Mathematically constrained intravoxel incoherent motion (IVIM)
Jiaqiu Wang1, Thomas Barrick2, Matt Hall3, Muge Karaman4, Richard Magin4, David Reiter5, Qianqian Yang6, Qiang Yu1, Fatima Nasrallah 7, Weeyao Koh8, and Viktor Vegh1,9
1Centre for Advanced Imaging, University of Queensland, Brisbane, Australia, 2Neuroscience Research Centre, St George's, University of London, London, United Kingdom, 3National Physical Laboratory, Teddington, United Kingdom, 4Department of Bioengineering, University of Illinois at Chicago, Chicago, IL, United States, 5Department of Radiology and Imaging Sciences, Emory University, Atlanta, GA, United States, 6School of Mathematical Sciences, Queensland University of Technology, Brisbane, Australia, 7Queensland Brain Institute, University of Queensland, Brisbane, Australia, 8National University Cancer Institute Singapore, National University Hospital, Singapore, Singapore, 9ARC Training Centre for Innovation in Biomedical Imaging Technology, Brisbane, Australia
Intravoxel incoherent motion (IVIM) provides a method of mapping slow and fast diffusion using a two-exponential model. Whilst this method has been applied in acute stroke, brain cancer and muscle, for example, it does have challenges. These include how to best fit the three model parameters which on top of the two diffusion coefficients includes the fast diffusion volume fraction (i.e., perfusion fraction), and how to best sample b-values which lead to robust model parameter fits. Here we propose an approach based on quasi-diffusion which helps constrain the model fit and show reproducibility under different b-value sampling regimes.
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