关于保守部分在形成反应网络的鲁棒性和生产能力中的作用
On the role of conserved moieties in shaping the robustness and production capabilities of reaction networks
摘要：
我们研究了一个简化的，可解的模型，一个完全连接的代谢网络与约束淬火无序模仿守恒定律的化学计量化学反应。在一个自旋玻璃类型的方法，我们表明，在存在一个保守的代谢池的通量状态对应于最大的增长是固定的独立的池的大小。此外，与无约束网络的情况不一致，最佳通量配置的体积仍然有限，这表明化学计量约束所施加的挫折，同时降低增长能力，赋予系统的鲁棒性和灵活性。这些结果有一个明确的生物学解释，并提供了一个基本的，充分的分析解释最近观察到的功能，在真正的代谢网络。
英文摘要：
We study a simplified, solvable model of a fully-connected metabolic network with constrained quenched disorder to mimic the conservation laws imposed by stoichiometry on chemical reactions. Within a spin-glass type of approach, we show that in presence of a conserved metabolic pool the flux state corresponding to maximal growth is stationary independently of the pool size. In addition, and at odds with the case of unconstrained networks, the volume of optimal flux configurations remains finite, indicating that the frustration imposed by stoichiometric constraints, while reducing growth capabilities, confers robustness and flexibility to the system. These results have a clear biological interpretation and provide a basic, fully analytical explanation to features recently observed in real metabolic networks.
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