Fractal neuronal firing patterns

Publisher Summary This chapter discusses the discharge pattern of auditory nerve axons. The dead-time-modified Poisson point process model of neuronal firing is successful in describing inter spike-interval histograms and post-stimulus-time histograms, measures that reset at relatively short times and are therefore insensitive to long-time correlations in spike occurrences. The patterns of neuronal firing have been examined in single mammalian neurons at various locations along auditory pathways, including the auditory nerve, the cochlear nucleus, which is the first way station, and the lateral superior olivary complex. The chapter also highlights the several biophysical origins and functional significance of fractal behavior. It also presents the three mathematical models for describing the point process auditory neural firings. The first model is applicable for an arbitrary stationary point process with constant rate, second model is a fractal doubly stochastic Poisson point process, and third model is a generalization of the first that is suitable for a time-varying rate or stimulus.

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