Mechanical loading-induced fluid flow in lacunar–canalicular space (LCS) of bone excites osteocyte cells to release signalling molecules which initiate osteo-activities. Theoretical models considered canaliculi as a uniform and symmetrical space/channel in bone. However, experimental studies reported that canalicular walls are irregular and curvy resulting in inhomogeneous fluid motion which may influence the molecular transport. Therefore, a new mathematical model of LCS with curvy canalicular walls is developed to characterize cantilever bending-induced canalicular flow behaviour in terms of pore-pressure, fluid velocity, and streamlines. The model also analyses the mobility of signalling molecules involved in bone mechanotransduction as a function of loading frequency and permeability of LCS. Inhomogeneous flow is observed at higher loading frequency which amplifies mechanotransduction; nevertheless, it also promotes trapping of signalling molecules. The effects of shape and size of signalling molecules on transport behaviour are also studied. Trivially, signalling molecules larger in size and weight move slower as compared to molecules small in size and weight which validates the findings of the present study. The outcomes will ultimately be useful in designing better biomechanical exercise in combination with pharmaceutical agents to improve the bone health.

骨骼的腔-小管间隙（LCS）中的机械载荷诱导的流体流动会刺激骨细胞释放释放引发骨活动性的信号分子。理论模型认为小管是骨中均匀且对称的空间/通道。然而，实验研究报道，管壁不规则且弯曲，导致流体运动不均匀，从而影响分子的运输。因此，开发了具有弯曲的小管壁的LCS的新数学模型，以根据孔隙压力，流体速度和流线表征悬臂弯曲引起的小管流动行为。该模型还分析了参与骨机械转导的信号分子的迁移率与LCS的加载频率和通透性的关系。在较高的加载频率下观察到不均匀的流动，这放大了机械传导。但是，它也促进了信号分子的捕获。还研究了信号分子的形状和大小对运输行为的影响。琐碎地，与尺寸和重量较小的分子相比，尺寸和重量较大的信号分子移动较慢，这验证了本研究的结果。这些结果最终将有助于设计更好的生物力学锻炼，并与药物组合以改善骨骼健康。与尺寸和重量较小的分子相比，尺寸和重量较大的信号分子移动较慢，这验证了本研究的结果。这些结果最终将有助于设计更好的生物力学锻炼，并与药物组合以改善骨骼健康。与尺寸和重量较小的分子相比，尺寸和重量较大的信号分子移动较慢，这验证了本研究的结果。这些结果最终将有助于设计更好的生物力学锻炼，并与药物组合以改善骨骼健康。