Case-analysis methodology. Panel (a) shows the evolution of Case-13. The dashed green line marks the trajectory of the brightening loop. Panel (b) presents the T–S map, constructed along the dashed green trajectory in panel a3; the solid white line indicates the propagation velocity of the brightening front. The T–S map was used to derive the characteristic timescale, L_b, propagation velocity, and other physical properties of the event. Panel (c) shows the schematic illustration of the timescale determination based on the light curve obtained by integrating the intensity along the selected loop path. The dashed blue line denotes the mean intensity of the lowest 50% of pixels, and the dashed red lines indicate the reference baseline used to identify the brightening and intensity decreasing phases. Panel (d) displays the light curves from multiple AIA passbands and the HRI_EUV passband.