Exact parameter identification in PET pharmacokinetic modeling using the irreversible two tissue compartment model
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| Název: | Exact parameter identification in PET pharmacokinetic modeling using the irreversible two tissue compartment model |
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| Autoři: | Holler, Martin, Morina, Erion, Schramm, Georg |
| Zdroj: | ISSN:0031-9155 ; ISSN:1361-6560 ; Physics In Medicine And Biology, vol. 69 (16), Art.No. ARTN 165008. |
| Informace o vydavateli: | IOP Publishing Ltd |
| Rok vydání: | 2024 |
| Témata: | Science & Technology, Technology, Life Sciences & Biomedicine, Engineering, Biomedical, Radiology, Nuclear Medicine & Medical Imaging, quantitative PET imaging, two-tissue compartment model, exact reconstruction, Tikhonov regularization, iteratively regularized Gauss Newton method, INPUT FUNCTION, CONVERGENCE-RATES, BINDING, IMAGES, Positron-Emission Tomography, Models, Biological, Image Processing, Computer-Assisted, Kinetics, Humans, 0299 Other Physical Sciences, 0903 Biomedical Engineering, 1103 Clinical Sciences, 5105 Medical and biological physics |
| Popis: | Objective.In quantitative dynamic positron emission tomography (PET), time series of images, reflecting the tissue response to the arterial tracer supply, are reconstructed. This response is described by kinetic parameters, which are commonly determined on basis of the tracer concentration in tissue and the arterial input function. In clinical routine the latter is estimated by arterial blood sampling and analysis, which is a challenging process and thus, attempted to be derived directly from reconstructed PET images. However, a mathematical analysis about the necessity of measurements of the common arterial whole blood activity concentration, and the concentration of free non-metabolized tracer in the arterial plasma, for a successful kinetic parameter identification does not exist. Here we aim to address this problem mathematically.Approach.We consider the identification problem in simultaneous pharmacokinetic modeling of multiple regions of interests of dynamic PET data using the irreversible two-tissue compartment model analytically. In addition to this consideration, the situation of noisy measurements is addressed using Tikhonov regularization. Furthermore, numerical simulations with a regularization approach are carried out to illustrate the analytical results in a synthetic application example.Main results.We provide mathematical proofs showing that, under reasonable assumptions, all metabolic tissue parameters can be uniquely identified without requiring additional blood samples to measure the arterial input function. A connection to noisy measurement data is made via a consistency result, showing that exact reconstruction of the ground-truth tissue parameters is stably maintained in the vanishing noise limit. Furthermore, our numerical experiments suggest that an approximate reconstruction of kinetic parameters according to our analytic results is also possible in practice for moderate noise levels.Significance.The analytical result, which holds in the idealized, noiseless scenario, suggests that for ... |
| Druh dokumentu: | article in journal/newspaper |
| Popis souboru: | application/pdf |
| Jazyk: | English |
| Relation: | https://lirias.kuleuven.be/handle/20.500.12942/745337; https://pubmed.ncbi.nlm.nih.gov/38830366 |
| DOI: | 10.1088/1361-6560/ad539e |
| Dostupnost: | https://lirias.kuleuven.be/handle/20.500.12942/745337 https://hdl.handle.net/20.500.12942/745337 https://lirias.kuleuven.be/retrieve/cbade176-fd01-4daf-a219-890b9aa564f7 https://doi.org/10.1088/1361-6560/ad539e https://pubmed.ncbi.nlm.nih.gov/38830366 |
| Rights: | info:eu-repo/semantics/openAccess ; public ; https://creativecommons.org/licenses/by/4.0/ |
| Přístupové číslo: | edsbas.6A30C4EF |
| Databáze: | BASE |
Nájsť tento článok vo Web of Science | Abstrakt: | Objective.In quantitative dynamic positron emission tomography (PET), time series of images, reflecting the tissue response to the arterial tracer supply, are reconstructed. This response is described by kinetic parameters, which are commonly determined on basis of the tracer concentration in tissue and the arterial input function. In clinical routine the latter is estimated by arterial blood sampling and analysis, which is a challenging process and thus, attempted to be derived directly from reconstructed PET images. However, a mathematical analysis about the necessity of measurements of the common arterial whole blood activity concentration, and the concentration of free non-metabolized tracer in the arterial plasma, for a successful kinetic parameter identification does not exist. Here we aim to address this problem mathematically.Approach.We consider the identification problem in simultaneous pharmacokinetic modeling of multiple regions of interests of dynamic PET data using the irreversible two-tissue compartment model analytically. In addition to this consideration, the situation of noisy measurements is addressed using Tikhonov regularization. Furthermore, numerical simulations with a regularization approach are carried out to illustrate the analytical results in a synthetic application example.Main results.We provide mathematical proofs showing that, under reasonable assumptions, all metabolic tissue parameters can be uniquely identified without requiring additional blood samples to measure the arterial input function. A connection to noisy measurement data is made via a consistency result, showing that exact reconstruction of the ground-truth tissue parameters is stably maintained in the vanishing noise limit. Furthermore, our numerical experiments suggest that an approximate reconstruction of kinetic parameters according to our analytic results is also possible in practice for moderate noise levels.Significance.The analytical result, which holds in the idealized, noiseless scenario, suggests that for ... |
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| DOI: | 10.1088/1361-6560/ad539e |