Computational Analysis of Hemodynamic Indices Based on Personalized Identification of Aortic Pulse Wave Velocity by a Neural Network

Timur Gamilov, Fuyou Liang, Philipp Kopylov, Natalia Kuznetsova, Artem Rogov and Sergey Simakov ()
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Timur Gamilov: Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences, 119991 Moscow, Russia
Fuyou Liang: World-Class Research Center “Digital Biodesign and Personalized Healthcare”, Sechenov First Moscow State Medical University, 19991 Moscow, Russia
Philipp Kopylov: World-Class Research Center “Digital Biodesign and Personalized Healthcare”, Sechenov First Moscow State Medical University, 19991 Moscow, Russia
Natalia Kuznetsova: World-Class Research Center “Digital Biodesign and Personalized Healthcare”, Sechenov First Moscow State Medical University, 19991 Moscow, Russia
Artem Rogov: Moscow Institute of Physics and Technology, 141701 Dolgoprudny, Russia
Sergey Simakov: Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences, 119991 Moscow, Russia

Mathematics, 2023, vol. 11, issue 6, 1-18

Abstract: Adequate personalized numerical simulation of hemodynamic indices in coronary arteries requires accurate identification of the key parameters. Elastic properties of coronary vessels produce a significant effect on the accuracy of simulations. Direct measurements of the elasticity of coronary vessels are not available in the general clinic. Pulse wave velocity (AoPWV) in the aorta correlates with aortic and coronary elasticity. In this work, we present a neural network approach for estimating AoPWV. Because of the limited number of clinical cases, we used a synthetic AoPWV database of virtual subjects to train the network. We use an additional set of AoPWV data collected from real patients to test the developed algorithm. The developed neural network predicts brachial–ankle AoPWV with a root-mean-square error (RMSE) of 1.3 m/s and a percentage error of 16 % . We demonstrate the relevance of a new technique by comparing invasively measured fractional flow reserve (FFR) with simulated values using the patient data with constant ( 7.5 m/s) and predicted AoPWV. We conclude that patient-specific identification of AoPWV via the developed neural network improves the estimation of FFR from 4.4 % to 3.8 % on average, with a maximum difference of 2.8 % in a particular case. Furthermore, we also numerically investigate the sensitivity of the most useful hemodynamic indices, including FFR, coronary flow reserve (CFR) and instantaneous wave-free ratio (iFR) to AoPWV using the patient-specific data. We observe a substantial variability of all considered indices for AoPWV below 10 m/s and weak variation of AoPWV above 15 m/s. We conclude that the hemodynamic significance of coronary stenosis is higher for the patients with AoPWV in the range from 10 to 15 m/s. The advantages of our approach are the use of a limited set of easily measured input parameters (age, stroke volume, heart rate, systolic, diastolic and mean arterial pressures) and the usage of a model-generated (synthetic) dataset to train and test machine learning methods for predicting hemodynamic indices. The application of our approach in clinical practice saves time, workforce and funds.

Keywords: one-dimensional hemodynamics; synthetic population; pulse wave; machine learning; neural network; stenosis; coronary circulation; fractional flow reserve; instantaneous wave-free ratio (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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