A Mathematical Model of the Vagally Driven SA Nodal Pacemaker

Document Type

Article

Publication Date

5-1976

Department

Engineering & Computing Sciences

Abstract

A model is developed for the vagal control of SA nodal activity in the heart and consists essentially of a modified Bonhoeffer-Van der Pol (BVP) model of the "free-running'' SA node and a lumped model of the neural terminations in that region. The model is capable of mimicking both the driven transient behavior of the node in terms of pacemaker and inhibition curves, as well as steady-state entrainment phenomena. The model data also agree very well with experimental data from dog experiments performed in our laboratory. The model is described by a set of nonlinear, third-order, ordinary differential equations and provides a relatively uncomplicated functional model of heart period changes due to vagal stimulation patterns.

DOI

10.1109/TBME.1976.324630

First Page

192

Last Page

199

Publication Title

IEEE Transactions on Biomedical Engineering

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