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Simulación computacional de dinámica de fluidos para el análisis hemodinámico de la enfermedad coronaria

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dc.contributor.advisorGuerrero Vargas, José Alejandro
dc.creatorZuluaga Patiño, Juan José
dc.creator.degreeProfesional en Matemáticas Aplicadas y Ciencias de la Computación
dc.creator.degreeLevelPregrado
dc.date.accessioned2026-06-30T14:17:06Z
dc.date.available2026-06-30T14:17:06Z
dc.date.created2026-06-18
dc.descriptionEsta investigación desarrolló un modelo computacional basado en dinámica de fluidos para el análisis hemodinámico de la enfermedad arterial coronaria, caracterizando el impacto de la morfología de la estenosis y la fisiología microvascular sobre índices diagnósticos como la reserva fraccional de flujo (FFR). Se implementó un solver para las ecuaciones de Navier-Stokes, mediante elementos finitos de igual orden, estabilizado con términos SUPG/PSPG/LSIC y penalización de backflow, utilizando FEniCSx y PETSc para la resolución paralela. El modelo se validó con benchmarks estándar. Las geometrías arteriales parametrizadas, con estenosis de severidad y pendiente variables, se acoplaron a árboles microvasculares sintéticos generados según la ley de Murray. Los resultados mostraron que un modelo de ecuaciones estructurales que integra la reducción de área relativa y la severidad de la estenosis predice el FFR con R2 = 0.85, mientras que la resistencia microvascular no mostró una correlación significativa (p = 0.98), explicando menos del 0.01 % de su varianza. Se identificaron zonas de bajo esfuerzo cortante (< 4 dyn/cm2) en regiones post-estenóticas y bifurcaciones, condiciones pro-aterogénicas. Se concluye que bajo las condiciones evaluadas el FFR está dominado por la geometría de la estenosis, y que la caracterización morfológica cuantitativa proporciona una base para modelos predictivos del diagnóstico funcional.
dc.description.abstractThis research developed a computational model based on fluid dynamics for the hemodynamic analysis of coronary artery disease, characterizing the impact of stenosis morphology and microvascular physiology on diagnostic indices such as fractional flow reserve (FFR). A solver for the Navier-Stokes equations was implemented using equal-order finite elements, stabilized with SUPG/PSPG/LSIC terms and backflow penalization, employing FEniCSx and PETSc for parallel solving. The model was validated against standard benchmarks. Parameterized arterial geometries, with variable stenosis severity and slope, were coupled to synthetic microvascular trees generated according to Murray’s law. Results showed that a structural equation model integrating relative area reduction and stenosis severity predicts FFR with R2 = 0.85, while microvascular resistance showed no significant correlation (p = 0.98), explaining less than 0.01% of its variance. Low wall shear stress zones (< 4 dyn/cm2) were identified in post-stenotic regions and bifurcations, pro-atherogenic conditions. It is concluded that under the studied conditions FFR is dominated by stenosis geometry under maximal hyperemia, and that quantitative morphological characterization provides a basis for predictive models of functional diagnosis.
dc.format.extent68 pp
dc.format.mimetypeapplication/pdf
dc.identifier.doihttps://doi.org/10.48713/10336_47992
dc.identifier.urihttps://repository.urosario.edu.co/handle/10336/47992
dc.language.isospa
dc.publisherUniversidad del Rosario
dc.publisher.departmentEscuela de Ciencias e Ingeniería
dc.publisher.programPrograma de Matemáticas Aplicadas y Ciencias de la Computación - MACC
dc.rightsAttribution 4.0 International*
dc.rights.accesRightsinfo:eu-repo/semantics/openAccess
dc.rights.accesoAbierto (Texto Completo)
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
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dc.source.instnameinstname:Universidad del Rosario
dc.source.reponamereponame:Repositorio Institucional EdocUR
dc.subjectSimulación hemodinámica
dc.subjectReserva fraccional de flujo
dc.subjectEnfermedad arterial coronaria
dc.subjectDinámica de fluidos computacional
dc.subject.keywordHemodynamic simulation
dc.subject.keywordFractional flow reserve
dc.subject.keywordCoronary artery disease
dc.subject.keywordComputational fluid dynamics
dc.titleSimulación computacional de dinámica de fluidos para el análisis hemodinámico de la enfermedad coronaria
dc.title.TranslatedTitleComputational simulation of fluid dynamics for the hemodynamic analysis of coronary artery disease
dc.typebachelorThesis
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local.department.reportEscuela de Ciencias e Ingeniería
local.regionesBogotá
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