English

Fokker-Planck analysis of superresolution microscopy images

Optimization and Control 2023-11-09 v1 Numerical Analysis Numerical Analysis Biological Physics

Abstract

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.

Keywords

Cite

@article{arxiv.2311.04627,
  title  = {Fokker-Planck analysis of superresolution microscopy images},
  author = {Mario Annunziato and Alfio Borzì},
  journal= {arXiv preprint arXiv:2311.04627},
  year   = {2023}
}

Comments

18 pages, 6 figures