Determination of isotherms from chromatographic peak shapes

Abstract

A new method for determining equilibrium isotherms from chromatographic peak shapes Is presented. It differs from alternative methods like elution by characteristic point in that the present method accounts for the finite efficiency of real chromatographic columns, and so the new method Is used to Its best advantage in systems of low plate number. In the new method, Initial estimates of the parameters of an Isotherm equation are refined by finding simulated chromatographic peak shapes that most nearly approximate the experimental peak shapes. A series of example determinations demonstrate the method's utility.

Repeatability and reproducibility of high-concentration data in reversed-phase liquid chromatography

“…This task can be efficiently achieved via the inverse method of isotherm determination. The inverse method was developed recently [12][13][14]. It derives the adsorption isotherm from a single overloaded band profile.…”

A systematic approach to SMB processes model identification from batch experiments

“…Most of the authors use an ideal model or an equilibrium dispersive (ED) model with numerical dispersion (Dose et al, 1991;James et al, 1999;Felinger et al, 2003b;Arnell et al, 2005;Forssén et al, 2006). This implies that the diffusion phenomenon is identical for both components which is not realistic.…”

“…This implies that the diffusion phenomenon is identical for both components which is not realistic. Some methods are applied to one component systems only (Dose et al, 1991;Cavazzini et al, 2003;Antos et al, 2000). Moreover, no systematic method for the estimation of the errors on the estimated parameters is reported.…”

Evaluation of the Langmuir Formalism for Modeling the Adsorption Isotherms of Proteins and Polyelectrolytes in Simulations of Ion Exchange Chromatography

“…Especially in ion exchange chromatography, stoichiometric models such as the stoichiometric displacement model (SDM) [1] or the steric mass action (SMA) [2] have been proposed to take some of these effects into account. In most cases, however, the Langmuir model is used to describe the adsorption behavior [3±5].…”

“…The adsorption rate can then be described as 1) k a C(1±h) and the desorption rate as k d h. Under the assumption of equilibrium, these two equations can be used to derive the well known Langmuir equation:…”