Lázaro, Guillermo R.Pagonabarraga Mora, IgnacioHernández Machado, Aurora2018-10-232018-10-232017-03-241292-8941https://hdl.handle.net/2445/125550Phase-field models have been extensively used to study interfacial phenomena, from solidification to vesicle dynamics. In this article, we analyze a phase-field model that captures the relevant physical features that characterize biological membranes. We show that the Helfrich theory of elasticity of membranes can be applied to phase-field models, allowing to derive the expressions of the stress tensor, lateral stress profile and elastic moduli. We discuss the relevance and interpretations of these magnitudes from a phase-field perspective. Taking the sharp-interface limit we show that the membrane macroscopic equilibrium equation can be derived from the equilibrium condition of the phase-field interface. We also study two dynamic models that describe the behaviour of a membrane. From the study of the relaxational behaviour of the membrane we characterize the relevant dynamics of each model, and discuss their applications.15 p.application/pdfengcc-by (c) Lazaro, Guillermo R. et al., 2017http://creativecommons.org/licenses/by/3.0/esMatèria condensada tovaQuímica supramolecularMembranes (Biologia)Soft condensed matterSupramolecular chemistryMembranes (Biology)info:eu-repo/semantics/article6788232018-10-23info:eu-repo/semantics/openAccess28917028