کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4964260 1447421 2017 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Direct computation of two-phase icosahedral equilibria of lipid bilayer vesicles
ترجمه فارسی عنوان
محاسبه مستقیم تعادل ایزوآرادای دو فازی از حباب های دو لایه لیپید
کلمات کلیدی
مکانیک غشاء، عنصر محدودی زیربخش، ادامهی عددی، کاهش تقارن،
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
چکیده انگلیسی
Correctly formulated continuum models for lipid-bilayer membranes present a significant challenge to computational mechanics. In particular, the mid-surface behavior is that of a 2-dimensional fluid, while the membrane resists bending much like an elastic shell. Here we consider a well-known “Helfrich-Cahn-Hilliard” model for two-phase lipid-bilayer vesicles, incorporating mid-surface fluidity, curvature elasticity and a phase field. We present a systematic approach to the direct computation of vesicle configurations possessing icosahedral symmetry, which have been observed in experiment and whose mathematical existence has recently been established. We first introduce a radial-graph formulation to overcome the difficulties associated with fluidity within a conventional Lagrangian description. We use the so-called subdivision surface finite element method combined with an icosahedral-symmetric mesh. The resulting discrete equations are well-conditioned and inherit equivariance properties under a representation of the icosahedral group. We use group-theoretic methods to obtain a reduced problem that captures all icosahedral-symmetric solutions of the full problem. Finally we explore the behavior of our reduced model, varying numerous physical parameters present in the mathematical model.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 314, 1 February 2017, Pages 164-179
نویسندگان
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