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dc.contributor.authorZhang, Tian-Yu
dc.identifier.citationZhang T, "Modeling of biocide action against biofilm," Bulletin of Mathematical Biology, February 2012 74(6):1427–1447en_US
dc.description.abstractWe consider the mathematical model of dynamic antimicrobial action against bacterial biofilms. A mixture model is used in which the biofilm consisting of live and dead bacteria is modeled as one fluid component, while the solvent containing biocide is modeled as the other, and each component is represented by its volume fraction. The whole system is assumed to be an incompressible fluid and the velocity is governed by the Navier–Stokes equation. Biocide kills the live bacteria and its transport is governed by an advection–reaction–diffusion equation. Certain biocide also weakens the mechanical cohesiveness of the biofilm and results in biofilm removal under the shear stress of the external flow. Spatial and temporal patterns of antimicrobial action of three different biocides are considered and numerical simulation results by finite difference method are presented.en_US
dc.titleModeling of biocide action against biofilmen_US
mus.citation.journaltitleBulletin of Mathematical Biologyen_US
mus.identifier.categoryChemical & Material Sciencesen_US
mus.identifier.categoryEngineering & Computer Scienceen_US
mus.identifier.categoryLife Sciences & Earth Sciencesen_US
mus.relation.collegeCollege of Engineeringen_US
mus.relation.collegeCollege of Letters & Scienceen_US
mus.relation.departmentCenter for Biofilm Engineering.en_US
mus.relation.departmentChemical & Biological Engineering.en_US
mus.relation.departmentChemistry & Biochemistry.en_US
mus.relation.departmentMathematical Sciences.en_US
mus.relation.universityMontana State University - Bozemanen_US
mus.relation.researchgroupCenter for Biofilm Engineering.en_US

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