1. Date of download: 6/26/2016 Copyright © ASME. All rights reserved. From: Mechanics of Curved Plasma Membrane Vesicles: Resting Shapes, Membrane Curvature, and In-Plane Shear Elasticity J Biomech Eng. 2004;127(2):229-236. doi:10.1115/1.1865197 Coordinate system and parameters defined on the unstressed initial cross section of an axisymmetric vesicle system composed with three membrane domains; an inner spherical domain, an outer partially spherical domain, and an outermost flat circular domain. Figure Legend:

2. Date of download: 6/26/2016 Copyright © ASME. All rights reserved. From: Mechanics of Curved Plasma Membrane Vesicles: Resting Shapes, Membrane Curvature, and In-Plane Shear Elasticity J Biomech Eng. 2004;127(2):229-236. doi:10.1115/1.1865197 Control structures of Runge-Kutta numerical integration with respect to A (total surface area) for the governing Eqs. in 0 ≦ A ≦ At Figure Legend:

3. Date of download: 6/26/2016 Copyright © ASME. All rights reserved. From: Mechanics of Curved Plasma Membrane Vesicles: Resting Shapes, Membrane Curvature, and In-Plane Shear Elasticity J Biomech Eng. 2004;127(2):229-236. doi:10.1115/1.1865197 Two-dimensional membrane contours with upper outer perimeter rt set around 4.4rI in the case of spontaneous radii ratio n(=rO∕rI)=6, 10, 100, ∞, and shear modulus μ=0.66×10−2dyn∕cm. The position of the upper vesicle perimeter is intentionally aligned along the x-axis (z=0). The figure shows the right side of each cross section, and the initial shape is also shown by the broken line. Figure Legend:

4. Date of download: 6/26/2016 Copyright © ASME. All rights reserved. From: Mechanics of Curved Plasma Membrane Vesicles: Resting Shapes, Membrane Curvature, and In-Plane Shear Elasticity J Biomech Eng. 2004;127(2):229-236. doi:10.1115/1.1865197 Relationships between nondimensional opening radius and strain energy in the case of spontaneous radii ratio n(=rO∕rI)=6, 10, 100, ∞, and shear modulus μ=0.66×10−2dyn∕cm. Numbers along with n=10 correspond to the configuration numbers in Fig. 5. Figure Legend:

5. Date of download: 6/26/2016 Copyright © ASME. All rights reserved. From: Mechanics of Curved Plasma Membrane Vesicles: Resting Shapes, Membrane Curvature, and In-Plane Shear Elasticity J Biomech Eng. 2004;127(2):229-236. doi:10.1115/1.1865197 (Color). Three-dimensional membrane contours of the computed equilibrium configurations in the case of spontaneous radii ratio n=10 and shear modulus μ=0.66×10−2dyn∕cm. They were drawn by using Mathematica. The meshes in the figure were automatically generated by Mathematica so as to show three-dimensional images effectively. Figure Legend:

6. Date of download: 6/26/2016 Copyright © ASME. All rights reserved. From: Mechanics of Curved Plasma Membrane Vesicles: Resting Shapes, Membrane Curvature, and In-Plane Shear Elasticity J Biomech Eng. 2004;127(2):229-236. doi:10.1115/1.1865197 Relationships between nondimensional opening radius and radial tension acting at rt in the case of spontaneous radii ratio n(=rO∕rI)=6, 10, 100, ∞, and shear modulus μ=0.66×10−2dyn∕cm. Numbers along with n=10 correspond to the configuration numbers in Figs.. Figure Legend:

7. Date of download: 6/26/2016 Copyright © ASME. All rights reserved. From: Mechanics of Curved Plasma Membrane Vesicles: Resting Shapes, Membrane Curvature, and In-Plane Shear Elasticity J Biomech Eng. 2004;127(2):229-236. doi:10.1115/1.1865197 Two-dimensional membrane contours of equilibrium shape of the vesicle system with various opening radii rt in the case of shear modulus μ=(0,0.33,0.66)×10−2dyn∕cm and spontaneous radii ratio n=6. The black circle on the line denotes the boundary between the outer membrane domains (dotted line) and the inner vesicle domain (solid line). Figure Legend:

8. Date of download: 6/26/2016 Copyright © ASME. All rights reserved. From: Mechanics of Curved Plasma Membrane Vesicles: Resting Shapes, Membrane Curvature, and In-Plane Shear Elasticity J Biomech Eng. 2004;127(2):229-236. doi:10.1115/1.1865197 Magnified two-dimensional membrane contours of equilibrium shape of the vesicle system selected from Fig. where the neck portion suddenly disappears while unfolding the vesicle. Significant effects of the shear modulus μ on the equilibrium shapes are observed. Figure Legend:

9. Date of download: 6/26/2016 Copyright © ASME. All rights reserved. From: Mechanics of Curved Plasma Membrane Vesicles: Resting Shapes, Membrane Curvature, and In-Plane Shear Elasticity J Biomech Eng. 2004;127(2):229-236. doi:10.1115/1.1865197 Comparison between the computed shapes of the vesicle [in case of shear modulus μ=(0,0.33,0.66)×10−2dyn∕cm and spontaneous radii ratio n=30] and a trace picked out from electron micrograph published by Palade and Bruns (, Fig. 18) in capillary endothelium of the rat tongue. Figure Legend: