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Multifraktalität in den Biomedizin- und Gesundheitswissenschaften
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ISBN10: 6630101057
ISBN13: 9786630101058
Publisher: Verlag Unser Wissen
Published: Jun 20 2026
Pages: 56
Weight: 0.19
Height: 0.13 Width: 6.00 Depth: 9.00
Language: German
ISBN13: 9786630101058
Publisher: Verlag Unser Wissen
Published: Jun 20 2026
Pages: 56
Weight: 0.19
Height: 0.13 Width: 6.00 Depth: 9.00
Language: German
Das Buch beginnt mit einer Einführung in die Komplexität biologischer Systeme und erläutert die Bedeutung von Fraktalen und Multifraktalen für das Verständnis physiologischer Variabilität und Krankheitsdynamik. Es behandelt die mathematischen Grundlagen der Multifraktaltheorie, darunter Skalierungsgesetze, Potenzgesetzbeziehungen, fraktale Dimensionen und multifraktale Spektren, und liefert damit den für biomedizinische Anwendungen erforderlichen theoretischen Rahmen. Fortgeschrittene multifraktale Analysetechniken wie Box-Counting-Verfahren, Wavelet-Transformationen und die detrendierte Fluktuationsanalyse werden ausführlich vorgestellt, ebenso wie ihre Anwendungen in der biomedizinischen Signalverarbeitung und der medizinischen Bildanalyse. Ein besonderer Schwerpunkt liegt auf den Herz-Kreislauf-Wissenschaften und den Neurowissenschaften. Das Buch erläutert, wie multifraktale Methoden zur Untersuchung der Herzfrequenzvariabilität, der Blutflussdynamik, von Herzrhythmusstörungen, neuronaler Komplexität, EEG-Signalen, Epilepsie, der Alzheimer-Krankheit, der Schlafdynamik und von Gehirn-Computer-Schnittstellen eingesetzt werden. Im gesamten Text veranschaulichen biomedizinische Beispiele aus der Praxis, wie die multifraktale Analyse die Krankheitsdiagnose, die physiologische Überwachung, die medizinische Bildgebung, die prädiktive Gesundheitsversorgung und intelligente klinische Systeme unterstützt.
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