# Articles — Recent

Papers, presentations, reports and more, written in LaTeX and published by our community. Search or browse below.

Linear Assignment 1
First assignment dealing with nullspace and rowspace
Arielle Knittel
Apoorva Kumar's One Page CV
Created with the Awesome CV template. This one page CV can be extended to two pages too.
Apoorva Kumar
Measurement of the dynamic viscosity of Canola Oil using a ball drop
The viscosity of a particular fluid is an interesting parameter that plays an important role in fluid dynamics of that fluid. We chose the common household cooking item canola oil. Using a ball drop, we set out to measure viscosity at various temperatures and create a model for the viscosity of canola oil as a function of temperature, as well as an accurate measurement for viscosity at room temperature. It was found that the viscosity between 0 and 40 degrees Celsius can be approximated using an exponential function and that an estimation for viscosity at room temperature was not very difficult to obtain. The precision of this measurement was limited by uncertainty in lab equipment used to measure various quantities as well as the image analysis software we used and the limited frame-rate of our camera.
Jamie Clark
Modélisation de l’évacuation d’un immeuble en cas d’incendie
When an issue arises in a building, people's evacuation is a recurring challenge. We wondered whether we could make a realistic simulation of people’s evacuation based on a simple physical model. First, we elaborated this model and then we simulate the people’s comportment on MATLAB. We could conclude that our simulation is enough to describe the general comportment of people.
Guillaume
Optimal Therapeutic Window Model of Interferon alpha and Imatinib in Combination Therapy in CML Patients
Chronic Myeloid Leukemia is a type of cancer that starts in certain blood-forming cells of the bone marrow. Interferon-$$\alpha$$ was once the standard front-line treatment producing remission rates of only 28.3 percent in 1991. After the highly effective drugs first became available in 2001, survival rates have increased immensely. According to the American Cancer Society, one large study of CML patients treated with a drug called imatinib found that about 90 percent of them were still alive 5 years after starting treatment. While imatinib has changed the way oncologists treat CML, remission is common after extended gaps in treatment. In this paper, we will explore the long-term dynamics of CML under treatment through the use of use of theoretical and mathematical components. We closely base our methods upon the approach of Urszula Ledzewicz and Helen Moore. We will introduce our unique model and explain component selections, while we move towards understanding the optimal interactions of imatinib and interferon-$$\alpha$$ against dormant and proliferating CML cells. Our future work involving optimal control dynamics will be briefly introduced and further solutions are currently ongoing.
Arianna Kalkandis
Pérdidas de energía por fricción
se presenta el desarrollo de un algoritmo bajo código fuente JavaScript para la solución de la ecuación de flujo crítico (2). Se implementó un lenguaje de programación orientado a objetos para sistemas Android 4.0 o superiores a partir de procesos iterativos e incrementales (Desarrollo ágil). Se utilizó el método numérico de Newton-Raphson para determinar la profundidad crítica de sietes secciones hidráulicas (Rectangular, trapezoidal, trapezoidal asimétrico, triangular, triangular asimétrico, parabólico y circular). Con el propósito de acelerar y garantizar el nivel de convergencia para cada una de las secciones se obtuvo una función potencial para establecer el valor semilla en el proceso iterativo, este valor se asocia de manera directa a las condiciones preestablecidas del problema hidráulico. La aplicación calcula la profundidad crítica, velocidad crítica, área