MATHEMATICAL-THEORY FOR SINGLE-NUTRIENT COMPETITION IN CONTINUOUS CULTURES OF MICROORGANISMS
MATHEMATICAL-THEORY FOR SINGLE-NUTRIENT COMPETITION IN CONTINUOUS CULTURES OF MICROORGANISMS
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DOI：
10.1137/0132030
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发表时间：
1977-01-01
影响因子：
1.9
通讯作者：
WALTMAN, P
中科院分区：
文献类型：
--
作者：
HSU, SB;HUBBELL, S;WALTMAN, P
利用恒化器连续培养微生物是微生物学和种群生物学的一项重要研究技术。它为工业微生物学家提供了微生物经济生产的优势，并且是人口研究的自然实验室理想化。本文研究了一个基于Michaelis-Menten动力学的数学模型，该模型只考虑一种底物和多个竞争物种。给定系统的参数，我们回答的基本问题，哪些物种生存，哪些不，并确定的限制行为。主要结论是，与其内在自然增长率相比，米氏常数最小的物种将生存。
The continuous culture of micro-organisms using the chemostat is an important research technique in microbiology and population biology. It offers advantages in the form of economical production of micro-organisms for the industrial microbiologist and is a laboratory idealization of nature for population studies. The paper studies a mathematical model, based on Michaelis-Menten kinetics, for one substrate andncompeting species. Given the parameters of the system, we answer the basic question as to which species survive and which do not, and determine the limiting behaviors. The primary conclusion is that the species will survive whose Michaelis-Menten constant is smallest in comparison with its intrinsic rate of natural increase.