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How do cells tune emergent properties at the scale of tissues? One class of such emergent behaviors are rigidity transitions, in which a tissue changes from a solid-like to a fluid-like state or vice versa. Here, we introduce a new way for…

Soft Condensed Matter · Physics 2025-06-04 Sadjad Arzash , Indrajit Tah , Andrea J. Liu , M. Lisa Manning

Connecting cell behavior to tissue shape and mechanics is a key challenge in the physics of morphogenesis. Cytoskeletal turnover precludes a fixed reference state, and tensions are actively generated independently of strain; so conventional…

Soft Condensed Matter · Physics 2026-05-28 Nikolas H. Claussen , Fridtjof Brauns , Boris I. Shraiman

We consider a one-dimensional elastic membrane, which is pushed by growing filaments. The filaments tend to grow by creating local protrusions in the membrane and this process has surface energy and bending energy costs. Although it is…

Biological Physics · Physics 2019-08-05 Raj Kumar Sadhu , Sakuntala Chatterjee

Athermal models of disordered fibrous networks are highly useful for studying the mechanics of elastic networks composed of stiff biopolymers. The underlying network architecture is a key aspect that can affect the elastic properties of…

Soft Condensed Matter · Physics 2016-01-20 Albert James Licup , Abhinav Sharma , Fred C. MacKintosh

A self-interacting polymer can undergo an orientational ordering transition, depending on the magnitude of the nematic interaction. The effect of embedding such a polymer into a flexible surface on this transition is studied on the…

Condensed Matter · Physics 2009-10-28 Rudolf Podgornik

We study the elasticity of fibrous materials composed of generalized stiff polymers. It is shown that in contrast to cellular foam-like structures affine strain fields are generically unstable. Instead, a subtle interplay between the…

Soft Condensed Matter · Physics 2007-05-23 Claus Heussinger , Erwin Frey

Cells actively probe and respond to the stiffness of their surroundings. Since mechanosensory cells in connective tissue are surrounded by a disordered network of biopolymers, their in vivo mechanical environment can be extremely…

Soft Condensed Matter · Physics 2016-08-05 Farzan Beroz , Louise M. Jawerth , Stefan Münster , David A. Weitz , Chase P. Broedersz , Ned S. Wingreen

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

Using a mean field approach and simulation, we study the non-linear mechanical response of the vertex model (VM) of biological tissue under compression and dilation. The VM is known to exhibit a transition between rigid and fluid-like, or…

Soft Condensed Matter · Physics 2023-03-14 Arthur Hernandez , Michael F. Staddon , Michael Moshe , M. Cristina Marchetti

Here, we provide an overview of theoretical approaches to semiflexible polymers and their networks. Such semiflexible polymers have large bending rigidities that can compete with the entropic tendency of a chain to crumple up into a random…

Soft Condensed Matter · Physics 2016-05-25 Chase P. Broedersz , Fred. C. MacKintosh

We study the influence of cell-level mechanical heterogeneity in epithelial tissues using a vertex-based model. Heterogeneity in single cell stiffness is introduced as a quenched random variable in the preferred shape index($p_0$) for each…

Biological Physics · Physics 2019-08-07 Xinzhi Li , Amit Das , Dapeng Bi

In vivo and in vitro cells rely on the support of an underlying biocompatible substrate, such as the extracellular matrix or a culture substrate, to spread and proliferate. The mechanical and chemical properties of such structures play a…

Soft Condensed Matter · Physics 2021-11-04 Diogo E. P. Pinto , Margarida M. Telo da Gama , Nuno A. M. Araujo

Biological processes, from morphogenesis to tumor invasion, spontaneously generate shear stresses inside living tissue. The mechanisms that govern the transmission of mechanical forces in epithelia and the collective response of the tissue…

Soft Condensed Matter · Physics 2022-11-29 Junxiang Huang , James O. Cochran , Suzanne M. Fielding , M. Cristina Marchetti , Dapeng Bi

In biological tissues, it is now well-understood that mechanical cues are a powerful mechanism for pattern regulation. While much work has focused on interactions between cells and external substrates, recent experiments suggest that cell…

Soft Condensed Matter · Physics 2017-11-01 Michael Czajkowski , Dapeng Bi , M. Lisa Manning , M. Cristina Marchetti

Networks of filamentous proteins play a crucial role in cell mechanics. These cytoskeletal networks, together with various crosslinking and other associated proteins largely determine the (visco)elastic response of cells. In this letter we…

Disordered Systems and Neural Networks · Physics 2009-11-10 D. A. Head , A. J. Levine , F. C. MacKintosh

Living tissues show an extraordinary adaptiveness to strain, which is crucial for their proper biological functioning. The physical origin of this mechanical behaviour has been widely investigated using reconstituted networks of collagen…

Soft Condensed Matter · Physics 2019-02-25 Federica Burla , Justin Tauber , Simone Dussi , Jasper van der Gucht , Gijsje H. Koenderink

Both animal and plant tissue exhibit a nonlinear rheological phenomenon known as compression stiffening, or an increase in moduli with increasing uniaxial compressive strain. Does such a phenomenon exist in single cells, which are the…

Morphological instabilities of growing tissues that impinge on passive materials are typical of invasive cancers. To explain these instabilities in experiments on breast epithelial spheroids in an extracellular matrix, we develop a…

Soft Condensed Matter · Physics 2026-02-12 Sumit Sinha , Haiqian Yang , L Mahadevan

The initiation of directional cell motion requires symmetry breaking that can happen both with or without external stimuli. During cell crawling, forces generated by the cytoskeleton and their transmission through mechanosensitive adhesions…

Cell Behavior · Quantitative Biology 2023-06-02 Yuzhu Chen , David Saintillan , Padmini Rangamani

Biological membranes undergo noticeable thermal fluctuations at physiological temperatures. When two membranes approach each other, they hinder the out of plane fluctuations of the other. This hindrance leads to an entropic repulsive force…

Soft Condensed Matter · Physics 2021-04-27 Kosar Mozaffari , Fatemeh Ahmadpoor , Pradeep Sharma