Assessment of Fractional-Order Arterial Windkessel as a Model of Aortic Input Impedance
<italic>Goal:</italic> Fractional-order Windkessel model is proposed to describe the aortic input impedance. Compared with the conventional arterial Windkessel, the main advantage of the proposed model is the consideration of the viscoelastic nature of the arterial wall using the fractio...
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IEEE
2020-01-01
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| Series: | IEEE Open Journal of Engineering in Medicine and Biology |
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| Online Access: | https://ieeexplore.ieee.org/document/9076293/ |
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| author | Mohamed A. Bahloul Taous-Meriem Laleg-Kirati |
| author_facet | Mohamed A. Bahloul Taous-Meriem Laleg-Kirati |
| author_sort | Mohamed A. Bahloul |
| collection | DOAJ |
| description | <italic>Goal:</italic> Fractional-order Windkessel model is proposed to describe the aortic input impedance. Compared with the conventional arterial Windkessel, the main advantage of the proposed model is the consideration of the viscoelastic nature of the arterial wall using the fractional-order capacitor (FOC). <italic>Methods:</italic> The proposed model, along with the standard two-element Windkessel, three-element Windkessel, and the viscoelastic Windkessel models, are assessed and compared using in-silico data. <italic>Results:</italic> The results show that the fractional-order model fits better the moduli of the aortic input impedance and fairly approximates the phase angle. In addition, by its very nature, the pseudo-capacitance of FOC makes the proposed model's dynamic compliance complex and frequency-dependent. <italic>Conclusions:</italic> The analysis of the proposed fractional-order model indicates that fractional-order impedance yields a powerful tool for a flexible characterization of the arterial hemodynamics. |
| format | Article |
| id | doaj-art-be66209b89f647aa831f4cbc1306cf87 |
| institution | DOAJ |
| issn | 2644-1276 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Open Journal of Engineering in Medicine and Biology |
| spelling | doaj-art-be66209b89f647aa831f4cbc1306cf872025-08-20T03:15:51ZengIEEEIEEE Open Journal of Engineering in Medicine and Biology2644-12762020-01-01112313210.1109/OJEMB.2020.29881799076293Assessment of Fractional-Order Arterial Windkessel as a Model of Aortic Input ImpedanceMohamed A. Bahloul0https://orcid.org/0000-0002-4510-8029Taous-Meriem Laleg-Kirati1https://orcid.org/0000-0001-5944-0121Computer, Electrical and Mathematical Sciences and Engineering Division, King Abdullah University of Science and Technology, Thuwal, Makkah, Saudi ArabiaComputer, Electrical and Mathematical Sciences and Engineering Division, King Abdullah University of Science and Technology, Thuwal, Makkah, Saudi Arabia<italic>Goal:</italic> Fractional-order Windkessel model is proposed to describe the aortic input impedance. Compared with the conventional arterial Windkessel, the main advantage of the proposed model is the consideration of the viscoelastic nature of the arterial wall using the fractional-order capacitor (FOC). <italic>Methods:</italic> The proposed model, along with the standard two-element Windkessel, three-element Windkessel, and the viscoelastic Windkessel models, are assessed and compared using in-silico data. <italic>Results:</italic> The results show that the fractional-order model fits better the moduli of the aortic input impedance and fairly approximates the phase angle. In addition, by its very nature, the pseudo-capacitance of FOC makes the proposed model's dynamic compliance complex and frequency-dependent. <italic>Conclusions:</italic> The analysis of the proposed fractional-order model indicates that fractional-order impedance yields a powerful tool for a flexible characterization of the arterial hemodynamics.https://ieeexplore.ieee.org/document/9076293/Arterial windkesselvascular impedancefractional calculusfractional-order capacitor |
| spellingShingle | Mohamed A. Bahloul Taous-Meriem Laleg-Kirati Assessment of Fractional-Order Arterial Windkessel as a Model of Aortic Input Impedance IEEE Open Journal of Engineering in Medicine and Biology Arterial windkessel vascular impedance fractional calculus fractional-order capacitor |
| title | Assessment of Fractional-Order Arterial Windkessel as a Model of Aortic Input Impedance |
| title_full | Assessment of Fractional-Order Arterial Windkessel as a Model of Aortic Input Impedance |
| title_fullStr | Assessment of Fractional-Order Arterial Windkessel as a Model of Aortic Input Impedance |
| title_full_unstemmed | Assessment of Fractional-Order Arterial Windkessel as a Model of Aortic Input Impedance |
| title_short | Assessment of Fractional-Order Arterial Windkessel as a Model of Aortic Input Impedance |
| title_sort | assessment of fractional order arterial windkessel as a model of aortic input impedance |
| topic | Arterial windkessel vascular impedance fractional calculus fractional-order capacitor |
| url | https://ieeexplore.ieee.org/document/9076293/ |
| work_keys_str_mv | AT mohamedabahloul assessmentoffractionalorderarterialwindkesselasamodelofaorticinputimpedance AT taousmeriemlalegkirati assessmentoffractionalorderarterialwindkesselasamodelofaorticinputimpedance |