A thin-film extensional flow model for biofilm expansion by sliding motility
A thin-film extensional flow model for biofilm expansion by sliding motility
复制标题
通过滑动运动实现生物膜扩张的薄膜拉伸流动模型
DOI:
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发表时间:
2019
期刊:
影响因子:
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通讯作者:
B. Binder
中科院分区:
文献类型:
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作者:
Alexander K. Y. Tam;J. Green;Sanjeeva Balasuriya;Ee Lin Tek;J. Gardner;Joanna F. Sundstrom;V. Jiranek;B. Binder
In the presence of glycoproteins, bacterial and yeast biofilms are hypothesized to expand by sliding motility. This involves a sheet of cells spreading as a unit, facilitated by cell proliferation and weak adhesion to the substratum. In this paper, we derive an extensional flow model for biofilm expansion by sliding motility to test this hypothesis. We model the biofilm as a two-phase (living cells and an extracellular matrix) viscous fluid mixture, and model nutrient depletion and uptake from the substratum. Applying the thin-film approximation simplifies the model, and reduces it to one-dimensional axisymmetric form. Comparison with Saccharomyces cerevisiae mat formation experiments reveals good agreement between experimental expansion speed and numerical solutions to the model with O(1) parameters estimated from experiments. This confirms that sliding motility is a possible mechanism for yeast biofilm expansion. Having established the biological relevance of the model, we then demonstrate how the model parameters affect expansion speed, enabling us to predict biofilm expansion for different experimental conditions. Finally, we show that our model can explain the ridge formation observed in some biofilms. This is especially true if surface tension is low, as hypothesized for sliding motility.