Analysis of Fitting Curves

Although they are able to use the progress curves for analysis of the data obtained from experimental assays, many biochemists prefer to use linear representations of enz5mie kinetics. Instead of using the time-dependent solution (1.26), they rearrange the time-dependent equation (1.21) to a sort of time-dependent regression expression, for example, the reciprocal double plot equation  

A plot of Eq. (1.58) will yield a straight line with an intercept of 1/F and a slope of KJV from which the kinetic parameters K.. and V can be obtained. 

However, this approach has been criticized and it is worthwhile to investigate whether the exaet logistie solution (1.51) may be better for fitting a linear eurve. 

we take advantage of the fact that the logistie solution (1.51) has an elementary form to take its derivative with respect to time. This provides an expression for the instantaneous veloeity (1.16), whieh ean be transformed to the finite difFerenee ([ 5 J-[ S](r))/r. 

Inversion of the result yields the expression the present discussion follows (Putz et al., 2007) 

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