The dynamics of three-dimensional scroll rings with spatiotemporal random e
xcitability is investigated numerically using the FitzHugh-Nagumo model. De
pending on the correlation time and length scales of the fluctuations, the
lifetime of the ring filament is enlarged and a resonance effect between th
e time scale of the scroll ring and the time correlation of the noise is ob
served. Numerical results are interpreted in terms of a simplified stochast
ic model derived from the kinematical equations for three-dimensional excit
able waves.