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Computational modeling of cooperative dynamics in excitable systems is important for uncovering mechanisms that underlie perturbation propagation in the nervous system. In this dissertation, two spatially extended networks of FitzHughNagumo neurons operating in the subexcitable and hyperexcitable regime are studied by computational methods, leading to two key conclusions. First, the length and speed of perturbation propagation in the subexcitable FitzHughNagumo system is maximized by spatiotemporal noise of optimal intensity. This indicates that random fluctuations in neuronal excitability can enhance perturbation propagation in the nervous system. Second, defining novel measures to characterize the synchronization of hyperexcitable FitzHughNagumo oscillator networks for various strengths of phase attractive and phaserepulsive coupling, significant differences in calcium dynamics can be shown between astrocyte cultures originating from epileptic and normal brain tissue.
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