  Pair-annihilation events are ubiquitous in a variety of spatially extended
systems and are often studied using computationally expensive simulations. Here
we develop an approach in which we simulate the pair-annihilation of spiral
wave tips in cardiac models using a computationally efficient particle model.
Spiral wave tips are represented as particles with dynamics governed by
diffusive behavior and short-ranged attraction. The parameters for diffusion
and attraction are obtained by comparing particle motion to the trajectories of
spiral wave tips in cardiac models during spiral defect chaos. The particle
model reproduces the annihilation rates of the cardiac models and can determine
the statistics of spiral wave dynamics, including its mean termination time. We
show that increasing the attraction coefficient sharply decreases the mean
termination time, making it a possible target for pharmaceutical intervention
