Hiroshi Koibuchi

Finsler geometry modeling of phase separation in multi-component membranes

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) Lo and liquid-disordered (DOPC rich) Ld, 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 Lo 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.

Surface tension and Laplace pressure in triangulated surface models for membranes without fixed boundary

A Monte Carlo (MC) study is performed to evaluate the surface tension

Internal phase transition induced by external forces in Finsler geometric model for membranes

gamma

Surface Tension, Pressure Difference and Laplace Formula for Membranes

γ of spherical membranes that may be regarded as the models of the lipid layers. We use the canonical surface model defined on the self-avoiding triangulated lattices. The surface tension

Dependence of the surface tension on the shape of surface boundary

gamma

A Finsler Geometry Modeling of the Liquid Crystal Elastomer

γ is calculated by keeping the total surface area A constant during the MC simulations. In the evaluation of