A Parametric Stochastic Model of Bone Geometry

Authors

  • V. I. Zalyapin South Ural State University
  • Yu. S. Timofeev Ural Research Center for Radiation Medicine
  • E. A. Shishkina Ural Research Center for Radiation Medicine

DOI:

https://doi.org/10.14529/mmp180204

Keywords:

micro- and macro- structure of the trabecular bone, stochastic modelling, voxelization.

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 lled 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-specic 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.

Author Biographies

V. I. Zalyapin, South Ural State University

Candidate of Physico-Mathematical Sciences, Professor

Yu. S. Timofeev, Ural Research Center for Radiation Medicine

Candidate of Engineering Sciences

E. A. Shishkina, Ural Research Center for Radiation Medicine

Candidate of Biological Sciences

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Published

2018-06-23

Issue

Section

Mathematical Modelling