The Efficiency of Molecular Motors

Zhang, Yunxin

doi:10.1007/s10955-009-9695-3

Cited by 22 publications

(29 citation statements)

References 34 publications

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“…Much attention has been recently drawn to molecular motors-nanoscaled devices, converting energy (mostly chemical, e.g., stored in ATP) into mechanical work and motion [1]. The estimation of the amount of energy dissipated during the movement is the key for determining the efficiency of such motors [2]. The unresolved experimental problem is how to quantify the work exerted against the hydrodynamic drag and measure the dissipation at the nanoscale in complex liquids?…”

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confidence: 99%

Activation Energy for Mobility of Dyes and Proteins in Polymer Solutions: From Diffusion of Single Particles to Macroscale Flow

et al. 2013

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We measure the activation energy E a for the diffusion of molecular probes (dyes and proteins of radii from 0.52 to 6.9 nm) and for macroscopic flow in a model complex liquid-aqueous solutions of polyethylene glycol. We cover a broad range of polymer molecular weights, concentrations, and temperatures. Fluorescence correlation spectroscopy and rheometry experiments reveal a relationship between the excess of the activation energy in polymer solutions over the one in pure solvent ÁE a and simple parameters describing the structure of the system: probe radius, polymer hydrodynamic radius, and correlation length. ÁE a varies by more than an order of magnitude in the investigated systems (in the range of ca. 1-15 kJ=mol) and for probes significantly larger than the polymer hydrodynamic radius approaches the value measured for macroscopic flow. We develop an explicit formula describing the smooth transition of ÁE a from the diffusion of molecular probes to macroscopic flow. This formula is a reference for the quantitative analysis of specific interactions of moving nano-objects with their environment as well as active transport. For instance, the power developed by a molecular motor moving at constant velocity u is proportional to u 2 expðE a =RTÞ.

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confidence: 99%

Activation Energy for Mobility of Dyes and Proteins in Polymer Solutions: From Diffusion of Single Particles to Macroscale Flow

et al. 2013

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“…To the continuous models, the probability density ρ(x, t) of finding the particle in position (or state) x and at time t, is governed by the following Smoluchowski equation [11,15,24] …”

Section: Reduction Of Continuous Modelsmentioning

confidence: 99%

“…In these models, the particle jumps along a periodical linear track (e.g., microtubule or filament for motor proteins kinesin, dynein and myosion [7][8][9]) from one binding site to the next one through the sequence of N mechanochemical states [10,11]. The particle in state j can jump forward to state j + 1 with rate u j , or jump backward to state j − 1 with rate w j .…”

Section: Introductionmentioning

confidence: 99%

An effective description of a periodic one-dimensional hopping model

Zhang

2011

Sci. China Phys. Mech. Astron.

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The periodic one-dimensional hopping model is useful for studying the motion of microscopic particles in the thermal noise environment. Based on the explicit formulations of mean velocity, mean first passage time and effective diffusion constant, a general N internal states or even infinite internal states model can be approximated by a one state model that retains the basic properties of the original process. This effective description aids the analysis of biochemical and biophysical problems. This effective description also implies that, to some extent, many processes can be well described by simple two-state models, or even one-state models.hopping model, mean velocity, mean first passage time, effective diffusion constant

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“…One possible reason that the energy efficiency η of heat engines with nontrival power is usually less than the Carnot efficiency η c is that, nonzero irreversible work will be spent during the work cycle of heat engines to overcome the viscus friction in environment, and usually the more the irreversible work, the lower the energy efficiency * Email: xyz@fudan.edu.cn [4,7,24]. How to optimize heat engines to reduce as much as possible the irreversible work is one of the main aims of this study.…”

Section: Introductionmentioning

confidence: 99%

Optimisation of a class of heat engines with explicit solution

Zhang

2019

Physica A: Statistical Mechanics and its Applications

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A specific class of stochastic heat engines driven cyclically by time dependent potential on the positive real axis is analyzed, and most of their physical quantities can be obtained explicitly, including the entropy, internal energy, output work (power), heat exchange with environment. Method of optimization according to the external potential to reduce the irreversible work, and then to increase the energy efficiency, is presented. With this optimized potential, the efficiency η * , efficiency at maximum power η * EMP are calculated and discussed briefly.

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The Efficiency of Molecular Motors

Cited by 22 publications

References 34 publications

Activation Energy for Mobility of Dyes and Proteins in Polymer Solutions: From Diffusion of Single Particles to Macroscale Flow

Activation Energy for Mobility of Dyes and Proteins in Polymer Solutions: From Diffusion of Single Particles to Macroscale Flow

An effective description of a periodic one-dimensional hopping model

Optimisation of a class of heat engines with explicit solution

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