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During muscle contraction, myosin motors anchored to thick filaments bind to and slide actin thin filaments. These motors rely on energy derived from ATP, supplied, in part, by diffusion from the sarcoplasm to the interior of the lattice of…

Subcellular Processes · Quantitative Biology 2021-06-28 Julie A Cass , C. Dave Williams , Tom C Irving , Eric Lauga , Sage Malingen , Tom L. Daniel , Simon N. Sponberg

The cytoskeleton is an inhomogeneous network of semi-flexible filaments, which are involved in a wide variety of active biological processes. Although the cytoskeletal filaments can be very stiff and embedded in a dense and cross-linked…

Biological Physics · Physics 2019-05-24 Ines Weber , Cécile Appert-Rolland , Grégory Schehr , Ludger Santen

The nanoscopic structure and the stationary propagation velocity of (1+1)-dimensional solid-on-solid interfaces in an Ising lattice-gas model, which are driven far from equilibrium by an applied force, such as a magnetic field or a…

Statistical Mechanics · Physics 2007-07-24 G. M Buendia , P. A. Rikvold , M. Kolesik , K. Park , M. A. Novotny

Sarcomeres are the basic force generating units of striated muscles and consist of an interdigitating arrangement of actin and myosin filaments. While muscle contraction is usually triggered by neural signals, which eventually set myosin…

Adaptation and Self-Organizing Systems · Physics 2012-02-06 Stefan Gunther , Karsten Kruse

We develop off-lattice simulations of semiflexible polymer chains subjected to applied mechanical forces using Markov Chain Monte Carlo. Our approach models the polymer as a chain of fixed-length bonds, with configurations updated through…

Soft Condensed Matter · Physics 2024-11-26 Lijie Ding , Chi-Huan Tung , Bobby G. Sumpter , Wei-Ren Chen , Changwoo Do

Biological muscles have always attracted robotics researchers due to their efficient capabilities in compliance, force generation, and mechanical work. Many groups are working on the development of artificial muscles, however,…

Robotics · Computer Science 2021-03-18 Luiza Labazanova , Zeyu Wu , Zhengping Gu , David Navarro-Alarcon

We study size effects in the fracture strength of notched disordered samples using numerical simulations of lattice models for fracture. In particular, we consider the random fuse model, the random spring model and the random beam model,…

Materials Science · Physics 2008-04-15 Mikko J. Alava , Phani K. V. V. Nukala , Stefano Zapperi

We study spin-1/2 fermions in spin dependent potentials under the \emph{spin model approximation}, in which interatomic collisions that change the total occupation of single-particle modes are ignored. The spin model approximation maps the…

Quantum Gases · Physics 2020-09-02 Michael L. Wall

To study martensitic phase transformation we use a micromechanical model based on statistical mechanics. Employing lattice Monte-Carlo simulations and realistic material properties for shape-memory alloys (SMA), we investigate the combined…

We investigate theoretically how the stress propagation characteristics of granular materials evolve as they are subjected to increasing pressures, comparing the results of a two-dimensional scalar lattice model to those of a molecular…

Statistical Mechanics · Physics 2009-10-31 M. L. Nguyen , S. N. Coppersmith

A highly organized and densely packed lattice of molecular machinery within the sarcomeres of muscle cells powers contraction. Although many of the proteins that drive contraction have been studied extensively, the mechanical impact of…

Subcellular Processes · Quantitative Biology 2021-06-22 Sage A Malingen , Kaitlyn Hood , Eric Lauga , Anette Hosoi , Thomas L Daniel

The objective of this work is to relate muscle effort distributions to the trajectory and resistance settings of a robotic exercise and rehabilitation machine. Muscular effort distribution, representing the participation of each muscle in…

Robotics · Computer Science 2021-07-06 Humberto De las Casas , Santino Bianco , Hanz Richter

The aim of this paper is to compare results from lattice-Boltzmann and Brownian dynamics simulations of linear chain molecules. We have systematically varied the parameters that may affect the accuracy of the lattice-Boltzmann simulations,…

Computational Physics · Physics 2015-05-13 Anthony J. C. Ladd , Rahul Kekre , Jason E. Butler

Wall-based spanwise forcing has been experimentally used with success by Auteri et al. (Phys. Fluids vol. 22, 2010, 115103) to obtain large reductions of turbulent skin-friction drag and considerable energy savings in a pipe flow. The…

Fluid Dynamics · Physics 2024-01-23 Emanuele Gallorini , Maurizio Quadrio

We show how to compute the exact partition function for lattice statistical-mechanical models whose Boltzmann weights obey a special "crossing" symmetry. The crossing symmetry equates partition functions on different trivalent graphs,…

Statistical Mechanics · Physics 2015-06-12 Steven H. Simon , Paul Fendley

The mitotic spindle lies at the heart of the spatio-temporal control over cellular components during cell division. The spindle consists of microtubules, which are not only crosslinked by motor proteins but also by passive binding proteins.…

Biological Physics · Physics 2020-08-19 Harmen Wierenga , Pieter Rein ten Wolde

We propose four novel mathematical models, describing the microscopic mechanisms of force generation in the cardiac muscle tissue, which are suitable for multiscale numerical simulations of cardiac electromechanics. Such models are based on…

Subcellular Processes · Quantitative Biology 2021-01-27 Francesco Regazzoni , Luca Dedè , Alfio Quarteroni

Time-dependent density functional theory, proposed recently in the context of atomic diffusion and non-equilibrium processes in solids, is tested against Monte Carlo simulation. In order to assess the basic approximation of that theory, the…

Statistical Mechanics · Physics 2009-11-07 M. Kessler , W. Dieterich , H. L. Frisch , J. F. Gouyet , P. Maass

The purpose of this study was to report numerical validation of a 3D finite element model of contracting muscle. The model was based on continuum theory for fibre-reinforced composite materials. Here we simulated contractions for an…

Quantitative Methods · Quantitative Biology 2015-04-03 Hadi Rahemi , Nilima Nigam , James M. Wakeling

Muscles of the human body are composed of tiny actuators made up of myosin and actin filaments. They can exert force in various shapes such as curved or flat, under contact forces and deformations from the environment. On the other hand,…

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