Eleonora Agostinelli

I am interested in applying multiscale methods and asymptotic analysis to understand how individual-level variability in biological populations shapes macroscopic dynamics. My doctoral research specifically focuses on combining multiscale and multiphase approaches to mathematical modelling of early atherosclerosis. I use structured population models, asymptotic techniques and a volume-filling framework to understand the dynamics of macrophages and their interactions with extracellular material in early atherosclerotic plaque. 

I am also interested in discrete-to-continuum approximations of structured mathematical models using asymptotic methods applied to discrete systems. I use discrete boundary layer analysis to understand various asymptotic regions of the state space that appear degenerate. I also focus on models that include cell proliferation, and I am interested in investigating how and under what conditions different proliferation terms upscale to different leading order continuum models.