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VOL. 16 | 2015 Geometric Models for Secondary Structures in Proteins
Magdalena Toda, Bhagya Athukorallage

Editor(s) Ivaïlo M. Mladenov, Andrei Ludu, Akira Yoshioka

Abstract

This research is motivated by a study of special types of surfaces of revolution, using methods from differential geometry, elasticity theory and variational calculus. In particular, we present an elastic membrane model for the beta barrels in protein biology, via a certain Generalized Willmore type energy functional. We study the corresponding Euler--Lagrange equation, as well as a specific boundary value problem whose solutions are Generalized Willmore surfaces of revolution. We study the corresponding solutions both theoretically and numerically.

Information

Published: 1 January 2015
First available in Project Euclid: 13 July 2015

zbMATH: 1361.53005
MathSciNet: MR3363852

Digital Object Identifier: 10.7546/giq-16-2015-282-300

Rights: Copyright © 2015 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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