About the Authors

Chu-Wen Yang

Affiliation Department of Microbiology, Soochow University, Shih-Lin, Taipei, Taiwan, Republic of China

Sy-Mien Chen

smchen@mail.fju.edu.tw

Affiliation Department of Mathematics, Fu Jen Catholic University, Xinzhuang, New Taipei City, Taiwan, Republic of China

Competing Interests

The authors have declared that no competing interests exist.

Author Contributions

Conceived and designed the experiments: CWY SMC. Performed the experiments: CWY. Analyzed the data: CWY SMC. Wrote the paper: CWY SMC.