2020/10/20 by Mohamed A. Bahloul, Bahloul, Mohamed A., Taous‐Meriem Laleg‐Kirati +1
Engineering · Mathematics · Medicine · #Advanced Control Systems Design #Cardiovascular Function and Risk Factors #Cardiovascular Health and Disease Prevention #FOS: Electrical engineering #Fractional Differential Equations Solutions #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.2010.10058
openalex publication_date 2020/10/20 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28
Recent studies have demonstrated the advantages of fractional-order calculus\ntools for probing the viscoelastic properties of collagenous tissue,\ncharacterizing the arterial blood flow and red cell membrane mechanics, and\nmodeling the aortic valve cusp. In this article, we present a novel\nlumped-parameter equivalent circuit models of the apparent arterial compliance\nusing a fractional-order capacitor (FOC). FOC, which generalizes capacitors and\nresistors, displays a fractional-order behavior that can capture both elastic\nand viscous properties through a power-law formulation. The proposed framework\ndescribes the dynamic relationship between the blood pressure input and blood\nvolume, using linear fractional-order differential equations. The results show\nthat the proposed models present reasonable fit performance with in-silico data\nof more than 4,000 subjects. Additionally, strong correlations have been\nidentified between the fractional-order parameter estimates and the central\nhemodynamic determinants as well as pulse wave velocity indexes. Therefore,\nfractional-order based paradigm of arterial compliance shows prominent\npotential as an alternative tool in the analysis of arterial stiffness.\n