Format

Send to

Choose Destination
See comment in PubMed Commons below
Electrophoresis. 2009 Jun;30 Suppl 1:S7-15. doi: 10.1002/elps.200900133.

Theory of electrophoresis: fate of one equation.

Author information

1
Charles University in Prague, Faculty of Science, Prague, Czech Republic. gas@natur.cuni.cz

Abstract

Electrophoresis utilizes a difference in movement of charged species in a separation channel or space for their spatial separation. A basic partial differential equation that results from the balance laws of continuous processes in separation sciences is the nonlinear conservation law or the continuity equation. Attempts at its analytical solution in electrophoresis go back to Kohlrausch's days. The present paper (i) reviews derivation of conservation functions from the conservation law as appeared chronologically, (ii) deals with theory of moving boundary equations and, mainly, (iii) presents the linear theory of eigenmobilities. It shows that a basic solution of the linearized continuity equations is a set of traveling waves. In particular cases the continuity equation can have a resonance solution that leads in practice to schizophrenic dispersion of peaks or a chaotic solution, which causes oscillation of electrolyte solutions.

PMID:
19517504
DOI:
10.1002/elps.200900133
[Indexed for MEDLINE]
PubMed Commons home

PubMed Commons

0 comments
How to join PubMed Commons

    Supplemental Content

    Loading ...
    Support Center