Investigation of isoelectric focusing (IEF) kinetics has been performed to provide the theoretical basis for miniaturization of classical IEF in immobilized pH-gradients. Standard IEF demands colinearity of the electric field and pH-gradient directions (serial devices). It is shown that the IEF separation process based on a continuous, serial pH gradient is incompatible with miniaturization of separation devices. The new realization of the IEF device by a parallel IEF chip is suggested and analyzed. The main separation tool of the device is a dielectric membrane (chip) with conducting channels that are filled by Immobiline gels of varying pH. The membrane is held perpendicular to the applied electric field and proteins are collected (trapped) in the channels whose pH are equal to the pI of the proteins. The pH value of the surrounded aqueous solution is not equal to any channel's pH. The fast particle transport between different channels takes place due to convection in the aqueous solution. The new device geometry introduces two new spatial scales to be considered: the scale of transition region from a solution to the gel in a channel and a typical channel size. The corresponding time scales defining the IEF process kinetics are analyzed and scaling laws are obtained. It is shown both theoretically and experimentally that parallel IEF accelerates the fractionation of proteins by their pI down to several minutes and enables possible efficient sample collection and purification.