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Modeling Scenario
308
views
239
downloads
0
comments
7-010-MultipleDoses-ModelingScenario
Two multiple dose drug administration regimens are offered. A drug is to maintain a certain level (above a set minimum and below a set maximum) in the blood stream and one regimen involves bolus injections and another involves steady drip flow...
drug discovery
step function
dose
Dirac
drug administration
inverse Laplace Transform
intraveneous
bolus
steady drip
Modeling Scenario
230
views
114
downloads
0
comments
1-080-DrugAdministration-ModelingScenario
A simple drug administration situation is modeled with only two observations.
decay
bloodstream
drug
rate constant
administer
Modeling Scenario
208
views
239
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
461
views
129
downloads
0
comments
6-017-OncolyticViruses-ModelingScenario
Students explore oncolytic virotherapy using systems of differential equations and numerical simulations.
cancer
cancer-immune dynamics
immune suppressor drug
oncolytic virus
virotherapy
Potential Scenario
199
views
70
downloads
0
comments
2014-Eckhoff-EtAl-Fun with maths-exploring implications of mathematical models for malaria eradication
. In this note, four examples demonstrate both the effects of model structures and assumptions and also the benefits of using a diversity of model approaches fomalaria eradication strategies.
vaccine
malaria
migration
eradication
seasonality
Modeling Scenario
335
views
136
downloads
0
comments
1-115-ModelingWithFirstOrderODEs-ModelingScenario
Several models using first order differential equations are offered with some questions on formulating a differential equations model with solutions provided.
bacteria
falling object
Newton's Law of Cooling
drug
cooling
drag
Potential Scenario
211
views
60
downloads
0
comments
2012-Augustus-Wali-Mathematical Modeling of Uganda Population Growth
The purpose of this paper focuses on the application of logistic equation to model the population growth of Uganda using data from 1980 to 2010 (inclusive).
population growth
logistic growth
Drug and Alcohol detoxification
carrying capacity
vital coefficients
Modeling Scenario
282
views
188
downloads
0
comments
5-023-FakingGause-ModelingScenario
We use a fake or toy data set to permit discovery of the parameters in a two population protozoan model used to study paramecium and yeast competition in the 1930's studies of G. F. Gause in the Soviet Union.
competition
logistic
yeast
Gause
paramecium
poplulation
Technique Narrative
485
views
496
downloads
0
comments
1-005-NavigatingNumericalMethods-TechniqueNarrative
This technique narrative is a discovery-based approach to learning the basics of numerical methods for first order differential equations, by following the graphical and analytical perspectives of the forward Euler method and second order Taylor...
Euler's method
Taylor's Method
search and rescue
Coaast Guard
lost at sea
longitude
latitude
limit definition
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