Alfio Quarteroni

eBook, ePUB

Mathematical Modelling of the Human Cardiovascular System (eBook, ePUB)

Data, Numerical Approximation, Clinical Applications

Beschreibung

Mathematical and numerical modelling of the human cardiovascular system has attracted remarkable research interest due to its intrinsic mathematical difficulty and the increasing impact of cardiovascular diseases worldwide. This book addresses the two principal components of the cardiovascular system: arterial circulation and heart function. It systematically describes all aspects of the problem, stating the basic physical principles, analysing the associated mathematical models that comprise PDE and ODE systems, reviewing sound and efficient numerical methods for their approximation, and simulating both benchmark problems and clinically inspired problems. Mathematical modelling itself imposes tremendous challenges, due to the amazing complexity of the cardiovascular system and the need for computational methods that are stable, reliable and efficient. The final part is devoted to control and inverse problems, including parameter estimation, uncertainty quantification and the development of reduced-order models that are important when solving problems with high complexity, which would otherwise be out of reach.

Technische Details

• Geräte: eReader
• mit Kopierschutz
• Größe: 11.95MB
• FamilySharing(5)

Barrierefreiheit

• Text-to-Speech

Autor

Alfio Quarteroni is Professor of Numerical Analysis at Politecnico di Milano. He has authored twenty-five books and over 350 papers in international scientific journals and conference proceedings. He received many awards and honours in recognition of his work, and is a member of the Italian Academy of Science, the European Academy of Science and the Academia Europaea. His research interests include mathematical modelling and its applications.

Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 9. Mai 2019
• Englisch
• ISBN-13: 9781108570534
• Artikelnr.: 57077276