Modeling radial artery pressure waveforms using curve fitting: Comparison of four types of fitting functions

Background: Curve fitting has been intensively used to model artery pressure waveform (APW). The modelling accuracy can greatly influence the calculation of APWs parameters that serve as quantitative measures for assessing the morphological characteristics of APWs. However, it is unclear which fitti...

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Main Authors: Xinge Jiang, Shoushui Wei, Jingbo Ji, Feifei Liu, Peng Li, Chengyu Liu
Format: Article
Language:English
Published: Atlantis Press 2018-09-01
Series:Artery Research
Subjects:
Online Access:https://www.atlantis-press.com/article/125924927/view
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spelling doaj-caea83687dba484292314c5468b843bf2020-11-25T01:00:24ZengAtlantis PressArtery Research 1876-44012018-09-012310.1016/j.artres.2018.08.003Modeling radial artery pressure waveforms using curve fitting: Comparison of four types of fitting functionsXinge JiangShoushui WeiJingbo JiFeifei LiuPeng LiChengyu LiuBackground: Curve fitting has been intensively used to model artery pressure waveform (APW). The modelling accuracy can greatly influence the calculation of APWs parameters that serve as quantitative measures for assessing the morphological characteristics of APWs. However, it is unclear which fitting function is more suitable for APW. In this paper, we compared the fitting accuracies of four types of fitting functions, including Raleigh function, double-exponential function, Gaussian function, and logarithmic normal function, in modeling radial artery pressure waveform (RAPW). Methods: RAPWs were recorded from 24 healthy subjects in resting supine position. To perform curve fitting, 10 consecutive stable RAPWs for each subject were randomly selected and each waveform was fitted using three instances of the same fitting function. Results: The mean absolute percentage errors (MAPE) of the fitting results were 5.89% ± 0.46% (standard deviation), 3.31% ± 0.22%, 2.25% ± 0.31%, and 1.49% ± 0.28% for Raleigh function, double-exponential function, Gaussian function, and logarithmic normal function, respectively. Their corresponding mean maximum residual errors were 23.71%, 17.83%, 6.11%, and 5.49%. Conclusions: The performance of using Gaussian function and logarithmic normal function to model RAPW is comparable, and is better than that of using Raleigh function and double-exponential function.https://www.atlantis-press.com/article/125924927/viewCurve fittingRaleigh functionDouble-exponential functionGaussian functionLogarithmic normal functionRadial artery pressure waveform (RAPW)
collection DOAJ
language English
format Article
sources DOAJ
author Xinge Jiang
Shoushui Wei
Jingbo Ji
Feifei Liu
Peng Li
Chengyu Liu
spellingShingle Xinge Jiang
Shoushui Wei
Jingbo Ji
Feifei Liu
Peng Li
Chengyu Liu
Modeling radial artery pressure waveforms using curve fitting: Comparison of four types of fitting functions
Artery Research
Curve fitting
Raleigh function
Double-exponential function
Gaussian function
Logarithmic normal function
Radial artery pressure waveform (RAPW)
author_facet Xinge Jiang
Shoushui Wei
Jingbo Ji
Feifei Liu
Peng Li
Chengyu Liu
author_sort Xinge Jiang
title Modeling radial artery pressure waveforms using curve fitting: Comparison of four types of fitting functions
title_short Modeling radial artery pressure waveforms using curve fitting: Comparison of four types of fitting functions
title_full Modeling radial artery pressure waveforms using curve fitting: Comparison of four types of fitting functions
title_fullStr Modeling radial artery pressure waveforms using curve fitting: Comparison of four types of fitting functions
title_full_unstemmed Modeling radial artery pressure waveforms using curve fitting: Comparison of four types of fitting functions
title_sort modeling radial artery pressure waveforms using curve fitting: comparison of four types of fitting functions
publisher Atlantis Press
series Artery Research
issn 1876-4401
publishDate 2018-09-01
description Background: Curve fitting has been intensively used to model artery pressure waveform (APW). The modelling accuracy can greatly influence the calculation of APWs parameters that serve as quantitative measures for assessing the morphological characteristics of APWs. However, it is unclear which fitting function is more suitable for APW. In this paper, we compared the fitting accuracies of four types of fitting functions, including Raleigh function, double-exponential function, Gaussian function, and logarithmic normal function, in modeling radial artery pressure waveform (RAPW). Methods: RAPWs were recorded from 24 healthy subjects in resting supine position. To perform curve fitting, 10 consecutive stable RAPWs for each subject were randomly selected and each waveform was fitted using three instances of the same fitting function. Results: The mean absolute percentage errors (MAPE) of the fitting results were 5.89% ± 0.46% (standard deviation), 3.31% ± 0.22%, 2.25% ± 0.31%, and 1.49% ± 0.28% for Raleigh function, double-exponential function, Gaussian function, and logarithmic normal function, respectively. Their corresponding mean maximum residual errors were 23.71%, 17.83%, 6.11%, and 5.49%. Conclusions: The performance of using Gaussian function and logarithmic normal function to model RAPW is comparable, and is better than that of using Raleigh function and double-exponential function.
topic Curve fitting
Raleigh function
Double-exponential function
Gaussian function
Logarithmic normal function
Radial artery pressure waveform (RAPW)
url https://www.atlantis-press.com/article/125924927/view
work_keys_str_mv AT xingejiang modelingradialarterypressurewaveformsusingcurvefittingcomparisonoffourtypesoffittingfunctions
AT shoushuiwei modelingradialarterypressurewaveformsusingcurvefittingcomparisonoffourtypesoffittingfunctions
AT jingboji modelingradialarterypressurewaveformsusingcurvefittingcomparisonoffourtypesoffittingfunctions
AT feifeiliu modelingradialarterypressurewaveformsusingcurvefittingcomparisonoffourtypesoffittingfunctions
AT pengli modelingradialarterypressurewaveformsusingcurvefittingcomparisonoffourtypesoffittingfunctions
AT chengyuliu modelingradialarterypressurewaveformsusingcurvefittingcomparisonoffourtypesoffittingfunctions
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