Influence of Delayed Conductance on Neuronal Synchronization

Paulo R. Protachevicz, Fernando S. Borges, Kelly C. Iarosz*, Murilo S. Baptista, Ewandson L. Lameu, Matheus Hansen, Iberê L. Caldas, José D. Szezech, Antonio M. Batista, Jürgen Kurths

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)
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In the brain, the excitation-inhibition balance prevents abnormal synchronous behavior. However, known synaptic conductance intensity can be insufficient to account for the undesired synchronization. Due to this fact, we consider time delay in excitatory and inhibitory conductances and study its effect on the neuronal synchronization. In this work, we build a neuronal network composed of adaptive integrate-and-fire neurons coupled by means of delayed conductances. We observe that the time delay in the excitatory and inhibitory conductivities can alter both the state of the collective behavior (synchronous or desynchronous) and its type (spike or burst). For the weak coupling regime, we find that synchronization appears associated with neurons behaving with extremes highest and lowest mean firing frequency, in contrast to when desynchronization is present when neurons do not exhibit extreme values for the firing frequency. Synchronization can also be characterized by neurons presenting either the highest or the lowest levels in the mean synaptic current. For the strong coupling, synchronous burst activities can occur for delays in the inhibitory conductivity. For approximately equal-length delays in the excitatory and inhibitory conductances, desynchronous spikes activities are identified for both weak and strong coupling regimes. Therefore, our results show that not only the conductance intensity, but also short delays in the inhibitory conductance are relevant to avoid abnormal neuronal synchronization.

Original languageEnglish
Article number1053
Number of pages9
JournalFrontiers in Physiology
Publication statusPublished - 3 Sept 2020

Bibliographical note

This study was possible by partial financial support from the following Brazilian government agencies: Fundação Araucária, National Council for Scientific and Technological Development (CNPq) (302665/2017-0, 310124/2017-4, 428388/2018-3, 150153/2019-8), Coordenação de Aperfeiçoamento de Pessoal de Nível Superior-Brasil (CAPES) (Finance Code No. 001), and São Paulo Research Foundation (FAPESP) (2015/07311-7, 2015/50122-0, 2016/23398-8, 2017/18977-1, 2018/03211-6, 2020/04624-2). We also wish to thank the Newton Fund and IRTG 1740/TRP 2015/50122-0, funded by the DFG/FAPESP and the project RF Goverment Grant 075-15-2019-1885.


  • conductance
  • integrate-and-fire
  • neuronal network
  • synchronization
  • time delay


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