Computer Simulation, Numerical Bifurcation Analysis and Control of Neuronal Dynamics on Complex Networks: A Computational Framework for the Study of Brain Neurological Disorders

The aim of the project was the financial support of a PhD Thesis on the development and implementation of modern computational methods in order to better understand the dynamics of cognitive processes, to systematically search the mechanisms and topological structures that pertain to the emergent functionality and connectivity of cognitive processes and ultimately the appearance of neurological dysfunctions. To achieve that goal the project had three directions: (a) development of mathematical models starting from the microscopic level, based on the physiology of the neurons for an effective approach of the dynamic behavior of cognitive and pathological situations, (b) development of computational methods for the systematic coarse-grained analysis of the dynamics of the microscopic models and data mining methods for the localization of the mechanisms that define the appearance of cognition and the related dysfunctions, (c) the development of methods that can be used for control purposes. The goal is the development of a complete computational multi-scale data-driven framework that will set the basis for the better understanding and the analysis of certain important problems in computational neuroscience