Using inverse Laplace transform in positronium lifetime imaging

Positronium (Ps) lifetime imaging is gaining attention to bring out additional biomedical information from positron emission tomography (PET). The lifetime of Ps can change depending on the physical and chemical environments related to some diseases. Due to the limited sensitivity, Ps lifetime imagi...

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Bibliographic Details
Published in:Physics in medicine & biology Vol. 67; no. 2
Main Authors: Shibuya, Kengo, Saito, Haruo, Tashima, Hideaki, Yamaya, Taiga
Format: Journal Article
Language:English
Published: England IOP Publishing 21.01.2022
Subjects:
Algorithms
hypoxia imaging
inverse Laplace transform
numerical iterative algorithm
oxygen partial pressure
Positron-Emission Tomography
positronium lifetime imaging
Tikhonov regularization
Tomography, X-Ray Computed
hypoxia imaging
oxygen partial pressure
positronium lifetime imaging
numerical iterative algorithm
positron emission tomography
Tikhonov regularization
inverse Laplace transform
ISSN:1361-6560, 1361-6560
Online Access:Get full text
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Summary:Positronium (Ps) lifetime imaging is gaining attention to bring out additional biomedical information from positron emission tomography (PET). The lifetime of Ps can change depending on the physical and chemical environments related to some diseases. Due to the limited sensitivity, Ps lifetime imaging may require merging some voxels for statistical accuracy. This paper presents a method for separating the lifetime components in the voxel to avoid information loss due to averaging. The mathematics for this separation is the inverse Laplace transform (ILT), and the authors examined an iterative numerical ILT algorithm using Tikhonov regularization, namely CONTIN, to discriminate a small lifetime difference due to oxygen saturation. The separability makes it possible to merge voxels without missing critical information on whether they contain abnormally long or short lifetime components. The authors conclude that ILT can compensate for the weaknesses of Ps lifetime imaging and extract the maximum amount of information.
Bibliography:PMB-112927
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ISSN:1361-6560
1361-6560
DOI:10.1088/1361-6560/ac499b