A useful graphical method for the estimation of kinetic parameters in substrate inhibition was described by Marmasse (1963). However, with substrate inhibition plots, even after a successful graphical analysis is completed, one should always fit the data to the appropriate equation with a computer program in order to estimate the kinetic constants. [Pg.202]

Figure 17. Graphical method for the estimation of the E and C parameters of a polymer using two solvents of known E and C values, and a knowledge of the exothermic acid-base interaction between the polymer and solvent 1 (-Z Wabi) and solvent 2 (-A//ab2) |

Simple, graphical methods for testing the fit of rate data to Equation 9 and for estimating the kinetic parameters k2 and KR involve using linearized forms of Equation 9. By far the most widely used linear form is that of Kitz and Wilson (14). Taking reciprocals of both sides of Equation 9, we obtain [Pg.272]

The parameters A, B, and C are dependent on the particular nature of the gas. Katz developed a simple method for gas mixtures that takes the composition of the gas into account [942,1086]. Furthermore, a graphic method is available that permits the estimation of the hydrate-forming temperatures at pressures for natural gas containing up to 50% hydrogen sulfide [129]. [Pg.178]

Parameter Estimation. WeibuU parameters can be estimated using the usual statistical procedures however, a computer is needed to solve readily the equations. A computer program based on the maximum likelihood method is presented in Reference 22. Graphical estimation can be made on WeibuU paper without the aid of a computer however, the results caimot be expected to be as accurate and consistent. [Pg.13]

We compared several methods (point estimator determined by the hkelihood principle or the momentum method and the graphical method) that determine the parameters of the lognormal, the normal and the Weibull distribution. We foimd that in aU cases resampling must be applied because of the few data that is available. [Pg.1039]

In section 4 we indicate how the probit function (lognormal distribution), the normal and WeibuU distribution function parameters are obtained from experimental data. We use the graphical method, point estimator and momentum method within a resambling approach. In section 5 we summarize and conclude. [Pg.1035]

Graphical analysis must always precede the statistical analysis. It is imperative to keep short the time elapsed between data acquisition and data analysis, and in most cases, it is advisable to perform the graphical analysis even while the experiment is still in progress. Wien the data clearly define the nature ofthe rate or binding equation, statistical analysis is not needed to do this. Nevertheless, for a definitive work, statistical methods are necessary for parameter estimation as well as for model discrimination (Senear Bolen, 1992). Computer programs are now available for even the most sophisticated problems in enzyme kinetics (see Section 18.2.4). [Pg.411]

Some simple reaction kinetics are amenable to analytical solutions and graphical linearized analysis to calculate the kinetic parameters from rate data. More complex systems require numerical solution of nonlinear systems of differential and algebraic equations coupled with nonlinear parameter estimation or regression methods. [Pg.36]

© 2019 chempedia.info