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Analysis of an autonomous phase model for neuronal parabolic bursting

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Publication:1345891
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zbMath0812.92006MaRDI QIDQ1345891

John Rinzel, Humberto Carrillo, Steven M. Baer

Publication date: 19 March 1995

Published in: Journal of Mathematical Biology (Search for Journal in Brave)


zbMATH Keywords

spikingbursting oscillationsexcitable membranebistability of solutionsendogeneous parabolic burstingformal averagingone-variable phase equationquasi steady-state assumptions


Mathematics Subject Classification ID

Neural biology (92C20) Biophysics (92C05) Qualitative theory for ordinary differential equations (34C99)


Related Items (5)

Spike-adding in parabolic bursters: the role of folded-saddle canards ⋮ Multi-timescale systems and fast-slow analysis ⋮ Modeling triggered cardiac activity: An analysis of the interactions between potassium blockade, rhythm pauses, and cellular coupling ⋮ Dynamic and geometric analysis of short time series: a new comparative approach to cell-based biosensors ⋮ Parabolic bursting, spike-adding, dips and slices in a minimal model




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