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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

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

Adhesive cell-substrate interactions are crucial for cell motility and are responsible for the necessary traction that propels cells. These interactions can also change the shape of the cell, analogous to liquid droplet wetting on adhesive…

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

Cell layers eliminate unwanted cells through the extrusion process, which underlines healthy versus flawed tissue behaviors. Although several biochemical pathways have been identified, the underlying mechanical basis including the forces…

Soft Condensed Matter · Physics 2023-04-20 Siavash Monfared , Guruswami Ravichandran , Jose E. Andrade , Amin Doostmohammadi

Exact solutions are derived for the problem of a two-dimensional, infinitely anisotropic, linear-elastic medium containing a periodic lattice of voids. The matrix material possesses either one infinitely soft, or one infinitely hard loading…

Materials Science · Physics 2008-04-17 Francois Willot , Yves-Patrick Pellegrini , Pedro Ponte Castaneda

Living cells respond to mechanical changes in the matrix surrounding them by applying contractile forces that are in turn transmitted to distant cells. We calculate the mechanical work that each cell performs in order to deform the matrix,…

Soft Condensed Matter · Physics 2021-08-17 Chaviva Sirote , Yair Shokef

Understanding cellular response to mechanical forces is immensely important for a plethora of biological processes. Focal adhesions are multi-molecular protein assemblies that connect the cell to the extracellular matrix and play a pivotal…

Biological Physics · Physics 2019-10-25 Rumi De

The unique nonlinear mechanics of the fibrous extracellular matrix (ECM) facilitates long-range cell-cell mechanical communications that would be impossible on linear elastic substrates. Past research has described the contribution of two…

Biological Physics · Physics 2019-05-14 Shahar Goren , Yoni Koren , Xinpeng Xu , Ayelet Lesman

We use a computational phase-field model together with analytical analysis to study how inter-cellular active forces can mediate individual cell morphology and collective motion in a confluent cell monolayer. Contractile inter-cellular…

Soft Condensed Matter · Physics 2021-11-30 Guanming Zhang , Julia M. Yeomans

We investigate the elasticity of unsupported epithelial monolayer and we discover that unlike a thin solid plate, which wrinkles if geometrically incompatible with the underlying substrate, the epithelium may do so even in absence of the…

Soft Condensed Matter · Physics 2023-05-24 Urška Andrenšek , Primož Ziherl , Matej Krajnc

Nonlinear stiffening is a ubiquitous property of major types of biopolymers that make up the extracellular matrices (ECM) including collagen, fibrin and basement membrane. Within the ECM, many types of cells such as fibroblasts and cancer…

Mechanical cues from the extracellular microenvironment play a central role in regulating the structure, function and fate of living cells. Nevertheless, the precise nature of the mechanisms and processes underlying this crucial cellular…

Biological Physics · Physics 2015-06-23 Ariel Livne , Eran Bouchbinder , Benjamin Geiger

Epithelial cell monolayers expand on substrates by forming finger-like protrusions, created by leader cells, in the monolayer boundary. Information transmission and communication between individual entities in the cohesive collective lead…

Biological Physics · Physics 2021-09-06 Sameeksha Rao , Suvakash Dey , Namrata Gundiah

Biopolymer Networks play an important role in coordinating and regulating collective cellular dynamics via a number of signaling pathways. Here, we investigate the mechanical response of a model biopolymer network due to the active…

Soft Condensed Matter · Physics 2016-11-23 Long Liang , Christopher Jones , Bo Sun , Yang Jiao

Large-scale force generation is essential for biological functions such as cell motility, embryonic development, and muscle contraction. In these processes, forces generated at the molecular level by motor proteins are transmitted by…

Soft Condensed Matter · Physics 2016-04-05 Pierre Ronceray , Chase Broedersz , Martin Lenz

Movement within eukaryotic cells largely originates from localized forces exerted by myosin motors on scaffolds of actin filaments. Although individual motors locally exert both contractile and extensile forces, large actomyosin structures…

Biological Physics · Physics 2014-10-06 Martin Lenz

Although understanding the collective migration of cells, such as that seen in epithelial sheets, is essential for understanding diseases such as metastatic cancer, this motion is not yet as well characterized as individual cell migration.…

Collective cell migration plays a crucial role in many developmental processes that underlie morphogenesis, wound healing, or cancer progression. In such coordinated behaviours, cells are organised in coherent structures and actively…

Soft Condensed Matter · Physics 2021-06-16 Carolina Trenado , Luis L. Bonilla , Alejandro Martínez-Calvo

In the context of elasticity theory, rigidity theorems allow to derive global properties of a deformation from local ones. This paper presents a new asymptotic version of rigidity, applicable to elastic bodies with sufficiently stiff…

Analysis of PDEs · Mathematics 2019-09-04 Fabian Christowiak , Carolin Kreisbeck