2018
DOI: 10.1109/trpms.2018.2801029
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Reference Tissue Models for FDG-PET Data: Identifiability and Solvability

Abstract: A reference tissue model (RTM) is a compartmental approach to the estimation of the kinetic parameters of the tracer flow in a given two-compartment target tissue (TT) without explicit knowledge of the time activity curve (TAC) of tracer concentration in the arterial blood. An "indirect" measure of arterial concentration is provided by the TAC of a suitably chosen one-compartment reference tissue (RT). The RTM is formed by the RT and the TT. In this paper, it is shown that the RTM is identifiable, i.e., the ra… Show more

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Cited by 10 publications
(14 citation statements)
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“…The results provided by the application of BCM need for further investigations. In fact, the basic scheme of this approach is rather flexible and may be modified to allow for consideration of peculiarities of specific organs, as done for classical models in (Garbarino et al, 2014, 2015), may be associated with reference tissue formulations (see (Scussolini et al, 2018) and references cited therein), or to pixel-wise analysis (see (Scussolini et al, 2017) and references cited therein).…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…The results provided by the application of BCM need for further investigations. In fact, the basic scheme of this approach is rather flexible and may be modified to allow for consideration of peculiarities of specific organs, as done for classical models in (Garbarino et al, 2014, 2015), may be associated with reference tissue formulations (see (Scussolini et al, 2018) and references cited therein), or to pixel-wise analysis (see (Scussolini et al, 2017) and references cited therein).…”
Section: Discussionmentioning
confidence: 99%
“…In order to solve it, our approach followed a regularized Newton-type method (Bauer et al, 2009; Delbary and Garbarino, 2016), already validated and applied successfully in other compartmental problems, e.g. models for complex physiologies (Garbarino et al, 2014, 2015), parametric imaging (Scussolini et al, 2017), and reference tissue approaches (Scussolini et al, 2018). The algorithm is denoted as reg-GN in the following.…”
Section: The Compartmental Modelmentioning
confidence: 99%
“…However, it also considers FDG6P transport though the ER membrane (defined as k 5 ) as the needed step for tracer access to G6Pase-catalyzed hydrolysis and back-diffusion to the cytosol (defined as k 6 ) facilitated by the high abundance of GLUTs in ER membrane. The inverse problem of compartmental analysis was solved by means of a Newton-type iterative algorithm, already used and validated by our group [[31], [32], [33], [34], [35]].…”
Section: Methodsmentioning
confidence: 99%
“…The numerical reduction of both models has been performed by means of a regularized Newton-type method [23,24], already validated and applied successfully in other compartmental problems, e.g. in the modeling of complex physiologies [25,26], in parametric imaging [27], and in reference tissue approaches [28]. The algorithm is denoted as reg-GN in the following.…”
Section: Image Analysismentioning
confidence: 99%