Multiscale modelling of heterogeneous cell-tissue dynamics
FriSBi Seminar Series
Experiments in biology generate a vast amount of data across multiple spatial and temporal scales. However, interpreting such complex data is challenging. Mechanistic mathematical modelling, together with statistical modelling, provides a powerful framework for exploiting such data to achieve mechanistic understanding, quantitative insights, and discoveries. In this talk, I will present novel mathematical models and techniques that I have developed and applied to improve practical understanding of routinely performed two- and three-dimensional biological experiments for cancer growth, nanoparticle-based therapeutics, and developmental biology. Mathematically, this involves stochastic individual-based models, coarse-graining procedures, coupled systems of nonlinear partial differential equations, free-boundary problems, and multi-scale mechanochemical models that capture key biological heterogeneity.