Volume 1, Issue 3
3-D Numerical Simulations of Biofilm Flows

Chen Chen, Mingming Ren, Ashok Srinivansan & Qi Wang

East Asian J. Appl. Math., 1 (2011), pp. 197-214.

Published online: 2018-02

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  • Abstract

We study the biofilm-flow interaction resulting in biofilm growth and deformation in a water channel in a 3-D setting using the phase field model developed recently [28, 29]. In this biofilm model, the biofilm made up of the EPS, bacteria and solvent is tracked using a biofilm volume fraction which vanishes outside the biofilm region. The interface between the biofilm and the solvent is marked by the zero level surface of the volume fraction measured from the biofilm to the solvent. The growth of the biofilm and the solvent-biofilm interaction with the top nutrient feeding condition is simulated in the viscous regime (growth regime) of the biofilm-solvent mixture flow. In quiescent flows, the model predicts growth patterns consistent with experimental findings for single or multiple adjacent biofilm colonies, in which the known mushroom shape growth pattern is obtained. Shear induced deformation in biofilms is simulated in a shear cell, providing a viable numerical evidence for using simulation tool to study biofilm growth and interaction dynamics in aqueous environment.

  • Keywords

Biofilm Cahn-Hilliard equation phase filed finite difference method multiphase flow

  • AMS Subject Headings

65M06 76D05 76A05 76T30 76Z05 92C05

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COPYRIGHT: © Global Science Press

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@Article{EAJAM-1-197, author = {Chen Chen, Mingming Ren, Ashok Srinivansan and Qi Wang}, title = {3-D Numerical Simulations of Biofilm Flows}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {1}, number = {3}, pages = {197--214}, abstract = {

We study the biofilm-flow interaction resulting in biofilm growth and deformation in a water channel in a 3-D setting using the phase field model developed recently [28, 29]. In this biofilm model, the biofilm made up of the EPS, bacteria and solvent is tracked using a biofilm volume fraction which vanishes outside the biofilm region. The interface between the biofilm and the solvent is marked by the zero level surface of the volume fraction measured from the biofilm to the solvent. The growth of the biofilm and the solvent-biofilm interaction with the top nutrient feeding condition is simulated in the viscous regime (growth regime) of the biofilm-solvent mixture flow. In quiescent flows, the model predicts growth patterns consistent with experimental findings for single or multiple adjacent biofilm colonies, in which the known mushroom shape growth pattern is obtained. Shear induced deformation in biofilms is simulated in a shear cell, providing a viable numerical evidence for using simulation tool to study biofilm growth and interaction dynamics in aqueous environment.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.060111.130411a}, url = {http://global-sci.org/intro/article_detail/eajam/10904.html} }
TY - JOUR T1 - 3-D Numerical Simulations of Biofilm Flows AU - Chen Chen, Mingming Ren, Ashok Srinivansan & Qi Wang JO - East Asian Journal on Applied Mathematics VL - 3 SP - 197 EP - 214 PY - 2018 DA - 2018/02 SN - 1 DO - http://doi.org/10.4208/eajam.060111.130411a UR - https://global-sci.org/intro/article_detail/eajam/10904.html KW - Biofilm KW - Cahn-Hilliard equation KW - phase filed KW - finite difference method KW - multiphase flow AB -

We study the biofilm-flow interaction resulting in biofilm growth and deformation in a water channel in a 3-D setting using the phase field model developed recently [28, 29]. In this biofilm model, the biofilm made up of the EPS, bacteria and solvent is tracked using a biofilm volume fraction which vanishes outside the biofilm region. The interface between the biofilm and the solvent is marked by the zero level surface of the volume fraction measured from the biofilm to the solvent. The growth of the biofilm and the solvent-biofilm interaction with the top nutrient feeding condition is simulated in the viscous regime (growth regime) of the biofilm-solvent mixture flow. In quiescent flows, the model predicts growth patterns consistent with experimental findings for single or multiple adjacent biofilm colonies, in which the known mushroom shape growth pattern is obtained. Shear induced deformation in biofilms is simulated in a shear cell, providing a viable numerical evidence for using simulation tool to study biofilm growth and interaction dynamics in aqueous environment.

Chen Chen, Mingming Ren, Ashok Srinivansan & Qi Wang. (1970). 3-D Numerical Simulations of Biofilm Flows. East Asian Journal on Applied Mathematics. 1 (3). 197-214. doi:10.4208/eajam.060111.130411a
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