Issue |
Math. Model. Nat. Phenom.
Volume 19, 2024
|
|
---|---|---|
Article Number | 16 | |
Number of page(s) | 15 | |
Section | Mathematical methods | |
DOI | https://doi.org/10.1051/mmnp/2024013 | |
Published online | 24 July 2024 |
Patient-specific input data for predictive modelling of the Fontan procedure
1
Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences, 8 Gubkina str., Moscow 119333, Russia
2
A. N. Bakulev National Medical Research Center of Cardiovascular Surgery of the Ministry of Health of the Russian Federation, Rublevskoe Shosse 135, Moscow 121552, Russia
3
Moscow Institute of Physics and Technology (National Research University), 9 Institutskiy per., Dolgoprudny, Moscow Region 141701, Russia; Sechenov University, 8-2 Trubetskaya str., Moscow 119991, Russia; Sirius University, Olympic pr., 1, Sochi 354340, Russia
4
State Budgetary Healthcare Institution of Moscow Region Children’s Clinical Hospital named after L.M.Roshal, 85 Varshavskoe Shosse, derevnia Borodino, Podolsk, Moscow Region 142117, Russia
* Corresponding author: DobroserdovaTK@gmail.com
Received:
11
December
2023
Accepted:
7
June
2024
Personalized blood flow models are used for optimization of the Fontan procedure. In this paper we discuss clinical data for model initialization. Before the Fontan procedure patients undergo CT or MRI examination. Computational domain of interest is reconstructed from this data. CT images are shown to have a better spatial resolution and quality and are more suitable for segmentation. MRI data gives information about blood flow rates and it is utilized for setting boundary conditions in local 3D hemodynamic models. We discovered that the MRI data is contradictory and too inaccurate for setting boundary conditions: the error of measured velocities is comparable with blood velocities in veins. We discuss a multiscale 1D3D circulation model as potentially suitable for prediction of the Fontan procedure results. Such model may be initialized with more reliable data (MR measurements of blood flow in aorta and ultrasound examination of easily accessible vessels) and take into account collateral and fenestration blood flows which are typical for Fontan patients. We have calculated these flow rates for several patients and demonstrated that such flows occur systematically.
Mathematics Subject Classification: 76-10 / 65Z05
Key words: Mathematical modelling / Fontan procedure / segmentation / congenital heart defects / MRI / CT
© The authors. Published by EDP Sciences, 2024
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