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JOURNALS // Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie // Archive

Vestnik YuUrGU. Ser. Mat. Model. Progr., 2018 Volume 11, Issue 2, Pages 44–57 (Mi vyuru430)

This article is cited 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.

UDC: 004.942+001.851.573

MSC: 62P10

Received: 12.03.2018

Language: English

DOI: 10.14529/mmp180204



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