitative Methods · Quantitative Biology 2017-02-23 Alex Szorkovszky , Alexander Kotrschal , James E. Herbert Read , David J. T. Sumpter , Niclas Kolm , Kristiaan Pelckmans

We discuss biologically inspired, inherently non-equilibrium self-propelled particle models, in which the particles interact with their neighbours by choosing at each time step the local average direction of motion. We summarize some of the…

Statistical Mechanics · Physics 2007-05-23 Andras Czirok , Tamas Vicsek