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The traditional model in biology for the mode of communication between neurons revolves around the integrate-and-fire model. In this model a neuron will fire only if the amount of incoming signal within a certain amount of time meets or exceeds some threshold (i.e., the incoming signal is integrated). Recent work by Izhikevich (2001) has posed another possible model, which he calls the "resonate-and-fire" model. Details of the model are covered in this paper. This model provides the basis for the ideas discussed below. This paper attempts to show how concepts from Izhikevich's research can be used to implement a novel method for data compression. While there are still many challenges to be overcome, it is hoped that a ratio of 4:1 compression may be possible after compression through conventional methods. In addition, an application of these ideas to a simple form of data encryption is discussed.