THE QUASI-STEADY-STATE ASSUMPTION - A CASE-STUDY IN PERTURBATION
THE QUASI-STEADY-STATE ASSUMPTION - A CASE-STUDY IN PERTURBATION
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DOI：
10.1137/1031091
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发表时间：
1989-09-01
期刊：
影响因子：
10.2
通讯作者：
SLEMROD, M
中科院分区：
文献类型：
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作者：
SEGEL, LA;SLEMROD, M
生物化学的准稳态假设（QSSA）作为一种近似进行了研究，这种近似本身就很重要，并且也证明了具有初始快速瞬态的常微分方程系统的方法。简单的估计的两个相关的时间尺度的基本问题。这些估计导致一个无量纲配方包含一个不同的小参数，这是习惯。早期的结果QSSA调查的背景下，新的无量纲化。结果表明，更全面和更简单的误差估计，现在可以。从这个例子中可以得到一些一般的方法学提示
The quasi-steady-state assumption (QSSA) of biochemistry is studied as an approximation that is important in itself and also that exemplifies an approach to ODE systems with an initial fast transient. Simple estimates of the two relevant time scales of the underlying problem are made. These estimates lead to a dimensionless formulation containing a different small parameter from that which is customary. Earlier results on the QSSA are surveyed in the context of the new nondimensionalization. It is shown that more comprehensive and simpler error estimates can now be made. Some general methodological hints are drawn from this example