Maintenance affects the stability of a two-tiered microbial 'food chain'?
Maintenance affects the stability of a two-tiered microbial 'food chain'?
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DOI：
10.1016/j.jtbi.2011.01.026
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发表时间：
2011-05-07
影响因子：
2
通讯作者：
Martin, Elaine
中科院分区：
文献类型：
--
作者：
Xu, Aiping;Dolfing, Jan;Martin, Elaine
微生物的“食物链”从根本上不同于典型的食物链，在这个意义上，一个营养级上的生物体的废物被下一个营养级的生物体消耗，而不是生物体本身。在本文中，我们引入了一个广义模型的两层微生物的“食物链”的反馈抑制，应用适当的无量纲变换后，并研究其稳定性分析。然后，我们参数化的模型与共识值的互养丙酸降解编译的IWA任务组的厌氧消化过程的数学建模。除生长外的所有过程的能量消耗称为维持。在没有维持和衰变的情况下，微生物的“食物链”本质上是稳定的，但当描述中包括衰变时，情况就不一定如此了。我们指出，这是在类比典型的食物链中引入维护描述一个稳定的（平衡或极限环）捕食者-猎物系统产生混乱。(C)2011爱思唯尔有限公司保留所有权利。
Microbial 'food chains' are fundamentally different from canonical food chains in the sense that the waste products of the organisms on one trophic level are consumed by organisms of the next trophic level rather than the organisms themselves. In the present paper we introduce a generalised model of a two-tiered microbial 'food chain' with feedback inhibition, after applying an appropriate dimensionless transformation, and investigate its stability analytically. We then parameterised the model with consensus values for syntrophic propionate degradation compiled by the IWA Task Group for Mathematical Modelling of Anaerobic Digestion Processes. Consumption of energy for all processes other than growth is called maintenance. In the absence of maintenance and decay the microbial 'food chain' is intrinsically stable, but when decay is included in the description this is not necessarily the case. We point out that this is in analogy to canonical food chains where introduction of maintenance in the description of a stable (equilibrium or limit cycle) predator-prey system generates chaos. (C) 2011 Elsevier Ltd. All rights reserved.