A model of microbial growth in a plug flow reactor with wall attachment

被引：65

作者：

Ballyk, M ^{[1
]}

Smith, H ^{[1
]}

机构：

[1] Arizona State Univ, Dept Math, Tempe, AZ 85287 USA

来源：

MATHEMATICAL BIOSCIENCES | 1999年 / 158卷 / 02期

关键词：

plug flow; bacterial wall growth; gut;

D O I：

10.1016/S0025-5564(99)00006-1

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

A mathematical model of microbial growth for limiting nutrient in a plug flow reactor which accounts for the colonization of the reactor wall surface by the microbes is formulated and studied analytically and numerically. It can be viewed as a model of the large intestine or of the fouling of a commercial bio-reactor or pipe flow. 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 by the microbes. Only one steady state is stable for any particular set of parameter values. Sharp and explicit conditions are given for the stability of each, and for the long term persistence of the bacteria in the reactor. (C) 1999 Elsevier Science Inc. All rights reserved.

引用

页码：95 / 126

页数：32

共 29 条

[1] FIXED-POINT EQUATIONS AND NONLINEAR EIGENVALUE PROBLEMS IN ORDERED BANACH-SPACES [J].