Human Hypertension Blood Flow Model Using Fractional Calculus

The blood flow dynamics in human arteries with hypertension disease is modeled using fractional calculus. The mathematical model is constructed using five-element lumped parameter arterial Windkessel representation. Fractional-order capacitors are used to represent the elastic properties of both pro...

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Bibliographic Details
Published in:Frontiers in physiology 2022-03, Vol.13, p.838593-838593
Main Authors: Bahloul, Mohamed A, Aboelkassem, Yasser, Laleg-Kirati, Taous-Meriem
Format: Article
Language:English
Subjects:
blood flow
fractional calculus
hypertension
Mathematical Physics
Mathematics
Physiology
vascular compliance
Windkessel model
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Summary:The blood flow dynamics in human arteries with hypertension disease is modeled using fractional calculus. The mathematical model is constructed using five-element lumped parameter arterial Windkessel representation. Fractional-order capacitors are used to represent the elastic properties of both proximal large arteries and distal small arteries measured from the heart aortic root. The proposed fractional model offers high flexibility in characterizing the arterial complex tree network. The results illustrate the validity of the new model and the physiological interpretability of the fractional differentiation order through a set of validation using human hypertensive patients. In addition, the results show that the fractional-order modeling approach yield a great potential to improve the understanding of the structural and functional changes in the large and small arteries due to hypertension disease.
ISSN:1664-042X
1664-042X
DOI:10.3389/fphys.2022.838593