Acta Univ. Agric. Silvic. Mendelianae Brun. 2010, 58(3), 119-130 | DOI: 10.11118/actaun201058030119
Fraktálna analýza osteoporózy: prístup podielom vierohodnosti
- 1 Ústav aplikované statistiky, JKU Linz, Freistädter Straße 315, A-4040 Linz a. D., Rakousko
- 2 KMDG, Stavebná fakulta STU, Radlinského 11, 813 68 Bratislava, Slovenská republika
Na základe klasickej teórii fraktálov a článku Stehlík, (2009) sa zaoberáme analýzov fraktálnej dimenzie osteoporotických stavcov. Na začiatku článku približujeme užitočné výsledky z teórie fraktálov a ich použitie v medicíne. Potom ilustrujeme použitie analytického nástroja z Stehlík, (2009) na fraktálnu dimenziu osteoporotických stavcov. Ukazuje sa, že metóda môže slúžiť ako pomocný analytický nástroj pre diagnostiku ostoporózy.
fraktály, fraktálna dimenzia, deterministické a stochastické modely, osteporóza, rakovina, podiel vierohodnosti, chi-kvadrát rozdelenie
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) 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.
Keywords: fractals, fractal dimension, deterministic and stochastic models, osteoporosis, cancer, likelihood ratio statistics, chi-square distribution
Grants and funding:
We acknowledge grants VEGA 1/0269/09, APVV - 0351 - 07.
Received: April 13, 2010; Published: September 27, 2014 Show citation
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