Figure S3.

Mathematical Modeling of Snf7 Growth and Mechanics, Related to Figure 3

(A) Mean-field disk addition scheme. We consider the addition of a new disk of radius r_i that does not overlap with any of the blue disks numbered from 1 to i-1 (i.e., we assume that its center falls outside of the gray circles). We evaluate the probability that this disk does not interfere with the intended nucleation site, which we represent as a dashed circle. This is equivalent to computing the probability that its center falls outside of the solid black circle. (B) Plot of the solution of Equation 16 of the Supplemental Information, Supplemental Mathematical Modeling. (C) Fit between the numerical and experimental cumulative disk radius distribution. Blue line: experimental data used in Figure 3D of the main text; black line: best fit, ã₀ = 0.043; gray lines: significantly worse fits obtained by altering this value by $\pm$ 10%, providing a measure of the uncertainty of the fit. (D) Polymer profiles observed by AFM (coordinates in nanometers). (E) Correlation function C(q) as a function of wavevector q: experimental measurement (black) and theoretical expression (Equation 24) with parameters l_p and α determined through Equation 25 (blue). (F) Deformed (a) and relaxed (b) coat shapes considered in section 3 of Supplemental Information, Supplemental Mathematical Modeling and resulting membrane curvature.