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We present a general theoretical analysis of semiflexible filaments subject to viscous drag or point forcing. These are the relevant forces in dynamic experiments designed to measure biopolymer bending moduli. By analogy with the ``Stokes…

Soft Condensed Matter · Physics 2009-10-30 Chris H. Wiggins , Daniel X. Riveline , Albrecht Ott , Raymond E. Goldstein

Actin is a filamentary protein which has many remarkable properties making it an ideal system for the study of the dynamics and mechanics of semi-flexible polymer solutions and gels; actin has a persistence length of over 10 microns and can…

Soft Condensed Matter · Physics 2008-02-03 A. C. Maggs

We present a novel method to investigate the dynamics of a single semiflexible polymer, subject to anisotropic friction in a viscous fluid. In contrast to previous approaches, we do not rely on a discrete bead-rod model, but introduce a…

Biomolecules · Quantitative Biology 2009-11-13 Tobias Munk , Oskar Hallatschek , Chris H. Wiggins , Erwin Frey

While semi-flexible polymers and fibers are an important class of material due to their rich mechanical properties, it remains unclear how these properties relate to the microscopic conformation of the polymers. Actin filaments constitute…

A number of strange results have been reported for the twist elasticity of a semiflexible filament, actin. In particular dynamic and static methods for determining the torsional twist modulus give very different results. I show here that…

Soft Condensed Matter · Physics 2007-05-23 A. C. Maggs

We adapt Fluorescence Correlation spectroscopy (FCS) formalism to the studies of the dynamics of semi-flexible polymers and derive expressions relating FCS correlation function to the longitudinal and transverse mean square displacements of…

Soft Condensed Matter · Physics 2009-11-11 Anne Bernheim-Groswasser , Roman Shusterman , Oleg Krichevsky

We review the physical properties of macromolecular networks, consisting of semiflexible polymers such as actin. We start by giving a theoretical analysis of the conformational statistics and mechanical response of single filaments.…

Soft Condensed Matter · Physics 2008-02-03 Erwin Frey , Klaus Kroy , Jan Wilhelm , Erich Sackmann

Flexible filaments moving in viscous fluids are ubiquitous in the natural microscopic world. For example, the swimming of bacteria and spermatozoa as well as important physiological functions at organ-level, such as the cilia-induced motion…

Soft Condensed Matter · Physics 2019-06-05 Panayiota Katsamba , Eric Lauga

We present a statistical mechanical study of stiff polymers, motivated by experiments on actin filaments and the considerable current interest in polymer networks. We obtain simple, approximate analytical forms for the force-extension…

Soft Condensed Matter · Physics 2009-11-13 Abhijit Ghosh , Joseph Samuel , Supurna Sinha

Mechanochemical simulations of actomyosin networks are traditionally based on one-dimensional models of actin filaments having zero width. Here, and in the follow up paper, approaches are presented for more efficient modelling which…

Soft Condensed Matter · Physics 2022-04-05 Carlos Floyd , Haoran Ni , Ravinda S. Gunaratne , Radek Erban , Garegin A. Papoian

We describe simulations of a microscopic elastic filament immersed in a fluid and subject to a uniform external force. Our method accounts for the hydrodynamic coupling between the flow generated by the filament and the friction force it…

Soft Condensed Matter · Physics 2009-11-11 M. Cosentino Lagomarsino , I. Pagonabarraga , C. P. Lowe

We investigate the dynamics of a single semiflexible filament, under the action of a compressing force, using numerical simulations and scaling arguments. The force is applied along the end to end vector at one extremity of the filament,…

Soft Condensed Matter · Physics 2009-11-07 P. Ranjith , P. B. Sunil Kumar

Active deformable filaments exhibit a large range of qualitatively different three-dimensional dynamics, depending on their flexibility, the strength and nature of the active forcing, and the surrounding environment. We investigate the…

The fluid-structure interactions between flexible fibers and viscous flows play an essential role in various biological phenomena, medical problems, and industrial processes. Of particular interest is the case of particles freely…

Achieving control and tunability of lyotropic materials has been a long-standing goal of liquid crystal research. Here we show that the elasticity of a liquid crystal system consisting of a dense suspension of semiflexible biopolymers can…

Soft Condensed Matter · Physics 2018-01-12 Rui Zhang , Nitin Kumar , Jennifer Ross , Margaret L. Gardel , Juan J. de Pablo

We present a simple and generic theoretical description of actin-based motility, where polymerization of filaments maintains propulsion. The dynamics is driven by polymerization kinetics at the filaments' free ends, crosslinking of the…

Cell Behavior · Quantitative Biology 2015-05-13 Azam Gholami , Martin Falcke , Erwin Frey

Experiments have been performed using microscopic beads to probe the small scale mechanics of actin solutions. We show that that there are a number of regimes possible as a function of the size of the probing particle. In certain cases we…

Soft Condensed Matter · Physics 2009-10-30 A. C. Maggs

Polymerization of actin proteins into dynamic structures is essential to eukaryotic cell life. This has motivated a large body of in vitro experiments measuring polymerization kinetics of individual filaments. Here we model these kinetics,…

Biomolecules · Quantitative Biology 2009-11-10 Dimitrios Vavylonis , Qingbo Yang , Ben O'Shaughnessy

The force generated between actin and myosin acts predominantly along the direction of the actin filament, resulting in relative sliding of the thick and thin filaments in muscle or transport of myosin cargos along actin tracks. Previous…

Biomolecules · Quantitative Biology 2015-05-13 John F. Beausang , Harry W. Schroeder , Philip C. Nelson , Yale E. Goldman

We present a novel flow instability that can arise in thin films of cytoskeletal fluids if the friction with the substrate on which the film lies is sufficiently strong. We consider a two dimensional, membrane-bound fragment containing…

Soft Condensed Matter · Physics 2009-11-13 A. C. Callan-Jones , J. -F. Joanny , J. Prost
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