Modeling the within host dynamics of SARS-CoV-2 infection

SARS-CoV-2 has infected more than 770 million people and caused more than 6.9 million deaths.  Mathematical modeling of the infection dynamics within individual hosts can provide quantitative information about disease pathogenesis and host-viral interactions.  Here I will discuss a variety of within host models of SARS-CoV-2 involving simple target cell-limited models and more complex models with innate and adaptive immune responses, as well as drug therapy. I will also discuss a recent human challenge study that suggests the relationship between infectious virus and total virus is a power law with the ratio increasing sublinearly.