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Living matter moves, deforms, and organizes itself. In cells this is made possible by networks of polymer filaments and crosslinking molecules that connect filaments to each other and that act as motors to do mechanical work on the network.…

Soft Condensed Matter · Physics 2020-12-15 Sebastian Fürthauer , Daniel J Needleman , Michael J. Shelley

The fracture and severing of polymer chains plays a critical role in the failure of fibrous materials and the regulated turnover of intracellular filaments. Using continuum wormlike chain models, we investigate the fracture of semiflexible…

Statistical Mechanics · Physics 2020-03-05 Alexander Lorenzo , Enrique M. De La Cruz , Elena F. Koslover

We theoretically investigate the membrane fluctuations of red blood cells with focus laid on the role of the cytoskeleton, viewing the system as a membrane coupled to sparse spring network. This model is exactly solvable and enables us to…

Soft Condensed Matter · Physics 2015-08-31 Wonjune Choi , Juyeon Yi , Yong Woon Kim

Active dynamic processes of cells are largely driven by the cytoskeleton, a complex and adaptable semiflexible polymer network, motorized by mechanoenzymes. Small dimensions, confined geome- tries and hierarchical structures make it…

Biological Physics · Physics 2017-08-23 Jannes Gladrow , Chase P. Broedersz , Christoph F. Schmidt

The cytoskeleton provides eukaryotic cells with mechanical support and helps them perform their biological functions. It is a network of semiflexible polar protein filaments and many accessory proteins that bind to these filaments, regulate…

Cell Behavior · Quantitative Biology 2008-01-01 Tanniemola B. Liverpool , M. Cristina Marchetti

We analyze the stretching elasticity of a wormlike chain with a tension discontinuity resulting from a Hookean spring connecting its backbone to a fixed point. The elasticity of isolated semiflexible filaments has been the subject in a…

Biological Physics · Physics 2016-05-25 Mohammadhosein Razbin , Panayotis Benetatos , Annette Zippelius

Semiflexible slender filaments are ubiquitous in nature and cell biology, including in the cytoskeleton, where reorganization of actin filaments allows the cell to move and divide. Most methods for simulating semiflexible inextensible…

Numerical Analysis · Mathematics 2023-05-03 Ondrej Maxian , Brennan Sprinkle , Aleksandar Donev

Crosslinked semi-flexible and flexible filaments that are actively deformed by molecular motors occur in various natural settings, such as the ordered eukaryotic flagellum, and the disordered cytoskeleton. The deformation of these composite…

Biological Physics · Physics 2018-10-02 Arvind Gopinath , Raghunath Chelakkot , L. Mahadevan

We analyze both the static and dynamic fluctuation spectrum of the red-blood cell in a unified manner, using a simple model of the composite membrane. In this model, the two-dimensional spectrin network that forms the cytoskeleton is…

Soft Condensed Matter · Physics 2007-05-23 N. Gov , A. G. Zilman , S. Safran

Motor proteins drive persistent motion and self-organisation of cytoskeletal filaments. However, state-of-the-art microscopy techniques and continuum modelling approaches focus on large length and time scales. Here, we perform…

Soft Condensed Matter · Physics 2024-06-03 Gerrit Vliegenthart , Arvind Ravichandran , Marisol Ripoll , Thorsten Auth , Gerhard Gompper

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

We study the dynamics of a single semiflexible filament coupled to a Hookean spring at its boundary. The spring produces a fluctuating tensile force on the filament, whose value depends on the filament's instantaneous end-to-end length. The…

Soft Condensed Matter · Physics 2020-12-30 Jonathan Kernes , Alex J. Levine

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

We introduce a mathematical model for the mechanical behaviour of the eukaryotic cell cytoskeleton. This discrete model involves a regular array of pre-stressed protein filaments that exhibit resistance to enthalpic stretching, joined at…

Quantitative Methods · Quantitative Biology 2023-09-06 J. Köry , N. A. Hill , X. Y. Luo , P. S. Stewart

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

Dynamically crosslinked semiflexible biopolymers such as the actin cytoskeleton govern the mechanical behavior of living cells. Semiflexible biopolymers nonlinearly stiffen in response to mechanical loads, whereas the crosslinker dynamics…

Soft Condensed Matter · Physics 2019-06-05 Yuval Mulla , F. C. MacKintosh , Gijsje H. Koenderink

Active polymers play a central role in many biological systems, from bacterial flagella to cellular cytoskeletons. Minimal models of semiflexible active filaments have been used to study a variety of interesting phenomena in active systems,…

Soft Condensed Matter · Physics 2020-02-19 Matthew S. E. Peterson , Michael F. Hagan , Aparna Baskaran

We study the mechanical stiffening behavior in two-dimensional (2D) cross-linked networks of semiflexible biopolymer filaments under simple shear. Filamental constituents immersed in a fluid undergo thermally excited bending motions.…

Biological Physics · Physics 2007-05-23 T. Van Dillen , P. R. Onck , E. Van der Giessen

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 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