Several mathematically oriented modelers have tried to use simple stochastic models to represent spontaneous firing in neurons. These modelers have typically tried to predict the relative occurrence of time intervals of various durations between the adjacent spikes in an output spike train which is produced by applying the threshold rule to some assumed random distribution of input events. This problem has been found to be virtually unsolvable mathematically, despite its apparent physical simplicity and its extremely modest goal.
KeywordsState Point Stochastic Model Drift Velocity Output Pulse Interspike Interval
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