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Is it right to estimate inter-modular connectivity from local field potentials?
BMC Neuroscience volume 16, Article number: P93 (2015)
Human brains with hundreds of billions of neurons are organized in a hierarchical modular network. There have been many attempts to estimate inter-modular connectivity utilizing coherent neuronal activities of a huge number of neurons, such as the electro-encephalogram, the magneto-encephalogram, and the functional magnetic resonance imaging. Here we ask a question: Is the inter-modular connectivity estimated from the modular activities consistent with the inter-modular connectivity that could be extracted from the network connectivity of individual nodes?
To answer this question, we introduce a method of estimating the inter-modular connectivity based on the analysis of inverse phase synchronization [1, 2]. For coupled phase oscillators on a hierarchical modular network shown in the Figure 1(A), the local field potential corresponding to a module is defined as the mean phase of oscillators belonging to a subset of the module.
For strong coupling strength, it is shown in Figure 1(B) that the inverse phase synchronization index grows linearly with the number of links connecting two modules. This result enables us to estimate the inter-modular connectivity in various complex systems from the inverse phase synchronization index of the mesoscopic modular activities.
Schelter B, Winterhalder M, Dahlhaus R, Kurths J, Timmer J: Partial phase synchronization for multivariate synchronizing systems,. Phys. Rev. Lett. 2006, 96: 208103-
Kim S, Cui X-M, Yoon CN, Ta HX, Han SK: Estimating network link weights from inverse phase synchronization indices. Europhys. Lett. 2011, 96: 20006-
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Cui, XM., Kim, W.S., Hwang, DU. et al. Is it right to estimate inter-modular connectivity from local field potentials?. BMC Neurosci 16, P93 (2015). https://doi.org/10.1186/1471-2202-16-S1-P93
- Magnetic Resonance Imaging
- Animal Model
- Complex System
- Human Brain
- Strong Coupling