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Spiral waves are self-repeating waves that can form in excitable media,propagating outward from their center in a spiral pattern. Spiral waves havebeen observed in different natural phenomena and have been linked to medicalconditions such as epilepsy and atrial fibrillation. We used a simple cellularautomaton model to study propagation in excitable media, with a particularfocus in understanding spiral wave behavior. The main ingredients of thiscellular automaton model are an excitation condition and characteristicexcitation and refractory periods. The literature shows that fixed excitationand refractory periods together with specific initial conditions generatestationary and stable spiral waves. In the present work we allowed theactivation and refractory periods to fluctuate uniformly over a range ofvalues. Under these conditions formed spiral waves might drift, the wave frontmight break, and in some extreme cases it might lead to a complete breakdown ofthe spiral pattern.

Effects of randomization of characteristic times on spiral wave generation in a simple cellular automaton model of excitable media