About the Authors

Yougan Cheng

Affiliation School of Mathematics, University of Minnesota, Minneapolis, Minnesota, United States of America

Hans Othmer

othmer@umn.edu

Affiliation School of Mathematics, University of Minnesota, Minneapolis, Minnesota, United States of America

Competing Interests

The authors have declared that no competing interests exist.

Author Contributions

Conceived and designed the experiments: YC HO. Performed the experiments: YC. Analyzed the data: YC HO. Contributed reagents/materials/analysis tools: YC HO. Wrote the paper: YC HO.