Allosteric propagation of curvature along filament

Ken Sekimoto

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arXiv · 2407.10826

Allosteric propagation of curvature along filament

Ken Sekimoto

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Abstract

Can a filament transmit the curvatures across the constituting modules and control them at one of its end? Inspired by the observation of protofilament - constituent biopolymer of microtubule - this question is addressed by a constructive approach. In our model a simple allosteric element in each module couples with the neighboring modules at its interfaces, which gives rise to a single degree of freedom to control the global shape of the filament. The model can be analyzed in analogy with discrete-time dynamical systems having a bifurcation of trans-critical type.

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Ken Sekimoto. 2024-07-15. Allosteric propagation of curvature along filament. https://arxiv.org/abs/2407.10826

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