Two-level approach for numerical modeling of blood flow in the liver lobule

A.V. Grigorev1, P.N. Vabishchevich2

Department of Compututational Technologies, Institute of Mathematics and Informatics, M.K. Ammosova North-Eastern Federal University,

Yakutsk, Russia

Received 7 December, 2020

Abstract: A two-level approach is considered for numerical modeling of the blood flow in the liver-lobule system in this work. Within the framework of this approach it is proposed to apply a double continua model to describe the flow of blood at each of the two levels. The proposed two-level model can be scaled to typical cases of blood flow in biological structures containing lobules. The numerical implementation is based on the use of the finite element method over space and finite-difference approximations over time. The results of simulations of blood flow in the liver-lobule system are presented that carried out in combined three-dimensional and two-dimensional computational meshes.

c 2022 European Society of Computational Methods in Sciences and Engineering

Keywords: Two-level approach, Double porosity model, Blood flow in liver, Finite element method, Biomedical modeling

Mathematics Subject Classification: 92-10 Biology and other natural sciences: Mathematical modeling or simulation for problems pertaining to biology

PACS: 87.85.Tu Biomedical engineering: modeling of biomedical systems

 

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