Instabilities in a two-dimensional polar-filament-motor system |
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Authors: | V Rühle F Ziebert R Peter W Zimmermann |
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Institution: | 1.Theoretische Physik,Universit?t Bayreuth,Bayreuth,Germany |
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Abstract: | 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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Keywords: | PACS" target="_blank">PACS 87 16 -b Subcellular structure and processes 47 54 -r Pattern selection pattern formation 89 75 -k Complex systems |
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