Instabilities in a two-dimensional polar-filament-motor system

The dynamical interaction between filaments and motor proteins is known for their propensity to self-organize into spatio-temporal patterns. Since the filaments are polar in the sense that motors define a direction of motion on them, the system can display a spatially homogeneous polar-filament orie...

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Hauptverfasser: Rühle, Victor (VerfasserIn) , Ziebert, Falko (VerfasserIn) , Peter, Ronny (VerfasserIn) , Zimmermann, Walter (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 29 October 2008
In: The European physical journal. E, Soft matter
Year: 2008, Jahrgang: 27, Heft: 3, Pages: 243-251
ISSN:1292-895X
DOI:10.1140/epje/i2007-10377-x
Online-Zugang:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1140/epje/i2007-10377-x
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Verfasserangaben:V. Rühle, F. Ziebert, R. Peter, and W. Zimmermann

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520 |a The dynamical interaction between filaments and motor proteins is known for their propensity to self-organize into spatio-temporal patterns. Since the filaments are polar in the sense that motors define a direction of motion on them, the system can display a spatially homogeneous polar-filament orientation. We show that the latter anisotropic state itself may become unstable with respect to inhomogeneous fluctuations. This scenario shares similarities with instabilities in planarly aligned nematic liquid crystals: in both cases the wave vector of the instability may be oriented either parallel or oblique to the polarity axis. However, the encountered instabilities here are long-wave instead of short-wave and the destabilizing modes are drifting ones due to the polar symmetry. Additionally a nonpropagating transverse instability is possible. The stability diagrams related to the various wave vector orientations relative to the polarity axis are determined and discussed for a specific model of motor-filament interactions. 
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