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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| Main Authors: | , , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
29 October 2008
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| In: |
The European physical journal. E, Soft matter
Year: 2008, Volume: 27, Issue: 3, Pages: 243-251 |
| ISSN: | 1292-895X |
| DOI: | 10.1140/epje/i2007-10377-x |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1140/epje/i2007-10377-x
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| Author Notes: | 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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