TY  - BOOK
AU  - Quarteroni,Alfio
AU  - Dede',Luca
AU  - Manzoni,Andrea
AU  - Vergara,Christian
TI  - Mathematical modelling of the human cardiovascular system: data, numerical approximation, clinical applications 
T2  - Cambridge monographs on applied and computational mathematics series
SN  - 9781108616096 (ebook)
AV  - QP105 .Q83 2019
U1  - 612.1 23
PY  - 2019///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Cardiovascular system
KW  - Mathematical models
N1  - Title from publisher's bibliographic system (viewed on 26 Mar 2019)
N2  - 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
UR  - https://doi.org/10.1017/9781108616096
ER  -