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. 2020 Sep 24;10:15623. doi: 10.1038/s41598-020-72492-8

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© The Author(s) 2020

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 licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence 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 licence, visit http://creativecommons.org/licenses/by/4.0/.

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Comparisons between the true values of [NAD⁺], [NADH] and their ratio (RR) in the phantom and those experimentally measured by ³¹P MRS with least square fitting (blue rounds and lines) and the LCModel (red triangles and dots). The linear slope (s) and regression coefficient (R²) were 0.94 and 0.98 for NAD⁺ with least square fit and 0.90 and 0.97 with LCModel; 1.12 and 1.00 for NADH with least square fit and 0.96 and 1.00 for NADH with LCModel; 1.12 and 1.00 for RR with least square fit, and 0.99 and 0.98 with LCModel, respectively.