Proceedings of the International Conference on Geometry, Integrability and Quantization

Geometric Models for Secondary Structures in Proteins

Magdalena Toda and Bhagya Athukorallage

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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.

Article information

Source
Proceedings of the Sixteenth International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov, Andrei Ludu and Akira Yoshioka, eds. (Sofia: Avangard Prima, 2015), 282-300

Dates
First available in Project Euclid: 13 July 2015

Permanent link to this document
https://projecteuclid.org/ euclid.pgiq/1436815751

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

Mathematical Reviews number (MathSciNet)
MR3363852

Zentralblatt MATH identifier
1361.53005

Citation

Toda, Magdalena; Athukorallage, Bhagya. Geometric Models for Secondary Structures in Proteins. Proceedings of the Sixteenth International Conference on Geometry, Integrability and Quantization, 282--300, Avangard Prima, Sofia, Bulgaria, 2015. doi:10.7546/giq-16-2015-282-300. https://projecteuclid.org/euclid.pgiq/1436815751


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