Dimensionality reduction and regression in Wasserstein space for quantitative 3D histology (A03)

• Subject Area: Statistical Physics, Nonlinear Dynamics, Complex Systems, Soft and Fluid Matter, Biological Physics ; Mathematics
• Term: since 2021
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 432680300

Phase contrast x-ray tomography is a novel way of obtaining high-resolution three-dimensional images of tissue samples over large volumes. In principle, the acquired data contains a wealth of information on organization and connectivity of cells, and consequently this should allow conclusions about global properties such as pathological degenerations and tissue functions. Local structures, such as cells or organelles, can be identified by robust pre-processing segmentation steps. We seek to develop mathematical representations of tissue samples with concepts from optimal transport theory, allowing to analyze the distribution and arrangement of local structures, leading to insights about their global properties.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1456: Mathematics of Experiment: The challenge of indirect measurements in the natural sciences
• Applicant Institution: Georg-August-Universität Göttingen
• Project Heads: Professor Dr. Tim Salditt; Professor Dr. Bernhard Schmitzer