Fractional-order model representations of apparent vascular compliance as an alternative in the analysis of arterial stiffness: an in-silico study

Mohamed A Bahloul, Taous-Meriem Laleg-Kirati

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


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.
Original languageEnglish (US)
JournalPhysiological Measurement
StatePublished - Mar 24 2021

Bibliographical note

KAUST Repository Item: Exported on 2021-03-29
Acknowledged KAUST grant number(s): BAS/1/162701-01
Acknowledgements: 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.

ASJC Scopus subject areas

  • Biophysics
  • Physiology
  • Physiology (medical)


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