Shock dynamics of two-lane driven lattice gases

Schiffmann, Christoph; Appert-Rolland, Cécile; Santen, Ludger

doi:10.1088/1742-5468/2010/06/p06002

Cited by 28 publications

(35 citation statements)

References 34 publications

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“…We shall see later how the domain wall approach allowed in particular to understand multilane TASEP models [326] (section 5.2.2) and models without particle conservation in the bulk (section 6.2).…”

Section: Domain Wall Approachmentioning

confidence: 99%

“…In the text, we assume that p ↑ = p ↓ = 1, though a generalization to arbitrary values is straightforward. From [326]. Figure 20: Typical structure of a two-lane system with strong coupling.…”

Section: Multi-lane Uni-directional Transport With Bulk Lane Changesmentioning

confidence: 99%

“…Then the net vertical flux is zero everywhere except in adaptation layers and inside the shock pairs. From [326].…”

Section: Multi-lane Uni-directional Transport With Bulk Lane Changesmentioning

confidence: 99%

“…If the inand output rates are the same on both lanes, both lanes behave in a similar way, shocks on both lanes are coupled [255] and the phase diagram can be derived quite easily [296]. The dynamical characteristics of coupled lanes becomes more complex when the lanes have different initial states, and different in-and output rates [326].…”

Section: Multi-lane Uni-directional Transport With Bulk Lane Changesmentioning

confidence: 99%

“…The walls are represented a real discontinuities separated by a non-constant density profile on the two lanes. From [326]. correlated, since their distance is controlled by the amplitude of the local vertical flux.…”

Section: Multi-lane Uni-directional Transport With Bulk Lane Changesmentioning

confidence: 99%

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Intracellular transport driven by cytoskeletal motors: General mechanisms and defects

2015

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Cells are the elementary units of living organisms, which are able to carry out many vital functions. These functions rely on active processes on a microscopic scale. Therefore, they are strongly out-of-equilibrium systems, which are driven by continuous energy supply. The tasks that have to be performed in order to maintain the cell alive require transportation of various ingredients, some being small, others being large. Intracellular transport processes are able to induce concentration gradients and to carry objects to specific targets. These processes cannot be carried out only by diffusion, as cells may be crowded, and quite elongated on molecular scales. Therefore active transport has to be organized.The cytoskeleton, which is composed of three types of filaments (microtubules, actin and intermediate filaments), determines the shape of the cell, and plays a role in cell motion. It also serves as a road network for a special kind of vehicles, namely the cytoskeletal motors. These molecules can attach to a cytoskeletal filament, perform directed motion, possibly carrying along some cargo, and then detach.It is a central issue to understand how intracellular transport driven by molecular motors is regulated. The interest for this type of question was enhanced when it was discovered that intracellular transport breakdown is one of the signatures of some neuronal diseases like the Alzheimer.We give a survey of the current knowledge on microtubule based intracellular transport. Our review includes on the one hand an overview of biological facts, obtained from experiments, and on the other hand a presentation of some modeling attempts based on cellular automata. We present some background knowledge on the original and variants of the TASEP (Totally Asymmetric Simple Exclusion Process), before turning to more application oriented models. After addressing microtubule based transport in general, with a focus on in vitro experiments, and on cooperative effects in the transportation of large cargos by multiple motors, we concentrate on axonal transport, because of its relevance for neuronal diseases. Some important characteristics of axonal transport is that it takes place in a confined environment; Besides several types of motors are involved, that move in opposite directions. It is a challenge to understand how this bidirectional transport is organized. We review several features that could contribute to the efficiency of bidirectional transport in the axon, including in particular the role of motor-motor interactions and of the dynamics of the underlying microtubule network. Finally, we also discuss some open questions that may be relevant for future research in this field.

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Section: Domain Wall Approachmentioning

confidence: 99%

Section: Multi-lane Uni-directional Transport With Bulk Lane Changesmentioning

confidence: 99%

“…Then the net vertical flux is zero everywhere except in adaptation layers and inside the shock pairs. From [326].…”

Section: Multi-lane Uni-directional Transport With Bulk Lane Changesmentioning

confidence: 99%

Section: Multi-lane Uni-directional Transport With Bulk Lane Changesmentioning

confidence: 99%

Section: Multi-lane Uni-directional Transport With Bulk Lane Changesmentioning

confidence: 99%

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Intracellular transport driven by cytoskeletal motors: General mechanisms and defects

2015

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Theoretical Investigation of Interacting Molecular Motors

Jindal

Midha

Gupta

2022

Nonlinear Dynamics of Nanobiophysics

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Role of Interactions and Correlations on Collective Dynamics of Molecular Motors Along Parallel Filaments

Midha

Gupta

2017

J Stat Phys

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Cytoskeletal motors known as motor proteins are molecules that drive cellular transport along several parallel cytoskeletal filaments and support many biological processes. Experimental evidence suggests that they interact with the nearest molecules of their filament while performing any mechanical work. To understand such mechanism theoretically, a new version of two-channel totally asymmetric simple exclusion process which incorporates interactions in a thermodynamically consistent way is introduced. As the existing approaches for multi-channel systems deviate from analyzing the combined effect of inter and intra-channel interactions, a new approach known as modified vertical cluster mean field is developed. The approach along with monte-carlo simulations successfully encounters some correlations and computes the complex dynamic properties of the system. Role of symmetry of interactions and inter-channel coupling is observed on the triple points and the particle maximal current. Surprisingly, for all values of coupling rate and most of the interaction splittings, the optimal interaction strength corresponding to maximal current belongs to the case of weak repulsive interactions. Moreover, for weak interaction splittings and with an increase in the coupling rate, the optimal interaction strength tends towards the known experimental results. Coupling in between the lanes decreases the correlations. They are found to be short-range and weaker for repulsive and weak attractive interactions, while long-range and stronger for large attractions.

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Shock dynamics of two-lane driven lattice gases

Cited by 28 publications

References 34 publications

Intracellular transport driven by cytoskeletal motors: General mechanisms and defects

Intracellular transport driven by cytoskeletal motors: General mechanisms and defects

Theoretical Investigation of Interacting Molecular Motors

Role of Interactions and Correlations on Collective Dynamics of Molecular Motors Along Parallel Filaments

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