A two-dimensional multi-species model for different Listeria monocytogenes biofilm structures and its numerical simulation
作者：
Highlights：
• A new two-dimensional multispecies PDE model for biofilm dynamics is proposed.
• A complex system of nonlinear partial differential equations is numerically solved.
• Numerical techniques are fixed point, Crank-Nicolson, Gibou’s and level set methods.
• The model simulates flat, cluster and honeycomb structures of Listeria Monocitogenes.
• Examples validate model and numerical methods with real-world laboratory experiments.
摘要
•A new two-dimensional multispecies PDE model for biofilm dynamics is proposed.•A complex system of nonlinear partial differential equations is numerically solved.•Numerical techniques are fixed point, Crank-Nicolson, Gibou’s and level set methods.•The model simulates flat, cluster and honeycomb structures of Listeria Monocitogenes.•Examples validate model and numerical methods with real-world laboratory experiments.
论文关键词：Biofilms,Continuum models,Nonlinear systems of PDEs,Finite differences,Level set methods
论文评审过程：Received 30 September 2019, Revised 15 April 2020, Accepted 17 May 2020, Available online 2 June 2020, Version of Record 2 June 2020.
论文官网地址：https://doi.org/10.1016/j.amc.2020.125383
