Theoretically well-founded, adequate simulation of the chromatography is possible only on the base of the sorption dynamic theory with description of the thermodynamic equilibrium, hydrodynamics and kinetics of the sorption separation process. The mathematical model level mentioned was developed, and on its base the software IONCHROM was created. This simulator of IC allows to predict behavior of ionic mixtures in complicated conditions of the IC-separation with satisfactory precision, to optimize conditions of separation of given mixtures and to solve the inverse task for analysis of ionic composition of solutions. There are the sorption dynamic equations, the author's researches in the field of kinetic of high-performance IC, and developed by authors the method of optimization of separation based on construction of the dynamic map of chromatographic system, which are the base of the mathematical model.

The model is adequate in wide range of varying parameters and can be used for the estimation of chromatographic behavior of different substances on the columns packed with various ion-exchangers.

In the software for simulation of IC there is possibility to calculate isocratic and gradient modes.

A scheme allowed to adjust the theoretical calculation with chromatographic experiments and to minimize the time and expenses for the analysis of the unknown ionic mixtures was developed.