Dimension Reduced Modeling of Blood Flow in Large Arteries : An Introduction for Master Students and First Year Doctoral Students / by Tobias Köppl, Rainer Helmig.

Format:

Book

Author/Creator:

Köppl, Tobias, author.

Helmig, Rainer, author.

Series:

Mathematical Engineering, 2192-4740

Language:

English

Subjects (All):

Biomedical engineering.

Engineering mathematics.

Biomathematics.

Mathematical analysis.

Fluid mechanics.

Biomedical Engineering and Bioengineering.

Engineering Mathematics.

Mathematical and Computational Biology.

Analysis.

Engineering Fluid Dynamics.

Local Subjects:

Biomedical Engineering and Bioengineering.

Engineering Mathematics.

Mathematical and Computational Biology.

Analysis.

Engineering Fluid Dynamics.

Physical Description:

1 online resource (244 pages)

Edition:

1st ed. 2023.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2023.

Summary:

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.

Contents:

Physiological principles of the cardiovascular system

Modeling approaches

Dimension-reduced models for the macrocirculation

Numerical treatment of transport equations

Simulation of the body's own balancing systems

Concluding remarks

Appendix. .

Notes:

Includes bibliographical references.

Other Format:

Print version: Köppl, Tobias Dimension Reduced Modeling of Blood Flow in Large Arteries

ISBN:

3-031-33087-0