Rice J C, Cowin S C, Bowman J A
Department of Biostatistics and Epidemiology, School of Public Health and Tropical Medicine, Tulane University, New Orleans, LA 70112.
J Biomech. 1988;21(2):155-68. doi: 10.1016/0021-9290(88)90008-5.
This paper presents a statistical analysis of the pooled data from a number of previous experiments concerning the dependence of the Young's moduli and strength of cancellous bone tissue upon apparent density. The results show that both the Young's moduli and the strength are proportional to the square of apparent density of the tissue and are therefore proportional to one another. It is shown that the coefficient of proportionality is different for human and bovine tissue. It is concluded that the suggestion of Wolff (Das Gesetz der Transformation der Knochen, Hirschwald, Berlin, 1892) that compact bone tissue is simply more dense cancellous bone tissue is not an accurate statement when only the mechanical properties of these two tissues are considered. It is noted that estimates for the elastic modulus of the individual trabecula of human cancellous bone vary from 1 to 20 GPa and it is suggested that this question needs further study.
本文对之前一些关于松质骨组织的杨氏模量和强度与表观密度之间关系的实验汇总数据进行了统计分析。结果表明，杨氏模量和强度均与组织表观密度的平方成正比，因此二者也成正比。研究表明，人体组织和牛组织的比例系数不同。得出的结论是，仅考虑这两种组织的力学性能时，沃尔夫（《骨的转化定律》，希尔施瓦尔德出版社，柏林，1892年）提出的致密骨组织仅仅是密度更高的松质骨组织这一观点并不准确。需要注意的是，人体松质骨单个小梁弹性模量的估计值在1至20吉帕之间，建议对此问题进行进一步研究。
