On Mechanics of Connective Tissue: Assessing the Electrostatic Contribution to Corneal Stroma Elasticity

On Mechanics of Connective Tissue: Assessing the Electrostatic Contribution to Corneal Stroma Elasticity
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结缔组织力学:评估静电对角膜基质弹性的贡献

DOI:
10.1557/proc-1239-vv03-07
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发表时间:
2009
期刊:
MRS Proceedings
影响因子:
--
通讯作者:
P. Pinsky
P. Pinsky
中科院分区:
--
文献类型:
--
作者:
H. Hatami;P. Pinsky

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细胞外基质在确定结缔组织(如角膜、心脏、肌腱、骨和软骨等)的力学特性方面起着至关重要的作用。这些胶原组织的独特性质是由于胶原的层次结构和带负电荷的蛋白多糖(pg)的存在而产生的,它们将胶原纤维固定在一起。在这里,为了理解这些结构的力学,我们使用非线性泊-玻尔兹曼(PB)方程,研究了由于带负电荷的PG糖聚糖(GAGs)的存在,静电对角膜基质弹性的贡献。由于胶原蛋白和胶原蛋白在角膜基质内呈规则的六边形排列,因此选择三角形单位细胞。用有限元法求解了该区域内的PB方程,得到了电势和离子的分布。有了整个细胞的离子和电位分布,计算了静电自由能,并用能量法计算了组织弹性。结果表明,随着离子浴浓度的增加;静电对组织弹性的贡献减小了。
The extracellular matrix plays a crucial role in defining the mechanical properties of connective tissues like cornea, heart, tendon, bone and cartilage among many others. The unique properties of these collagenous tissues arise because of both the hierarchal structure of collagens and the presence of negatively charged proteoglycans (PGs) which hold collagen fibers together. Here, in an effort to understand the mechanics of these structures, using the nonlinear Poison-Boltzmann (PB) equation, we study the electrostatic contribution to the elasticity of corneal stroma due to the presence of negatively charged PG glycosminoglycans (GAGs). Since collagens and GAGs have a regular hexagonal arrangement inside the corneal stroma, a triangular unit cell is chosen. The finite element method is used to solve the PB equation inside this domain and to obtain the electric potential and ionic distributions. Having the ion and potential distributions throughout the unit cell, the electrostatic free energy is computed and the tissue elasticity is calculated using the energy method. It is shown that as the ionic bath concentration increases; the electrostatic contribution to tissue elasticity is reduced.
DOI: 10.1115/1.3138647
发表时间: 1987-02
期刊: Journal of biomechanical engineering
影响因子: --
作者:
S. Eisenberg;A. Grodzinsky
通讯作者: S. Eisenberg;A. Grodzinsky