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substrate assay always has unsatisfactory precision. Therefore, this new kinetic method
itself is still much beyond satisfaction for substrate assay.
To concomitantly have wider linear ranges, desirable analysis efficiency and favourable
precision for enzyme substrate assay, the integration of kinetic analysis of reaction curve
with the equilibrium method can be used. The indexes of substrate quantities by the two
methods have exactly the same physical meanings, and thus the integration strategy can be
easily realized for enzyme substrate assay. By this integration strategy, there should still be
an overlapped range of concentrations of the substrate measurable consistently by both
methods, besides a switch threshold within such an overlapped region to change from the
equilibrium method to kinetic analysis of reaction curve. Additionally, this overlapped
region of substrate concentration measurable by both methods with consistent results
should localize in a range of substrate concentration high enough for reasonable precision of
substrate assay based on kinetic analysis of enzyme reaction curve. These requirements can
be met as described below. (a) The upper limit of linear response by the equilibrium method
should be optimized to be high enough, so that the difference between the initial signal
before enzyme action and the last recorded signal for about 80% of this upper limit is 50
times higher than the random noise of an instrument to record enzyme reaction curves; such
a difference can be used as the switch threshold. (b) The activity of a tool enzyme and the
duration to monitor reaction curve as experimental conditions should be optimized; kinetic
parameters except Vm for kinetic analysis of reaction curve are optimized as well. The
resistance of the predicted last signal to reasonable variations in data ranges for analysis can
be a criterion to judge the optimized set of preset parameters. For favourable analysis
efficiency in clinical laboratories, reaction duration can be about 5.0 min. This reaction
duration results in a minimum activity of the tool enzyme for the integration strategy so that
the upper limit of linear response by the equilibrium method can be high enough to switch
to kinetic analysis of reaction curve. This integration strategy after optimizations can
simultaneously have wider linear ranges, higher analysis efficiency and lower cost, better
precision and stronger resistance to factors affecting enzyme activities.
Similarly, with the integration strategy for enzyme substrate assay, we also use twice the
lower limit of the equilibrium method as the lower limit by the integration strategy if the
standard error of estimate is much larger; or else, three times the standard error of estimate
by the integration strategy is taken as the lower limit of linear response.
In general, the following steps are required to realize this integration strategy for enzyme
substrate assay: (a) to work out the integrated rate equation with the predictor variable of
reaction time; (b) to optimize individually the (kinetic) parameters preset as constants for
kinetic analysis of reaction curve; (c) to optimize the activity of the tool enzyme so that data
for the upper limit of linear response by the equilibrium method within about 5.0-min
reaction are suitable for kinetic analysis of reaction curve. As demonstrated later, this
integration strategy is applicable to enzymes suffering from strong product inhibition.
## 2.5 Applications of new methods to some typical enzymes
We investigated kinetic analysis of reaction curve with arylesterase (Liao, et al., 2001, 2003a,
2007b), alcohol dehydrogenase (ADH) (Liao, et al., 2007a), gama-glutamyltransfease (Li, et
al., 2011), uricase (Liao, 2005; Liao, et al., 2005a, 2005b, 2006; Liu, et al., 2009; Zhao, Y.S., et