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Tube law parametrization using in vitro data for one‐dimensional blood flow in arteries and veins: TUBE LAW PARAMETRIZATION IN ARTERIES AND VEINS.

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Title: Tube law parametrization using in vitro data for one‐dimensional blood flow in arteries and veins: TUBE LAW PARAMETRIZATION IN ARTERIES AND VEINS.
Authors: Colombo, Chiara1 (AUTHOR) chiara.colombo-1@unitn.it, Siviglia, Annunziato1 (AUTHOR), Toro, Eleuterio F.2 (AUTHOR), Bia, Daniel3 (AUTHOR), Zócalo, Yanina3 (AUTHOR), Müller, Lucas O.4 (AUTHOR)
Source: International Journal for Numerical Methods in Biomedical Engineering. Apr2024, Vol. 40 Issue 4, p1-34. 34p.
Subjects: One-dimensional flow, Blood flow, Tubes, Arteries, Theory of wave motion, Blood vessels
Abstract: The deformability of blood vessels in one‐dimensional blood flow models is typically described through a pressure‐area relation, known as the tube law. The most used tube laws take into account the elastic and viscous components of the tension of the vessel wall. Accurately parametrizing the tube laws is vital for replicating pressure and flow wave propagation phenomena. Here, we present a novel mathematical‐property‐preserving approach for the estimation of the parameters of the elastic and viscoelastic tube laws. Our goal was to estimate the parameters by using ovine and human in vitro data, while constraining them to meet prescribed mathematical properties. Results show that both elastic and viscoelastic tube laws accurately describe experimental pressure‐area data concerning both quantitative and qualitative aspects. Additionally, the viscoelastic tube law can provide a qualitative explanation for the observed hysteresis cycles. The two models were evaluated using two approaches: (i) allowing all parameters to freely vary within their respective ranges and (ii) fixing some of the parameters. The former approach was found to be the most suitable for reproducing pressure‐area curves. [ABSTRACT FROM AUTHOR]
Copyright of International Journal for Numerical Methods in Biomedical Engineering is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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An: 176451398
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  Data: Tube law parametrization using in vitro data for one‐dimensional blood flow in arteries and veins: TUBE LAW PARAMETRIZATION IN ARTERIES AND VEINS.
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+for+Numerical+Methods+in+Biomedical+Engineering%22">International Journal for Numerical Methods in Biomedical Engineering</searchLink>. Apr2024, Vol. 40 Issue 4, p1-34. 34p.
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  Data: <searchLink fieldCode="DE" term="%22One-dimensional+flow%22">One-dimensional flow</searchLink><br /><searchLink fieldCode="DE" term="%22Blood+flow%22">Blood flow</searchLink><br /><searchLink fieldCode="DE" term="%22Tubes%22">Tubes</searchLink><br /><searchLink fieldCode="DE" term="%22Arteries%22">Arteries</searchLink><br /><searchLink fieldCode="DE" term="%22Theory+of+wave+motion%22">Theory of wave motion</searchLink><br /><searchLink fieldCode="DE" term="%22Blood+vessels%22">Blood vessels</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: The deformability of blood vessels in one‐dimensional blood flow models is typically described through a pressure‐area relation, known as the tube law. The most used tube laws take into account the elastic and viscous components of the tension of the vessel wall. Accurately parametrizing the tube laws is vital for replicating pressure and flow wave propagation phenomena. Here, we present a novel mathematical‐property‐preserving approach for the estimation of the parameters of the elastic and viscoelastic tube laws. Our goal was to estimate the parameters by using ovine and human in vitro data, while constraining them to meet prescribed mathematical properties. Results show that both elastic and viscoelastic tube laws accurately describe experimental pressure‐area data concerning both quantitative and qualitative aspects. Additionally, the viscoelastic tube law can provide a qualitative explanation for the observed hysteresis cycles. The two models were evaluated using two approaches: (i) allowing all parameters to freely vary within their respective ranges and (ii) fixing some of the parameters. The former approach was found to be the most suitable for reproducing pressure‐area curves. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal for Numerical Methods in Biomedical Engineering is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1002/cnm.3803
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      – Code: eng
        Text: English
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        PageCount: 34
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    Subjects:
      – SubjectFull: One-dimensional flow
        Type: general
      – SubjectFull: Blood flow
        Type: general
      – SubjectFull: Tubes
        Type: general
      – SubjectFull: Arteries
        Type: general
      – SubjectFull: Theory of wave motion
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      – SubjectFull: Blood vessels
        Type: general
    Titles:
      – TitleFull: Tube law parametrization using in vitro data for one‐dimensional blood flow in arteries and veins: TUBE LAW PARAMETRIZATION IN ARTERIES AND VEINS.
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            NameFull: Colombo, Chiara
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            NameFull: Siviglia, Annunziato
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            NameFull: Toro, Eleuterio F.
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            NameFull: Bia, Daniel
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            NameFull: Zócalo, Yanina
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            NameFull: Müller, Lucas O.
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            – D: 01
              M: 04
              Text: Apr2024
              Type: published
              Y: 2024
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              Value: 40
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            – TitleFull: International Journal for Numerical Methods in Biomedical Engineering
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