Gunn, Roger (1996) Mathematical modelling and identifiability applied to positron emission tomography data. PhD thesis, University of Warwick.

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Abstract

Positron emission tomography (PET) is an in vivo tracer kinetic technique. This
thesis is concerned with the analysis of data derived from PET studies in humans.
There are two related themes in the thesis. Firstly, the derivation of mathematical
models with particular reference to the modelling of radiolabelled metabolite
formation in plasma and tissue. Secondly, the identifiability of model structures
is examined, and a method for the reparameterisation of unidentifiable models
is derived. Compartmental models describing the accumulation of radiolabelled
metabolites in plasma following the intravenous administration of [11C]flumazenil
and [11C]diprenorphine are presented. A theorem is presented which gives conditions
for a unique solution to the spectral analysis approach (a kinetic modelling
technique used in PET which is based on the a priori definition of a large set of basis
functions). Mathematical techniques are presented for the analysis of expired 11CO2,
a major labelled metabolite in many PET studies. This range of analytical
and modelling techniques is then applied to the analysis of [11C]thymidine
scans. [11C]Thymidine is a PET tracer being developed for the measure of tumour
proliferation in cancer patients. The techniques developed in the thesis allow for
the removal of the confounding labelled metabolite signals from both plasma and
tissue data.

Item Type:	Thesis or Dissertation (PhD)
Subjects:	Q Science > QA Mathematics R Medicine > RC Internal medicine
Library of Congress Subject Headings (LCSH):	Tomography, Emission -- Mathematical models, Metabolites -- Mathematical models
Official Date:	April 1996
Dates:	Date Event April 1996 Submitted
Institution:	University of Warwick
Theses Department:	School of Engineering
Thesis Type:	PhD
Publication Status:	Unpublished
Supervisor(s)/Advisor:	Cunningham, Vin ; Chappell, Michael John, 1960- ; Rajeswaran, Suran
Sponsors:	Medical Research Council (Great Britain) (MRC)
Extent:	210 leaves
Language:	eng
URI:	http://wrap.warwick.ac.uk/id/eprint/36241

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