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Mathematical Model for the Mineralization of BoneA mathematical model is presented for the transport and precipitation of mineral in refilling osteons. One goal of this model was to explain calcification 'halos,' in which the bone near the haversian canal is more highly mineralized than the more peripheral lamellae, which have been mineralizing longer. It was assumed that the precipitation rate of mineral is proportional to the difference between the local concentration of calcium ions and an equilibrium concentration and that the transport of ions is by either diffusion or some other concentration gradient-dependent process. Transport of ions was assumed to be slowed by the accumulation of mineral in the matrix along the transport path. The model also mimics bone apposition, slowing of apposition during refilling, and mineralization lag time. It was found that simple diffusion cannot account for the transport of calcium ions into mineralizing bone, because the diffusion coefficient is two orders of magnitude too low. If a more rapid concentration gradient-driven means of transport exists, the model demonstrates that osteonal geometry and variable rate of refilling work together to produce calcification halos, as well as the primary and secondary calcification effect reported in the literature.
Document ID
19970031860
Acquisition Source
Ames Research Center
Document Type
Contractor Report (CR)
External Source(s)
Authors
Martin, Bruce
(California Univ. Davis, CA United States)
Date Acquired
August 17, 2013
Publication Date
January 1, 1994
Publication Information
Publication: Journal of Orthopaedic Research
Publisher: Orthopaedic Research Society
Volume: 12
Issue: 3
Subject Category
Aerospace Medicine
Report/Patent Number
NAS 1.26:204904
NASA-CR-204904
Accession Number
97N72421
Funding Number(s)
CONTRACT_GRANT: NAG2-649
Distribution Limits
Public
Copyright
Public Use Permitted.
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