Maintaining phase of the crustacean tri-phasic pyloric rhythm

Document Type

Article

Publication Date

8-1-2008

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. © 2007 Springer-Verlag.

Identifier

43949128116 (Scopus)

Publication Title

Journal of Mathematical Biology

External Full Text Location

https://doi.org/10.1007/s00285-007-0150-2

e-ISSN

14321416

ISSN

03036812

PubMed ID

18084765

First Page

161

Last Page

181

Issue

2

Volume

57

Grant

0615168

Fund Ref

National Science Foundation

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