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Simultaneous estimation of tracer kinetic model parameters using analytical and inverse approaches with a hybrid method

Simultaneous estimation of tracer kinetic model parameters using analytical and inverse approaches with a hybrid method

Natkunam, Kokulan, Hai, Yang, Lai, Choi-Hong ORCID: 0000-0002-7558-6398, George, Erwin ORCID: 0000-0001-9011-3970 and Liu, Li (2019) Simultaneous estimation of tracer kinetic model parameters using analytical and inverse approaches with a hybrid method. International Journal of Computer Mathematics. ISSN 0020-7160 (Print), 1029-0265 (Online) (doi:https://doi.org/10.1080/00207160.2018.1562175)

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Abstract

The inverse problem approach to Tracer Kinetic Modelling (TKM) using dynamic positron-emission tomography (PET) images is important in identifying the kinetic parameters and then quantifying the tracer concentrations in the region of interest. In parameter estimation, knowledge of good initial approximations to the parameters is essential. The aim of this paper is to extend existing work on an inverse method for tracer kinetics by proposing an improved hybrid method integrated with an analytic solution in a multi-objective formulation of the inverse method. The analytical solution is derived through the use of the Laplace transformation technique. This integrated approach will be compared against other parameter estimation techniques in terms of computational efficiency and accuracy.

Item Type: Article
Uncontrolled Keywords: Tracer kinetic modelling; Inverse problems; Laplace transform; Compartment model; Dynamic PET
Subjects: Q Science > QA Mathematics
Faculty / Department / Research Group: Faculty of Architecture, Computing & Humanities
Faculty of Architecture, Computing & Humanities > Department of Mathematical Sciences
Last Modified: 20 May 2019 09:42
Selected for GREAT 2016: None
Selected for GREAT 2017: None
Selected for GREAT 2018: None
Selected for GREAT 2019: GREAT 1
URI: http://gala.gre.ac.uk/id/eprint/22462

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