Quantitative analysis of three-dimensional cell organisation and concentration profiles within curved epithelial tissues

Organogenesis involves folding of flat epithelial tissues into three-dimensional (3D) shapes. Quantitative analysis in 3D of the concentration gradients of biochemical and mechano-chemical cues that shape the tissue has remained a challenge, due to the complex tissue geometries. Towards addressing this, we present a methodology that transforms the cartesian images acquired by high-resolution confocal microscopy of curved tissues into a laminar organisation from the outer-most tissue surface. We further detail a data-based intensity correction method to account for the intensity variations that arise as a consequence of the global geometry. Applying our approach to the dome-shaped Drosophila wing disc, we quantitatively estimate the concentration profiles of different biochemical signals, including the Wingless morphogen gradient. The laminar data-organisation method also enabled visualisation of apical and basal layers facilitating an accurate 3D reconstruction of cell shapes within the pseudostratified epithelium. We find that the columnar disc proper cells have irregular 3D shapes and undergo frequent apico-basal cell intercalations, concomitantly leading to cell neighbour exchanges along the apico-basal axis. The workflow of image processing described here may be employed to quantify 3D concentration gradients and 3D cellular organisation in any layered curved tissue, provided a marker describing the reference surface manifold is available.