Particle-number conservation, causality and linear response in biomedical imaging

Author(s)
Barbara Katharina Geist, Helmut Neufeld
Abstract

Employing the continuity equation for the tracer density and the methods of linear response theory, we develop efficient mathematical tools for the analysis of dynamically taken positron emission tomography (PET) data. Our approach is quite general, allowing a probabilistic description of the fate of a tracer particle in an arbitrary organ and the extraction of detailed information on the chronology of the underlying physiological processes. We illustrate our procedure by applying it to renal data taken by a combined PET/magnetic resonance imaging (MRI) scanner performed with a sugar analogue radio tracer. (c) 2021 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY license ( creativecommons.org/licenses/by/4.0/ )

Organisation(s)
Particle Physics
External organisation(s)
Medizinische Universität Wien
Journal
Applied Mathematics and Computation
Volume
409
No. of pages
13
ISSN
0096-3003
DOI
https://doi.org/10.1016/j.amc.2021.126418
Publication date
11-2021
Peer reviewed
Yes
Austrian Fields of Science 2012
302054 Nuclear medicine, 103019 Mathematical physics
Keywords
Portal url
https://ucris.univie.ac.at/portal/en/publications/particlenumber-conservation-causality-and-linear-response-in-biomedical-imaging(17be18b0-97d9-4f55-b1eb-2149c221038d).html