The ventricular-arterial coupling system can be analyzed by the eigenwave modes of the whole arterial system

Yuh Ying Lin Wang; Wah Keung Sze; Jian Guo Bau; Sheng Hung Wang; Ming Yie Jan; Tse Lin Hsu; Wei Kung Wang

doi:10.1063/1.2911746

The ventricular-arterial coupling system can be analyzed by the eigenwave modes of the whole arterial system

Yuh Ying Lin Wang^*, Wah Keung Sze, Jian Guo Bau, Sheng Hung Wang, Ming Yie Jan, Tse Lin Hsu, Wei Kung Wang

^*Corresponding author for this work

Department of Physics

Research output: Contribution to journal › Article › peer-review

32 Citations (Scopus)

Abstract

In response to harmonic forces generated by the heart, the arterial system executes strong coupled distributed oscillatory motions. These oscillations are described by a pressure-area wave equation, which is solvable subject to appropriate Sturm-Liouville boundary conditions. The response pressure can be represented as a sum of stationary waves which are the eigenmodes of the whole arterial system. Natural frequencies of the system are related to the eigenvalues and the phase velocity. Matching of these natural frequencies with heart rate or its harmonics is important in ventricular-arterial coupling. Transfer functions for the pressure can be constructed from the corresponding eigenfunctions.

Original language	English
Article number	153901
Journal	Applied Physics Letters
Volume	92
Issue number	15
DOIs	https://doi.org/10.1063/1.2911746
Publication status	Published - 2008

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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10.1063/1.2911746

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title = "The ventricular-arterial coupling system can be analyzed by the eigenwave modes of the whole arterial system",

abstract = "In response to harmonic forces generated by the heart, the arterial system executes strong coupled distributed oscillatory motions. These oscillations are described by a pressure-area wave equation, which is solvable subject to appropriate Sturm-Liouville boundary conditions. The response pressure can be represented as a sum of stationary waves which are the eigenmodes of the whole arterial system. Natural frequencies of the system are related to the eigenvalues and the phase velocity. Matching of these natural frequencies with heart rate or its harmonics is important in ventricular-arterial coupling. Transfer functions for the pressure can be constructed from the corresponding eigenfunctions.",

author = "{Lin Wang}, {Yuh Ying} and Sze, {Wah Keung} and Bau, {Jian Guo} and Wang, {Sheng Hung} and Jan, {Ming Yie} and Hsu, {Tse Lin} and Wang, {Wei Kung}",

note = "Funding Information: This study was supported by a grant from the National Science Council of Republic of China (Grant No. NSC 96-2112-M-003-006).",

year = "2008",

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language = "English",

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T1 - The ventricular-arterial coupling system can be analyzed by the eigenwave modes of the whole arterial system

AU - Lin Wang, Yuh Ying

AU - Sze, Wah Keung

AU - Bau, Jian Guo

AU - Wang, Sheng Hung

AU - Jan, Ming Yie

AU - Hsu, Tse Lin

AU - Wang, Wei Kung

N1 - Funding Information: This study was supported by a grant from the National Science Council of Republic of China (Grant No. NSC 96-2112-M-003-006).

PY - 2008

Y1 - 2008

N2 - In response to harmonic forces generated by the heart, the arterial system executes strong coupled distributed oscillatory motions. These oscillations are described by a pressure-area wave equation, which is solvable subject to appropriate Sturm-Liouville boundary conditions. The response pressure can be represented as a sum of stationary waves which are the eigenmodes of the whole arterial system. Natural frequencies of the system are related to the eigenvalues and the phase velocity. Matching of these natural frequencies with heart rate or its harmonics is important in ventricular-arterial coupling. Transfer functions for the pressure can be constructed from the corresponding eigenfunctions.

AB - In response to harmonic forces generated by the heart, the arterial system executes strong coupled distributed oscillatory motions. These oscillations are described by a pressure-area wave equation, which is solvable subject to appropriate Sturm-Liouville boundary conditions. The response pressure can be represented as a sum of stationary waves which are the eigenmodes of the whole arterial system. Natural frequencies of the system are related to the eigenvalues and the phase velocity. Matching of these natural frequencies with heart rate or its harmonics is important in ventricular-arterial coupling. Transfer functions for the pressure can be constructed from the corresponding eigenfunctions.

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The ventricular-arterial coupling system can be analyzed by the eigenwave modes of the whole arterial system

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