Journal article
Timescales and Mechanisms of Sigh-Like Bursting and Spiking in Models of Rhythmic Respiratory Neurons
Journal of mathematical neuroscience, Vol.7(1), pp.3-3
12/2017
DOI: 10.1186/s13408-017-0045-5
PMCID: PMC5461246
PMID: 28589465
Abstract
Neural networks generate a variety of rhythmic activity patterns, often involving different timescales. One example arises in the respiratory network in the pre-Bötzinger complex of the mammalian brainstem, which can generate the eupneic rhythm associated with normal respiration as well as recurrent low-frequency, large-amplitude bursts associated with sighing. Two competing hypotheses have been proposed to explain sigh generation: the recruitment of a neuronal population distinct from the eupneic rhythm-generating subpopulation or the reconfiguration of activity within a single population. Here, we consider two recent computational models, one of which represents each of the hypotheses. We use methods of dynamical systems theory, such as fast-slow decomposition, averaging, and bifurcation analysis, to understand the multiple-timescale mechanisms underlying sigh generation in each model. In the course of our analysis, we discover that a third timescale is required to generate sighs in both models. Furthermore, we identify the similarities of the underlying mechanisms in the two models and the aspects in which they differ.
Details
- Title: Subtitle
- Timescales and Mechanisms of Sigh-Like Bursting and Spiking in Models of Rhythmic Respiratory Neurons
- Creators
- Yangyang Wang - Mathematical Biosciences Institute, Ohio State University, Jennings Hall 3rd Floor, 1735 Neil Ave., Columbus, 43210, USA. wang.9737@mbi.osu.eduJonathan E Rubin - Department of Mathematics, University of Pittsburgh, 301 Thackeray Hall, Pittsburgh, 15260, USA
- Resource Type
- Journal article
- Publication Details
- Journal of mathematical neuroscience, Vol.7(1), pp.3-3
- DOI
- 10.1186/s13408-017-0045-5
- PMID
- 28589465
- PMCID
- PMC5461246
- NLM abbreviation
- J Math Neurosci
- ISSN
- 2190-8567
- eISSN
- 2190-8567
- Publisher
- Germany
- Grant note
- DOI: 10.13039/100000001, name: National Science Foundation, award: DMS 1312508 and DMS 1612913
- Language
- English
- Date published
- 12/2017
- Academic Unit
- Iowa Neuroscience Institute; Mathematics
- Record Identifier
- 9984065366902771
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