1. A method for producing, with a medical imaging system, an image that is indicative of a delay-compensated blood flow parameter in a tissue of interest in a subject, the steps comprising: a) administering a contrast agent to the subject; b) acquiring, with the medical imaging system, image data from the subject during a passage of the contrast agent through the tissue of interest; c) reconstructing images from the acquired image data; d) calculating an arterial input function (AIF) from the reconstructed images; e) calculating a residue function, using the calculated AIF, by circular-deconvolution to substantially suppress a delay between the calculated AIF and the passage of the contrast agent; and f) producing an image indicative of a delay-compensated blood flow parameter in the tissue of interest, using the calculated residue function.