Mathematical theory of isoelectric focusing.
type: CreativeWork
description: A mathematical model describing transient processes in isoelectric focusing (IEF) of M biprotic ampholytes is proposed. The problem consists of nonlinear partial differential equations and algebraic equations under nonlinear boundary conditions. Different models of IEF have been studied. For each model problem, we investigated the qualitative properties such as the local existence, global boundedness, stabilizations, and steady-state structures of its solutions. We have shown that, for all models the solutions of the evolution problem stabilize to the steady-state solutions, which have separate peaks at a certain point (the so-called isoelectric point). This means that for transient IEF processes, the concentrations of ampholytes will focus on their isoelectric points as time goes on. All these analytic results showed good agreement with the laboratory experiments and computer simulations.
abstract: A mathematical model describing transient processes in isoelectric focusing (IEF) of M biprotic ampholytes is proposed. The problem consists of nonlinear partial differential equations and algebraic equations under nonlinear boundary conditions. Different models of IEF have been studied. For each model problem, we investigated the qualitative properties such as the local existence, global boundedness, stabilizations, and steady-state structures of its solutions. We have shown that, for all models the solutions of the evolution problem stabilize to the steady-state solutions, which have separate peaks at a certain point (the so-called isoelectric point). This means that for transient IEF processes, the concentrations of ampholytes will focus on their isoelectric points as time goes on. All these analytic results showed good agreement with the laboratory experiments and computer simulations.
author: Su, Yu.
language: en
keywords: Mathematics
date published: 1990
date modified: 2026-07-24T00:57:10Z
provider: University of Arizona
publisher: Networked Digital Library of Theses and Dissertations
type: WebPage
source organization: The University of Arizona.

PropertyValue
property ID: Handle
value: http://hdl.handle.net/10150/185122