Fourier inference for reconstruction problems in biophysics

Cryo-electron microscopy is a powerful technique employed by biophysicists in order to build highly accurate structural models of macromolecular assemblies at very small dimensions (Angstrom dimension). The technique involves a variety of statistical issues that arise mainly from noise present due to the nature of the imaging technique, but also depending on the ge-ometric structure of the sample (whether we are studying well ordered crystals or loose single particles). In this talk we explore these statistical issues adopting a Fourier approach. We take a look at a contribution of statistics in the crystal approach, and also introduce challenges associ-ated with the single particle approach, along with a discussion of a lower dimensional analogue that is of interest in its own right