Seeing the Forest in Lieu of the Trees

Sapp, Kayla; Shlomovitz, Roie; Maibaum, Lutz

doi:10.1016/b978-0-444-63378-1.00003-3

Cited by 10 publications

(10 citation statements)

References 63 publications

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“…To do that we have to consider two modifications to this equation [34]. First, we must limit ourselves to a finite basis set, which we do by considering only wavevectors k with | p | ≤ P and | q | ≤ Q .…”

Section: The Modelmentioning

confidence: 99%

“…Unlike some previous work [30, 31, 35, 36], our approach does allow the imaginary part of the Fourier coefficients at the Nyquist modes to be non-zero, thereby preserving translational invariance even for those high-wavevector modes [34]. …”

Section: The Modelmentioning

confidence: 99%

“…The last part of (10) is a stochastic noise term. Its real and imaginary parts have mean zero and satisfy the Fluctuation-Dissipation relationships [34]…”

Section: The Modelmentioning

confidence: 99%

“…This expression is the variance of a multivariate Gaussian probability distribution. Here we explain in detail how we computed this variance numerically. We begin by enumerating the independent real-valued degrees of freedom [34]. We do so by choosing the following ordering of the real and imaginary parts of the membrane Fourier modes: Re h̃ 1,0 , Im h̃ 1,0 , .…”

mentioning

confidence: 99%

“…We begin by enumerating the independent real-valued degrees of freedom [34]. We do so by choosing the following ordering of the real and imaginary parts of the membrane Fourier modes: Re h̃ 1,0 , Im h̃ 1,0 , .…”

mentioning

confidence: 99%

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Suppressing membrane height fluctuations leads to a membrane-mediated interaction among proteins

Sapp

Maibaum

2016

Phys. Rev. E

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Membrane-induced interactions can play a significant role in the spatial distribution of membrane-bound proteins. We develop a model that combines a continuum description of lipid bilayers with a discrete particle model of proteins to probe the emerging structure of the combined membrane-protein system. Our model takes into account the membrane’s elastic behavior, the steric repulsion between proteins, and the quenching of membrane shape fluctuations due to the presence of the proteins. We employ coupled Langevin equations to describe the dynamics of the system. We show that coupling to the membrane induces an attractive interaction among proteins, which may contribute to the clustering of proteins in biological membranes. We investigate the lateral protein diffusion and find that it is reduced due to transient fluctuations in membrane shape.

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Section: The Modelmentioning

confidence: 99%

Section: The Modelmentioning

confidence: 99%

“…The last part of (10) is a stochastic noise term. Its real and imaginary parts have mean zero and satisfy the Fluctuation-Dissipation relationships [34]…”

Section: The Modelmentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

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Suppressing membrane height fluctuations leads to a membrane-mediated interaction among proteins

Sapp

Maibaum

2016

Phys. Rev. E

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Tuning Length Scales of Small Domains in Cell-Derived Membranes and Synthetic Model Membranes

Cornell

Skinkle

et al. 2018

Biophysical Journal

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Micron-scale, coexisting liquid-ordered (L) and liquid-disordered (L) phases are straightforward to observe in giant unilamellar vesicles (GUVs) composed of ternary lipid mixtures. Experimentally, uniform membranes undergo demixing when temperature is decreased: domains subsequently nucleate, diffuse, collide, and coalesce until only one domain of each phase remains. The sizes of these two domains are limited only by the size of the system. Under different conditions, vesicles exhibit smaller-scale domains of fixed sizes, leading to the question of what sets the length scale. In membranes with excess area, small domains are expected when coarsening is hindered or when a microemulsion or modulated phase arises. Here, we test predictions of how the size, morphology, and fluorescence levels of small domains vary with the membrane's temperature, tension, and composition. Using GUVs and cell-derived giant plasma membrane vesicles, we find that 1) the characteristic size of domains decreases when temperature is increased or membrane tension is decreased, 2) stripes are favored over circular domains for lipid compositions with low energy per unit interface, 3) fluorescence levels are consistent with domain registration across both monolayer leaflets of the bilayer, and 4) small domains form in GUVs composed of lipids both with and without ester-linked lipids. Our experimental results are consistent with several elements of current theories for microemulsions and modulated phases and inconsistent with others, suggesting a motivation to modify or enhance current theories.

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Relating the structure factors of two-dimensional materials in planar and spherical geometries

Luo

Maibaum

2018

Soft Matter

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Scattering structure factors provide essential insight into material properties and are routinely obtained in experiments, computer simulations, and theoretical analyses. Different approaches favor different geometries of the material. In case of lipid bilayers, scattering experiments can be performed on spherical vesicles, while simulations and theory often consider planar membrane patches. We derive an approximate relationship between the structure functions of such a material in planar and spherical geometries. We illustrate the usefulness of this relationship in a case study of a Gaussian material that supports both homogeneous and microemulsion phases. Within its range of applicability, this relationship enables a model-free comparison of structure factors of the same material in different geometries.

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Seeing the Forest in Lieu of the Trees

Cited by 10 publications

References 63 publications

Suppressing membrane height fluctuations leads to a membrane-mediated interaction among proteins

Suppressing membrane height fluctuations leads to a membrane-mediated interaction among proteins

Tuning Length Scales of Small Domains in Cell-Derived Membranes and Synthetic Model Membranes

Relating the structure factors of two-dimensional materials in planar and spherical geometries

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