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In Part I of this article we have developed a novel mechanobiological model of a Tissue Engineering process that accounts for the mechanisms through which an isotropic or anisotropic adherence condition regulates the active functions of the…

Numerical Analysis · Mathematics 2015-12-14 Chiara Lelli , Riccardo Sacco , Paola Causin , Manuela T. Raimondi

Collective behaviors in cellular systems are regulated not only by biochemical signalling pathways but also by intercellular mechanical forces, whose quantification in contractile monolayers remains poorly understood. Here, by integrating…

Quantitative Methods · Quantitative Biology 2025-10-30 Yucheng Huo , Kexin Guo , Massimo Paradiso , K. Jimmy Hsia

The relationship between velocities, tractions, and intercellular stresses in the migrating epithelial monolayer are currently unknown. Ten years ago, a method known as Monolayer Stress Microscopy (MSM) was suggested from which the…

Biological Physics · Physics 2020-06-04 Yoav Green , Jeffrey J. Fredberg , James P. Butler

Although mechanical cues are crucial to tissue morphogenesis and development, the tissue mechanical stress field remains poorly characterized. Given traction force timelapse movies, as obtained by traction force microscopy of in vitro…

Quantitative Methods · Quantitative Biology 2019-04-22 V. Nier , G. Peyret , J. d'Alessandro , S. Ishihara , B. Ladoux , P. Marcq

Biological tissues exhibit diverse mechanical and rheological behaviors during morphogenesis. While much is known about tissue phase transitions controlled by structural order and cell mechanics, key questions regarding how tissue-scale…

Soft Condensed Matter · Physics 2026-04-29 Pengyu Yu , Fridtjof Brauns , M. Cristina Marchetti

The evolution of various competing cell types in tissues, and the resulting persistent tissue population, is studied numerically and analytically in a particle-based model of active tissues. Mutations change the properties of cells in…

Populations and Evolution · Quantitative Biology 2024-06-03 Tobias Büscher , Nirmalendu Ganai , Gerhard Gompper , Jens Elgeti

Collective cell migration is a highly regulated process involved in wound healing, cancer metastasis and morphogenesis. Mechanical interactions among cells provide an important regulatory mechanism to coordinate such collective motion.…

Soft Condensed Matter · Physics 2022-06-08 Xingbo Yang , Dapeng Bi , Michael Czajkowski , Matthias Merkel , M. Lisa Manning , M. Cristina Marchetti

The mechanism by which cells measure the dimension of the organ in which they are embedded, and slow down their growth when the final size is reached, is a long-standing problem of developmental biology. The role of mechanics in this…

Biological Physics · Physics 2023-07-19 Alexander Erlich , Pierre Recho

We propose a three dimensional mechanical model of embryonic tissue dynamics. Mechanically coupled adherent cells are represented as particles interconnected with elastic beams which can exert non-central forces and torques. Tissue…

Biological Physics · Physics 2015-06-22 Andras Czirok , Dona Greta Isai

Cells within biological tissue are constantly subjected to dynamic mechanical forces. Measuring the internal stress of tissues has proven crucial for our understanding of the role of mechanical forces in fundamental biological processes…

Quantitative Methods · Quantitative Biology 2025-12-02 L. Anger , A. Schoenit , F. Wodrascka , C. Rossé , R. M. Mège , B. Ladoux , P. Marcq

Adhesion-dependent cells actively sense the mechanical properties of their environment through mechanotransductory processes at focal adhesions, which are integrin-based contacts connecting the extracellular matrix to the cytoskeleton. Here…

Subcellular Processes · Quantitative Biology 2007-05-23 Ulrich S. Schwarz , Thorsten Erdmann , Ilka B. Bischofs

Morphogenetic dynamics of tissue sheets require coordinated cell shape changes regulated by global patterning of mechanical forces. Inspired by such biological phenomena, we propose a minimal mechanochemical model based on the notion that…

Soft Condensed Matter · Physics 2021-01-01 Andrei Zakharov , Kinjal Dasbiswas

It is now widely recognized that mechanical interactions between cells play a crucial role in epithelial morphogenesis, yet understanding the mechanisms through which stress and deformation affect cell behavior remains an open problem due…

Tissues and Organs · Quantitative Biology 2017-01-20 Nicholas Noll , Madhav Mani , Idse Heemskerk , Sebastian Streichan , Boris I. Shraiman

We consider a cellular monolayer, described using a vertex-based model, for which cells form a spatially disordered array of convex polygons that tile the plane. Equilibrium cell configurations are assumed to minimize a global energy…

Cell Behavior · Quantitative Biology 2018-05-30 Alexander Nestor-Bergmann , Emma Johns , Sarah Woolner , Oliver E. Jensen

Epithelial-Mesenchymal Transition (EMT), and the corresponding reverse process, Mesenchymal-Epithelial Transition (MET), are dynamic and reversible cellular programs orchestrated by many changes at biochemical and morphological levels. A…

Molecular Networks · Quantitative Biology 2019-07-26 Shubham Tripathi , Jianhua Xing , Herbert Levine , Mohit Kumar Jolly

The mechanics of epithelial tissues, which is governed by forces generated in various cell domains, is often investigated using two-dimensional models that account for the apically-positioned actomyosin structures but neglect basolateral…

Soft Condensed Matter · Physics 2024-03-01 Jan Rozman , Matej Krajnc , Primož Ziherl

The alignment of cell-cell junctions and associated cortical actomyosin across multiple cells to form supracellular cables in an epithelium is an example of the long range tissue organization that drives morphogenesis. Here we demonstrate…

Tissues and Organs · Quantitative Biology 2018-09-13 Meryl A Spencer , Jesus Lopez-Gay , Hayden Nunley , Yohanns Bellaïche , David K Lubensky

We present a model for mechanically-induced pattern formation in growing biological tissues and discuss its application to the development of leaf venation networks. Drawing an analogy with phase transitions in solids, we use a phase field…

Soft Condensed Matter · Physics 2010-10-29 F. Corson , H. Henry , M. Adda-Bedia

In tissue development, wound healing, and cancer invasion, coordinated cell motion arises from active forces produced by the cells. The relationship between force and motion remains unclear, however, because the forces result from a sum of…

Biological Physics · Physics 2025-12-17 Molly McCord , Jacob Notbohm

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…