ArticleJournal of mathematical biology2008
Maintaining phase of the crustacean tri-phasic pyloric rhythm.
Article in Journal of mathematical biology, 2008. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 14 papers.
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Who cites it
14 citing papers in PubMed.
- IeLife · 2024Article
- IbioRxiv : the preprint server for biology · 2024Article
- Thermal acclimation and habitat-dependent differences in temperature robustness of a crustacean motor circuit.Frontiers in cellular neuroscience · 2023Article
- Short-term synaptic dynamics control the activity phase of neurons in an oscillatory network.eLife · 2019Article
- Modulator-Gated, SUMOylation-Mediated, Activity-Dependent Regulation of Ionic Current Densities Contributes to Short-Term Activity Homeostasis.The Journal of neuroscience : the official journal of the Society for Neuroscience · 2019Article
- Phase-locking and bistability in neuronal networks with synaptic depression.Physica D. Nonlinear phenomena · 2018Article
- The complexity of small circuits: the stomatogastric nervous system.Current opinion in neurobiology · 2016Review
- Article
- The frequency preference of neurons and synapses in a recurrent oscillatory network.The Journal of neuroscience : the official journal of the Society for Neuroscience · 2014Article
- A codimension-2 bifurcation controlling endogenous bursting activity and pulse-triggered responses of a neuron model.PloS one · 2014Article
- Neuromodulator-evoked synaptic metaplasticity within a central pattern generator network.Journal of neurophysiology · 2012Article
- Precise temperature compensation of phase in a rhythmic motor pattern.PLoS biology · 2010Article
- A role for compromise: synaptic inhibition and electrical coupling interact to control phasing in the leech heartbeat CpG.Frontiers in behavioral neuroscience · 2010Article
- Article
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3 authors.
Funding
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.
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