About the Authors

Jianfeng Zhu

Affiliation Department of Mathematics, University of Notre Dame, Notre Dame, Indiana, United States of America

Yong-Tao Zhang

Affiliation Department of Mathematics, University of Notre Dame, Notre Dame, Indiana, United States of America

Mark S. Alber

Affiliations Department of Mathematics, University of Notre Dame, Notre Dame, Indiana, United States of America, Center for the Study of Biocomplexity, University of Notre Dame, Notre Dame, Indiana, United States of America

Stuart A. Newman

newman@nymc.edu

Affiliation Department of Cell Biology and Anatomy, New York Medical College, Valhalla, New York, United States of America

Competing Interests

The authors have declared that no competing interests exist.

Author Contributions

Conceived and designed the experiments: JZ YTZ MSA SAN. Performed the experiments: JZ YTZ. Analyzed the data: MSA SAN. Wrote the paper: YTZ MSA SAN.