Abstract
Mathematics grants us a wide variety of problem solving from simple arithmetic to the theoretical weight of the sun. The mathematics of differential equations is used to describe a relationship of continuous variables as time and space go on. Described as systems of functions, these equations are used to predict what will happen to the variables included within the functions. Real world applications of these functions attempt to correlate dynamic variables, and predict the outcome of those variables as different factors are slowly introduced to the model. In this project, we will state unique models that are manipulated over time by diverse factors. We will predict the fate of humanity in the realm of Innistrad, a plane within the multi-verse of Magic the Gathering. In a world unlike our own, humans have become the bottom of the food chain as the monsters of Innistrad seek to thrive off a strict diet of man. We will describe the predator-prey relationship between monsters and humans while introducing factors individually that may save or destroy the human race. Additionally, we will dissect the population growth of tumor cells as they thrive within a body. We will describe a model of the tumor cells as the body triggers an immune response to them. As time goes on and factors are slowly introduced, we seek to find a specified immune response to the tumor, and how that response effects the tumor cell population.
Faculty Sponsors
Dr. Evan Haskell
Project Type
Event
Location
Alvin Sherman Library
Start Date
4-13-2012 1:00 PM
End Date
4-13-2012 5:30 PM
Zendikar: The Cancerous Mathamagics
Alvin Sherman Library
Mathematics grants us a wide variety of problem solving from simple arithmetic to the theoretical weight of the sun. The mathematics of differential equations is used to describe a relationship of continuous variables as time and space go on. Described as systems of functions, these equations are used to predict what will happen to the variables included within the functions. Real world applications of these functions attempt to correlate dynamic variables, and predict the outcome of those variables as different factors are slowly introduced to the model. In this project, we will state unique models that are manipulated over time by diverse factors. We will predict the fate of humanity in the realm of Innistrad, a plane within the multi-verse of Magic the Gathering. In a world unlike our own, humans have become the bottom of the food chain as the monsters of Innistrad seek to thrive off a strict diet of man. We will describe the predator-prey relationship between monsters and humans while introducing factors individually that may save or destroy the human race. Additionally, we will dissect the population growth of tumor cells as they thrive within a body. We will describe a model of the tumor cells as the body triggers an immune response to them. As time goes on and factors are slowly introduced, we seek to find a specified immune response to the tumor, and how that response effects the tumor cell population.
