Burke M A, Maini P K, Murray J D
Centre for Mathematical Biology, Mathematical Institute, Oxford, U.K.
Biophys Chem. 1990 Aug 31;37(1-3):81-90. doi: 10.1016/0301-4622(90)88009-h.
We consider a realistic suicide substrate reaction which can be represented by four rate equations for the concentrations of the various molecules as functions of time. We present a general procedure to obtain accurate, approximate solutions analytically in terms of the rate equation parameters. This systematic technique provides more accurate approximations to the exact (numerical) solutions than other approximate methods which have been proposed based on a pseudo-steady state hypothesis.
我们考虑一种实际的自杀底物反应,它可以由各种分子浓度随时间变化的四个速率方程来表示。我们提出了一种通用程序,根据速率方程参数通过解析方法获得精确的近似解。与基于准稳态假设提出的其他近似方法相比,这种系统技术能为精确(数值)解提供更精确的近似。