First return maps for the dynamics of synaptically coupled conditional bursters

@article{Manica2010FirstRM,
  title={First return maps for the dynamics of synaptically coupled conditional bursters},
  author={Evandro Manica and Georgi S. Medvedev and Jonathan E. Rubin},
  journal={Biological Cybernetics},
  year={2010},
  volume={103},
  pages={87-104}
}
The pre-Bötzinger complex (preBötc) in the mammalian brainstem has an important role in generating respiratory rhythms. An influential differential equation model for the activity of individual neurons in the preBötc yields transitions from quiescence to bursting to tonic spiking as a parameter is varied. Further, past work has established that bursting dynamics can arise from a pair of tonic model cells coupled with synaptic excitation. In this paper, we analytically derive one- and two… CONTINUE READING

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