弗雷特尔模型：一种生物膜形成的简单模型。

The Freter model: a simple model of biofilm formation.

作者信息

Jones Don, Kojouharov Hristo V, Le Dung, Smith Hal

机构信息

Department of Mathematics, Arizona State University, Tempe, AZ 85287-1804, USA.

出版信息

J Math Biol. 2003 Aug;47(2):137-52. doi: 10.1007/s00285-003-0202-1. Epub 2003 Apr 23.

DOI:10.1007/s00285-003-0202-1

PMID:12883858

Abstract

A simple, conceptual model of biofilm formation, due to R. Freter et al. (1983), is studied analytically and numerically in both CSTR and PFR. Two steady state regimes are identified, namely, the complete washout of the microbes from the reactor and the successful colonization of both the wall and bulk fluid. One of these is stable for any particular set of parameter values and sharp and explicit conditions are given for the stability of each. The effects of adding an anti-microbial agent to the CSTR are examined.

摘要

研究了由R. Freter等人（1983年）提出的生物膜形成的简单概念模型，分别在连续搅拌釜式反应器（CSTR）和活塞流反应器（PFR）中进行了分析和数值研究。确定了两种稳态状态，即微生物从反应器中完全被冲洗掉，以及壁面和主体流体均成功定殖。其中一种状态对于任何特定的参数值集都是稳定的，并给出了每种状态稳定性的清晰明确条件。研究了向连续搅拌釜式反应器中添加抗菌剂的效果。