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Analytical formulas for effective drift, diffusivity, run times, and run lengths are derived for an intracellular transport system consisting of a cargo attached to two cooperative but not identical molecular motors (for example, kinesin-1…

Subcellular Processes · Quantitative Biology 2021-01-22 Joseph J. Klobusicky , John Fricks , Peter R. Kramer

Fueled by the hydrolysis of ATP, the motor protein kinesin literally walks on two legs along the biopolymer microtubule. The number of accidental backsteps that kinesin takes appears to be much larger than what one would expect given the…

Subcellular Processes · Quantitative Biology 2009-11-13 M. Bier , F. J. Cao

Living systems efficiently use chemical fuel to do work, process information, and assemble patterns despite thermal noise. Whether high efficiency arises from general principles or specific fine-tuning is unknown. Here, applying a recent…

Biological Physics · Physics 2022-10-11 Milo M Lin

The thermodynamic uncertainty relation provides an inequality relating any mean current, the associated dispersion and the entropy production rate for arbitrary non-equilibrium steady states. Applying it here to a general model of a…

Statistical Mechanics · Physics 2017-01-05 Patrick Pietzonka , Andre C. Barato , Udo Seifert

We study a model of synthetic molecular motor - a [3]-catenane consisting of two small macrocycles mechanically interlocked with a bigger one - subjected to a time-dependent driving using stochastic thermodynamics. The model presents…

Statistical Mechanics · Physics 2023-06-28 Massimo Bilancioni , Massimiliano Esposito , Emanuele Penocchio

Routinely navigating through an ever-changing and unsteady environment, and utilizing chemical energy, molecular motors transport the cell's crucial components, such as neurotransmitters and organelles. They generate force and pull cargo,…

Biological Physics · Physics 2012-09-28 Bartosz Lisowski , Michał Żabicki

In the paradigm of thermodynamic computing, instead of behaving deterministically, hardware undergoes a stochastic process in order to sample from a distribution of interest. While it has been hypothesized that thermodynamic computers may…

A simple model of the two-state ratchet type is proposed for molecular chemical engines that convert chemical free energy into mechanical work and vice versa. The engine works by catalyzing a chemical reaction and turning a rotor.…

Statistical Mechanics · Physics 2018-05-22 Kazuo Sasaki , Ryo Kanada , Satoshi Amari

Within systems biology there is an increasing interest in the stochastic behavior of genetic and biochemical reaction networks. An appropriate stochastic description is provided by the chemical master equation, which represents a continuous…

Biological Physics · Physics 2011-06-23 E. Giampieri , D. Remondini , L. de Oliveira , G. Castellani , P. Lió

While $\mathcal{H}_\infty$ methods can introduce robustness against worst-case perturbations, their nominal performance under conventional stochastic disturbances is often drastically reduced. Though this fundamental tradeoff between…

Systems and Control · Electrical Eng. & Systems 2022-03-22 Bruce D. Lee , Thomas T. C. K. Zhang , Hamed Hassani , Nikolai Matni

Molecular machines transduce free energy between different forms throughout all living organisms. While truly machines in their own right, unlike their macroscopic counterparts molecular machines are characterized by stochastic…

Statistical Mechanics · Physics 2025-06-13 Matthew P. Leighton , David A. Sivak

ATP-driven proton pumps, which are critical to the operation of a cell, maintain cytosolic and organellar pH levels within a narrow functional range. These pumps employ two very different mechanisms: an elaborate rotary mechanism used by…

Subcellular Processes · Quantitative Biology 2017-11-01 Ramu Anandakrishnan , Daniel M. Zuckerman

We propose a planning and control approach to physics-based manipulation. The key feature of the algorithm is that it can adapt to the accuracy requirements of a task, by slowing down and generating `careful' motion when the task requires…

Robotics · Computer Science 2019-01-23 Wisdom C. Agboh , Mehmet R. Dogar

Biological molecular motors are high-performance nanomachines that convert chemical energy into mechanical motion via chemomechanical coupling. Their reaction cycles typically comprise a series of intermediate chemical states between the…

Biological Physics · Physics 2025-05-26 Akihiro Fukuda , Yohei Nakayama , Shoichi Toyabe

In the presence of ATP, molecular motors generate active force dipoles that drive suspensions of protein filaments far from thermodynamic equilibrium, leading to exotic dynamics and pattern formation. Microscopic modelling can help to…

Biological Physics · Physics 2015-06-17 D. A. Head , W. J. Briels , G. Gompper

We consider a molecular machine described as a Brownian particle diffusing in a tilted periodic potential. We evaluate the absorbed and released power of the machine as a function of the applied molecular and chemical forces, by using the…

Statistical Mechanics · Physics 2012-03-23 N. Golubeva , A. Imparato , L. Peliti

In recent literature there has been a lot of interest in the phenomena of noise induced transport in the absence of an average bias occurring in spatially periodic systems far from equilibrium. One of the main motivations in this area is to…

Biological Physics · Physics 2007-05-23 Raishma Krishnan , A. M. Jayannavar

Molecular dynamics is one of the most commonly used approaches for studying the dynamics and statistical distributions of many physical, chemical, and biological systems using atomistic or coarse-grained models. It is often the case,…

Computational Physics · Physics 2015-06-16 Ben Leimkuhler , Daniel T. Margul , Mark E. Tuckerman

The bacterial flagellar motor plays a crucial role in both bacterial locomotion and chemotaxis. Recent experiments reveal that the switching dynamics of the motor depends on the motor rotation speed, and thus the motor torque,…

Biological Physics · Physics 2013-07-26 Fan Bai , Tohru Minamino , Zhanghan Wu , Keiichi Namba , Jianhua Xing

We investigate the efficiency of systems of molecular motors operating at maximum power. We consider two models of kinesin motors on a microtubule: for both the simplified and the detailed model, we find that the many-body exclusion effect…

Statistical Mechanics · Physics 2015-06-11 N. Golubeva , A. Imparato