Diffusion assessment through image processing: beyond the point-source paradigm

The quantification of transport processes of different substances in the brain9s parenchyma is important in the context of understanding brain functioning.  Most of the currently used methods for assessment of the effective diffusion coefficient rely on the point-source paradigm.  We propose a method for the quantitative characterization of the diffusion process in the brain9s parenchyma using a set of images recorded in the experiment during the spreading of a fluorescent dye.  Our method exploits the frame-wise comparison of experimental data with a set of images that would be observed for an ideal diffusion process within the same topology. We obtain this reference set of images using blurring the image with an appropriate kernel function, and the degree of such blurring correlates with the spreading process of a dye. We demonstrate the applicability of the proposed method using (i) the simulated surrogate data, (ii)  the set of experimentally recorded fluorescent images of the isolated event of blood-brain barrier (BBB) opening,  and (iii) the images of massive multi-source spreading of fluorescent dye.