“…The two examples, v = 0.6 and v = 0.95, are shown by filled and open symbols in the figure . As the particle's radius is reduced (or y increases), we can see that the numerical results converge to the theoretical curves for small R p , equation (20), plotted as the solid curve for v = 0.95 and dashed curve for v = 0.6. The numerical results were obtained by solving the shape equation exactly; [17] the theoretical prediction, equation (19), is made by an expansion on the small particle radius. Triangles, squares, and circles correspond to vesicle to particle dimension ratio, y = 21.5, 36.8, and 46.4, respectively.…”