Finite-time simultaneous estimation of aortic blood flow and differentiation order for fractional-order arterial Windkessel model calibration

Mohamed A. Bahloul; Marcelo Benencase; Zehor Belkhatir; Taous Meriem Laleg Kirati

doi:10.1016/j.ifacol.2021.10.312

Finite-time simultaneous estimation of aortic blood flow and differentiation order for fractional-order arterial Windkessel model calibration

Mohamed A. Bahloul, Marcelo Benencase, Zehor Belkhatir, Taous Meriem Laleg Kirati

Research output: Contribution to conference › Poster › peer-review

4 Scopus citations

Abstract

A fractional-order vascular model representation for emulating arterial hemody-namics has been recently presented as an alternative to the well-known integer-order arterial Windkessel. The model uses a fractional-order capacitor (FOC) to describe the complex and frequency-dependent arterial compliance. This paper presents a two-stage algorithm based on modulating functions for finite-time simultaneous estimation of the model's input and the fractional differentiation order. The proposed approach is validated using in-silico human data. Results show the prominent potential of this method for calibrating arterial models and enhancing cardiovascular mechanics research as well as clinical practice.

Original language	English (US)
Pages	538-543
Number of pages	6
DOIs	https://doi.org/10.1016/j.ifacol.2021.10.312
State	Published - 2021
Event	11th IFAC Symposium on Biological and Medical Systems BMS 2021 - Ghent, Belgium Duration: Sep 19 2021 → Sep 22 2021

Conference

Conference	11th IFAC Symposium on Biological and Medical Systems BMS 2021
Country/Territory	Belgium
City	Ghent
Period	09/19/21 → 09/22/21

Keywords

Fractional derivative
Joint-estimation
Modulating functions
Windkessel model

ASJC Scopus subject areas

Control and Systems Engineering

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10.1016/j.ifacol.2021.10.312

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Bahloul, M. A., Benencase, M., Belkhatir, Z., & Laleg Kirati, T. M. (2021). Finite-time simultaneous estimation of aortic blood flow and differentiation order for fractional-order arterial Windkessel model calibration. 538-543. Poster session presented at 11th IFAC Symposium on Biological and Medical Systems BMS 2021, Ghent, Belgium. https://doi.org/10.1016/j.ifacol.2021.10.312

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title = "Finite-time simultaneous estimation of aortic blood flow and differentiation order for fractional-order arterial Windkessel model calibration",

abstract = "A fractional-order vascular model representation for emulating arterial hemody-namics has been recently presented as an alternative to the well-known integer-order arterial Windkessel. The model uses a fractional-order capacitor (FOC) to describe the complex and frequency-dependent arterial compliance. This paper presents a two-stage algorithm based on modulating functions for finite-time simultaneous estimation of the model's input and the fractional differentiation order. The proposed approach is validated using in-silico human data. Results show the prominent potential of this method for calibrating arterial models and enhancing cardiovascular mechanics research as well as clinical practice.",

keywords = "Fractional derivative, Joint-estimation, Modulating functions, Windkessel model",

author = "Bahloul, {Mohamed A.} and Marcelo Benencase and Zehor Belkhatir and {Laleg Kirati}, {Taous Meriem}",

note = "Publisher Copyright: {\textcopyright} 2021 The Authors.; 11th IFAC Symposium on Biological and Medical Systems BMS 2021 ; Conference date: 19-09-2021 Through 22-09-2021",

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doi = "10.1016/j.ifacol.2021.10.312",

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Finite-time simultaneous estimation of aortic blood flow and differentiation order for fractional-order arterial Windkessel model calibration. / Bahloul, Mohamed A.; Benencase, Marcelo; Belkhatir, Zehor et al.
2021. 538-543 Poster session presented at 11th IFAC Symposium on Biological and Medical Systems BMS 2021, Ghent, Belgium.

Research output: Contribution to conference › Poster › peer-review

TY - CONF

T1 - Finite-time simultaneous estimation of aortic blood flow and differentiation order for fractional-order arterial Windkessel model calibration

AU - Bahloul, Mohamed A.

AU - Benencase, Marcelo

AU - Belkhatir, Zehor

AU - Laleg Kirati, Taous Meriem

PY - 2021

Y1 - 2021

N2 - A fractional-order vascular model representation for emulating arterial hemody-namics has been recently presented as an alternative to the well-known integer-order arterial Windkessel. The model uses a fractional-order capacitor (FOC) to describe the complex and frequency-dependent arterial compliance. This paper presents a two-stage algorithm based on modulating functions for finite-time simultaneous estimation of the model's input and the fractional differentiation order. The proposed approach is validated using in-silico human data. Results show the prominent potential of this method for calibrating arterial models and enhancing cardiovascular mechanics research as well as clinical practice.

AB - A fractional-order vascular model representation for emulating arterial hemody-namics has been recently presented as an alternative to the well-known integer-order arterial Windkessel. The model uses a fractional-order capacitor (FOC) to describe the complex and frequency-dependent arterial compliance. This paper presents a two-stage algorithm based on modulating functions for finite-time simultaneous estimation of the model's input and the fractional differentiation order. The proposed approach is validated using in-silico human data. Results show the prominent potential of this method for calibrating arterial models and enhancing cardiovascular mechanics research as well as clinical practice.

KW - Fractional derivative

KW - Joint-estimation

KW - Modulating functions

KW - Windkessel model

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DO - 10.1016/j.ifacol.2021.10.312

M3 - Poster

AN - SCOPUS:85120679315

SP - 538

EP - 543

T2 - 11th IFAC Symposium on Biological and Medical Systems BMS 2021

Y2 - 19 September 2021 through 22 September 2021

ER -

Finite-time simultaneous estimation of aortic blood flow and differentiation order for fractional-order arterial Windkessel model calibration

Abstract

Conference

Keywords

ASJC Scopus subject areas

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