Limits...
Poisson's Ratio and Young's Modulus of Lipid Bilayers in Different Phases.

Jadidi T, Seyyed-Allaei H, Tabar MR, Mashaghi A - Front Bioeng Biotechnol (2014)

Bottom Line: As an example for the coarse grained lipid model introduced by Lenz and Schmid, we calculate the Poisson's ratio in the gel, fluid, and interdigitated phases.Having the Poisson's ratio, enable us to obtain the Young's modulus for the membranes in different phases.The approach may be applied to other membranes such as graphene and tethered membranes in order to predict the temperature dependence of its Poisson's ratio and Young's modulus.

View Article: PubMed Central - PubMed

Affiliation: Department of Physics, University of Osnabrück , Osnabrück , Germany.

ABSTRACT
A general computational method is introduced to estimate the Poisson's ratio for membranes with small thickness. In this method, the Poisson's ratio is calculated by utilizing a rescaling of inter-particle distances in one lateral direction under periodic boundary conditions. As an example for the coarse grained lipid model introduced by Lenz and Schmid, we calculate the Poisson's ratio in the gel, fluid, and interdigitated phases. Having the Poisson's ratio, enable us to obtain the Young's modulus for the membranes in different phases. The approach may be applied to other membranes such as graphene and tethered membranes in order to predict the temperature dependence of its Poisson's ratio and Young's modulus.

No MeSH data available.


Related in: MedlinePlus

Relaxation of −ΔLi/ηjLi in (A) fluid, (B) interdigitated, and (C) gel phase. The plateau value reached after about 5000 MC steps, independent of the value of η, yields the Poisson’s ratio ν. In the gel phase, Poisson’s ratio has different values for νxy and νyx and this phase acting as an anisotropic surface.
© Copyright Policy - open-access
Related In: Results  -  Collection

License
getmorefigures.php?uid=PMC4126470&req=5

Figure 4: Relaxation of −ΔLi/ηjLi in (A) fluid, (B) interdigitated, and (C) gel phase. The plateau value reached after about 5000 MC steps, independent of the value of η, yields the Poisson’s ratio ν. In the gel phase, Poisson’s ratio has different values for νxy and νyx and this phase acting as an anisotropic surface.

Mentions: In Table 3, the obtained Poisson’s ratios νyx, νzx, and νxy as well as νzy for different phases are summarized. As demonstrated in Figure 4, the Poisson’s ratio obtained in this way is independent of the rescaling factor η as long as η is neither too large, which leads to destroy the membrane structure nor too small, which dose not produce enough free space for particles to move. According to the Table 3 and Figure 4, fluid and interdigitated phases have the same measured Poisson’s ratio for both x and y-directions. It means that these two phases are isotropic in the plane of bilayer. However, this is not the case any more for the gel phase. The measurements show that, a bilayer in the gel phase behaves as an anisotropic material, which has two distinguishably different values for the two different directions in the plane of the bilayer.


Poisson's Ratio and Young's Modulus of Lipid Bilayers in Different Phases.

Jadidi T, Seyyed-Allaei H, Tabar MR, Mashaghi A - Front Bioeng Biotechnol (2014)

Relaxation of −ΔLi/ηjLi in (A) fluid, (B) interdigitated, and (C) gel phase. The plateau value reached after about 5000 MC steps, independent of the value of η, yields the Poisson’s ratio ν. In the gel phase, Poisson’s ratio has different values for νxy and νyx and this phase acting as an anisotropic surface.
© Copyright Policy - open-access
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4126470&req=5

Figure 4: Relaxation of −ΔLi/ηjLi in (A) fluid, (B) interdigitated, and (C) gel phase. The plateau value reached after about 5000 MC steps, independent of the value of η, yields the Poisson’s ratio ν. In the gel phase, Poisson’s ratio has different values for νxy and νyx and this phase acting as an anisotropic surface.
Mentions: In Table 3, the obtained Poisson’s ratios νyx, νzx, and νxy as well as νzy for different phases are summarized. As demonstrated in Figure 4, the Poisson’s ratio obtained in this way is independent of the rescaling factor η as long as η is neither too large, which leads to destroy the membrane structure nor too small, which dose not produce enough free space for particles to move. According to the Table 3 and Figure 4, fluid and interdigitated phases have the same measured Poisson’s ratio for both x and y-directions. It means that these two phases are isotropic in the plane of bilayer. However, this is not the case any more for the gel phase. The measurements show that, a bilayer in the gel phase behaves as an anisotropic material, which has two distinguishably different values for the two different directions in the plane of the bilayer.

Bottom Line: As an example for the coarse grained lipid model introduced by Lenz and Schmid, we calculate the Poisson's ratio in the gel, fluid, and interdigitated phases.Having the Poisson's ratio, enable us to obtain the Young's modulus for the membranes in different phases.The approach may be applied to other membranes such as graphene and tethered membranes in order to predict the temperature dependence of its Poisson's ratio and Young's modulus.

View Article: PubMed Central - PubMed

Affiliation: Department of Physics, University of Osnabrück , Osnabrück , Germany.

ABSTRACT
A general computational method is introduced to estimate the Poisson's ratio for membranes with small thickness. In this method, the Poisson's ratio is calculated by utilizing a rescaling of inter-particle distances in one lateral direction under periodic boundary conditions. As an example for the coarse grained lipid model introduced by Lenz and Schmid, we calculate the Poisson's ratio in the gel, fluid, and interdigitated phases. Having the Poisson's ratio, enable us to obtain the Young's modulus for the membranes in different phases. The approach may be applied to other membranes such as graphene and tethered membranes in order to predict the temperature dependence of its Poisson's ratio and Young's modulus.

No MeSH data available.


Related in: MedlinePlus