RT Journal Article T1 Inhomogeneous Canham–Helfrich abscission in catenoid necks under critical membrane mosaicity A1 Santiago, José Antonio A1 Monroy Muñoz, Francisco AB The mechanical effects of membrane compositional inhomogeneities are analyzed in a process analogous to 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 of necking forces 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 contributes to the membrane scission under minimized work in living cells. PB MDPI YR 2023 FD 2023-09-14 LK https://hdl.handle.net/20.500.14352/103758 UL https://hdl.handle.net/20.500.14352/103758 LA eng NO Santiago, J.A.; Monroy, F. Inhomogeneous Canham–Helfrich Abscission in Catenoid Necks under Critical Membrane Mosaicity. Membranes 2023, 13, 796. https://doi.org/10.3390/membranes13090796 NO 2023 Descuentos MDPI NO Consejo Nacional de Ciencia y Tecnología (México) NO Ministerio de Ciencia e Innovación (España) NO Comunidad de Madrid NO European Commission DS Docta Complutense RD 1 nov 2025