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The size and shape of a large variety of polymeric particles, including biological cells, star polymers, dendrimes, and microgels, depend on the applied stresses as the particles are extremely soft. In high-density suspensions these…

Statistical Mechanics · Physics 2018-04-11 Yan-Wei Li , Massimo Pica Ciamarra

Bacterial colonies growing on surfaces are shaped by mechanical stresses transmitted through the community, governed by the balance between cell growth and steric and cell-substrate interactions. Using overdamped dynamics simulations of…

Soft Condensed Matter · Physics 2026-01-14 Samaneh Rahbar , Ludger Santen , Reza Shaebani

The conditions under which biological cells switch from a static to a motile state are fundamental to the understanding of many healthy and pathological processes. In this paper, we show that even in the presence of a fully symmetric…

Biological Physics · Physics 2024-01-12 Jocelyn Étienne , Pierre Recho

Cellular contractility, migration, and extracellular matrix (ECM) mechanics are critical for a wide range of biological processes including embryonic development, wound healing, tissue morphogenesis, and regeneration. Even though the…

Biological Physics · Physics 2023-10-17 Jaemin Kim , Mahmut Selman Sakar , Nikolaos Bouklas

By modifying and calibrating an active vertex model to experiments, we have simulated numerically a confluent cellular monolayer spreading on an empty space and the collision of two monolayers of different cells in an antagonistic migration…

Soft Condensed Matter · Physics 2021-04-02 L. L. Bonilla , A. Carpio , C. Trenado

Cells can sense and respond to mechanical signals over relatively long distances across fibrous extracellular matrices. Here, we explore all of the key factors that influence long range force transmission in cell-populated collagen…

Biological Physics · Physics 2015-06-22 Hailong Wang , Abhilash Nair , Christopher S. Chen , Rebecca G. Wells , Vivek B. Shenoy

The organization of cells within tissues plays a vital role in various biological processes, including development and morphogenesis. As a result, understanding how cells self-organize in tissues has been an active area of research. In our…

Soft Condensed Matter · Physics 2023-10-09 Kanaya Malakar , Rafael I. Rubenstein , Dapeng Bi , Bulbul Chakraborty

We present a continuum model of the coupling between cells and substrate that accounts for some of the observed substrate-stiffness dependence of cell properties. The cell is modeled as an elastic active gel, adapting recently developed…

Cell Behavior · Quantitative Biology 2015-05-28 Shiladitya Banerjee , M. Cristina Marchetti

The directed migration of cells toward stiffer substrate regions or durotaxis is relevant to tissue development and tumor progression. Here, we introduce a phenomenological model for single cell durotaxis that incorporates both elastic…

Soft Condensed Matter · Physics 2024-12-24 Subhaya Bose , Haiqin Wang , Xinpeng Xu , Arvind Gopinath , Kinjal Dasbiswas

The vertex model is a popular framework for modelling tightly packed biological cells, such as confluent epithelia. Cells are described by convex polygons tiling the plane and their equilibrium is found by minimizing a global mechanical…

Biological Physics · Physics 2021-03-17 Oliver E. Jensen , Emma Johns , Sarah Woolner

The cell cortex, a thin film of active material assembled below the cell membrane, plays a key role in cellular symmetry breaking processes such as cell polarity establishment and cell division. Here, we present a minimal model of the…

Biological Physics · Physics 2019-09-30 Alexander Mietke , V. Jemseena , K. Vijay Kumar , Ivo F. Sbalzarini , Frank Jülicher

The vertex model is widely used to describe the dynamics of epithelial tissues, because of its simplicity and versatility and the direct inclusion of biophysical parameters. Here, it is shown that quite generally, when cells modify their…

Soft Condensed Matter · Physics 2020-11-25 Fernanda Perez-Verdugo , Jean-Francois Joanny , Rodrigo Soto

The ability of cells to sense and respond to the mechanical properties of their environments is fundamental to a range of cellular behaviours, with substrate stiffness increasingly being found to be a key signalling factor. Although active…

Cell Behavior · Quantitative Biology 2019-09-04 Carina M. Dunlop

We have developed a novel scanning probe-based methodology to study cell biomechanics. The time dependence of the force exerted by the cell surface on a scanning probe at constant local deformation has been used to extract local…

Biological Physics · Physics 2009-04-20 Susana Moreno-Flores , Rafael Benitez , Maria dM Vivanco , Jose Luis Toca-Herrera

We construct a homogeneous, nonlinear elastic constitutive law, that models aspects of the mechanical behavior of inhomogeneous fibrin networks. Fibers in such networks buckle when in compression. We model this as a loss of stiffness in…

Biological Physics · Physics 2015-12-18 Phoebus Rosakis , Jacob Notbohm , Guruswami Ravichandran

Compliant environments can mediate interactions between mechanically active cells like fibroblasts. Starting with a phenomenological model for the behaviour of single cells, we use extensive Monte Carlo simulations to predict non-trivial…

Soft Condensed Matter · Physics 2007-05-23 I. B. Bischofs , U. S. Schwarz

A constitutive relation between stress and strain relative to a reference state is the basic assumption of elasticity theory. However, in living matter, force generation is governed by motor molecule activity, which does not depend on…

Soft Condensed Matter · Physics 2026-03-17 Nikolas H. Claussen , Fridtjof Brauns , Boris I. Shraiman

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

Surface stress drives long-range elastocapillary interactions at the surface of compliant solids, where it has been observed to mediate interparticle interactions and to alter the transport of liquid drops. We show that such an…

Soft Condensed Matter · Physics 2023-04-06 Lebo Molefe , John Kolinski

In the direct approach to continua in reduced space dimensions, a thin shell is described as a mathematical surface in three-dimensional space. An exploratory kinematic study of such surfaces could be very valuable, especially if conducted…

Differential Geometry · Mathematics 2025-12-25 Andre M. Sonnet , Epifanio G. Virga
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