Journal article
Multiple timescale mixed bursting dynamics in a respiratory neuron model
Journal of computational neuroscience, Vol.41(3), pp.245-268
12/2016
DOI: 10.1007/s10827-016-0616-6
PMID: 27491968
Abstract
Experimental results in rodent medullary slices containing the pre-Bötzinger complex (pre-BötC) have identified multiple bursting mechanisms based on persistent sodium current (I
NaP) and intracellular Ca2+. The classic two-timescale approach to the analysis of pre-BötC bursting treats the inactivation of I
NaP, the calcium concentration, as well as the Ca2+-dependent inactivation of IP
3 as slow variables and considers other evolving quantities as fast variables. Based on its time course, however, it appears that a novel mixed bursting (MB) solution, observed both in recordings and in model pre-BötC neurons, involves at least three timescales. In this work, we consider a single-compartment model of a pre-BötC inspiratory neuron that can exhibit both I
NaP and Ca2+ oscillations and has the ability to produce MB solutions. We use methods of dynamical systems theory, such as phase plane analysis, fast-slow decomposition, and bifurcation analysis, to better understand the mechanisms underlying the MB solution pattern. Rather surprisingly, we discover that a third timescale is not actually required to generate mixed bursting solutions. Through our analysis of timescales, we also elucidate how the pre-BötC neuron model can be tuned to improve the robustness of the MB solution.
Details
- Title: Subtitle
- Multiple timescale mixed bursting dynamics in a respiratory neuron model
- Creators
- Yangyang Wang - Department of Mathematics University of Pittsburgh 301 Thackeray Hall Pittsburgh PA 15260 USAJonathan Rubin - Department of Mathematics University of Pittsburgh 301 Thackeray Hall Pittsburgh PA 15260 USA
- Resource Type
- Journal article
- Publication Details
- Journal of computational neuroscience, Vol.41(3), pp.245-268
- Publisher
- Springer US; New York
- DOI
- 10.1007/s10827-016-0616-6
- PMID
- 27491968
- ISSN
- 0929-5313
- eISSN
- 1573-6873
- Grant note
- DMS 1312508; DMS 1516288 / National Science Foundation (http://dx.doi.org/10.13039/100000001)
- Language
- English
- Date published
- 12/2016
- Academic Unit
- Iowa Neuroscience Institute; Mathematics
- Record Identifier
- 9984065465602771
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