Русский 
English Mathematical modeling of hemodynamics in the left atrium during atrial fibrillation
The objective of the investigation is to predict the thrombus formation in the left atrium appendage (LAA) during the atrial fibrillation. We assume that it depends on the geometry of LAA. Providing the numerical simulations of the blood motion in the LAA we detect the stagnation zones for various shapes of the LAA using the Navier-Stokes equations which are solved with COMSOL package. However, the correlation of the stagnation zones with the thrombosis, the characteristic time of the clot formation are still open questions. The work is in progress. In the future research we intend to use the mathematical models of the blood coagulation in the case of an injury (see the pioneer works
[
1,
Spatial aspects of the dynamics of blood coagulation. I. Hypothesis
F.I. Ataullakhanov, G.T. Guriia
Biofizika. 1994, 39, 89-96
2
Spatial aspects of the dynamics of blood coagulation. II. Phenomenological model
F.I. Ataullakhanov, G.T. Guriia, A.Iu. Safroshkina
Biofizika. 1994, 39, 97-106
]
) and in the case of recirculated zones (
[
]
).
The authors are supported by the European Social Fund (project No 09.3.3-LMT-K-712-17-0003) under grant agreement with the Research Council of Lithuania (LMTLT).
References of the abstract:
Spatial aspects of the dynamics of blood coagulation. I. Hypothesis
F.I. Ataullakhanov, G.T. Guriia
Biofizika. 1994, 39, 89-96
Spatial aspects of the dynamics of blood coagulation. II. Phenomenological model
F.I. Ataullakhanov, G.T. Guriia, A.Iu. Safroshkina
Biofizika. 1994, 39, 97-106
Multiphase continuum modeling of thrombosis in aneurysms and recirculation zones
A. Bouchnita, A.V.Belyaev, V. Volpert
Physics of Fluids. 2021, X, XX-XX