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Modeling of the Bacillus subtilis Bacterial Biofilm Growing on an Agar Substrate.

Wang X, Wang G, Hao M - Comput Math Methods Med (2015)

Bottom Line: Bacterial biofilms are organized communities composed of millions of microorganisms that accumulate on almost any kinds of surfaces.Our results show biofilm growth evolution characteristics such as biofilm thickness, active biomass, and nutrient concentration in the agar substrate.We provide an alternative mathematical method to describe other kinds of biofilm growth such as multiple bacterial species biofilm and also biofilm growth on various complex substrates.

View Article: PubMed Central - PubMed

Affiliation: School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, China ; School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138, USA.

ABSTRACT
Bacterial biofilms are organized communities composed of millions of microorganisms that accumulate on almost any kinds of surfaces. In this paper, a biofilm growth model on an agar substrate is developed based on mass conservation principles, Fick's first law, and Monod's kinetic reaction, by considering nutrient diffusion between biofilm and agar substrate. Our results show biofilm growth evolution characteristics such as biofilm thickness, active biomass, and nutrient concentration in the agar substrate. We quantitatively obtain biofilm growth dependence on different parameters. We provide an alternative mathematical method to describe other kinds of biofilm growth such as multiple bacterial species biofilm and also biofilm growth on various complex substrates.

No MeSH data available.


Related in: MedlinePlus

The nutrient concentration in the agar substrate in 10 days for the biofilm growth model. Inset: the nutrient concentration in agar substrate changes with diffusion coefficient D  (L2T−1).
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fig5: The nutrient concentration in the agar substrate in 10 days for the biofilm growth model. Inset: the nutrient concentration in agar substrate changes with diffusion coefficient D  (L2T−1).

Mentions: Nutrient concentration in the agar substrate decreases all the time due to nutrient consumption by biofilm continuous growth and ultimately decreases to zero, as shown in Figure 5. At about 2.5 days, the nutrient concentration in the agar substrate decreases to zero and simultaneously the biofilm thickness increases to a steady-state value due to the nutrient depletion, as shown in Figure 3(a). The rate of nutrient consumption in agar substrate increases with the increase of nutrient diffusion coefficient, as shown in inset of Figure 5.


Modeling of the Bacillus subtilis Bacterial Biofilm Growing on an Agar Substrate.

Wang X, Wang G, Hao M - Comput Math Methods Med (2015)

The nutrient concentration in the agar substrate in 10 days for the biofilm growth model. Inset: the nutrient concentration in agar substrate changes with diffusion coefficient D  (L2T−1).
© Copyright Policy
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4556878&req=5

fig5: The nutrient concentration in the agar substrate in 10 days for the biofilm growth model. Inset: the nutrient concentration in agar substrate changes with diffusion coefficient D  (L2T−1).
Mentions: Nutrient concentration in the agar substrate decreases all the time due to nutrient consumption by biofilm continuous growth and ultimately decreases to zero, as shown in Figure 5. At about 2.5 days, the nutrient concentration in the agar substrate decreases to zero and simultaneously the biofilm thickness increases to a steady-state value due to the nutrient depletion, as shown in Figure 3(a). The rate of nutrient consumption in agar substrate increases with the increase of nutrient diffusion coefficient, as shown in inset of Figure 5.

Bottom Line: Bacterial biofilms are organized communities composed of millions of microorganisms that accumulate on almost any kinds of surfaces.Our results show biofilm growth evolution characteristics such as biofilm thickness, active biomass, and nutrient concentration in the agar substrate.We provide an alternative mathematical method to describe other kinds of biofilm growth such as multiple bacterial species biofilm and also biofilm growth on various complex substrates.

View Article: PubMed Central - PubMed

Affiliation: School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, China ; School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138, USA.

ABSTRACT
Bacterial biofilms are organized communities composed of millions of microorganisms that accumulate on almost any kinds of surfaces. In this paper, a biofilm growth model on an agar substrate is developed based on mass conservation principles, Fick's first law, and Monod's kinetic reaction, by considering nutrient diffusion between biofilm and agar substrate. Our results show biofilm growth evolution characteristics such as biofilm thickness, active biomass, and nutrient concentration in the agar substrate. We quantitatively obtain biofilm growth dependence on different parameters. We provide an alternative mathematical method to describe other kinds of biofilm growth such as multiple bacterial species biofilm and also biofilm growth on various complex substrates.

No MeSH data available.


Related in: MedlinePlus