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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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
30 August 2004
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| In: |
Physical review. E, Statistical, nonlinear, and soft matter physics
Year: 2004, Volume: 70, Issue: 2, Pages: 1-4 |
| ISSN: | 1550-2376 |
| DOI: | 10.1103/PhysRevE.70.022902 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevE.70.022902 Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevE.70.022902 
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| Author Notes: | Falko Ziebert and Walter Zimmermann |
MARC
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| 520 | |a 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. | ||
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