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一种保守底物限制下微生物生长的数学模型。

A mathematical model for microbial growth under limitation by conservative substrates.

作者信息

Nyholm N

出版信息

Biotechnol Bioeng. 1976 Aug;18(8):1043-56. doi: 10.1002/bit.260180803.

DOI:10.1002/bit.260180803
PMID:953167
Abstract

A mathematical model is suggested for growth of microorganisms under limitation by "conservative" substrates such as inorganic ions or vitamins that are not broken down after uptake into the cells, but that wholely or partly remain available for production of biomass. The specific growth rate is expressed here as a function of the intracellular "concentration" of the limiting substrate, defined as the amount of substrate within the cells per unit of cell dry weight. In the model, the intracellular substrate is divided into two parts. One part is a "structural" substrate not available for further growth. The other part is an "excess" or "functional" substrate that is used for biomass production and is assumed to be converted into structural substrate proportionally to growth. The rate of growth is believed to be controlled by the intracellular concentration of excess substrate.

摘要

针对在诸如无机离子或维生素等“保守”底物限制下微生物的生长,提出了一个数学模型。这些底物在被细胞摄取后不会被分解,而是全部或部分地仍可用于生物量的产生。这里将比生长速率表示为限制底物细胞内“浓度”的函数,该浓度定义为每单位细胞干重中细胞内底物的量。在该模型中,细胞内底物分为两部分。一部分是不可用于进一步生长的“结构”底物。另一部分是用于生物量产生的“过量”或“功能性”底物,假定其按与生长成比例的方式转化为结构底物。生长速率被认为受过量底物的细胞内浓度控制。

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