Abstract
There are many diseases which cause detrimental changes in the trabecular structure of cancellous bone, leading to mechanical failure of the tissue. One approach to understanding the mechanisms of these diseases is to create idealized models that recreate the morphology of the tissue. This paper presents a partial development of such a model. Further histological methods must be developed before a complete definition of morphologically valid models is possible. In a histological section of cancellous bone, the orientation and length of the trabecular surfaces determine how a line drawn across the bone section will intersect the bone-marrow interface. The distribution of the average length between intersections for a set of parallel lines is defined as the mean intercept length distribution. In this paper, the average surface morphology and volume of the average structure of cancellous bone is determined from an examination of the mean intercept length. The average structure of cancellous bone contains a repeated structural element (SE). As a result, the basic bone structure is analogous to a brick wall made from many similar bricks. For a group of 107 specimens, a strong relationship between structural element volume (SE.V) and bone volume fraction ( BV TV) is demonstrated, SE.V=0.017κ( BV TV)-2.05 mm3, R2=0.93, with κ a model-dependent constant. For the same specimens, the structural element surface (SE.S) showed the relationship, SE.S=0.144κ( BV TV)-1.35, R2=0.92. As a result of the inverse square dependence of structural element volume on bone volume fraction, it is predicted that cancellous bone strength is inversely proportional to structural element volume.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 955-967 |
| Number of pages | 13 |
| Journal | Journal of Biomechanics |
| Volume | 26 |
| Issue number | 8 |
| DOIs | |
| State | Published - 1993 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Orthopedics and Sports Medicine
Cite this
Direct calculation of the surface-to-volume ratio for human cancellous bone. / Fyhrie, David P; Fazzalari, N. L.; Goulet, R.; Goldstein, S. A.
In: Journal of Biomechanics, Vol. 26, No. 8, 1993, p. 955-967.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Direct calculation of the surface-to-volume ratio for human cancellous bone
AU - Fyhrie, David P
AU - Fazzalari, N. L.
AU - Goulet, R.
AU - Goldstein, S. A.
PY - 1993
Y1 - 1993
N2 - There are many diseases which cause detrimental changes in the trabecular structure of cancellous bone, leading to mechanical failure of the tissue. One approach to understanding the mechanisms of these diseases is to create idealized models that recreate the morphology of the tissue. This paper presents a partial development of such a model. Further histological methods must be developed before a complete definition of morphologically valid models is possible. In a histological section of cancellous bone, the orientation and length of the trabecular surfaces determine how a line drawn across the bone section will intersect the bone-marrow interface. The distribution of the average length between intersections for a set of parallel lines is defined as the mean intercept length distribution. In this paper, the average surface morphology and volume of the average structure of cancellous bone is determined from an examination of the mean intercept length. The average structure of cancellous bone contains a repeated structural element (SE). As a result, the basic bone structure is analogous to a brick wall made from many similar bricks. For a group of 107 specimens, a strong relationship between structural element volume (SE.V) and bone volume fraction ( BV TV) is demonstrated, SE.V=0.017κ( BV TV)-2.05 mm3, R2=0.93, with κ a model-dependent constant. For the same specimens, the structural element surface (SE.S) showed the relationship, SE.S=0.144κ( BV TV)-1.35, R2=0.92. As a result of the inverse square dependence of structural element volume on bone volume fraction, it is predicted that cancellous bone strength is inversely proportional to structural element volume.
AB - There are many diseases which cause detrimental changes in the trabecular structure of cancellous bone, leading to mechanical failure of the tissue. One approach to understanding the mechanisms of these diseases is to create idealized models that recreate the morphology of the tissue. This paper presents a partial development of such a model. Further histological methods must be developed before a complete definition of morphologically valid models is possible. In a histological section of cancellous bone, the orientation and length of the trabecular surfaces determine how a line drawn across the bone section will intersect the bone-marrow interface. The distribution of the average length between intersections for a set of parallel lines is defined as the mean intercept length distribution. In this paper, the average surface morphology and volume of the average structure of cancellous bone is determined from an examination of the mean intercept length. The average structure of cancellous bone contains a repeated structural element (SE). As a result, the basic bone structure is analogous to a brick wall made from many similar bricks. For a group of 107 specimens, a strong relationship between structural element volume (SE.V) and bone volume fraction ( BV TV) is demonstrated, SE.V=0.017κ( BV TV)-2.05 mm3, R2=0.93, with κ a model-dependent constant. For the same specimens, the structural element surface (SE.S) showed the relationship, SE.S=0.144κ( BV TV)-1.35, R2=0.92. As a result of the inverse square dependence of structural element volume on bone volume fraction, it is predicted that cancellous bone strength is inversely proportional to structural element volume.
UR - http://www.scopus.com/inward/record.url?scp=0027641572&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0027641572&partnerID=8YFLogxK
U2 - 10.1016/0021-9290(93)90057-L
DO - 10.1016/0021-9290(93)90057-L
M3 - Article
C2 - 8349720
AN - SCOPUS:0027641572
VL - 26
SP - 955
EP - 967
JO - Journal of Biomechanics
JF - Journal of Biomechanics
SN - 0021-9290
IS - 8
ER -