细菌代谢异质性：从随机模型到确定模型
Bacterial Metabolic Heterogeneity: from Stochastic to Deterministic Models
摘要：
我们重新研究了由Monod首先描述的纯微生物在两种不同糖上的二元生长模型。大多数可用的模型是确定性的，并假设微生物生态系统的所有细胞对两种糖的行为是均匀的，所有细胞都消耗第一种糖，然后在第一种糖耗尽时切换到第二种糖。我们在这里提出了一个随机模型，它描述了所谓的“代谢异质性”。它允许考虑如在微流体中的小群体以及其中数十亿个个体在批量或恒化器中共存于培养基中的大群体。我们强调的随机模型和确定性行为之间的联系，在真正的大型文化使用一个大的人口近似。然后，模型参数值对模型动力学的影响进行了研究，特别是相对于在实际系统中观察到的滞后相，这取决于微生物生长的糖。结果表明，代谢参数以及初始条件对系统动力学起着至关重要的作用。
英文摘要：
We revisit the modeling of the diauxic growth of a pure microorganism on two distinct sugars which was first described by Monod. Most available models are deterministic and make the assumption that all cells of the microbial ecosystem behave homogeneously with respect to both sugars, all consuming the first one and then switching to the second when the first is exhausted. We propose here a stochastic model which describes what is called "metabolic heterogeneity". It allows to consider small populations as in microfluidics as well as large populations where billions of individuals coexist in the medium in a batch or chemostat. We highlight the link between the stochastic model and the deterministic behavior in real large cultures using a large population approximation. Then the influence of model parameter values on model dynamics is studied, notably with respect to the lag-phase observed in real systems depending on the sugars on which the microorganism grows. It is shown that both metabolic parameters as well as initial conditions play a crucial role on system dynamics.
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