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.
Funding agency
The work was funded by the Federal
Medical-Biological Agency of the Russian Federation and the US
Department of Energy's Office of International Health Programs in
the framework of joint US-Russian Project 1.1.
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
\Bibitem{ZalTimShi18}
\by V.~I.~Zalyapin, Yu.~S.~Timofeev, E.~A.~Shishkina
\paper A parametric stochastic model of bone geometry
\jour Vestnik YuUrGU. Ser. Mat. Model. Progr.
\yr 2018
\vol 11
\issue 2
\pages 44--57
\mathnet{http://mi.mathnet.ru/vyuru430}
\crossref{https://doi.org/10.14529/mmp180204}
\elib{https://elibrary.ru/item.asp?id=32711848}
Linking options:
https://www.mathnet.ru/eng/vyuru430
https://www.mathnet.ru/eng/vyuru/v11/i2/p44
This publication is cited in the following 9 articles:
E. A. Shishkina, P. A. Sharagin, E. I. Tolstykh, “Effect of variability of human bone morphometric parameters on the uncertainty of internal bone marrow doses due to <sup>90</sup>Sr”, Radiac. gig. (2008), 17:1 (2024), 60
PA Sharagin, EI Tolstykh, EA Shishkina, “Computational phantom for the dosimetry of the red bone marrow of a 10-year-old child due to incorporated beta-emitters”, MES, 2024, no. 2024(2)
Elena Shishkina, Alina Shuiskaya, Pavel Sharagin, “Bone marrow dosimetry for mice: exposure from bone-seeking 89,90Sr”, Radiat Environ Biophys, 62:1 (2023), 131
PA Sharagin, EI Tolstykh, EA Shishkina, “Computational phantom for a 5-year old child red bone marrow dosimetry due to incorporated beta emitters”, MES, 2023, no. 2023(4)
P. A. Sharagin, E. A. Shishkina, E. I. Tolstykh, M. O. Degteva, “The effect of detailing the trabecular structure of bone phantoms on the assessment of the bone marrow dose from 89,90Sr”, Radiac. gig. (2008), 15:4 (2023), 7
E. A. Shishkina, P. A. Sharagin, E. A. Tolstykh, “The uncertainty of estimation of doses to the bone marrow from <sup>89,90</sup>Sr due to the variability of the chemical composition and bone density”, Radiac. gig. (2008), 16:2 (2023), 32
PA Sharagin, EA Shishkina, EI Tolstykh, “Computational red bone marrow dosimetry phantom of a one-year-old child enabling assessment of exposure due to incorporated beta emitters”, MES, 2023, no. 2023(3)
A. Yu. Volchkova, P. A. Sharagin, E. A. Shishkina, “Internal bone marrow dosimetry: the effect of the exposure due to 90Sr incorporated in the adjacent bone segments”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 15:4 (2022), 44–58
PA Sharagin, EA Shishkina, EI Tolstykh, “Computational phantom for red bone marrow dosimetry from incorporated beta emitters in a newborn baby”, MES, 2022, no. 2022(4)
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