The effects of varying the timing of inputs on a neural oscillator

Christina Ambrosio-Mouser, Farzan Nadim, Amitabha Bose

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

The gastric mill network of the crab Cancer borealis is an oscillatory neural network with frequency ∼ 0.1 Hz. Oscillations in this network require neuromodulatory synaptic inputs as well as rhythmic inputs from the faster (∼ 1 Hz) pyloric neural oscillator. We study how the frequency of the gastric mill network is determined when it receives rhythmic input from two different sources but where the timing of these inputs may differ. We find that over a certain range of the time difference one of the two rhythmic inputs plays no role what so ever in determining the network frequency, while in another range, both inputs work together to determine the frequency. The existence and stability of periodic solutions to model sets of equations are obtained analytically using geometric singular perturbation theory. The results are validated through numerical simulations. Comparisons to experiments are also presented.

Original languageEnglish (US)
Pages (from-to)108-139
Number of pages32
JournalSIAM Journal on Applied Dynamical Systems
Volume5
Issue number1
DOIs
StatePublished - 2006

All Science Journal Classification (ASJC) codes

  • Analysis
  • Modeling and Simulation

Keywords

  • Periodic orbit
  • Poincaré map
  • Stomatogastric ganglion
  • Synapse

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