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arXiv 1603.08445q-bio.NC
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复杂脑网络信息过滤的拓扑判据

A topological criterion for filtering information in complex brain networks

Fabrizio De Vico Fallani, Vito Latora, Mario Chavez

摘要:

在许多生物系统中,元素之间的相互作用网络只能从实验测量中推断出来。在神经科学中,非侵入性成像工具被广泛用于获得体内结构或功能性脑网络。作为推理过程的结果,我们得到了一个对应于一个不切实际的全连接和加权网络的值矩阵。为了将其转化为有用的稀疏网络,通常采用阈值处理来取消一定比例的最弱连接。结果网络的结构属性取决于最终保留多少推断的连接性。然而,如何确定这一门槛仍然是一个悬而未决的问题。我们引入了一个标准,效率成本优化(ECO),选择一个阈值的基础上优化的网络的效率和布线成本之间的权衡。我们证明了分析,我们通过数值模拟确认,连接密度最大化这一权衡强调了给定网络的内在属性,同时保持其稀疏性。此外,该密度阈值可以先验地确定,因为根据幂律,要过滤的连接的数量仅取决于网络大小。我们在几个大脑网络上验证了这一结果,从微观到宏观尺度,用不同的成像方式获得。最后,我们测试了潜在的ECO在区分大脑状态方面的替代过滤方法。ECO提高了我们分析和比较生物网络的能力,从实验数据中推断,以快速和有原则的方式。

英文摘要:

In many biological systems, the network of interactions between the elements can only be inferred from experimental measurements. In neuroscience, non-invasive imaging tools are extensively used to derive either structural or functional brain networks in-vivo. As a result of the inference process, we obtain a matrix of values corresponding to an unrealistic fully connected and weighted network. To turn this into a useful sparse network, thresholding is typically adopted to cancel a percentage of the weakest connections. The structural properties of the resulting network depend on how much of the inferred connectivity is eventually retained. However, how to fix this threshold is still an open issue. We introduce a criterion, the efficiency cost optimization (ECO), to select a threshold based on the optimization of the trade-off between the efficiency of a network and its wiring cost. We prove analytically and we confirm through numerical simulations that the connection density maximizing this trade-off emphasizes the intrinsic properties of a given network, while preserving its sparsity. Moreover, this density threshold can be determined a-priori, since the number of connections to filter only depends on the network size according to a power-law. We validate this result on several brain networks, from micro- to macro-scales, obtained with different imaging modalities. Finally, we test the potential of ECO in discriminating brain states with respect to alternative filtering methods. ECO advances our ability to analyze and compare biological networks, inferred from experimental data, in a fast and principled way.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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