Diffusion adaptation over networks of particles subject to Brownian fluctuations

This work investigates the influence of diffusion adaptation on the behavior of networks of micro-organisms that are subject to Brownian fluctuations in the motion of their constituent agents. The organisms are assumed to share information, usually through chemical signaling. The information may signal the direction of a target (such as a foreign body) towards which the cells need to migrate. The sharing of information enables the nodes to bias the probabilities of their random walks in favor of the desired direction of motion. It is verified that the adaptive diffusion of direction information enhances the foraging and tracking ability of the cells.