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Ion transport in biological tissues is crucial in the study of many biological and pathological problems. Some multi-cellular structures, like smooth muscles on the vessel walls, could be treated as periodic bi-domain structures, which…

Analysis of PDEs · Mathematics 2021-03-11 Chun Xiao , Xingye Yue , Huaxiong Huang , Shixin Xu

The mechanism of propulsion of host bacteria under the action of actin gel networks is examined by means of a continuum model of the dynamics of F-actin concentration. The model includes the elasticity of the network, its attachment to the…

Cell Behavior · Quantitative Biology 2007-05-23 V. G. Benza

Animal cells form contractile structures to promote various functions, from cell motility to cell division. Force generation in these structures is often due to molecular motors such as myosin that require polar substrates for their…

Biological Physics · Physics 2020-11-18 Sihan Chen , Tomer Markovich , F. C. MacKintosh

Amoeboid cell migration is characterized by frequent changes of the direction of motion and resembles a persistent random walk on long time scales. Although it is well known that cell migration is typically driven by the actin cytoskeleton,…

Biological Physics · Physics 2021-06-09 Nicolas Ecker , Karsten Kruse

We study theoretically the effects of confinement on active polar gels such as the actin network of eukaryotic cells. Using generalized hydrodynamics equations derived for active gels, we predict, in the case of quasi one-dimensional…

Subcellular Processes · Quantitative Biology 2015-06-26 R. Voituriez , J-F Joanny , J. Prost

The cell cytoskeleton is a striking example of "active" medium driven out-of-equilibrium by ATP hydrolysis. Such activity has been shown recently to have a spectacular impact on the mechanical and rheological properties of the cellular…

Statistical Mechanics · Physics 2015-05-13 C. Loverdo , O. Benichou , M. Moreau , R. Voituriez

Active matter systems evade the constraints of thermal equilibrium, leading to the emergence of intriguing collective behavior. A paradigmatic example is given by motor-filament mixtures, where the motion of motor proteins drives alignment…

Soft Condensed Matter · Physics 2024-09-11 Filippo De Luca , Ivan Maryshev , Erwin Frey

The cytoskeleton protein actin assembles into large bundles when supporting stresses in the cell, but grows into a fine branched network to induce cell motion. Such self-organization processes are studied in artificial networks of…

Soft Condensed Matter · Physics 2018-06-13 Adar Sonn-Segev , Anne Bernheim-Groswasser , Yael Roichman

We study theoretically the phase diagram of compressible active polar gels such as the actin network of eukaryotic cells. Using generalized hydrodynamics equations, we perform a linear stability analysis of the uniform states in the case of…

Soft Condensed Matter · Physics 2009-11-13 R. Voituriez , J. F. Joanny , J. Prost

Molecular-motor generated active stresses drive the cytoskeleton away from equilibrium, endowing it with tunable mechanical properties that are essential for diverse functions such as cell division and motility[1-5]. Designing analogous…

Molecular motor proteins serve as an essential component of intracellular transport by generating forces to haul cargoes along cytoskeletal filaments. Two species of motors that are directed oppositely (e.g. kinesin, dynein) can be attached…

Subcellular Processes · Quantitative Biology 2017-05-10 Christopher E. Miles , James P. Keener

Active diffusion of intracellular components is emerging as an important process in cell biology. This process is mediated by complex assemblies of molecular motors and cytoskeletal filaments that drive force generation in the cytoplasm and…

Motivated by rolling adhesion of white blood cells in the vasculature, we study how cells move in linear shear flow above a wall to which they can adhere via specific receptor-ligand bonds. Our computer simulations are based on a Langevin…

Cell Behavior · Quantitative Biology 2008-04-30 C. B. Korn , U. S. Schwarz

Cell crawling crucially depends on the collective dynamics of the acto-myosin cytoskeleton. However, it remains an open question to what extent cell polarization and persistent motion depend on continuous regulatory mechanisms and…

Biological Physics · Physics 2023-08-11 Fenna Stegemerten , Karin John , Uwe Thiele

Myosin V and myosin VI are two classes of two-headed molecular motors of the myosin superfamily that move processively along helical actin filaments in opposite directions. Here we present a hand-over-hand model for their processive…

Biomolecules · Quantitative Biology 2009-11-10 Ping Xie , Shuo-Xing Dou , Peng-Ye Wang

The migration behavior of colliding cells is critically determined by transient contact-interactions. During these interactions, the motility machinery, including the front-rear polarization of the cell, dynamically responds to surface…

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

While mechanobiology has demonstrated that precise control over mechanical properties at the whole-cell level is crucial for many biological functions, comparatively little attention has been paid to the intracellular mechanical properties.…

Subcellular Processes · Quantitative Biology 2025-01-27 Mohammad Amin Eskandari , Jannis Fischer , Noémie Veyret , Dorian Marx , Timo Betz

Transport of ions and small molecules across the cell membrane against electrochemical gradients is catalyzed by integral membrane proteins that use a source of free energy to drive the energetically uphill flux of the transported…

Biomolecules · Quantitative Biology 2022-03-25 Oliver Beckstein , Fiona Naughton

We present a simple model for the bidirectional dynamics of actin bundles with alternating polarities in gliding assays with non-processive myosin motors. In the model, the bundle is represented as an elastic chain consisting of monomers…

Soft Condensed Matter · Physics 2015-05-19 Barak Gur , Oded Farago