ArticleInternational scholarly research notices2017
A Consistent Definition of Phase Resetting Using Hilbert Transform.
Article in International scholarly research notices, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 6 papers.
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Who cites it
6 citing papers in PubMed.
- Phase-dependence of response curves to deep brain stimulation and their relationship: from essential tremor patient data to a Wilson-Cowan model.Journal of mathematical neuroscience · 2020Article
- Hilbert transform-based time-series analysis of the circadian gene regulatory network.IET systems biology · 2019Article
- What is Phase in Cellular Clocks?The Yale journal of biology and medicine · 2019Article
- Dopamine receptor antagonists effects on low-dimensional attractors of local field potentials in optogenetic mice.PloS one · 2019Article
- Cocaine-Induced Changes in Low-Dimensional Attractors of Local Field Potentials in Optogenetic Mice.Frontiers in computational neuroscience · 2018Article
- Dissociation of the G protein βγ from the Gq-PLCβ complex partially attenuates PIP2 hydrolysis.The Journal of biological chemistryArticle
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Authors and funding
1 author.
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Abstract
A phase resetting curve (PRC) measures the transient change in the phase of a neural oscillator subject to an external perturbation. The PRC encapsulates the dynamical response of a neural oscillator and, as a result, it is often used for predicting phase-locked modes in neural networks. While phase is a fundamental concept, it has multiple definitions that may lead to contradictory results. We used the Hilbert Transform (HT) to define the phase of the membrane potential oscillations and HT amplitude to estimate the PRC of a single neural oscillator. We found that HT's amplitude and its corresponding instantaneous frequency are very sensitive to membrane potential perturbations. We also found that the phase shift of HT amplitude between the pre- and poststimulus cycles gives an accurate estimate of the PRC. Moreover, HT phase does not suffer from the shortcomings of voltage threshold or isochrone methods and, as a result, gives accurate and reliable estimations of phase resetting.
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Registered trials
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