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Recent studies have demonstrated the advantages of fractional-order calculustools for probing the viscoelastic properties of collagenous tissue,characterizing the arterial blood flow and red cell membrane mechanics, andmodeling the aortic valve cusp. In this article, we present a novellumped-parameter equivalent circuit models of the apparent arterial complianceusing a fractional-order capacitor (FOC). FOC, which generalizes capacitors andresistors, displays a fractional-order behavior that can capture both elasticand viscous properties through a power-law formulation. The proposed frameworkdescribes the dynamic relationship between the blood pressure input and bloodvolume, using linear fractional-order differential equations. The results showthat the proposed models present reasonable fit performance with in-silico dataof more than 4,000 subjects. Additionally, strong correlations have beenidentified between the fractional-order parameter estimates and the centralhemodynamic determinants as well as pulse wave velocity indexes. Therefore,fractional-order based paradigm of arterial compliance shows prominentpotential as an alternative tool in the analysis of arterial stiffness.

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