In a simple two-component model of excitable tissue a spiral wave is f
ound to break up into a large number of small spirals. More specifical
ly, we used a modified FitzHugh-Nagumo model. Spiral breakup is found
to occur when the recovery variable diffuses at a high rate. The break
up is caused by lateral instability of the wave front. We analyzed thi
s instability using quasi-one-dimensional computations and found that
it could be connected to a negative eikonal-curvature relation for the
parameter values at which spiral breakup occurs.