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首页> 外文期刊>Proceedings of the National Academy of Sciences of the United States of America >Scaling theory of transport in complex biological networks
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Scaling theory of transport in complex biological networks

机译：复杂生物网络中运输的比例理论

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Transport is an important function in many network systems and understanding its behavior on biological, social, and technological networks is crucial for a wide range of applications. However, it is a property that is not well understood in these systems, probably because of the lack of a general theoretical framework. Here, based on the finding that renormalization can be applied to bionetworks, we develop a scaling theory of transport in self-similar networks. We demonstrate the networks invariance under length scale renormalization, and we show that the problem of transport can be characterized in terms of a set of critical exponents. The scaling theory allows us to determine the influence of the modular structure on transport in metabolic and protein-interaction networks. We also generalize our theory by presenting and verifying scaling arguments for the dependence of transport on microscopic features, such as the degree of the nodes and the distance between them. Using transport concepts such as diffusion and resistance, we exploit this invariance, and we are able to explain, based on the topology of the network, recent experimental results on the broad flow distribution in metabolic networks.
机译：传输是许多网络系统中的重要功能，了解其在生物，社会和技术网络上的行为对于广泛的应用至关重要。但是，这可能是由于缺乏通用的理论框架而无法在这些系统中很好地理解的特性。在此，基于重新归一化可以应用于生物网络的发现，我们开发了自相似网络中运输的缩放理论。我们证明了在长度尺度重新归一化下的网络不变性，并且我们证明了运输问题可以用一组关键指数来表征。缩放理论使我们能够确定模块结构对代谢和蛋白质相互作用网络中运输的影响。我们还通过提出和验证缩放比例参数来概括我们的理论，这些比例参数是传输对微观特征的依赖关系，例如节点的程度和它们之间的距离。利用扩散和阻力等传输概念，我们利用了这种不变性，并且能够基于网络的拓扑结构解释关于代谢网络中广泛的流量分布的最新实验结果。

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