一个层次模型被开发在装载 osteon 的 canaliculi 预言流的潜力(SP ) 。Canaliculi 被假定直接越过 osteon 运用环形的柱体墙,当不顾空隙的效果时。SP 被 canalicular 液体流动概括。分析答案为 canalicular 液体速度,压力,和 SP 被获得。结果证明那个 SP 振幅(矿泉) 与压力差别,紧张振幅,频率,和紧张率成正比振幅。然而,管理 SP 的关键装载因素是紧张率,它是在特定的生理的状态下面的一个代表性的装载参数。而且,矿泉独立于 canalicular 长度。这个模型连接外部负担到 canalicular 液体压力,速度,和 SP,它能便于 mechanotransduction 的进一步的理解和骨头的 electromechanotransduction 机制。
A hierarchical model is developed to predict the streaming potential (SP) in the canaliculi of a loaded os teon. Canaliculi are assumed to run straight across the os teon annular cylinder wall, while disregarding the effect of lacuna. SP is generalized by the canalicular fluid flow. Ana lytical solutions are obtained for the canalicular fluid veloc ity, pressure, and SP. Results demonstrate that SP amplitude (SPA) is proportional to the pressure difference, strain am plitude, frequency, and strain rate amplitude. However, the key loading factor governing SP is the strain rate, which is a representative loading parameter under the specific phys iological state. Moreover, SPA is independent of canalicu lar length. This model links external loads to the canalicu lar fluid pressure, velocity, and SP, which can facilitate fur ther understanding of the mechanotransduction and electro mechanotransduction mechanisms of bones.