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Views
Date
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Potential Scenario
132
views
40
downloads
0
comments
2009-Marten-EtAl-Derivation and analysis of an ordinary differential equation for epilepsy dynamics
In this paper we describe how an ordinary differential equation model of corticothalamic interactions may be obtained from a more general system of delay differential equations.
delay
epilepsy dynamics
epilepsy
bistability
seizure activity
Article or Presentation
5858
views
775
downloads
0
comments
2020-TeachingModule-GeometricBehaviorOfLinearSysteModeling
This module concentrates on the geometric properties of a system of 2 linear, homogeneous first order differential equations in 2 variables as dictated by the corresponding eigenvalues. Students should be familiar with using eigenvalues.
module
linear systems
digoxin
Teaching Module
Potential Scenario
205
views
59
downloads
0
comments
2003-Yildirim-Mackey-Feedback Regulation in the Lactose Operon
A mathematical model for the regulation of induction in the lac operon in Escherichia coli is presented.
mRNA
lactose
lactose operon
feedback regulation
Article or Presentation
287
views
571
downloads
0
comments
2020-Teaching Module-Applying Separation Of Variables
This is one of several Teaching Modules prepare by the Principal Investigates of SIMIODE’s National Science Foundation grant and offered in 2020. The material offered is a complete narrative of how a modeling activity can be offered including...
modules
Ebola
separation of variables
Teaching Modules
Separation
Potential Scenario
247
views
80
downloads
0
comments
2017-Floyd_Ballard-Dice Activities for DE Models
This document includes descriptions of four activities that are appropriate for a calculus or differential equations class, all using dice to motivate a differential equation model for a real-world scenario.
simulation
curve fitting
c
dice
collect data
class activities
analyze data
class activity
Potential Scenario
159
views
72
downloads
0
comments
2012-Lensyl-Urbano-The Draining of a Plastic Bottle-Integrating a Physics Experiment into Calculus
I punched a small hole (about 1mm radius) in a one gallon plastic bottle and had my students measure the rate at which water drained.
in-class activity
experiment
Torricelli's Law
cylinder of water
expderiment
Article or Presentation
236
views
71
downloads
0
comments
2009-Brian_Winkel-Population_modelling_with_MandMs
Several activities in which population dynamics can be modeled by tossing M&M’s® candy are presented.
simulation
parameter estimation
immigration
death
difference equation
Modeling Scenario
293
views
224
downloads
0
comments
1-108-PoissonProcess-ModelingScenario
In this project students learn to derive the probability density function (pdf) of the Poisson distribution and the cumulative distribution (cdf) of the waiting time. They will use them to solve problems in stochastic processes.
Probability
s
stochastic processes
Poisson process
waiting time
arrival
Modeling Scenario
417
views
517
downloads
0
comments
6-068-VisualizingPredator-PreyCycles
In this modeling scenario, we propose a gentle introduction to limit cycles using nullcline analysis and a spreadsheet graphical approach via the fourth-order Runge-Kutta method. We will be offering three predator-prey models, each more complex...
nullclines
predator-prey
Geometry
predator
Runge-Kutta
prey
limit cycle
Potential Scenario
193
views
45
downloads
0
comments
2013-Alicia_Caldwell-Students Rise to the Challenge of Modeling Yeast Growth Despite Sour Hiccups from Imperfect Data
This paper describes a lab in which students in an Applied Mathematics in Biology course observe the growth of Saccharomyces cerevisiae, a yeast strain, in differing sugar concentrations for use in learning modeling.
Saccharomyces cerevisiae
logistic
yeast
death
growth
sugar
alcohol
Article or Presentation
275
views
81
downloads
0
comments
2009-Brian_Winkel-Modelling_Growth_Of_an_OilSlick
An oil-slick spreads at sea. From time to time, but irregularly, a helicopter is dispatched. On each trip, it arrives over the slick, the pilot takes a picture, waits 10 minutes, takes another, and heads home. Model this.
differential equations
simulation
parameter estimation
difference equation
Potential Scenario
206
views
64
downloads
0
comments
2010-Jungck-EtAl-Mathematical Manipulative Models-In Defense of Beanbag Biology
This paper offers up samples of projects from the Bio- QUEST Curriculum Consortium’s 24-yr experience of holding faculty development workshops for biology and mathematics educators.
epidemiology
simulation
infectious disease
disease transmission
disease
in-class activity
bean bag activity
Potential Scenario
190
views
62
downloads
0
comments
2011-Mandal-EtAl-Mathematical models of malaria
The first aim of this article is to develop, starting from the basic models, a hierarchical structure of a range of deterministic models of different levels of complexity. The second is to elaborate, using some of the representative mathematical...
epidemiology
transmission
host-parasite
malaria
Ross model
Potential Scenario
151
views
56
downloads
0
comments
2008-Ratneesh_Suri-Optimal harvesting strategies for fisheries-differential equations approach
We develop and investigate the harvesting model in both deterministic and stochastic settings. We first employ the Expected Net Present Value approach and determine optimal harvesting policy using various optimization techniques including optimal...
optimal control
sustainable yield
maximum sustainable yield
harvest
Expected Net Present Value
calculus of variations
dynamic programming
maximum economic yield
Article or Presentation
169
views
53
downloads
0
comments
1980-Peastrel-Lynch-Armenti-Terminal_velocity_of_a_shuttlecock_in_vertical_fall
This paper offers a set of data on a falling shuttlecock (the moving object in badminton) in air. How the authors collected the data is described fully and can be replicated easily by modern equipment.
parameter estimation
data collection
resistance
falling
terminal velocity
Newton's Second Law of Motion
shuttlecock
Article or Presentation
242
views
74
downloads
0
comments
2013-Brian_Winkel-Reflecting_On_Walls
We reflect on our passion for teaching mathematics, useful mathematics, by considering our understandings of just what a wall is and what a wall means to us.
mathematics
mathematical model
learning
cell wall
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