Thermodynamic equilibrium of binary mixtures on curved surfaces

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

doi:10.1103/physreve.100.032604

Cited by 9 publications

(19 citation statements)

References 66 publications

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“…In ref. 33 we had theoretically predicted this scenario with the help of a phase-field model featuring explicit couplings between the lipid chemical compositions and geometry. In the following, we will explain how this approach can elucidate the observed gaps in the experimental phase diagram in the tractable case of a binary mixture, i.e.…”

Section: Resultsmentioning

confidence: 99%

“…As we demonstrated in ref. 33 , for this choice of parameters, Eq. (2) converges to the classical Jülicher-Lipowsky free energy, namely:…”

Section: Resultsmentioning

confidence: 99%

“…4b ). It is possible to prove that these states are stable against phase separation, and thus are true minima of the free energy 33 .

Fig.…”

Section: Resultsmentioning

confidence: 99%

“…Furthermore. the unique combination of closeness and fixed geometry gives rise to antimixing 33 , where lipids segregate in a state, which is continuously connected to a purely mixed phase. This phenomenon is similar in nature to the predicted behaviour of multicomponent lipid membranes on patterned adhesion substrates 38 .…”

Section: Discussionmentioning

confidence: 99%

“…In our case the source of inhomogeneity is provided by curvature, and extends the notion of curvature-driven sorting 15 to membranes with subdomains lying on antipodal sides of local miscibility gaps, from which antimixing takes its name. Using previously developed theoretical tools 33 , we show how the antimixed state can be explained, qualitatively, by a strong influence of curvature on the thermodynamic equilibrium landscape of the lipid mixtures.…”

Section: Discussionmentioning

confidence: 99%

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Geometric pinning and antimixing in scaffolded lipid vesicles

et al. 2020

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Previous studies on the phase behaviour of multicomponent lipid bilayers found an intricate interplay between membrane geometry and its composition, but a fundamental understanding of curvature-induced effects remains elusive. Thanks to a combination of experiments on lipid vesicles supported by colloidal scaffolds and theoretical work, we demonstrate that the local geometry and global chemical composition of the bilayer determine both the spatial arrangement and the amount of mixing of the lipids. In the mixed phase, a strong geometrical anisotropy can give rise to an antimixed state, where the lipids are mixed, but their relative concentration varies across the membrane. After phase separation, the bilayer organizes in multiple lipid domains, whose location is pinned in specific regions, depending on the substrate curvature and the bending rigidity of the lipid domains. Our results provide critical insights into the phase separation of cellular membranes and, more generally, twodimensional fluids on curved substrates.

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Section: Resultsmentioning

confidence: 99%

“…As we demonstrated in ref. 33 , for this choice of parameters, Eq. (2) converges to the classical Jülicher-Lipowsky free energy, namely:…”

Section: Resultsmentioning

confidence: 99%

“…4b ). It is possible to prove that these states are stable against phase separation, and thus are true minima of the free energy 33 .

Fig.…”

Section: Resultsmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

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Geometric pinning and antimixing in scaffolded lipid vesicles

et al. 2020

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Superelasticity of Plasma‐ and Synthetic Membranes Resulting from Coupling of Membrane Asymmetry, Curvature, and Lipid Sorting

et al. 2021

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Biological cells are contained by a fluid lipid bilayer (plasma membrane, PM) that allows for large deformations, often exceeding 50% of the apparent initial PM area. Isolated lipids self‐organize into membranes, but are prone to rupture at small (<2–4%) area strains, which limits progress for synthetic reconstitution of cellular features. Here, it is shown that by preserving PM structure and composition during isolation from cells, vesicles with cell‐like elasticity can be obtained. It is found that these plasma membrane vesicles store significant area in the form of nanotubes in their lumen. These act as lipid reservoirs and are recruited by mechanical tension applied to the outer vesicle membrane. Both in experiment and theory, it is shown that a “superelastic” response emerges from the interplay of lipid domains and membrane curvature. This finding allows for bottom‐up engineering of synthetic biomaterials that appear one magnitude softer and with threefold larger deformability than conventional lipid vesicles. These results open a path toward designing superelastic synthetic cells possessing the inherent mechanics of biological cells.

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Derivation and simulation of a two-phase fluid deformable surface model

Bachini,

Krause,

Nitschke

et al. 2023

J. Fluid Mech.

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To explore the impact of surface viscosity on coexisting fluid domains in biomembranes we consider two-phase fluid deformable surfaces as model systems for biomembranes. Such surfaces are modelled by incompressible surface Navier–Stokes–Cahn–Hilliard-like equations with bending forces. We derive this model using the Lagrange–d’Alembert principle considering various dissipation mechanisms. The highly nonlinear model is solved numerically to explore the tight interplay between surface evolution, surface phase composition, surface curvature and surface hydrodynamics. It is demonstrated that hydrodynamics can enhance bulging and furrow formation, which both can further develop to pinch-offs. The numerical approach builds on a Taylor–Hood element for the surface Navier–Stokes part, a semi-implicit approach for the Cahn–Hilliard part, higher-order surface parametrizations, appropriate approximations of the geometric quantities, and mesh redistribution. We demonstrate convergence properties that are known to be optimal for simplified subproblems.

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Thermodynamic equilibrium of binary mixtures on curved surfaces

Cited by 9 publications

References 66 publications

Geometric pinning and antimixing in scaffolded lipid vesicles

Geometric pinning and antimixing in scaffolded lipid vesicles

Superelasticity of Plasma‐ and Synthetic Membranes Resulting from Coupling of Membrane Asymmetry, Curvature, and Lipid Sorting

Derivation and simulation of a two-phase fluid deformable surface model

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