Operational Conditions for Gel Chromatography —Prediction of Elution Curves—

Abstract

Prediction of elution curves in gel chromatography was attempted on the basis of a mass balance model which gave consideration to gel phase diffusion and longitudinal dispersion in a column. The basic differential equations for the model were solved by means of Laplace transformation, and then the solution in Laplace domain was inverted into time domain numerically. The calculated elution curves were in good agreement with the experimental ones of NaCl and myoglobin with various Sephadex gel columns. This indicated the validity of the calculation method and the model employed in this study. Furthermore, the elution curves were calculated tentatively for various combinations of the parameters appearing in the mass balance model. Then, the magnitude of peak asymmetry, the shift of peak position and the maximum peak height of the elution curves were correlated with various parameters and operational variables. These correlations might permit prediction of suitable operational conditions for gel chromatography, especially for molecular weight determination.