caa a22 4500 445391456 CHVBK 20180317143048.0 cr unu---uuuuu 170323e20110701xx s 000 0 eng 10.1007/s10955-011-0209-8 doi (NATIONALLICENCE)springer-10.1007/s10955-011-0209-8 The Heterogeneous Mineral Content of Bone—Using Stochastic Arguments and Simulations to Overcome Experimental Limitations [Elektronische Daten] [C. Lukas, P. Kollmannsberger, D. Ruffoni, P. Roschger, P. Fratzl, R. Weinkamer] 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. Springer Science+Business Media, LLC, 2011 Bone nationallicence Mineralization nationallicence Material heterogeneity nationallicence Counting statistics nationallicence Bone mineralization density distribution nationallicence Quantitative backscattered electron imaging nationallicence Tikhonov regularization nationallicence Lukas C. Department of Biomaterials, Max Planck Institute of Colloids and Interfaces, Potsdam, Germany aut Kollmannsberger P. Department of Biomaterials, Max Planck Institute of Colloids and Interfaces, Potsdam, Germany aut Ruffoni D. Institute for Biomechanics, ETH Zurich, Zurich, Switzerland aut Roschger P. Ludwig Boltzmann Institute of Osteology at Hanusch Hospital of WGKK and AUVA Trauma Centre Meidling, 1st Medical Dept., Hanusch Hospital, 1140, Vienna, Austria aut Fratzl P. Department of Biomaterials, Max Planck Institute of Colloids and Interfaces, Potsdam, Germany aut Weinkamer R. Department of Biomaterials, Max Planck Institute of Colloids and Interfaces, Potsdam, Germany aut Journal of Statistical Physics Springer US; http://www.springer-ny.com 144/2(2011-07-01), 316-331 0022-4715 144:2<316 2011 144 10955 https://doi.org/10.1007/s10955-011-0209-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-011-0209-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Lukas C. Department of Biomaterials, Max Planck Institute of Colloids and Interfaces, Potsdam, Germany aut NATIONALLICENCE 700 1- Kollmannsberger P. Department of Biomaterials, Max Planck Institute of Colloids and Interfaces, Potsdam, Germany aut NATIONALLICENCE 700 1- Ruffoni D. Institute for Biomechanics, ETH Zurich, Zurich, Switzerland aut NATIONALLICENCE 700 1- Roschger P. Ludwig Boltzmann Institute of Osteology at Hanusch Hospital of WGKK and AUVA Trauma Centre Meidling, 1st Medical Dept., Hanusch Hospital, 1140, Vienna, Austria aut NATIONALLICENCE 700 1- Fratzl P. Department of Biomaterials, Max Planck Institute of Colloids and Interfaces, Potsdam, Germany aut NATIONALLICENCE 700 1- Weinkamer R. Department of Biomaterials, Max Planck Institute of Colloids and Interfaces, Potsdam, Germany aut NATIONALLICENCE 773 0- Journal of Statistical Physics Springer US; http://www.springer-ny.com 144/2(2011-07-01), 316-331 0022-4715 144:2<316 2011 144 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer