2016
DOI: 10.1007/s00332-016-9303-z
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Domain Formation in Membranes Near the Onset of Instability

Abstract: The formation of microdomains, also called rafts, in biomembranes can be attributed to the surface tension of the membrane. In order to model this phenomenon, a model involving a coupling between the local composition and the local curvature was proposed by Seul and Andelman in 1995. In addition to the familiar Cahn-Hilliard/Modica-Mortola energy, there are additional 'forces' that prevent large domains of homogeneous concentration. This is taken into account by the bending energy of the membrane, which is cou… Show more

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Cited by 12 publications
(22 citation statements)
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“…The perturbed equations for the volume and mean concentration constraints become Formally considering R → ∞ we obtain the approximation in the case Γ 0 is a plane. This is in agreement with the linearisation outlined in [14,18] and the energy used in [2,26,29,30,37].…”
Section: Phase Field Interactionsupporting
confidence: 89%
See 1 more Smart Citation
“…The perturbed equations for the volume and mean concentration constraints become Formally considering R → ∞ we obtain the approximation in the case Γ 0 is a plane. This is in agreement with the linearisation outlined in [14,18] and the energy used in [2,26,29,30,37].…”
Section: Phase Field Interactionsupporting
confidence: 89%
“…The energy (3.3) with appropriate perturbations is systematically studied in [14] in the case of point constraints arising from attachments of the membrane to proteins modelled as points. A phase field perturbation is studied in [18].…”
Section: Perturbation Models Of Critical Pointsmentioning
confidence: 99%
“…We note that formally taking R → ∞ in (3.22) we obtain the approximation given in [25] and more recently considered in [19] for a flat domain. It is this energy which we will study in the remainder of the paper.…”
Section: Derivation Of Modelmentioning
confidence: 66%
“…This differs from our work which is for two-dimensional approximately spherical surfaces. Our work also differs from that of Fonseca et al in [21], who focus on surface tension effects and consider Γ−convergence of an approximately planar surface but for a different parameter regime.…”
Section: Introductionmentioning
confidence: 85%