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Soft Matter Emerging Investigators Issue 2021 Diffuso-kinetic membrane budding dynamics

Abstract

A wide range of proteins are known to create shape transformations of biological membranes, where the remodelling is a coupling between the energetic costs from deforming the membrane, the recruitment of proteins that induce a local spontaneous curvature C0 and the proteins diffusion along the membrane. We propose a minimal mathematical model that accounts for these processes to describe the diffuso-kinetic dynamics of membrane budding processes. By deploying numerical simulations we map out the membrane shapes, the time for vesicle formation and the vesicle size as a function of the dimensionless kinetic recruitment parameter K1 and the proteins sensitivity to mean curvature. We derive a time for scission that follows a power law ∽K1-2/3, a consequence of the interplay between the spreading of proteins by diffusion and the kinetic-limited increase of the protein density on the membrane. We also find a scaling law for the vesicle size ∽ 1/σav C0, with σav the average protein density in the vesicle, which is confirmed in the numerical simulations. Rescaling all the membrane profiles at the time of vesicle formation highlights that the membrane adopts a self-similar shape.

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Supplementary files

Article information


Submitted
02 Jun 2020
Accepted
12 Oct 2020
First published
14 Oct 2020

Soft Matter, 2020, Accepted Manuscript
Article type
Paper

Soft Matter Emerging Investigators Issue 2021 Diffuso-kinetic membrane budding dynamics

R. Rojas Molina, S. Liese, H. Alimohamadi, P. Rangamani and A. Carlson, Soft Matter, 2020, Accepted Manuscript , DOI: 10.1039/D0SM01028F

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