About one method of non-invasive assessment of fractional reserve of blood flow and its implementation in the FlowVision software package

Aksenov A.A., Veselova T.N., Blagosklonova E.R., Gavrilov A.V., Limareva M.J., Lobanov A.I., Sukhinina T.S., Ternovoy S.K., Fisher J.V.
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The paper considers a variant of the method of non-invasive estimation of fractional flow reserve (FFR), based on the numerical modeling of the blood flow in the coronary arteries. The FlowVision software package is used for calculation. The software is based on a finite volume approximation of the continuous media motion equations.

As part of the calculations, it is possible to use both stationary (time-averaged) mathematical models of blood flow, so take into account the non-stationary effects associated with pulse waves. For this purpose, the artificial compressibility terms have been added to the hemodynamic equations.

The diagnostic efficiency of the selected variant of numerical modeling was evaluated to determine the fractional flow reserve. A limited data set of 10 patients was used as part of the international benchmark. The obtained calculated results were compared with the data of invasive measurements and calculated data of the other teams. For comparisons, published data were used to determine the FFR based on one-dimensional and three-dimensional mathematical models. Calculated hydrodynamic significance of the stenosis was correctly determined in 9 cases out of 14 using the FlowVision software.

Preliminary results demonstrate the feasibility of the software. However, the sample sizes within the framework of the benchmark and taking into account the data of the real patients do not yet allow us to conclude that the FFR prediction is reliable based on the calculations.

Further research should focus on improving the accuracy of the model and expanding the clinical database to improve diagnostic outcomes.

Keywords: fractional flow reserve, mathematical model, coronary artery, artificial compressibility, Navier – Stokes equations, numerical method, FlowVision software
Citation in English: Aksenov A.A., Veselova T.N., Blagosklonova E.R., Gavrilov A.V., Limareva M.J., Lobanov A.I., Sukhinina T.S., Ternovoy S.K., Fisher J.V. About one method of non-invasive assessment of fractional reserve of blood flow and its implementation in the FlowVision software package // Computer Research and Modeling, 2026, vol. 18, no. 5, pp. 1309-1328
Citation in English: Aksenov A.A., Veselova T.N., Blagosklonova E.R., Gavrilov A.V., Limareva M.J., Lobanov A.I., Sukhinina T.S., Ternovoy S.K., Fisher J.V. About one method of non-invasive assessment of fractional reserve of blood flow and its implementation in the FlowVision software package // Computer Research and Modeling, 2026, vol. 18, no. 5, pp. 1309-1328
DOI: 10.20537/2076-7633-2026-18-5-1309-1328
URL: http://crm-en.ics.org.ru/journal/article/3782/
Creative Commons License This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.

Copyright © 2026 Aksenov A.A., Veselova T.N., Blagosklonova E.R., Gavrilov A.V., Limareva M.J., Lobanov A.I., Sukhinina T.S., Ternovoy S.K., Fisher J.V.

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