Spherical vesicles distorted by a grafted latex bead: An exact solution

被引：13

作者：

Benoit, Jerome ^{[1
,2
,3
,4
]}

Saxena, Avadh ^{[5
,6
]}

机构：

[1] Natl Cent Univ, Grad Inst Biophys, Jhongli 320, Taoyuan, Taiwan

[2] Natl Cent Univ, Ctr Complex Syst, Jhongli 320, Taoyuan, Taiwan

[3] Univ Crete, Dept Phys, GR-71003 Iraklion, Crete, Greece

[4] Fdn Res & Technol Hellas, GR-71003 Iraklion, Crete, Greece

[5] Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA

[6] Los Alamos Natl Lab, Ctr Nonlinear Studies, Los Alamos, NM 87545 USA

来源：

PHYSICAL REVIEW E | 2007年 / 76卷 / 04期

关键词：

D O I：

10.1103/PhysRevE.76.041912

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We present an exact solution to the problem of the global shape description of a spherical vesicle distorted by a grafted latex bead. This solution is derived by treating the nonlinearity in bending elasticity through the (topological) Bogomol'nyi decomposition technique and elastic compatibility. We recover the "hat-model" approximation in the limit of a small latex bead and find that the region antipodal to the grafted latex bead flattens. We also derive the appropriate shape equation using the variational principle and relevant constraints.

引用

页数：11

共 42 条

[1] Imaging coexisting fluid domains in biomembrane models coupling curvature and line tension
Baumgart, T
Hess, ST
Webb, WW
[J]. NATURE, 2003, 425 (6960) : 821 - 824
[2] BELAVIN AA, 1975, JETP LETT+, V22, P245
[3] Self-dual bending theory for vesicles
Benoit, J
von Hauff, E
Saxena, A
[J]. NONLINEARITY, 2004, 17 (01) : 57 - 66
[4] Heisenberg spins on an elastic torus section
Benoit, J
Dandoloff, R
[J]. PHYSICS LETTERS A, 1998, 248 (5-6) : 439 - 444
[5] Bogomol'nyi decomposition for vesicles of arbitrary genus
Benoit, J
Saxena, A
Lookman, T
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (44): : 9417 - 9423
[6] Nonlinear shape perturbations induced by vesicle inclusions
Biscari, P
Napoli, G
[J]. MOLECULAR CRYSTALS AND LIQUID CRYSTALS, 2005, 434 : 599 - 607
[7] Membrane-mediated interactions of rod-like inclusions
Biscari, P
Bisi, F
[J]. EUROPEAN PHYSICAL JOURNAL E, 2002, 7 (04) : 381 - 386
[8] BOGOMOLNYI EB, 1976, SOV J NUCL PHYS+, V24, P449
[9] MINIMUM ENERGY OF BENDING AS A POSSIBLE EXPLANATION OF BICONCAVE SHAPE OF HUMAN RED BLOOD CELL
CANHAM, PB
[J]. JOURNAL OF THEORETICAL BIOLOGY, 1970, 26 (01) : 61 - &
[10] Helfrich-Canham bending energy as avonstrained nonlinear sigma model
Capovilla, R
Guven, J
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2005, 38 (12): : 2593 - 2597

← 1 2 3 4 5 →