Publication detail

Bone mineral density modeling via random field: Normality, stationarity, sex and age dependence

HENYŠ, P. VOŘECHOVSKÝ, M. KUCHAŘ, M. HEINEMANN, A. KOPAL, J. ONDRUSCHKA, B. HAMMER, N.

Original Title

Bone mineral density modeling via random field: Normality, stationarity, sex and age dependence

Type

journal article in Web of Science

Language

English

Original Abstract

Background and Objective: Capturing the population variability of bone properties is of paramount importance to biomedical engineering. The aim of the present paper is to describe variability and correlations in bone mineral density with a spatial random field inferred from routine computed tomography data. Methods: Random fields were simulated by transforming pairwise uncorrelated Gaussian random variables into correlated variables through the spectral decomposition of an age-detrended correlation matrix. The validity of the random field model was demonstrated in the spatiotemporal analysis of bone mineral density . The similarity between the computed tomography samples and those generated via random fields was analyzed with the energy distance metric. Results: The random field of bone mineral density was found to be approximately Gaussian/slightly leftskewed/strongly right-skewed at various locations. However, average bone density could be simulated well with the proposed Gaussian random field for which the energy distance, i.e., a measure that quantifies discrepancies between two distribution functions, is convergent with respect to the number of correlation eigenpairs. Conclusions: The proposed random field model allows the enhancement of computational biomechanical models with variability in bone mineral density, which could increase the usability of the model and provides a step forward in in-silico medicine. (c) 2021 Elsevier B.V. All rights reserved.

Keywords

Shape registration; Karhunen-Loeve expansion; Finite element method; Uncertainty quantification

Authors

HENYŠ, P.; VOŘECHOVSKÝ, M.; KUCHAŘ, M.; HEINEMANN, A.; KOPAL, J.; ONDRUSCHKA, B.; HAMMER, N.

Released

8. 7. 2021

Publisher

ELSEVIER IRELAND LTD

Location

CLARE

ISBN

0169-2607

Periodical

COMPUTER METHODS AND PROGRAMS IN BIOMEDICINE

Year of study

210

Number

106353

State

Kingdom of the Netherlands

Pages from

106353

Pages to

106363

Pages count

10

URL

https://doi.org/10.1016/j.cmpb.2021.106353

BibTex

@article{BUT175180,
  author="Petr {Henyš} and Miroslav {Vořechovský} and Michal {Kuchař} and Alex {Heinemann} and Jiří {Kopal} and Benjamin {Ondruschka} and Niels {Hammer}",
  title="Bone mineral density modeling via random field: Normality, stationarity, sex and age dependence",
  journal="COMPUTER METHODS AND PROGRAMS IN BIOMEDICINE",
  year="2021",
  volume="210",
  number="106353",
  pages="106353--106363",
  doi="10.1016/j.cmpb.2021.106353",
  issn="0169-2607",
  url="https://doi.org/10.1016/j.cmpb.2021.106353"
}