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dc.contributor.advisorChairperson, Graduate Committee: Isaac Klapper.en
dc.contributor.authorSzomolay, Barbara.en
dc.date.accessioned2013-06-25T18:43:01Z
dc.date.available2013-06-25T18:43:01Z
dc.date.issued2006en
dc.identifier.urihttps://scholarworks.montana.edu/xmlui/handle/1/2387
dc.description.abstractThe goal of this dissertation is to study a complex biofilm model with a phenotypic structure presented in [34]. The model in [34] is extended - growth and detachment is added, making the new model more interesting in applications. The crucial feature of our model is that cells are able to enter an adapted resistant state when challenged with antimicrobials (adaptation). We study this model in both a qualitative and quantitative manner. Existence and uniqueness of solutions is shown as well as the existence and non-uniqueness of steady-state solutions. Another question of interest is the effective dosing of biocide, i.e. exploring dosing strategies that could minimize the number of living cells or biofilm thickness. Constant and periodic dosing regimes are modeled numerically and studied analytically. One of our main results is that on and off dosing is significantly better than the other dosing types. The model presented in this dissertation contributes to a better understanding of one of the resistant mechanisms in biofilms.en
dc.language.isoengen
dc.publisherMontana State University - Bozeman, College of Letters & Scienceen
dc.subject.lcshBiofilms.en
dc.subject.lcshDisinfection and disinfectants Research.en
dc.titleAnalysis and control of a biofilm disinfection model
dc.typeDissertation
dc.rights.holderCopyright Barbara Szomolay 2006en
thesis.catalog.ckey1292539en
thesis.degree.committeemembersMembers, Graduate Committee: Jack Dockery; Phil Stewart; Tomas Gedeon; Curtus R. Vogel; John Marshen
thesis.degree.departmentMathematical Sciences.en
thesis.degree.genreDissertationen
thesis.degree.namePhDen
thesis.format.extentfirstpage1en
thesis.format.extentlastpage192en
mus.identifier.categoryPhysics & Mathematics
mus.relation.departmentMathematical Sciences.en_US
mus.relation.universityMontana State University - Bozemanen_US


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