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In this presentation I will discuss how mathematical modeling of viral dynamics have been used during the Covid-19 pandemics. I will first show how the first data obtained in hospitalized patients have been used to better understand some key aspect of the viral dynamics during an infection, and to assess the impact of viral load on disease progression and risk of death. I will then show that these models can be used to estimate the antiviral efficacy of drugs, taking the example of remdesivir and monoclonal antibodies. Lastly, I will discuss the use of models to tease out the impact of viral load on the risk of transmission.
key words : SARS-CoV-2, viral dynamics, mathematical models, antiviral drugs, transmission