The within-host viral kinetics of SARS-CoV-2

Chentong Li; Jinhu Xu; Jiawei Liu; Yicang Zhou; Chentong Li; Jinhu Xu; Jiawei Liu; Yicang Zhou

doi:10.3934/mbe.2020159

Mathematical Biosciences and Engineering

2020, Volume 17, Issue 4: 2853-2861. doi: 10.3934/mbe.2020159

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The within-host viral kinetics of SARS-CoV-2

1.
School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, 710049, China
2.
School of Sciences, Xi'an University of Technology, Xi'an, 710048, China
3.
Department of Ecology and Evolution, University of Chicago, Chicago, IL 60637, USA

Received: 04 March 2020 Accepted: 16 March 2020 Published: 25 March 2020

In this work, we use a within-host viral dynamic model to describe the SARS-CoV-2 kinetics in the host. Chest radiograph score data are used to estimate the parameters of that model. Our result shows that the basic reproductive number of SARS-CoV-2 in host growth is around 3.79. Using the same method we also estimate the basic reproductive number of MERS virus is 8.16 which is higher than SARS-CoV-2. The PRCC method is used to analyze the sensitivities of model parameters. Moreover, the drug effects on virus growth and immunity effect of patients are also implemented to analyze the model.
- SARS-CoV-2,
- MERS,
- differential equation model,
- basic reproductive number
Citation: Chentong Li, Jinhu Xu, Jiawei Liu, Yicang Zhou. The within-host viral kinetics of SARS-CoV-2[J]. Mathematical Biosciences and Engineering, 2020, 17(4): 2853-2861. doi: 10.3934/mbe.2020159

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Abstract

In this work, we use a within-host viral dynamic model to describe the SARS-CoV-2 kinetics in the host. Chest radiograph score data are used to estimate the parameters of that model. Our result shows that the basic reproductive number of SARS-CoV-2 in host growth is around 3.79. Using the same method we also estimate the basic reproductive number of MERS virus is 8.16 which is higher than SARS-CoV-2. The PRCC method is used to analyze the sensitivities of model parameters. Moreover, the drug effects on virus growth and immunity effect of patients are also implemented to analyze the model.

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