Symmetry and stability of orientationally ordered collective motions of self-propelled, semiflexible filaments

Ordered, collective motions commonly arise spontaneously in systems of many interacting, active units, ranging from cellular tissues and bacterial colonies to self-propelled colloids and animal flocks. Active phases are especially rich when the active units are sufficiently anisotropic to produce li...

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Main Authors: Madhuvanthi Guruprasad Athani, Daniel A. Beller
Format: Article
Language:English
Published: American Physical Society 2024-06-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.6.023319
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author Madhuvanthi Guruprasad Athani
Daniel A. Beller
author_facet Madhuvanthi Guruprasad Athani
Daniel A. Beller
author_sort Madhuvanthi Guruprasad Athani
collection DOAJ
description Ordered, collective motions commonly arise spontaneously in systems of many interacting, active units, ranging from cellular tissues and bacterial colonies to self-propelled colloids and animal flocks. Active phases are especially rich when the active units are sufficiently anisotropic to produce liquid crystalline order and thus active nematic phenomena, with important biophysical examples provided by cytoskeletal filaments including microtubules and actin. Gliding assay experiments have provided a test bed to study the collective motions of these cytoskeletal filaments and unlocked diverse collective active phases, including states with long-range orientational order. However, it is not well understood how such long-range order emerges from the interplay of passive and active aligning mechanisms. We use Brownian dynamics simulations to study the collective motions of semiflexible filaments that self-propel in quasi-two-dimensions, in order to gain insights into the aligning mechanisms at work in these gliding assay systems. We find that, without aligning torques in the microscopic model, long-range orientational order can only be achieved when the filaments are able to overlap. The symmetry (nematic or polar) of the long-range order that first emerges is shown to depend on the energy cost of filament overlap and on filament flexibility. However, our model also predicts that a long-range-ordered active nematic state is merely transient, whereas long-range polar order is the only active dynamical steady state in systems with finite filament rigidity.
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spelling doaj-art-a62ab679679a44e7a5b612e55adf7d802025-01-21T16:30:22ZengAmerican Physical SocietyPhysical Review Research2643-15642024-06-016202331910.1103/PhysRevResearch.6.023319Symmetry and stability of orientationally ordered collective motions of self-propelled, semiflexible filamentsMadhuvanthi Guruprasad AthaniDaniel A. BellerOrdered, collective motions commonly arise spontaneously in systems of many interacting, active units, ranging from cellular tissues and bacterial colonies to self-propelled colloids and animal flocks. Active phases are especially rich when the active units are sufficiently anisotropic to produce liquid crystalline order and thus active nematic phenomena, with important biophysical examples provided by cytoskeletal filaments including microtubules and actin. Gliding assay experiments have provided a test bed to study the collective motions of these cytoskeletal filaments and unlocked diverse collective active phases, including states with long-range orientational order. However, it is not well understood how such long-range order emerges from the interplay of passive and active aligning mechanisms. We use Brownian dynamics simulations to study the collective motions of semiflexible filaments that self-propel in quasi-two-dimensions, in order to gain insights into the aligning mechanisms at work in these gliding assay systems. We find that, without aligning torques in the microscopic model, long-range orientational order can only be achieved when the filaments are able to overlap. The symmetry (nematic or polar) of the long-range order that first emerges is shown to depend on the energy cost of filament overlap and on filament flexibility. However, our model also predicts that a long-range-ordered active nematic state is merely transient, whereas long-range polar order is the only active dynamical steady state in systems with finite filament rigidity.http://doi.org/10.1103/PhysRevResearch.6.023319
spellingShingle Madhuvanthi Guruprasad Athani
Daniel A. Beller
Symmetry and stability of orientationally ordered collective motions of self-propelled, semiflexible filaments
Physical Review Research
title Symmetry and stability of orientationally ordered collective motions of self-propelled, semiflexible filaments
title_full Symmetry and stability of orientationally ordered collective motions of self-propelled, semiflexible filaments
title_fullStr Symmetry and stability of orientationally ordered collective motions of self-propelled, semiflexible filaments
title_full_unstemmed Symmetry and stability of orientationally ordered collective motions of self-propelled, semiflexible filaments
title_short Symmetry and stability of orientationally ordered collective motions of self-propelled, semiflexible filaments
title_sort symmetry and stability of orientationally ordered collective motions of self propelled semiflexible filaments
url http://doi.org/10.1103/PhysRevResearch.6.023319
work_keys_str_mv AT madhuvanthiguruprasadathani symmetryandstabilityoforientationallyorderedcollectivemotionsofselfpropelledsemiflexiblefilaments
AT danielabeller symmetryandstabilityoforientationallyorderedcollectivemotionsofselfpropelledsemiflexiblefilaments