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Análisis de influencia y sensibilidad de los parámetros involucrados en el modelamiento de la dinámica del transporte axonal
dc.rights.license | Atribución-NoComercial-SinDerivadas 4.0 Internacional |
dc.contributor.advisor | Cortés Rodriguez, Carlos Julio |
dc.contributor.advisor | Galeano Ureña, Carlos Humberto |
dc.contributor.author | Morales Suárez, Cristian Felipe |
dc.date.accessioned | 2022-03-01T16:56:31Z |
dc.date.available | 2022-03-01T16:56:31Z |
dc.date.issued | 2021 |
dc.identifier.uri | https://repositorio.unal.edu.co/handle/unal/81096 |
dc.description | ilustraciones, graficas |
dc.description.abstract | El transporte axonal (TA) es el medio por el cual todo el material sintetizado en el soma se distribuye a lo largo del axón para procesos funcionales de crecimiento, mantenimiento y supervivencia neuronal. Modelos matemáticos sugeridos logran determinar las principales características sobre su comportamiento, donde cada parámetro representa un estado dinámico especifico observado en estudios experimentales. En este trabajo se estudia la influencia de los parámetros sobre la distribución espacial de las proteínas y su relación con la naturaleza del fenómeno, lo anterior permitirá construir metodologías que concentren los esfuerzos en sus mediciones con las técnicas experimentales y facilitar su modelamiento matemático. El modelo es planteado por un conjunto de ecuaciones diferenciales parciales de Difusión - Advección - Reacción acopladas, su solución es abordada por el método de elementos finitos con una técnica de mallado adaptativo y se ajusta con datos experimentales a través de algoritmos de optimización disponibles en el software Matlab. Finalmente se establece un análisis de sensibilidad local y se acopla con el sistema del TA, logrando así evaluar los parámetros que mas impactan la solución del modelo. Como resultado, se llega a una convergencia numérica y experimental adecuada y un código capaz de representar la dinámica del TA garantizando demandas computacionales óptimas. En tanto a la naturaleza del fenómeno, los hallazgos obtenidos permiten sugerir, a partir del análisis de sensibilidad, que el TA esta determinado por la sinergia entre: Motores moleculares - Microtúbulos (MT) - proteínas logrando una coordinación controlada que conlleva a un balance adecuado de motores unidos a un cargo y conduciendo a movimientos bidireccionales esenciales en los múltiples procesos neuronales. (Texto tomado de la fuente) |
dc.description.abstract | The axonal transport (AT) is the means by which all the material synthesized in the soma is distributed throughout of axon for functional processes of neuronal growth, maintenance and survival. Suggested mathematicals models achieve determine the characteristics mains about their behavior, where each parameter go represent a specific dynamic state observed in experimental studies. In this work the influence of the parameters on the spatial distribution of the proteins and their relationship with the nature of the phenomenon is studied. This will allow the construction of methodologies that concentrate the efforts in the measurement in the experimental techniques and facilitate their mathematical modeling.The model is posed by a set of coupled partial differential equations of Diffusion - Advection - Reaction, its solution is approached by the finite element method with an adaptive meshing technique and is fitted with experimental data through algorithms of optimization available in Matlab software. Finally, a local sensitivity analysis is established and it is coupled with the TA system, thus managing to evaluate the parameters that most impact the model solution. As results, an adequate numerical and experimental convergence is reached and a code capable of representing the dynamics of the AT guaranteeing optimal computational demands. Regarding the nature of the phenomenon, the findings obtained allow us to suggest, from the sensitivity analysis, that the TA is determined by the synergy between: Molecular motors - Microtubules (MT) - proteins achieving a controlled coordination that entails to an adequate balance of motors attached to a cargoes and leading to essential bidirectional movements in the multiple neural processes. |
dc.format.extent | xiv, 113 páginas |
dc.format.mimetype | application/pdf |
dc.language.iso | spa |
dc.publisher | Universidad Nacional de Colombia |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ |
dc.subject.ddc | 620 - Ingeniería y operaciones afines::629 - Otras ramas de la ingeniería |
dc.subject.other | TRANSPORTE BIOLOGICO |
dc.subject.other | TRANSPORTE AXONAL |
dc.subject.other | Transporte por membranas |
dc.title | Análisis de influencia y sensibilidad de los parámetros involucrados en el modelamiento de la dinámica del transporte axonal |
dc.type | Trabajo de grado - Maestría |
dc.type.driver | info:eu-repo/semantics/masterThesis |
dc.type.version | info:eu-repo/semantics/acceptedVersion |
dc.publisher.program | Bogotá - Ingeniería - Maestría en Ingeniería - Ingeniería Mecánica |
dc.contributor.researchgroup | Grupo de Investigación en Biomecánica / Universidad Nacional de Colombia Gibm-Uncb |
dc.description.degreelevel | Maestría |
dc.description.degreename | Magíster en Ingeniería Mecánica |
dc.identifier.instname | Universidad Nacional de Colombia |
dc.identifier.reponame | Repositorio Institucional Universidad Nacional de Colombia |
dc.identifier.repourl | https://repositorio.unal.edu.co/ |
dc.publisher.department | Departamento de Ingeniería Mecánica y Mecatrónica |
dc.publisher.faculty | Facultad de Ingeniería |
dc.publisher.place | Bogotá, Colombia |
dc.publisher.branch | Universidad Nacional de Colombia - Sede Bogotá |
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dc.rights.accessrights | info:eu-repo/semantics/openAccess |
dc.subject.proposal | Análisis de sensibilidad |
dc.subject.proposal | Bidireccionalidad |
dc.subject.proposal | Enfermedades neurodegenerativas |
dc.subject.proposal | Método de elementos Finitos |
dc.subject.proposal | Transporte axonal |
dc.subject.proposal | Sentivity Analysis |
dc.subject.proposal | Bidirectional |
dc.subject.proposal | Neurodegenerative diseases |
dc.subject.proposal | Finite element Method |
dc.subject.proposal | Axonal Transport |
dc.title.translated | Influence and sensitivity analysis of the parameters involved in modeling the dynamics of axonal transport |
dc.type.coar | http://purl.org/coar/resource_type/c_bdcc |
dc.type.coarversion | http://purl.org/coar/version/c_ab4af688f83e57aa |
dc.type.content | Text |
dc.type.redcol | http://purl.org/redcol/resource_type/TM |
oaire.accessrights | http://purl.org/coar/access_right/c_abf2 |
dcterms.audience.professionaldevelopment | Público general |
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