Multiplexing over molecular communication channels from nanomachines to a micro-scale sensor device

Systems of distributed nanomachines are an anticipated paradigm for future interaction with biological systems. Future applications for systems of distributed nanomachines require nanomachines to coordinate among themselves as well as interact with larger-scale systems such as medical or environment devices. One potential technique to communicate with distributed nanomachines is through molecular communication. For example, a nanomachine transmits pulses of a type of molecule to represent bits of information and a device (i.e. may be either a nano-scale or larger-scale device) decodes information from the concentration characteristics of the type of molecule. In this paper, we consider multiple transmitters multiplexing bits of information to a micro-scale receiver using the same type of molecule. Concentration of the type of molecule depends on the bits transmitted and the distances to the transmitters. We model the concentration detected by the receiver to measure the expected number of bits per transmission interval.