Key result
Fractional derivative order in 1D blood flow models significantly affects estimated FFR.
Why the study?
Recent studies showed benefits of fractional derivatives for blood pressure profile simulation, prompting their combination with one-dimensional coronary flow models for better model personalization and FFR estimation.
Incorporating fractional-order Windkessel boundary conditions into 1D blood flow models significantly impacts FFR estimation, potentially improving model personalization for stenosis evaluation.
FFR estimates in 1D models vary with fractional derivative order; leaves open clinical validation for stenosis assessment.
Recent studies have demonstrated the benefits of using fractional derivatives to simulate a blood pressure profile. In this work we propose to combine a one-dimensional model of coronary blood flow with fractional-order Windkessel boundary conditions. This allows us to obtain a greater variety of blood pressure profiles for better model personalization An algorithm of parameter identification is described, which is used to fit the measured mean value of arterial pressure and estimate the fractional flow reserve (FFR) for a given patient. The proposed framework is used to investigate sensitivity of mean blood pressure and fractional flow reserve to fractional order. We demonstrate that the fractional derivative order significantly affects the fractional flow reserve (FFR), which is used as an indicator of stenosis significance.
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Гамилов et al. (2023) studied Coronary stenosis. Fractional-order Windkessel boundary conditions in a 1D blood flow model was evaluated on Fractional flow reserve (FFR) estimation. The fractional derivative order in a one-dimensional blood flow model with fractional-order Windkessel boundary conditions significantly affects the estimated fractional flow reserve (FFR).
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