Pulsatory patterns in active viscoelastic fluids with distinct relaxation time scales

Developing tissues need to pattern themselves in space and time. A prevalent mechanism to achieve this are pulsatile active stresses generated by the actin cytoskeleton. Active gel theory is a powerful tool to model the dynamics of cytoskeletal pattern formation. In theoretical models, the influence...

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Main Authors: E M de Kinkelder, E Fischer-Friedrich, S Aland
Format: Article
Language:English
Published: IOP Publishing 2023-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/acd5f7
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author E M de Kinkelder
E Fischer-Friedrich
S Aland
author_facet E M de Kinkelder
E Fischer-Friedrich
S Aland
author_sort E M de Kinkelder
collection DOAJ
description Developing tissues need to pattern themselves in space and time. A prevalent mechanism to achieve this are pulsatile active stresses generated by the actin cytoskeleton. Active gel theory is a powerful tool to model the dynamics of cytoskeletal pattern formation. In theoretical models, the influence of the viscoelastic nature of the actin cytoskeleton has so far only been investigated by the incorporation of one viscoelastic relaxation time scale. Here, using a minimal model of active gel theory, we show that distinct shear and areal relaxation times are sufficient to drive pulsatile dynamics in active surfaces with only a single molecular regulator.
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spelling doaj.art-16a6bc47d38e44ff811ab39acd21074f2023-08-09T14:15:47ZengIOP PublishingNew Journal of Physics1367-26302023-01-0125505303510.1088/1367-2630/acd5f7Pulsatory patterns in active viscoelastic fluids with distinct relaxation time scalesE M de Kinkelder0https://orcid.org/0000-0002-2694-462XE Fischer-Friedrich1https://orcid.org/0000-0002-2433-916XS Aland2https://orcid.org/0000-0002-5258-0006Institute of Numerical Analysis and Optimization, Technische Universtität Bergakademie Freiberg , Freiberg, Germany; Faculty of Informatics/Mathematics, Hochschule für Technik und Wirtschaft , Dresden, GermanyCluster of Excellence Physics of Life , Technische Universität Dresden, Dresden, Germany; Biotechnology Center, Technische Universität Dresden , Dresden, Germany; Faculty of Physics, Technische Universität Dresden , Dresden, GermanyInstitute of Numerical Analysis and Optimization, Technische Universtität Bergakademie Freiberg , Freiberg, Germany; Faculty of Informatics/Mathematics, Hochschule für Technik und Wirtschaft , Dresden, GermanyDeveloping tissues need to pattern themselves in space and time. A prevalent mechanism to achieve this are pulsatile active stresses generated by the actin cytoskeleton. Active gel theory is a powerful tool to model the dynamics of cytoskeletal pattern formation. In theoretical models, the influence of the viscoelastic nature of the actin cytoskeleton has so far only been investigated by the incorporation of one viscoelastic relaxation time scale. Here, using a minimal model of active gel theory, we show that distinct shear and areal relaxation times are sufficient to drive pulsatile dynamics in active surfaces with only a single molecular regulator.https://doi.org/10.1088/1367-2630/acd5f7viscoelasticactive gel theorylinear stability analysisactin cortex
spellingShingle E M de Kinkelder
E Fischer-Friedrich
S Aland
Pulsatory patterns in active viscoelastic fluids with distinct relaxation time scales
New Journal of Physics
viscoelastic
active gel theory
linear stability analysis
actin cortex
title Pulsatory patterns in active viscoelastic fluids with distinct relaxation time scales
title_full Pulsatory patterns in active viscoelastic fluids with distinct relaxation time scales
title_fullStr Pulsatory patterns in active viscoelastic fluids with distinct relaxation time scales
title_full_unstemmed Pulsatory patterns in active viscoelastic fluids with distinct relaxation time scales
title_short Pulsatory patterns in active viscoelastic fluids with distinct relaxation time scales
title_sort pulsatory patterns in active viscoelastic fluids with distinct relaxation time scales
topic viscoelastic
active gel theory
linear stability analysis
actin cortex
url https://doi.org/10.1088/1367-2630/acd5f7
work_keys_str_mv AT emdekinkelder pulsatorypatternsinactiveviscoelasticfluidswithdistinctrelaxationtimescales
AT efischerfriedrich pulsatorypatternsinactiveviscoelasticfluidswithdistinctrelaxationtimescales
AT saland pulsatorypatternsinactiveviscoelasticfluidswithdistinctrelaxationtimescales