Mathematical Modelling of the Human Cardiovascular System

Data, Numerical Approximation, Clinical Applications
Erscheinungsjahr 2019
ISBN: 978-1-108-48039-0
Verlag: Cambridge University Press

Buch, Englisch, Band 33, 290 Seiten, Format (B × H): 213 mm x 254 mm, Gewicht: 771 g

Reihe: Cambridge Monographs on Applied and Computational Mathematics

The mathematical modelling of the human cardiovascular system, from patient data to clinical applications, is discussed in this book. It gives researchers an overview of the main differential problems underlying the physiology and pathology of the cardiovascular system, as well as rigorous numerical methods for large-scale computation.

Autoren/Hrsg.

Quarteroni, Alfio

Dede', Luca

Manzoni, Andrea

Vergara, Christian

Fachgebiete

• Medizin | Veterinärmedizin Medizin | Public Health | Pharmazie | Zahnmedizin Klinische und Innere Medizin Kardiologie, Angiologie, Phlebologie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Naturwissenschaften Biowissenschaften Biowissenschaften
• Medizin | Veterinärmedizin Medizin | Public Health | Pharmazie | Zahnmedizin Medizin, Gesundheitswesen Medizintechnik, Biomedizintechnik, Medizinische Werkstoffe
• Technische Wissenschaften Sonstige Technologien | Angewandte Technik Medizintechnik, Biomedizintechnik
• Mathematik | Informatik EDV | Informatik Informatik Mathematik für Informatiker

Inhaltsverzeichnis

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.

Über Autor(innen)

Quarteroni, Alfio
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.

Dede', Luca
Luca Dedè is Assistant Professor in Numerical Analysis at Politecnico di Milano. His research involves the development of efficient and accurate numerical methods for the approximation of partial differential equations, multiphysics and multiscale problems, and computational fluid dynamics.

Vergara, Christian
Christian Vergara is Associate Professor in Numerical Analysis at Politecnico di Milano. He works on the development of numerical methods for the cardiovascular system, in particular for the fluid-structure interaction problems and the electro-physiology of the ventricles. He has collaborated with hospitals and clinicians to use numerical and computational methods to address several problems of clinical interest.

Manzoni, Andrea
Andrea Manzoni is Assistant Professor in Numerical Analysis at Politecnico di Milano. His 2012 Ph.D. thesis won one of two ECCOMAS Awards for the best Ph.D. theses in Europe about Computational Methods in Applied Sciences and Engineering. His research interests include the development of reduced order modelling techniques for partial differential equations, uncertainty quantification, PDE-constrained optimization, and computational and statistical inverse problems.