Skip to main content
SpringerLink
Log in

Dimension Reduced Modeling of Blood Flow in Large Arteries

An Introduction for Master Students and First Year Doctoral Students

  • Book
  • © 2023

Overview

Authors:
  1. Tobias Köppl

    1. Hasselt University, Hasselt, Belgium

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Rainer Helmig

    1. IWS, University of Stuttgart, Stuttgart, Germany

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • This book is an ideal introduction to the field of dimension reduced models for blood flow in large vessels
  • Within the different chapters, key elements of Scientific Computing are presented
  • Besides flow processes also transport processes in blood vessel networks are considered

Part of the book series: Mathematical Engineering (MATHENGIN)

  • 838 Accesses

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 139.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 179.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (7 chapters)

  1. Front Matter

    Pages i-xviii
    Download chapter PDF

  2. Properties of the Cardiovascular System

    • Tobias Köppl, Rainer Helmig
    Pages 1-24

  3. Modeling Approaches for the Macrocirculation

    • Tobias Köppl, Rainer Helmig
    Pages 25-33

  4. Dimension Reduced Models for the Macrocirculation

    • Tobias Köppl, Rainer Helmig
    Pages 35-102

  5. Numerical Solution Methods

    • Tobias Köppl, Rainer Helmig
    Pages 103-193

  6. Compensation of Unilateral Carotid Stenoses

    • Tobias Köppl, Rainer Helmig
    Pages 195-207

  7. Concluding Remarks

    • Tobias Köppl, Rainer Helmig
    Pages 209-213

  8. Data and Mathematical Tools

    • Tobias Köppl, Rainer Helmig
    Pages 215-231

  9. Back Matter

    Pages 233-234
    Download chapter PDF
Back to top

Keywords

About this book

This monograph contains an in-depth and coherent treatment of dimension-reduced modeling of blood flows on the level of large vessels (macrocirculation). The authors reduce the complexity by combining a one-dimensional Navier-Stokes equation and a simplified FSI-concept. The influence of omitted vessels, which are subsequent to the outlets of larger vessels, is accounted for by systems of ordinary differential equations (0D models). The target audience primarily comprises research experts in the field of biomedical engineering, but the book may also be beneficial for graduate students alike.

Authors and Affiliations

  • Hasselt University, Hasselt, Belgium

    Tobias Köppl

  • IWS, University of Stuttgart, Stuttgart, Germany

    Rainer Helmig

About the authors

Tobias Köppl is an applied mathematician. He received his PhD in 2015 at the Technical University of Munich. From 2014 to 2018, he was a postdoctoral researcher at the Department for Hydromechanics and Modelling of Hydrosystems of the University of Stuttgart. In December 2020, Dr. Tobias Köppl successfully completed his habilitation at the University of Stuttgart. At the moment he is working as a reseacher at the University of Hasselt. 

Prof. Dr. Rainer Helmig since the year 2000, Rainer Helmig is the head of the Department of Hydromechanics and Moeling of Hydrosystems at the Institute for Modelling Hydraulic and Environmental Systems (IWS) of the University of Stuttgart. His research is focused on developing numerical methods for coupling hydrosystem compartments and complex flow and transport processes as well as integrating data and hydrosystem models.

Rainer Helmig is author of numerous articles and books.

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation