On Gaussian Curvature and Membrane Fission

Overview

Journal Sci Rep

Specialty Science

Date 2021 May 6

PMID 33953263

Citations 3

Authors

Mara Denisse Rueda-Contreras

Andreu F Gallen

J Roberto Romero-Arias

Aurora Hernandez-Machado

Rafael A Barrio

Affiliations

Soon will be listed here.

Abstract

We propose a three-dimensional mathematical model to describe dynamical processes of membrane fission. The model is based on a phase field equation that includes the Gaussian curvature contribution to the bending energy. With the addition of the Gaussian curvature energy term numerical simulations agree with the predictions that tubular shapes can break down into multiple vesicles. A dispersion relation obtained with linear analysis predicts the wavelength of the instability and the number of formed vesicles. Finally, a membrane shape diagram is obtained for the different Gaussian and bending modulus, showing different shape regimes.

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