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Cells exhibit qualitatively different behaviors on substrates with different rigidities. The fact that cells are more polarized on the stiffer substrate motivates us to construct a two-dimensional cell with the distribution of focal…

Biological Physics · Physics 2017-07-26 Guangyuan Yu , Jingchen Feng , Haoran Man , Herbert Levine

Biological cells are able to adapt their behaviour in response to environmental cues. Durotaxis is a phenomenon in which cells adjust their migration depending on the mechanical properties of a surrounding substrate. Although durotaxis has…

Biological Physics · Physics 2026-05-11 Sohei Nakamura , Mitsusuke Tarama

Understanding mechanosensitivity, i.e. how cells sense the stiffness of their environment is very important, yet there is a fundamental difficulty in understanding its mechanism: to measure an elastic modulus one requires two points of…

Cell Behavior · Quantitative Biology 2015-06-17 Matteo Escude , Michelle K. Rigozzi , Eugene M. Terentjev

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 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

Motile biological cells in tissue often display the phenomenon of durotaxis, i.e. they tend to move towards stiffer parts of substrate tissue. The mechanism for this behavior is not completely understood. We consider simplified models for…

Biological Physics · Physics 2019-01-03 Charles R. Doering , Xiaoming Mao , Leonard M. Sander

Micropatterned substrates are often used to standardize cell experiments and to quantitatively study the relation between cell shape and function. Moreover, they are increasingly used in combination with traction force microscopy on soft…

Cell Behavior · Quantitative Biology 2015-06-19 Philipp J. Albert , Ulrich S. Schwarz

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 mechanosensitivity of cells, which determines how they are able to respond to mechanical signals received from their environment, is crucial for the functioning of all biological systems. In experiments, cells placed on cyclically…

Biological Physics · Physics 2019-01-17 John J. Molina , Ryoichi Yamamoto

The behaviour and fate of tissue cells is controlled by the rigidity and geometry of their adhesive environment, possibly through forces localized to sites of adhesion. We introduce a mechanical model that predicts cellular force…

Cell Behavior · Quantitative Biology 2009-07-24 Ilka B. Bischofs , Sebastian S. Schmidt , Ulrich S. Schwarz

Living tissues undergo wetting transitions: On a surface, they can either form a droplet-like cell aggregate or spread as a monolayer of migrating cells. Tissue wetting depends not only on the chemical but also on the mechanical properties…

Biological Physics · Physics 2020-05-14 Ricard Alert , Jaume Casademunt

Mechanical cues like the rigidity of the substrate are main determinants for the decision making of adherent cells. Here we use a mechano-chemical model to predict the cellular response to varying substrate stiffness. The model equations…

Cell Behavior · Quantitative Biology 2010-07-08 A. Besser , U. S. Schwarz

Coordinated and cooperative motion of cells is essential for embryonic development, tissue morphogenesis, wound healing and cancer invasion. A predictive understanding of the emergent mechanical behaviors in collective cell motion is…

Biological Physics · Physics 2022-10-04 Michael F. Staddon , Michael P. Murrell , Shiladitya Banerjee

When plated onto substrates, cell morphology and even stem cell differentiation are influenced by the stiffness of their environment. Stiffer substrates give strongly spread (eventually polarized) cells with strong focal adhesions, and…

Subcellular Processes · Quantitative Biology 2018-10-05 Samuel Bell , Anna-Lena Redmann , Eugene M. Terentjev

Epithelial cell clusters often move collectively on a substrate. Mechanical signals play a major role in organizing this behavior. There are a number of experimental observations in these systems which await a comprehensive explanation.…

Biological Physics · Physics 2021-01-22 Youyuan Deng , Herbert Levine , Xiaoming Mao , Leonard M. Sander

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

During neurodevelopment, neuronal axons navigate through the extracellular environment, guided by various cues to establish connections with distant target cells. Among other factors, axon trajectories are influenced by heterogeneities in…

Biological Physics · Physics 2025-09-09 Christoforos Kassianides , Alain Goriely , Hadrien Oliveri

A mathematical model is proposed for shape evolution and locomotion of fish epidermal keratocytes on elastic substrates. The model is based on mechanosensing concepts: cells apply contractile forces onto the elastic substrate, while cell…

Biological Physics · Physics 2021-02-19 Zhiwen Zhang , Phoebus Rosakis , Thomas Y. Hou , Guruswami Ravichandran

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

Cell migration in fibreous extracellular matrix (ECM) is crucial to many physiological and pathological processes such as tissue regeneration, immune response and cancer progression. During migration, individual cells can generate active…

Cell Behavior · Quantitative Biology 2019-10-16 Yu Zheng , Hanqing Nan , Qihui Fan , Xiaochen Wang , Liyu Liu , Ruchuan Liu , Fangfu Ye , Bo Sun , Yang Jiao
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