线性反应动力学系统的辩识问题  

Identifiability of First-Order Reaction Kinetics

作　　者：陈敏[1] 李培峰 李朝路 周鲁[1] 

机构地区：[1]四川大学应用化学系,成都610065

出　　处：《四川联合大学学报（工程科学版）》1999年第3期43-47,53,共6页

摘　　要：本文采用Laplace变换方法对二组分和三组分单分子反应的一级反应动力学中反应机理和速率常数的辩识问题进行了系统地讨论。根据讨论结果，从理论上证明了线性反应动力学系统的反应机理和速率常数一般不具有唯一性。The major task of chemical reaction kinetics is to study the reaction rates and seek the reaction mechanisms. Both studies of the two problems need kinetics paramenters elementary reaction constant. therefore, kinetics paramenters are very important to the study of chemical reaction kinetics. up to now, kinetics could not agree with each other whether the kineticsparameters are unique. After studied the single-reaction of the systems of two component, three-component, we present a systematical and rather general analysis of the problems of parameters uniqueness, called identifiability. By mass action law, we can present a set of differenical equations of chemical reactions rate. By use of Laplace transform, we can transform the differencial equations to algebra equations. Then obtain the Laplace expressions of each component concentrations. Because for any original functon, there exists only one Laplace expression and vice versa. Consequently, by the properties of the concentration Laplace transform, we can obtain the properties of the each component concentration. At last,we draw some conclusions about single reaction systems of two-component and threecomponent. In brief, kinetics parameters are not necessarily unique.

关 键 词：辩识 化学反应 反应速率常数 线性反应动力学 

分 类 号：O643.11[理学—物理化学]