Simulation of bone remodeling at the bone cell level can predict changes in bone microarchitecture and density due to bone diseases and drug treatment. Their clinical application, however, is limited since bone microarchitecture can only be measured in the peripheral skeleton of patients and since the simulations are very time consuming. To overcome these issues, we have developed an analytical model to predict bone density adaptation at the organ level, in agreement with our earlier developed bone remodeling theory at the cellular level. Assuming a generalized geometrical model at the microlevel, the original theory was reformulated into an analytical equation that describes the evolution of bone density as a function of parameters that describe cell activity, mechanotransduction and mechanical loading. It was found that this analytical model can predict changes in bone density due to changes in these cell-level parameters that are in good agreement with those predicted by the earlier numerical model that implemented a detailed micro-finite element (FE) model to represent the bone architecture and loading, at only a fraction of the computational costs. The good agreement between analytical and numerical density evolutions indicates that the analytical model presented in this study can predict well bone functional adaptation and, eventually, provide an efficient tool for simulating patient-specific bone remodeling and for better prognosis of bone fracture risk.
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March 2014
Research-Article
An Analytical Approach to Investigate the Evolution of Bone Volume Fraction in Bone Remodeling Simulation at the Tissue and Cell Level
Michele Colloca,
Michele Colloca
Department of Biomedical Engineering,
Orthopaedic Biomechanics,
P.O. Box 513,
e-mail: m.colloca@tue.nl
Orthopaedic Biomechanics,
Eindhoven University of Technology
,P.O. Box 513,
Eindhoven 5600 MB
, The Netherlands
e-mail: m.colloca@tue.nl
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Keita Ito,
Keita Ito
Department of Biomedical Engineering,
Orthopaedic Biomechanics,
P.O. Box 513,
e-mail: k.ito@tue.nl
Orthopaedic Biomechanics,
Eindhoven University of Technology
,P.O. Box 513,
Eindhoven 5600 MB, The Netherlands
e-mail: k.ito@tue.nl
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Bert van Rietbergen
Bert van Rietbergen
1
Department of Biomedical Engineering,
Orthopaedic Biomechanics,
P.O. Box 513,
e-mail: b.v.rietbergen@tue.nl
Orthopaedic Biomechanics,
Eindhoven University of Technology
,P.O. Box 513,
Eindhoven 5600 MB
, The Netherlands
e-mail: b.v.rietbergen@tue.nl
1Corresponding author.
Search for other works by this author on:
Michele Colloca
Department of Biomedical Engineering,
Orthopaedic Biomechanics,
P.O. Box 513,
e-mail: m.colloca@tue.nl
Orthopaedic Biomechanics,
Eindhoven University of Technology
,P.O. Box 513,
Eindhoven 5600 MB
, The Netherlands
e-mail: m.colloca@tue.nl
Keita Ito
Department of Biomedical Engineering,
Orthopaedic Biomechanics,
P.O. Box 513,
e-mail: k.ito@tue.nl
Orthopaedic Biomechanics,
Eindhoven University of Technology
,P.O. Box 513,
Eindhoven 5600 MB, The Netherlands
e-mail: k.ito@tue.nl
Bert van Rietbergen
Department of Biomedical Engineering,
Orthopaedic Biomechanics,
P.O. Box 513,
e-mail: b.v.rietbergen@tue.nl
Orthopaedic Biomechanics,
Eindhoven University of Technology
,P.O. Box 513,
Eindhoven 5600 MB
, The Netherlands
e-mail: b.v.rietbergen@tue.nl
1Corresponding author.
Contributed by the Bioengineering Division of ASME for publication in the Journal of Biomechanical Engineering. Manuscript received May 2, 2013; final manuscript received November 21, 2013; accepted manuscript posted December 12, 2013; published online February 13, 2014. Assoc. Editor: Guy M. Genin.
J Biomech Eng. Mar 2014, 136(3): 031004 (8 pages)
Published Online: February 13, 2014
Article history
Received:
May 2, 2013
Revision Received:
November 21, 2013
Accepted:
December 12, 2013
Citation
Colloca, M., Ito, K., and van Rietbergen, B. (February 13, 2014). "An Analytical Approach to Investigate the Evolution of Bone Volume Fraction in Bone Remodeling Simulation at the Tissue and Cell Level." ASME. J Biomech Eng. March 2014; 136(3): 031004. https://doi.org/10.1115/1.4026227
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