Journal article
Framework models of ion permeation through membrane channels and the generalized King-Altman method
Bulletin of mathematical biology, Vol.68(7), pp.1429-1460
10/2006
Handle:
https://hdl.handle.net/2376/113756
PMID: 16868853
Abstract
A modern approach to studying the detailed dynamics of biomolecules is to simulate them on computers. Framework models have been developed to incorporate information from these simulations in order to calculate properties of the biomolecules on much longer time scales than can be achieved by the simulations. They also provide a simple way to think about the simulated dynamics. This article develops a method for the solution of framework models, which generalizes the King-Altman method of enzyme kinetics. The generalized method is used to construct solutions of two framework models which have been introduced previously, the single-particle and Grotthuss (proton conduction) models. The solution of the Grotthuss model is greatly simplified in comparison with direct integration. In addition, a new framework model is introduced, generalizing the shaking stack model of ion conduction through the potassium channel.
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Details
- Title
- Framework models of ion permeation through membrane channels and the generalized King-Altman method
- Creators
- Eric J Mapes - Department of Mathematics, Washington State University, Pullman, WA 99164-3113, USA. mapes@math.wsu.eduMark F Schumaker
- Publication Details
- Bulletin of mathematical biology, Vol.68(7), pp.1429-1460
- Academic Unit
- Mathematics and Statistics, Department of
- Publisher
- United States
- Identifiers
- 99900547326501842
- Language
- English
- Resource Type
- Journal article