The three-dimensional distribution of bone surface and the bone volume
fraction (BV/TV) of 110 human vertebral cancellous bone specimens fro
m seven individuals were measured using a three-dimensional radiograph
ic method (microcomputed tomography). The ratios of the three principa
l projections of bone surface per total volume were found to be relati
vely constant for specimens examined in this study. The constancy of t
he projected surface ratios means that the fraction of the total bone
surface oriented in any direction does not change markedly with BV/TV.
Bone volume fraction was a good predictor of bone surface per total v
olume (BS/TV) for a one-parameter nonlinear model (r(2) = 0.92). The r
esults of this pilot study suggest that the changes in surface distrib
ution which occur during age-related bone loss are largely predetermin
ed rather than adaptive. The results are also consistent with the idea
that cancellous bone tends to maintain a constant ratio of trabecular
number for the principal directions. If these inferences from the dat
a are correct, the morphogenetic processes which create the initial ad
ult trabecular pattern become of primary interest. A model was develop
ed which explained the strong relationship between BS/TV and BV/TV. Th
e model was used to demonstrate the importance of morphogenetic proces
ses.