A) A two-site exchange model that includes pyruvate vascular input was applied for the simulation of spin-echo RF spoiling effects. Spoiling was modeled as magnetization loss in the input function Mpyr,A(t) with equivalent decay factor TDSE. B) With stronger DSE spoiling (i.e. a shorter time constant), the pyruvate signal decays more rapidly than expected. This leads to poor pyruvate fits and overestimation of kPL if a fixed AIF is used, which can be eliminated with an inputless fitting that makes no assumptions about the AIF [15,28]. Note that MAIF(t) is the AIF magnetization curve, while Sx(t) is the signal curve for metabolite x. In fact, the magnetization and signal curves have independent scaling and were only plotted together for illustration purposes.