%0 Book Section %1 quarteroni2004mathematical %A Quarteroni, Alfio %A Formaggia, Luca %B Computational Models for the Human Body %D 2004 %I Elsevier %K circulation %P 3 - 127 %R https://doi.org/10.1016/S1570-8659(03)12001-7 %T Mathematical Modelling and Numerical Simulation of the Cardiovascular System %U http://www.sciencedirect.com/science/article/pii/S1570865903120017 %V 12 %X Publisher Summary The development of mathematical models, algorithms and numerical simulation tools for the investigation of the human cardiovascular system has received a great impulse in the past years. This chapter addresses the problem of developing models for the numerical simulation of the human circulatory system. It particularly focuses on the problem of hemodynamics in large human arteries. There are several important aspects, which require the use of sophisticated mathematical and numerical tools, such as the reconstruction of geometries from medical data; the transport of biochemicals in blood and vessel wall tissue; the heart dynamics; and blood rheology. Besides, the need of validating the models calls for development of accurate in-vivo measurement techniques. The number and complexity of the mathematical, numerical and technological problems involved makes the development of tools for accurate, reliable and efficient simulations of the human cardiovascular system one of the challenges of the next decades.

@incollection{quarteroni2004mathematical, abstract = {Publisher Summary The development of mathematical models, algorithms and numerical simulation tools for the investigation of the human cardiovascular system has received a great impulse in the past years. This chapter addresses the problem of developing models for the numerical simulation of the human circulatory system. It particularly focuses on the problem of hemodynamics in large human arteries. There are several important aspects, which require the use of sophisticated mathematical and numerical tools, such as the reconstruction of geometries from medical data; the transport of biochemicals in blood and vessel wall tissue; the heart dynamics; and blood rheology. Besides, the need of validating the models calls for development of accurate in-vivo measurement techniques. The number and complexity of the mathematical, numerical and technological problems involved makes the development of tools for accurate, reliable and efficient simulations of the human cardiovascular system one of the challenges of the next decades.}, added-at = {2019-02-12T23:13:43.000+0100}, author = {Quarteroni, Alfio and Formaggia, Luca}, biburl = {https://www.bibsonomy.org/bibtex/21993873cf2a330696c35a8002b131ebd/tobydriscoll}, booktitle = {Computational Models for the Human Body}, description = {Mathematical Modelling and Numerical Simulation of the Cardiovascular System - ScienceDirect}, doi = {https://doi.org/10.1016/S1570-8659(03)12001-7}, interhash = {46aca51f2f95ad37def7a17718b5f389}, intrahash = {1993873cf2a330696c35a8002b131ebd}, issn = {1570-8659}, keywords = {circulation}, pages = {3 - 127}, publisher = {Elsevier}, series = {Handbook of Numerical Analysis}, timestamp = {2019-02-12T23:13:43.000+0100}, title = {Mathematical Modelling and Numerical Simulation of the Cardiovascular System}, url = {http://www.sciencedirect.com/science/article/pii/S1570865903120017}, volume = 12, year = 2004 }