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Abstract #4326

Fractional-order total variation penalised hyperpolarized metabolic model fitting in the human heart

Jack J. Miller1,2, Justin Y C Lau3, Andrew Lewis4, and Christoffer Laustsen1
1The MR Research Centre, Aarhus University, Aarhus, Denmark, 2OCMR, Radcliffe Department of Medicine, University of Oxford, Oxford, United Kingdom, 3GE Healthcare, Schenectady, NY, United States, 4OCMR, University of Oxford, Oxford, United Kingdom

Synopsis

Keywords: Hyperpolarized MR (Non-Gas), CardiovascularFractional-order derivatives represent the smooth analytic continuation of differentiation by a non-integer order. Their use for total-variation spatial regularisation has been proposed as they effectively smoothly interpolate data from the entirety of the image domain, and are reported to avoid ``blocky'' artefacts and better capture edges. Here, we show that their use permits the rapid and parsimonious optimisation of a piecewise metabolic model in the human heart, able to reconstruct terms representing perfusion delay and apparent metabolic rate constants of interconversion.

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