Treadmilling stability of a one-dimensional actin growth model
Name
1Dgrowth.pdf
Description
Accepted version
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841.16 KB
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Author(s)
Abeyaratne, Rohan
Puntel, Eric
Tomassetti, Giuseppe
Date Issued
August 2020
Journal
International Journal of Solids and Structures
Publisher
Elsevier BV
Citation
Abeyaratne, Rohan et al. "Treadmilling stability of a one-dimensional actin growth model." International Journal of Solids and Structures 198 (August 2020): 87-98 © 2020 Elsevier Ltd
Version
Author's final manuscript
Abstract
Actin growth is a fundamental biophysical process and it is, at the same
time, a prototypical example of diffusion-mediated surface growth. We formulate
a coupled chemo-mechanical, one-dimensional growth model encompassing both
material accretion and ablation. A solid bar composed of bound actin monomers
is fixed at one end and connected to an elastic device at the other. This
spring-like device could, for example, be the cantilever tip of an atomic force
microscope. The compressive force applied by the spring on the bar increases as
the solid grows and affects the rate of growth. The mechanical behaviour of the
bar, the diffusion of free actin monomers in a surrounding solvent and the
kinetic growth laws at the accreting/ablating ends are accounted for. The
constitutive response of actin is modeled by a convex but otherwise arbitrary
elastic strain energy density function. Treadmilling solutions, characterized
by a constant length of the continuously evolving body, are investigated.
Existence and stability results are condensed in the form of simple formulas
and their physical implications are discussed.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
Terms of Use
Creative Commons Attribution-NonCommercial-NoDerivs License
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1016/j.ijsolstr.2020.04.009
