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Mathematical Modelling of the Human Cardiovascular System
Alfio QuarteroniLuca Dede'Andrea ManzoniChristian Vergara
其他書名
Data, Numerical Approximation, Clinical Applications
出版Cambridge University Press, 2019-05-09
主題Mathematics / GeneralMathematics / AppliedMathematics / Discrete MathematicsMedical / CardiologyMedical / PhysiologyScience / Life Sciences / BiologyTechnology & Engineering / Biomedical
ISBN110848039X9781108480390
URLhttp://books.google.com.hk/books?id=gm2MDwAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋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.