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dc.contributor.authorKlapper, Isaac
dc.contributor.authorSzomolay, Barbara
dc.date.accessioned2017-02-13T16:25:44Z
dc.date.available2017-02-13T16:25:44Z
dc.date.issued2011-01
dc.identifier.citationKlapper I, Szomolay B, "An exclusion principle and the importance of mobility for a class of biofilm models," Bulletin of Mathematical Biology 2011 73(9):2213–2230en_US
dc.identifier.issn0092-8240
dc.identifier.urihttps://scholarworks.montana.edu/xmlui/handle/1/12592
dc.description.abstractMuch of the earth’s microbial biomass resides in sessile, spatially structured communities such as biofilms and microbial mats, systems consisting of large numbers of single-celled organisms living within self-secreted matrices made of polymers and other molecules. As a result of their spatial structure, these communities differ in important ways from well-mixed (and well-studied) microbial systems such as those present in chemostats. Here we consider a widely used class of 1D biofilm models in the context of a description of their basic ecology. It will be shown via an exclusion principle resulting from competition for space that these models lead to restrictions on ecological structure. Mathematically, this result follows from a classification of steady-state solutions based on a 0-stability condition: 0-stable solutions are in some sense determined by competitive balance at the biofilm base, whereas solutions that are not 0-stable, while less dependent on conditions at the biofilm base, are unstable at the base. As a result of the exclusion principle, it is argued that some form of downward mobility, against the favorable substrate gradient direction, is needed at least in models and possibly in actuality.en_US
dc.titleAn exclusion principle and the importance of mobility for a class of biofilm modelsen_US
dc.typeArticleen_US
mus.citation.extentfirstpage2213en_US
mus.citation.extentlastpage2230en_US
mus.citation.issue9en_US
mus.citation.journaltitleBulletin of Mathematical Biologyen_US
mus.citation.volume73en_US
mus.identifier.categoryChemical & Material Sciencesen_US
mus.identifier.categoryEngineering & Computer Scienceen_US
mus.identifier.categoryLife Sciences & Earth Sciencesen_US
mus.identifier.categoryPhysics & Mathematicsen_US
mus.identifier.doi10.1007/s11538-010-9621-5en_US
mus.relation.collegeCollege of Agricultureen_US
mus.relation.collegeCollege of Engineeringen_US
mus.relation.collegeCollege of Letters & Scienceen_US
mus.relation.departmentCell Biology & Neuroscience.en_US
mus.relation.departmentCenter for Biofilm Engineering.en_US
mus.relation.departmentChemical & Biological Engineering.en_US
mus.relation.departmentChemical Engineering.en_US
mus.relation.departmentChemistry & Biochemistry.en_US
mus.relation.departmentMathematical Sciences.en_US
mus.relation.departmentMicrobiology & Immunology.en_US
mus.relation.universityMontana State University - Bozemanen_US
mus.relation.researchgroupCenter for Biofilm Engineering.en_US
mus.data.thumbpage7en_US


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