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Many cell functions are accomplished thanks to intracellular transport mechanisms of macromolecules along filaments. Molecular motors such as dynein or kinesin are proteins playing a primary role in these processes. The behavior of such…

Chaotic Dynamics · Physics 2010-12-21 Donatello Materassi , Subhrajit Roychowdhury , Murti V. Salapaka

Most computer simulations of molecular dynamics take place under equilibrium conditions--in a closed, isolated system, or perhaps one held at constant temperature or pressure. Sometimes, extra tensions, shears, or temperature gradients are…

Statistical Mechanics · Physics 2022-05-25 Alex Albaugh , Todd R. Gingrich

This work focuses on the robust optimization of a permanent magnet (PM) synchronous machine while considering a driving cycle. The robustification is obtained by considering uncertainties of different origins. Firstly, there are geometrical…

Computational Engineering, Finance, and Science · Computer Science 2020-02-19 L. A. M. D'Angelo , Z. Bontinck , S. Schöps , H. De Gersem

We propose a two-dimensional model for a complete description of the dynamics of molecular motors, including both the processive movement along track filaments and the dissociation from the filaments. The theoretical results on the…

Biomolecules · Quantitative Biology 2009-11-10 Ping Xie , Shuo-Xing Dou , Peng-Ye Wang

The dynamics of molecular motors which occasionally detach from a heterogeneous track like DNA or RNA is considered. Motivated by recent single molecule experiments, we study a simple model for a motor moving along a disordered track using…

Statistical Mechanics · Physics 2009-11-10 Yariv Kafri , David K. Lubensky , David R. Nelson

We model the dynamics of a processive or rotary molecular motor using a renewal processes, in line with the work initiated by Svoboda, Mitra and Block. We apply a functional technique to compute different types of multiple-time correlation…

Statistical Mechanics · Physics 2007-05-23 Jaime E. Santos , Thomas Franosch , Andrea Parmeggiani , Erwin Frey

Biomolecular motors use free energy to drive a variety of cellular tasks, including the transport of cargo, such as vesicles and organelles. We find that the widely-used `constant-force' approximation for the effect of cargo on motor…

Statistical Mechanics · Physics 2023-04-11 Aidan I Brown , David A Sivak

The miniaturization of gears towards the nanoscale is a formidable task posing a variety of challenges to current fabrication technologies. In context, the understanding, via computer simulations, of the mechanisms mediating the transfer of…

Mesoscale and Nanoscale Physics · Physics 2020-09-25 Huang-Hsiang Lin , Jonathan Heinze , Alexander Croy , Rafael Gutierrez , Gianaurelio Cuniberti

The investigation of optimal processes has a long history in the field of thermodynamics. It is well known that finite-time processes that minimize dissipation often exhibit discontinuities. We use a combination of numerical and analytical…

Statistical Mechanics · Physics 2022-05-31 Ilana Bogod , Saar Rahav

Molecular machines consist of either a single protein or a macromolecular complex composed of protein and RNA molecules. Just like their macroscopic counterparts, each of these nano-machines has an engine that "transduces" input energy into…

Biological Physics · Physics 2012-03-15 Debashish Chowdhury

Inside cells, various cargos are transported by teams of molecular motors. Intriguingly, the motors involved generally have opposite pulling directions, and the resulting cargo dynamics is a biased stochastic motion. It is an open question…

Biological Physics · Physics 2017-09-20 Sarah Klein , Cécile Appert-Rolland , Ludger Santen

Because of its nonequilibrium character, active matter in a steady state can drive engines that autonomously deliver work against a constant mechanical force or torque. As a generic model for such an engine, we consider systems that contain…

Statistical Mechanics · Physics 2019-11-15 Patrick Pietzonka , Étienne Fodor , Christoph Lohrmann , Michael E. Cates , Udo Seifert

Molecular machines composed of coupled subsystems transduce free energy between different external reservoirs, in the process internally transducing energy and information. While subsystem efficiencies of these molecular machines have been…

Statistical Mechanics · Physics 2023-05-23 Matthew P. Leighton , David A. Sivak

Quantifying energy flows at nanometer scales promises to guide future research in a variety of disciplines, from microscopic control and manipulation, to autonomously operating molecular machines. A general understanding of the…

Statistical Mechanics · Physics 2018-11-26 Steven J. Large , Raphaël Chetrite , David A. Sivak

The proton motive force (PMF) across the inner mitochondrial membrane delivers approximately 0.2 eV of energy per proton, powering the FoF1-ATP synthase molecular motor. Here, we provide a detailed accounting of how this energy is utilized:…

Biomolecules · Quantitative Biology 2025-07-16 Islam K. Matar , Peyman Fahimi , Cherif F. Matta

Cellular cargo can be bound to cytoskeletal filaments by one or multiple active or passive molecular motors. Recent experiments have shown that the presence of auxiliary, nondriving motors, results in an enhanced processivity of the cargo,…

Biomolecules · Quantitative Biology 2019-03-27 Filippo Posta , Maria R. D'Orsogna , Tom Chou

FoF1-ATP synthase is the enzyme that provides the 'chemical energy currency' adenosine triphosphate, ATP, for living cells. The formation of ATP is accomplished by a stepwise internal rotation of subunits within the enzyme. We monitor…

Biological Physics · Physics 2015-06-26 N. Zarrabi , M. G. Dueser , R. Reuter , S. D. Dunn , J. Wrachtrup , M. Boersch

We demonstrate asymmetric enzyme kinetics of a biomolecular motor F1-ATPase between synthesis and hydrolysis of adenosine triphosphate (ATP). Our experiments show that ATP hydrolysis follows Michaelis-Menten kinetics, but ATP synthesis,…

Biological Physics · Physics 2025-06-04 Yohei Nakayama , Shoichi Toyabe

Biological reaction networks often contain what might be called 'hub molecules', which are involved in many reactions. For example, ATP is commonly consumed and produced. When reaction networks contain molecules like ATP, they are difficult…

Quantitative Methods · Quantitative Biology 2013-10-09 Kurt Ehlert , Laurence Loewe

Cells are complex structures which require considerable amounts of organization via transport of large intracellular cargo. While passive diffusion is often sufficiently fast for the transport of smaller cargo, active transport is necessary…

Biomolecules · Quantitative Biology 2018-08-29 Robert Blackwell , David Jung , Mona Bukenberger , Ana-Sunčana Smith