Chirality and Equilibrium Biopolymer Bundles
arXiv:0705.0392 · doi:10.1103/PhysRevLett.99.098101
Abstract
We use continuum theory to show that chirality is a key thermodynamic control parameter for the aggregation of biopolymers: chirality produces a stable disperse phase of hexagonal bundles under moderately poor solvent conditions, as has been observed in {\it in-vitro} studies of F-actin [O. Pelletier {\it et al.}, Phys. Rev. Lett. {\bf 91}, 148102 (2003)]. The large characteristic radius of these chiral bundles is not determined by a mysterious long-range molecular interaction but by in-plane shear elastic stresses generated by the interplay between a chiral torque and an unusual, but universal, non-linear gauge term in the strain tensor of ordered chains that is imposed by rotational invariance.
4 pages; 2 figures
References in corpus (6)
- Structural Polymorphism of the Cytoskeleton: A Model of Linker-Assisted Filament Aggregation
- Equilibrium Bundle Size of Rodlike Polyelectrolytes with Counterion-Induced Attractive Interactions
- Defects in Chiral Columnar Phases: Tilt Grain Boundaries and Iterated Moire Maps
- Iterated Moire Maps and Braiding of Chiral Polymer Crystals
- Twist-bend instability for toroidal DNA condensates
- A twist in chiral interaction between biological helices
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