Preemptive priority processing in neural pulse generation was defined. The impulse was assumed to occur in Poisson arrival. A single neuron was assumed to process the pulse with the Poisson process with different rate. We have introduced a mathematical process for the joint probability distribution of queue lengths of two preemptive priority classless in terms of generating function. The present paper will be available for predicting the neural pulse sequence when the inputs distribute on the axonhilock and remote dendrite.
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