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. 2017 Sep 22;7:12152. doi: 10.1038/s41598-017-12127-7

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© The Author(s) 2017

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

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(A) Dependence of the pore energy on its radius for DOPC (red curve), POPC (black curve) and DMPC (green curve) membranes. Vertical dashed lines indicate the radius of a metastable pore for each membrane; the dashed lines correspond to those in Fig. 2B. (B) Dependence of the line tension on pore radius for DOPC (red curve), POPC (black curve) and DMPC (green curve) membranes. The dependencies were obtained by dividing corresponding W(r) from panel A by the pore perimeter, 2πr. Dashed horizontal lines correspond to asymptotic values of line tension γ ₀ at large (infinite) pore radius. (C) Dependencies of the pore energy on its radius for DOPC membrane for various experimentally determined sets of elastic parameters, built taking into account the confidence interval of the elastic parameters. (D) Dependencies of the line tension on the pore radius for DOPC membrane, obtained by dividing the energy W(r) (from panel C) by the pore perimeter, 2πr. Dashed horizontal lines correspond to minimal and maximal asymptotic values of line tension γ ₀ at large (infinite) pore radius.