Nematic order by elastic interactions and cellular rigidity sensing

Details Nematic order by elastic interactions and cellular rigidity sensing Nematic order by elastic interactions and cellular rigidity sensing

2010-09-26

arxiv.org/abs/1009.5101v2

Physics

Biological Physics

12 pages, 4 figures

Scientific paper

We predict spontaneous nematic order in an ensemble of active force generators with elastic interactions as a minimal model for early nematic alignment of short stress fibers in non-motile, adhered cells. Mean-field theory is formally equivalent to Maier-Saupe theory for a nematic liquid. However, the elastic interactions are long-ranged (and thus depend on cell shape and matrix elasticity) and originate in cell activity. Depending on the density of force generators, we find two regimes of cellular rigidity sensing for which orientational, nematic order of stress fibers depends on matrix rigidity either in a step-like manner or with a maximum at an optimal rigidity.

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