Geometric pinning and antimixing in scaffolded lipid vesicles

Rinaldin, Melissa; Fonda, Piermarco; Giomi, Luca; Kraft, Daniela J.

doi:10.48550/arxiv.1804.08596

Cited by 7 publications

(46 citation statements)

References 21 publications

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“…Conversely, experiments with SLBs on corrugated glass [16] and flat substrates with hemispherical asperities [17,18] have shown that the LD domains are consistently geometrically pinned to regions of high mean curvature. This pinning was also observed in experiments with SLVs of symmetric and asymmetric dumbbells [19] albeit only for LD domains relatively small compared to the total vesicle size. Even more remarkably, the most common configurations observed in anisotropic SLVs, featured antimixing: i.e.…”

Section: Introductionsupporting

confidence: 72%

“…In this paper, we analyse the effect of local lipid exchange and compare our results with our previous work on SLVs [19]. We emphasize that, while at the scale of a single colloid there is exchange of lipids with the substrate, at the scale of the entire system the total amount of lipids is fixed.…”

Section: Introductionmentioning

confidence: 87%

“…Even more remarkably, the most common configurations observed in anisotropic SLVs, featured antimixing: i.e. a state in which the lipids are mixed and yet strongly partitioned on regions with different curvature [19,25]. Further numerical studies [25,26] have shown that such a behaviour depends crucially on whether the membrane is open or closed, i.e.…”

Section: Introductionmentioning

confidence: 99%

“…Experimental evidence of this phenomenon has been obtained in experiments with giant unilamellar vesicles (GUVs) [10][11][12][13][14][15], with supported lipid bilayers (SLBs) on patterned substrates [16][17][18] and, most recently, on scaffolded lipid vesicles (SLVs), i.e. membrane-coated colloidal particles [19]. While GUVs can change shape during the phase separation process, SLBs and SLVs are scaffolded.…”

Section: Introductionmentioning

confidence: 99%

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Lipid exchange enhances geometric pinning in multicomponent membranes on patterned substrates

et al. 2020

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Section: Introductionsupporting

confidence: 72%

Section: Introductionmentioning

confidence: 87%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Lipid exchange enhances geometric pinning in multicomponent membranes on patterned substrates

et al. 2020

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“…Experimental results on artificial membranes have shown there exists a correlation between the composition of the different phases and the local membrane curvature [6,29,27,23]. Proteins are both able to sense whether the local environment matches their curvature preference, as well as in large enough numbers induce that curvature upon the membrane [8].…”

mentioning

confidence: 99%

Domain formation via phase separation for spherical biomembranes with small deformations

Elliott¹,

Hatcher²

2020

Eur. J. Appl. Math

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We derive and analyse an energy to model lipid raft formation on biological membranes involving a coupling between the local mean curvature and the local composition. We apply a perturbation method recently introduced by Fritz, Hobbs and the first author to describe the geometry of the surface as a graph over an undeformed Helfrich energy minimising surface. The result is a surface Cahn–Hilliard functional coupled with a small deformation energy. We show that suitable minimisers of this energy exist and consider a gradient flow with conserved Allen–Cahn dynamics, for which existence and uniqueness results are proven. Finally, numerical simulations show that for the long-time behaviour raft-like structures can emerge and stabilise, and their parameter dependence is further explored.

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Thermodynamic equilibrium of binary mixtures on curved surfaces

et al. 2019

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We study the global influence of curvature on the free energy landscape of two-dimensional binary mixtures confined on closed surfaces. Starting from a generic effective free energy, constructed on the basis of symmetry considerations and conservation laws, we identify several model-independent phenomena, such as a curvature-dependent line tension and local shifts in the binodal concentrations. To shed light on the origin of the phenomenological parameters appearing in the effective free energy, we further construct a lattice-gas model of binary mixtures on non-trivial substrates, based on the curved-space generalization of the two-dimensional Ising model. This allows us to decompose the interaction between the local concentration of the mixture and the substrate curvature into four distinct contributions, as a result of which the phase diagram splits into critical sub-diagrams. The resulting free energy landscape can admit, as stable equilibria, strongly inhomogeneous mixed phases, which we refer to as "antimixed" states below the critical temperature. We corroborate our semi-analytical findings with phase-field numerical simulations on realistic curved lattices. Despite this work being primarily motivated by recent experimental observations of multi-component lipid vesicles supported by colloidal scaffolds, our results are applicable to any binary mixture confined on closed surface of arbitrary geometry.

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Geometric pinning and antimixing in scaffolded lipid vesicles

Cited by 7 publications

References 21 publications

Lipid exchange enhances geometric pinning in multicomponent membranes on patterned substrates

Lipid exchange enhances geometric pinning in multicomponent membranes on patterned substrates

Domain formation via phase separation for spherical biomembranes with small deformations

Thermodynamic equilibrium of binary mixtures on curved surfaces

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