目的建立可数值量化的应力与骨生长生物力学模型。方法将动物实验、骨生长方程中未知参数的反演识别和计算机技术相结合,研究应力环境对快速生长期大鼠股骨生长与重建的影响,依据大鼠股骨所受外力刺激以及近端骨密度数值的改变,反演骨生长方程中的未知参数R和K。结果文中所建的生物模型不仅能够数值模拟快速生长期大鼠股骨骨密度变化和外界刺激的关系,而且能够预测大鼠生命周期中某段时间内不同应力环境下股骨的生长趋势。结论:本文的建模思路和方法为人体骨骼重建适应模型的确立起到提示和借鉴作用。
Objective To establish a biomechanical model of stress and bone growing which can be quantificated quantified numerically. Methods Animal experiments, parameter inversion identification of bone growth equation and computer techniques were integrated used. Weto studied study the effects of stress environments on bone growth and remodeling in rapid growing rats. According to the changes of bone mineral density (BMD) of the proximal femur and its loading stimulus, we inversed the unknown parameters (B and K) of bone growth and remodeling equation. Results The model established in this paper study was able could not only numerically to simulate the relationship between outer stimulus and the femur BMD variation of the rapid growing rats, but also to predict the growth trend of rat femur under different stress conditions in a certain periods within its lifecycle. The idea and method used in the model creating in this paper provide some useful clue and reference for establishing human model of bone growth and remodeling.