Chemical Kinetics

化学动力学

• 批准号: RGPIN-2014-06158
• 负责人: Siegel, David
• 金额: $ 1.02万
• 依托单位: University of Waterloo
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2017
• 资助国家: 加拿大
• 起止时间: 2017-01-01 至 2018-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=635621
• 关键词: Chemical; Kinetics

The subject of study is chemical reaction networks. A set of reactions gives rise to a system of ordinary differential equations in the well--mixedcase and a set of reaction-diffusion equations in the spatially inhomogeneous case. The main area of applications is biochemical reaction networks whichare commonly used in systems biology. There are two major goals: (1) to determine when these systems have regular dynamics: every solution tends toan equilibrium (homogeneous equilibrium in the case of reaction-diffusion systems); (2) to determine when it is possible to reduce to a smaller system that captures the dynamics of the original system. Under (1), we seek to finish the proof of the global attractor conjecture, study systems withdifferent kinds of kinetics and consider reaction-diffusion systems with different diffusion constants. The new approach of reducing a chemicalreaction network to a compartmental system will be explored. Under (2), we seek to determine when two new systematic ways of reducing a systemprovide good approximations and explore globally defined slow manifolds in higher dimensions. This research is complementary to other investigationsof more complicated dynamics such as multistability, oscillations and pattern formation. There will be implications for biological modelingas we attempt to understand large-scale biochemical reaction networks.

研究主题是化学反应网络。一组反应在充分混合的情况下产生一组常微分方程，在空间非均匀的情况下产生一组反应扩散方程。其主要应用领域是系统生物学中常用的生化反应网络.有两个主要目标：（1）确定这些系统何时具有规则的动力学：每个解都趋向于一个平衡（在反应扩散系统的情况下是齐次平衡）;（2）确定何时可以简化为一个更小的系统，该系统捕获了原始系统的动力学。在（1）中，我们试图完成全局吸引子猜想的证明，研究具有不同动力学类型的系统，考虑具有不同扩散常数的反应扩散系统。探索将化学反应网络简化为分室系统的新途径。在（2）中，我们试图确定两种新的系统化方法何时提供良好的近似，并探索高维中全局定义的慢流形。这项研究是补充其他调查更复杂的动力学，如多稳定性，振荡和图案的形成。当我们试图理解大规模生化反应网络时，这将对生物建模产生影响。