Mathematical Modelling of the Human Cardiovascular System

Book Description

and numerical modelling of the human cardiovascular system has attracted remarkable research interest due to its intrinsic 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 , analysing the associated mathematical that comprise PDE and ODE , 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 quantiļ¬cation and the development of reduced-order that are important when solving problems with high complexity, which would otherwise be out of reach.

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