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On the structural and practical identifiability of multi-echo BBB-ASL tracer kinetic models

Manson, Tabitha J; Thomas, David L; Günther, Matthias; Tippett, Lynette J; Dragunow, Michael; Morgan, Catherine A; Suresh, Vinod; (2025) On the structural and practical identifiability of multi-echo BBB-ASL tracer kinetic models. Magnetic Resonance in Medicine 10.1002/mrm.70075. (In press). Green open access

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Abstract

Purpose: Tracer kinetic models are used in arterial spin labeling (ASL); however, deciding which model parameters to fix or fit is not always trivial. The identifiability of the resultant system of equations is useful to consider, since it will likely impact parameter uncertainty. Here, we analyze the identifiability of two-compartment models used in multi-echo (ME) blood–brain-barrier (BBB)-ASL and evaluate the reliability of the fitted water-transfer rate (kw). / Method: The identifiability of two variants of a two-compartment model (referred to here as “series” and “parallel”) were analyzed using sensitivity matrix and Monte-Carlo simulation methods, the latter including the effects of noise and fixed-parameter error. ME-ASL data were collected at 3T in 25 cognitively normal participants (57–85 y). In one volunteer, additional scans were acquired to estimate noise. Fits for whole-gray-matter kw were performed with a theoretically identifiable version of the model. / Results: All models needed one or more fixed parameters to be structurally identifiable, with different combinations required for each. Practical identifiability analysis yielded kw estimates with a median absolute error of 29% (parallel model) and 33% (series model). Fits to data yielded median kw values of 0 (parallel) and 96 min−1 (series). / Conclusion: We used identifiability analysis to determine an appropriate BBB-ASL model for acquired data. Through simulations we showed that parameter estimates depend on model selection and the value of fixed parameters. We demonstrated that fixed-parameter value and errors significantly impact the reliability of kw values obtained from acquired ME-ASL images, even with structurally identifiable models.

Type: Article
Title: On the structural and practical identifiability of multi-echo BBB-ASL tracer kinetic models
Location: United States
Open access status: An open access version is available from UCL Discovery
DOI: 10.1002/mrm.70075
Publisher version: https://doi.org/10.1002/mrm.70075
Language: English
Additional information: Copyright © 2025 The Author(s). Magnetic Resonance in Medicine published by Wiley Periodicals LLC on behalf of International Society for Magnetic Resonance in Medicine. This is an open access article under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
Keywords: arterial spin labeling, blood–brain barrier, cerebral blood flow, identifiability, water exchange, water permeability
UCL classification: UCL
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Brain Sciences
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Brain Sciences > UCL Queen Square Institute of Neurology
URI: https://discovery.ucl.ac.uk/id/eprint/10213994
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