Journal of Shanghai University(Natural Science Edition) ›› 2017, Vol. 23 ›› Issue (4): 563-574.doi: 10.12066/j.issn.1007-2861.1690

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Bacterial biofilm growth dynamical modeling and numerical simulation based on multiple-phase field theory

ZHANG Shumei1, XU Xiangrong1, XU Hao2, ZHOU Tao1, LI Shuang1, LI Yan1   

  1. 1. School of Mechanical Engineering, Anhui University of Technology, Maanshan 243032, Anhui, China;
    2. School of Mathematical Science and Engineering, Anhui University of Technology, Maanshan 243032, Anhui, China
  • Received:2015-06-29 Online:2017-08-30 Published:2017-08-30

Abstract:

Bacteria biofilms are widespread in nature and industrial environments. A bacteria biofilm is regarded as an incompressible viscous fluid composed of multiplecomponents. The theory of multiple-phase field, material continuity equation, momentum conservation equation, field control equations and biological reaction dynamic equation are combined to model bacterial biofilm growth dynamics. A numerical solution of the multiplecomponent bacterial biofilm growth dynamical model is used to describe the growth of bacteria, the law of nutriment’s consumption, and extracellular polymers in static and dynamic environments.

Key words: dynamical model, numerical simulation, phase field theory, bacteria biofilm