Updates are available Correction dated 2025-05-15
Click to view Correction: https://doi.org/10.1038/s41598-025-95353-8
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Authors
Tian, Zhongxi
Zhang, Zhiyu
Zhang, Guangzhan
Shan, Xiangjun
Liu, Wanrong
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Funding
Funding for this research was provided by:
the Research Fund of Liaocheng University (No.318011901,318051848)
Liaocheng University Graduate Education Quality Curriculum Construction Project
National Natural Science Foundation of China (No. 52204093)
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More Information
Article History
Received: 12 October 2024
Accepted: 18 December 2024
First Online: 8 February 2025
Change Date: 15 May 2025
Change Type: Correction
Change Details: A Correction to this paper has been published:
Change Details: https://doi.org/10.1038/s41598-025-95353-8
Declarations
:
: The authors declare no competing interests.
