Human Hypertension Blood Flow Model Using Fractional Calculus.

Area of Science:

• Biomedical Engineering
• Cardiovascular Physiology
• Applied Mathematics

Background:

• Hypertension significantly alters human arterial structure and function.
• Accurate modeling of blood flow dynamics is crucial for understanding cardiovascular diseases.
• Traditional models may not fully capture the complex viscoelastic properties of arteries.

Purpose of the Study:

• To develop and validate a novel fractional calculus-based model for blood flow dynamics in hypertensive human arteries.
• To investigate the physiological interpretability of fractional differentiation orders in arterial mechanics.
• To assess the potential of fractional-order modeling in understanding hypertension-induced arterial changes.

Main Methods:

• A five-element lumped parameter arterial Windkessel model was adapted.
• Fractional-order capacitors were employed to represent arterial elasticity.
• The model was validated using data from human hypertensive patients.

Main Results:

• The proposed fractional model demonstrated high flexibility in characterizing the arterial tree network.
• Validation using hypertensive patient data confirmed the model's accuracy.
• The fractional differentiation order showed physiological interpretability.

Conclusions:

• Fractional-order modeling provides a flexible and accurate approach to simulating blood flow in hypertensive arteries.
• This method enhances the understanding of structural and functional arterial modifications in hypertension.
• Fractional calculus offers significant potential for advancing cardiovascular disease research.