Biofilms are thin layers of microorganisms in which cells adhere to each other and stick to a surface. They are resistant to
antibiotics and disinfectants due to the protection from extracellular polymeric substance (EPS), which is a gel like self-produced matrix,
consists of polysaccharide, proteins and nucleic acids. Biofilms play significant roles in many applications. In this document, we provide
analysis about effects and influences of biofilms in microfiltration and dental plaque removing process. Differential equations are used for
modelling the microfiltration process and the optimal control method is applied to analyze the efficiency of the filtration. The multiphase
fluid system is introduced to describe the dental plaque removing process and results are obtained by numerical schemes. / A Dissertation submitted to the Department of Mathematics in partial fulfillment of the requirements for the
degree of Doctor of Philosophy. / Fall Semester 2017. / October 27, 2017. / Includes bibliographical references. / Nick Cogan, Professor Directing Dissertation; Eric Chicken, University Representative; Kyle A. Gallivan,
Committee Member; Monica K. Hurdal, Committee Member.
| Identifer | oai:union.ndltd.org:fsu.edu/oai:fsu.digital.flvc.org:fsu_604983 |
| Contributors | Li, Jian (author), Cogan, Nicholas G. (professor directing dissertation), Chicken, Eric, 1963- (university representative), Gallivan, Kyle A., 1958- (committee member), Hurdal, Monica K. (committee member), Florida State University (degree granting institution), College of Arts and Sciences (degree granting college), Department of Mathematics (degree granting departmentdgg) |
| Publisher | Florida State University |
| Source Sets | Florida State University |
| Language | English, English |
| Detected Language | English |
| Type | Text, text, doctoral thesis |
| Format | 1 online resource (111 pages), computer, application/pdf |
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