Novel theory and potential applications of central diastolic pressure decay time constant
Central aortic diastolic pressure decay time constant ( τ ) is according to the two-element Windkessel model equal to the product of total peripheral resistance ( R ) times total arterial compliance ( C ). As such, it is related to arterial stiffness, which has considerable pathophysiological releva...
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| Published in | Scientific reports Vol. 14; no. 1; pp. 5913 - 9 |
|---|---|
| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
| Published |
London
Nature Publishing Group UK
11.03.2024
Nature Publishing Group Nature Portfolio |
| Subjects | |
| Online Access | Get full text |
| ISSN | 2045-2322 2045-2322 |
| DOI | 10.1038/s41598-024-56137-8 |
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| Abstract | Central aortic diastolic pressure decay time constant (
τ
) is according to the two-element Windkessel model equal to the product of total peripheral resistance (
R
) times total arterial compliance (
C
). As such, it is related to arterial stiffness, which has considerable pathophysiological relevance in the assessment of vascular health. This study aimed to investigate the relationship of the constant
τ
with the product
T
MBP
cPP
, given by heart period (
T
) times the ratio of mean blood pressure (MBP) to central pulse pressure (
cPP
). The relationship was derived by performing linear fitting on an in silico population of n
1
= 3818 virtual subjects, and was subsequently evaluated on in vivo data (n
2
= 2263) from the large Asklepios study. The resulted expression was found to be
τ
=
k
′
T
MBP
cPP
,
with
k
′
=
0.7
(R
2
= 0.9). The evaluation of the equation on the in vivo human data reported high agreement between the estimated and reference
τ
values, with a correlation coefficient equal to 0.94 and a normalized RMSE equal to 5.5%. Moreover, the analysis provided evidence that the coefficient
k
′
is age- and gender-independent. The proposed formula provides novel theoretical insights in the relationship between
τ
and central blood pressure features. In addition, it may allow for the evaluation of
τ
without the need for acquiring the entire central blood pressure wave, especially when an approximation of the
cPP
is feasible. This study adds to the current literature by contributing to the accessibility of an additional biomarker, such as the central diastolic pressure decay time constant, for the improved assessment of vascular ageing. |
|---|---|
| AbstractList | Abstract Central aortic diastolic pressure decay time constant ( $${\uptau }$$ τ ) is according to the two-element Windkessel model equal to the product of total peripheral resistance ( $$R$$ R ) times total arterial compliance ( $$C$$ C ). As such, it is related to arterial stiffness, which has considerable pathophysiological relevance in the assessment of vascular health. This study aimed to investigate the relationship of the constant $${\uptau }$$ τ with the product $$T\frac{MBP}{{cPP}}$$ T MBP cPP , given by heart period ( $$T$$ T ) times the ratio of mean blood pressure (MBP) to central pulse pressure ( $$cPP$$ cPP ). The relationship was derived by performing linear fitting on an in silico population of n1 = 3818 virtual subjects, and was subsequently evaluated on in vivo data (n2 = 2263) from the large Asklepios study. The resulted expression was found to be $${\uptau } = k^{\prime}T\frac{MBP}{{cPP}},$$ τ = k ′ T MBP cPP , with $$k^{\prime} = 0.7$$ k ′ = 0.7 (R2 = 0.9). The evaluation of the equation on the in vivo human data reported high agreement between the estimated and reference $${\uptau }$$ τ values, with a correlation coefficient equal to 0.94 and a normalized RMSE equal to 5.5%. Moreover, the analysis provided evidence that the coefficient $$k^{\prime}$$ k ′ is age- and gender-independent. The proposed formula provides novel theoretical insights in the relationship between $${\uptau }$$ τ and central blood pressure features. In addition, it may allow for the evaluation of $${\uptau }$$ τ without the need for acquiring the entire central blood pressure wave, especially when an approximation of the $$cPP$$ cPP is feasible. This study adds to the current literature by contributing to the accessibility of an additional biomarker, such as the central diastolic pressure decay time constant, for the improved assessment of vascular ageing. Central aortic diastolic pressure decay time constant (τ) is according to the two-element Windkessel model equal to the product of total peripheral resistance (R) times total arterial compliance (C). As such, it is related to arterial stiffness, which has considerable pathophysiological relevance in the assessment of vascular health. This study aimed to investigate the relationship of the constant τ with the product TMBPcPP, given by heart period (T) times the ratio of mean blood pressure (MBP) to central pulse pressure (cPP). The relationship was derived by performing linear fitting on an in silico population of n1 = 3818 virtual subjects, and was subsequently evaluated on in vivo data (n2 = 2263) from the large Asklepios study. The resulted expression was found to be τ=k′TMBPcPP, with k′=0.7 (R2 = 0.9). The evaluation of the equation on the in vivo human data reported high agreement between the estimated and reference τ values, with a correlation coefficient equal to 0.94 and a normalized RMSE equal to 5.5%. Moreover, the analysis provided evidence that the coefficient k′ is age- and gender-independent. The proposed formula provides novel theoretical insights in the relationship between τ and central blood pressure features. In addition, it may allow for the evaluation of τ without the need for acquiring the entire central blood pressure wave, especially when an approximation of the cPP is feasible. This study adds to the current literature by contributing to the accessibility of an additional biomarker, such as the central diastolic pressure decay time constant, for the improved assessment of vascular ageing. Central aortic diastolic pressure decay time constant ( $${\uptau }$$ τ ) is according to the two-element Windkessel model equal to the product of total peripheral resistance ( $$R$$ R ) times total arterial compliance ( $$C$$ C ). As such, it is related to arterial stiffness, which has considerable pathophysiological relevance in the assessment of vascular health. This study aimed to investigate the relationship of the constant $${\uptau }$$ τ with the product $$T\frac{MBP}{{cPP}}$$ T MBP cPP , given by heart period ( $$T$$ T ) times the ratio of mean blood pressure (MBP) to central pulse pressure ( $$cPP$$ cPP ). The relationship was derived by performing linear fitting on an in silico population of n 1 = 3818 virtual subjects, and was subsequently evaluated on in vivo data (n 2 = 2263) from the large Asklepios study. The resulted expression was found to be $${\uptau } = k^{\prime}T\frac{MBP}{{cPP}},$$ τ = k ′ T MBP cPP , with $$k^{\prime} = 0.7$$ k ′ = 0.7 (R 2 = 0.9). The evaluation of the equation on the in vivo human data reported high agreement between the estimated and reference $${\uptau }$$ τ values, with a correlation coefficient equal to 0.94 and a normalized RMSE equal to 5.5%. Moreover, the analysis provided evidence that the coefficient $$k^{\prime}$$ k ′ is age- and gender-independent. The proposed formula provides novel theoretical insights in the relationship between $${\uptau }$$ τ and central blood pressure features. In addition, it may allow for the evaluation of $${\uptau }$$ τ without the need for acquiring the entire central blood pressure wave, especially when an approximation of the $$cPP$$ cPP is feasible. This study adds to the current literature by contributing to the accessibility of an additional biomarker, such as the central diastolic pressure decay time constant, for the improved assessment of vascular ageing. Central aortic diastolic pressure decay time constant ( ) is according to the two-element Windkessel model equal to the product of total peripheral resistance ( ) times total arterial compliance ( ). As such, it is related to arterial stiffness, which has considerable pathophysiological relevance in the assessment of vascular health. This study aimed to investigate the relationship of the constant with the product , given by heart period ( ) times the ratio of mean blood pressure (MBP) to central pulse pressure ( ). The relationship was derived by performing linear fitting on an in silico population of n = 3818 virtual subjects, and was subsequently evaluated on in vivo data (n = 2263) from the large Asklepios study. The resulted expression was found to be with (R = 0.9). The evaluation of the equation on the in vivo human data reported high agreement between the estimated and reference values, with a correlation coefficient equal to 0.94 and a normalized RMSE equal to 5.5%. Moreover, the analysis provided evidence that the coefficient is age- and gender-independent. The proposed formula provides novel theoretical insights in the relationship between and central blood pressure features. In addition, it may allow for the evaluation of without the need for acquiring the entire central blood pressure wave, especially when an approximation of the is feasible. This study adds to the current literature by contributing to the accessibility of an additional biomarker, such as the central diastolic pressure decay time constant, for the improved assessment of vascular ageing. Central aortic diastolic pressure decay time constant ( \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\uptau }$$\end{document} τ ) is according to the two-element Windkessel model equal to the product of total peripheral resistance ( \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$R$$\end{document} R ) times total arterial compliance ( \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C$$\end{document} C ). As such, it is related to arterial stiffness, which has considerable pathophysiological relevance in the assessment of vascular health. This study aimed to investigate the relationship of the constant \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\uptau }$$\end{document} τ with the product \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$T\frac{MBP}{{cPP}}$$\end{document} T MBP cPP , given by heart period ( \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$T$$\end{document} T ) times the ratio of mean blood pressure (MBP) to central pulse pressure ( \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$cPP$$\end{document} cPP ). The relationship was derived by performing linear fitting on an in silico population of n 1 = 3818 virtual subjects, and was subsequently evaluated on in vivo data (n 2 = 2263) from the large Asklepios study. The resulted expression was found to be \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\uptau } = k^{\prime}T\frac{MBP}{{cPP}},$$\end{document} τ = k ′ T MBP cPP , with \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$k^{\prime} = 0.7$$\end{document} k ′ = 0.7 (R 2 = 0.9). The evaluation of the equation on the in vivo human data reported high agreement between the estimated and reference \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\uptau }$$\end{document} τ values, with a correlation coefficient equal to 0.94 and a normalized RMSE equal to 5.5%. Moreover, the analysis provided evidence that the coefficient \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$k^{\prime}$$\end{document} k ′ is age- and gender-independent. The proposed formula provides novel theoretical insights in the relationship between \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\uptau }$$\end{document} τ and central blood pressure features. In addition, it may allow for the evaluation of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\uptau }$$\end{document} τ without the need for acquiring the entire central blood pressure wave, especially when an approximation of the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$cPP$$\end{document} cPP is feasible. This study adds to the current literature by contributing to the accessibility of an additional biomarker, such as the central diastolic pressure decay time constant, for the improved assessment of vascular ageing. Central aortic diastolic pressure decay time constant ( τ ) is according to the two-element Windkessel model equal to the product of total peripheral resistance ( R ) times total arterial compliance ( C ). As such, it is related to arterial stiffness, which has considerable pathophysiological relevance in the assessment of vascular health. This study aimed to investigate the relationship of the constant τ with the product T MBP cPP , given by heart period ( T ) times the ratio of mean blood pressure (MBP) to central pulse pressure ( cPP ). The relationship was derived by performing linear fitting on an in silico population of n1 = 3818 virtual subjects, and was subsequently evaluated on in vivo data (n2 = 2263) from the large Asklepios study. The resulted expression was found to be τ = k ' T MBP cPP , with k ' = 0.7 (R2 = 0.9). The evaluation of the equation on the in vivo human data reported high agreement between the estimated and reference τ values, with a correlation coefficient equal to 0.94 and a normalized RMSE equal to 5.5%. Moreover, the analysis provided evidence that the coefficient k ' is age- and gender-independent. The proposed formula provides novel theoretical insights in the relationship between τ and central blood pressure features. In addition, it may allow for the evaluation of τ without the need for acquiring the entire central blood pressure wave, especially when an approximation of the cPP is feasible. This study adds to the current literature by contributing to the accessibility of an additional biomarker, such as the central diastolic pressure decay time constant, for the improved assessment of vascular ageing.Central aortic diastolic pressure decay time constant ( τ ) is according to the two-element Windkessel model equal to the product of total peripheral resistance ( R ) times total arterial compliance ( C ). As such, it is related to arterial stiffness, which has considerable pathophysiological relevance in the assessment of vascular health. This study aimed to investigate the relationship of the constant τ with the product T MBP cPP , given by heart period ( T ) times the ratio of mean blood pressure (MBP) to central pulse pressure ( cPP ). The relationship was derived by performing linear fitting on an in silico population of n1 = 3818 virtual subjects, and was subsequently evaluated on in vivo data (n2 = 2263) from the large Asklepios study. The resulted expression was found to be τ = k ' T MBP cPP , with k ' = 0.7 (R2 = 0.9). The evaluation of the equation on the in vivo human data reported high agreement between the estimated and reference τ values, with a correlation coefficient equal to 0.94 and a normalized RMSE equal to 5.5%. Moreover, the analysis provided evidence that the coefficient k ' is age- and gender-independent. The proposed formula provides novel theoretical insights in the relationship between τ and central blood pressure features. In addition, it may allow for the evaluation of τ without the need for acquiring the entire central blood pressure wave, especially when an approximation of the cPP is feasible. This study adds to the current literature by contributing to the accessibility of an additional biomarker, such as the central diastolic pressure decay time constant, for the improved assessment of vascular ageing. Central aortic diastolic pressure decay time constant ( τ ) is according to the two-element Windkessel model equal to the product of total peripheral resistance ( R ) times total arterial compliance ( C ). As such, it is related to arterial stiffness, which has considerable pathophysiological relevance in the assessment of vascular health. This study aimed to investigate the relationship of the constant τ with the product T MBP cPP , given by heart period ( T ) times the ratio of mean blood pressure (MBP) to central pulse pressure ( cPP ). The relationship was derived by performing linear fitting on an in silico population of n 1 = 3818 virtual subjects, and was subsequently evaluated on in vivo data (n 2 = 2263) from the large Asklepios study. The resulted expression was found to be τ = k ′ T MBP cPP , with k ′ = 0.7 (R 2 = 0.9). The evaluation of the equation on the in vivo human data reported high agreement between the estimated and reference τ values, with a correlation coefficient equal to 0.94 and a normalized RMSE equal to 5.5%. Moreover, the analysis provided evidence that the coefficient k ′ is age- and gender-independent. The proposed formula provides novel theoretical insights in the relationship between τ and central blood pressure features. In addition, it may allow for the evaluation of τ without the need for acquiring the entire central blood pressure wave, especially when an approximation of the cPP is feasible. This study adds to the current literature by contributing to the accessibility of an additional biomarker, such as the central diastolic pressure decay time constant, for the improved assessment of vascular ageing. |
| ArticleNumber | 5913 |
| Author | Anagnostopoulos, Sokratis Bikia, Vasiliki Stergiopulos, Nikolaos Rovas, Georgios Segers, Patrick |
| Author_xml | – sequence: 1 givenname: Vasiliki surname: Bikia fullname: Bikia, Vasiliki email: vickybikia@gmail.com organization: Laboratory of Hemodynamics and Cardiovascular Technology, Institute of Bioengineering, Swiss Federal Institute of Technology – sequence: 2 givenname: Patrick surname: Segers fullname: Segers, Patrick organization: IBiTech, University of Ghent – sequence: 3 givenname: Georgios surname: Rovas fullname: Rovas, Georgios organization: Laboratory of Hemodynamics and Cardiovascular Technology, Institute of Bioengineering, Swiss Federal Institute of Technology – sequence: 4 givenname: Sokratis surname: Anagnostopoulos fullname: Anagnostopoulos, Sokratis organization: Laboratory of Hemodynamics and Cardiovascular Technology, Institute of Bioengineering, Swiss Federal Institute of Technology – sequence: 5 givenname: Nikolaos surname: Stergiopulos fullname: Stergiopulos, Nikolaos organization: Laboratory of Hemodynamics and Cardiovascular Technology, Institute of Bioengineering, Swiss Federal Institute of Technology |
| BackLink | https://www.ncbi.nlm.nih.gov/pubmed/38467721$$D View this record in MEDLINE/PubMed |
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| CitedBy_id | crossref_primary_10_1161_CIRCHEARTFAILURE_124_012016 |
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| Keywords | Windkessel effect Central blood pressure Vascular age Arterial pulse wave Asklepios study |
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| Snippet | Central aortic diastolic pressure decay time constant (
τ
) is according to the two-element Windkessel model equal to the product of total peripheral... Central aortic diastolic pressure decay time constant ( $${\uptau }$$ τ ) is according to the two-element Windkessel model equal to the product of total... Central aortic diastolic pressure decay time constant ( ) is according to the two-element Windkessel model equal to the product of total peripheral resistance... Central aortic diastolic pressure decay time constant (τ) is according to the two-element Windkessel model equal to the product of total peripheral resistance... Central aortic diastolic pressure decay time constant ( τ ) is according to the two-element Windkessel model equal to the product of total peripheral... Central aortic diastolic pressure decay time constant ( \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts}... Abstract Central aortic diastolic pressure decay time constant ( $${\uptau }$$ τ ) is according to the two-element Windkessel model equal to the product of... |
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| SubjectTerms | 639/166/985 692/53/2421 Aging Aorta Aorta - physiology Arterial Pressure Arterial pulse wave Arteries - physiology Asklepios study Blood pressure Blood Pressure - physiology Central blood pressure Correlation coefficient Decay Humanities and Social Sciences Humans multidisciplinary Science Science (multidisciplinary) Vascular age Vascular Resistance Vascular Stiffness Windkessel effect |
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| Title | Novel theory and potential applications of central diastolic pressure decay time constant |
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