Fig. 6: Shapes and curvatures obtained from theoretical calculations. | Nature Communications

Fig. 6: Shapes and curvatures obtained from theoretical calculations.

From: Experimental determination and mathematical modeling of standard shapes of forming autophagosomes

Fig. 6

a–d Membrane shapes obtained from the bending energy with Gaussian modulus \({\kappa }_{G}=-0.2{\kappa }_{b}\) for several values of the rim radius \(l=0.8\) (a), \(l=0.6\) (b), \(l=0.4\) (c), and \(l=0.2\) (d), where the line color represents the total curvature. e–h The meridional and parallel curvatures \({J}_{m}\) and \({J}_{p}\) are shown in the right (\(x\ge 0\)) and left (\(x\le 0\)) regions, respectively. The same shapes as Panel a–d were used. i The meridional, parallel, and total curvatures, \({J}_{m}\) (red), \({J}_{p}\) (blue), and \(J\) (green), respectively, at the rim as a function of the rim radius, \(l\). The rim radii corresponding to Panel a–d are indicated. The unit of length was non-dimensionalized by the length \(\sqrt{A/2\pi }\). Source data are provided as a Source Data file.

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