Skip to main content


Local control of non-local information flow in oscillatory neuronal networks

Article metrics

Control of information flow between neurons or groups of neurons is essential in a functional brain, e.g. for context and brain state dependent processing. In line with recent experimental and theoretical studies [15] we show that phase relations between synchronized oscillatory local circuits or brain areas may dynamically create information channels and induce changes in the effective connectivity.

Reducing neuronal oscillatory dynamics to a phase - amplitude description [6, 7], we show how alternative phase shifts between different neurons or groups of neurons result in different effective connectivities. In particular, to quantify the information flow, we analytically calculate the time delayed mutual information and transfer entropy between oscillators in a phase locked state. We further present a theoretical framework to predict phase lag patterns within and between groups of oscillators in hierarchical networks. Combining both results we derive the information flow between the oscillators as a function of structural and dynamical network parameter.

We use our results to reveal how effective connectivity is controlled by the underlying physical connectivity and the intrinsic single oscillation frequencies. Interestingly, we find that local changes in the strength of a single link can remotely control the effective connectivity between two different physically unchanged oscillators. Similarly, local inputs modulating the intrinsic frequencies can dynamically and remotely change the information flow between distal nodes.

We link our results to biophysically more realistic networks of spiking neurons. In a clustered network of groups of type I neurons exhibiting gamma oscillations emanating from a PING mechanism [8], we numerically show that local changes of the connectivity or the inputs strengths within a cluster can non-locally control the phase relations and the information flow between distant clusters.


Our findings reveal that local changes, e.g. in the physical strength of a local link or in the local frequency due to variation in the local inputs, can remotely and dynamically control the direction of non-local global information flow between distal nodes/clusters in a network. This might provide an efficient local mechanism to control global information processing in neuronal systems and to account for contextual and attentional modulation.


  1. 1.

    Womelsdorf T, Schoffelen JM, Oostenveld R, Singer W, Desimone R, Engel AK, Andreas K, Fries P: Modulation of Neuronal Interactions Through Neuronal Synchronization. Science. 2007, 316: 1609-1612. 10.1126/science.1139597.

  2. 2.

    Buehlmann A, Deco G: Optimal Information Transfer in the Cortex through Synchronization. PLoS Comput Biol. 2010, 6: e1000934-10.1371/journal.pcbi.1000934.

  3. 3.

    Besserve M, Murayma Y, Schölkopf B, Logothetis NK, Panyeri S: High frequency phase-spike synchronization of extracellular signals modulates causal interactions in monkey primary visual cortex. Neuroscience Meeting Planner. 2010, Society for Neuroscience, Online

  4. 4.

    Fries P: Neuronal Gamma-Band Synchronization as a Fundamental Process in Cortical Computation. Ann Rev Neurosc. 2009, 32: 209-224. 10.1146/annurev.neuro.051508.135603.

  5. 5.

    Battaglia D, Witt A, Geisel T, Wolf F: Dynamic transitions in the effective connectivity of interacting cortical areas. FENS. 2010, [] abstract

  6. 6.

    Kuramoto Y: Chemical Oscillations, Waves and Turbulence. 1994, Springer

  7. 7.

    Kawamura Y, Nakao H, Arai K, Kori H, Kuramoto Y: Collective Phase Sensitivity. Phys Rev Lett. 2008, 101: 024101-10.1103/PhysRevLett.101.024101.

  8. 8.

    Börgers C, Kopell N: Effects of Noisy Drive on Rhythms in Networks of Excitatory and Inhibitory Neurons. Neural Comp. 2005, 3: 557-608. 10.1162/0899766053019908.

Download references

Author information

Correspondence to Christoph Kirst.

Rights and permissions

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the terms of the Creative Commons Attribution License (, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Reprints and Permissions

About this article


  • Information Flow
  • Global Information
  • Effective Connectivity
  • Transfer Entropy
  • Gamma Oscillation