The Heterogeneous Mineral Content of Bone-Using Stochastic Arguments and Simulations to Overcome Experimental Limitations

Lukas, C.; Kollmannsberger, P.; Ruffoni, Davide; Roschger, P.; Fratzl, P.; Weinkamer, R.

doi:10.1007/s10955-011-0209-8

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The Heterogeneous Mineral Content of Bone-Using Stochastic Arguments and Simulations to Overcome Experimental Limitations

Lukas, C.; Kollmannsberger, P.; Ruffoni, Davide et al.

2011 • In Journal of Statistical Physics, 144 (2), p. 316-331

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https://hdl.handle.net/2268/172856

DOI
10.1007/s10955-011-0209-8

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Abstract :

[en] On a sub-millimeter length scale, bone is a very heterogeneous material with varying mineral content. This heterogeneity can be measured by quantitative backscattered electron imaging (qBEI) and quantified by a probability distribution called the bone mineralization density distribution (BMDD). The stochastic nature of the backscattering of electrons during the measurement makes the results dependent on the acquisition time. In this work the influence of the measurement conditions was quantified and was corrected for using Tikhonov regularization. Deconvolution reduces the width of the BMDD and allows a more precise definition of a reference BMDD for healthy adults. The corrected information was used as input for a mathematical model that predicts the time evolution of the BMDD. Simulations of osteoporosis treatment reveal a double peak in the BMDD that is not observed in experiments due to limited acquisition time. Our method allows determining the necessary acquisition time to resolve such double peaks.

Disciplines :

Physics

Author, co-author :

Lukas, C.

Kollmannsberger, P.

Ruffoni, Davide ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Mécanique des matériaux biologiques et bioinspirés

Roschger, P.

Fratzl, P.

Weinkamer, R.

Language :

English

Title :

The Heterogeneous Mineral Content of Bone-Using Stochastic Arguments and Simulations to Overcome Experimental Limitations

Publication date :

2011

Journal title :

Journal of Statistical Physics

ISSN :

0022-4715

eISSN :

1572-9613

Publisher :

Kluwer Academic/Plenum Publishers, United States

Volume :

144

Issue :

Pages :

316-331

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 10 October 2014

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