INTEGRATED MATHEMATICAL MODEL FOR IMITATION OF THE COURSE OF VIRAL DISEASE AND CORRECTION OF THE INDUCED HYPOXIC STATE

INTEGRATED MATHEMATICAL MODEL FOR IMITATION OF THE COURSE OF VIRAL DISEASE AND CORRECTION OF THE INDUCED HYPOXIC STATE

N. I. Aralova, O. M. Klyuchko, V. I. Mashkin, I. V. Mashkina, T. A. Semchyk

The aim of the work was to create a complex mathematical model simulating the course of the diseasecaused by the SARS-CoV-2 virus on the level of interaction between functional systems of organism andpharmacological correction of organism hypoxic states arising in the complicated course of the disease. Inthe present work the methods of mathematical modeling and theory of optimal control of moving objectswere used. The proposed integrated mathematical model consisted on the mathematical models offunctional systems of respiration and blood circulation, thermoregulation, immune response, erythropoesis,and pharmacological correction. Individual patient data were taken for this model, and the disturbingeffect in the form of viral disease was simulated. The reactions of functional respiratory and bloodcirculatory systems were predicted. Partial pressures of respiratory gases in alveolar spaces and theirtensions in lung capillaries blood, arterial and mixed venous blood, and tissue fluid were calculated.Further the intravenous injection of antihypoxant was simulated and the values of the same parameterswere calculated. In such a way it was possible to choose the most optimal way of hypoxic state correctionfor any individual. This model is theoretical only for today because the models of respiratory and bloodcirculation systems were designed for the average person and it does not suppose peculiarities of individualpersons infected with SARS-CoV-2. In particular, this concerns the pequliarities of gas exchange in thealveolar space and characteristics of respiratory gases diffusion through the alveolar-capillary andcapillary-tissue membranes. However, it is one of possible directions for solving the complex tasks relatedto treatment of the disease caused by SARS-CoV-2 virus. In the result of the work the complex ofinformation support for the imitation of viral disease course was developed at the level of interaction oforganism functional systems, as well as pharmacological correction of caused by it hypoxic states.

2020

sars-cov-2 virus, immune response model, mathematical model of the respiratory system, hypoxic state, infection lesion

10.15407/biotech13.03.030

Biotechnologia Acta

National Academy of Sciences of Ukraine and Palladin Institute of Biochemistry of the National Academy of Sciences of Ukraine.

Biotechnology