The role of boundary conditions for modeling the blood flow in microvessels

A. E. Kovtanyuk, E. A. Marushchenko, R. Lampe

Research output: Contribution to journalConference articlepeer-review


The article considers a mathematical model of blood motion in microvessels of diameter from 4 to 8 μm. The blood is considered as a fluid consisting of plasma and red blood cells (RBCs) fractions, wherein the RBCs fraction has much higher viscosity in contrast with the plasma fraction. As a numerical approach, the finite element method based on the Stokes equations with variable viscosity is applied. The adequacy of the model is assessed by comparing the numerical results and experimental (in vitro and in vivo) data. Different approaches to the construction of suitable boundary conditions are discussed and implemented.

Original languageEnglish
Article number012012
JournalJournal of Physics: Conference Series
Issue number1
StatePublished - 2023
Externally publishedYes
Event2nd International Workshop on Mathematical Modeling and Scientific Computing: Focus on Complex Processes and Systems, MMSC 2022 - Virtual, Online
Duration: 4 Oct 20227 Oct 2022


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