About the Authors

Hwi Young Kim

Affiliations Department of Internal Medicine and Liver Research Institute, Seoul National University College of Medicine, Seoul, Republic of Korea, Division of Gastroenterology and Hepatology, Seoul National University Boramae Medical Center, Seoul, Republic of Korea

Hee-Dae Kwon

Affiliation Department of Mathematics, Inha University, Incheon, Republic of Korea

Tae Soo Jang

Affiliation Department of Mathematics, Inha University, Incheon, Republic of Korea

Jisun Lim

Affiliation Department of Mathematics, Inha University, Incheon, Republic of Korea

Hyo-Suk Lee

hsleemd@snu.ac.kr

Affiliation Department of Internal Medicine and Liver Research Institute, Seoul National University College of Medicine, Seoul, Republic of Korea

Competing Interests

The authors have declared that no competing interests exist.

Author Contributions

Conceived and designed the experiments: HYK HDK HSL. Performed the experiments: HYK HDK TSJ JL. Analyzed the data: HYK HDK TSJ JL HSL. Contributed reagents/materials/analysis tools: HDK TSJ JL. Wrote the paper: HYK HDK HSL.