Analytical basis for the determination of the lacunar-canalicular permeability of bone using cyclic loading
Analytical basis for the determination of the lacunar-canalicular permeability of bone using cyclic loading
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DOI：
10.1007/s10237-011-0350-y
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发表时间：
2012-07-01
影响因子：
3.5
通讯作者：
Cowin, S. C.
中科院分区：
文献类型：
--
作者：
Benalla, M.;Cardoso, L.;Cowin, S. C.
在这方面的贡献中描述了一个分析模型，用于确定骨的腔隙-小管孔隙度的渗透性，使用循环载荷。所提出的分析的目的是将腔隙-泪小管渗透性与骨受到无限小循环应变时可测量的特定相位角相关联。感兴趣的相位角是施加的应变和合成应力之间的滞后角。周期性的张力导致组织间液移动。这种运动对于骨细胞的生存能力是必不可少的，并且被认为在骨机械传导机制中起主要作用。然而，某些骨液流动特性，特别是腔隙-小管孔隙度的渗透性，仍然没有准确地确定。在本文中，作为渗透率的函数的相位角无穷小循环应变的公式，并获得的储能模量，损耗模量和损耗角正切的数学表达式。PLC渗透性的准确测定将提高我们理解机械传导和机械感觉机制的能力，这对于理解如何治疗骨质疏松症、如何科普长期载人航天飞行中的微重力以及如何增加植入骨组织中的假体的寿命至关重要。
An analytical model for the determination of the permeability in the lacunar-canalicular porosity of bone using cyclic loading is described in this contribution. The objective of the analysis presented is to relate the lacunar-canalicular permeability to a particular phase angle that is measurable when the bone is subjected to infinitesimal cyclic strain. The phase angle of interest is the lag angle between the applied strain and the resultant stress. Cyclic strain causes the interstitial fluid to move. This movement is essential for the viability of osteocytes and is believed to play a major role in the bone mechanotransduction mechanism. However, certain bone fluid flow properties, notably the permeability of the lacunar-canalicular porosity, are still not accurately determined. In this paper, formulas for the phase angle as a function of permeability for infinitesimal cyclic strain are presented and mathematical expressions for the storage modulus, loss modulus, and loss tangent are obtained. An accurate determination of the PLC permeability will improve our ability to understand mechanotransduction and mechanosensory mechanisms, which are fundamental to the understanding of how to treat osteoporosis, how to cope with microgravity in long-term manned space flights, and how to increase the longevity of prostheses that are implanted in bone tissue.