偏离米氏动力学。从简单动力学机制计算获得复杂曲线的概率。
Deviations from Michaelis-Menten kinetics. Computation of the probabilities of obtaining complex curves from simple kinetic schemes.
作者信息
Solano-Muñoz F, McGinlay P B, Woolfson R, Bardsley W G
出版信息
Biochem J. 1981 Jan 1;193(1):339-52. doi: 10.1042/bj1930339.
Abstract
- It is possible to calculate the intrinsic probability associated with any curve shape that is allowed for rational functions of given degree when the coefficients are independent or dependent random variables with known probability distributions. 2. Computations of such probabilities are described when the coefficients of the rational function are generated according to several probability distribution functions and in particular when rate constants are varied randomly for several simple model mechanisms. 3. It is concluded that each molecular mechanism is associated with a specific set of curve-shape probabilities, and this could be of value in discriminating between model mechanisms. 4. It is shown how a computer program can be used to estimate the probability of new complexities such as extra inflexions and turning points as the degree of rate equations increases. 5. The probability of 3 : 3 rate equations giving 2 : 2 curve shapes is discussed for unrestricted coefficients and also for the substrate-modifier mechanisms. 6. The probability associated with the numerical values of coefficients in rate equations is also calculated for this mechanism, and a possible method for determining the approximate magnitude of product-release steps is given. 7. The computer programs used in the computations have been deposited as Supplement SUP 50113 (21 pages) with the British Library Lending Division, Boston Spa, Wetherby, West Yorkshire LS23 7BQ, U.K., from whom copies can be obtained on the terms indicated in Biochem, J. (1978) 169, 5.
摘要
- 当系数为具有已知概率分布的独立或相关随机变量时，对于给定次数的有理函数所允许的任何曲线形状，计算与之相关的内在概率是可能的。2. 描述了根据几种概率分布函数生成有理函数系数时，尤其是当几个简单模型机制的速率常数随机变化时，此类概率的计算方法。3. 得出的结论是，每种分子机制都与一组特定的曲线形状概率相关联，这在区分模型机制方面可能具有价值。4. 展示了如何使用计算机程序来估计随着速率方程次数增加而出现的新复杂性（如额外的拐点和转折点）的概率。5. 讨论了对于无限制系数以及底物 - 调节剂机制，3:3速率方程给出2:2曲线形状的概率。6. 还针对此机制计算了与速率方程中系数数值相关的概率，并给出了一种确定产物释放步骤近似大小的可能方法。7. 计算中使用的计算机程序已作为补充资料SUP 50113（21页）存放在英国西约克郡韦瑟比市波士顿温泉的大英图书馆出借部，邮编LS23 7BQ，可按《生物化学杂志》（1978年）第169卷第5期所示条件从该处获取副本。
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本文引用的文献
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ON THE NATURE OF ALLOSTERIC TRANSITIONS: A PLAUSIBLE MODEL.关于别构转变的本质：一个合理的模型。
J Mol Biol. 1965 May;12:88-118. doi: 10.1016/s0022-2836(65)80285-6.
2
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