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Stochastic processes at values in graphs induced by interacting neurons systems: a model for functional brain activity

Grant number: 15/11578-9
Support type:Scholarships in Brazil - Post-Doctorate
Effective date (Start): September 01, 2015
Effective date (End): November 30, 2015
Field of knowledge:Physical Sciences and Mathematics - Probability and Statistics - Probability
Principal researcher:Pablo Augusto Ferrari
Grantee:Guilherme Ost de Aguiar
Home Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Associated research grant:13/07699-0 - Research, Innovation and Dissemination Center for Neuromathematics - NeuroMat, AP.CEPID


The traffic between neuronal structures, during behavior or even at rest, creates and reshapes continuously complex functional networks of correlated dynamics. The understanding of how these spatio-temporal patterns of brain activity evolve alongtime has been at the core of the modern neuroscience and has been investigated, in diverse experimental modalities, usually through graph theoretical tools. The goal of this research project is to develop a new paradigm for accounting for functional brainnetworks observed in experimental data in neuroscience. Specifically, we address the statistical model selection problem for functional brain activity data. In order to do so, we introduce a new class of models, the graph-valued stochastic processes,propose a theoretical study of its mean features and finally pursue a consistent statistical procedure to select a member of this class.

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