Effects of the Frequency Dependence of Phase Response Curves on Network Synchronization

  • Christian G. FinkEmail author
  • Victoria Booth
  • Michal Zochowski
Part of the Springer Series in Computational Neuroscience book series (NEUROSCI, volume 6)


Neuronal phase response curves (PRCs) generally fall into one of two classes. Type I PRCs exhibit exclusively phase advances and lead to decreased propensity for synchronization of excitatory networks, while Type II PRCs show regions of both phase delay and phase advance and better facilitate synchronization of excitatory networks. One little-investigated feature of neuronal PRCs is that they are attenuated as neuronal firing frequency increases. Interestingly, Type II PRCs often experience greater attenuation of their phase delay region compared to their phase advance region, while Type I PRCs typically show uniform attenuation of phase shifts. We simulate large-scale excitatory networks of Morris–Lecar neurons in order to investigate the effects of these phenomena upon network synchrony, and we show that they lead to Type I network synchrony increasing with increased frequency and Type II network synchrony decreasing with increased frequency.


Phase Delay Firing Frequency Synaptic Weight Phase Coherence Synaptic Current 
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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  • Christian G. Fink
    • 1
    Email author
  • Victoria Booth
    • 2
  • Michal Zochowski
    • 1
    • 3
  1. 1.Department of PhysicsUniversity of MichiganAnn ArborUSA
  2. 2.Departments of Mathematics and AnesthesiologyUniversity of MichiganAnn ArborUSA
  3. 3.Biophysics ProgramUniversity of MichiganAnn ArborUSA

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