Graph-Based Modeling of Mobile Molecular Communication Systems

This letter develops a graph-based model of mobile molecular communication systems to study the spatio-temporal dynamics of bio-nanomachine concentration in a complex environment, such as the human circulatory system. We first consider the steady-state problem under the assumption that background flows are absent, and show that, at steady-state, bio-nanomachines on a graph distribute according to the target distribution. We then examine through numerical experiments the evolution of bio-nanomachine concentration on a graph in the presence of background flows. The graph-based model developed in this letter is useful to examine optimal conditions, under which drug-carrying bio-nanomachines distribute at target locations in a circulatory system.