Mathematical Modeling

Modeling the dynamics of blood circulation in the autonomous cardiopulmonary complex

A. E. Medvedev^ab, A. D. Erokhin^a, Yu. M. Prikhod'ko^ab, M. O. Zhulkov<sup>b

a</sup> Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
^b National Medical Research Center Named after Academician Meshalkin, Novosibirsk, Russia

Abstract: The paper describes the development of computer modeling of hemodynamic systems, which helps to better understand physiology and to move from real experiments to simulation models. Using the object-oriented environment Modelica, an accurate model of the system “heart + lungs” was created. The performed numerical simulation confirmed the adequacy of the model and its applicability for more complex haemodynamic studies. Mathematical modeling of the “heart + lungs” system was carried out to create a digital twin. The main requirements to the model: reproduction of experimental data on animals and prediction of results in a wide range of parameters. The Modelica environment was used to create a circulatory model based on the quasi one-dimensional approximation. The modelling confirmed the adequacy of the digital twin for the key parameters of pressure and heart rate. The simulation results of two experiments showed good agreement with real data, which confirms the applicability of the model for complex haemodynamic problems.

Key words: mathematical modelling, hemodynamics, donor heart, autoperfusion, transport cuvette, donor organ preservation.

Received 23.09.2024, 10.11.2024, Published 14.11.2024

DOI: 10.17537/2024.19.354

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