Special Session 32

Recent trends in biomathematics: modelling patterns and collective dynamics from micro to macro

Organizers: Gabriele Grifò (INdAM, Italy), Giancarlo Consolo (University of Messina, Italy), Ricardo Martinez-Garcia (ICTP – SAIFR, Brazil)

MSC codes: 34-XX, 35-XX, 92Bxx

Description:

This minisymposium focuses on recent mathematical advances in biomathematics, covering some current topics in the life sciences. These range from population dynamics in humans and other animals to epidemiology, from cellular and bacterial migration to ecosystem-level heritability, and from social systems to biological and medical applications. The aim is to highlight how the integration of micro- and macro-scale descriptions can provide new insights into how complex spatial structures, coordinated behaviors, collective dynamics and self-organized patterns emerge in the abovementioned systems and fields. The invited speakers will cover a broad range of modern analytical, numerical, and modelling techniques, which will promote discussion and cross-fertilization of ideas across topics, advancing our understanding of complex biological systems at multiple scales. To achieve this goal, the different contributions will tackle investigations through several methodologies spanning stochastic and deterministic modelling, nonlinear PDEs on continuous domains as well as on graphs and networks, kinetic and agent-based approaches, evolutionary game theory, data-informed and hybrid frameworks.