The McCarley-Hobson model, describing the alternation of NREM and REM sleep in the cat, was applied to human electroencephalographic data. The influence of initial conditions on oscillatory behavior was especially emphasized. It appears that the distribution of REM latency in depression, the abnormal accumulation of REM sleep, the variability of NREM-REM cycle duration, the frequent stage shifts, and frequent aWakenings can be explained in this model by means of a decrease in the initial value of a single variable, which may be regarded as representing the strength of REM inhibition. The observation of slow wave sleep deficiency in depression may well be another reflection of this parameter.