Mathematical-Computational Modeling in Behavior’s Study of Repetitive Discharge Neuronal Circuits

Mathematical-computational modeling is a tool that has been widely used in the field of Neuroscience. Despite considerable advances of Physiological Sciences, the neuronal mechanisms involved in the abilities of central nervous system remain obscure, but they can be revealed through modeling. Significant amount of experimental data already available has facilitated the development of models that combine experimentation with theory. They allow to evaluate hypotheses and to seek understanding of neuronal circuit functioning capable of explaining neurophysiological deficits. To model the behavior of repetitive discharge of neuronal circuits, we have used differential equations, graph theory, and other mathematical methods. Through computational simulations, using programs developed in C and C ++ language and neurophysiological data obtained in the literature, we can test the model’s behavior in face of numerical variations of their parameters, trying to observe their characteristics.