Research

My research interests are mainly concentrated on mathematical modeling and mathematical simulations of complex bio-social systems, social dynamics (e.g. pedestrian dynamics, human crowd dynamics,..), interacting particle systems, data-driven methods, population dynamics, stochastic dynamical systems with applications in behavioural and life science, human diseases, brain research, and neuroscience and interacting agent systems in general. I am interested in developing techniques to analyze the nonlinear dynamics of biological network models, stochastic dynamics of neural activity, evidence accumulation and decision-making, and dynamics of collective behavior.

In particular, I investigate three different descriptions:

• A discrete one with Monte Carlo stochastic dynamics and stochastic dynamics in general

• Systems of Stochastic Differential Equations and/or the coupled systems between SDEs and PDEs

• A continuous one with deterministic dynamics (i.e. a PDE system coupling fast-slow flows in porous media via Forchheimer-like equations coupled with diffusion via non-linear interaction terms)

A science communication contribution: https://www.kau.se/en/news/group-dynamics-large-crowds