项目名称: 昼夜节律基因调控网络的动力学研究
项目编号: No.11305176
项目类型: 青年科学基金项目
立项/批准年度: 2014
项目学科: 数理科学和化学
项目作者: 徐丽
作者单位: 中国科学院长春应用化学研究所
项目金额: 22万元
中文摘要: 生命活动以大约24 小时为周期变化。昼夜节律模型依靠相对复杂的基因负反馈产生节律。我们将研究昼夜节律网络。常微分方程组能描述这个动力学过程。我们将分别研究在来自系统内部有限分子数目波动的内噪声和来自系统外部环境的外噪声影响下,系统的稳定性变化。我们将通过布朗运动随机模拟,自洽场方法,Gillespie 随机模拟等方法来得到这个非平衡系统的稳态概率分布,从而得到系统的能量地貌和几率流。通过能量地貌和几率流,我们能够分析系统的势垒,首次通过时间,周期和振幅的分布,热损耗和熵产生率,自相关函数和相应频谱的谐振峰,参数敏感性等系统的多个全局性质。通过改变系统动力学参数和网络结构的拓扑,能够指导优化网络设计,从而指导设计出更稳定的和更具有功能性的昼夜节律网络。
中文关键词: 非线性;基因调控网络;稳定性;能量地貌;几率流
英文摘要: Activities of life-cycle changes in about 24 hours. The relatively complex model of circadian rhythms relies on gene negative feedback. We will study the regulatory mechanism of the circadian rhythm.Ordinary differential equations can describe the dynamics of this process. We will explore the stability of the system change with the intrinsic noise from limited molecular number fluctuation and external noise from environment. We will use random Brownian motion simulation, self-consistent field method, Gillespie stochastic simulation to get steady state probability distribution , the energy landscape and the probability flux of this non-equilibrium system. By the energy landscape and the probability flux, we are able to analyze the global nature of the potential barrier of the system, the first passaging time, the distribution of the period and amplitude, the heat loss and entropy production rate, self-correlation function and the corresponding spectrum of the resonant peak, the parameter sensitivity. By changing the kinetic parameters and the topology of the network structure, we can optimize the network design principles and design a more stable and more functional circadian rhythm network.
英文关键词: nonlinear;gene network;stability;landscape;probability flux