1. Addressing indirect frequency coupling via partial generalized coherence
- Author
-
Behnaam Aazhang, Ryota Homma, and Joseph Young
- Subjects
0301 basic medicine ,Work (thermodynamics) ,Computer science ,Gaussian ,Science ,Models, Neurological ,Topology ,Article ,Mice ,03 medical and health sciences ,symbols.namesake ,Olfactory bulb ,0302 clinical medicine ,Animals ,Humans ,Brain Mapping ,Multidisciplinary ,Conditional mutual information ,Brain ,Electroencephalography ,Coherence (statistics) ,Nonlinear system ,030104 developmental biology ,Computational neuroscience ,symbols ,Graph (abstract data type) ,Medicine ,Pairwise comparison ,030217 neurology & neurosurgery ,Neuroscience ,Curse of dimensionality - Abstract
Distinguishing between direct and indirect frequency coupling is an important aspect of functional connectivity analyses because this distinction can determine if two brain regions are directly connected. Although partial coherence quantifies partial frequency coupling in the linear Gaussian case, we introduce a general framework that can address even the nonlinear and non-Gaussian case. Our technique, partial generalized coherence (PGC), expands prior work by allowing pairwise frequency coupling analyses to be conditioned on other processes, enabling model-free partial frequency coupling results. By taking advantage of recent advances in conditional mutual information estimation, we are able to implement our technique in a way that scales well with dimensionality, making it possible to condition on many processes and produce a partial frequency coupling graph. We analyzed both linear Gaussian and nonlinear simulated networks. We then performed PGC analysis of calcium recordings from mouse olfactory bulb glomeruli under anesthesia and quantified the dominant influence of breathing-related activity on the pairwise relationships between glomeruli for breathing-related frequencies. Overall, we introduce a technique capable of eliminating indirect frequency coupling in a model-free way, empowering future research to correct for potentially misleading frequency interactions in functional connectivity analyses.
- Published
- 2021