Lovas, Attila, Nagy, Róbert, Sótonyi, Péter, 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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Absztrakt (kivonat)
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. Keywords: Haemodynamics, pulse wave propagation, one-dimensional modeling, periodic Ricatti equation
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| Nyelv: | angol | ||||||||||||||||||||
| Kötetszám: | 50. | ||||||||||||||||||||
| DOI azonosító: | 10.33039/ami.2019.02.002 | ||||||||||||||||||||
| ISSN: | 1787-5021 (Print) 1787-6117 (Online) | ||||||||||||||||||||
| Felhasználó: | Tibor Gál | ||||||||||||||||||||
| Dátum: | 27 Feb 2019 12:22 | ||||||||||||||||||||
| Utolsó módosítás: | 06 Jan 2020 10:36 | ||||||||||||||||||||
| URI: | http://publikacio.uni-eszterhazy.hu/id/eprint/2959 |
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