Exclusion processes on networks as models for cytoskeletal transport

We present a study of exclusion processes on networks as models for complex transport phenomena, and in particular for active transport of motor proteins along the cytoskeleton. Specifically, we focus on the totally asymmetric simple exclusion process (TASEP) as well as its generalizations including...

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Main Authors: Izaak Neri, Norbert Kern, Andrea Parmeggiani
Format: Article
Language:English
Published: IOP Publishing 2013-01-01
Series:New Journal of Physics
Online Access:https://doi.org/10.1088/1367-2630/15/8/085005
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author Izaak Neri
Norbert Kern
Andrea Parmeggiani
author_facet Izaak Neri
Norbert Kern
Andrea Parmeggiani
author_sort Izaak Neri
collection DOAJ
description We present a study of exclusion processes on networks as models for complex transport phenomena, and in particular for active transport of motor proteins along the cytoskeleton. Specifically, we focus on the totally asymmetric simple exclusion process (TASEP) as well as its generalizations including backstepping (partially asymmetric simple exclusion process (PASEP)) and exchange with a bulk concentration (TASEP with Langmuir kinetics (TASEP-LK)). We build on the previously used effective rate approach to establish a general methodology in terms of effective rate diagrams, which allows for a simple classification of the stationary transport state of the total network. This approach is general and reveals generic features of exclusion processes on networks. Based on the three examples considered here, we show that the classification can be made in terms of three qualitative different network regimes: a homogeneous regime, a heterogeneous network regime and a heterogeneous segment regime. Using parameters representative of real motor proteins, we show how the transitions between these regimes can be regulated through a variety of multi-scale factors, such as the interplay of exclusion interactions, the non-equilibrium nature of the transport process, motor processivity and the network topology. Using the equilibrium limits of PASEP and TASEP-LK, we also shed further light on the emergence of density heterogeneities in active transport phenomena.
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spelling doaj.art-b062f1c7fe4047e4a924227a1caa8c3d2023-08-08T11:28:31ZengIOP PublishingNew Journal of Physics1367-26302013-01-0115808500510.1088/1367-2630/15/8/085005Exclusion processes on networks as models for cytoskeletal transportIzaak Neri0Norbert Kern1Andrea Parmeggiani2Université Montpellier 2 , Laboratoire Charles Coulomb UMR 5221, F-34095 Montpellier, France; CNRS, Laboratoire Charles Coulomb UMR 5221 , F-34095 Montpellier, FranceUniversité Montpellier 2 , Laboratoire Charles Coulomb UMR 5221, F-34095 Montpellier, France; CNRS, Laboratoire Charles Coulomb UMR 5221 , F-34095 Montpellier, FranceUniversité Montpellier 2 , Laboratoire Charles Coulomb UMR 5221, F-34095 Montpellier, France; CNRS, Laboratoire Charles Coulomb UMR 5221 , F-34095 Montpellier, France; Université Montpellier 2 , Laboratoire DIMNP UMR 5235, F-34095 Montpellier, France; CNRS, Laboratoire DIMNP UMR 5235, F-34095 Montpellier, FranceWe present a study of exclusion processes on networks as models for complex transport phenomena, and in particular for active transport of motor proteins along the cytoskeleton. Specifically, we focus on the totally asymmetric simple exclusion process (TASEP) as well as its generalizations including backstepping (partially asymmetric simple exclusion process (PASEP)) and exchange with a bulk concentration (TASEP with Langmuir kinetics (TASEP-LK)). We build on the previously used effective rate approach to establish a general methodology in terms of effective rate diagrams, which allows for a simple classification of the stationary transport state of the total network. This approach is general and reveals generic features of exclusion processes on networks. Based on the three examples considered here, we show that the classification can be made in terms of three qualitative different network regimes: a homogeneous regime, a heterogeneous network regime and a heterogeneous segment regime. Using parameters representative of real motor proteins, we show how the transitions between these regimes can be regulated through a variety of multi-scale factors, such as the interplay of exclusion interactions, the non-equilibrium nature of the transport process, motor processivity and the network topology. Using the equilibrium limits of PASEP and TASEP-LK, we also shed further light on the emergence of density heterogeneities in active transport phenomena.https://doi.org/10.1088/1367-2630/15/8/085005
spellingShingle Izaak Neri
Norbert Kern
Andrea Parmeggiani
Exclusion processes on networks as models for cytoskeletal transport
New Journal of Physics
title Exclusion processes on networks as models for cytoskeletal transport
title_full Exclusion processes on networks as models for cytoskeletal transport
title_fullStr Exclusion processes on networks as models for cytoskeletal transport
title_full_unstemmed Exclusion processes on networks as models for cytoskeletal transport
title_short Exclusion processes on networks as models for cytoskeletal transport
title_sort exclusion processes on networks as models for cytoskeletal transport
url https://doi.org/10.1088/1367-2630/15/8/085005
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AT norbertkern exclusionprocessesonnetworksasmodelsforcytoskeletaltransport
AT andreaparmeggiani exclusionprocessesonnetworksasmodelsforcytoskeletaltransport