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Myosin II molecular motors slide actin filaments relatively to each other and are essential for force generation, motility and mechanosensing in animal cells. For non-muscle cells, evolution has resulted in three different isoforms, which…

Cell Behavior · Quantitative Biology 2025-08-28 Nils O. Winkler , Oliver M. Drozdowski , Falko Ziebert , Ulrich S. Schwarz

A two-dimensional mathematical model for cells migrating without adhesion capabilities is presented and analyzed. Cells are represented by their cortex, which is modelled as an elastic curve, subject to an internal pressure force. Net…

Analysis of PDEs · Mathematics 2020-12-14 Gaspard Jankowiak , Diane Peurichard , Anne Reversat , Christian Schmeiser , Michael Sixt

Many fundamental biological processes are dependent on cellular migration. Although the mechanical mechanisms of single-cell migration are relatively well understood, those underlying migration of multiple cells adhered to each other in a…

Biological Physics · Physics 2023-07-25 Katsuhiko Sato

Cells sense the geometry and stiffness of their adhesive environment by active contractility. For strong adhesion to flat substrates, two-dimensional contractile network models can be used to understand how force is distributed throughout…

Cell Behavior · Quantitative Biology 2015-06-03 P. Guthardt Torres , I. B. Bischofs , U. S. Schwarz

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

Cellular form and function emerge from complex mechanochemical systems within the cytoplasm. No systematic strategy currently exists to infer large-scale physical properties of a cell from its many molecular components. This is a…

Cells are known to exert forces to sense their physical surroundings for guidance of motion and fate decisions. Here, we propose that cells might do mechanical work to drive their own evolution, taking inspiration from the adaptive immune…

Cell Behavior · Quantitative Biology 2023-03-29 Hongda Jiang , Shenshen Wang

Contractility in animal cells is often generated by molecular motors such as myosin, which require polar substrates for their function. Motivated by recent experimental evidence of motor-independent contractility, we propose a robust…

Soft Condensed Matter · Physics 2022-05-04 Sihan Chen , Tomer Markovich , Fred C. MacKintosh

The maximum force that a crawling cell can exert on a substrate is a quantity of interest in cell biomechanics. One way of quantifying this force is to allow the cell to crawl against a measurable and adjustable restraining force until the…

Cell Behavior · Quantitative Biology 2012-03-12 Sandip Ghosal , Yoshio Fukui

The origin of biological motion can be traced back to the function of molecular motor proteins. Cytoplasmic dynein and kinesin transport organelles within our cells moving along a polymeric filament, the microtubule. The motion of the…

Statistical Mechanics · Physics 2015-06-25 Imre Derenyi , Tamas Vicsek

Cell--cell and cell-matrix adhesions play essential roles in the function of tissues. There is growing evidence for the importance of crosstalk between these two adhesion types, yet little is known about the impact of these interactions on…

We use numerical simulations and linear stability analysis to study an active nematic layer where the director is allowed to point out of the plane. Our results highlight the difference between extensile and contractile systems. Contractile…

Soft Condensed Matter · Physics 2024-04-23 Mehrana R. Nejad , Julia M. Yeomans

Cell motility is fundamental to many biological processes, and cells exhibit a variety of migration patterns. Many motile cell types follow a universal law that connects their speed and persistency, a property that can originate from the…

Active processes drive and guide biological dynamics across scales -- from subcellular cytoskeletal remodelling, through tissue development in embryogenesis, to population-level bacterial colonies expansion. In each of these, biological…

The ability of eukaryotic cells to squeeze through constrictions is limited by the stiffness of their large and rigid nucleus. However, migrating cells are often able to overcome this limitation and pass through constrictions much smaller…

Biological Physics · Physics 2023-12-20 Sirine Amiri , Yirui Zhang , Andonis Gerardos , Cécile Sykes , Pierre Ronceray

Essentially all biology is active and dynamic. Biological entities autonomously sense, com- pute, and respond using energy-coupled ratchets that can produce force and do work. The cytoskeleton, along with its associated proteins and motors,…

Soft Condensed Matter · Physics 2017-03-28 Kasimira T. Stanhope , Vikrant Yadav , Christian D. Santangelo , Jennifer L. Ross

While it is commonly observed that the shape dynamics of mammalian cells can undergo large random fluctuations, theoretical models aiming at capturing cell mechanics often focus on the deterministic part of the motion. In this paper, we…

Biological Physics · Physics 2021-04-07 Vikram Deshpande , Antonio DeSimone , Robert McMeeking , Pierre Recho

Recent biological experiments have shown that certain types of cells are able to move in structured and confined environment even without the activation of focal adhesion. Focusing on this particular phenomenon and based on previous works,…

Analysis of PDEs · Mathematics 2022-12-05 Chiara Giverso , Gaspard Jankowiak , Luigi Preziosi , Christian Schmeiser

We propose a simple mathematical model to describe the mechanical relaxation of cells within a curved epithelial tissue layer represented by an arbitrary curve in two-dimensional space. This model generalises previous one-dimensional models…

Cellular Automata and Lattice Gases · Physics 2025-01-09 Pascal R. Buenzli , Shahak Kuba , Ryan J. Murphy , Matthew J. Simpson

The mechanics of cells is strongly affected by molecular motors that generate forces in the cellular cytoskeleton. We develop a model for cytoskeletal networks driven out of equilibrium by molecular motors exerting transient contractile…

Soft Condensed Matter · Physics 2009-11-13 Fred C. MacKintosh , Alex J. Levine
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