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Mathematical Modelling of the Human Cardiovascular System

Mathematical Modelling of the Human Cardiovascular System

Data, Numerical Approximation, Clinical Applications

Luca Dede', Andrea Manzoni, Alfio Quarteroni, Christian Vergara

Cambridge University Press
Publication date : 2019-05-09

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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 quanti?cation 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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About the book

Author

Luca Dede' , Andrea Manzoni , Alfio Quarteroni , Christian Vergara

Imprint

Cambridge University Press

Collection

n.c

Publication date

2019-05-09

Pages

n.c

Print ISBN

9781108480390

Language

English

Ebook informations

EAN PDF

9781108572293

Price

£88.62

Copy count 0

Print count 0

File size 11274 Ko

Informations accessibility

EAN EPUB

9781108570534

Price

£88.62

Copy count 0

Print count 0

File size 12237 Ko

Informations accessibility

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About author(s)

Luca Dede'

Andrea Manzoni

Alfio Quarteroni

Christian Vergara

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