LAUSR

This letter presents a mathematical model of molecular communication networks where mobile bio-nanomachines coordinate their motion by using non-diffusive surface-bound molecules for detecting and localizing spatially distributed targets in the environment. The mathematical model assumes that bio-nanomachines release two types of molecule: repellents to distribute bio-nanomachines in search of targets and attractants to attract distributed bio- nanomachines toward target locations. The two types of molecule assumed in this letter are non-diffusive, meaning that molecules bind to a surface in the environment, creating concentration gradients on the surface in order to distribute bio-nanomachines according to the target distribution. In this letter, we first develop dimensionless equations for the non-diffusion-based mobile molecular communication networks. We then perform mathematical analysis to show that, at steady-state, bio- nanomachines distribute according to a given target distribution. Finally, we demonstrate through numerical experiments that the bio-nanomachine distribution converges to the steady-state solution.