Inverse Modelling of the Cellular Immune Response to SARS-CoV-2

The ongoing struggle with COVID-19 persists as most researchers endeavour to find a successful method to curb global pandemics. Consequently, there has been significant advancement in our comprehension of this disease, and we are now more informed than during the initial phases of this global health crisis. Yet, these endeavours have not fully halted the virus’ spread, leaving numerous queries still unresolved. In this context, grasping the relationship between the SARS-CoV-2 virus and the target cells it impacts is absolutely essential. In this paper, we develop a model to study the complex interaction between the innate and adaptive immune responses to SARS-CoV-2, and the temporal mismatch between them, in particular. We suggest a method to calibrate the important rates which cannot be measured directly. This would help developing a proactive approach to advance the treatment of known and future variants of concern.