Sleep package model mathematical model for a sleep pattern

Abstract

Abstract In order to design the better sleep-wake schedule for shift workers, the mathematical model for sleep called SLEEP PACKAGE MODEL was developed. When we get three parameters; time to fall asleep (t), the length of sleep period (Ls), and the waking time (Tw) before a sleep are given, the model can predict the sleep pattern, namely NonREM-REM cycle pattern. In order to examine the ability of the model, the sleep patterns for 60 nights of 20 male young adults were recorded under the usual night condition (t=23:00, Ls=8 hrs, and Tw=16 hrs), and the recovery sleep of one university male student was recorded after the 72 hrs sleep deprivation condition (t=09:00,Ls=10 hrs, and Tw=72 hrs). The usual night sleep and the recovery sleep after sleep deprivation were predicted by the model. The estimated sleep patterns by the model were compared with the actual sleep pattern in the experiment, as the results, the estimated sleep patterns by the model is very similar to the acutal sleep patterns. So thatm the result suggests that the application of this model to human engineering field could be expected.