Lendenmann U, Snozzi M, Egli T
Swiss Federal Institute for Environmental Science and Technology (EAWAG), Swiss Federal Institute of Technology, Dübendorf, Switzerland.
Can J Microbiol. 2000 Jan;46(1):72-80. doi: 10.1139/cjm-46-1-72.
Kinetic models for microbial growth describe the specific growth rate (mu) as a function of the concentration of the growth-limiting nutrient (s) and a set of parameters. A typical example is the model proposed by Monod, where mu is related to s using substrate affinity (Ks) and the maximum specific growth rate (mu max). The preferred method to determine such parameters is to grow microorganisms in continuous culture and to measure the concentration of the growth-limiting substrate as a function of the dilution rate. However, owing to the lack of analytical methods to quantify sugars in the microgram per litre range, it has not been possible to investigate the growth kinetics of Escherichia coli in chemostat culture. Using an HPLC method able to determine steady-state concentrations of reducing sugars, we previously have shown that the Monod model adequately describes glucose-limited growth of E. coli ML30. This has not been confirmed for any other sugar. Therefore, we carried out a similar study with galactose and found steady-state concentrations between 18 and 840 micrograms.L-1 for dilution rates between 0.2 and 0.8.h-1, respectively. With these data the parameters of several models giving the specific growth rate as a function of the substrate concentration were estimated by nonlinear parameter estimation, and subsequently, the models were evaluated statistically. From all equations tested, the Monod model described the data best. The parameters for galactose utilisation were mu max = 0.75.h-1 and Ks = 67 micrograms.L-1. The results indicated that accurate Ks values can be estimated from a limited set of steady-state data when employing mu max measured during balanced growth in batch culture. This simplified procedure was applied for maltose, ribose, and fructose. For growth of E. coli with these sugars, mu max and Ks were for maltose 0.87.h-1, 100 micrograms.L-1; for ribose 0.57.h-1, 132 micrograms.L-1, and for fructose 0.70.h-1, 125 micrograms.L-1.
微生物生长的动力学模型将比生长速率(μ)描述为生长限制营养物浓度(s)和一组参数的函数。一个典型的例子是莫诺德提出的模型,其中μ通过底物亲和力(Ks)和最大比生长速率(μmax)与s相关。确定这些参数的首选方法是在连续培养中培养微生物,并测量作为稀释率函数的生长限制底物浓度。然而,由于缺乏在微克每升范围内定量糖的分析方法,无法研究大肠杆菌在恒化器培养中的生长动力学。使用一种能够测定还原糖稳态浓度的高效液相色谱方法,我们之前已经表明莫诺德模型能够充分描述大肠杆菌ML30的葡萄糖限制生长。对于任何其他糖,这一点尚未得到证实。因此,我们用半乳糖进行了类似的研究,发现对于0.2至0.8 h-1的稀释率,稳态浓度分别在18至840微克·L-1之间。利用这些数据,通过非线性参数估计估计了几个将比生长速率作为底物浓度函数的模型的参数,随后对这些模型进行了统计评估。在所有测试的方程中,莫诺德模型对数据的描述最佳。半乳糖利用的参数为μmax = 0.75 h-1和Ks = 67微克·L-1。结果表明,当采用分批培养平衡生长期间测得的μmax时,可以从一组有限的稳态数据中估计出准确的Ks值。这个简化程序应用于麦芽糖、核糖和果糖。对于大肠杆菌利用这些糖的生长,麦芽糖的μmax和Ks分别为0.87 h-1、100微克·L-1;核糖为0.57 h-1、132微克·L-1,果糖为0.70 h-1、125微克·L-1。