Revealing brain network dynamics during the emotional state of suspense using topological data analysis

Mapper graph


In my master's thesis , supervised by Professors Francisco Gomez and Jose Perea we applied a tool from Topological Data Analysis (TDA) Mapper , to find the relation of brain dynamics and suspense. As result, we found changes in the functional connectivity within and between large-scale networks associated with the level of suspense. See Papers for the preprint version.

Persistent Homology for clusterization of RNA secondary structures

persistent homology animation

As part of my bachelor's thesis I worked with Professors Gustavo Rubiano and Clara Bermudez applying persistent homology to cluster RNA secondary structures. We interpreted the 0-homology classes (connected-components) as clusters, resulting a method comparable to hierarchical clustering.