About the Authors

Yuanan Diao

Affiliation Department of Mathematics and Statistics, University of North Carolina at Charlotte, Charlotte, North Carolina, United States of America

Victor Rodriguez

Affiliation College of Physicians and Surgeons, Columbia University, New York, New York, United States of America

Michele Klingbeil

Affiliation Department of Microbiology, University of Massachusetts, Amherst, Massachusetts, United States of America

Javier Arsuaga

jarsuaga@ucdavis.edu

Affiliations Department of Mathematics, University of California at Davis, Davis, California, United States of America, Department of Molecular and Cellular Biology, University of California at Davis, Davis, California, United States of America

Competing Interests

The authors have declared that no competing interests exist.

Author Contributions

Analyzed the data: YD MK JA VR. Contributed reagents/materials/analysis tools: YD MK JA. Wrote the paper: YD MK JA. Mathematical model designs: YD JA. Algorithm development: YD JA. Algorithm implementation, data collection and compiling: VR.