On the probability of ventricular fibrillation due to electric shock

Authors

  • Geoffrey Pritchard Statistics, University of Auckland
  • Glen Livingston Jr
  • Riya Aggarwal
  • Ian Griffiths
  • Hamish Waterer
  • Mike Meylan
  • James Juniper

DOI:

https://doi.org/10.21914/anziamj.v62.15969

Keywords:

fibrillation, body impedance, electric shock

Abstract

When exposed to a specified electrical shock, the
probability that a randomly chosen individual will undergo
fatal ventricular fibrillation can be regarded as a function
of random variation in the human population along two
dimensions. The first dimension is the individual's body
impedance characteristic: for this, we introduce a new
two-parameter model that improves on the simpler
one-parameter model used in previous work. The second
dimension is the individual's current tolerance: we codify
some curves used in previous practice. We also consider
methods of solving the resulting shock circuit and show that
the fixed-point iteration method can give incorrect results.

Published

2022-07-16

Issue

Section

Proceedings of the Mathematics in Industry Study Group