The use of chemical diffusion for biological communication is well known; however, electron transfer also occurs in living cells and its role in cell-to-cell communication is less understood.  The flow of electrons from donor to acceptor is needed to produce energy.  Recent experimental data suggests that electron transfer occurs between bacteria in microbial communities and occurs across centimeter scales.  It is conjectured that both electrical and chemical diffusion based communication strategies exist within the cell. Herein a stochastic queuing theoretic model is developed that links electron transfer to the energetic state of the cell and is extensible to multiple cells. The parameters of the model are fit to experimental data and provide a tight fit to the experimental data.