Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/189944
Title: | An application of the Mapper algorithm to resynchronization in a model of non-ischaemic cardiomyopathy |
Author: | Guich Estévez, Joan |
Director/Tutor: | Casacuberta, Carles Ferrà Marcús, Aina |
Keywords: | Homologia Treballs de fi de grau Teoria de l'homotopia Estadística mèdica Topologia algebraica Geometria computacional Homology Bachelor's theses Homotopy theory Medical statistics Algebraic topology Computational geometry |
Issue Date: | 13-Jun-2022 |
Abstract: | [en] Mapper is one of the principal tools in topological data analysis (TDA) that enables studying topological features of high-dimensional datasets. Many studies from different fields, such as medicine and sports, have recently applied the Mapper algorithm to extract outstanding information from data. In this work, our goal is to substantiate the conclusions from Comparison between endocardial and epicardial cardiac resynchronization in an experimental model of nonischaemic cardiomyopathy study. In particular, we look for the optimal heart region where cardiac resynchronisation therapy offers a better result. Even though the core of the study is practical, we also profoundly study the theory behind the Mapper algorithm and the statistical methods we apply throughout the process. |
Note: | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2022, Director: Carles Casacuberta i Aina Ferrà Marcús |
URI: | http://hdl.handle.net/2445/189944 |
Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
tfg_guich_estevez_Joan.pdf | Memòria | 4.57 MB | Adobe PDF | View/Open |
This item is licensed under a Creative Commons License