Inferring and quantifying the role of an intrinsic current in a mechanism for a half-center bursting oscillation
- 17 March 2011
- journal article
- research article
- Published by Springer Science and Business Media LLC in Journal of Biological Physics
- Vol. 37 (3), 285-306
- https://doi.org/10.1007/s10867-011-9220-1
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.Keywords
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