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dc.contributor.authorAlpkvist, Erik
dc.contributor.authorKlapper, Isaac
dc.date.accessioned2017-07-13T18:30:53Z
dc.date.available2017-07-13T18:30:53Z
dc.date.issued2007-01
dc.identifier.citationAlpkvist E, Klapper I, "A multidimensional multispecies continuum model for heterogeneous biofilm development," Bull Math Biol 2007 69(2):765-789en_US
dc.identifier.issn0092-8240
dc.identifier.urihttps://scholarworks.montana.edu/xmlui/handle/1/13263
dc.description.abstractWe propose a multidimensional continuum model for heterogeneous growth of biofilm systems with multiple species and multiple substrates. The new model provides a deterministic framework for the study of the interactions between several species and their effects on biofilm heterogeneity. It consists of a system of partial differential equations derived on the basis of conservation laws and reaction kinetics. The derivation and key assumptions are presented. The assumptions used are a combination of those used in the established one dimensional model, due to Wanner and Gujer, and for the viscous fluid model, of Dockery and Klapper. The work of Wanner and Gujer in particular has been extensively used through the years, and thus this new model is an extension to several spatial dimensions of an already proven working model. The model equations are solved using numerical techniques, for purposes of simulation and verification. The new model is applied to two different biofilm systems in several spatial dimensions, one of which is equivalent to a system originally studied by Wanner and Gujer. Dimensionless formulations for these two systems are given, and numerical simulation results with varying initial conditions are presented.en_US
dc.titleA multidimensional multispecies continuum model for heterogeneous biofilm developmenten_US
dc.typeArticleen_US
mus.citation.extentfirstpage765en_US
mus.citation.extentlastpage789en_US
mus.citation.issue2en_US
mus.citation.journaltitleBulletin of Mathematical Biologyen_US
mus.citation.volume69en_US
mus.identifier.categoryEngineering & Computer Scienceen_US
mus.identifier.doi10.1007/s11538-007-9212-2en_US
mus.relation.collegeCollege of Engineeringen_US
mus.relation.departmentCenter for Biofilm Engineering.en_US
mus.relation.departmentChemical & Biological Engineering.en_US
mus.relation.departmentChemical Engineering.en_US
mus.relation.universityMontana State University - Bozemanen_US
mus.relation.researchgroupCenter for Biofilm Engineering.en_US
mus.data.thumbpage784en_US


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