About the Authors

Xingyu Zhang

Affiliation Department of Medical Statistics, West China School of Public Health, Sichuan University, Chengdu, Sichuan, P.R. China

Yuanyuan Liu

Affiliation Department of Medical Statistics, West China School of Public Health, Sichuan University, Chengdu, Sichuan, P.R. China

Min Yang

Affiliation Division of Psychiatry, School for Community Health Sciences, University of Nottingham, Nottingham, United Kingdom

Tao Zhang

Affiliation Department of Medical Statistics, West China School of Public Health, Sichuan University, Chengdu, Sichuan, P.R. China

Alistair A. Young

Affiliation Department of Anatomy with Radiology, University of Auckland, Auckland, New Zealand

Xiaosong Li

lixiaosong1101@126.com

Affiliation Department of Medical Statistics, West China School of Public Health, Sichuan University, Chengdu, Sichuan, P.R. China

Competing Interests

The authors have declared that no competing interests exist.

Author Contributions

Conceived and designed the experiments: XZ MY TZ YL. Performed the experiments: XZ YL. Analyzed the data: XZ YL. Contributed reagents/materials/analysis tools: XL. Wrote the paper: XZ YL MY TZ XL. Revised and polished the manuscript: AY.