Physics of neural networks with non-additive coupling

• Applicant: Professor Dr. Marc Timme, Ph.D.
• Subject Area: Statistical Physics, Nonlinear Dynamics, Complex Systems, Soft and Fluid Matter, Biological Physics
• Term: from 2011 to 2015
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 192648454

• Final Report Year: 2015

Final Report Abstract

We believe that the incorporation of mechanisms of nonadditivity represents a new direction of research in the physics and network science of neural systems, e.g. for exploring guided synchrony as well as promoting and exploiting oscillations. By example of oscillations emerging in hippocampus, we thereby also link local non-additive coupling and networkwide oscillations to a specific functional role (memory formation and recovery). On a side note, some of the theoretical tools we have developed in this work, in particular the effective description of statistical impingements of pulses in the presence of non-additivities and the newly uncovered potential of hub units to indirectly control signal propagation should also apply to broader settings beyond neuronal networks, e.g., in networks of interacting flashing fireflies or technical pulse-coupled systems.

Publications

• Guiding Synchrony Through Random Networks, Phys. Rev. X 2, 041016 (2012)
  S. Jahnke, M. Timme, and R.-M. Memmesheimer
  (See online at https://doi.org/10.1103/PhysRevX.2.041016)
• Propagating Synchrony in Feed-Forward Networks, Frontiers Comput. Neurosci. 7:153 (2013)
  S. Jahnke, R.M. Memmesheimer, and M. Timme
  (See online at https://doi.org/10.3389/fncom.2013.00153)
• Hub-activated signal transmission in complex networks, Phys. Rev. E (Rapid) 89:030701 (2014)
  S. Jahnke, R.M. Memmesheimer, and M. Timme
  (See online at https://doi.org/10.1103/PhysRevE.89.030701)
• Oscillation-Induced Signal Transmission and Gating in Neural Circuits, PLoS Comput. Biol. 10(12):1003940 (2014)
  S. Jahnke, R.M. Memmesheimer, and M. Timme
  (See online at https://doi.org/10.1371/journal.pcbi.1003940)
• Statistical Physics of Neural Systems with Nonadditive Dendritic Coupling, Phys. Rev. X 4, 011053 (2014)
  D. Breuer, M. Timme, and R.-M. Memmesheimer
  (See online at https://doi.org/10.1103/PhysRevX.4.011053)
• A Unified Dynamic Model for Learning, Replay, and Sharp-Wave/Ripples. Journal of Neuroscience 9 December 2015, 35 (49) 16236-16258
  S. Jahnke, M. Timme and R.M. Memmesheimer
  (See online at https://doi.org/10.1523/JNEUROSCI.3977-14.2015)