The resting brain dynamics self-organizes into a finite number of correlated patterns known as resting state networks (RSNs). It is well known that techniques like independent component analysis can separate the brain activity at rest to provide such RSNs, but the specific pattern of interaction between RSNs is not yet fully understood. To this aim, we propose here a novel method to compute the information flow (IF) between different RSNs from resting state magnetic resonance imaging. After haemodynamic response function blind deconvolution of all voxel signals, and under the hypothesis that RSNs define regions of interest, our method first uses principal component analysis to reduce dimensionality in each RSN to next compute IF (estimated here in terms of Transfer Entropy) between the different RSNs by systematically increasing k (the number of principal components used in the calculation). When k = 1, this method is equivalent to computing IF using the average of all voxel activities in each RSN. For k greater than one our method calculates the k-multivariate IF between the different RSNs. We find that the average IF among RSNs is dimension-dependent, increasing from k =1 (i.e., the average voxels activity) up to a maximum occurring at k =5 to finally decay to zero for k greater than 10. This suggests that a small number of components (close to 5) is sufficient to describe the IF pattern between RSNs. Our method - addressing differences in IF between RSNs for any generic data - can be used for group comparison in health or disease. To illustrate this, we have calculated the interRSNs IF in a dataset of Alzheimer's Disease (AD) to find that the most significant differences between AD and controls occurred for k =2, in addition to AD showing increased IF w.r.t. controls.
翻译:休息的大脑动态自我组织成数量有限的关联模式, 被称为休息状态网络( RSNs) 。 众所周知, 独立部件分析等技术可以将休息的大脑活动区分开来, 以提供这种 RSSN, 但RSNS 之间的特定互动模式尚未完全理解 。 为此, 我们提出一种新的方法来计算不同 RSN 之间的信息流( IF ), 而不是 休息状态磁共振成像 。 血液动力反应功能 对所有 voxel 信号进行盲目分解后, 并在 RSNs 定义感兴趣区域的假设下, 我们的方法首先使用主部件分析来减少每个 RSN 的常规常规常规部分的维度, 到下一个 FI( 此处以传输 Entropy 来估计) 。 当 k= 计算不同的 磁共振成图像时, 这个方法相当于使用所有 voxel 活动的平均值。 k- 在一个以上的方法中, 在不同的 RSNSNS 之间可以计算 k- 的 k- mlFs 中, 中, 显示最小的IFSN1 中, 中显示该平均的维值数据为从 K= 最大维值, = d= d= 最高值, 显示一个VD。 的数值到 的数值的数值值的数值为最大值, 的数值为最大值,, 至 值的计算为最大值, 。