Modeling the viral dynamics of SARS-CoV-2 infection

Math Biosci. 2020 Oct:328:108438. doi: 10.1016/j.mbs.2020.108438. Epub 2020 Aug 6.

Abstract

Coronavirus disease 2019 (COVID-19), an infectious disease caused by the infection of severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2), is spreading and causing the global coronavirus pandemic. The viral dynamics of SARS-CoV-2 infection have not been quantitatively investigated. In this paper, we use mathematical models to study the pathogenic features of SARS-CoV-2 infection by examining the interaction between the virus, cells and immune responses. Models are fit to the data of SARS-CoV-2 infection in patients and non-human primates. Data fitting and numerical simulation show that viral dynamics of SARS-CoV-2 infection have a few distinct stages. In the initial stage, viral load increases rapidly and reaches the peak, followed by a plateau phase possibly generated by lymphocytes as a secondary target of infection. In the last stage, viral load declines due to the emergence of adaptive immune responses. When the initiation of seroconversion is late or slow, the model predicts viral rebound and prolonged viral persistence, consistent with the observation in non-human primates. Using the model we also evaluate the effect of several potential therapeutic interventions for SARS-CoV-2 infection. Model simulation shows that anti-inflammatory treatments or antiviral drugs combined with interferon are effective in reducing the duration of the viral plateau phase and diminishing the time to recovery. These results provide insights for understanding the infection dynamics and might help develop treatment strategies against COVID-19.

Publication types

  • Research Support, N.I.H., Extramural
  • Research Support, Non-U.S. Gov't
  • Research Support, U.S. Gov't, Non-P.H.S.

MeSH terms

  • Adaptive Immunity
  • Animals
  • Betacoronavirus* / drug effects
  • Betacoronavirus* / genetics
  • Betacoronavirus* / immunology
  • COVID-19
  • COVID-19 Drug Treatment
  • Coronavirus Infections / drug therapy
  • Coronavirus Infections / epidemiology
  • Coronavirus Infections / immunology
  • Coronavirus Infections / virology*
  • Host Microbial Interactions / immunology
  • Humans
  • Macaca mulatta
  • Mathematical Concepts
  • Models, Biological*
  • Pandemics
  • Pneumonia, Viral / epidemiology
  • Pneumonia, Viral / immunology
  • Pneumonia, Viral / virology*
  • RNA, Viral / analysis
  • RNA, Viral / genetics
  • SARS-CoV-2
  • Viral Load

Substances

  • RNA, Viral