24-11-2023 |
Modelamiento de la evaporación hidrógeno verde líquido en tanques de almacenamiento con geometría arbitraria
El hidrógeno verde es una tecnología de almacenamiento de energías renovables cuyo uso o combustión no genera dióxido de carbono. Su baja densidad a condiciones estándar de presión y temperatura (ρ = 0,082 kg/m^3) dificulta su escalamiento industrial. El hidrógeno líquido tiene una densidad 860 veces mayor, pero su punto de ebullición de 23 K a presión atmosférica produce que los alrededores lo calienten y evaporen durante su almacenamiento. El objetivo del IPRE es optimizar es desarrollar un modelo 1-D para la evaporación isobárica de hidrógeno verde líquido. Esto contribuirá a mejorar la competitividad económica y la seguridad del almacenamiento criogénico de energías renovables. Actividades: • Implementar modelo 1-D no estacionario (fase vapor) y de parámetros agrupados no estacionario (líquido) para tanques con geometrías arbitrarias en Python/Julia. • Parametrizar perímetros de tanques utilizados en la industria en función de la altura • Encontrar el mejor diseño Req: IIQ2003
Keywords:
Python
métodos numéricos
modelos matemáticos
energias renovables
Modelamiento físico
Hidrógeno verde
Prerequisitos:
no tiene.
Tiene un método de evaluación Nota 1-7, con 10 créditos y tiene 1/1 vacantes disponibles |
Mentor(es): Ver en la plataforma |
07-03-2023 |
Simulaciones de dinámica molecular de la interacción enzima-sustrato de resveratol O-metiltransferasa
La enzima resveratrol O-metiltransferasa de Vitis vinifera (VvROMT) es una enzima de interés industrial que sintetiza productos benéficos para la salud humana y de elevado valor comercial. En nuestro laboratorio mejoramos con éxito la eficiencia enzimática y selectividad de esta enzima. Sin embargo, nuestros actuales modelos moleculares estructurales de la enzima no son capaces de explicar de manera satisfactoria los resultados experimentales. Objetivo de este proyecto es realizar simulaciones de dinámica molecular de variantes de VvROMT en complejo con diversos sustratos para generar una modelo robusto de las relaciones bioactividad-estructura.
Prerequisitos:
no tiene.
Tiene un método de evaluación Nota 1-7, con 10 créditos y tiene 1/1 vacantes disponibles |
Mentor(es): Ver en la plataforma |
11-11-2022 |
Deep learning para reducción de artefactos en tomografía dental
En la tomografía dental los implantes metálicos, como tapaduras, producen artefactos visuales que limitan la utilidad de estas imágenes en la práctica. La teoría matemática de la tomografía permite proponer un método para reducir estos artefactos. Sin embargo, la implementación de este método en la práctica es complejo. Este proyecto tiene por objetivo evaluar el uso de herramientas de aprendizaje profundo para implementar este método, o bien para desarrollar uno con un mejor desempeño a partir de datos sintéticos. Trabajo conjunto entre Prof. Carlos Sing Long (IMC) y Prof. Benjamin Palacios (MAT).
Prerequisitos:
no tiene.
Tiene un método de evaluación Nota 1-7, con 10 créditos y tiene 1/2 vacantes disponibles |
Mentor(es): Ver en la plataforma |
18-07-2022 |
Patrones espaciotemporales de la contaminación atmosférica.
Se dispone de análisis de la contaminación ambiental empleando técnicas de reconocimiento de patrones espacio-temporales. Se va a comparar los resultados obtenidos desde los distintos algoritmos para establecer similitud de patrones encontrados y que tanto varían al cambiarse los parámetros de entrada a los algoritmos de detección de patrones. Como referencia, se va a usar comparaciones con resultados de modelaciones de calidad del aire urbana para partículas (MP2.5, MP10) en distintas ciudades de Chile. El análisis se va a realizar empleando el software R. El análisis se va a realizar empleando el software estadístico R. Tiene un método de evaluación Nota 1-7, con 5 créditos y tiene 2/4 vacantes disponibles |
Mentor(es): Ver en la plataforma |
21-06-2022 |
Aplicación de modelos anisotrópicos en simulación de procesos de conformado
El comportamiento del zinc, a diferencia de otros metales HCP como el titanio y el magnesio ha sido escasamente cubierto en la literatura. Para la lámina de aleación de zinc Zn20 estudiada en este trabajo (hasta 0.08% de titanio, mínimo de 0.06% de cobre con balance de zinc; porcentaje en peso), la anisotropía se aprecia claramente en las curvas tensión-deformación y los coeficientes de Lankford. Se aplica la funcion de fluencia avanzada CPB-06 asociada, en conjunto con modelos de fractura para representar el comportamiento de la aleación Zn20. Como herramienta de validación del modelo numérico, se ha propuesto replicar, a través de simulaciones por elementos finitos, defectos y daños observado en estas experiencias. Para esto se contará con software propietario de elementos finitos, pre y post procesador, más una amplia base experimental de caracterízación y validación. La tarea del estudiante será llevar a cabo las simulaciones, su ajuste y validación en base a los experimentos.
Prerequisitos:
no tiene.
Tiene un método de evaluación Nota 1-7, con 10 créditos y tiene 1/5 vacantes disponibles |
Mentor(es): Ver en la plataforma |
24-07-2020 |
Métodos de ecuaciones integrales de alto order para problemas de flujo de Stokes
Se busca estudiante altamente motivado para desarrollar investigación en métodos numéricos de alto orden para la solución computacional de flujo de Stokes con aplicaciones a biología. El candidato ideal debiera conocer (y apreciar) los siguientes tópicos: mecánica de fluidos, cálculo científico (MAT2605/MAT280I), programación científica en Matlab o Julia. Más información sobre posibles temas de investigación puede ser encontrada en el sitio web: http://cperezar.sitios.ing.uc.cl/research.html
Prerequisitos:
MAT2605
Tiene un método de evaluación Nota 1-7, con 10 créditos y tiene 2/2 vacantes disponibles |
Mentor(es): Ver en la plataforma |
21-07-2020 |
Herramientas para hacer análisis de sensibilidad y flexibilidad en evaluación de proyectos
Determinar la rentabilidad de un proyecto es siempre incierto. Para hacer una evaluación robusta se usan varias técnicas. La principal es el análisis de sensibilidad, que cuantifica el impacto de la variación de una variable en el resultado. Pero este análisis debe ir acompañado del análisis de flexibilidad, que permite revisar las decisiones en el tiempo, de acuerdo estado del mundo. Ésta oportunidad de investigación apunta a crear herramientas estándar, customizables que permitan realizar estos análisis en la evaluación de un proyecto. Se cuenta con un banco de proyectos para usar como casos de estudio.
Prerequisitos:
ICS3013
Tiene un método de evaluación Nota 1-7, con 5 créditos y tiene 1/1 vacantes disponibles |
Mentor(es): Ver en la plataforma |
24-11-2023 |
Modeling of the evaporation of liquid green hydrogen in storage tanks with arbitrary geometry
Green hydrogen is a renewable energy storage technology that does not generate carbon dioxide when used or burned. Its low density under standard pressure and temperature conditions (ρ = 0.082 kg/m³) makes industrial scaling difficult. Liquid hydrogen has a density 860 times greater, but its boiling point of 23 K at atmospheric pressure causes the surroundings to heat it and evaporate during storage. The goal of IPRE is to develop a 1-D model for the isobaric evaporation of liquid green hydrogen. This will contribute to improving the economic competitiveness and safety of cryogenic storage of renewable energies. Activities: • Implement a non-stationary 1-D model (vapor phase) and a non-stationary grouped parameters model (liquid) for tanks with arbitrary geometries in Python/Julia. • Parameterize tank perimeters used in the industry as a function of height. • Find the best design. Requirement: IIQ2003
Keywords:
Python
métodos numéricos
modelos matemáticos
energias renovables
Modelamiento físico
Hidrógeno verde
Prerequisites:
None.
Evaluation method: Nota 1-7, with 1/1 available vacants |
Mentor(s): Open in the plataform |
22-09-2023 |
How did the traverso flutes resonate during the baroque period
Prerequisites:
IEE2103
Evaluation method: Nota 1-7, with 0/1 available vacants |
Mentor(s): Open in the plataform |
31-05-2023 |
Modelling green hydrogen storage as liquid organic hydrogen carriers (LOHC)
To prevent global warming from exceeding 1.5°C from pre-industrial times, the energy transition must happen as a matter of urgency. Internationally, hydrogen is positioned as an excellent renewable energy carrier. Hydrogen is green if it is produced by means that do not emit carbon dioxide, such as renewable electrolysis. Due to its low density and boiling point at standard pressure conditions, hydrogen storage is challenging. Liquid organic hydrogen carriers (LOHCs) are typically cyclic aromatic hydrocarbons that can store hydrogen through hydrogenation and dehydrogenation reactions. LOHCs reach satisfactory gravimetric densities and can be stored at room temperature. The UROP consists of modelling the hydrogenation/dehydrogenation of the methylcyclohexane-toluene system with an emphasis on ensuring proper thermal management of the reactor.
Prerequisites:
IIQ2003
Evaluation method: Nota 1-7, with 0/1 available vacants |
Mentor(s): Open in the plataform |
07-03-2023 |
Prerequisites:
None.
Evaluation method: Nota 1-7, with 1/1 available vacants |
Mentor(s): Open in the plataform |
12-12-2022 |
Prerequisites:
IIQ2043
Evaluation method: Nota 1-7, with 0/1 available vacants |
Mentor(s): Open in the plataform |
11-11-2022 |
Prerequisites:
None.
Evaluation method: Nota 1-7, with 1/2 available vacants |
Mentor(s): Open in the plataform |
18-07-2022 |
Spatiotemporal patterns in ambient air pollution
Ambient air pollution has been analyzed by means of pattern recognition algorithms. Results from different algortihms and input parameters will be compared to establish sensitivity of output results to those different input options. As benchmark, known results from air quality modeling will be used for ambient PM2.5 and PM10 in several cities in Chile. The R software environment will be used in teh analyses. Evaluation method: Nota 1-7, with 2/4 available vacants |
Mentor(s): Open in the plataform |
21-06-2022 |
Prerequisites:
None.
Evaluation method: Nota 1-7, with 1/5 available vacants |
Mentor(s): Open in the plataform |
06-01-2022 |
Liquid Democracy: Modelling, Analysis, and Computational Implementation
Liquid democracy is a new paradigm of democratic decision-making, based on the idea that voters can delegate their votes transitively to people they consider most qualified for the particular election that is being held. The study of liquid democracy from an algorithmic and computational point of view, which is a branch of the area of "computational social choice", has recently started through a couple of very influential articles; for example, https://ojs.aaai.org/index.php/AAAI/article/view/11468. Despite how interesting these works are, we believe that they have not yet managed to capture all the complexities that these types of dynamics have in reality. The idea is to develop extensions of this model that better fit the requirements of current political science, and from that to analyze its mathematical and computational properties. The work will be interdisciplinary with components of mathematics, computing, and political science.
Prerequisites:
IIC1253
Evaluation method: Nota 1-7, with 0/1 available vacants |
Mentor(s): Open in the plataform |
18-11-2021 |
Prerequisites:
None.
Evaluation method: Nota 1-7, with 0/1 available vacants |
Mentor(s): Open in the plataform |
15-07-2021 |
Mathematical modeling of cancer transformation mechano-types
Prerequisites:
None.
Evaluation method: Nota 1-7, with 0/1 available vacants |
Mentor(s): Open in the plataform |
09-07-2021 |
Keywords:
modelamiento
nube de puntos
Prerequisites:
None.
Evaluation method: Nota 1-7, with 0/1 available vacants |
Mentor(s): Open in the plataform |
08-04-2021 |
Mathematical methods for the deconvolution problem
One of the main properties of an optical system is its resolution. This is defined as the minimum separation between two ideal point sources so that they can be distinguished from one another when observed through the system. In practice, the diffraction of light imposes a physical limit to the resolution of the system. For a linear system, this process is typically modeled by a convolution by the Point Spread Function (PSF). For this reason, a technique that improves the resolution of the system can be interpreted as a deconvolution method. The objective of this project is to study mathematical methods proposed in the literature in the past decade, which combine applied Fourier analysis, convex optimization, and probability, for which there exists conditions that ensure they solve the superresolution problem in a computationally efficient manner.
Prerequisites:
IMT2113
Evaluation method: Nota 1-7, with 0/1 available vacants |
Mentor(s): Open in the plataform |
01-04-2021 |
Evaluation method: Nota 1-7, with 0/1 available vacants |
Mentor(s): Open in the plataform |
16-12-2020 |
Keywords:
modelamiento
presion arterial
Prerequisites:
None.
Evaluation method: Nota 1-7, with 0/1 available vacants |
Mentor(s): Open in the plataform |
14-12-2020 |
Mathematical and computational modelling of embryonic development, continuation
This iPre is part of an interdisciplinary project that will study a self-organizing collective of two cell types in the early embryo of annual killifish (see image). We will utilize advanced methods from developmental biology, microscopy, image analysis, and microfabrication to track the behaviour of cells in embryos and in vitro culture, and construct mathematical and computational models of their interactions. Our aim is to understand the principle mechanisms that give rise to self-organized emergent behaviour at multiple scales from molecular, through cellular, tissue and ultimately to whole embryo structure. The aim of the iPre project is to develop mathematical and computational models using: Python, C++ and other programming languages Differential equations and partial differential equations Finite elements Computational geometry
Prerequisites:
None.
Evaluation method: Nota 1-7, with 0/1 available vacants |
Mentor(s): Open in the plataform |
24-07-2020 |
High-order boundary integral equation methods for Stokes flow problems
I invite applications of highly motivated undergraduate students to pursue research on novel boundary integral equation methods for the solution of Stokes flow problems with applications in biology. Successful candidates are expected to have basic knowledge in the following areas: fluid mechanics, scientific computing, and programming in Matlab, Julia, or Python.
Prerequisites:
MAT2605
Evaluation method: Nota 1-7, with 2/2 available vacants |
Mentor(s): Open in the plataform |
24-07-2020 |
Development of hybrid model for protein folding simulations
Protein folding is a biological phenomenon with a timescale in the order of milliseconds to seconds. Thus, it is challenging to explore these processes in molecular dynamics simulations. However, recent years have witnessed the development of models rigorously footed in the energy landscape theory of protein folding that enable simulating these phenomena with low computational costs. This is the case of the SMOG2 software, that generates both all-atom and single-bead coarse-grained modelos for simulations in GROMACS. However, it has been recently determined that hybrid double-bead (alpha + beta carbon) or pseudo-empiric models are useful to simulate protein folding processed that incorporate sequence-dependent information (electrostatics, hydrophobic). In this research, SMOG2-dependent hybrid models will be developed for protein folding simulations in GROMACS.
Prerequisites:
None.
Evaluation method: Nota 1-7, with 0/1 available vacants |
Mentor(s): Open in the plataform |
21-07-2020 |
Tools for sensitivity analysis and flexibility in the evaluation of projects
Determine the profitability of a project is always uncertain. To make an assessment on robust use several different techniques. The main one is sensitivity analysis, which quantifies the impact of the variation of a variable in the result. But this analysis must be accompanied by flexibility analysis, which allows you to review the decisions at the time, according to state of the world. This research opportunity aims to create tools-standard, customizable, to conduct these tests in the evaluation of a project. There is a bank of projects for use as case of study.
Prerequisites:
ICS3013
Evaluation method: Nota 1-7, with 1/1 available vacants |
Mentor(s): Open in the plataform |
20-07-2020 |
Optimization of production planning with learning problems, cutting stock and pricing
It will examine the effect of learning curves on problems that are based on cutting-stock and pricing. To do this is to use programming models non-linear and linear-integer, they study the effect of learning curves on the productive choices. You manage the optimization and basic computer skills.
Prerequisites:
ICS1113
Evaluation method: Nota 1-7, with 0/2 available vacants |
Mentor(s): Open in the plataform |
17-07-2020 |
Gravity inversion system for a andean geothermal system
This research is focused on the analysis of gravity data taken in the field trip of the past summer, to establish the nature of the subsoil of a low-enthalpy geothermal Andean system. Results will allow defining the 3D architecture of the system for more efficient use of the geothermal resource.
Prerequisites:
ICE2028
Evaluation method: Nota 1-7, with 0/1 available vacants |
Mentor(s): Open in the plataform |