Mechanical Properties of Bilayer Lipid Membranes and Protein–Lipid Interactions

Hianik, Tibor

doi:10.1016/b978-0-12-387721-5.00002-x

Cited by 13 publications

(14 citation statements)

References 102 publications

(144 reference statements)

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“…We also note here that parameters (e.g. λ , 0.25em k and σ ) in the simulations are normalized unless otherwise mentioned and the adopted material properties of a membrane are consistent with the experimental results given in [14, 15] for a lipid membrane of thickness 10 nm in a relaxed state (i.e. k = 82 × 1 0 − 9 0.25em normalN bold⋅ normalmm , false k ¯ = 0 ).…”

Section: Membrane–substrate Interaction Problems With a Circular Ssupporting

confidence: 76%

Notes on superposed incremental deformations in the mechanics of lipid membranes

Zeidi

2017

Mathematics and Mechanics of Solids

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We present an analysis of the superposed incremental deformations of lipid membranes in contact with a circular substrate. A complete analytical solution describing the morphological transitions of lipid membranes is obtained via Monge parametric representation and admissible linearization. The corresponding solution demonstrates smooth and bounded behavior within the finite domain of interest (annular) and, more importantly, shows excellent stability as it approaches the boundary of the circular substrate with the radius of convergence compatible with a few nanometers. Under the prescription of the superposed incremental deformations, a complete analysis of the necessary boundary conditions, the anchoring condition of the lipid molecules on an edge, and other geometrical quantities of the membrane is illustrated for the case of the circular substrate–membrane system.

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Section: Membrane–substrate Interaction Problems With a Circular Ssupporting

confidence: 76%

Notes on superposed incremental deformations in the mechanics of lipid membranes

Zeidi

2017

Mathematics and Mechanics of Solids

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“…The mechanical and electrical properties of a lipid bilayer [1,7–12] play an important role in many processes of the cell [1,13–17]. In experimental systems, the membrane lipid bilayer is usually in contact with an electrolyte solution composed of water molecules and positively and negatively charged salt ions [13,14].…”

Section: Introductionmentioning

confidence: 99%

Interaction between Dipolar Lipid Headgroups and Charged Nanoparticles Mediated by Water Dipoles and Ions

Velikonja¹,

Santhosh

Gongadze

et al. 2013

IJMS

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In this work, a theoretical model describing the interaction between a positively or negatively charged nanoparticle and neutral zwitterionic lipid bilayers is presented. It is shown that in the close vicinity of the positively charged nanoparticle, the zwitterionic lipid headgroups are less extended in the direction perpendicular to the membrane surface, while in the vicinity of the negatively charged nanoparticle, the headgroups are more extended. This result coincides with the calculated increase in the osmotic pressure between the zwitterionic lipid surface and positively charged nanoparticle and the decrease of osmotic pressure between the zwitterionic lipid surface and the negatively charged nanoparticle. Our theoretical predictions agree well with the experimentally determined fluidity of a lipid bilayer membrane in contact with positively or negatively charged nanoparticles. The prospective significance of the present work is mainly to contribute to better understanding of the interactions of charged nanoparticles with a zwitterionic lipid bilayer, which may be important in the efficient design of the lipid/nanoparticle nanostructures (like liposomes with encapsulated nanoparticles), which have diverse biomedical applications, including targeted therapy (drug delivery) and imaging of cancer cells.

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“…An oft-stated assumption in most PB models is that the relative permittivity in the electrolyte is constant (McLaughlin 1989; Cevc 1990; Hianik and Passechnik 1995; Lamperski and Outhwaite 2002; Butt et al 2003). But actually, close to the charged surface the water dipoles cannot move as freely as further away from it.…”

Section: Introductionmentioning

confidence: 99%

Spatial variation of permittivity of an electrolyte solution in contact with a charged metal surface: a mini review

Gongadze

Rienen

Kralj‐Iglič

et al. 2013

Computer Methods in Biomechanics and Biomedical Engineering

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Contact between a charged metal surface and an electrolyte implies a particular ion distribution near the charged surface, i.e. the electrical double layer. In this mini review, different mean-field models of relative (effective) permittivity are described within a simple lattice model, where the orientational ordering of water dipoles in the saturation regime is taken into account. The Langevin-Poisson-Boltzmann (LPB) model of spatial variation of the relative permittivity for point-like ions is described and compared to a more general Langevin-Bikerman (LB) model of spatial variation of permittivity for finite-sized ions. The Bikerman model and the Poisson-Boltzmann model are derived as limiting cases. It is shown that near the charged surface, the relative permittivity decreases due to depletion of water molecules (volume-excluded effect) and orientational ordering of water dipoles (saturation effect). At the end, the LPB and LB models are generalised by also taking into account the cavity field.

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Mechanical Properties of Bilayer Lipid Membranes and Protein–Lipid Interactions

Cited by 13 publications

References 102 publications

Notes on superposed incremental deformations in the mechanics of lipid membranes

Notes on superposed incremental deformations in the mechanics of lipid membranes

Interaction between Dipolar Lipid Headgroups and Charged Nanoparticles Mediated by Water Dipoles and Ions

Spatial variation of permittivity of an electrolyte solution in contact with a charged metal surface: a mini review

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