| Description |
1 online resource (x, 280 pages) : illustrations (chiefly color) |
| Series |
Cambridge monographs on applied and computational mathematics series ; 33 |
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Cambridge monographs on applied and computational mathematics ; 33.
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| Contents |
Part One. Arterial circulation. 1. Basic facts about quantitative physiology -- 2. An insight into vascular data -- 3. Modelling blood flow -- Part Two. Heart function. 4. Basic facts on quantitative cardiac physiology -- 5. An insight into cardiac data -- 6. Modelling the heart -- Part Three. Optimization, control, uncertainty and complex reduction. 7. Beyond direct simulation -- 8. Control and optimization -- 9. Parameter estimation from clinical data -- 10. Accounting for uncertainty -- 11. Reduced-order modelling |
| Summary |
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.-- Provided by publisher |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Alfio Quarteroni is Professor of Numerical Analysis at Politecnico di Milano. Luca Dedè is Assistant Professor in Numerical Analysis at Politecnico di Milano. Andrea Manzoni is Assistant Professor in Numerical Analysis at Politecnico di Milano. Christian Vergara is Associate Professor in Numerical Analysis at Politecnico di Milano |
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Print version record |
| Subject |
Cardiovascular system -- Mathematical models
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Models, Cardiovascular
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Blood Circulation -- physiology
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Modelos matemáticos
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Cardiovascular system -- Mathematical models
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| Form |
Electronic book
|
| Author |
Dede', Luca, author.
|
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Manzoni, Andrea, author.
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Vergara, Christian, author.
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| ISBN |
9781108616096 |
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1108616097 |
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