2019/08/01 by Mohamed A. Bahloul, Bahloul, Mohamed A., Taous‐Meriem Laleg‐Kirati +1 · 1 citation
Engineering · Medicine · #Cardiovascular Function and Risk Factors #Cardiovascular Health and Disease Prevention #Control Systems and Identification #FOS: Biological sciences #FOS: Physical sciences #Heart Rate Variability and Autonomic Control #Medical Physics (physics.med-ph) #Tissues and Organs (q-bio.TO)
paper · pdf · doi:10.48550/arxiv.1908.05239
openalex publication_date 2019/08/01 · openalex created_date 2022/07/28 · openalex updated_date 2026/07/28
In this paper, a new fractional order generalization of the classical\nWindkessel arterial model is developed to describe the aortic input impedance\nas an assessment of the left ventricular after-load. The proposed models embeds\nfractional-order capacitor to describe the total arterial compliance. In this\npaper, we report our investigations on fractional calculus tools and\ndemonstrate that fractional-order impedance can be used to determine the\nvascular properties and studying its dynamic effects. We conceived two\nfractional-order lumped parametric models: the fractional-order two-element\nWindkessel model and the fractional-order three-element Windkessel model. We\ncompared these models to the classical Windkessel one using in-silico ascending\naortic blood pressure and flow database of 3325 virtual subjects. Results\nshowed that the proposed fractional-order models overcame the limitations of\nthe standard arterial Windkessel model and captured very well the real dynamic\nof the aortic input impedance modulus. We also demonstrated that the proposed\nmodels could monitor the changes in the aortic input impedance for various\narterial physiological states. Therefore, our models provide a new tool for\n"hemodynamic inverse problem" solving and offer a new, innovative way to better\nunderstand the viscoelastic effect, in terms of resistive behavior of the\narterial motions.\n