ArticleThe European physical journal. E, Soft matter2011
Membrane stress tensor in the presence of lipid density and composition inhomogeneities.
Article in The European physical journal. E, Soft matter, 2011. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.
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2 citing papers in PubMed.
- Relaxation dynamics of two-component fluid bilayer membranes.The European physical journal. E, Soft matter · 2016Article
- Bilayer elasticity at the nanoscale: the need for new terms.PloS one · 2012Article
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3 authors.
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Abstract
We derive the expression of the stress tensor for one- and two-component lipid membranes with density and composition inhomogeneities. We first express the membrane stress tensor as a function of the free-energy density by means of the principle of virtual work. We then apply this general result to a monolayer model which is shown to be a local version of the area-difference elasticity (ADE) model. The resulting stress tensor expression generalizes the one associated with the Helfrich model, and can be specialized to obtain the one associated with the ADE model. Our stress tensor directly gives the force exchanged through a boundary in a monolayer with density and composition inhomogeneities. Besides, it yields the force density, which is also directly obtained in covariant formalism. We apply our results to study the forces induced in a membrane by a local perturbation.
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