Anand D Vijay, El-Yaagoubi Anass B, Ombao Hernando, Chung Moo K
University College London, UK.
King Abdullah University of Science and Technology, Saudi Arabia.
ArXiv. 2025 Jul 22:arXiv:2211.10542v4.
We propose to analyze dynamically changing brain networks by decomposing them into three orthogonal components through the Hodge decomposition. We propose to quantify the magnitude and relative strength of each components. We performed extensive simulation studies with the known ground truth. The Hodge decomposition is then applied to the dynamically changing human brain networks obtained from the resting state functional magnetic resonance imaging study. Our study indicates that the components of the Hodge decomposition contain biologically interpretable topological features that provide statistically significant results that are difficult to obtain with the traditional methods.
我们建议通过霍奇分解将动态变化的脑网络分解为三个正交分量，从而对其进行分析。我们建议量化每个分量的大小和相对强度。我们使用已知的真实情况进行了广泛的模拟研究。然后将霍奇分解应用于从静息态功能磁共振成像研究中获得的动态变化的人类脑网络。我们的研究表明，霍奇分解的分量包含具有生物学可解释性的拓扑特征，这些特征提供了传统方法难以获得的具有统计学意义的结果。
