  A method for the analysis of superresolution microscopy images is presented.
This method is based on the analysis of stochastic trajectories of particles
moving on the membrane of a cell with the assumption that this motion is
determined by the properties of this membrane. Thus, the purpose of this method
is to recover the structural properties of the membrane by solving an inverse
problem governed by the Fokker-Planck equation related to the stochastic
trajectories. Results of numerical experiments demonstrate the ability of the
proposed method to reconstruct the potential of a cell membrane by using
synthetic data similar those captured by superresolution microscopy of
luminescent activated proteins.
