Yap E W, Hellums J D
Rice University, Houston, TX 77251.
Adv Exp Med Biol. 1987;215:193-207. doi: 10.1007/978-1-4684-7433-6_22.
The Adair four-step kinetic model for the reactions of haemoglobin and oxygen recognizes five haemoglobin species, corresponding to deoxyhaemoglobin and one species for each level of oxygenation of the four haem groups. Thus, an oxygen transport problem involves a system of five simultaneous non-linear partial differential equations for diffusion with chemical reaction. This mathematical complexity has impeded application of the Adair model despite its theoretical advantages over the one-step model often used in practice. The Adair kinetic model has been incorporated into a simulation of microcirculatory oxygen transport. The results show that the usual one-step kinetic model is inaccurate in comparison with the Adair model. However, an empirical modification can be made to the one-step model to ensure compatibility with the equilibrium curve. This modified one-step kinetic model (the VRC model) is much more tractable mathematically than the Adair model. In the physiological range of fluxes, the VRC kinetic model appears to be of sufficient accuracy for most purposes, and the mathematical complexity of the Adair model is not required.
血红蛋白与氧气反应的阿代尔四步动力学模型识别出五种血红蛋白种类，分别对应脱氧血红蛋白以及四个血红素基团每个氧合水平下的一种种类。因此，氧气运输问题涉及一个包含五个同时进行的非线性偏微分方程的系统，用于描述伴有化学反应的扩散过程。尽管阿代尔模型相较于实际中常用的一步模型具有理论优势，但这种数学上的复杂性阻碍了其应用。阿代尔动力学模型已被纳入微循环氧气运输的模拟中。结果表明，与阿代尔模型相比，常用的一步动力学模型并不准确。然而，可以对一步模型进行经验性修正，以确保与平衡曲线兼容。这种修正后的一步动力学模型（VRC模型）在数学上比阿代尔模型更易于处理。在通量的生理范围内，VRC动力学模型对于大多数目的而言似乎具有足够的准确性，不需要阿代尔模型的数学复杂性。
