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

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