Modelling of the SED of Mrk 501 compiled from measurements collected during the high state observed around MJD 54 973. Two-zone SSC models have been inspected following the grid-scan strategy. The total emission (solid lines) is assumed to stem from a first quiescent region (black dot-dashed lines) responsible for the average state (Abdo et al. 2011a) plus a second emission region (dashed lines). Highlighted are the model with the highest probability of agreement with the data (red), a model featuring a prominent high-energy component in the EED (orange), and a model with low Doppler factor (cyan, δ = 5). Model curves underlaid in grey show the bands spanned by models with a fit probability better than 0.9 × P_best, 0.5 × P_best and 0.1 × P_best, respectively. The data points have been corrected for EBL absorption according to the model by Franceschini et al. (2008).