GEORGE MASON UNIVERSITY
DEPARTMENT OF MATHEMATICAL SCIENCES
APPLIED AND COMPUTATIONAL MATHEMATICS SEMINAR


Speaker: Tianyu Zhang, Mathematics, Florida State University
Title: Phase-Field Models for Biofilm Growth, Expansion, and Biofilm-Flow Interaction

Abstract: We derive a set of phase field models for biofilms using the one-fluid two-component formulation in which the combination of extracellular polymeric substances (EPS) and the bacteria are effectively modeled as one fluid component while the collective ensemble of nutrient and the solvent are modeled as the other. The biofilm is assumed an incompressible continuum. Two growth modes are identified in linearized analysis. Numerical simulations are carried out in one and two space dimension using a velocity-corrected projection method for incompressible flows. Biofilm growth, expansion, streaming, rippling, and detachment are simulated in shear cells numerically. Viscoelastic properties of the biofilm is investigated as well.

Time: Friday, March 7, 2008, 1:30-2:30 p.m.

Place: Research I, Room 301


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