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.
| Identifer | oai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:497174 |
| Date | January 2006 |
| Creators | Tindjong, Rodrigue |
| Publisher | Lancaster University |
| Source Sets | Ethos UK |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
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