A three-phase model for biofilm formation on a porous solid surface

Uttam Kumar, S. Pushpavanam
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Abstract

We investigate the growth kinetics of bacterial biofilms on porous substrates. A three-phase model is developed, which accounts explicitly for the cell phase, extracellular matrix (ECM), and nutrient-rich aqueous phase. We use the thin-film approximation as the characteristic height of the biofilm is much smaller than its characteristic radius. We use the 2D axisymmetric model to capture biofilm growth on a porous agar substrate. Our model accounts for osmotic flux and predicts the spatiotemporal variations of the volume fractions of the different phases and the nutrient concentrations in the biofilm and the substrate. An increase in surface tension helps redistribute biomass radially. Our model captures the behavior of different kinds of biofilms: films characterized by low (yeast) and high (bacterial) ECM content. The predictions of our model are quantitatively validated with the experimental data from the literature. Our model provides insights on the role of different parameters on biofilm growth, which can be used to develop strategies to prevent or accelerate biofilm formation on surfaces.
多孔固体表面生物膜形成的三相模型
我们研究了多孔基质上细菌生物膜的生长动力学。我们建立了一个三相模型,该模型明确考虑了细胞相、细胞外基质(ECM)和富含营养的水相。由于生物膜的特征高度远小于其特征半径,因此我们使用了薄膜近似法。我们使用二维轴对称模型来捕捉多孔琼脂基质上的生物膜生长。我们的模型考虑了渗透通量,并预测了生物膜和基质中不同相的体积分数和营养浓度的时空变化。表面张力的增加有助于径向重新分配生物量。我们的模型捕捉到了不同类型生物膜的行为:以低(酵母)和高(细菌)ECM 含量为特征的薄膜。我们的模型预测结果与文献中的实验数据进行了定量验证。我们的模型深入揭示了不同参数对生物膜生长的作用,可用于开发防止或加速表面生物膜形成的策略。
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