About the Authors

Guangxu Jin

Affiliations Academy of Mathematics and Systems Science, Chinese Academy of Science, Beijing, China, Graduate University of Chinese Academy of Sciences, Beijing, China

Shihua Zhang

Affiliations Academy of Mathematics and Systems Science, Chinese Academy of Science, Beijing, China, Graduate University of Chinese Academy of Sciences, Beijing, China

Xiang-Sun Zhang

To whom correspondence should be addressed. E-mail: zxs@amt.ac.cn (XZ); chen@eic.osaka-sandai.ac.jp (LC)

Affiliation Academy of Mathematics and Systems Science, Chinese Academy of Science, Beijing, China

Luonan Chen

To whom correspondence should be addressed. E-mail: zxs@amt.ac.cn (XZ); chen@eic.osaka-sandai.ac.jp (LC)

Affiliations Institute of Systems Biology, Shanghai University, Shanghai, China, Department of Electrical Engineering and Electronics, Osaka Sangyo University, Osaka, Japan, Exploratory Research for Advanced Technology (ERATO) Aihara Complexity Modelling Project, Japan Science and Technology Corporation (JST), Tokyo, Japan, Institute of Industrial Science, The University of Tokyo, Tokyo, Japan

Competing Interests

The authors have declared that no competing interests exist.

Author Contributions

Conceived and designed the experiments: GJ. Performed the experiments: GJ. Analyzed the data: SZ GJ. Contributed reagents/materials/analysis tools: SZ GJ. Wrote the paper: XZ SZ LC GJ. Other: Supervised whole project: LC XZ.