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MS&A

Cardiovascular Mathematics

Modeling and simulation of the circulatory system

Editors: Formaggia, Luca, Quarteroni, Alfio, Veneziani, Alessandro (Eds.)

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eBook 63,06 €
price for Spain (gross)
  • ISBN 978-88-470-1152-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 77,99 €
price for Spain (gross)
  • ISBN 978-88-470-1151-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 77,99 €
price for Spain (gross)
  • ISBN 978-88-470-5805-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

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.

Table of contents (12 chapters)

  • Physiology and pathology of the cardiovascular system: A physical perspective

    Thiriet, Marc (et al.)

    Pages 1-45

    Preview Buy Chapter 30,19 €
  • Basic mathematical models and motivations

    Formaggia, Luca (et al.)

    Pages 47-75

    Preview Buy Chapter 30,19 €
  • The derivation of the equations for fluids and structure

    Fernández, Miguel A. (et al.)

    Pages 77-121

    Preview Buy Chapter 30,19 €
  • From image data to computational domains

    Antiga, Luca (et al.)

    Pages 123-175

    Preview Buy Chapter 30,19 €
  • Geometry and flow

    Doorly, Denis (et al.)

    Pages 177-209

    Preview Buy Chapter 30,19 €

Buy this book

eBook 63,06 €
price for Spain (gross)
  • ISBN 978-88-470-1152-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 77,99 €
price for Spain (gross)
  • ISBN 978-88-470-1151-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 77,99 €
price for Spain (gross)
  • ISBN 978-88-470-5805-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Cardiovascular Mathematics
Book Subtitle
Modeling and simulation of the circulatory system
Editors
  • Luca Formaggia
  • Alfio Quarteroni
  • Alessandro Veneziani
Series Title
MS&A
Series Volume
1
Copyright
2009
Publisher
Springer-Verlag Mailand
Copyright Holder
Springer-Verlag Milan
eBook ISBN
978-88-470-1152-6
DOI
10.1007/978-88-470-1152-6
Hardcover ISBN
978-88-470-1151-9
Softcover ISBN
978-88-470-5805-7
Series ISSN
2037-5255
Edition Number
1
Number of Pages
XIII, 522
Topics