Alfio Quarteroni

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

Data, Numerical Approximation, Clinical Applications

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 9. Mai 2019
• Englisch
• ISBN-13: 9781108572293
• Artikelnr.: 56566552

Autorenporträt

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.

Inhaltsangabe

Introduction
Part I. Arterial Circulation: 1. Basic facts about quantitative physiology
2. An insight into vascular data
3. Modelling blood flow
Part II. Heart Function: 4. Basic facts on quantitative cardiac physiology
5. An insight into cardiac data
6. Modelling the heart
Part III. Optimization, Control, Uncertainty and Complexity Reduction: 7. Beyond direct simulation
8. Control and optimization
9. Parameter estimation from clinical data
10. Accounting for uncertainty
11. Reduced-order modelling
References
Index.