We investigate the possibility of incorporating the sequential dynamics of a 'Competitive Queuing' system in a multi-layer perceptron (MLP) architecture. The approach is applied to a model of output processes in spelling, and we show that it provides an explanation for so-called 'Graphemic Buffer Disorder'. We describe a patient with an apparently novel dysgraphia affecting the start of words, and show that this can also be explained in terms of a simple manipulation to the model.