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Two simple (rotator and one-particle) mechanistic models are suggested to describe simultaneously at a minimal level of sophistication two basic functions of F$_1$-ATPase: a motor regime driven by ATP hydrolysis and its inverted function as…

Biological Physics · Physics 2007-05-23 A. V. Zolotaryuk , V. N. Ermakov , P. L. Christiansen , B. Norden , Y. Zolotaryuk

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

F$_1$-ATPase (F$_1$) is central to cellular energy transduction. Forcibly rotated by another motor F$_\mathrm{o}$, F$_1$ catalyzes ATP synthesis by converting mechanical work into chemical free energy stored in the molecule ATP. The details…

Brownian particles interacting sequentially with distinct temperatures and driving forces at each stroke have been tackled as a reliable alternative for the construction of engine setups. However they can behave very inefficiently depending…

Statistical Mechanics · Physics 2022-12-28 Iago N. Mamede , Angel L. L. Stable , C. E. Fiore

Microscopic biological systems operate far from equilibrium, are subject to strong fluctuations, and are composed of many coupled components with interactions varying in nature and strength. Researchers are actively investigating the…

Statistical Mechanics · Physics 2023-12-25 Emma Lathouwers , David A. Sivak

We study microscopic engines that use a single active particle as their "working medium". Part of the energy required to drive the directed motion of the particle can be recovered as work, even at constant temperature. A wide class of…

Soft Condensed Matter · Physics 2022-01-20 Thomas Speck

Biological functions in each animal cell depend on coordinated operations of a wide variety of molecular motors. Some of the these motors transport cargo to their respective destinations whereas some others are mobile workshops which…

Biological Physics · Physics 2008-03-07 Debashish Chowdhury

Simulations can help unravel the complicated ways in which molecular structure determines function. Here, we use molecular simulations to show how slight alterations of a molecular motor's structure can cause the motor's typical dynamical…

Statistical Mechanics · Physics 2023-08-21 Alex Albaugh , Geyao Gu , Todd R. Gingrich

Molecular machines described in this paper are meant to be such molecular systems that make use of conformational mobility (i.e. hindered rotation around chemical bonds and molecular construction deformations with formation and breakage of…

Chemical Physics · Physics 2007-05-23 Ye. V. Tourleigh , K. V. Shaitan

F$_\mathrm{o}$F$_1$-ATP synthase is a factory for synthesizing ATP in virtually all cells. Its core machinery is the subcomplex F$_1$-motor (F$_1$-ATPase) and performs the reversible mechanochemical coupling. Isolated F$_1$-motor hydrolyzes…

Biological Physics · Physics 2015-01-19 Shoichi Toyabe , Eiro Muneyuki

Many biological functions are executed by molecular machines, which consume energy and convert it into mechanical work. Biological machines have evolved to transport cargo, facilitate folding of proteins and RNA, remodel chromatin and…

Biological Physics · Physics 2020-04-15 Mauro L. Mugnai , Changbong Hyeon , Michael Hinczewski , D. Thirumalai

The transportation of the cargoes in biological cells is primarily driven by the motor proteins on filamentous protein tracks. The stochastic nature of the motion of motor protein often leads to its spontaneous detachment from the track.…

Subcellular Processes · Quantitative Biology 2018-11-29 Mohd Suhail Rizvi

We investigate a model of a stochastic engine operating cyclically at constant bath temperature, which consists of an overdamped Brownian harmonic oscillator that plays the role of working substance and is elastically coupled to an active…

Statistical Mechanics · Physics 2025-09-16 Erick Efrain Cote-Valencia , Juan Ruben Gomez-Solano

We propose a simple theoretical model for a molecular chemical engine that catalyzes a chemical reaction and converts the free energy released by the reaction into mechanical work. Binding and unbinding processes of reactant and product…

Statistical Mechanics · Physics 2018-05-22 Kazuo Sasaki

Brownian rotors play an important role in biological systems and in future nano-technological applications. However the mechanisms determining their dynamics, efficiency and performance remain to be characterized. Here the F0 portion of the…

Biological Physics · Physics 2009-11-13 Wolfgang R. Bauer , Walter Nadler

Designing a miniature microscale engine that can override the role of thermal fluctuations has remained elusive and is an important open challenge. Here we provide the design and theoretical framework for a unique information-based engine -…

Biological Physics · Physics 2025-12-04 Suraj Deshmukh , Sougata Guha , Basudha Roy , Shivprasad Patil , Arnab Saha , Sudipto Muhuri

In living cells, molecular motors convert chemical energy into mechanical work. Its thermodynamic energy efficiency, i.e. the ratio of output mechanical work to input chemical energy, is usually high. However, using two-state models, we…

Biological Physics · Physics 2015-03-06 Yunxin Zhang

Biomolecular machines transduce between different forms of energy. These machines make directed progress and increase their speed by consuming free energy, typically in the form of nonequilibrium chemical concentrations. Machine dynamics…

Statistical Mechanics · Physics 2018-10-05 Aidan I Brown , David A Sivak

We investigate the dynamics of an active gel of bundled microtubules that is driven by clusters of kinesin molecular motors. Upon the addition of ATP, the coordinated action of thousands of molecular motors drives the gel to a highly…

Soft Condensed Matter · Physics 2015-06-23 Gil Henkin , Stephen J. DeCamp , Daniel TN Chen , Tim Sanchez , Zvonimir Dogic

Biomolecular machines are protein complexes that convert between different forms of free energy. They are utilized in nature to accomplish many cellular tasks. As isothermal nonequilibrium stochastic objects at low Reynolds number, they…

Statistical Mechanics · Physics 2020-01-22 Aidan I Brown , David A Sivak