An analytic solution to the Monod-Wyman-Changeux model and all parameters in this model.

An analytic solution to the Monod-Wyman-Changeux model and all parameters in this model.
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Monod-Wyman-Changeux 模型以及该模型中所有参数的解析解。

DOI:
10.1016/s0006-3495(89)82802-4
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发表时间:
1989
影响因子:
3.4
通讯作者:
K. V. van Holde
K. V. van Holde
中科院分区:
生物学3区
文献类型:
--
作者:
G. Zhou;P. Ho;K. V. van Holde

文献摘要

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从Monod-Wyman-Changeux(MWC)模型(Monod,J.,J. Wyman和J. P. Changeux。1965. J. Mol. 12:88-118),我们获得了在任何配体浓度下Hill图的斜率的分析表达式。此外,我们推导出了在最大斜率位置处的配体浓度所满足的方程。从这些结果中,我们推导出一组公式,该公式允许从Hill系数nH的值、最大斜率位置处的配体浓度[(A)0)和此时的nu/(n-nu)的值确定MWC模型的参数(kR、C和L)。然后,我们概述了利用这些方程提供一个“最佳拟合”的MWC模型的实验数据的程序,并获得一组精致的参数。最后,我们通过章鱼血蓝蛋白的氧结合数据分析证明了该技术的适用性。
Starting from the Monod-Wyman-Changeux (MWC) model (Monod, J., J. Wyman, and J. P. Changeux. 1965. J. Mol. Biol. 12:88–118), we obtain an analytical expression for the slope of the Hill plot at any ligand concentration. Furthermore, we derive an equation satisfied by the ligand concentration at the position of maximum slope. From these results, we derive a set of formulas which allow determination of the parameters of the MWC model (kR, C, and L) from the value of the Hill coefficient, nH, the ligand concentration at the position of maximum slope [( A]0), and the value of nu/(n-nu) at this point. We then outline procedures for utilizing these equations to provide a "best fit" of the MWC model to the experimental data, and to obtain a refined set of the parameters. Finally, we demonstrate the applicability of the technique by analysis of oxygen binding data for Octopus hemocyanin.