EXACT SCALING BEHAVIOR OF PARTIALLY CONVEX VESICLES

We solve analytically for the perimeter-area generating functions for two models of vesicles. While from the solution of the first model, st aircase polygons, one can easily extract the asymptotic scaling behavi or, the exact solution of the second, column-convex polygons, is diffi cult to analyze. This leads us to apply a recently developed method fo r deriving the scaling behavior indirectly, utilizing a set of nonline ar differential equations. One result of this work is a nontrivial con firmation of the scaling/universality hypothesis.