Multicompartmental Mathematical Model of SARS-CoV-2 Distribution in Human Organs and Their Treatment

Abstract

Patients with COVID-19 can develop pneumonia, severe symptoms of acute respiratory distress syndrome, and multiple organ failure. Nevertheless, the variety of forms of this disease requires further research on the pathogenesis of this disease. Based on the analysis of published data and original experiments on the concentrations of SARS-CoV-2 in biological fluids of the nasopharynx, lungs, and intestines and using a developed modular model of the virus distribution in human tissue and organs, an assessment of the SARS-CoV-2 reproduction in various compartments of the body is presented. Most of the viral particles can transport to the esophagus from the nasopharynx. The viral particles entering the gastrointestinal tract will obviously be accompanied by the infection of the intestinal epithelium and accumulation of the virus in the intestinal lumen in an amount proportional to their secretory and protein-synthetic activities. The relatively low concentration of SARS-CoV-2 in tissues implies an essential role of transport processes and redistribution of the virus from the nasopharynx and intestines to the lungs. The model simulations also suppose that sanitation of the nasopharynx mucosa at the initial stage of the infectious process has prospects for the use in medical practice.

Mathematical Modeling of SARS-CoV-2 Omicron Wave under Vaccination Effects

“…In [ 90 ], a generalized SIR model was used to simulate and predict the dynamics of Omicron waves in Ukraine and in the whole world. Mathematical models also have bee used for within-host dynamics for SARS-CoV-2 and in particular the Omicron variant [ 91 , 92 ]…”

Multilevel Mathematical Model of Epileptic Seizures

“…Для описания "наноуровня" хорошо подходит разработанная компанией ООО "Биософт.Ру" платформа BioUML (Biological Universal Modeling Language), использующаяся в настоящее время в качестве информационной платформы в ряде международных и российских проектов для формального описания и модульного моделирования сложных биологических систем [13][14][15][16].…”

Dynamical Behavior of a Fractional Order Model for Within-Host SARS-CoV-2

“…Yin et al [25] proposed a viral kinetic delay-differential model to assess the effects of T cells and antibodies on SARS-CoV-2 ineffectiveness in patients with various symptoms. Afonyushkin et al [26] investigated the distribution of the SARS-CoV-2 virus in human tissue and organs using a multi-compartmental model. Recently, Nath et al [27] discussed the dynamical behavior of the model that was introduced by Li et al [20].…”