Beta barrels represent a collection of beta sheets, which can be mathematically approximated by a smooth surface with a cylindrical-type topology. Many different geometric models were proposed for beta barrels, including, but not limited to: cylinders, 1-sheeted hyperboloids, twisted hyperboloids, and catenoids. We proposed an elastic surface model for beta barrels, which was previously published in 2017, in PROTEINS: https://doi.org/10.1002/prot.25400. The present communication continues that study, with recent developments on combined geometric, computational and statistical models that verify and prove our elastic model theory for secondary structures in proteins. Beta barrel models were obtained as numerical solutions of a physical boundary value problem, using the COMSOL Multiphysics Modeling Software. Our model was confirmed from mathematical, computational and statistical viewpoints.