About the Authors

Yuning Hao

Roles Data curation, Formal analysis, Investigation, Methodology, Software, Validation, Visualization, Writing – original draft

Affiliations Department of Statistics and Probability, Michigan State University, East Lansing, United States of America, Department of Computational Mathematics, Science and Engineering, Michigan State University, East Lansing, United States of America

Ming Yan

Roles Conceptualization, Methodology, Writing – review & editing

Affiliations Department of Computational Mathematics, Science and Engineering, Michigan State University, East Lansing, United States of America, Department of Mathematics, Michigan State University, East Lansing, United States of America

Blake R. Heath

Roles Data curation

Affiliation Department of Periodontics and Oral Medicine, University of Michigan School of Dentistry Ann Arbor, United States of America

Yu L. Lei

Roles Conceptualization, Funding acquisition, Methodology, Project administration, Resources, Writing – review & editing

leiyuleo@umich.edu (YLL); xyy@msu.edu (YX)

Affiliations Department of Periodontics and Oral Medicine, University of Michigan School of Dentistry Ann Arbor, United States of America, University of Michigan Rogel Cancer Center, Ann Arbor, United States of America

Yuying Xie

Roles Conceptualization, Funding acquisition, Investigation, Methodology, Project administration, Resources, Supervision, Writing – review & editing

leiyuleo@umich.edu (YLL); xyy@msu.edu (YX)

Affiliations Department of Statistics and Probability, Michigan State University, East Lansing, United States of America, Department of Computational Mathematics, Science and Engineering, Michigan State University, East Lansing, United States of America

Competing Interests

The authors have declared that no competing interests exist.