Channel Modeling of Molecular Communication via Diffusion With Multiple Absorbing Receivers

In a diffusion-based molecular communication system, molecules are employed to transmit information. When multiple absorbing receivers exist in an environment, the analysis results of channel characteristics for one absorbing receiver cannot be generalized because of the mutual interferences caused by multiple absorbing receivers. This letter investigates how the unintended receiver affects the intended receiver under the scenario of a point transmitter and two absorbing spherical receivers. Using the empirical inferences and simulation fitting algorithm of Levenberg-Marquardt, we propose the channel model by presenting cumulative absorbing probability and absorption probability density expressions on the intended receiver with respect to the variables of angle, distance, and time. The proposed channel model is validated through numerous particle-based simulations. The analysis results reveal that the peak time of the molecular concentration will not be influenced by the unintended receiver.