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

doi:10.1007/BF03178351

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 journal › Article › Research › peer-review

Abstract

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 language	English
Pages (from-to)	86-94
Number of pages	9
Journal	Australasian Physical and Engineering Sciences in Medicine
Volume	24
Issue number	2
DOIs	https://doi.org/10.1007/BF03178351
Publication status	Published - 1 Jan 2001
Externally published	Yes

Keywords

Entrainment
Modelling
Sinoatrial node
Vagal stimulus

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10.1007/BF03178351

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AU - Lovell, N. H.

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AB - 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.

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KW - Modelling

KW - Sinoatrial node

KW - Vagal stimulus

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

Abstract

Keywords

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