### Abstract

Over the past 2 decades, many different geometric models were created for beta barrels, including, but not limited to: cylinders, 1-sheeted hyperboloids, twisted hyperboloids, catenoids, and so forth. We are proponents of an elastic surface model for beta-barrels, which includes the minimal surface model as a particular case, but is a lot more comprehensive. Beta barrel models are obtained as numerical solutions of a boundary value problem, using the COMSOL Multiphysics Modeling Software. We have compared them against the best fitting statistical models, with positive results. The geometry of each individual beta barrel, as a rotational elastic surface, is determined by the ratio between the exterior diameter and the height. Through our COMSOL computational modeling, we created a rather large variety of generalized Willmore surfaces that may represent models for beta barrels. The catenoid is just a particular solution among all these shapes.

Original language | English |
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Pages (from-to) | 35-42 |

Number of pages | 8 |

Journal | Proteins: Structure, Function and Bioinformatics |

Volume | 86 |

Issue number | 1 |

DOIs | |

State | Published - Jan 2018 |

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### Keywords

- beta barrel
- generalized Willmore energy
- mean curvature
- minimal surface
- protein structure

### Cite this

*Proteins: Structure, Function and Bioinformatics*,

*86*(1), 35-42. https://doi.org/10.1002/prot.25400