Aliev & Panfilov 1996

Key: aliev1996simple

This simple two-variable model was created by modifying the model by FitzHugh & Nagumo to describe cardiac excitation waves. It models restitution of action potential duration, i.e., its dependence on cycle length. It was originally designed for canine ventricles, but is considered a phenomenological model.

References

  1. https://doi.org/10.1016/0960-0779(95)00089-5

Figure

Figure illustrating the Aliev & Panfilov 1996 model.

Variables

  1. u = 0.0

  2. v = 0.0

Parameters

  • diffusivity_u = 1.0

  • eps0 = 0.002

  • mu1 = 0.2

  • mu2 = 0.3

  • a = 0.15

  • k = 8.0

Source code

OpenCL kernel
const Real eps = eps0 + mu1 * v / (u + mu2);
const Real _react_u = -k * u * (u - a) * (u - 1.0) - u * v;
const Real _react_v = eps * (-v - k * u * (u - a - 1.0));
*_new_u = u + dt * (_react_u + _diffuse_u);
*_new_v = v + dt * _react_v;

Additional metadata

keywords:
- excitable media
- electrophysiology
- heart
- phenomenological
example discretisation:
  dt: 0.023
  dx: 0.43
  stimulus: 0.22
units:
  t: 1
  x: 1
  u: 1