We have developed a quantitative model of human sleep-wake rhythms bas
ed on a thermoregulatory feedback control mechanism modulated by two c
ircadian oscillators. Homeostatic features of sleep regulation are rea
lized through the heat memory which represents the history of the mask
ing process associated with sleep-wake cycles: heat load during wake a
nd heat loss during sleep. Simulations under entrained conditions show
ed that the model closely mimicks well-known features of human sleep-w
ake rhythm, and that the homeostatic and the oscillatory aspects of th
e human circadian system are successfully integrated in our model. In
this paper, parameter dependency of the model behavior is studied by s
imulations. Because of its physiology-based structure, the parameter d
ependency could show the possible underlying mechanism for the typical
features of human sleep-wake rhythm. In addition, the model stability
is analyzed by the linear system theory and the simulations, which es
tablishes the stability condition and suggests that the presented simu
lation results are basically stable. These results are informative to
apply our model to actual data of sleep-wake rhythms, and to interpret
them from the physiological point of view.