Sontag W
Bone. 1986;7(1):55-62. doi: 10.1016/8756-3282(86)90152-3.
Morphologic and modeling parameters were studied in the diaphysis of female rats femora between 60 and 850 days of age. Modeling rates were measured by the vital labeling technique. With the data obtained, a mathematical bone model has been developed that describes the cross section of the femur midshaft by two ellipses, defined by four time-dependent functions of the radii, and one drift function that describes the movement of the whole diaphysis in the transverse direction. With increasing age the apposition(MF), forming(BF), and resorbing(BR) rates decrease continuously from 2.5 mm/year(MF), 850%/year(BF), and 450%/year(BR) at 60 days to 0.05 mm/year(MF), 10.6%/year(BF), and 6.7%/year(BR) at 850 days, whereas the endosteal and periosteal diameters increase. In young animals the fraction of forming and resorbing areas of the periosteal and cortical-endosteal surfaces is comparable, whereas in old rats most of periosteal surface is forming and most of the cortical-endosteal surface is resorbing.
对60至850日龄雌性大鼠股骨骨干的形态学和建模参数进行了研究。通过活体标记技术测量建模速率。利用获得的数据，开发了一个数学骨模型，该模型用两个椭圆描述股骨中轴的横截面，这两个椭圆由四个随时间变化的半径函数定义，还有一个漂移函数描述整个骨干在横向方向上的移动。随着年龄的增长，骨膜增生（MF）、形成（BF）和吸收（BR）速率从60日龄时的2.5毫米/年（MF）、850%/年（BF）和450%/年（BR）持续下降至850日龄时的0.05毫米/年（MF）、10.6%/年（BF）和6.7%/年（BR），而骨内膜和骨膜直径增加。在幼年动物中，骨膜和皮质骨内膜表面形成和吸收区域的比例相当，而在老年大鼠中，大部分骨膜表面在形成，大部分皮质骨内膜表面在吸收。
