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This article is cited in 9 scientific papers (total in 9 papers)
Mathematical Modelling
A parametric stochastic model of bone geometry
V. I. Zalyapina, Yu. S. Timofeevb, E. A. Shishkinab a South Ural State University, Chelyabinsk, Russian Federation
b Ural Research Center for Radiation Medicine, Chelyabinsk, Russian Federation
Abstract:
The aim of the present study is to develop a parametric bone modelling algorithm which takes into account bone microarchitecture. This approach allows to generate hematopoietic bone segment phantoms based on literature-derived micro- and macro dimensions. We propose a method for subdividing bones into small segments which can be described by simple geometric shapes filled with a stochastically generated rod-like model of the trabecular structure with appropriate voxel resolution. This approach avoids the disadvantages of non-parametric individual modelling based on computer tomography scans. The parametric method allows the simulation of individual variability in bone-specific dimensions. The model presented in this paper will be used to describe the geometry of hematopoietic sites, which in turn will serve as a basis for calculating the doses of irradiation of the hematopoietic cells of the bone marrow from the incorporated beta-emitters.
Keywords:
micro- and macro- structure of the trabecular bone; stochastic modelling; voxelization.
Received: 12.03.2018
Citation:
V. I. Zalyapin, Yu. S. Timofeev, E. A. Shishkina, “A parametric stochastic model of bone geometry”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 11:2 (2018), 44–57
Linking options:
https://www.mathnet.ru/eng/vyuru430 https://www.mathnet.ru/eng/vyuru/v11/i2/p44
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Abstract page: | 198 | Full-text PDF : | 53 | References: | 30 |
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