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A Network Modeling Approach for the Spatial Distribution and Structure of Bone Mineral Content

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ABSTRACT

This study aims to develop a spatial model of bone for quantitative assessments of bone mineral density and microarchitecture. A spatially structured network model for bone microarchitecture was systematically investigated. Bone mineral-forming foci were distributed radially according to the cumulative normal distribution, and Voronoi tessellation was used to obtain edges representing bone mineral lattice. Methods to simulate X-ray images were developed. The network model recapitulated key features of real bone and contained spongy interior regions resembling trabecular bone that transitioned seamlessly to densely mineralized, compact cortical bone-like microarchitecture. Model-simulated imaging profiles were similar to patients’ X-ray images. The morphometric metrics were concordant with microcomputed tomography results for real bone. Simulations comparing normal and diseased bone of 20–30 to 70–80 year-olds demonstrated the method’s effectiveness for modeling osteoporosis. The novel spatial model may be useful for pharmacodynamic simulations of bone drugs and for modeling imaging data in clinical trials.

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ACKNOWLEDGMENTS AND DISCLOSURES

Support from the National Multiple Sclerosis Society (RG4836-A-5) to the Ramanathan laboratory is gratefully acknowledged.

CONFLICT OF INTEREST

There are no conflicts of interest related to the work in the manuscript.

CONFIDENTIALITY

Use of the information in this manuscript for commercial, noncommercial, research, or purposes other than peer review not permitted prior to publication without the expressed written permission from the author.

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Authors and Affiliations

  1. Department of Computer Science and Engineering, State University of New York, Buffalo, New York, USA

    Hui Li & Aidong Zhang

  2. Department of Orthopedics, State University of New York, Buffalo, New York, USA

    Lawrence Bone & Cathy Buyea

  3. Department of Pharmaceutical Sciences, State University of New York, Buffalo, New York, USA

    Murali Ramanathan

  4. Department of Neurology, State University of New York, Buffalo, New York, USA

    Murali Ramanathan

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  1. Hui Li
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  2. Aidong Zhang
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  3. Lawrence Bone
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Correspondence to Murali Ramanathan.

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Li, H., Zhang, A., Bone, L. et al. A Network Modeling Approach for the Spatial Distribution and Structure of Bone Mineral Content. AAPS J 16, 478–487 (2014). https://doi.org/10.1208/s12248-014-9585-8

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  • DOI: https://doi.org/10.1208/s12248-014-9585-8

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