The physical and mathematical basis of a natural steady state, moving
pH gradient is outlined. With certain approximations, a differential e
quation of the concentration of the component contributing to the natu
ral steady state, moving pH gradient is formulated. Solutions of the d
ifferential equation and the relationships to the resolution calculati
ons of both carriers and trace components present in the large excesse
s of carriers are presented. The steady state distribution profiles of
both amphoteric and nonamphoteric components predict Gaussian distrib
utions only if and when the conductivity and the pH gradient remain co
nstant within the moving focused zone. The practical significance of t
he model is shown by its application to isoelectric focusing (IEF) wit
h electrophoretic mobilization, to isotachophoresis (ITP) with polyamp
holytic spacers, and to related methods. It is shown that the presente
d approximate model represents the transition between classical models
of IEF and ITP.