Pattern formation driven by nematic ordering of assembling biopolymers

The biopolymers actin and microtubules are often in an ongoing assembling-disassembling state far from thermal equilibrium. Above a critical density this leads to spatially periodic patterns, as shown by a scaling argument and in terms of a phenomenological continuum model, which meets also Onsager’...

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Hauptverfasser: Ziebert, Falko (VerfasserIn) , Zimmermann, Walter (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 30 August 2004
In: Physical review. E, Statistical, nonlinear, and soft matter physics
Year: 2004, Jahrgang: 70, Heft: 2, Pages: 1-4
ISSN:1550-2376
DOI:10.1103/PhysRevE.70.022902
Online-Zugang:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevE.70.022902
Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevE.70.022902
Volltext
Verfasserangaben:Falko Ziebert and Walter Zimmermann
Beschreibung
Zusammenfassung:The biopolymers actin and microtubules are often in an ongoing assembling-disassembling state far from thermal equilibrium. Above a critical density this leads to spatially periodic patterns, as shown by a scaling argument and in terms of a phenomenological continuum model, which meets also Onsager’s statistical theory of the nematic-to-isotropic transition in the absence of reaction kinetics. This pattern forming process depends much on nonlinear effects and a common linear stability analysis of the isotropic distribution of the filaments is often misleading. The wave number of the pattern decreases with the assembling-disassembling rate and there is an uncommon discontinuous transition between the nematic and periodic states.
Beschreibung:Gesehen am 21.09.2022
Beschreibung:Online Resource
ISSN:1550-2376
DOI:10.1103/PhysRevE.70.022902