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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

The vertex model is widely used to simulate the mechanical properties of confluent epithelia and other multicellular tissues. This inherently discrete framework allows a Cauchy stress to be attributed to each cell, and its symmetric…

Tissues and Organs · Quantitative Biology 2022-10-10 Oliver E. Jensen , Christopher K. Revell

Embryonic tissues deform across broad spatial and temporal scales and relax stress through active rearrangements. A quantitative link between cell-scale activity, spatial forcing, and emergent tissue-scale mechanics remains incomplete.…

Biological Physics · Physics 2025-12-18 Sahil Islam , Mohd. Suhail Rizvi , Anupam Gupta

Organogenesis involves large deformations and complex shape changes that require elaborate mechanical regulation. Models of tissue biomechanics have been introduced to account for the coupling between mechanical response and biochemical…

Soft Condensed Matter · Physics 2025-04-16 Patrick W. Alford , Luiza Angheluta , Jorge Vinals

Tissue fluidity regulates many critical biological processes, including embryonic development, wound healing, and cancer metastasis. In confluent epithelia, where cell packing fraction is effectively fixed, the prevailing paradigm…

Biological Physics · Physics 2026-03-09 Pradip K. Bera , Anh Q. Nguyen , Molly McCord , Dapeng Bi , Jacob Notbohm

Although tissues are usually studied in isolation, this situation rarely occurs in biology, as cells, tissues, and organs, coexist and interact across scales to determine both shape and function. Here, we take a quantitative approach…

Tissues and Organs · Quantitative Biology 2023-02-07 Carles Falcó , Daniel J. Cohen , José A. Carrillo , Ruth E. Baker

We study a mixture of extensile and contractile cells using a vertex model extended to include active nematic stresses. The two cell populations phase separate over time. While phase separation strengthens monotonically with an increasing…

Soft Condensed Matter · Physics 2024-10-11 Jan Rozman , Julia M. Yeomans

Biological tissues transform between solid-like and liquid-like states in many fundamental physiological events. Recent experimental observations further suggest that in two-dimensional epithelial tissues these solid-liquid transformations…

Soft Condensed Matter · Physics 2024-05-06 Yiwen Tang , Siyuan Chen , Mark J. Bowick , Dapeng Bi

Biological cells are able to generate intricate structures and respond to external stimuli, sculpting their membrane from within. Simplified biomimetic systems can aid in understanding the principles which govern these shape changes and…

Models for confluent biological tissues often describe the network formed by cells as a triple-junction network, similar to foams. However, higher order vertices or multicellular rosettes are prevalent in developmental and {\it in vitro}…

Biological Physics · Physics 2019-02-20 Le Yan , Dapeng Bi

In development and homeostasis, multi-cellular systems exhibit spatial and temporal heterogeneity in their biochemical and mechanical properties. Nevertheless, it remains unclear how spatiotemporally heterogeneous forces affect the…

Soft Condensed Matter · Physics 2022-02-18 Takaki Yamamoto , Daniel M. Sussman , Tatsuo Shibata , M. Lisa Manning

We derive a continuum mechanical model to capture the morphological changes occurring at the pretumoral stage of epithelial tissues. The proposed model aims to investigate the competition between the bulk elasticity of the epithelium and…

Soft Condensed Matter · Physics 2021-07-27 Antonino Favata , Roberto Paroni , Filippo Recrosi , Giuseppe Tomassetti

We use the normal mode formalism to study the shear rheology of the vertex model for epithelial tissue mechanics in the overdamped linear response regime. We consider systems with external (e.g., cell-substrate) and internal (e.g.,…

Soft Condensed Matter · Physics 2023-02-27 Sijie Tong , Rastko Sknepnek , Andrej Kosmrlj

Network equilibrium models represent a versatile tool for the analysis of interconnected objects and their relationships. They have been widely employed in both science and engineering to study the behavior of complex systems under various…

Adaptation and Self-Organizing Systems · Physics 2024-10-31 Omar Aloui , David Orden , Nizar Bel Hadj Ali , Landolf Rhode-Barbarigos

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

We develop an analytical theory to explain the experimentally-observed morphological transitions of giant vesicles induced by AC electric fields (1). The model treats the inner and suspending media as lossy dielectrics, while the membrane…

Biological Physics · Physics 2015-05-13 Petia Vlahovska , Ruben Serral Gracia , Said Aranda , Rumiana Dimova

We describe the growth of vesicles, due to the accretion of lipid molecules to their surface, in terms of linear irreversible thermodynamics. Our treatment differs from those previously put forward by consistently including the energy of…

Statistical Mechanics · Physics 2009-11-13 Duccio Fanelli , Alan J. McKane

A key process during animal morphogenesis is oriented tissue deformation, which is often driven by internally generated active stresses. Yet, such active oriented materials are prone to well-known instabilities, raising the question of how…

Soft Condensed Matter · Physics 2025-11-20 Muhamet Ibrahimi , Matthias Merkel

Growing experimental evidence indicates that topological defects could serve as organizing centers in the morphogenesis of tissues. Here, we provide a quantitative explanation for this phenomenon, rooted in the buckling theory of deformable…

Soft Condensed Matter · Physics 2022-04-21 Ludwig A. Hoffmann , Livio Nicola Carenza , Julia Eckert , Luca Giomi

Interfaces in tissues are ubiquitous, both between tissue and environment as well as between populations of different cell types. The propagation of an interface can be driven mechanically. % e.g. by a difference in the respective…

Tissues and Organs · Quantitative Biology 2024-06-03 Tobias Büscher , Angel L. Diez , Gerhard Gompper , Jens Elgeti
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