Year: 2011
East Asian Journal on Applied Mathematics, Vol. 1 (2011), Iss. 3 : pp. 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.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.060111.130411a
East Asian Journal on Applied Mathematics, Vol. 1 (2011), Iss. 3 : pp. 197–214
Published online: 2011-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Biofilm Cahn-Hilliard equation phase filed finite difference method multiphase flow.
-
Homogeneously and heterogeneously structured biofilm models for wastewater treatment
Yang, Yan-Ru | Wang, Xiao-dong | Chang, Jo-Shu | Lee, Duu-JongBioresource Technology, Vol. 362 (2022), Iss. P.127763
https://doi.org/10.1016/j.biortech.2022.127763 [Citations: 5] -
Modeling antimicrobial tolerance and treatment of heterogeneous biofilms
Zhao, Jia | Seeluangsawat, Paisa | Wang, QiMathematical Biosciences, Vol. 282 (2016), Iss. P.1
https://doi.org/10.1016/j.mbs.2016.09.005 [Citations: 11] -
Multicomponent hydrodynamic model for heterogeneous biofilms: Two-dimensional numerical simulations of growth and interaction with flows
Lindley, Brandon | Wang, Qi | Zhang, TianyuPhysical Review E, Vol. 85 (2012), Iss. 3
https://doi.org/10.1103/PhysRevE.85.031908 [Citations: 17] -
Computational Modeling of Biological Systems
Computational and Modeling Strategies for Cell Motility
Wang, Qi | Yang, Xiaofeng | Adalsteinsson, David | Elston, Timothy C. | Jacobson, Ken | Kapustina, Maryna | Forest, M. Gregory2012
https://doi.org/10.1007/978-1-4614-2146-7_11 [Citations: 7] -
Variable viscosity and density biofilm simulations using an immersed boundary method, part II: Experimental validation and the heterogeneous rheology-IBM
Stotsky, Jay A. | Hammond, Jason F. | Pavlovsky, Leonid | Stewart, Elizabeth J. | Younger, John G. | Solomon, Michael J. | Bortz, David M.Journal of Computational Physics, Vol. 317 (2016), Iss. P.204
https://doi.org/10.1016/j.jcp.2016.04.027 [Citations: 14] -
Effects of turbulence fluctuation intensity in bioreactor of sewage treatment on physical and chemical properties of biofilms
Luo, Chao | Guo, Lisha | Zeng, Shi | Long, TianyuBioprocess and Biosystems Engineering, Vol. 44 (2021), Iss. 9 P.1865
https://doi.org/10.1007/s00449-021-02566-y [Citations: 2] -
3‐D spatio–temporal structures of biofilms in a water channel
Chen, Chen | Hou, Shuyu | Ren, Dacheng | Ren, Mingming | Wang, QiMathematical Methods in the Applied Sciences, Vol. 38 (2015), Iss. 18 P.4461
https://doi.org/10.1002/mma.2828 [Citations: 7] -
Fully HOC Scheme for Mixed Convection Flow in a Lid-Driven Cavity Filled with a Nanofluid
Li, Dingfang | Wang, Xiaofeng | Feng, HuiAdvances in Applied Mathematics and Mechanics, Vol. 5 (2013), Iss. 1 P.55
https://doi.org/10.4208/aamm.10-m1072 [Citations: 4]