基于多元相场理论的细菌生物膜生长动力学建模及其数值模拟

摘要

细菌生物膜普遍存在于自然界和工业环境中.将细菌生物膜视为由多种组元组成的不可压缩的黏性流体,结合多元相场理论、物质连续方程、动量守恒方程、溶质场控制方程和生物反应动力方程对细菌生物膜生长动力学进行建模.通过对模型的数值模拟,可以描述细菌和胞外聚合物在静态环境和动态环境中的生长状况以及营养物质的消耗规律.%Bacteria biofilms are widespread in nature and industrial environments. A bacteria biofilm is regarded as an incompressible viscous fluid composed of multiplecom-ponents. 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 multiple-component 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.