SPATIOTEMPORAL GROWTH OF BACTERIAL COLONIES

被引:1
|
作者
GRIMSON, MJ
机构
[1] UNIV AUCKLAND,DEPT PHYS,AUCKLAND,NEW ZEALAND
[2] UNIV AUCKLAND,DIV SCI & TECHNOL,AUCKLAND,NEW ZEALAND
来源
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1994年 / 4卷 / 05期
关键词
D O I
10.1142/S0218127494000903
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A continuum model for the spatiotemporal growth of bacterial colonies is introduced based on a coupled set of reaction-diffusion equations with local and nonlocal modes of colony growth. Local growth occurs where the colony is not close packed. Nonlocal growth occurs at the surface of a colony if local growth cannot account for the total amount of growth required by a global constraint. A model reaction scheme is used to extend the formalism to flux limited growth. In such cases a reaction zone within the colony is responsible for growth in both spherical colonies and biofilms. Modelling the growth of a bacterial colony on a flat solid surface requires anisotropy of the nonlocal growth component to be introduced.
引用
收藏
页码:1205 / 1214
页数:10
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