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. 2021 Feb 12;11:3742. doi: 10.1038/s41598-021-83233-w

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© The Author(s) 2021

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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Mean curves of the COM–COP inclination angles (IA) and their rates of change (RCIA) in the sagittal (a,c) and frontal (b,d) planes for the knee osteoarthritis group and the control group during level walking. Gait events, namely heel-strike (HS), contralateral toe-off (CTO), contralateral heel-strike (CHS) and toe-off (TO), are indicated by vertical lines. Positive sagittal and frontal IA indicate COM positions that are anterior and contralateral to the COP, respectively. Positive sagittal and frontal RCIA indicate rates of anterior changes and contralateral changes in the corresponding IA, respectively.