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We study the dynamics of proliferating cell collectives whose microscopic constituents' growth is inhibited by macroscopic growth-induced stress. Discrete particle simulations of a growing collective show the emergence of concentric-ring…

Biological Physics · Physics 2024-05-17 Scott Weady , Bryce Palmer , Adam Lamson , Taeyoon Kim , Reza Farhadifar , Michael J. Shelley

We propose a dynamical model for group formation and switching behavior in systems where each group competes for members through attraction functions that are inversely proportional to their current sizes. This attraction is modulated by…

Dynamical Systems · Mathematics 2026-03-12 Samit Ghosh

Cellular self-assembly and organization are fundamental steps for the development of biological tissues. In this paper, within the framework of a cellular automata model, we address how an ordered tissue pattern spontaneously emerges from a…

Biological Physics · Physics 2019-10-24 Debangana Mukhopadhyay , Rumi De

Many biological processes are supported by special molecules, called motor proteins or molecular motors, that transport cellular cargoes along linear protein filaments and can reversibly associate to their tracks. Stimulated by these…

Statistical Mechanics · Physics 2021-11-17 Akriti Jindal , Anatoly B. Kolomeisky , Arvind Kumar Gupta

In living cells, proteins self-assemble into large functional structures based on specific interactions between molecularly complex patches. Due to this complexity, protein self-assembly results from a competition between a large number of…

Soft Condensed Matter · Physics 2024-12-10 Lara Koehler , Pierre Ronceray , Martin Lenz

We propose the use of topographic modulation of surfaces to select and localize particles in nematic colloids. By considering convex and concave deformations of one of the confining surfaces we show that the colloid-flat surface repulsion…

Soft Condensed Matter · Physics 2014-10-15 Z. Eskandari , N. M. Silvestre , M. M. Telo da Gama , M. R. Ejtehadi

Ordered polarity alignment of a cell population plays a vital role in biology, such as in hair follicle alignment and asymmetric cell division. Here, we propose a theoretical framework for the understanding of generic dynamical properties…

Pattern Formation and Solitons · Physics 2016-12-13 Kaori Sugimura , Hiroshi Kori

Stochastic models of diffusion with excluded-volume effects are used to model many biological and physical systems at a discrete level. The average properties of the population may be described by a continuum model based on partial…

Chemical Physics · Physics 2012-12-20 Maria Bruna , S. Jonathan Chapman

Cellular aggregates play a significant role in the evolution of biological systems such as tumor growth, tissue spreading, wound healing, and biofilm formation. Analysis of such biological systems, in principle, includes examining the…

Numerical Analysis · Mathematics 2022-08-17 Soheil Firooz , Stefan Kaessmair , Vasily Zaburdaev , Ali Javili , Paul Steinmann

Many types of mammalian cells exert active contractile forces and mechanically deform their elastic substrate, to accomplish biological functions such as cell migration. These substrate deformations provide a mechanism by which cells can…

Soft Condensed Matter · Physics 2022-02-22 Subhaya Bose , Patrick S. Noerr , Ajay Gopinathan , Arvind Gopinath , Kinjal Dasbiswas

The shape of a cell influences and it is influenced by interactions with its neighbouring partners. Here, we introduce a coarse-grained model of non-reciprocal interactions between single-cell organisms to study emergent morphologies during…

Soft Condensed Matter · Physics 2025-06-17 Maitane Muñoz-Basagoiti , Michael Wassermair , Miguel Amaral , Buzz Baum , Anđela Šarić

We introduce a model for stochastic transport on a one-dimensional substrate with particles assuming different conformations during their stepping cycles. These conformations correspond to different footprints on the substrate: in order to…

Statistical Mechanics · Physics 2019-06-26 Yvan Rousset , Luca Ciandrini , Norbert Kern

Adhesion bonds between membranes and surfaces are attracted to each other via effective interactions whose origin the entropy loss due to the reduction in the amplitude of the membrane thermal fluctuations in the vicinity of the adhesion…

Soft Condensed Matter · Physics 2015-05-30 Noam Weil , Oded Farago

A thermodynamically consistent phase-field model is introduced for simulating multicellular deformation, and aggregation under flow conditions. In particular, a Lennard-Jones type potential is proposed under the phase-field framework for…

Numerical Analysis · Mathematics 2022-05-17 Lingyue Shen , Ping Lin , Zhiliang Xu , Shixin Xu

Collections of cells exhibit coherent migration during morphogenesis, cancer metastasis, and wound healing. In many cases, bigger clusters split, smaller sub-clusters collide and reassemble, and gaps continually emerge. The connections…

Biological Physics · Physics 2021-03-31 Ushasi Roy , Andrew Mugler

Cells in tissues can organize into a broad spectrum of structures according to their function. Drastic changes of organization, such as epithelial-mesenchymal transitions or the formation of spheroidal aggregates, are often associated…

Biological Physics · Physics 2016-12-22 Bart Smeets , Ricard Alert , Jiri Pesek , Ignacio Pagonabarraga , Herman Ramon , Romaric Vincent

We study scaling properties of stochastic aggregation processes in one dimension. Numerical simulations for both diffusive and ballistic transport show that the mass distribution is characterized by two independent nontrivial exponents…

Statistical Mechanics · Physics 2007-05-23 E. Ben-Naim , P. L. Krapivsky

Active particles contain internal degrees of freedom with the ability to take in and dissipate energy and, in the process, execute systematic movement. Examples include all living organisms and their motile constituents such as molecular…

Soft Condensed Matter · Physics 2015-05-18 Sriram Ramaswamy

Intermolecular forces are known to precipitate adhesion events between solid bodies. Inspired by a macro-scale experiment showing the hysteretic adhesion of a piece of flexible tape over a plastic substrate, we develop here a model of…

Soft Condensed Matter · Physics 2009-07-05 Arthur A. Evans , Eric Lauga

The dispersal of cells from an initially constrained location is a crucial aspect of many physiological phenomena ranging from morphogenesis to tumour spreading. In such processes, the way cell-cell interactions impact the motion of single…