A new fully adaptive multiresolution method is applied
for the simulation of the complex dynamics of waves in
excitable media in electrocardiology, where the membrane
kinetics are given by the Alievâeuro"Panfilov or Luoâeuro"Rudy II
models. Numerical experiments show that the automatic
adaptation strategy tracks the spatio-temporal pattern
accurately at a substantially reduced computational cost
if compared with fine-grid simulations. The nonlinear
dynamics of complex multiscale patterns can thus be
computed efficiently, also in the chaotic and turbulent
regime which are currently beyond the frontiers of
methods using regular discretizations.