Transport characteristics of molecular motors

  title={Transport characteristics of molecular motors},
  author={Lukasz Machura and Marcin Kostur and Jerzy Luczka},
  journal={Bio Systems},
  volume={94 3},
Properties of transport of molecular motors are investigated. A simplified model based on the concept of Brownian ratchets is applied. We analyze a stochastic equation of motion by means of numerical methods. The transport is systematically studied with respect to its energetic efficiency and quality expressed by an effective diffusion coefficient. We demonstrate the role of friction and non-equilibrium driving on the transport quantifiers and identify regions of a parameter space where motors… Expand
Inertial Brownian motors driven by biharmonic signals
We study transport properties of an inertial Brownian particle moving in viscous symmetric periodic structures and driven by an oscillating signal of two harmonic components. We analyze the influenceExpand
The thermodynamic cycle of an entropy-driven stepper motor walking hand-over-hand
Abstract We develop a model of a kinesin motor based on an entropy-driven spring between the two heads of the stepper. The stepper is coupled to the energy depot which is reservoir of ATP. A LangevinExpand
Absolute negative mobility of inertial Brownian particles induced by noise
We study transport of a harmonically driven inertial particle moving in a symmetric periodic potential and subjected to both unbiased Gaussian thermal equilibrium noise and biased non-equilibriumExpand
Anomalous transport controlled via potential fluctuations
In this paper, we investigate the transport of an inertial Brownian motor moving in an asymmetric periodic potential, where it is driven by a time periodic and a constant biasing driving force, andExpand
Negative mobility of a Brownian particle: Strong damping regime
The optimal dimensionless mass is determined for the presence of negative mobility and three mechanisms standing behind this anomaly are revealed: deterministic chaotic, thermal noise induced and deterministic non-chaotic. Expand
Multiple current reversals and diffusion enhancement in a symmetrical periodic potential.
It is shown that the correlation between two noises breaks the symmetry of the potential to generate motion of the Brownian particles in particular direction, and the current can reverse its direction by changing the sign of the noise correlation. Expand
Transient anomalous diffusion in periodic systems: ergodicity, symmetry breaking and velocity relaxation
Mechanisms of diffusion anomalies related to ergodicity of the system, symmetry breaking of the periodic potential and ultraslow relaxation of the particle velocity towards its steady state are revealed. Expand
Absolute negative mobility induced by white Poissonian noise
We study the transport properties of inertial Brownian particles which move in a symmetric periodic potential and are subjected to both a symmetric, unbiased time-periodic external force and a biasedExpand
Non-monotonic temperature dependence of chaos-assisted diffusion in driven periodic systems
The spreading of a cloud of independent Brownian particles typically proceeds more effectively at higher temperatures, as it derives from the commonly known Sutherland-Einstein relation for systemsExpand
Multiple absolute negative mobilities and current reversals induced by flashing potential fluctuations
Abstract We study an inertial Brownian particle moving in a spatially-periodic symmetric potential under the influence of a time periodic and constant biasing driving force, and a Gaussian whiteExpand


Performance characteristics of Brownian motors.
It is highlighted that it is possible to determine the energy efficiency of Brownian motors by measuring their velocity fluctuations, without detailed knowledge of the motor function and its energy input, as well as suitable performance measures for motor coherency and efficiency. Expand
Application of statistical mechanics to stochastic transport
Abstract The problem of transport of Brownian particles in spatially periodic structures is presented. Based on the Feynman ratchet, a mathematical model of a thermal ratchet is constructed as theExpand
Optimal strategy for controlling transport in inertial Brownian motors.
The effective diffusion of this rocked inertial Brownian motor can be expressed as a generalized fluctuation theorem of the Green-Kubo type. Expand
Rectification efficiency of a Brownian motor.
  • D. Suzuki, T. Munakata
  • Mathematics, Medicine
  • Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2003
Energetics of the system suggests that the frictional dissipation energy associated with the unidirectional movement should be counted as a part of the useful energy for the rectification process of a Brownian motor, leading to a new definition of the efficiency. Expand
Brownian motors: current fluctuations and rectification efficiency.
This work considers a Brownian inertial motor that is driven by an unbiased monochromatic, time-periodic force and thermal noise, and investigates the role of fluctuations of the noise-induced current and its consequences for the efficiency of rectifying noise. Expand
Forcing inertial Brownian motors: Efficiency and negative differential mobility
The noise-assisted, directed transport in a one-dimensional dissipative, inertial Brownian motor of the rocking type that is exposed to an external bias is investigated. We demonstrate that theExpand
We study the diffusive motion of an overdamped Brownian particle in a tilted periodic potential. Mapping the continuous dynamics onto a discrete cumulative process we find exact expressions for theExpand
ADDENDUM AND ERRATUM: Optimal strategy for controlling transport in inertial Brownian motors
In order to optimize the directed motion of an inertial Brownian motor, we identify the operating conditions that both maximize the motor current and minimize its dispersion. Extensive numericalExpand
Demonstration of a controllable three-dimensional Brownian motor in symmetric potentials.
We demonstrate a Brownian motor, based on cold atoms in optical lattices, where isotropic random fluctuations are rectified in order to induce controlled atomic motion in arbitrary directions. InExpand
Brownian transport controlled by dichotomic and thermal fluctuations 1 The paper dedicated to the me
Abstract We study transport of Brownian particles in spatially periodic structures, driven by both thermal equilibrium fluctuations and dichotomic noise of zero mean values. Introducing specificExpand