Cardiovascular Mathematics: Modeling and simulation of the circulatory system
Author:   Luca Formaggia ,  Alfio Quarteroni ,  Allesandro Veneziani
Publisher:   Springer Verlag
Edition:   Softcover reprint of the original 1st ed. 2009
Volume:   1
ISBN:  

9788847058057


Pages:   522
Publication Date:   23 August 2016
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Cardiovascular Mathematics: Modeling and simulation of the circulatory system


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Overview

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.

Full Product Details

Author:   Luca Formaggia ,  Alfio Quarteroni ,  Allesandro Veneziani
Publisher:   Springer Verlag
Imprint:   Springer Verlag
Edition:   Softcover reprint of the original 1st ed. 2009
Volume:   1
Weight:   1.099kg
ISBN:  

9788847058057


ISBN 10:   8847058058
Pages:   522
Publication Date:   23 August 2016
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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.

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