Experimental determination and mathematical modeling of standard shapes of forming autophagosomes

The formation of autophagosomes involves dynamic morphological changes of a phagophore from a disk-shaped membrane cisterna into a cup-shaped intermediate and a spherical autophagosome. However, the physical mechanism behind these morphological changes remains elusive. Here, we determined the average shapes of phagophores by statistically investigating three-dimensional electron micrographs of more than 100 phagophores. The results showed that the cup-shaped structures adopted a characteristic morphology; they were longitudinally elongated, and the rim was catenoidal with an outwardly recurved shape. To understand these characteristic shapes, we established a theoretical model of the shape of entire phagophores. The model quantitatively reproduced the average morphology and revealed that the characteristic shape of phagophores (i.e., an elongated shape with a catenoidal rim) was primarily determined by the relative size of the open rim to the total surface area. These results suggest that autophagosomal membranes are highly flexible and that the morphological changes during autophagosome formation follow a stable path determined by elastic bending energy minimization. Summary The formation of autophagosomes involves dynamic morphological changes of membrane cisternae. Sakai et al. determined the average shapes of forming autophagosomes by statistically investigating three-dimensional electron micrographs and established a theoretical model that quantitatively reproduces the phagophore shapes. ### Competing Interest Statement The authors have declared no competing interest.