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Evaluation of a direct 4D reconstruction method using generalised linear least squares for estimating nonlinear micro-parametric maps

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Abstract

Objective

Estimation of nonlinear micro-parameters is a computationally demanding and fairly challenging process, since it involves the use of rather slow iterative nonlinear fitting algorithms and it often results in very noisy voxel-wise parametric maps. Direct reconstruction algorithms can provide parametric maps with reduced variance, but usually the overall reconstruction is impractically time consuming with common nonlinear fitting algorithms.

Methods

In this work we employed a recently proposed direct parametric image reconstruction algorithm to estimate the parametric maps of all micro-parameters of a two-tissue compartment model, used to describe the kinetics of [\(^{18}\)F]FDG. The algorithm decouples the tomographic and the kinetic modelling problems, allowing the use of previously developed post-reconstruction methods, such as the generalised linear least squares (GLLS) algorithm.

Results

Results on both clinical and simulated data showed that the proposed direct reconstruction method provides considerable quantitative and qualitative improvements for all micro-parameters compared to the conventional post-reconstruction fitting method. Additionally, region-wise comparison of all parametric maps against the well-established filtered back projection followed by post-reconstruction non-linear fitting, as well as the direct Patlak method, showed substantial quantitative agreement in all regions.

Conclusions

The proposed direct parametric reconstruction algorithm is a promising approach towards the estimation of all individual microparameters of any compartment model. In addition, due to the linearised nature of the GLLS algorithm, the fitting step can be very efficiently implemented and, therefore, it does not considerably affect the overall reconstruction time.

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Authors and Affiliations

  1. Faculty of Health Sciences and Brain and Mind Research Institute, The University of Sydney, Sydney, NSW, 2006, Australia

    Georgios I. Angelis

  2. Wolfson Molecular Imaging Centre, MAHSC, The University of Manchester, Manchester, M20 3LJ, UK

    Georgios I. Angelis, Julian C. Matthews, Fotis A. Kotasidis & Pawel J. Markiewicz

  3. Division of Nuclear Medicine and Molecular Imaging, Geneva University Hospital, University of Geneva, Geneva, Switzerland

    Fotis A. Kotasidis

  4. Department of Mathematics, The University of Manchester, Manchester, UK

    William R. Lionheart

  5. King’s College London, Lambeth Wing, St Thomas’ Hospital, London, SE1 7EH, UK

    Andrew J. Reader

  6. Montreal Neurological Institute, McGill University, Montreal, Canada

    Andrew J. Reader

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  1. Georgios I. Angelis
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  2. Julian C. Matthews
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Correspondence to Georgios I. Angelis.

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Angelis, G.I., Matthews, J.C., Kotasidis, F.A. et al. Evaluation of a direct 4D reconstruction method using generalised linear least squares for estimating nonlinear micro-parametric maps. Ann Nucl Med 28, 860–873 (2014). https://doi.org/10.1007/s12149-014-0881-2

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  • DOI: https://doi.org/10.1007/s12149-014-0881-2

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