All About Cells

Investigating the longterm behaviour of cells in the lymph nodes releasing an activating substance into an intercellular space is a demanding task for mathematical modelling and numerical simulations of reaction-diffusion systems coupled with ordinary differential equations on unstructred 3D grids. To explore the vast amount of computed spatio-temporal data the visualization has to be fast and concise. Persistent homology in discrete Morse theory is a mighty tool for meaningful data reduction. Isosurfaces at characteristic thresholds can be extracted from the data without missing the crucial changes in the topology of the manifold. Visualization results are presented for single and multiple cells with details on the topological concept and computational efforts of the preprocessing steps.