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dc.contributor.authorBahloul, Mohamed
dc.contributor.authorLaleg-Kirati, Taous-Meriem
dc.date.accessioned2019-12-24T11:46:13Z
dc.date.available2019-12-24T11:46:13Z
dc.date.issued2019-08-01
dc.identifier.urihttp://hdl.handle.net/10754/660808
dc.description.abstractIn this paper, a new fractional order generalization of the classical Windkessel arterial model is developed to describe the aortic input impedance as an assessment of the left ventricular after-load. The proposed models embeds fractional-order capacitor to describe the total arterial compliance. In this paper, we report our investigations on fractional calculus tools and demonstrate that fractional-order impedance can be used to determine the vascular properties and studying its dynamic effects. We conceived two fractional-order lumped parametric models: the fractional-order two-element Windkessel model and the fractional-order three-element Windkessel model. We compared these models to the classical Windkessel one using in-silico ascending aortic blood pressure and flow database of 3325 virtual subjects. Results showed that the proposed fractional-order models overcame the limitations of the standard arterial Windkessel model and captured very well the real dynamic of the aortic input impedance modulus. We also demonstrated that the proposed models could monitor the changes in the aortic input impedance for various arterial physiological states. Therefore, our models provide a new tool for
dc.description.sponsorshipThe research reported in this publication was supported by King Abdullah University of Science and Technology (KAUST) Base Research Fund, (BAS/1/1627-01-01). 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 for his assistance and valuable advices.
dc.publisherarXiv
dc.relation.urlhttps://arxiv.org/pdf/1908.05239
dc.rightsArchived with thanks to arXiv
dc.titleFractional Order Models of Arterial Windkessel as an Alternative in the Analysis of the Left Ventricular Afterload
dc.typePreprint
dc.contributor.departmentElectrical Engineering Program
dc.contributor.departmentComputational Bioscience Research Center (CBRC)
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.eprint.versionPre-print
dc.contributor.institutionFrench national research institute for the digital sciences, INRIA, Paris, France
dc.identifier.arxivid1908.05239
kaust.personBahloul, Mohamed
kaust.personLaleg-Kirati, Taous-Meriem
kaust.grant.numberBAS/1/1627-01-01
refterms.dateFOA2019-12-24T11:46:37Z


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