Statistical Inverse Problems in Biophysics
The statistical analysis of biophysical experiments requires tailor suited regularization techniques which are able to incorporate specific prior information and biophysical model building. Statistical multi-scale analysis is such a tool which automatically adapts to the structural properties of the object to be recovered, for example a protein distribution. Structural properties may include sparseness or information on the shape of the object. The range of application is broad. Among others, the group develops fully data driven and locally adaptive imaging methods in molecular microscopy and magnetic resonance tomography, efficient sampling schemes in nuclear magnetic resonance spectroscopy and new dimension reduction techniques for the detection of functional mechanisms in protein dynamics.