Visual Analytics of Global Parameters in Simulation Ensembles of ODE-based Excitable Network Dynamics

Abstract. The role of network topology on the dynamics in simulations that are executed on the network is a central question in the field of network science. However, the influence of the topology is affected by the global dynamical simulation parameters. To investigate this impact of the parameter settings, multiple simulation runs are executed with different settings. Moreover, since the outcome of a single simulation run also depends on the randomly chosen start configurations, multiple runs with the same settings are carried out, as well. We present a visual approach to analyze the role of topology in such an ensemble of simulation ensembles. We use the dynamics of an excitable network implemented in the form of a coupled ordinary differential equation (ODE) following the FitzHugh-Nagumo (FHN) model and modular network topologies.