QLS Seminar - Spatio-temporal Selection Dynamics: From Evolutionary Graphs to Reaction–Diffusion Equations
Starts 6 Aug 2025 11:00
Ends 6 Aug 2025 12:00
Central European Time
ICTP
Common Area Old SISSA building Second floor
Via Beirut, 2
I will discuss stochastic models of evolutionary dynamics in structured populations, focusing on evolutionary graph theory and its extension to game-theoretic interactions. I will present recent work showing how spatial Moran processes converge, in the large-population limit, to continuum models that extend or deviate from the classical Fisher–Kolmogorov equation. In certain regimes, these limits yield reaction–diffusion dynamics related to the KPZ universality class. I will also touch on extensions to evolutionary games, evolution in heterogeneous media and applications to spatial modelling of cancer therapies, including glioblastoma.