Modelling Arterial Pressure Waveforms Using Gaussian Functions and Two-Stage Particle Swarm Optimizer

Changes of arterial pressure waveform characteristics have been accepted as risk indicators of cardiovascular diseases. Waveform modelling using Gaussian functions has been used to decompose arterial pressure pulses into different numbers of subwaves and hence quantify waveform characteristics. Howe...

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Main Authors: Chengyu Liu, Tao Zhuang, Lina Zhao, Faliang Chang, Changchun Liu, Shoushui Wei, Qiqiang Li, Dingchang Zheng
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:BioMed Research International
Online Access:http://dx.doi.org/10.1155/2014/923260
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spelling doaj-2f8a99e12de745d385c794dc3e52a14d2020-11-24T23:28:47ZengHindawi LimitedBioMed Research International2314-61332314-61412014-01-01201410.1155/2014/923260923260Modelling Arterial Pressure Waveforms Using Gaussian Functions and Two-Stage Particle Swarm OptimizerChengyu Liu0Tao Zhuang1Lina Zhao2Faliang Chang3Changchun Liu4Shoushui Wei5Qiqiang Li6Dingchang Zheng7School of Control Science and Engineering, Shandong University, Jinan 250061, ChinaNational Laboratory of Pattern Recognition, Institute of Automation, Chinese Academy of Sciences, Beijing 100190, ChinaSchool of Control Science and Engineering, Shandong University, Jinan 250061, ChinaSchool of Control Science and Engineering, Shandong University, Jinan 250061, ChinaSchool of Control Science and Engineering, Shandong University, Jinan 250061, ChinaSchool of Control Science and Engineering, Shandong University, Jinan 250061, ChinaSchool of Control Science and Engineering, Shandong University, Jinan 250061, ChinaInstitute of Cellular Medicine, Newcastle University, Newcastle upon Tyne NE2 4HH, UKChanges of arterial pressure waveform characteristics have been accepted as risk indicators of cardiovascular diseases. Waveform modelling using Gaussian functions has been used to decompose arterial pressure pulses into different numbers of subwaves and hence quantify waveform characteristics. However, the fitting accuracy and computation efficiency of current modelling approaches need to be improved. This study aimed to develop a novel two-stage particle swarm optimizer (TSPSO) to determine optimal parameters of Gaussian functions. The evaluation was performed on carotid and radial artery pressure waveforms (CAPW and RAPW) which were simultaneously recorded from twenty normal volunteers. The fitting accuracy and calculation efficiency of our TSPSO were compared with three published optimization methods: the Nelder-Mead, the modified PSO (MPSO), and the dynamic multiswarm particle swarm optimizer (DMS-PSO). The results showed that TSPSO achieved the best fitting accuracy with a mean absolute error (MAE) of 1.1% for CAPW and 1.0% for RAPW, in comparison with 4.2% and 4.1% for Nelder-Mead, 2.0% and 1.9% for MPSO, and 1.2% and 1.1% for DMS-PSO. In addition, to achieve target MAE of 2.0%, the computation time of TSPSO was only 1.5 s, which was only 20% and 30% of that for MPSO and DMS-PSO, respectively.http://dx.doi.org/10.1155/2014/923260
collection DOAJ
language English
format Article
sources DOAJ
author Chengyu Liu
Tao Zhuang
Lina Zhao
Faliang Chang
Changchun Liu
Shoushui Wei
Qiqiang Li
Dingchang Zheng
spellingShingle Chengyu Liu
Tao Zhuang
Lina Zhao
Faliang Chang
Changchun Liu
Shoushui Wei
Qiqiang Li
Dingchang Zheng
Modelling Arterial Pressure Waveforms Using Gaussian Functions and Two-Stage Particle Swarm Optimizer
BioMed Research International
author_facet Chengyu Liu
Tao Zhuang
Lina Zhao
Faliang Chang
Changchun Liu
Shoushui Wei
Qiqiang Li
Dingchang Zheng
author_sort Chengyu Liu
title Modelling Arterial Pressure Waveforms Using Gaussian Functions and Two-Stage Particle Swarm Optimizer
title_short Modelling Arterial Pressure Waveforms Using Gaussian Functions and Two-Stage Particle Swarm Optimizer
title_full Modelling Arterial Pressure Waveforms Using Gaussian Functions and Two-Stage Particle Swarm Optimizer
title_fullStr Modelling Arterial Pressure Waveforms Using Gaussian Functions and Two-Stage Particle Swarm Optimizer
title_full_unstemmed Modelling Arterial Pressure Waveforms Using Gaussian Functions and Two-Stage Particle Swarm Optimizer
title_sort modelling arterial pressure waveforms using gaussian functions and two-stage particle swarm optimizer
publisher Hindawi Limited
series BioMed Research International
issn 2314-6133
2314-6141
publishDate 2014-01-01
description Changes of arterial pressure waveform characteristics have been accepted as risk indicators of cardiovascular diseases. Waveform modelling using Gaussian functions has been used to decompose arterial pressure pulses into different numbers of subwaves and hence quantify waveform characteristics. However, the fitting accuracy and computation efficiency of current modelling approaches need to be improved. This study aimed to develop a novel two-stage particle swarm optimizer (TSPSO) to determine optimal parameters of Gaussian functions. The evaluation was performed on carotid and radial artery pressure waveforms (CAPW and RAPW) which were simultaneously recorded from twenty normal volunteers. The fitting accuracy and calculation efficiency of our TSPSO were compared with three published optimization methods: the Nelder-Mead, the modified PSO (MPSO), and the dynamic multiswarm particle swarm optimizer (DMS-PSO). The results showed that TSPSO achieved the best fitting accuracy with a mean absolute error (MAE) of 1.1% for CAPW and 1.0% for RAPW, in comparison with 4.2% and 4.1% for Nelder-Mead, 2.0% and 1.9% for MPSO, and 1.2% and 1.1% for DMS-PSO. In addition, to achieve target MAE of 2.0%, the computation time of TSPSO was only 1.5 s, which was only 20% and 30% of that for MPSO and DMS-PSO, respectively.
url http://dx.doi.org/10.1155/2014/923260
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