HNPP: Higher-order network-based personalized PageRank for detecting critical phase in complex biological systems

• Jiayuan Zhong ,

  Contributed equally to this work with: Jiayuan Zhong, Xuerong Gu, Dandan Ding

  Roles Conceptualization, Data curation, Formal analysis, Funding acquisition, Methodology, Software, Validation, Writing – original draft, Writing – review & editing

  Affiliation School of Mathematics, Foshan University, Foshan, China

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• Xuerong Gu ,

  Contributed equally to this work with: Jiayuan Zhong, Xuerong Gu, Dandan Ding

  Roles Conceptualization, Data curation, Formal analysis, Investigation, Software, Validation, Visualization, Writing – original draft, Writing – review & editing

  Affiliation School of Biology and Biological Engineering, South China University of Technology, Guangzhou, China

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• Dandan Ding ,

  Contributed equally to this work with: Jiayuan Zhong, Xuerong Gu, Dandan Ding

  Roles Conceptualization, Data curation, Formal analysis, Investigation, Software, Visualization, Writing – original draft, Writing – review & editing

  Affiliation Department of Nephrology, The Third Affiliated Hospital, School of Medicine, Foshan University, Foshan, China

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• Qiao Wei,

  Roles Formal analysis, Methodology, Software, Writing – original draft, Writing – review & editing

  Affiliation School of Mathematics, South China University of Technology, Guangzhou, China

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• Bowen Niu,

  Roles Formal analysis, Funding acquisition, Software, Validation, Visualization, Writing – original draft, Writing – review & editing

  Affiliation School of Mathematics, South China University of Technology, Guangzhou, China

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• Ting Tao,

  Roles Funding acquisition, Investigation, Methodology, Validation, Writing – original draft, Writing – review & editing

  Affiliation School of Mathematics, Foshan University, Foshan, China

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• Pei Chen ,

  Roles Conceptualization, Data curation, Funding acquisition, Methodology, Project administration, Resources, Validation, Writing – original draft, Writing – review & editing

  * E-mail: chenpei@scut.edu.cn (PC); scliurui@scut.edu.cn (RL)

  Affiliation School of Mathematics, South China University of Technology, Guangzhou, China

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• Rui Liu

  Roles Conceptualization, Data curation, Funding acquisition, Methodology, Project administration, Resources, Supervision, Writing – original draft, Writing – review & editing

  * E-mail: chenpei@scut.edu.cn (PC); scliurui@scut.edu.cn (RL)

  Affiliation School of Mathematics, South China University of Technology, Guangzhou, China

  https://orcid.org/0000-0002-4547-8695

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