A parametric stochastic model of bone geometry
Автор: Zalyapin V.I., Timofeev Yu.S., Shishkina E.A.
Рубрика: Математическое моделирование
Статья в выпуске: 2 т.11, 2018 года.
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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.
Micro- and macro- structure of the trabecular bone, stochastic modelling, voxelization
Короткий адрес: https://sciup.org/147232884
IDR: 147232884 | DOI: 10.14529/mmp180204
Список литературы A parametric stochastic model of bone geometry
- Cox, L.G.E. Analysis of Bone Architecture Sensitivity for Changes in Mechanical Loading, Cellular Activity, Mechanotransduction, and Tissue Properties / L.G.E. Cox, B. van Rietbergen, C.C. van Donkelaar, K. Ito // Biomechanics and Modeling in Mechanobiology. - 2011. - V. 10, № 2. - P. 701-712.
- Vaughan, T.J. Multiscale Modeling of Trabecular Bone Marrow: Understanding the Micromechanical Environment of Mesenchymal Stem Cells During Osteoporosis / T.J. Vaughan, M. Voisin, G.L. Niebur, L.M. McNamara // Journal of Biomechanical Engineering. - 2015. - V. 137, № 1. - P. 011003.
- McParland, B.J. Nuclear Medicine Radiation Dosimetry: Advanced Theoretical Principles / B.J. McParland. - London: Springer Science and Business Media, 2010.
- Dant, J.T. Monte Carlo Simulation of Age-Dependent Radiation Dose from Alpha - and Beta-Emitting Radionuclides to Critical Trabecular Bone and Bone Marrow Targets / J.T. Dant, R.B. Richardson, L.H. Nie // Physics in Medicine and Biology. - 2013. - V. 58, № 10. - P. 3301-3319.
- Bolch, W.E. Hybrid Computational Phantoms for Medical Dose Reconstruction / W.E. Bolch, C. Lee, M. Wayson, P. Johnson // Radiation Environmental Biophysics. - 2010. - V. 49, № 2. - P. 155-168.
- Pafundi, D. An Image-Based Skeletal Dosimetry Model for the ICRP Reference Newborn - Internal Electron Sources / D. Pafundi, D. Rajon, D. Jokisch, C. Lee, W. Bolch // Physics in Medicine and Biology. - 2010. - V. 55, № 7. - P. 1785-1814.
- Hough, M. An Image-Based Skeletal Dosimetry Model for the ICRP Reference Adult Male - Internal Electron Sources / M. Hough, P. Johnson, D. Rajon, D. Jokisch, C. Lee, W. Bolch // Physics in Medicine and Biology. - 2010. - V. 56, № 8. - P. 2309-2346.
- O'Reilly, Sh.E. An Image-Based Skeletal Dosimetry Model for the ICRP Reference Adult Female - Internal Electron Sources / Sh.E. O'Reilly, L.S. DeWeese, M.R. Maynard, D. Rajon, M.B. Wayson, E.L. Marshall, W. Bolch // Physics in Medicine and Biology. - 2016. - V. 61, № 24. - P. 8794-8824.
- Fazzalari, N. Antero-Postero Differences in Cortical Thickness and Cortical Porosity of T12 to L5 Vertebral Bodies / N.L. Fazzalari, I.H. Parkinson, Q.A. Fogg, P. Sutton-Smith // Joint Bone Spine. - 2006. - V. 73, № 3. - P. 293-297.
- Волчкова, А.Ю. Влияние формы кости на мощность дозы в костном мозге человека / А.Ю. Волчкова, Е.А. Шишкина, Е.И. Толстых // Адаптация биологических систем к природным и экстремальным факторам окружающей среды: Материалы VI Международной научно-практической конференции, Челябинск, ноябрь 8-9, 2016. - Челябинск, 2016. - С. 36-41.
- Roberts, S. On Some Geometric Properties of Human Ribs / S. Roberts, P. Chen // Journal of Biomechanics. - 1970. - V. 3. - P. 527-545.
- Li, Z. Influence of Mesh Density, Cortical Thickness and Material Properties on Human Rib Fracture Prediction / Z. Li, M.W. Kindig, D. Subit, R.W. Kent // Medical Engineering and Physics. - 2010. - V. 32, № 9. - P. 998-1008.
- Sutton-Smith, P. Quantitative Backscattered Electron Microscopy of Normal and Osteoporotic Bone / P. Sutton-Smith, H. Beard, N.L. Fazzalari // Proceedings of the Annual Scientific Meeting of the Australian and New Zealand Bone and Mineral Society. - Perth, 2005.
- Da Silva, A.M.H. Two and Three-Dimensional Morphometric Analysis of Trabecular Bone Using X-ray Microtomography (uCT) / A.M.H. Da Silva, J.M. Alves, O.L. Da Silva, N.F. Da Silva Junior // Revista Brasileira de Engenharia Biomédica. - 2014. - V. 30, № 2. - P. 93-101.
- Connor, D.M. Comparison of Diffraction-Enhanced Computed Tomography and Monochromatic Synchrotron Radiation Computed Tomography of Human Trabecular Bone / D.M. Connor, H.D. Hallen, D.S. Lalush, D.R. Sumner, Z. Zhong // Physics in Medicine and Biology. - 2009. - V. 54, № 20. - P. 6123-6133.
- Gefen, A. Finite Element Modeling of the Microarchitecture of Cancellous Bone: Techniques And Applications / A. Gefen // Biomechanical Systems Technology. - World Scientific Publishing, 2009. - V. 3. - P. 73-112.
- Krestinina, L.Y. Leukaemia Incidence in the Techa River Cohort: 1953-2007 / L.Y. Krestinina, F.G. Davis, S. Schonfeld, D.L. Preston, M. Degteva, S. Epifanova, A.V. Akleyev // British Journal of Cancer. - 2013. - V. 109. - P. 2886-2893.
- Дегтева, М.О. Дозиметрическая система бассейна реки Теча: настоящее и будущее / М.О. Дегтева, Е.И. Толстых, М.И. Воробьева, Н.Б. Шагина, Е.А. Шишкина, Н.Г. Бугров // Вопросы радиационной безопасности. - 2006. - № 1. - C. 81-95.
- Волчкова, А.Ю. Расчет дозы внутреннего облучения зубной эмали на базе набора воксельных фантомов на примере 1-го нижнего резца / А.Ю. Волчкова, Д.А. Чувакова, Е.А. Шишкина // Проблемы радиационной безопасности (Научный журнал производственного объединения Маяк). - 2009. - № 56. - С. 66-75.
- Knuth, D.E. The Art of Computer Programming. Vol. II, Seminumerical Algorithms / D.E. Knuth. - N.Y.: Addison-Wesley Longman, 1998.
