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Cell sorting, whereby a heterogeneous cell mixture segregates and forms distinct homogeneous tissues, is one of the main collective cell behaviors at work during development. Although differences in interfacial energies are recognized to be…

Soft Condensed Matter · Physics 2022-07-15 Marc Durand

Cell-cell adhesion plays a vital role in the development and maintenance of multicellular organisms. One of its functions is regulation of cell migration, such as occurs, e.g. during embryogenesis or in cancer. In this work, we develop a…

Tissues and Organs · Quantitative Biology 2024-03-08 Anna Zhigun , Mabel Lizzy Rajendran

Membrane pores are implicated in several critical functions, including cell fusion and the transport of signaling molecules for intercellular communication. However, these structural features are often difficult to probe directly. Droplet…

Soft Condensed Matter · Physics 2025-11-13 Nivedina A. Sarma , David A. King , Xuefei Wu , Brett A. Helms , Paul D. Ashby , Thomas P. Russell , Ahmad K. Omar

The large scale behaviour of a population of cells that grow and interact through the concentration field of the chemicals they secrete is studied using dynamical renormalization group methods. The combination of the effective long-range…

Cell Behavior · Quantitative Biology 2015-01-19 Anatolij Gelimson , Ramin Golestanian

Elastic confinements are an important component of many biological systems and dictate the transport properties of suspended particles under flow. In this chapter, we review the Brownian motion of a particle moving in the vicinity of a…

Soft Condensed Matter · Physics 2022-10-28 Abdallah Daddi-Moussa-Ider , Stephan Gekle

We study non-equilibrium analogues of surface phase transitions in a minimal model of active particles in contact with a purely repulsive potential barrier that mimics a thin porous membrane. Under conditions of bulk motility-induced phase…

Statistical Mechanics · Physics 2021-12-15 Francesco Turci , Nigel B. Wilding

Trajectories of endosomes inside living eukaryotic cells are highly heterogeneous in space and time and diffuse anomalously due to a combination of viscoelasticity, caging, aggregation and active transport. Some of the trajectories display…

Subcellular Processes · Quantitative Biology 2021-07-28 Nickolay Korabel , Daniel Han , Alessandro Taloni , Gianni Pagnini , Sergei Fedotov , Viki Allan , Thomas A. Waigh

A hallmark of biological tissues, viewed as complex cellular materials, is the active generation of mechanical stresses by cellular processes, such as cell divisions. Each cellular event generates a force dipole that deforms the surrounding…

The optimal shapes attained by contractile cells on adhesive substrates are determined by the interplay between intracellular forces and adhesion with the extracellular matrix. We model the cell as a contractile film bounded by an elastic…

Biological Physics · Physics 2013-05-10 Shiladitya Banerjee , Luca Giomi

Cell motility is one of the most fundamental phenomena underlying biological processes that maintain living organisms alive. Here we introduce a simple model to describe the motility of cells which include not only time-correlated internal…

Biological Physics · Physics 2022-07-13 T. N. Azevedo , L. G. Rizzi

Mechanical characteristics of single biological cells are used to identify and possibly leverage interesting differences among cells or cell populations. Fluidity---hysteresivity normalized to the extremes of an elastic solid or a viscous…

Cell Behavior · Quantitative Biology 2013-10-22 John M. Maloney , Eric Lehnhardt , Alexandra F. Long , Krystyn J. Van Vliet

It is well known that on long time scales the behaviour of tracer particles diffusing in a cellular flow is effectively that of a Brownian motion. This paper studies the behaviour on "intermediate" time scales before diffusion sets in.…

Analysis of PDEs · Mathematics 2016-09-09 Gautam Iyer , Alexei Novikov

A phase field model for fluid-driven dynamic crack propagation in poroelastic media is proposed. Therefore, classical Biot poroelasticity theory is applied in the porous medium while arbitrary crack growth is naturally captured by the phase…

Numerical Analysis · Mathematics 2023-09-07 Shuwei Zhou , Xiaoying Zhuang , Timon Rabczuk

We study the enzymatic degradation of an elastic fiber under tension using an an isotropic random-walk model, coupled with binding-unbinding reactions that weaken the fiber. The fiber is represented by a chain of elastic springs in series,…

Statistical Mechanics · Physics 2009-10-08 Ascânio D. Araújo , Arnab Majumdar , Harikrishnan Parame swaran , Béla Suki

We investigate the dynamics of a colony of crawling, proliferating cells with a minimal, mechanical cell model. The cells consist of two disks, modelling the cell body and a pseudopod, connected by a finite extensible spring. The cells…

Cell Behavior · Quantitative Biology 2019-04-11 Simon K. Schnyder , John J. Molina , Ryoichi Yamamoto

We propose a spreading model in multilayer networks and study the nature of nonequilibrium phase transition in the model. The model integrates the susceptible-infected-susceptible (or susceptible-infected-recovered) spreading dynamics with…

Physics and Society · Physics 2019-08-01 Ningbo An , Hanshuang Chen , Chuang Ma , Haifeng Zhang

We study the dynamics of an interface (active domain) between different absorbing regions in models with two absorbing states in one dimension; probabilistic cellular automata models and interacting monomer-dimer models. These models…

Statistical Mechanics · Physics 2009-10-31 Sungchul Kwon , WonMuk Hwang , Hyunggyu Park

We present a stochastic model which describes fronts of cells invading a wound. In the model cells can move, proliferate, and experience cell-cell adhesion. We find several qualitatively different regimes of front motion and analyze the…

Cell Behavior · Quantitative Biology 2009-11-13 Evgeniy Khain , Leonard M. Sander , Casey M. Schneider-Mizell

The steady state properties of the mean density population of infected cells in a viral spread is simulated by a general forest fire like cellular automaton model with two distinct populations of cells ( permissive and resistant ones) and…

adap-org · Physics 2008-02-03 G. Camelo-Neto , S. Coutinho

Control of cell proliferation is a fundamental aspect of tissue physiology central to morphogenesis, wound healing and cancer. Although many of the molecular genetic factors are now known, the system level regulation of growth is still…

Tissues and Organs · Quantitative Biology 2015-06-03 Alberto Puliafito , Lars Hufnagel , Pierre Neveu , Sebastian Streichan , Alex Sigal , Deborah K. Fygenson , Boris I. Shraiman