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Updated: Aug 8, 2026

Phase Behavior of Charged Vesicles Under Symmetric and Asymmetric Solution Conditions Monitored with Fluorescence Microscopy
Published on: October 24, 2017
Dynamic model and stationary shapes of fluid vesicles
F Campelo1, A Hernández-Machado
1Departament d'Estructura i Constituents de la Matèria, Facultat de Fisica, Universitat de Barcelona, Diagonal 647, E-08028, Barcelona, Spain. campelo@ecm.ub.es
Abstract:
A phase-field model that takes into account the bending energy of fluid vesicles is presented. The Canham-Helfrich model is derived in the sharp-interface limit. A dynamic equation for the phase-field has been solved numerically to find stationary shapes of vesicles with different topologies and the dynamic evolution towards them. The results are in agreement with those found by minimization of the Canham-Helfrich free energy. This fact shows that our phase-field model could be applied to more complex problems of instabilities.
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