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La multifractalité dans les sciences biomédicales et de la santé
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ISBN10: 6630106172
ISBN13: 9786630106176
Publisher: Editions Notre Savoir
Published: Jun 22 2026
Pages: 60
Weight: 0.21
Height: 0.14 Width: 6.00 Depth: 9.00
Language: French
ISBN13: 9786630106176
Publisher: Editions Notre Savoir
Published: Jun 22 2026
Pages: 60
Weight: 0.21
Height: 0.14 Width: 6.00 Depth: 9.00
Language: French
Cet ouvrage s'ouvre sur une introduction à la complexité des systèmes biologiques et explique l'importance des fractales et des multifractales pour la compréhension de la variabilité physiologique et de la dynamique des maladies. Il aborde les fondements mathématiques de la théorie multifractale, notamment les lois d'échelle, les relations de loi de puissance, les dimensions fractales et les spectres multifractaux, fournissant ainsi le cadre théorique nécessaire aux applications biomédicales. Des techniques avancées d'analyse multifractale, telles que les méthodes de comptage de boîtes, les transformées en ondelettes et l'analyse des fluctuations détendues, sont présentées en détail, ainsi que leurs applications au traitement des signaux biomédicaux et à l'analyse d'images médicales. Une attention particulière est accordée aux sciences cardiovasculaires et aux neurosciences. L'ouvrage explique comment les méthodes multifractales sont utilisées pour étudier la variabilité de la fréquence cardiaque, la dynamique du flux sanguin, les arythmies cardiaques, la complexité neuronale, les signaux EEG, l'épilepsie, la maladie d'Alzheimer, la dynamique du sommeil et les interfaces cerveau-ordinateur. Tout au long du texte, des exemples biomédicaux concrets démontrent comment l'analyse multifractale soutient le diagnostic des maladies, la surveillance physiologique, l'imagerie médicale, les soins de santé prédictifs et les systèmes cliniques intelligents.
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