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In this work, we use the standard deviation of image pixel intensity toanalyse the speed, direction and surface-interaction of microparticles influid. First, we present an analytical model for estimating the total variancein the image space for directed or diffusive motion of microparticles and showthat this measure is correlated to the density and speed of the particles. Theanalytical model was found to have good agreement with numerical simulationsfor low particle density. Then, using only the local image variance we obtainthe magnitude and direction of the particle velocity in a rectangularmicrofluidic channel, closely matching the theoretical profile. Further, wealso demonstrate the application of this method as a probe for particle-surfaceinteractions by extracting the differences in distribution and time-evolutionof image variance from mobile microparticles adhering to different surfaces. Webelieve that the image variance based method described here presents anaddition to the suite of tracking-free techniques such as Differential DynamicMicroscopy (DDM) to extract motility parameters from video data.

Tracking-free Determination of Microparticle Motion from Image Variance