The design of biologically-inspired wireless communication systems usingbacteria as the basic element of the system is initially motivated by aphenomenon called \emph{Quorum Sensing}. Due to high randomness in theindividual behavior of a bacterium, reliable communication between two bacteriais almost impossible. Therefore, we have recently proposed that a population ofbacteria in a cluster is considered as a bio node in the network capable ofmolecular transmission and reception. This proposition enables us to form areliable bio node out of many unreliable bacteria. In this paper, we study the communication between two nodes in such a networkwhere information is encoded in the concentration of molecules by thetransmitter. The molecules produced by the bacteria in the transmitter nodepropagate through the diffusion channel. Then, the concentration of moleculesis sensed by the bacteria population in the receiver node which would decodethe information and output light or fluorescent as a result. The uncertainty inthe communication is caused by all three components of communication, i.e.,transmission, propagation and reception. We study the theoretical limits of theinformation transfer rate in the presence of such uncertainties. Finally, weconsider M-ary signaling schemes and study their achievable rates andcorresponding error probabilities.
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