Amplitude-Modulated Bursting: A Novel Class of Bursting Rhythms

Theodore Vo, Mark A. Kramer, Tasso J. Kaper

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21 Citations (Scopus)


We report on the discovery of a novel class of bursting rhythms, called amplitude-modulated bursting (AMB), in a model for intracellular calcium dynamics. We find that these rhythms are robust and exist on open parameter sets. We develop a new mathematical framework with broad applicability to detect, classify, and rigorously analyze AMB. Here we illustrate this framework in the context of AMB in a model of intracellular calcium dynamics. In the process, we discover a novel family of singularities, called toral folded singularities, which are the organizing centers for the amplitude modulation and exist generically in slow-fast systems with two or more slow variables.

Original languageEnglish
Article number268101
Number of pages5
JournalPhysical Review Letters
Issue number26
Publication statusPublished - 23 Dec 2016
Externally publishedYes

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