Discrete Harmonic Model for Stacked Membranes: Theory and Experiment

Lei, Ning; Safinya, Cyrus R.; Bruinsma, Robijn

doi:10.1051/jp2:1995174

Cited by 69 publications

(105 citation statements)

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“…Within the framework of a continuum model approximation, the total free energy of membrane stacks can be described using the discrete smectic Hamiltonian 22 H,…”

Section: Full Calculation Of Scattering Signalsmentioning

confidence: 99%

“…19,22 This sets an upper limit on the wavelength of the membrane fluctuations, which corresponds to the sample size. The Bragg sheet is represented by profiles of (i) the Γ-integrated Bragg sheet intensity and (ii) the Γ width of the sheets.…”

Section: Full Calculation Of Scattering Signalsmentioning

confidence: 99%

“…Electronic addresses: ayamamoto@icems.kyoto-u.ac.jp and tanaka@uni-heidelberg.de protectors to sustain the structural integrity as well as specific ligands for proteins and complementary saccharides, 17,18 we have previously proposed more realistic model systems based on synthetic and natural glycolipids. [19][20][21] We demonstrated that the introduction of finite size effects, the so-called "cut-off radius," 22 allows full calculation of the scattering functions in reciprocal space and quantification of the vertical compression modulus B and the bending rigidity κ of the membranes. We reported that small changes in the molecular structures of the saccharide chains, such as the position and stereochemistry of the glycosidic bonds, significantly influence the mechanical properties of its membrane multilayer.…”

Section: Introductionmentioning

confidence: 99%

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Influence of length and conformation of saccharide head groups on the mechanics of glycolipid membranes: Unraveled by off-specular neutron scattering

Yamamoto

Abuillan

Burk

et al. 2015

The Journal of Chemical Physics

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The mechanical properties of multilayer stacks of Gb3 glycolipid that play key roles in metabolic disorders (Fabry disease) were determined quantitatively by using specular and off-specular neutron scattering. Because of the geometry of membrane stacks deposited on planar substrates, the scattered intensity profile was analyzed in a 2D reciprocal space map as a function of in-plane and out-of-plane scattering vector components. The two principal mechanical parameters of the membranes, namely, bending rigidity and compression modulus, can be quantified by full calculation of scattering functions with the aid of an effective cut-off radius that takes the finite sample size into consideration. The bulkier “bent” Gb3 trisaccharide group makes the membrane mechanics distinctly different from cylindrical disaccharide (lactose) head groups and shorter “bent” disaccharide (gentiobiose) head groups. The mechanical characterization of membranes enriched with complex glycolipids has high importance in understanding the mechanisms of diseases such as sphingolipidoses caused by the accumulation of non-degenerated glycosphingolipids in lysosomes or inhibition of protein synthesis triggered by the specific binding of Shiga toxin to Gb3.

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“…Within the framework of a continuum model approximation, the total free energy of membrane stacks can be described using the discrete smectic Hamiltonian 22 H,…”

Section: Full Calculation Of Scattering Signalsmentioning

confidence: 99%

Section: Full Calculation Of Scattering Signalsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Influence of length and conformation of saccharide head groups on the mechanics of glycolipid membranes: Unraveled by off-specular neutron scattering

Yamamoto

Abuillan

Burk

et al. 2015

The Journal of Chemical Physics

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“…The system has a relatively high degree of order, but thermal fluctuations and membrane defects are still prominent. According to the simplest elastic model, [74] the free energy of a lamellar stack is given by…”

Section: Self-assembly and Mesoscale Structurementioning

confidence: 99%

Toy amphiphiles on the computer: What can we learn from generic models?

Schmid

2009

Macromol. Rapid Commun.

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Summary:Generic coarse-grained models are designed such that they are (i) simple and (ii) computationally efficient. They do not aim at representing particular materials, but classes of materials, hence they can offer insight into universal properties. Here we review generic models for amphiphilic molecules and discuss applications in studies of self-assembling nanostructures and the local structure of bilayer membranes, i. e., their phases and their interactions with nanosized inclusions. Special attention is given to the comparison of simulations with elastic continuum models, which are, in some sense, generic models on a higher coarse-graining level. In many cases, it is possible to bridge quantitatively between generic particle models and continuum models, hence multiscale modeling works on principle. On the other side, generic simulations can help to interpret experiments by providing information that is not accessible otherwise.

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“…A recent experiment (24) reported an inelastic neutron scattering study where the dispersion relation of the mesoscopic fluctuation was determined by the neutron spin echo technique. According to linear smectic elasticity theory (25,26) thermal fluctuations in the fluid phase of the membranes are governed by the free energy functional (Hamiltonian) (25,26,27)…”

Section: Introductionmentioning

confidence: 99%

Atomic force microscopy study of thick lamellar stacks of phospholipid bilayers

2008

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We report an Atomic Force Microscopy (AFM) study on thick multi lamellar stacks of approx. 10 µm thickness (about 1500 stacked membranes) of DMPC (1,2-dimyristoyl-sn-glycero-3-phoshatidylcholine) deposited on silicon wafers. These thick stacks could be stabilized for measurements under excess water or solution. From force curves we determine the compressional modulus B and the rupture force F r of the bilayers in the gel (ripple), the fluid phase and in the range of critical swelling close to the main transition. AFM allows to measure the compressional modulus of stacked membrane systems and values for B compare well to values reported in the literature. We observe pronounced ripples on the top layer in the P β ′ (ripple) phase and find an increasing ripple period Λ r when approaching the temperature of the main phase transition into the fluid L α phase at about 24 • C. Metastable ripples with 2Λ r are observed. Λ r also increases with increasing osmotic pressure, i.e., for different concentrations of polyethylene glycol (PEG).

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Discrete Harmonic Model for Stacked Membranes: Theory and Experiment

Cited by 69 publications

References 0 publications

Influence of length and conformation of saccharide head groups on the mechanics of glycolipid membranes: Unraveled by off-specular neutron scattering

Influence of length and conformation of saccharide head groups on the mechanics of glycolipid membranes: Unraveled by off-specular neutron scattering

Toy amphiphiles on the computer: What can we learn from generic models?

Atomic force microscopy study of thick lamellar stacks of phospholipid bilayers

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