Diseño de un modelo matemático para la predicción de las interacciones entre un andamio de ácido hialurónico-quitosano y condrocitos del septum nasal

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dc.contributor.advisorIbla Gordillo, José Francisco
dc.contributor.authorBuitrago Gonzalez, Milton Julian
dc.date.accessioned2025-06-06T14:15:01Z
dc.date.available2025-06-06T14:15:01Z
dc.date.issued2025-05
dc.description.abstractActualmente, para corregir patologías septales a menudo se requiere de injertos cartilaginosos, pero los métodos actuales de obtención de injertos presentan limitaciones en la calidad y cantidad de los mismos. En respuesta la ingeniería tisular ha diseñado neocartílagos prometedores (Lavernia et al., 2019) basados en el uso de condrocitos y andamios (Li et al., 2019), destacando la combinación ácido hialurónico-quitosano (HA/CS), por sus propiedades fisicoquímicas complementarias y su capacidad para favorecer la adhesión celular (Hu et al., 2021), sin embargo, para que el biomaterial cumpla con su propósito se deben establecer criterios de diseño de ingeniería a partir de las propiedades del tejido nativo (S. Zhang et al., 2019). En este contexto, el presente proyecto se centra en el diseño de un modelo matemático de la fuerza de interacción entre condrocitos y un andamio de HA/CS, a través del establecimiento de las variables críticas de este sistema, como el estado semisólido del material o la fuerza de adhesión, e integrando modelos fisicoquímicos a estas variables, como el criterio de von Mises a la fuerza biomecánica que influye en el sistema, además se realizaron una serie de simulaciones numérica en MATLAB que permiten representar gráficamente la respuesta de los modelos preliminares, los resultados del análisis de sensibilidad global que identifican los parámetros más influyentes en la respuesta del modelo, como la tasa de adhesión, además de los resultados de un análisis Monte Carlo que demostró la sensibilidad del modelo, al presentar en aproximadamente el 50% de las simulaciones respuestas en un rango de 1,5 μN y 1,55 μN, demostrando la precisión del modelo.
dc.description.abstractenglishCurrently, cartilage grafts are often required to correct septal pathologies, but current methods of obtaining grafts have limitations in terms of quality and quantity. In response, tissue engineering has designed promising neocartilages (Lavernia et al., 2019) based on the use of chondrocytes and scaffolds (Li et al., 2019), with the hyaluronic acid-chitosan (HA/CS) combination standing out for its complementary physicochemical properties and its ability to promote cell adhesion (Hu et al., 2021). However, for the biomaterial to fulfill its purpose, engineering design criteria must be established based on the properties of the native tissue (S. Zhang et al., 2019). In this context, the present project focuses on the design of a mathematical model of the interaction force between chondrocytes and an HA/CS scaffold, through the establishment of the critical variables of this system, such as the semi-solid state of the material or the adhesion force, and integrating physicochemical models into these variables, such as the von Mises criterion for the biomechanical force that influences the system. In addition, a series of numerical simulations were performed in MATLAB to graphically represent the response of the preliminary models, the results of the global sensitivity analysis that identify the most influential parameters in the model's response, such as the adhesion rate, and the results of a Monte Carlo analysis that demonstrated the sensitivity of the model, by presenting responses in a range of 1.5 μN and 1.55 μN in approximately 50% of the simulations, demonstrating the accuracy of the model.
dc.description.degreelevelPregradospa
dc.description.degreenameBioingenierospa
dc.format.mimetypeapplication/pdf
dc.identifier.instnameinstname:Universidad El Bosquespa
dc.identifier.reponamereponame:Repositorio Institucional Universidad El Bosquespa
dc.identifier.repourlhttps://repositorio.unbosque.edu.co
dc.identifier.urihttps://hdl.handle.net/20.500.12495/14569
dc.language.isoes
dc.publisher.facultyFacultad de Ingenieríaspa
dc.publisher.grantorUniversidad El Bosquespa
dc.publisher.programBioingenieríaspa
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dc.rightsAttribution-NonCommercial-ShareAlike 4.0 Internationalen
dc.rights.accessrightsinfo:eu-repo/semantics/openAccess
dc.rights.accessrightshttps://purl.org/coar/access_right/c_abf2
dc.rights.localAcceso abiertospa
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/4.0/
dc.subjectIngeniería tisular
dc.subjectBiomateriales
dc.subjectModelado matemático
dc.subject.ddc610.28
dc.subject.keywordsTissue engineering
dc.subject.keywordsBiomaterials
dc.subject.keywordsMathematical modeling
dc.titleDiseño de un modelo matemático para la predicción de las interacciones entre un andamio de ácido hialurónico-quitosano y condrocitos del septum nasal
dc.title.translatedDesign of a mathematical model for predicting interactions between a hyaluronic acid-chitosan scaffold and nasal septum chondrocytes
dc.type.coarhttps://purl.org/coar/resource_type/c_7a1f
dc.type.coarversionhttps://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.driverinfo:eu-repo/semantics/bachelorThesis
dc.type.hasversioninfo:eu-repo/semantics/acceptedVersion
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