Theory of active self-organization of dense nematic structures in the actin cytoskeleton

Fuente: arXiv
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Main Authors: Mirza, Waleed, De Corato, Marco, Pensalfini, Marco, Vilanova, Guillermo, Torres-Sánchez, Alejandro, Arroyo, Marino
Format: Preprint
Published: 2023
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author Mirza, Waleed
De Corato, Marco
Pensalfini, Marco
Vilanova, Guillermo
Torres-Sánchez, Alejandro
Arroyo, Marino
author_facet Mirza, Waleed
De Corato, Marco
Pensalfini, Marco
Vilanova, Guillermo
Torres-Sánchez, Alejandro
Arroyo, Marino
contents The actin cytoskeleton is remarkably adaptable and multifunctional. It often organizes into nematic bundles such as contractile rings or stress fibers. However, how a uniform and isotropic actin gel self-organizes into dense nematic bundles is not fully understood. Here, using an active gel model accounting for nematic order and density variations, we identify an active patterning mechanism leading to localized dense nematic structures. Linear stability analysis and nonlinear finite element simulations establish the conditions for nematic bundle self-assembly and how active gel parameters control the architecture, orientation, connectivity and dynamics of self-organized patterns. Finally, we substantiate with discrete network simulations the main requirements for nematic bundle formation according to our theory, namely increased active tension perpendicular to the nematic direction and generalized active forces conjugate to nematic order. Our work portrays actin gels a reconfigurable active materials with a spontaneous tendency to develop patterns of dense nematic bundles.
format Preprint
id arxiv_https___arxiv_org_abs_2306_15352
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Theory of active self-organization of dense nematic structures in the actin cytoskeleton
Mirza, Waleed
De Corato, Marco
Pensalfini, Marco
Vilanova, Guillermo
Torres-Sánchez, Alejandro
Arroyo, Marino
Biological Physics
Soft Condensed Matter
The actin cytoskeleton is remarkably adaptable and multifunctional. It often organizes into nematic bundles such as contractile rings or stress fibers. However, how a uniform and isotropic actin gel self-organizes into dense nematic bundles is not fully understood. Here, using an active gel model accounting for nematic order and density variations, we identify an active patterning mechanism leading to localized dense nematic structures. Linear stability analysis and nonlinear finite element simulations establish the conditions for nematic bundle self-assembly and how active gel parameters control the architecture, orientation, connectivity and dynamics of self-organized patterns. Finally, we substantiate with discrete network simulations the main requirements for nematic bundle formation according to our theory, namely increased active tension perpendicular to the nematic direction and generalized active forces conjugate to nematic order. Our work portrays actin gels a reconfigurable active materials with a spontaneous tendency to develop patterns of dense nematic bundles.
title Theory of active self-organization of dense nematic structures in the actin cytoskeleton
topic Biological Physics
Soft Condensed Matter
url https://arxiv.org/abs/2306.15352