In present work the Ukrainian National Grid (UNG) infrastructure was applied for investigation of synchronization in large networks of interacting neurons. This application is important for solving of modern neuroscience problems related to mechanisms of nervous system activities (memory, cognition etc.) and nervous pathologies (epilepsy, Parkinsonism, etc.). Modern non-linear dynamics theories and applications provides powerful basis for computer simulations of biological neuronal networks and investigation of phenomena which mechanisms hardly could be clarified by other approaches. Cubic millimeter of brain tissue contains about 105 neurons, so realistic (Hodgkin-Huxley model) and phenomenological (Kuramoto-Sakaguchi, FitzHugh-Nagumo, etc. models) simulations require consideration of large neurons numbers.