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. 2023 Jan 28;13:1613. doi: 10.1038/s41598-023-28643-8

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© The Author(s) 2023

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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Simulation results demonstrating relative model stability down to SNR of 15 for all parameters. T₁pyruvate, k_PL, flip angle, and B₁ error are assumed to be 35 s, 0/s, 10°, and a factor of 1, respectively.