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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