Cardiovascular Mathematics Modeling and simulation of the circulatory system

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 openi...

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Bibliographic Details
Other Authors: Formaggia, Luca (Editor), Quarteroni, Alfio (Editor), Veneziani, Allesandro (Editor)
Format: eBook
Language:English
Published: Milano Springer Milan 2009, 2009
Edition:1st ed. 2009
Series:MS&A, Modeling, Simulation and Applications
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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