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

Department of Mathematical Sciences

George Mason University

4400 University Drive, MS 3F2

Fairfax, VA 22030-4444

http://math.gmu.edu/

Tel. 703-993-1460, Fax. 703-993-1491