Calculating the probability that microcracks initiate resorption spaces

David Burr, R. Bruce Martin

Research output: Contribution to journalArticle

101 Citations (Scopus)

Abstract

This paper explores the assumptions and limitations of the probability calculation that led to the conclusion by Burr et al. (1985) that microcracks initiate new remodeling events. It also corrects several minor errors in the calculation in the original manuscript. The results show that the probability that cracks and resorption spaces are associated depends heavily on a factor, F, that accounts for the possibility that some osteons that contain both a crack and a resorption space share a cement line with an adjacent osteon to which the crack more properly 'belongs.' F in turn depends on (1) the measurement criteria for cracks and resorption spaces, (2) the osteon population density in the bone, and (3) the mechanism by which cracks initiate remodeling. The theoretical maximum number of osteons that can contain both a crack and a resorption space (nmax) increases as the number of resorption spaces (r), the number of cracks (c), and F increase, but decreases as the osteon population density (d) increases. A larger nmax makes a direct association between cracks and resorption spaces more difficult to demonstrate experimentally.

Original languageEnglish
Pages (from-to)613-616
Number of pages4
JournalJournal of Biomechanics
Volume26
Issue number4-5
DOIs
StatePublished - 1993

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Haversian System
Microcracks
Cracks
Population Density
Manuscripts
Bone and Bones
Bone
Cements

ASJC Scopus subject areas

  • Orthopedics and Sports Medicine

Cite this

Calculating the probability that microcracks initiate resorption spaces. / Burr, David; Martin, R. Bruce.

In: Journal of Biomechanics, Vol. 26, No. 4-5, 1993, p. 613-616.

Research output: Contribution to journalArticle

Burr, David ; Martin, R. Bruce. / Calculating the probability that microcracks initiate resorption spaces. In: Journal of Biomechanics. 1993 ; Vol. 26, No. 4-5. pp. 613-616.
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