Knowledge-based Mathematical Systems
Overview: A central paradigm in public health is to predict to what extent does the within-host infection dynamics influence the transmission process between individuals and to what is the effect of population dynamics of disease transmission at the individual level.
State of the art: While single models between the infection dynamics within a host and the population-level transmission dynamics are well-known, a comprehensive framework that would allow full integration of the two scales is still lacking. Although multiscale models can often be obtained by coupling different model classes (Hybrid models), “scale bridging” is a very delicate process where theoretical and computational tools are radically limited for this task.
Our research in Multiscale Modelling aims to: