Barkley 1991

Key: barkley1991model

This early phenomenological model of excitable media is one of the simplest models describing both excitation and recovery enabling spiral waves.

References

1. https://doi.org/10.1016/0167-2789(91)90194-E

Figure

Variables

0. u = 0.0

1. v = 0.0

Parameters

• diffusivity_u = 1.0

• diffusivity_v = 0.0

• a = 0.75

• b = 0.02

• eps = 0.02

Source code

OpenCL kernel

const Real _react_u = u*(1 - u)*(u - (v + b)/a)/eps;
const Real _react_v = u - v;
*_new_u = u + dt * (_react_u + _diffuse_u);
*_new_v = v + dt * (_react_v + _diffuse_v);

Additional metadata

keywords:
- excitable media
- phenomenological
example discretisation:
  dt: 0.002
  dx: 0.2
  stimulus: 1.0
units:
  t: 1
  x: 1
  u: 1