Maintaining phase of the crustacean tri-phasic pyloric rhythm

Christina Mouser, Farzan Nadim, Amitabha Bose

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

We construct and analyze a model network of the pyloric rhythm of the crustacean stomatogastric ganglion consisting of an oscillator neuron that inhibits two reciprocally inhibitory follower neurons. We derive analytic expressions that determine the phase of firing of the follower neurons with respect to the oscillator. An important aspect of the model is the inclusion of synapses that exhibit short-term synaptic depression. We show that these type of synapses allow there to be a complicated relationship between the intrinsic properties of the neurons and the synapses between them in determining phase relationships. Our analysis reveals the circumstances and ranges of cycle periods under which these properties work in concert with or independently from one another. In particular, we show that phase maintenance over a range of oscillator periods can be enhanced through the interplay of the two follower neurons if the synapses between these neurons are depressing. Since our model represents the core of the oscillatory pyloric network, the results of our analysis can be compared to experimental data and used to make predictions about the biological network.

Original languageEnglish (US)
Pages (from-to)161-181
Number of pages21
JournalJournal of Mathematical Biology
Volume57
Issue number2
DOIs
StatePublished - Aug 2008

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Agricultural and Biological Sciences (miscellaneous)
  • Applied Mathematics

Keywords

  • Central pattern generator
  • Oscillator
  • Phase plane
  • Synaptic depression

Fingerprint

Dive into the research topics of 'Maintaining phase of the crustacean tri-phasic pyloric rhythm'. Together they form a unique fingerprint.

Cite this