Forger D B, Jewett M E, Kronauer R E
Division of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138, USA.
J Biol Rhythms. 1999 Dec;14(6):532-7. doi: 10.1177/074873099129000867.
Numerous studies have used the classic van der Pol oscillator, which contains a cubic nonlinearity, to model the effect of light on the human circadian pacemaker. Jewett and Kronauer demonstrated that Aschoff's rule could be incorporated into van der Pol type models and used a van der Pol type oscillator with higher order nonlinearities. Kronauer, Forger, and Jewett have proposed a model for light preprocessing, Process L, representing a biochemical process that converts a light signal into an effective drive on the circadian pacemaker. In the paper presented here, the authors use the classic van der Pol oscillator with Process L and Jewett and Kronauer's model of Aschoff's rule to model the human circadian pacemaker. This simpler cubic model predicts the results of a three-pulse human phase response curve experiment and a two-pulse amplitude reduction study with as much, or more, accuracy as the models of Jewett and Kronauer and Kronauer, Forger, and Jewett, which both employ a nonlinearity of degree 7. This suggests that this simpler cubic model should be considered as a potential alternative to other models of the human circadian system currently available.
许多研究使用了包含三次非线性的经典范德波尔振荡器来模拟光对人体昼夜节律起搏器的影响。朱伊特和克罗瑙尔证明了阿绍夫法则可以纳入范德波尔类型的模型中，并使用了具有高阶非线性的范德波尔类型振荡器。克罗瑙尔、福格和朱伊特提出了一种光预处理模型，即L过程，它代表一种将光信号转化为对昼夜节律起搏器有效驱动的生化过程。在本文中，作者使用带有L过程的经典范德波尔振荡器以及朱伊特和克罗瑙尔的阿绍夫法则模型来模拟人体昼夜节律起搏器。这个更简单的三次模型预测三脉冲人体相位响应曲线实验和双脉冲振幅降低研究结果的准确性，与朱伊特和克罗瑙尔以及克罗瑙尔、福格和朱伊特的模型相同，甚至更高，而后两者都采用了七阶非线性。这表明这个更简单的三次模型应被视为当前可用的其他人体昼夜节律系统模型的潜在替代方案。
