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Parameter Selection in Dynamic Contrast-Enhanced Magnetic Resonance Tomography

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Mathematical and Numerical Approaches for Multi-Wave Inverse Problems (CIRM 2019)

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Abstract

In this work we consider the image reconstruction problem of sparsely sampled dynamic contrast-enhanced (DCE) magnetic resonance imaging (MRI). DCE-MRI is a technique for acquiring a series of MR images before, during and after intravenous contrast agent administration, and it is used to study microvascular structure and perfusion. To overcome the ill-posedness of the related spatio-temporal inverse problem, we use regularization. In regularization one of the main problems is how to determine the regularization parameter which controls the balance between data fitting term and regularization term. Most methods for selecting this parameter require the computation of a large number of estimates even in stationary problems. In dynamic imaging, the parameter selection is even more time consuming since separate regularization parameters are needed for the spatial and temporal regularization functionals. In this work, we study the possibility of using the S-curve with DCE-MR data. We select the spatial regularization parameter using the S-curve, leaving the temporal regularization parameter as the only free parameter in the reconstruction problem. In this work, the temporal regularization parameter is selected manually by computing reconstructions with several values of the temporal regularization parameter.

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Notes

  1. 1.

    Segment length equals the number of radial spokes per image. The number of elements M in the data vector \(m_t\) is segment length times number of samples per spoke.

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Acknowledgements

This work was supported by Jane and Aatos Erkko foundation and the Academy of Finland, Centre of Excellence in Inverse Modelling and imaging (project 312343).

Author information

Authors and Affiliations

  1. IR4M UMR8081, CNRS, Université Paris-Sud, Université Paris-Saclay, SHFJ, 4 place du Général Leclerc, 91401, Orsay, France

    Kati Niinimäki

  2. Xray Division, Planmeca Oy, Asentajankatu 6, 00880, Helsinki, Finland

    Kati Niinimäki

  3. Department of Applied Physics, University of Eastern Finland, Kuopio, Finland

    M. Hanhela & V. Kolehmainen

Authors
  1. Kati Niinimäki
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  2. M. Hanhela
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  3. V. Kolehmainen
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Corresponding author

Correspondence to Kati Niinimäki .

Editor information

Editors and Affiliations

  1. Department of Mathematical Sciences, Chalmers University of Technology and University of Gothenburg, Gothenburg, Sweden

    Larisa Beilina

  2. Départment de Mathématiques - MAPMO, University of Orléans, Orleans, France

    Maïtine Bergounioux

  3. Institut de Mathématiques de Marseille, Aix-Marseille University, Marseille, France

    Michel Cristofol

  4. Institut Fresnel, Marseille, France

    Anabela Da Silva

  5. Institut Fresnel, Marseille, France

    Amelie Litman

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Niinimäki, K., Hanhela, M., Kolehmainen, V. (2020). Parameter Selection in Dynamic Contrast-Enhanced Magnetic Resonance Tomography. In: Beilina, L., Bergounioux, M., Cristofol, M., Da Silva, A., Litman, A. (eds) Mathematical and Numerical Approaches for Multi-Wave Inverse Problems. CIRM 2019. Springer Proceedings in Mathematics & Statistics, vol 328. Springer, Cham. https://doi.org/10.1007/978-3-030-48634-1_6

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