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.
ASJC Scopus subject areas
- Physiology (medical)