Cambridge Monographs on Applied and Computational Mathematics: Mathematical Modelling of the Human Cardiovascular System: Data, Numerical Approximation, Clinical Applications

Author:   Alfio Quarteroni (Politecnico di Milano) ,  Luca Dede' (Politecnico di Milano) ,  Andrea Manzoni (Politecnico di Milano) ,  Christian Vergara (Politecnico di Milano)
Publisher:   Cambridge University Press
ISBN:  

9781108480390


Pages:   290
Publication Date:   09 May 2019
Format:   Hardback
Availability:   Temporarily unavailable   Availability explained
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Cambridge Monographs on Applied and Computational Mathematics: Mathematical Modelling of the Human Cardiovascular System: Data, Numerical Approximation, Clinical Applications


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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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Author:   Alfio Quarteroni (Politecnico di Milano) ,  Luca Dede' (Politecnico di Milano) ,  Andrea Manzoni (Politecnico di Milano) ,  Christian Vergara (Politecnico di Milano)
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press
Dimensions:   Width: 18.10cm , Height: 1.70cm , Length: 25.50cm
Weight:   0.780kg
ISBN:  

9781108480390


ISBN 10:   110848039
Pages:   290
Publication Date:   09 May 2019
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Temporarily unavailable   Availability explained
The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you.

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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. Luca Dede 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. 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. 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.

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