【作者】 霍梦科； 封雨潇； 何思渊； 周平； 吕坚；

【Author】 Huo Mengke;Feng Yuxiao;He Siyuan;Zhou Ping;Lu Jian;Southeast University, State Key laboratory of Bioelectronics, School of Biological Science&Medical Engineering;City University of Hong Kong, Department of Mechanical Engineering;

【机构】 东南大学生物电子学国家重点实验室生物科学与医学工程学院； 香港城市大学机械工程学院；

【摘要】 本研究尝试将生理行为的随机性耦合入拓扑优化模型,研究骨质疏松等条件下骨微结构的演变。通过采用实际股骨近端二维轮廓模型,用随机生成的多孔结构填充来获得优化的初始状态;以最小应变能为目标函数,采用骨体积分数和结构周长约束,引入中年、老年生理条件下骨组织生成和吸收概率,对目标函数灵敏度进行修正;采用移动渐近线法求解优化问题,模拟了骨组织的多孔结构演变。结果表明:随机性的加入使得生成的多孔结构更复杂,更接近真实骨结构特征。根据计算结果,老年生理条件下平均骨小梁厚度增加,平均骨小梁间距增大,符合实际骨质疏松的结构变化规律。因此,通过耦合生理随机性,可将骨生理状态引入骨结构演变预测模型,更好的预测松质骨结构演变。更多还原

【Abstract】 This study attempted to couple the randomness of physiological behavior into a topological optimization model to study the evolution of bone microstructure under different conditions such as aging. By using the actual two-dimensional contour model of the proximal femur, the randomly generated porous structure was set as initial state. The minimum strain energy was used as the objective function, and the bone volume fraction and the structural perimeter constraint were considered. To introduce the middle-aged and elderly physiological conditions, the probability of the formation and absorption of the bone tissue was corrected by modifying the sensitivity of the objective function. The moving asymptote method was used to solve the optimization problem, and then porous structure evolution of the bone tissue was simulated. The results show that taking the randomness into model makes the generated porous structure more realistic and closer to the real bone structure. According to the calculation results, the average trabecular thickness increased under the physiological conditions of the elderly, and the average trabecular bone spacing increased, which were in line with the structural changes of osteoporosis. Therefore, by coupling physiological randomness, bone physiological condition was introduced into the prediction model of bone structure evolution to predict more realistic cancellous bone structure.更多还原