Nakao M, Yamamoto M
Laboratory of Neurophysiology and Bioinformatics, Graduate School of Information Sciences, Tohoku University, Sendai, Japan.
Psychiatry Clin Neurosci. 1998 Apr;52(2):131-3. doi: 10.1111/j.1440-1819.1998.tb00990.x.
Daan's two process model is known to be one of the most powerful models, covering various situations from free-running to sleep deprivation. In this study, bifurcation properties of the model dynamics as function of a gap, D, between the threshold processes are clarified using a circle map. As a function of D, we will show that the model has the different types of the mutual entrainment regions that are intervened by the tangent bifurcation. The variable behavior of human circadian rhythm is suggested to be systematically understood based on the bifurcation properties of the two process model.
众所周知，达恩的双过程模型是最强大的模型之一，涵盖了从自由运行到睡眠剥夺的各种情况。在本研究中，使用圆映射阐明了模型动力学的分岔特性与阈值过程之间间隙D的函数关系。作为D的函数，我们将表明该模型具有由切线分岔介入的不同类型的相互同步区域。基于双过程模型的分岔特性，建议系统地理解人类昼夜节律的可变行为。
