# Pattern formation driven by nematic ordering of assembling biopolymers

Source: [Pattern formation driven by nematic ordering of assembling biopolymers](<https://www.sota2.com/research/paper/68fa1e457a2b558e293214b0>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-23T14:39:44.514Z

Authors: Falko Ziebert, Walter Zimmermann

Published: 2003-04-28T18:56:54.000Z

## Abstract

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, that 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 the periodic state.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0304635>)

[PDF](<https://arxiv.org/pdf/cond-mat/0304635.pdf>)