The Library
Mathematical modelling and identifiability applied to positron emission tomography data
Tools
Gunn, Roger (1996) Mathematical modelling and identifiability applied to positron emission tomography data. PhD thesis, University of Warwick.
|
PDF
WRAP_THESIS_Gunn_1996.pdf - Submitted Version - Requires a PDF viewer. Download (8Mb) |
Official URL: http://webcat.warwick.ac.uk/record=b1402611~S1
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 (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: |
|
||||
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Publication Status: | Unpublished | ||||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 |
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |
Downloads
Downloads per month over past year