For plane-wave and many-spiral states of the experimentally bac;ed Luo-Rudy
1 model of heart tissue in large (8 cm square) domains, we show that a spa
ce-time-adaptive time-integration algorithm can achieve a factor of 5 reduc
tion in computational effort and memory - but without a reduction in accura
cy - when compared to an algorithm using a uniform space-time mesh at the f
inest resolution. Our results indicate that such an algorithm can be extend
ed straightforwardly to simulate quantitatively three-dimensional electrica
l dynamics over the whole human heart.