Aim: To assess and compare the changes in shape of encapsulated biconvex structures undergoing equatorial traction with those changes reported in the human lens during accommodation. Methods: Equatorial traction was applied to several different biconvex structures: air, water, and gel filled mylar and rubber balloons and spherical vesicles. In the vesicles, traction was applied externally, using optical tweezers, or from within, by the assembly of encapsulated microtubules. The shape changes were recorded photographically and the change in central radius of curvature of water filled mylar balloons was quantified. Results: Whenever an outward equatorial force was applied to the long axis of long oval biconvex objects, where the minor to major axis ratio was (0.6, the central surfaces steepened and the peripheral surfaces flattened. Similar changes in the shape of the lens have been reported during human in vivo accommodation. Conclusions: All biconvex structures that have been studied demonstrate similar shape changes in response to equatorial traction. This effect is independent of capsular thickness. The consistent observation of this physical change in the configuration of biconvex structures in response to outward equatorial force suggests that this may be a universal response of biconvex structures, also applicable to the human lens undergoing accommodation.T he mechanism of accommodation has been studied for over 400 years.1-16 Accommodation results from a change in the shape of the crystalline lens.1 The lens is an encapsulated biconvex object. This change in shape of the lens occurs as a result of the force of ciliary muscle contraction transmitted circumferentially to the equatorial capsular edge of the lens by the zonules.The widely accepted Helmholtz theory 2 states that during ciliary muscle contraction the tension on the zonules is reduced, allowing the lens to become rounder and to increase in central optical power. This theory was founded, in part, on an intuitive belief that the application of equatorial tension to the lens will flatten both its central and its peripheral surfaces.As the lens is an encapsulated biconvex object, we tested this assumption by recording the cross sectional profiles of other encapsulated biconvex objects in response to equatorial tension.
METHODS BalloonsBiconvex 9 inch mylar balloons with a wall thickness of 0.020 mm, and biconvex 8 inch rubber balloons, with wall thickness of 0.350 mm, were filled with either air, water, or gelatin. When filled, the balloons had a long oval profile, 17 with minor and major axes of ,175 mm and ,100 mm, respectively. The elastic moduli of rubber and mylar are 4 MPa and 3 GPa, respectively.Each balloon was placed horizontally on an optical bench so that its equatorial plane was parallel to the bench. A circular ring light was centred above the balloon. The surface of the rubber balloon was made reflective by applying mineral oil. The changes in the reflection of the ring light from the surface of the balloon were videographed while equa...