Chromatography Models with Langmuir and Steric Mass Action Adsorption Isotherms are of Differential Index One

摘要

Chromatography is commonly applied for the separation of bio-molecules in pharmaceutical industry, and chromatography models are increasingly applied for rational process analysis and optimization. A rapid equilibrium assumption is often applied for the adsorption equation, which results in a non-linear system of partial differential-algebraic equations (PDAEs). In this contribution a proof is given, that these PDAEs are of differential index one for the two most prominent isotherm models, Langmuir and steric mass action (SMA).