Collective Directional Transport of Coupled Oscillators in Symmetric  Periodic Potentials

Collective directional transport of particles in symmetric periodic potentials is studied. An example is given to reveal the directed motion of a single particle in a symmetric periodic potential and subject to an asymmetric ac force with zero mean. It is then shown that the asymmetric coupling can give rise to a directed transport. The transport failure (pinning of the lattice) is related to the phase delocalization (crisis) in the circle map. For symmetric couplings, it is found that a train of plane wave can also lead to a directed transport. The mode-locking steps of the transport velocity is found and analyzed. The collective transport can be well optimized by adjusting parameters in the system.

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Directed Transport in Symmetrically Periodic Potentials Induced by Cross-Correlation among Colored Gaussian Noises

International Journal of Nonlinear Sciences and Numerical Simulation ◽

10.1515/ijnsns-2016-0193 ◽

2019 ◽

Vol 20 (2) ◽

pp. 105-114

Author(s):

Igor Alexandrovich Knyaz’

Keyword(s):

Correlation Time ◽

Cross Correlation ◽

Periodic Potential ◽

Brownian Particle ◽

System Parameters ◽

Directed Transport ◽

Periodic Potentials ◽

Spatially Periodic ◽

Correlation Parameters

AbstractWe study the noise induced directed transport of an inertial Brownian particle moving in a symmetric spatially periodic potential and is subjected to correlated colored noises. Under the assumption of small correlation times of colored fluctuations we obtain an analytical expression for resulting current in overdamped systems. Our analytical and numerical calculations indicate the directed current is controlled by the correlation parameters. It has been pointed out that the nonzero correlation time makes an important contribution to current only at large enough values of noise intensities. The role of other system parameters is investigated from the viewpoint of optimization the current amplitude.

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Resonancelike phenomena in the mobility of a chain of nonlinear coupled oscillators in a two-dimensional periodic potential

Physical Review E ◽

10.1103/physreve.78.041121 ◽

2008 ◽

Vol 78 (4) ◽

Cited By ~ 8

Author(s):

S. Martens ◽

D. Hennig ◽

S. Fugmann ◽

L. Schimansky-Geier

Keyword(s):

Coupled Oscillators ◽

Periodic Potential ◽

Two Dimensional ◽

Nonlinear Coupled Oscillators ◽

A Chain

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Collective Directed Transport of Symmetrically Coupled Lattices in Symmetric Periodic Potentials

Physical Review Letters ◽

10.1103/physrevlett.89.154102 ◽

2002 ◽

Vol 89 (15) ◽

Cited By ~ 35

Author(s):

Zhigang Zheng ◽

M. C. Cross ◽

Gang Hu

Keyword(s):

Directed Transport ◽

Periodic Potentials

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Directed motion in a periodic potential of a quantum system coupled to a heat bath driven by a colored noise

Physical Review E ◽

10.1103/physreve.78.021123 ◽

2008 ◽

Vol 78 (2) ◽

Cited By ~ 8

Author(s):

Satyabrata Bhattacharya ◽

Pinaki Chaudhury ◽

Sudip Chattopadhyay ◽

Jyotipratim Ray Chaudhuri

Keyword(s):

Quantum System ◽

Colored Noise ◽

Periodic Potential ◽

Heat Bath ◽

Directed Motion

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Variations of Helicon Wave-induced Radial Plasma Transport in Different Experimental Conditions

Australian Journal of Physics ◽

10.1071/ph940315 ◽

1994 ◽

Vol 47 (3) ◽

pp. 315 ◽

Cited By ~ 6

Author(s):

V Petržílka

Keyword(s):

Plasma Density ◽

Plasma Transport ◽

Plasma Confinement ◽

Experimental Conditions ◽

Magnetostatic Field ◽

Directed Transport ◽

Helicon Wave ◽

Transport Velocity ◽

Plasma Radius ◽

Wave Induced

Variations of the helicon wave-induced radial plasma transport are presented depending on values of the plasma radius, magnetostatic field, plasma density and the frequency of the helicon wave. It is shown that the value of the helicon wave-induced transport may be significant for plasma confinement; this is demonstrated, for the experiments BASIL and SHEILA. Whereas m = +1 helicons induce an inward-directed transport and thus improve the confinement, m = -1 helicons induce an outward-directed transport velocity.

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Kinesin-4 Motor Teams Effectively Navigate Dendritic Microtubule Arrays Through Track Switching and Regulation of Microtubule Dynamics

10.1101/2021.02.28.433181 ◽

2021 ◽

Author(s):

Erin M. Masucci ◽

Peter K. Relich ◽

Melike Lakadamyali ◽

E. Michael Ostap ◽

Erika L. F. Holzbaur

Keyword(s):

Binding Sites ◽

Intracellular Transport ◽

Microtubule Dynamics ◽

Directional Bias ◽

Microtubule Binding ◽

Directed Transport ◽

Binding Regions ◽

Mixed Polarity ◽

Directional Transport

Microtubules establish the directionality of intracellular transport by kinesins and dynein through their polarized assembly, but it remains unclear how directed transport occurs along microtubules organized with mixed polarity. We investigated the ability of the plus-end directed kinesin-4 motor KIF21B to navigate mixed polarity microtubules in mammalian dendrites. Reconstitution assays with recombinant KIF21B and engineered microtubule bundles or extracted neuronal cytoskeletons indicate that nucleotide-independent microtubule binding regions of KIF21B modulate microtubule dynamics and promote directional switching on antiparallel microtubules. Optogenetic recruitment of KIF21B to organelles in live neurons resulted in unidirectional transport in axons but bi-directional transport with a net retrograde bias in dendrites; microtubule dynamics and the secondary microtubule binding regions are required for this net directional bias. We propose a model in which cargo-bound KIF21B motors coordinate nucleotide-sensitive and insensitive microtubule binding sites to achieve net retrograde movement along the dynamic mixed polarity microtubule arrays of dendrites.

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Microtubule-directed transport of purine metabolons drives their cytosolic transit to mitochondria

Proceedings of the National Academy of Sciences ◽

10.1073/pnas.1814042115 ◽

2018 ◽

Vol 115 (51) ◽

pp. 13009-13014 ◽

Cited By ~ 9

Author(s):

Chung Yu Chan ◽

Anthony M. Pedley ◽

Doory Kim ◽

Chenglong Xia ◽

Xiaowei Zhuang ◽

...

Keyword(s):

Subcellular Localization ◽

Biosynthetic Pathway ◽

De Novo ◽

Microtubule Depolymerization ◽

Directed Motion ◽

Time Resolved ◽

Superresolution Imaging ◽

Directed Transport ◽

Time Resolved Imaging ◽

Localization Time

To meet their purine demand, cells activate the de novo purine biosynthetic pathway and transiently cluster the pathway enzymes into metabolons called purinosomes. Recently, we have shown that purinosomes were spatially colocalized with mitochondria and microtubules, yet it remained unclear as to what drives these associations and whether a relationship between them exist. Here, we employed superresolution imaging methods to describe purinosome transit in the context of subcellular localization. Time-resolved imaging of purinosomes showed that these assemblies exhibit directed motion as they move along a microtubule toward mitochondria, where upon colocalization, a change in purinosome motion was observed. A majority of purinosomes colocalized with mitochondria were also deemed colocalized with microtubules. Nocodazole-dependent microtubule depolymerization resulted in a loss in the purinosome–mitochondria colocalization, suggesting that the association of purinosomes with mitochondria is facilitated by microtubule-directed transport, and thereby supporting our notion of an interdependency between these subcellular components in maximizing purine production through the de novo purine biosynthetic pathway.

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