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A simple recipe for setting up the flux equations of cyclic and linear reaction schemes of ion transport with a high number of states: The arrow scheme

Hansen, Ulf-Peter and Rauh, Oliver and Schroeder, Indra (2016):
A simple recipe for setting up the flux equations of cyclic and linear reaction schemes of ion transport with a high number of states: The arrow scheme.
In: Channels, 10 (2), Taylor & Francis, pp. 119-138, ISSN 1933-6950,
DOI: 10.1080/19336950.2015.1120391,
[Online-Edition: https://doi.org/10.1080/19336950.2015.1120391],
[Article]

Abstract

The calculation of flux equations or current-voltage relationships in reaction kinetic models with a high number of states can be very cumbersome. Here, a recipe based on an arrow scheme is presented, which yields a straightforward access to the minimum form of the flux equations and the occupation probability of the involved states in cyclic and linear reaction schemes. This is extremely simple for cyclic schemes without branches. If branches are involved, the effort of setting up the equations is a little bit higher. However, also here a straightforward recipe making use of so-called reserve factors is provided for implementing the branches into the cyclic scheme, thus enabling also a simple treatment of such cases.

Item Type: Article
Erschienen: 2016
Creators: Hansen, Ulf-Peter and Rauh, Oliver and Schroeder, Indra
Title: A simple recipe for setting up the flux equations of cyclic and linear reaction schemes of ion transport with a high number of states: The arrow scheme
Language: English
Abstract:

The calculation of flux equations or current-voltage relationships in reaction kinetic models with a high number of states can be very cumbersome. Here, a recipe based on an arrow scheme is presented, which yields a straightforward access to the minimum form of the flux equations and the occupation probability of the involved states in cyclic and linear reaction schemes. This is extremely simple for cyclic schemes without branches. If branches are involved, the effort of setting up the equations is a little bit higher. However, also here a straightforward recipe making use of so-called reserve factors is provided for implementing the branches into the cyclic scheme, thus enabling also a simple treatment of such cases.

Journal or Publication Title: Channels
Volume: 10
Number: 2
Publisher: Taylor & Francis
Divisions: 10 Department of Biology > Plant Membrane Biophysics
10 Department of Biology
Date Deposited: 23 Feb 2018 07:53
DOI: 10.1080/19336950.2015.1120391
Official URL: https://doi.org/10.1080/19336950.2015.1120391
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