Allosteric propagation of curvature along filament
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.
- Publication:
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arXiv e-prints
- Pub Date:
- July 2024
- DOI:
- 10.48550/arXiv.2407.10826
- arXiv:
- arXiv:2407.10826
- Bibcode:
- 2024arXiv240710826S
- Keywords:
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- Physics - Classical Physics;
- Physics - Biological Physics
- E-Print:
- 4 pages, 4 figures