Simulation and tracking of fractional particles motion. From microscopy video to statistical analysis. A Brownian bridge approach

Abstract

An ongoing rapid development in single particle tracking techniques has opened new possibilities for analysis of particles dynamics inside living cells. Assuming that the motion is governed by a fractional Brownian motion, we have generated a synthetic video resembling a real one from an experimental video of G-proteins and coupled with them receptors inside living cells. Next, we applied Brownian bridge method to study two fundamental analysis tasks on trajectory data: segmentation and classification in context of experimental data. We have shown that, depending on the method of dealing with missing data, the obtained results might vary significantly, obviously influencing the final conclusions.