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    Fractional-order Modeling of the Arterial Compliance: An Alternative Surrogate Measure of the Arterial Stiffness

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    Type
    Preprint
    Authors
    Bahloul, Mohamed
    Laleg-Kirati, Taous-Meriem cc
    KAUST Department
    Computational Bioscience Research Center (CBRC)
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Electrical Engineering
    Electrical Engineering Program
    Estimation, Modeling and ANalysis Group
    KAUST Grant Number
    BAS/1/162701-01
    Date
    2020-10-20
    Permanent link to this record
    http://hdl.handle.net/10754/665807
    
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    Abstract
    Recent studies have demonstrated the advantages of fractional-order calculus tools for probing the viscoelastic properties of collagenous tissue, characterizing the arterial blood flow and red cell membrane mechanics, and modeling the aortic valve cusp. In this article, we present a novel lumped-parameter equivalent circuit models of the apparent arterial compliance using a fractional-order capacitor (FOC). FOC, which generalizes capacitors and resistors, displays a fractional-order behavior that can capture both elastic and viscous properties through a power-law formulation. The proposed framework describes the dynamic relationship between the blood pressure input and blood volume, using linear fractional-order differential equations. The results show that the proposed models present reasonable fit performance with in-silico data of more than 4,000 subjects. Additionally, strong correlations have been identified between the fractional-order parameter estimates and the central hemodynamic determinants as well as pulse wave velocity indexes. Therefore, fractional-order based paradigm of arterial compliance shows prominent potential as an alternative tool in the analysis of arterial stiffness.
    Sponsors
    Research reported in this publication was supported by King Abdullah University of Science and Technology (KAUST) Base Research Fund (BAS/1/162701-01). Additionally, the authors would like to thank Dr. Ali Haneef, associate consultant cardiac surgeon and co-chairman quality management at King Faisal Cardiac Center, King Abdulaziz Medical City, National Guard Health Affairs, in the Western Region, Jeddah, KSA and Dr. Nesrine T. Bahloul, medical intern at Department of Pediatrics, Sfax Medical School, Hedi Chaker Hospital, Sfax, Tunisia, for their assistance and valuable advices.
    Publisher
    arXiv
    arXiv
    2010.10058
    Additional Links
    https://arxiv.org/pdf/2010.10058
    Collections
    Preprints; Electrical and Computer Engineering Program; Computational Bioscience Research Center (CBRC); Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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