Cardiovascular Mathematics

Modeling and simulation of the circulatory system

Luca Formaggia, Alfio Quarteroni, Allesandro Veneziani (Herausgeber)

Buch | Softcover

522 Seiten

2016 | Softcover reprint of the original 1st ed. 2009
Springer Verlag
978-88-470-5805-7 (ISBN)

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Cardiovascular diseases have a major impact in Western countries. Mathematical models and numerical simulations can aid 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, but it features a common thread with consistency of notation and expressions and systematic cross-referencing.

Physiology and pathology of the cardiovascular system: A physical perspective.- Basic mathematical models and motivations.- The derivation of the equations for fluids and structure.- From image data to computational domains.- Geometry and flow.- Rheological models for blood.- Mathematical models of mass transfer in the vascular walls.- Analysis of coupled models for fluid-structure interaction of internal flows.- Algorithms for fluid-structure interaction problems.- Reduced models of the cardiovascular system.- Multiscale models of the vascular system.- Applications and test cases.

Erscheinungsdatum	18.08.2022
Reihe/Serie	MS & A ; 1
Zusatzinfo	XIII, 522 p.
Verlagsort	Milan
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Medizinische Fachgebiete ► Innere Medizin ► Kardiologie / Angiologie
	Naturwissenschaften ► Biologie
Schlagworte	biomedical engineering • Cardiology • Cardiovascular • computer applications in life sciences • Diagnosis • Human Physiology • partial differential equation • Partial differential equations • Radiologieinformationssystem • Simulation and modeling • tissue • Vascular
ISBN-10	88-470-5805-8 / 8847058058
ISBN-13	978-88-470-5805-7 / 9788847058057
Zustand	Neuware