Mathematical Modelling of the Human Cardiovascular System: Data, Numerical Approximation, Clinical Applications (Hardcover) (ISBN-13: 9781108480390)

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.

Author: Alfio Quarteroni, Luca Dede', Andrea Manzoni
ISBN-10: 110848039X
ISBN-13: 9781108480390
Publisher: Cambridge University Press
Language: English
Published: 05/09/2019
Pages: 290
Format: Hardcover
Weight: 1.70lbs
Size: 10.00h x 8.40w x 0.70d