Title: Coarse-graining of complex biological models
Abstract: The mathematical study of biological systems often involves the use of complex mathematical models. Their analysis often becomes cumbersome and even their efficient numerical simulation becomes a problem of significant difficulty. This, in turn, hinders further study regarding mathematical analysis, parameter fitting and identifiability, etc. To overcome these issues, we have been developing a number of approaches to coarse-graining such models. In this talk, I will address two such approaches applied to different models: an individual-based model with multistable agents and a model for large-scale transitions in epigenetic landscapes.