Other Methods for Handling Chromatographic Curves

This method was applied to estimation of parameters in simpler models by Hopkins el al. (1969), Ostergaard and Michelsen (1969), Michelson and Ostergaard (1970) and Middoux and Charpentier 

In the case of a dispersion model, for instance, transfer function G(p) is given as Eq. (6-59). Transfer function is defined as the ratio of the Laplace transform of the elution concentration curve and that of the input concentration curve, the latter of which is a constant in the case of impulse input. Laplace parameter, p, is a complex variable but if a response curve, C(r), is transformed by using Eq. (6-8) by assuming p as a real parameter, then the resultant C(p) gives a transfer function G(p) by dividing by the size of pulse, M, in a real plane. C(p) is then compared with the solution of basic equations obtained in a Laplace domain. 

if G(p) is determined from elution curve for several values of parameter, , F(p) is obtained, and by plotting llF p) versuspl F(p)y, t and Pe are determined from the slope and the intercept of a straight regression line. 

Also for comparison with the two-phase exchange model, F p) = ln(G( )) is given from Eq. (6-65) as 

Thus plots of llF(p) versus I Ip for various p should become a straight line whose intercept and slope should give S and z. 

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