Characterization of SARS-CoV-2 Dynamics in the Host

TL;DR

This paper uses control theory to mathematically model SARS-CoV-2 dynamics in humans, providing insights into viral replication and potential antiviral strategies to control infection.

Contribution

It offers a validated mathematical model of SARS-CoV-2 in humans with a comprehensive analysis of its dynamics and stability, aiding in antiviral treatment development.

Findings

Characterization of equilibrium regions and stability conditions.

Identification of critical parameters for decreasing viral load.

Simulation results demonstrating potential treatment strategies.

Abstract

While many epidemiological models have being proposed to understand and handle COVID-19, too little has been invested to understand how the virus replicates in the human body and potential antiviral can be used to control the replication cycle. In this work, using a control theoretical approach, validated mathematical models of SARS-CoV-2 in humans are properly characterized. A complete analysis of the main dynamic characteristic is developed based on the reproduction number. The equilibrium regions of the system are fully characterized, and the stability of such a regions, formally established. Mathematical analysis highlights critical conditions to decrease monotonically SARS-CoV-2 in the host, such conditions are relevant to tailor future antiviral treatments. Simulation results show the potential benefits of the aforementioned system characterization.