The effects of geometric feedback in the development of osteoporosis
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TL;DR
It is demonstrated that, given a uniform remodeling imbalance throughout the skeleton, osteoporosis would develop faster in Haversian bone than in cancellous bone, and a ‘cure’ would show greater results in the most porous regions of the skeleton.
Abstract
A mathematical analysis of the development of intracortical osteoporosis is presented, with attention focused primarily on the effects of histological geometry in porosis development. It is demonstrated that, given a uniform remodeling imbalance throughout the skeleton, osteoporosis would develop faster in Haversian bone than in cancellous bone. Conversely, a ‘cure’ would show greater results in the most porous regions of the skeleton. The analysis and its implications are discussed in some detail, and the importance of bone's dynamic porous nature is emphasized.