Yates George T, Smotzer Thomas
Department of Mathematics and Statistics, Youngstown State University, One University Plaza, Youngstown, OH 44555, USA.
J Theor Biol. 2007 Feb 7;244(3):511-7. doi: 10.1016/j.jtbi.2006.08.017. Epub 2006 Sep 1.
The lag phase is generally thought to be a period during which the cells adjust to a new environment before the onset of exponential growth. Characterizing the lag phase in microbial growth curves has importance in food sciences, environmental sciences, bioremediation and in understanding basic cellular processes. The goal of this work is to extend the analysis of cell growth curves and to better estimate the duration of the lag phase. A non-autonomous model is presented that includes actively duplicating cells and two subclasses of non-duplicating cells. The growth curves depend on the growth and death rate of these three subpopulations and on the initial proportion of each. A deterministic and a stochastic model are both developed and give the same results. A notable feature of the model is the decline of cells during the early stage of the growth curve, and the range of parameters when this decline occurs is identified. A limited growth model is also presented that accounts for the lag, exponential growth and stationary phase of microbial growth curves.
延迟期通常被认为是细胞在指数生长开始之前适应新环境的时期。表征微生物生长曲线中的延迟期在食品科学、环境科学、生物修复以及理解基本细胞过程方面具有重要意义。这项工作的目标是扩展对细胞生长曲线的分析，并更好地估计延迟期的持续时间。提出了一个非自治模型，该模型包括正在积极复制的细胞和两个非复制细胞亚类。生长曲线取决于这三个亚群的生长和死亡率以及每个亚群的初始比例。开发了确定性模型和随机模型，二者给出相同的结果。该模型的一个显著特征是生长曲线早期细胞数量的下降，并确定了出现这种下降时的参数范围。还提出了一个有限生长模型，该模型考虑了微生物生长曲线的延迟期、指数生长期和平稳期。
