Investigation of statistical relationships between quantities describing bone architecture, its fractal dimensions and mechanical properties

Cichański, Artur<sup>1</sup>; Nowicki, Krzysztof<sup>1</sup>; Mazurkiewicz, Adam<sup>1</sup>; Topoliński, Tomasz<sup>1</sup>

Affiliations

¹Faculty of Mechanical Engineering, University of Technology and Life Sciences, Bydgoszcz, Poland

Abstract and keywords

The paper presents linear, logarithmic and exponential regression tabecular bone indices, fractal dimensions and strength. The analysis of the above parameters was supported by determining non-parametric correlation coefficients: Spearman’s ρ, gamma and Kendall’s τ. The principal components’ analysis (PCA) was also performed in order to reduce the number of indices describing the variance in the data set. The analysis showed the most independent indices: lacunarity (λ_m, λ_min, λ_max), BMD, Conn.D., SMI, DA, ρA and age.

Keywords: indices of bone architecture, lacunarity, independence of bone indices

Links

PubMed: 21361259

WoS: 000288699300010

History

Received: 2010-03-24

Accepted: 2010-10-08

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Cited By (2)

Year

Entry

2019

Cichański A, Nowicki K. Trabecular bone microstructural FEM analysis for out-of plane resolution change. In: Arkusz K, Będziński R, Klekiel T, Piszczatowski S, eds. Biomechanics in Medicine and Biology. Proceedings of the International Conference of the Polish Society of Biomechanics; September 5-7, 2018; Zielona Góra, Poland. Cham: Springer; 2019:210-218. Advances in Intelligent Systems and Computing; vol 831.

2012

Nikodem A. Correlations between structural and mechanical properties of human trabecular femur bone. Acta Bioeng Biomech. 2012;14(2):37-46.