Hierarchical poroelasticity: movement of interstitial fluid between porosity levels in bones
Hierarchical poroelasticity: movement of interstitial fluid between porosity levels in bones
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DOI：
10.1098/rsta.2009.0099
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发表时间：
2009-09-13
期刊：
影响因子：
5
通讯作者：
Benalla, Mohammed
中科院分区：
文献类型：
--
作者：
Cowin, Stephen C.;Gailani, Gaffar;Benalla, Mohammed
建立了具有分级孔隙结构和小变形可压缩组分的多孔弹性材料理论的控制方程。这些方程适用于确定血管孔隙度（PV）和骨组织中的腔隙-小管孔隙度（PLC）之间的孔隙流体交换的问题，由于循环机械负荷和血压振荡。该结果对于理解骨组织中的间质流是基本的，而间质流又对于理解从脉管系统到埋藏在骨组织中的骨细胞的营养转运以及这些细胞的机械转导过程是基本的。作为循环机械负荷和血压振荡的函数，获得在循环负荷中在PLC和PV之间移动的流体体积的公式。在PLC和PV中的振荡流体孔隙压力的公式作为两个驱动力的函数，周期性机械应变和血压，都具有指定的振幅和频率。本研究的结果还表明，PV渗透率大于10（-9）m（2），可能略低于10（-8）m（2）。以前对这种渗透率的估计小到10（-14）m（2）。
The governing equations for the theory of poroelastic materials with hierarchical pore space architecture and compressible constituents undergoing small deformations are developed. These equations are applied to the problem of determining the exchange of pore fluid between the vascular porosity (PV) and the lacunar-canalicular porosity (PLC) in bone tissue due to cyclic mechanical loading and blood pressure oscillations. The result is basic to the understanding of interstitial flow in bone tissue that, in turn, is basic to understanding of nutrient transport from the vasculature to the bone cells buried in the bone tissue and to the process of mechanotransduction by these cells. A formula for the volume of fluid that moves between the PLC and PV in a cyclic loading is obtained as a function of the cyclic mechanical loading and blood pressure oscillations. Formulas for the oscillating fluid pore pressure in both the PLC and the PV are obtained as functions of the two driving forces, the cyclic mechanical straining and the blood pressure, both with specified amplitude and frequency. The results of this study also suggest a PV permeability greater than 10(-9) m(2) and perhaps a little lower than 10(-8) m(2). Previous estimates of this permeability have been as small as 10(-14) m(2).