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We consider a biopolymer bundle consisting of filaments that are crosslinked together. The crosslinks are reversible: they can dynamically bind and unbind adjacent filament pairs as controlled by a binding enthalpy. The bundle is subjected…

Soft Condensed Matter · Physics 2012-01-19 Richard L. C. Vink , Claus Heussinger

In various cellular processes, biofilaments like F-actin and F-tubulin are able to exploit chemical energy associated to polymerization to perform mechanical work against an external load. The force-velocity relationship quantitatively…

Statistical Mechanics · Physics 2018-04-04 Alessia Perilli , Carlo Pierleoni , Giovanni Ciccotti , Jean-Paul Ryckaert

The formation of bundles composed of actin filaments and cross-linking proteins is an essential process in the maintenance of the cells' cytoskeleton. It has also been recreated by in-vitro experiments, where actin networks are routinely…

Soft Condensed Matter · Physics 2009-11-13 Nir S. Gov

We propose a generic model to describe the mechanical response and failure of systems which undergo a series of stick-slip events when subjected to an external load. We model the system as a bundle of fibers, where single fibers can…

Disordered Systems and Neural Networks · Physics 2011-04-28 Zoltan Halasz , Ferenc Kun

Combining simulations and theory I study the interplay between bundle elastic degrees of freedom and crosslink binding propensity. By slowly driving bundles into a deformed configuration, and depending on the mechanical stiffness of the…

Soft Condensed Matter · Physics 2011-05-20 Claus Heussinger

We construct a coarse-grained model of parallel actin bundles crosslinked by compact, globular bundling proteins, such as fascin and espin, necessary components of filapodial and mechanosensory bundles. Consistent with structural…

Soft Condensed Matter · Physics 2013-05-29 Homin Shin , Gregory M. Grason

The actin cytoskeleton of adherent tissue cells often condenses into filament bundles contracted by myosin motors, so-called stress fibers, which play a crucial role in the mechanical interaction of cells with their environment. Stress…

Subcellular Processes · Quantitative Biology 2015-05-27 Achim Besser , Julien Colombelli , Ernst H. K. Stelzer , Ulrich S. Schwarz

The dynamic behavior of bundles of actin filaments growing against a loaded obstacle is investigated through a generalized version of the standard multi filaments Brownian Ratchet model in which the (de)polymerizing filaments are treated…

Biological Physics · Physics 2019-05-22 Alessia Perilli , Carlo Pierleoni , Jean-Paul Ryckaert

F-actin bundles constitute principal components of a multitude of cytoskeletal processes including stereocilia, filopodia, microvilli, neurosensory bristles, cytoskeletal stress fibers, and the sperm acrosome. The bending, buckling, and…

Biomolecules · Quantitative Biology 2007-05-23 Mark Bathe , Claus Heussinger , Mireille Claessens , Andreas Bausch , Erwin Frey

Bundles of filamentous polymers are primary structural components of a broad range of cytoskeletal structures, and their mechanical properties play key roles in cellular functions ranging from locomotion to mechanotransduction and…

Soft Condensed Matter · Physics 2010-02-23 Claus Heussinger , Felix Schueller , Erwin Frey

The fiber bundle model describes a collection of elastic fibers under load. the fibers fail successively and for each failure, the load distribution among the surviving fibers change. Even though very simple, the model captures the…

Statistical Mechanics · Physics 2015-05-13 Srutarshi Pradhan , Alex Hansen , Bikas K. Chakrabarti

We examine the mechanism of bundling of cytoskeletal actin filaments by two representative bundling proteins, fascin and espin. Small-angle X-ray studies show that increased binding from linkers drives a systematic \textit{overtwist} of…

Soft Condensed Matter · Physics 2015-05-14 Homin Shin , Kirstin R. Purdy Drew , James R. Bartles , Gerard C. L. Wong , Gregory M. Grason

We study the creep rupture of bundles of viscoelastic fibers occurring under uniaxial constant tensile loading. A novel fiber bundle model is introduced which combines the viscoelastic constitutive behaviour and the strain controlled…

Statistical Mechanics · Physics 2019-05-15 Raul Cruz Hidalgo , Ferenc Kun , Hans. J. Herrmann

Cross-linked polymer networks with orientational order constitute a wide class of soft materials and are relevant to biological systems (e.g., F-actin bundles). We analytically study the nonlinear force-extension relation of an array of…

Disordered Systems and Neural Networks · Physics 2015-06-05 Panayotis Benetatos , Stephan Ulrich , Annette Zippelius

Bundles of stiff filaments are ubiquitous in the living world, found both in the cytoskeleton and in the extracellular medium. These bundles are typically held together by smaller cross-linking molecules. We demonstrate analytically,…

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

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

The inert polymer polyethylene glycol (PEG) induces a "bundling" phenomenon in F-actin solutions when its concentration exceeds a critical onset value C_o. Over a limited range of PEG molecular weight and ionic strength, C_o can be…

Soft Condensed Matter · Physics 2009-11-10 M. Hosek , J. X. Tang

We study the failure properties of fiber bundles when continuous rupture goes on due to the application of external load on the bundles. We take the two extreme models: equal load sharing model (democratic fiber bundles) and local load…

Statistical Mechanics · Physics 2009-11-10 Srutarshi Pradhan , Bikas K. Chakrabarti

The response of amorphous materials to an applied strain can be continuous, or instead display a macroscopic stress drop when a shear band nucleates. Such discontinuous response can be observed if the initial configuration is very stable.…

Soft Condensed Matter · Physics 2018-10-17 Marko Popović , Tom W. J. de Geus , Matthieu Wyart
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