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Titre : Cardiovascular mathematics. Volume 1 : modeling and simulation of the circulatory system Type de document : texte imprimé Auteurs : Luca FORMAGGIA, Editeur scientifique ; Alfio QUARTERONI, Editeur scientifique ; Alessandro VENEZIANI, Editeur scientifique Editeur : Cham : Springer Année de publication : 2009 Collection : Modeling, Simulation & Applications, ISSN 2037-5255 Importance : VIII-522 p. Présentation : ill. ISBN/ISSN/EAN : 978-88-470-1151-9 Langues : Anglais Mots-clés : fluide physiologie cardiologie système dynamique équation différentielle mathématique cardiovasculaire biologie Résumé : Cardiovascular diseases have a major impact in Western countries. Mathematical models and numerical simulations can help the understanding of physiological and pathological processes, complementing the information provided to medical doctors by medical imaging and other non-invasive means, and opening the possibility of a better diagnosis and more in-depth surgical planning.This book offers a mathematically sound and up-to-date foundation to the training of researchers, and serves as a useful reference for the development of mathematical models and numerical simulation codes. It is structured into different chapters, written by recognized experts in the field, and however it features a common thread, with consistency of notation and expressions and systematic cross-referencing. Many fundamental issues are faced, such as: the mathematical representation of vascular geometries extracted from medical images, modelling blood rheology and the complex multilayer structure of the vascular tissue, and its possible pathologies, the mechanical and chemical interaction between blood and vascular walls; the different scales coupling local and systemic dynamics. All of these topics introduce challenging mathematical and numerical problems, demanding for advanced analysis and simulation techniques. This book is addressed to graduate students and researchers in the field of bioengineering, applied mathematics and medicine, wishing to engage themselves in the fascinating task of modeling how the cardiovascular system works. Note de contenu : index, références En ligne : http://www.springer.com/mathematics/applications/book/978-88-470-1151-9 Cardiovascular mathematics. Volume 1 : modeling and simulation of the circulatory system [texte imprimé] / Luca FORMAGGIA, Editeur scientifique ; Alfio QUARTERONI, Editeur scientifique ; Alessandro VENEZIANI, Editeur scientifique . - Cham : Springer, 2009 . - VIII-522 p. : ill.. - (Modeling, Simulation & Applications, ISSN 2037-5255) .
ISBN : 978-88-470-1151-9
Langues : Anglais
Mots-clés : fluide physiologie cardiologie système dynamique équation différentielle mathématique cardiovasculaire biologie Résumé : Cardiovascular diseases have a major impact in Western countries. Mathematical models and numerical simulations can help the understanding of physiological and pathological processes, complementing the information provided to medical doctors by medical imaging and other non-invasive means, and opening the possibility of a better diagnosis and more in-depth surgical planning.This book offers a mathematically sound and up-to-date foundation to the training of researchers, and serves as a useful reference for the development of mathematical models and numerical simulation codes. It is structured into different chapters, written by recognized experts in the field, and however it features a common thread, with consistency of notation and expressions and systematic cross-referencing. Many fundamental issues are faced, such as: the mathematical representation of vascular geometries extracted from medical images, modelling blood rheology and the complex multilayer structure of the vascular tissue, and its possible pathologies, the mechanical and chemical interaction between blood and vascular walls; the different scales coupling local and systemic dynamics. All of these topics introduce challenging mathematical and numerical problems, demanding for advanced analysis and simulation techniques. This book is addressed to graduate students and researchers in the field of bioengineering, applied mathematics and medicine, wishing to engage themselves in the fascinating task of modeling how the cardiovascular system works. Note de contenu : index, références En ligne : http://www.springer.com/mathematics/applications/book/978-88-470-1151-9 Exemplaires
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