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We discuss the force-velocity relations obtained in a two-state crossbridge model for molecular motors. They can be calculated analytically in two limiting cases: for a large number and for one pair of motors. The effect of the…

Soft Condensed Matter · Physics 2008-02-03 Andrej Vilfan , Erwin Frey , Franz Schwabl

Despite the great success of the Huxley sliding filament model proposed half a century ago for actin-myosin linkages (cross-bridges), it fails to explain the force-velocity behavior of stretching skeletal muscles. Huxley's two-state kinetic…

Biological Physics · Physics 2009-09-04 Valery B. Kokshenev

Muscle contraction is a prototypical multiscale chemomechanical process in which ATP hydrolysis at the molecular level drives force generation and mechanical work at larger scales. A long-standing challenge is to connect microscopic…

Soft Condensed Matter · Physics 2026-02-03 Yiwei Wang , Chun Liu

The complex behavior of drop deposition on a hydrophobic surface is considered by looking at a model problem in which the evolution of a constant-volume liquid bridge is studied as the bridge is stretched. The bridge is pinned with a fixed…

Soft Condensed Matter · Physics 2017-04-26 Bian Qian , Kenneth S. Breuer

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

This study introduces a simplified model for bridge-vehicle interaction for medium- to long-span bridges subject to random traffic loads. Previous studies have focused on calculating the exact response of the vehicle or the bridge based on…

Signal Processing · Electrical Eng. & Systems 2020-07-03 Soheil Sadeghi Eshkevari , Thomas J. Matarazzo , Shamim N. Pakzad

This work is focused on the doubly nonlinear equation, whose solutions represent the bending motion of an extensible, elastic bridge suspended by continuously distributed cables which are flexible and elastic with stiffness k^2. When the…

Mathematical Physics · Physics 2011-02-07 Ivana Bochicchio , Claudio Giorgi , Elena Vuk

A partially hinged, partially free rectangular plate is considered, with the aim to address the possible unstable end behaviors of a suspension bridge subject to wind. This leads to a nonlinear plate evolution equation with a nonlocal…

Analysis of PDEs · Mathematics 2020-07-06 Denis Bonheure , Filippo Gazzola , Irena Lasiecka , Justin T. Webster

We consider a dynamic system of nonlinear partial differential equations modeling the motions of a suspension bridge. This fish-bone model captures the flexural displacements of the bridge deck's mid-line, and each chordal filament's…

Analysis of PDEs · Mathematics 2024-07-12 Alessio Falocchi , Justin T. Webster

Inspired by the Melan equation we propose a model for suspension bridges with two cables linked to a deck, through inextensible hangers. We write the energy of the system and we derive from variational principles two nonlinear and nonlocal…

Dynamical Systems · Mathematics 2018-07-20 Alessio Falocchi

Inspired by experiments on dynamic extensile gels of biofilaments and motors, we propose a model of a network of linear springs with a kinetics consisting of growth at a prescribed rate, death after a lifetime drawn from a distribution, and…

Soft Condensed Matter · Physics 2019-01-25 Daniel Goldstein , Sriram Ramaswamy , Bulbul Chakraborty

Model-based reinforcement learning is attractive for sequential decision-making because it explicitly estimates reward and transition models and then supports planning through simulated rollouts. In offline settings with hidden confounding,…

Machine Learning · Computer Science 2026-04-08 Nishanth Venkatesh , Andreas A. Malikopoulos

We analyze a simple problem in elasticity: the \emph{initial} motion of an elastic bar that after being hanged from an end is suddenly released. In a second problem a point mass is attached on the top of the bar. The analytical solutions…

Physics Education · Physics 2007-06-14 J. M. Aguirregabiria , A. Hernández , M. Rivas

In this paper we report, clarify and broaden various recent efforts to complement the chemistry-centered models of force generation in muscles by mechanics-centered models. The physical mechanisms of interest can be grouped into two…

Biological Physics · Physics 2018-06-26 Matthieu Caruel , Lev Truskinovsky

Mechanically induced unfolding of passive crosslinkers is a fundamental biological phenomenon encountered across the scales from individual macro-molecules to cytoskeletal actin networks. In this paper we study a conceptual model of…

Biological Physics · Physics 2015-01-08 M Caruel , J. -M Allain , L Truskinovsky

Using a combination of theory, experiment, and simulation, we revisit the dynamics of two coupled metronomes on a moving platform. Our experiments show that the platform's motion is damped by a dry friction force of Coulomb type, not the…

Adaptation and Self-Organizing Systems · Physics 2022-04-27 Guillermo H. Goldsztein , Lars Q. English , Emma Behta , Hillel Finder , Alice N. Nadeau , Steven H. Strogatz

In the present work we theoretically study the length dependence of thermopower of a single-molecule junction with a chain-like molecular bridge of an arbitrary length using a tight-binding model. We analyze conditions bringing a nonlinear…

Mesoscale and Nanoscale Physics · Physics 2017-03-20 Natalya A. Zimbovskaya

We study the relation between a threshold-force based model at the microscopic scale and mode I fracture at the macroscopic scale in a system of discrete interacting springs. Specifically, we idealize the contact between two surfaces as…

Soft Condensed Matter · Physics 2016-06-13 Srivatsan Hulikal , Kaushik Bhattacharya , Nadia Lapusta

Wet granular materials in a quasi-static steady state shear flow have been studied with discrete particle simulations. Macroscopic quantities, consistent with the conservation laws of continuum theory, are obtained by time averaging and…

Soft Condensed Matter · Physics 2015-06-23 Sudeshna Roy , Abhinendra Singh , Stefan Luding , Thomas Weinhart

We apply the concept of distance covariance for testing independence of two long-range dependent time series. As test statistic we propose a linear combination of empirical distance cross-covariances. We derive the asymptotic distribution…

Statistics Theory · Mathematics 2026-01-28 Annika Betken , Herold Dehling
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