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arXiv 1708.07046q-bio.NCphysics.data-an
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基于随机矩阵理论的脑功能信号研究

Uncovering functional brain signature via random matrix theory

Assaf Almog, Ori Roethler, Renate Buijink, Stephan Michel, Johanna H Meijer, Jos H. T. Rohling, Diego Garlaschelli

摘要:

大脑是以模块化的方式组织的,具有多种功能。这种多样性要求积极(例如兴奋性,相位相干)和消极(例如抑制性,相位相反)的相互作用在大脑模块中发生。不幸的是,大多数从时间序列中检测模块的方法要么忽略任何测量到的负相关,要么将其转换为正相关。这可能会留下显著部分的符号依赖功能结构未被检测到。在这里,我们提出了一种新的方法,随机矩阵理论的基础上,在大脑中的符号依赖模块的识别。我们的方法过滤掉了局部(特定于单元的)噪声和全局(系统范围内)依赖性的联合效应,这些依赖性在经验上混淆了这种结构。该方法保证识别出最佳对比的功能“签名”,即划分为内部正相关和内部负相关的模块。该方法是纯数据驱动的,不使用任何任意的阈值或网络投影,并且仅输出统计上显著的结构。在小鼠生物钟中神经元基因表达的测量中,该方法系统地揭示了两个否则不可检测的负相关模块,其相对大小和相互作用强度被发现取决于光周期。在两个模块之间交替的神经元定义了昼夜节律调节的功能可塑性的候选区域。

英文摘要:

The brain is organized in a modular way, serving multiple functionalities. This multiplicity requires that both positive (e.g. excitatory, phase-coherent) and negative (e.g. inhibitory, phase-opposing) interactions take place across brain modules. Unfortunately, most methods to detect modules from time series either neglect or convert to positive any measured negative correlation. This may leave a significant part of the sign-dependent functional structure undetected. Here we present a novel method, based on random matrix theory, for the identification of sign-dependent modules in the brain. Our method filters out the joint effects of local (unit-specific) noise and global (system-wide) dependencies that empirically obfuscate such structure. The method is guaranteed to identify an optimally contrasted functional `signature', i.e. a partition into modules that are positively correlated internally and negatively correlated across. The method is purely data-driven, does not use any arbitrary threshold or network projection, and outputs only statistically significant structure. In measurements of neuronal gene expression in the biological clock of mice, the method systematically uncovers two otherwise undetectable, negatively correlated modules whose relative size and mutual interaction strength are found to depend on photoperiod. The neurons alternating between the two modules define a candidate region of functional plasticity for circadian modulation.

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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