ArticleJournal of biological physics2011
Inferring and quantifying the role of an intrinsic current in a mechanism for a half-center bursting oscillation: A dominant scale and hybrid dynamical systems analysis.
Article in Journal of biological physics, 2011. The graph could read no effect estimate from its abstract, so it casts no vote on the map. An erratum has been issued. Cited by 7 papers.
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Who cites it
7 citing papers in PubMed.
- Dynamics of antiphase bursting modulated by the inhibitory synaptic and hyperpolarization-activated cation currents.Frontiers in computational neuroscience · 2024Article
- A Single Central Pattern Generator for the Control of a Locomotor Rolling Wave in MolluscResearch (Washington, D.C.) · 2023Article
- The role of phase shifts of sensory inputs in walking revealed by means of phase reduction.Journal of computational neuroscience · 2018Article
- Robust phase-waves in chains of half-center oscillators.Journal of mathematical biology · 2017Article
- Determining the contributions of divisive and subtractive feedback in the Hodgkin-Huxley model.Journal of computational neuroscience · 2014Article
- Phase response properties of half-center oscillators.Journal of computational neuroscience · 2013Article
- Hybrid models and biological model reduction with PyDSTool.PLoS computational biology · 2012Article
Corrections and comments
- Erratum issued
Authors and funding
1 author.
Funding
No grant is acknowledged in the PubMed record.
Abstract
This paper illustrates an informatic technique for inferring and quantifying the dynamic role of a single intrinsic current in a mechanism of neural bursting activity. We analyze the patterns of the most dominant currents in a model of half-center oscillation in the leech heartbeat central pattern generator. We find that the patterns of dominance change substantially over a cycle, allowing different local reductions to be applied to the model. The result is a hybrid dynamical systems model, which is a piecewise representation of the mechanism combining multiple vector fields and discrete state changes. The simulation of such a model tests explicit hypotheses about the mechanism and is a novel way to retain both mathematical clarity and scientific detail in answering mechanistic questions about a complex model. Several insights into the central mechanism of "escape-release" in the model are elucidated by this analysis and compared with previous studies. The broader application and extension of this technique is also discussed.
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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.