Santiago, J.A.; Monroy, F. Inhomogeneous Canham–Helfrich Abscission in Catenoid Necks under Critical Membrane Mosaicity. Membranes2023, 13, 796.
Santiago, J.A.; Monroy, F. Inhomogeneous Canham–Helfrich Abscission in Catenoid Necks under Critical Membrane Mosaicity. Membranes 2023, 13, 796.
Santiago, J.A.; Monroy, F. Inhomogeneous Canham–Helfrich Abscission in Catenoid Necks under Critical Membrane Mosaicity. Membranes2023, 13, 796.
Santiago, J.A.; Monroy, F. Inhomogeneous Canham–Helfrich Abscission in Catenoid Necks under Critical Membrane Mosaicity. Membranes 2023, 13, 796.
Abstract
The mechanical effects of membrane compositional inhomogeneities are analyzed in a process analogous of neck formation in cellular membranes. We cast on the Canham-Helfrich model of fluid membranes with both the spontaneous curvature and the surface tension being non-homogeneous functions along the cell membrane. The inhomogeneous distribution is determined by the equilibrium mechanical equations and the boundary conditions as considered in the axisymmetric setting compatible with the necking process. To establish the role played by mechanical inhomogeneity, we focus on the catenoid, a surface of zero mean curvature. Analytic solutions are shown to exist for the spontaneous curvature and the constrictive forces in terms of the border-radii. Our theoretical analysis shows that the inhomogeneous distribution of spontaneous curvature in a mosaic-like neck constrictional forces potentially contributing to the membrane scission under minimized work in living cells.
Keywords
inhomogeneous spontaneous curvature; catenoidal necks; stress on curved fluid membranes
Subject
Physical Sciences, Biophysics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
