Examples of loops for which models L (top), G (middle), and S (bottom) were found to best describe the data. Left: SDO/AIA 171 Å image of an analysed loop. The blue lines indicates the location of the slits used to generate the transverse intensity profiles. The white box and inset show a magnified region around the loop. Middle: 171 Å EUV intensity profile (symbols) across the selected loop. Model L (blue line) is plotted, with the model values being the median values from the corresponding probability distributions. The shaded areas represent the 99% confidence region for the intensity predicted by the model, with (red) and without (blue) modelled noise.The vertical dotted and dashed lines denote x₀ and x₀ ± R, respectively. Right: returned density profiles for models S (solid), L (dashed) and G (dotted).