Institute for Mathematical Stochastics

SFB 803 - Functionality controlled by organization in and between membranes
Central Project Z2:
Statistics for sparse signals: ion channel recordings and NMR spectroscopy



  • Prof. Dr. A. Munk, Göttingen


  • Dr. Thomas Hotz



Both ion channel recordings and NMR spectra form sparse signals, their information being contained in few, discrete jump positions or spectral peaks, respectively. In one part of this project, we intend to statistically model and analyse ion channel recordings using jump regression, being more flexible than the currently used hidden Markov models. Concurrently, the corresponding mathematical theory as well as efficient numerical algorithms will be developed. In the other part, we derive optimal designs for multi-dimensional NMR experiments. Based on sound statistical models, such sampling schemes will be computed analytically or numerically.