This work focuses on the Lacunar–Canalicular Porosity (PLC) of cortical bone which includes the osteons. Osteons are semicylindrical porous structures saturated with fluid within the bone and are approximately 250[Formula: see text][Formula: see text]m in diameter. The outer boundary of the osteon is called the cement line. Some studies suggested that the cement line is less highly mineralized and produced evidence that it has less calcium and phosphorus and more sulfur than the neighboring bone lamellae. Most authors assume that the cement line is impermeable, while others assume that some canaliculi are crossing the cement line which will make it permeable to certain degree. The objective of this work is to develop a theoretical analysis to study the leakage through the cement line and its relationship with the pore pressure distribution. The theoretical analysis is developed using our previous analysis for osteon under harmonic loading with addition of leakage parameter. The leakage parameter varies from 0 to 1, where a value of 0 indicates free flow through the cement line and a value of 1 indicates no flow through the cement line. Experimental results could be compared to this developed theoretical solution to get in depth understanding of the effect of leakage on osteon poroelastic properties. Additionally, the developed theoretical solution will give insight into sensitivity of osteon pore pressure to leakage through the cement line.

中文翻译：

---

单条骨水泥线渗漏的理论分析

这项工作的重点是包括骨在内的皮质骨的腔隙-小管孔隙率 (PLC)。骨是骨内充满液体的半圆柱形多孔结构，直径约为 250[公式：见正文][公式：见正文]m。骨的外边界称为骨水泥线。一些研究表明，水泥线的矿化程度较低，并提供证据表明它的钙和磷含量低于相邻的骨片层，硫含量更高。大多数作者假设水泥线是不可渗透的，而其他人则认为一些小管穿过水泥线，这将使其在一定程度上具有渗透性。这项工作的目的是开发一种理论分析来研究通过水泥线的泄漏及其与孔隙压力分布的关系。理论分析是使用我们先前对谐波载荷下的骨进行分析并添加泄漏参数而开发的。泄漏参数从 0 到 1 变化，其中 0 值表示通过水泥管线的自由流动，而值为 1 表示没有通过水泥管线的流动。实验结果可以与这个开发的理论解决方案进行比较，以深入了解泄漏对骨孔弹性性能的影响。此外，所开发的理论解决方案将深入了解骨孔压力对通过水泥线泄漏的敏感性。其中 0 值表示通过水泥管线的自由流动，而值为 1 表示没有通过水泥管线的流动。实验结果可以与这个开发的理论解决方案进行比较，以深入了解泄漏对骨孔弹性性能的影响。此外，所开发的理论解决方案将深入了解骨孔压力对通过水泥线泄漏的敏感性。其中 0 值表示通过水泥管线的自由流动，而值为 1 表示没有通过水泥管线的流动。实验结果可以与这个开发的理论解决方案进行比较，以深入了解泄漏对骨孔弹性性能的影响。此外，所开发的理论解决方案将深入了解骨孔压力对通过水泥线泄漏的敏感性。