Structure-Function Relationships behind the Phenomenon of Cognitive Resilience in Neurology: Insights for Neuroscience and Medicine

Figure 4

Research on resilience and modeling of structure-function relationships. Example of Laplacian matrices of anatomical and functional connectivity, for empirical and simulated, normal and pathological instances represented in a vector space over two components following singular value decomposition and additional transformations providing an optimal layout and metrics for comparing topological properties of networks. A simple SAR model (see [102]) is used to predict matrices of functional connectivity from matrices of structural connectivity. Normal anatomical connectivity predicts a simulated-functional connectivity that is close to empirical-functional connectivity, whereas abnormal anatomical connectivity (simulated callosectomy) predicts abnormal functional connectivity, farther away from empirical-functional connectivity. The distance between simulated and empirical functional connectivity, given anatomical connectivity, provides the parameter of control to drive research on mechanisms of renormalization of function and resilience.