A novel compliance-pressure loop approach to quantify arterial compliance in systole and in diastole

Kaya, Mehmet; Balasubramanian, Vignesh; Patel, Ashok; Ge, Yueya; Li, John K.‐J.

doi:10.1016/j.compbiomed.2018.06.001

Cited by 7 publications

(4 citation statements)

References 27 publications

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“…Accordingly, mathematically it is expressed as: C = dV / dP , (Quick et al, 1998 ). Over the last decades, several analytical and experimental studies have focused on modeling and characterizing vascular compliance, (Chemla et al, 1998 ; de Simone et al, 1999 ; Segers et al, 1999 ; Stergiopulos et al, 1999 ; Mackenzie et al, 2002 ; Westerhof et al, 2009 ; Haluska et al, 2010 ; Ge, 2018 ; Kaya et al, 2018 ). With the introduction of the well-known linear Windkessel representation of the arterial system, arterial compliance was assumed to have a single constant value for the entire cardiac cycle.…”

Section: Methodsmentioning

confidence: 99%

Human Hypertension Blood Flow Model Using Fractional Calculus

2022

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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.

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Section: Methodsmentioning

confidence: 99%

Human Hypertension Blood Flow Model Using Fractional Calculus

2022

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“…In this context, a spectrum of linear and non-linear computational techniques for assessing vascular compliance has been presented in the literature [6], [7]. These include: 1) The Time Decay method, also recognized as the linear Windkessel model compliance [8], [9], 2) The Area method [10], 3) The Stroke Volume over Pulse Pressure method [11], [12], 4) The Exponential method, and more recently, 5) The compliance-pressure loop approach [13], [14].…”

Section: Introductionmentioning

confidence: 99%

Fractional-Order Modeling of Arterial Compliance in Vascular Aging: A Computational Biomechanical Approach for Investigating Cardiovascular Dynamics

Bahloul,

Aboelkassem,

Belkhatir

et al. 2024

IEEE Open J. Eng. Med. Biol.

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The goal of this study is to investigate the application of fractional-order calculus in modeling arterial compliance in human vascular aging. Methods: A novel fractionalorder modified arterial Windkessel model that incorporates a fractional-order capacitor (FOC) element is proposed to capture the complex and frequency-dependent properties of arterial compliance. The model's performance is evaluated by verifying it using data collected from three different human subjects, with a specific focus on aortic pressure and flow rates. Results:The results show that the FOC model accurately captures the dynamics of arterial compliance, providing a flexible means to estimate central blood pressure distribution and arterial stiffness. Conclusions: This study demonstrates the potential of fractionalorder calculus in advancing the modeling and characterization of arterial compliance in human vascular aging. The proposed FOC model can improve our understanding of the physiological changes in arterial compliance associated with aging and help to identify potential interventions for age-related cardiovascular diseases.

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“…Accordingly, several clinical and experimental research studies have been proposed to quantify vascular compliance, and various arterial compliance surrogates have been developed (Mackenzie et al 2002). In this regard, various linear and nonlinear computational methods for the calculation of vascular compliance have been presented in open literature reviews (Haluska et al 2010, Valdez-Jasso et al 2011, such as (1) the time decay method, which is known as linear Windkessel model compliance , Westerhof et al 2009, (2) the areal method (Segers et al 1999), (3) the stroke volume over pulse pressure method (Chemla et al 1998, de Simone et al 1999, (4) the exponential method and, more recently, (5) the compliance-pressure loop approach (Ge 2018, Kaya et al 2018.…”

Section: Introductionmentioning

confidence: 99%

Fractional-order model representations of apparent vascular compliance as an alternative in the analysis of arterial stiffness: an in-silico study

Bahloul

Laleg‐Kirati

2021

Physiol. Meas.

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Recent studies have demonstrated the advantages of fractional-order calculus tools for probing the viscoelastic properties of collagenous tissue, characterizing the arterial blood flow and red cell membrane mechanics, and modeling the aortic valve cusp. In this article, we present novel lumpedparameter equivalent circuit models of the apparent arterial compliance using a fractional-order capacitor (FOC). FOC, which generalizes capacitors and resistors, displays a fractionalorder behavior that can capture both elastic and viscous properties through a power-law formulation. The proposed framework describes the dynamic relationship between the blood pressure input and blood volume, using linear fractionalorder differential equations. The results show that the proposed models present reasonable fit performance with in-silico data of more than 4,000 subjects. Additionally, strong correlations have been identified between the fractional-order parameter estimates and the central hemodynamic determinants as well as pulse wave velocity indexes. Therefore, fractional-order based paradigm of arterial compliance shows prominent potential as an alternative tool in the analysis of arterial stiffness.

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A novel compliance-pressure loop approach to quantify arterial compliance in systole and in diastole

Cited by 7 publications

References 27 publications

Human Hypertension Blood Flow Model Using Fractional Calculus

Human Hypertension Blood Flow Model Using Fractional Calculus

Fractional-Order Modeling of Arterial Compliance in Vascular Aging: A Computational Biomechanical Approach for Investigating Cardiovascular Dynamics

Fractional-order model representations of apparent vascular compliance as an alternative in the analysis of arterial stiffness: an in-silico study

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