A continuum mechanics framework and a constitutive model for predicting the orthotropic elastic properties of microtubules
A continuum mechanics framework and a constitutive model for predicting the orthotropic elastic properties of microtubules
复制标题
用于预测微管正交各向异性弹性特性的连续介质力学框架和本构模型
DOI：
10.1016/j.compstruct.2011.01.017
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发表时间：
2011-06
影响因子：
6.3
通讯作者：
Sun YZ
中科院分区：
文献类型：
--
作者：
Liew K.M.;Xiang P;Sun YZ
本文提出了一个理论框架，模拟正交各向异性的弹性特性的微管。我们提出了一个本构模型来描述详细的微尺度信息和连续特性的微管。微管被看作是从一个等效的平面结构转换，一个虚构的键被引入到评估系统的能量和相关的变形梯度，并被认为是一个代表性的单胞的微观尺度能量和连续应变能的桥梁。在一个有代表性的单位细胞中，微管蛋白单体和鸟苷分子被视为球状体，并通过高阶柯西-玻恩规则的虚拟键矢量进行评估。为了处理这种含有大量不同类型化学元素的多原子生物复合结构，进行均匀化技术来计算虚拟键能。因此，微管的结构通过使代表性晶胞的电势最小化来确定。利用所建立的模型，计算了相邻分子间的虚键长度，并计算了纵向和周向模量。
This paper presents a theoretical framework for modeling the orthotropic elastic properties of microtubules. We propose a constitutive model to describe the detailed microscale information and continuum properties of the microtubules. The microtubule is viewed as being transformed from an equivalent planar structure, a fictitious-bond is introduced to evaluate the system energy and related with deformation gradients, and a representative unit cell is considered to bridge the microscale energy and the continuum strain energy. In a representative unit cell, the tubulin monomers and guanosine molecules are treated as spheroids, and the fictitious-bond vectors are evaluated through the higher-order Cauchy–Born rule. To deal with this polyatomic bio-composite structure that has large quantities of different types of chemical elements, a homogenization technique is performed to calculate the fictitious-bond energy. The structure of the microtubule is thus determined by minimizing the potential of the representative unit cell. With the established model, the fictitious-bond lengths between adjacent molecules are evaluated and the longitudinal and circumferential moduli are calculated.
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影响因子：
4
作者：
H. Felgner;Rainer Frank;M. Schliwa
通讯作者：
H. Felgner;Rainer Frank;M. Schliwa
影响因子：
3.5
作者：
N. Goldenfeld
通讯作者：
N. Goldenfeld
DOI：
10.1016/j.cma.2008.02.003
发表时间：
2008-06
影响因子：
7.2
作者：
Yuzhou Sun;K. Liew
通讯作者：
Yuzhou Sun;K. Liew
影响因子：
5.3
作者：
He, XQ;Kitipornchai, S;Liew, KM
通讯作者：
Liew, KM
DOI：
10.1016/s0021-9258(17)36840-0
发表时间：
1994-05
期刊：
The Journal of biological chemistry
影响因子：
--
作者：
Pascal Venier;Anthony;-C.;MaggsS;M. Carlier;D. Pantaloni
通讯作者：
Pascal Venier;Anthony;-C.;MaggsS;M. Carlier;D. Pantaloni