Mechanical collapse of confined fluid membrane vesicles

Mechanical collapse of confined fluid membrane vesicles
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受限流体膜囊泡的机械塌陷

DOI:
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发表时间:
2014
影响因子:
3.5
通讯作者:
W. Klug
W. Klug
中科院分区:
工程技术2区
文献类型:
--
作者:
J. E. Rim;P. Purohit;W. Klug

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紧凑的圆柱形和球形内陷是细胞和发育生物学中常见的结构基序。为了理解产生和维持这种结构的基本物理机制,我们在这里提出了一个简单的模型,囊泡在禁闭,其中机械平衡配置计算能量最小化,平衡曲率弹性的影响,膜与自身的接触和限制的几何形状,和粘附。对于圆柱形约束,形状方程的解析和数值求解有限元分析。对于球形约束,轴对称配置得到数值。我们发现,内陷的几何形状是由一个无量纲的比例的粘附强度的弯曲能量的等面积的球形囊泡。较大的粘附力产生更集中的曲率,其主要局限于“颈部”区域,在该区域内陷脱离其限制容器。在球形约束下,轴对称内陷近似为球形。对于极端约束,可能形成多个内陷,沿沿着多个平衡分支分叉。该模型的结果有助于理解控制细胞及其细胞器的脂膜结构的物理机制,以及组织膜的发育。
Compact cylindrical and spherical invaginations are common structural motifs found in cellular and developmental biology. To understand the basic physical mechanisms that produce and maintain such structures, we present here a simple model of vesicles in confinement, in which mechanical equilibrium configurations are computed by energy minimization, balancing the effects of curvature elasticity, contact of the membrane with itself and the confining geometry, and adhesion. For cylindrical confinement, the shape equations are solved both analytically and numerically by finite element analysis. For spherical confinement, axisymmetric configurations are obtained numerically. We find that the geometry of invaginations is controlled by a dimensionless ratio of the adhesion strength to the bending energy of an equal area spherical vesicle. Larger adhesion produces more concentrated curvatures, which are mainly localized to the “neck” region where the invagination breaks away from its confining container. Under spherical confinement, axisymmetric invaginations are approximately spherical. For extreme confinement, multiple invaginations may form, bifurcating along multiple equilibrium branches. The results of the model are useful for understanding the physical mechanisms controlling the structure of lipid membranes of cells and their organelles, and developing tissue membranes.
DOI: 10.3892/br.2016.590
发表时间: 2016-03
期刊: Biomedical reports
影响因子: 2.3
作者:
Stefano GB;Kream RM
通讯作者: Kream RM
DOI: 10.1103/physrevlett.106.057801
发表时间: 2011
影响因子: 8.6
作者:
Rim,JE;Ursell,TS;Phillips,R;Klug,WS
通讯作者: Klug,WS
DOI: 10.1016/s0005-2728(02)00278-5
发表时间: 2002-09-10
影响因子: 4.3
作者:
Frey, TG;Renken, CW;Perkins, GA
通讯作者: Perkins, GA