Studies on biological control theory for analysis and synthesis of molecule attractors fluctuated by intrinsic noise

通过使用数学模型和研究针对本征噪声产生生物节律的控制机制，我们得到了以下结果：(1)提出了本征噪声对振荡吸引子的幅度和周期波动的评价方法；(2)刻画了(2)参数集和(3)使节律对本征噪声具有更强鲁棒性的反馈结构；(4)建立了当本征噪声可以忽略时同时考虑温度补偿和温度夹带的数学模型。

By using mathematical models and investigating the control mechnism that generates biological rhythms against intrinsic noises, which is the objective of this study, we have the following results: (1) We proposed evaluation measures of amplitude and periodicity fluctuations of oscillatory attractors by intrinsic noise; we characterized (2) the parameter set and (3) the feedback structure that make the rhythm more robust against intrinsic noise ; (4) we built the mathematical model that presents simultaneously the temperature compensation and the temperature entrainment when intrinsic noise can be neglected.