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Views
Date
Relevance
Potential Scenario
137
views
48
downloads
0
comments
2014-Allen-EtAl-Perturbations in Epidemiological Models -When zombies attack we can survive
In this paper, we investigate the existence of stability-changing bifurcations in epidemiological models used to study the spread of zombiism through a human population.
epidemiology
dynamical systems
zombies
bifurcation
perturbation
Potential Scenario
123
views
38
downloads
0
comments
1999-Meyer-Ausubel-Carrying Capacity-A Model with Logistically Varying Limits
This paper extends the logistic equation to simple growth model with a logistically increasing carrying capacity. This is applied to human population situations in several countries with fits to data.
population dynamics
parameter estimation
limited growth
growth
logisitic
Modeling Scenario
252
views
141
downloads
0
comments
6-011-HumansVsZombies-ModelingScenario
Students analyze the SIR differential equations model in the context of a zombie invasion of a human population. Students analyze a two equation system representing only two populations, humans and zombies and then recovered zombies.
zombies
infection
SIR models
Modeling Scenario
165
views
181
downloads
0
comments
5-020-ParacetamolAbsorption-ModelingScenario
We offer drug absorption data on paracetamol, an analgesic pain reliever, for two different sets of patients, vegetarian and non-vegetarian. Students build a two compartment model for plasma and non-plasma (tissue) compartments of human patients.
paracetamol
analgesic
vegetarian
non-vegetarian
Modeling Scenario
147
views
30
downloads
0
comments
1-131-CaffeineElimination-ModelingScenario
We model the concentration of caffeine eliminated from the human body at a rate proportional to the concentration. This is a ``first-order reaction'' in the language of pharmacokinetics -- the study of how drugs move in the body.
caffeine
elimination
pharmacokinetics
drug
Modeling Scenario
202
views
144
downloads
0
comments
1-066-USCensusModeling-ModelingScenario
The United States Census, conducted every 10 years, gives data on the United States population, that can be modeled with the exponential, logistic, or Gompertz functions.
data
logistic
population
Gompertz
census
goodness of fit
Modeling Scenario
178
views
495
downloads
0
comments
1-124-WorldPopulation-ModelingScenario
We build models of world population using data to estimate growth rate.
population dynamics
human
growth rate
varying growth rate
Modeling Scenario
214
views
154
downloads
0
comments
1-130-AspirinAbsorption-ModelingScenario
We model the amount of aspirin absorbed by the human body at a constant rate. This is a ``zero-order reaction'' in the language of pharmacokinetics -- the study of how drugs move in the body.
pharmacokinetics
drug
aspirin
Modeling Scenario
261
views
120
downloads
0
comments
5-022-ColdPill-ModelingScenario
A model for the flow of a cold pill drug through the gastrointestinal compartment to the bloodstream compartment of a human subject is proposed. Students solve the system of differential equation model, use known parameter values, and plot solutions.
rates
medicine
drug discovery
compartment
cold pill
gastrointestinal
bloodstream
Article or Presentation
169
views
38
downloads
0
comments
2013-Brian_Winkel-Browsing_Your_Way_to_Better_Teaching
We describe the use of browsing and searching (in libraries, on-line, inside sources, at meetings, in abstracts, etc.) as a way to stimulate the teacher of undergraduate mathematics, specifically in differential equations.
resources
modeling
teaching
browse
sources
Modeling Scenario
355
views
262
downloads
0
comments
1-061-PotatoCooling-ModelingScenario
We model the cooling of a baked potato and compare it to student-collected data.
least sum of square errors
Newton's Law of Cooling
cooling
potato
Modeling Scenario
128
views
52
downloads
0
comments
1-036-NeutralBuoyancy-ModelingScenario
An object may hang suspended at, say, ten foot depth in a column of water if at ten feet underwater the density of the object equals the density of water. We study this phenomenon
Density
buoyancy
Archimedes’ Principle
float
neutral buoyance
Modeling Scenario
158
views
329
downloads
0
comments
4-055-ShatterWineGlass-ModelingScenario
This module takes students through real life scenarios to examine resonance and its destructive power using differential equation models. What is resonance? How does it happen? Why is it important?
frequency
damping
amplitude
resonance
oscillation
shattering
wine glass
bridges
aircraft
external force
Modeling Scenario
649
views
520
downloads
0
comments
3-034-CarSuspension-ModelingScenario
We examine the spring-mass-dashpot that is part of a car suspension, how the ride is related to parameter values, and the effect of changing the angle of installation. We model a ``quarter car'', meaning a single wheel.
design
spring-mass-dashpot
spring constant
underdamping
car suspension
suspension tolerance
static equilibrium
Modeling Scenario
284
views
390
downloads
0
comments
1-132-DigoxinElimination-ModelingScenario
We model the concentration of digoxin eliminated from the human body at a rate proportional to the concentration. This is a ``first-order reaction'' in the language of pharmacokinetics -- the study of how drugs move in the body.
nullclines
pharmacokinetics
digoxin
drug elimination
two compartment
Potential Scenario
118
views
50
downloads
0
comments
1989-R_Blickhan-Spring Mass Model For Running-Hopping
A simple spring—mass model consisting of a massless spring attached to a point mass describes the interdependency of mechanical parameters characterizing running and hopping of humans as a function of speed.
spring mass
jump
jumping
Potential Scenario
123
views
39
downloads
0
comments
1971-Boyes-Scott-Jebson-Godman-Julian-Lidocaine in Man
Plasma levels of lidocaine were measured in 5 normal male volunteers following both intravenous and oral administration of the drug.
p
Pharmacology
pharmacokinetics
lidocaine
Technique Narrative
303
views
115
downloads
0
comments
1-009-Bifurcation-TechniqueNarrative
We lead students to investigate first-order differential equations that contain unknown parameters. Students discover what happens to the qualitative behavior of solutions to these equations as these parameters vary.
bifurcation
qualitative behavior
bifurcation diagram
Modeling Scenario
307
views
424
downloads
0
comments
1-082-MirroMirror-ModelingScenario
This project models the ``Foucault Knife Edge Test,'' an optical test commonly used by amateur astronomers who make their own mirrors for reflecting telescopes. The goal of the test is to estimate the shape of the surface of a mirror from optical...
astronomy
mirror climate change mitigation ocean deacidification
optics
telescope
lens
Foucault
interpolation
Modeling Scenario
235
views
141
downloads
0
comments
1-085-DrugBolus-ModelingScenario
Given data on the concentration of a drug in the plasma of a human in mg/L at certain time intervals in hours can we determine the rate at which the drug leaves the plasma as well as the initial amount administered in a intravenous bolus of the drug?
concentration
sum of square errors
bolus
drug
rate constant
administer
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