Mathematical Modelling of the Human Cardiovascular System: Data, Numerical Approximation, Clinical Applications: 33 (Cambridge Monographs on Applied and Computational Mathematics, Series Number 33) - Tapa dura

Mathematical Modelling of the Human Cardiovascular System (Hardcover)

Hardcover. Condición: new. Hardcover. 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 quantication and the development of reduced-order models that are important when solving problems with high complexity, which would otherwise be out of reach. The mathematical modelling of the human cardiovascular system, from patient data to clinical applications, is discussed in this book. It gives researchers an overview of the main differential problems underlying the physiology and pathology of the cardiovascular system, as well as rigorous numerical methods for large-scale computation. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Nº de ref. del artículo: 9781108480390

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