Casacuberta, CarlesFerrà Marcús, AinaGuich Estévez, Joan2022-10-172022-10-172022-06-13https://hdl.handle.net/2445/189944Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2022, Director: Carles Casacuberta i Aina Ferrà Marcús[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.70 p.application/pdfengcc-by-nc-nd (c) Joan Guich Estévez, 2022http://creativecommons.org/licenses/by-nc-nd/3.0/es/HomologiaTreballs de fi de grauTeoria de l'homotopiaEstadística mèdicaTopologia algebraicaGeometria computacionalHomologyBachelor's thesesHomotopy theoryMedical statisticsAlgebraic topologyComputational geometryinfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/openAccess