A New Model of Ultrasonic Guided Wave Propagation in Blood Vessels and Its Propagation Characteristics

The identification of a blood vessel’s elastic properties by an ultrasonic guided wave mainly depends on the accurate propagation characteristics, which are obtained by solving the problem of elastic mechanics based on a thin-plate model. However, this method cannot accurately predict the characteri...

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Main Authors: Kehua Sun, Dan Li, Mingfang Zheng, Qinzhen Shi, Jianqiu Zhang, Dean Ta
Format: Article
Language:English
Published: MDPI AG 2023-06-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/13/12/7159
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author Kehua Sun
Dan Li
Mingfang Zheng
Qinzhen Shi
Jianqiu Zhang
Dean Ta
author_facet Kehua Sun
Dan Li
Mingfang Zheng
Qinzhen Shi
Jianqiu Zhang
Dean Ta
author_sort Kehua Sun
collection DOAJ
description The identification of a blood vessel’s elastic properties by an ultrasonic guided wave mainly depends on the accurate propagation characteristics, which are obtained by solving the problem of elastic mechanics based on a thin-plate model. However, this method cannot accurately predict the characteristics for low frequencies. Since blood vessels are of a tubular structure, a hollow-cylinder model, constructed to model blood vessels, is proposed in this paper. Based on this model, the propagation characteristics and dispersion curves of the ultrasonic guided wave propagating along the axial direction are studied by expanding the state equation using Legendre polynomials. A detailed comparison between the results of the proposed model and the thin-layer-based model is presented. It is shown that the dispersion curves of the L (0,1) modes, calculated by the two different models, are a match for high frequencies but differ for low frequencies. The dispersion curve of the L (0,1) mode calculated by the proposed model is in good agreement with the results of the reported experiments. Then, the relationship between the propagation characteristics of ultrasonic guided waves and Young’s modulus is studied. It is discovered that the phase velocity and group velocity are significantly affected by Young’s modulus close to the cutoff frequency, which has important implications for the selection of the detection frequency to the characteristic parameter of vascular.
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spelling doaj.art-1b3e07126702415bb3fa2aa014f781472023-11-18T09:09:57ZengMDPI AGApplied Sciences2076-34172023-06-011312715910.3390/app13127159A New Model of Ultrasonic Guided Wave Propagation in Blood Vessels and Its Propagation CharacteristicsKehua Sun0Dan Li1Mingfang Zheng2Qinzhen Shi3Jianqiu Zhang4Dean Ta5School of Information Science and Technology, Fudan University, Shanghai 204333, ChinaSchool of Information Science and Technology, Fudan University, Shanghai 204333, ChinaSchool of Environment and Civil Engineering, Dongguan University of Technology, Dongguan 523808, ChinaSchool of Information Science and Technology, Fudan University, Shanghai 204333, ChinaSchool of Information Science and Technology, Fudan University, Shanghai 204333, ChinaSchool of Information Science and Technology, Fudan University, Shanghai 204333, ChinaThe identification of a blood vessel’s elastic properties by an ultrasonic guided wave mainly depends on the accurate propagation characteristics, which are obtained by solving the problem of elastic mechanics based on a thin-plate model. However, this method cannot accurately predict the characteristics for low frequencies. Since blood vessels are of a tubular structure, a hollow-cylinder model, constructed to model blood vessels, is proposed in this paper. Based on this model, the propagation characteristics and dispersion curves of the ultrasonic guided wave propagating along the axial direction are studied by expanding the state equation using Legendre polynomials. A detailed comparison between the results of the proposed model and the thin-layer-based model is presented. It is shown that the dispersion curves of the L (0,1) modes, calculated by the two different models, are a match for high frequencies but differ for low frequencies. The dispersion curve of the L (0,1) mode calculated by the proposed model is in good agreement with the results of the reported experiments. Then, the relationship between the propagation characteristics of ultrasonic guided waves and Young’s modulus is studied. It is discovered that the phase velocity and group velocity are significantly affected by Young’s modulus close to the cutoff frequency, which has important implications for the selection of the detection frequency to the characteristic parameter of vascular.https://www.mdpi.com/2076-3417/13/12/7159ultrasonic guided wavedispersion curvearterial wallLegendre polynomial
spellingShingle Kehua Sun
Dan Li
Mingfang Zheng
Qinzhen Shi
Jianqiu Zhang
Dean Ta
A New Model of Ultrasonic Guided Wave Propagation in Blood Vessels and Its Propagation Characteristics
Applied Sciences
ultrasonic guided wave
dispersion curve
arterial wall
Legendre polynomial
title A New Model of Ultrasonic Guided Wave Propagation in Blood Vessels and Its Propagation Characteristics
title_full A New Model of Ultrasonic Guided Wave Propagation in Blood Vessels and Its Propagation Characteristics
title_fullStr A New Model of Ultrasonic Guided Wave Propagation in Blood Vessels and Its Propagation Characteristics
title_full_unstemmed A New Model of Ultrasonic Guided Wave Propagation in Blood Vessels and Its Propagation Characteristics
title_short A New Model of Ultrasonic Guided Wave Propagation in Blood Vessels and Its Propagation Characteristics
title_sort new model of ultrasonic guided wave propagation in blood vessels and its propagation characteristics
topic ultrasonic guided wave
dispersion curve
arterial wall
Legendre polynomial
url https://www.mdpi.com/2076-3417/13/12/7159
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