Vagal entrainment of heart rate in simulated by an integrator with feedback

A. R. Bath, S. L. Cloherty, S. Dokos, B. G. Celler, N. H. Lovell

Research output: Contribution to journalArticleResearchpeer-review


Paradoxical stable entrainment of heart rate to inhibitory impulses can be simulated with two distinct mathematical models; a complex ionic current model of sinoartrial node pacemaker activity, as well as a simple integrator with non-linear feedback. We show that both models exhibit similar entrainment characteristics to repetitive vagal stimuli. By applying a sharp disturbance to each model whilst entrained, the subsequent path of cycle length recovery can be described by dynamic phase response curves and phase-phase plots, the properties of which dictate whether stable entrainment is possible.

Original languageEnglish
Pages (from-to)86-94
Number of pages9
JournalAustralasian Physical and Engineering Sciences in Medicine
Issue number2
Publication statusPublished - 1 Jan 2001
Externally publishedYes


  • Entrainment
  • Modelling
  • Sinoatrial node
  • Vagal stimulus

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