| Dewey Class |
612.1 |
| Title |
Mathematical modelling of the human cardiovascular system (M) : data, numerical approximation, clinical applications / Alfio Quarteroni, Luca Dedè, Andrea Manzoni, Christiana, Vergara. - Politecnico di Milano |
| Added Personal Name |
Quarteroni, Alfio Maria , 1952- |
| Dedè, Luca |
| Manzoni, Andrea |
| Vergara, Christian |
| Publication |
New York, NY : Cambridge University Press , [2019] |
| Physical Details |
x, 280 pages : ill. ; 24 cm |
| Series |
Cambridge monographs on applied and computational mathematics ; 33 |
| ISBN |
9781108480390 |
| Note |
Online publication date:April 2019 |
| Summary Note |
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. A solid foundation for applied mathematicians, bioengineers and computational scientists interested in modelling the cardiovascular system. Describes the most recent and efficient numerical methods for mathematical models. Examples of possible applications illustrate the relevance of the methods.: |
| Contents note |
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. |
| System details note |
Online access to the digital version of this printed book is available only to subscription institutions through IP address (only for SISSA internal users) |
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