Lovas, Attila and Nagy, Róbert and Sótonyi, Péter and Szilágyi, Brigitta (2019) Volumetric flow rate reconstruction in great vessels. Annales Mathematicae et Informaticae, 50. pp. 117-130. ISSN 1787-5021 (Print) 1787-6117 (Online)
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Abstract
We present a new algorithm to reconstruct the volumetric flux in the aorta. We study a simple 1D blood flow model without viscosity term and sophisticated material model. Using the continuity law, we could reduce the original inverse problem related to a system of PDEs to a parameter identification problem involving a Riccati-type ODE with periodic coefficients. We implemented a block-based optimization algorithm to recover the model parameters. We tested our method on real data obtained using CG-gated CT angiography imaging of the aorta. Local flow rate was calculated in 10 cm long aorta segments which are located 1 cm below the heart. The reconstructed volumetric flux shows a realistic wave-like behavior, where reflections from arteria iliaca can also be observed. Our approach is suitable for estimating the main characteristics of pulsatile flow in the aorta and thereby contributing to a more accurate description of several cardiovascular lesions.
| Item Type: | Article |
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| Uncontrolled Keywords: | Haemodynamics, pulse wave propagation, one-dimensional modeling, periodic Ricatti equation |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika Q Science / természettudomány > QC Physics / fizika |
| Depositing User: | Tibor Gál |
| Date Deposited: | 20 Dec 2019 10:37 |
| Last Modified: | 03 Apr 2023 06:41 |
| URI: | http://real.mtak.hu/id/eprint/104756 |
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