MATRIX: From Agent Based Models to Nonlinear PDEs in Life and Social Sciences

Description:

Mathematical models have become an important tool to understand and predict complex phenomena in the life and social sciences. Applied mathematics is an integral part of model development and analysis. However, various approaches have been developed within communities that focus on different aspects of model development, analysis and calibration. The proposed workshop will bring together applied mathematicians working on mathematical modelling, analysis and simulations. It aims at advancing different methodological approaches and connecting them with available data. Among other challenges, we will focus on the connection between agent-based models and their respective continuum models, which arise in suitable scaling limits. We will be particularly interested in developing continuum approaches, which preserve important microscopic properties of the underlying microscopic system such as entropy decay. Another focus will lie on model calibration and the quantification of uncertainty in parameter estimates.

This MATRIX Research Program is partially supported by AMSI and AustMS through theAMSI-AustMS Workshop Funding program, and benefits from the SMRI International Visitor Program.