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A self-consistent approach to the simulation of ionic motion in open ion channels

In this thesis, we develop the theoretical and numerical foundations for a self-consistent model for the simulation of the properties of ion channels - their conductivity and selectivity - from their structure. We begin by revising the one-dimensional theory of the ionic current by setting up the self-consistent coupled Langevin Poisson equations in one-dimension, as a prototype of the three dimensional simulations. The solution of a one-dimensional approximation of the Poisson's equation for a channel modelled as a long and narrow cylindrical tube is derived. Using this solution, we calculate the ion trajectory as it traverses the channel.

Identiferoai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:497174
Date January 2006
CreatorsTindjong, Rodrigue
PublisherLancaster University
Source SetsEthos UK
Detected LanguageEnglish
TypeElectronic Thesis or Dissertation

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