ArticlePloS one2014
Key bifurcations of bursting polyrhythms in 3-cell central pattern generators.
Article in PloS one, 2014. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 9 papers.
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Who cites it
9 citing papers in PubMed.
- Error Function Optimization to Compare Neural Activity and Train Blended Rhythmic Networks.Brain sciences · 2024Article
- Pairing cellular and synaptic dynamics into building blocks of rhythmic neural circuits. A tutorial.Frontiers in network physiology · 2024Article
- Dual Mechanism for the Emergence of Synchronization in Inhibitory Neural Networks.Scientific reports · 2018Article
- Bifurcations of Limit Cycles in a Reduced Model of the Xenopus Tadpole Central Pattern Generator.Journal of mathematical neuroscience · 2018Article
- When two wrongs make a right: synchronized neuronal bursting from combined electrical and inhibitory coupling.Philosophical transactions. Series A, Mathematical, physical, and engineering sciences · 2017Article
- Asymmetry Factors Shaping Regular and Irregular Bursting Rhythms in Central Pattern Generators.Frontiers in computational neuroscience · 2017Article
- Mathematical Frameworks for Oscillatory Network Dynamics in Neuroscience.Journal of mathematical neuroscience · 2016Article
- Linking dynamics of the inhibitory network to the input structure.Journal of computational neuroscience · 2016Article
- Control strategies of 3-cell Central Pattern Generator via global stimuli.Scientific reports · 2016Article
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Authors and funding
4 authors.
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Abstract
We identify and describe the key qualitative rhythmic states in various 3-cell network motifs of a multifunctional central pattern generator (CPG). Such CPGs are neural microcircuits of cells whose synergetic interactions produce multiple states with distinct phase-locked patterns of bursting activity. To study biologically plausible CPG models, we develop a suite of computational tools that reduce the problem of stability and existence of rhythmic patterns in networks to the bifurcation analysis of fixed points and invariant curves of a Poincaré return maps for phase lags between cells. We explore different functional possibilities for motifs involving symmetry breaking and heterogeneity. This is achieved by varying coupling properties of the synapses between the cells and studying the qualitative changes in the structure of the corresponding return maps. Our findings provide a systematic basis for understanding plausible biophysical mechanisms for the regulation of rhythmic patterns generated by various CPGs in the context of motor control such as gait-switching in locomotion. Our analysis does not require knowledge of the equations modeling the system and provides a powerful qualitative approach to studying detailed models of rhythmic behavior. Thus, our approach is applicable to a wide range of biological phenomena beyond motor control.
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