It is well known that transport of nutrients and wastes as solute in bone fluid plays an important role in bone remodeling and damage healing. This work presents a chemo-poroelastic model for fluid and solute transport in the lacunar-canalicular network of an osteonal cortical bone under cyclic axial mechanical loading or vascular pressure. Analytical solutions are obtained for the pore fluid pressure, and fluid and solute velocities. Numerical results for fluid and calcium transport indicate that under a cyclic stress of 20 MPa, the magnitudes of the fluid and calcium velocities increase with an increase in the loading frequency for the frequency range considered (≤ 3 Hz) and peak at the inner boundary. The peak magnitude of calcium velocity reaches 18.9 μm/s for an osteon with a permeability of 1.5 × 10⁻¹⁹ m² under a 3 Hz loading frequency. The magnitude of calcium velocity under a vascular pressure of 50 mmHg is found to be two orders of magnitude smaller than that under the mechanical load. These results have the potential to be important in understanding fundamental aspects of cortical bone remodeling as transport characteristics of calcium and other nutrients at the osteon scale influence bone metabolism.

众所周知，营养物质和废物在骨液中作为溶质的运输在骨重建和损伤愈合中起着重要作用。这项工作提出了一种化学多孔弹性模型，用于在循环轴向机械载荷或血管压力下骨皮质骨的腔隙-小管网络中的流体和溶质运输。获得了孔隙流体压力、流体和溶质速度的解析解。流体和钙传输的数值结果表明，在 20 MPa 的循环应力下，流体和钙速度的大小随着所考虑频率范围 (≤ 3 Hz) 的加载频率的增加而增加，并在内边界达到峰值。对于渗透率为 1.5 × 10 的骨子，钙速度的峰值达到 18.9  μ m/s⁻¹⁹ m ²在 3 Hz 负载频率下。发现血管压力为 50 mmHg 下的钙速度大小比机械负载下的小两个数量级。这些结果有可能对理解皮质骨重塑的基本方面很重要，因为钙和其他营养物质在骨细胞尺度上的运输特征会影响骨代谢。