• Login
• Admin

Ball, Sue (2001) Stochastic models of ion channels. PhD thesis, University of Nottingham.

Preview

PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader Download (17MB) | Preview

Abstract

This thesis is concerned with models and inference for single ion channels.

Molecular modelling studies are used as the basis for biologically realistic, large state-space gating models of the nicotinic acetylcholine receptor which enable single-channel kinetic behaviour to be characterized in terms of a small number of free parameters. A model is formulated which incorporates known structural information concerning pentameric subunit composition, interactions between neighbouring subunits and knowledge of the behaviour of agonist binding sites within the receptor-channel proteins. Expressions are derived for various channel properties and results are illustrated using numerical examples. The model is adapted and extended to demonstrate how properties of the calcium ion-activated potassium ion channel may be modelled.

A two-state stochastic model for ion channels which incorporates time interval omission is examined. Two new methods for overcoming a non-identifiability problem induced by time interval omission are introduced and simulation studies are presented in support of these methods. A framework is presented for analysing the asymptotic behaviour of the method-of-moments estimators of the mean lengths of open and closed sojourns. This framework is used to clarify the origin of the non-identifiability and to construct confidence sets for the mean sojourn lengths. A conjecture concerning the number of solutions of the moment estimating equations is proved.

Item Type:	Thesis (University of Nottingham only) (PhD)
Supervisors:	Ball, F.G. Sansom, M.S.P.
Subjects:	Q Science > QA Mathematics > QA273 Probabilities
Faculties/Schools:	UK Campuses > Faculty of Science > School of Mathematical Sciences
Item ID:	11277
Depositing User:	EP, Services
Date Deposited:	13 May 2010 12:47
Last Modified:	16 Oct 2017 04:46
URI:	https://eprints.nottingham.ac.uk/id/eprint/11277

Actions (Archive Staff Only)

Edit View