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Quantitative understanding of the best possible performance of nanomotors allowed by physical laws pertains to study of nanomotors from biology as well as nanotechnology. Biological nanomotor F1-ATPase is the best available model system as…

Biological Physics · Physics 2015-06-16 Ruizheng Hou , Zhisong Wang

In a single molecule assay, the motion of a molecular motor is often inferred from measuring the stochastic trajectory of a large probe particle attached to it. We discuss a simple model for this generic set-up taking into account…

Statistical Mechanics · Physics 2012-11-22 Eva Zimmermann , Udo Seifert

A discrete-state model of the F1-ATPase molecular motor is developed which describes not only the dependences of the rotation and ATP consumption rates on the chemical concentrations of ATP, ADP, and inorganic phosphate, but also on…

Subcellular Processes · Quantitative Biology 2009-04-28 E. Gerritsma , P. Gaspard

Optogenetic modulation of adenosine triphosphatase (ATPase) expression represents a novel approach to maximize bioprocess efficiency by leveraging enforced adenosine triphosphate (ATP) turnover. In this study, we experimentally implement a…

Molecular motors fulfill critical functions within all living beings. Understanding their underlying working principles is therefore of great interest. Here we develop a simple model inspired by the two-component biomolecular motor Fo-F1…

Statistical Mechanics · Physics 2024-12-30 Mathis Grelier , David A. Sivak , Jannik Ehrich

FoF1-ATP synthase catalyzes the synthesis of adenosine triphosphate (ATP). The F1 portion can be stripped from the membrane-embedded Fo portion of the enzyme. F1 acts as an ATP hydrolyzing enzyme, and ATP hydrolysis is associated with…

Biomolecules · Quantitative Biology 2018-02-14 Hendrik Sielaff , Thomas Heitkamp , Andrea Zappe , Nawid Zarrabi , Michael Boersch

FoF1-ATP synthases are ubiquitous membrane-bound, rotary motor enzymes that can catalyze ATP synthesis and hydrolysis. Their enzyme kinetics are controlled by internal subunit rotation, by substrate and product concentrations, by mechanical…

Biomolecules · Quantitative Biology 2021-06-29 Thomas Heitkamp , Michael Börsch

Molecular machines are stochastic systems that catalyze the energetic processes keeping living cells alive and structured. Inspired by the examples of F1-ATP synthase and the bacterial flagellum, we present a minimal model of an externally…

Statistical Mechanics · Physics 2020-03-18 Alexandra K. S. Kasper , David A. Sivak

FoF1-ATP synthase is the membrane protein catalyzing the synthesis of the 'biological energy currency' adenosine triphosphate (ATP). The enzyme uses internal subunit rotation for the mechanochemical conversion of a proton motive force to…

Biomolecules · Quantitative Biology 2015-06-15 Thomas Heitkamp , Hendrik Sielaff , Anja Korn , Marc Renz , Nawid Zarrabi , Michael Boersch

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

The active power filter (APF) is attracting more and more attention for its outstanding performance in current and voltage ripple compensation. As modern high-energy accelerators are demanding much more stringent current ripple guideline,…

Accelerator Physics · Physics 2015-04-06 Guo Xiaoling , Cheng Jian , Zhang Bo , Zhang Jing

Study on a rectified current induced by active particles has received a great attention due to its possible application to a microscopic motor in biological environments. Insertion of an {\em asymmetric} passive object amid many active…

Soft Condensed Matter · Physics 2021-11-19 Jae Sung Lee , Jong-Min Park , Jae Dong Noh , Hyunggyu Park

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

Linear bio-molecular motors move unidirectionally along a track by coordinating several different processes, such as fuel (ATP) capture, hydrolysis, conformational changes, binding and unbinding from a track, and center-of-mass diffusion. A…

Statistical Mechanics · Physics 2015-05-18 Nathan J. Kuwada , Gerhard A. Blab , Heiner Linke

Kinetic proofreading is an error correction mechanism present in the processes of the central dogma and beyond, and typically requires the free energy of nucleotide hydrolysis for its operation. Though the molecular players of many…

Molecular Networks · Quantitative Biology 2020-05-28 Vahe Galstyan , Rob Phillips

We propose a generalization of the stochastic resetting mechanism for a Brownian particle diffusing in a one-dimensional periodic potential: randomly in time, the particle gets reset at the bottom of the potential well it was in. Numerical…

Statistical Mechanics · Physics 2025-08-18 Pulak K. Ghosh , Shubhadip Nayak , Jianli Liu , Yunyun Li , Fabio Marchesoni

Catalysis-driven synthetic molecular motors operate in a loose mechanochemical coupling regime, one in which a decomposition of a fuel molecule does not reliably produce a forward step. In that regime, stochastic backward steps can…

Statistical Mechanics · Physics 2026-01-16 Geyao Gu , Drew Alvarez , John Strahan , Alex Albaugh , Emanuele Penocchio , Todd R. Gingrich

We analyze the dynamics of rotary biomotors within a simple nano-electromechanical model, consisting of a stator part and a ring-shaped rotor having twelve proton-binding sites. This model is closely related to the membrane-embedded F$_0$…

Other Condensed Matter · Physics 2009-11-13 A. Yu. Smirnov , S. Savel'ev , L. G. Mourokh , Franco Nori

A minimal model for coherent transport through a donor/acceptor molecular junction is presented. The two donor and acceptor sites are described by single levels energetically separated by an intramolecular tunnel barrier. In the limit of…

Disordered Systems and Neural Networks · Physics 2009-11-11 Florian Pump , Gianaurelio Cuniberti

Adenosine triphosphate (ATP) is the universal chemical energy currency for cellular activities provided mainly by the membrane enzyme FoF1-ATP synthase in bacteria, chloroplasts and mitochondria. Synthesis of ATP is accompanied by subunit…

Biomolecules · Quantitative Biology 2016-08-03 Thomas Heitkamp , Gabriele Deckers-Hebestreit , Michael Börsch