Isotachophoresis (ITP) is exploited to control various aspects of chemical reactions. In a first aspect, at least one of the reactants of a chemical reaction is confined to an ITP zone, but the resulting product of the chemical reaction is separated from this ITP zone by the ITP process. In a second aspect, one or more reactants of a chemical reaction are confined to an ITP zone, and one or more other reactants of the chemical reaction are not confined to this ITP zone. In a third aspect, ITP is employed to confine at least one reactant of a chemical reaction to an ITP zone, and at least one reactant of the chemical reaction is delivered to the ITP zone in two or more discrete doses. These aspects are especially relevant to performing polymerase chain reactions using chemical denaturants as opposed to thermal cycling.