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

Actualmente, 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....

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Autores:
Buitrago Gonzalez, Milton Julian
Tipo de recurso:
https://purl.org/coar/resource_type/c_7a1f
Fecha de publicación:
2025
Institución:
Universidad El Bosque
Repositorio:
Repositorio U. El Bosque
Idioma:
spa
OAI Identifier:
oai:repositorio.unbosque.edu.co:20.500.12495/14569
Acceso en línea:
https://hdl.handle.net/20.500.12495/14569
https://repositorio.unbosque.edu.co
Palabra clave:
Ingeniería tisular
Biomateriales
Modelado matemático
610.28
Tissue engineering
Biomaterials
Mathematical modeling
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Attribution-NonCommercial-ShareAlike 4.0 International
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oai_identifier_str oai:repositorio.unbosque.edu.co:20.500.12495/14569
network_acronym_str UNBOSQUE2
network_name_str Repositorio U. El Bosque
repository_id_str
dc.title.none.fl_str_mv Diseño de un modelo matemático para la predicción de las interacciones entre un andamio de ácido hialurónico-quitosano y condrocitos del septum nasal
dc.title.translated.none.fl_str_mv Design of a mathematical model for predicting interactions between a hyaluronic acid-chitosan scaffold and nasal septum chondrocytes
title Diseño de un modelo matemático para la predicción de las interacciones entre un andamio de ácido hialurónico-quitosano y condrocitos del septum nasal
spellingShingle Diseño de un modelo matemático para la predicción de las interacciones entre un andamio de ácido hialurónico-quitosano y condrocitos del septum nasal
Ingeniería tisular
Biomateriales
Modelado matemático
610.28
Tissue engineering
Biomaterials
Mathematical modeling
title_short Diseño de un modelo matemático para la predicción de las interacciones entre un andamio de ácido hialurónico-quitosano y condrocitos del septum nasal
title_full Diseño de un modelo matemático para la predicción de las interacciones entre un andamio de ácido hialurónico-quitosano y condrocitos del septum nasal
title_fullStr Diseño de un modelo matemático para la predicción de las interacciones entre un andamio de ácido hialurónico-quitosano y condrocitos del septum nasal
title_full_unstemmed Diseño de un modelo matemático para la predicción de las interacciones entre un andamio de ácido hialurónico-quitosano y condrocitos del septum nasal
title_sort Diseño de un modelo matemático para la predicción de las interacciones entre un andamio de ácido hialurónico-quitosano y condrocitos del septum nasal
dc.creator.fl_str_mv Buitrago Gonzalez, Milton Julian
dc.contributor.advisor.none.fl_str_mv Ibla Gordillo, José Francisco
dc.contributor.author.none.fl_str_mv Buitrago Gonzalez, Milton Julian
dc.subject.none.fl_str_mv Ingeniería tisular
Biomateriales
Modelado matemático
topic Ingeniería tisular
Biomateriales
Modelado matemático
610.28
Tissue engineering
Biomaterials
Mathematical modeling
dc.subject.ddc.none.fl_str_mv 610.28
dc.subject.keywords.none.fl_str_mv Tissue engineering
Biomaterials
Mathematical modeling
description Actualmente, 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.
publishDate 2025
dc.date.accessioned.none.fl_str_mv 2025-06-06T14:15:01Z
dc.date.available.none.fl_str_mv 2025-06-06T14:15:01Z
dc.date.issued.none.fl_str_mv 2025-05
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_7a1f
dc.type.local.spa.fl_str_mv Tesis/Trabajo de grado - Monografía - Pregrado
dc.type.coar.none.fl_str_mv https://purl.org/coar/resource_type/c_7a1f
dc.type.driver.none.fl_str_mv info:eu-repo/semantics/bachelorThesis
dc.type.coarversion.none.fl_str_mv https://purl.org/coar/version/c_970fb48d4fbd8a85
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dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12495/14569
dc.identifier.instname.spa.fl_str_mv instname:Universidad El Bosque
dc.identifier.reponame.spa.fl_str_mv reponame:Repositorio Institucional Universidad El Bosque
dc.identifier.repourl.none.fl_str_mv https://repositorio.unbosque.edu.co
url https://hdl.handle.net/20.500.12495/14569
https://repositorio.unbosque.edu.co
identifier_str_mv instname:Universidad El Bosque
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dc.language.iso.fl_str_mv spa
language spa
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repository.name.fl_str_mv Repositorio Institucional Universidad El Bosque
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spelling Ibla Gordillo, José FranciscoBuitrago Gonzalez, Milton Julian2025-06-06T14:15:01Z2025-06-06T14:15:01Z2025-05https://hdl.handle.net/20.500.12495/14569instname:Universidad El Bosquereponame:Repositorio Institucional Universidad El Bosquehttps://repositorio.unbosque.edu.coActualmente, 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.BioingenieroPregradoCurrently, 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.application/pdfAttribution-NonCommercial-ShareAlike 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-sa/4.0/Acceso abiertohttps://purl.org/coar/access_right/c_abf2http://purl.org/coar/access_right/c_abf2Ingeniería tisularBiomaterialesModelado matemático610.28Tissue engineeringBiomaterialsMathematical modelingDiseño de un modelo matemático para la predicción de las interacciones entre un andamio de ácido hialurónico-quitosano y condrocitos del septum nasalDesign of a mathematical model for predicting interactions between a hyaluronic acid-chitosan scaffold and nasal septum chondrocytesBioingenieríaUniversidad El BosqueFacultad de IngenieríaTesis/Trabajo de grado - Monografía - Pregradohttps://purl.org/coar/resource_type/c_7a1fhttp://purl.org/coar/resource_type/c_7a1finfo:eu-repo/semantics/bachelorThesishttps://purl.org/coar/version/c_970fb48d4fbd8a85Afshar, A., Gultekinoglu, M., & Edirisinghe, M. 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