Mathematical Model of a pH-gradient Creation at Isoelectrofocusing. Part IV. Theory

TL;DR

This paper develops a comprehensive mathematical model for the non-stationary pH-gradient in isoelectrofocusing, incorporating electric current, water dissociation, and charge points, advancing understanding of the IEF process.

Contribution

It introduces a detailed mathematical model of pH-gradient formation in IEF, including electric current, water dissociation, and charge point differences, extending previous models.

Findings

Model accounts for diffusive electric current and water dissociation.

Analysis of Kohlraush's function evolution.

Discussion of Poisson-Boltzmann equation's role.

Abstract

The mathematical model describing the non-stationary natural pH-gradient arising under the action of an electric field in an aqueous solution of ampholytes (amino acids) is constructed. The model is a part of a more general model of the isoelectrofocusing (IEF) process. The presented model takes into account: 1) general Ohm's law (electric current flux includes the diffusive electric current); 2) dissociation of water; 3) difference between isoelectric point (IEP) and isoionic point (PZC -- point of zero charge). We also study the Kohlraush's function evolution and discuss the role of the Poisson-Boltzmann equation.