About the Authors
- Tianyu Zhang
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Affiliation Department of Mathematical Sciences, Montana State University, Bozeman, Montana, United States of America
- Breana Pabst
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Affiliation Department of Chemical and Biological Engineering, Montana State University, Bozeman, Montana, United States of America
- Isaac Klapper
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Affiliation Department of Mathematics, Temple University, Philadelphia, Pennsylvania, United States of America
- Philip S. Stewart
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* E-mail: phils@biofilm.montana.edu
Affiliations Department of Chemical and Biological Engineering, Montana State University, Bozeman, Montana, United States of America, Center for Biofilm Engineering, Montana State University, Bozeman, Montana, United States of America
Competing Interests
The authors have declared that no competing interests exist.
Author Contributions
Conceived and designed the experiments: PS. Performed the experiments: BP. Analyzed the data: PS BP. Contributed reagents/materials/analysis tools: BP. Wrote the paper: TZ PS. Conceived the basic model structure and identified case studies: PS. Formulated the mathematical model: TZ IK PS. Implemented numerical solution of the model case studies: TZ.