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Polymers 2016, 8(8), 284; doi:10.3390/polym8080284

Finsler Geometry Modeling of Phase Separation in Multi-Component Membranes

Department of Mechanical and Systems Engineering, National Institute of Technology, Ibaraki College, Nakane 866, Hitachinaka, Ibaraki 312-8508, Japan
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Academic Editor: Martin Krӧger
Received: 15 May 2016 / Revised: 22 July 2016 / Accepted: 25 July 2016 / Published: 4 August 2016
(This article belongs to the Special Issue Semiflexible Polymers)
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Abstract

A Finsler geometric surface model is studied as a coarse-grained model for membranes of three components, such as zwitterionic phospholipid (DOPC), lipid (DPPC) and an organic molecule (cholesterol). To understand the phase separation of liquid-ordered (DPPC rich) L o and liquid-disordered (DOPC rich) L d , we introduce a binary variable σ ( = ± 1 ) into the triangulated surface model. We numerically determine that two circular and stripe domains appear on the surface. The dependence of the morphological change on the area fraction of L o is consistent with existing experimental results. This provides us with a clear understanding of the origin of the line tension energy, which has been used to understand these morphological changes in three-component membranes. In addition to these two circular and stripe domains, a raft-like domain and budding domain are also observed, and the several corresponding phase diagrams are obtained. View Full-Text
Keywords: biological membranes; multi-component; phase separation; liquid-ordered; liquid-disordered; line tension; Monte Carlo; surface model; Finsler geometry biological membranes; multi-component; phase separation; liquid-ordered; liquid-disordered; line tension; Monte Carlo; surface model; Finsler geometry
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Usui, S.; Koibuchi, H. Finsler Geometry Modeling of Phase Separation in Multi-Component Membranes. Polymers 2016, 8, 284.

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