Simulation of single-species bacterial-biofilm growth using the Glazier-Graner-Hogeweg model and the CompuCell3D modeling environment
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Biocomplexity Institute and Department of Physics, Indiana University, Swain Hall West, 727 East Third Street, Bloomington, IN 47405-7105
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Received:
01 April 2007
Accepted:
29 June 2018
Published:
01 March 2008
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MSC :
Primary: 92-08, 92C15; Secondary: 65C05, 68U20.
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The CompuCell3D modeling environment provides a convenient
platform for biofilm simulations using the Glazier-Graner-Hogeweg (GGH)
model, a cell-oriented framework designed to simulate growth and pattern
formation due to biological cells' behaviors. We show how to develop such
a simulation, based on the hybrid (continuum-discrete) model of Picioreanu,
van Loosdrecht, and Heijnen (PLH), simulate the growth of a single-species
bacterial biofilm, and study the roles of cell-cell and cell-field interactions in
determining biofilm morphology. In our simulations, which generalize the PLH
model by treating cells as spatially extended, deformable bodies, differential
adhesion between cells, and their competition for a substrate (nutrient), suffice
to produce a fingering instability that generates the finger shapes of biofilms.
Our results agree with most features of the PLH model, although our inclu-
sion of cell adhesion, which is difficult to implement using other modeling
approaches, results in slightly different patterns. Our simulations thus pro-
vide the groundwork for simulations of medically and industrially important
multispecies biofilms.
Citation: Nikodem J. Poplawski, Abbas Shirinifard, Maciej Swat, James A. Glazier. Simulation of single-species bacterial-biofilm growth using the Glazier-Graner-Hogeweg model and the CompuCell3D modeling environment[J]. Mathematical Biosciences and Engineering, 2008, 5(2): 355-388. doi: 10.3934/mbe.2008.5.355
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Abstract
The CompuCell3D modeling environment provides a convenient
platform for biofilm simulations using the Glazier-Graner-Hogeweg (GGH)
model, a cell-oriented framework designed to simulate growth and pattern
formation due to biological cells' behaviors. We show how to develop such
a simulation, based on the hybrid (continuum-discrete) model of Picioreanu,
van Loosdrecht, and Heijnen (PLH), simulate the growth of a single-species
bacterial biofilm, and study the roles of cell-cell and cell-field interactions in
determining biofilm morphology. In our simulations, which generalize the PLH
model by treating cells as spatially extended, deformable bodies, differential
adhesion between cells, and their competition for a substrate (nutrient), suffice
to produce a fingering instability that generates the finger shapes of biofilms.
Our results agree with most features of the PLH model, although our inclu-
sion of cell adhesion, which is difficult to implement using other modeling
approaches, results in slightly different patterns. Our simulations thus pro-
vide the groundwork for simulations of medically and industrially important
multispecies biofilms.
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