Approximation of the weak solution for the stationary isoelectrofocusing problem

M. Yu. Zhukov^a, L. V. Sakharova<sup>b

a</sup> Southern Federal University
^b Sedov Water Transport Institute

Abstract: The mathematical model describing a stationary natural pH-gradient arising in water solution of ampholytes under the influence of an electric field is constructed and investigated. The model is a part of the general isoelectric focusing model. Isoelectric focusing is the method of separation of multicomponent mixes (proteins, amino acids) on individual components by an electric field in the medium with the non-uniform pH. To obtain the solution of the problem we used the method based on approximation of the weak solution by piecewise-continuous functions. The different approximations of solution are presented.

Keywords: weak solution, approximation, isoelectric focusing.

UDC: 519.624.1:51-73:53.097:53.043

Received: 03.07.2013