Fractal analysis for osteoporosis: a likelihood ratio approach

Based on the traditional fractal theory and on the paper of Stehlík, (2009) the range of fractal dimension of osteoporosis vertebras is analysed. First we give an insight into the field of fractals and the usa­ge of fractals in medicine. After this we show how the analytical tool of Stehlík, (2009)...

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Main Authors: Jessica B. Lepschy, Milan Stehlík, Mária Minárová
Format: Article
Language:English
Published: Mendel University Press 2010-01-01
Series:Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis
Subjects:
Online Access:https://acta.mendelu.cz/58/3/0119/
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author Jessica B. Lepschy
Milan Stehlík
Mária Minárová
author_facet Jessica B. Lepschy
Milan Stehlík
Mária Minárová
author_sort Jessica B. Lepschy
collection DOAJ
description Based on the traditional fractal theory and on the paper of Stehlík, (2009) the range of fractal dimension of osteoporosis vertebras is analysed. First we give an insight into the field of fractals and the usa­ge of fractals in medicine. After this we show how the analytical tool of Stehlík, (2009) may be applied to the osteoporosis vertebras. It turns out that the used method can be applied very well and that it could help with medical diagnosis. Real data example illustrates the methods discussed.
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spelling doaj.art-34e4b70c52c543caa58494f67bac6f672022-12-22T03:31:17ZengMendel University PressActa Universitatis Agriculturae et Silviculturae Mendelianae Brunensis1211-85162464-83102010-01-0158311913010.11118/actaun201058030119Fractal analysis for osteoporosis: a likelihood ratio approachJessica B. Lepschy0Milan Stehlík1Mária Minárová2Ústav aplikované statistiky, JKU Linz, Freistädter Straße 315, A-4040 Linz a. D., RakouskoÚstav aplikované statistiky, JKU Linz, Freistädter Straße 315, A-4040 Linz a. D., RakouskoKMDG, Stavebná fakulta STU, Radlinského 11, 813 68 Bratislava, Slovenská republikaBased on the traditional fractal theory and on the paper of Stehlík, (2009) the range of fractal dimension of osteoporosis vertebras is analysed. First we give an insight into the field of fractals and the usa­ge of fractals in medicine. After this we show how the analytical tool of Stehlík, (2009) may be applied to the osteoporosis vertebras. It turns out that the used method can be applied very well and that it could help with medical diagnosis. Real data example illustrates the methods discussed.https://acta.mendelu.cz/58/3/0119/fractalsfractal dimensiondeterministic and stochastic modelsosteoporosiscancerlikelihood ratio statistics
spellingShingle Jessica B. Lepschy
Milan Stehlík
Mária Minárová
Fractal analysis for osteoporosis: a likelihood ratio approach
Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis
fractals
fractal dimension
deterministic and stochastic models
osteoporosis
cancer
likelihood ratio statistics
title Fractal analysis for osteoporosis: a likelihood ratio approach
title_full Fractal analysis for osteoporosis: a likelihood ratio approach
title_fullStr Fractal analysis for osteoporosis: a likelihood ratio approach
title_full_unstemmed Fractal analysis for osteoporosis: a likelihood ratio approach
title_short Fractal analysis for osteoporosis: a likelihood ratio approach
title_sort fractal analysis for osteoporosis a likelihood ratio approach
topic fractals
fractal dimension
deterministic and stochastic models
osteoporosis
cancer
likelihood ratio statistics
url https://acta.mendelu.cz/58/3/0119/
work_keys_str_mv AT jessicablepschy fractalanalysisforosteoporosisalikelihoodratioapproach
AT milanstehlik fractalanalysisforosteoporosisalikelihoodratioapproach
AT mariaminarova fractalanalysisforosteoporosisalikelihoodratioapproach