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Modeling Scenario
356
views
207
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
Modeling Scenario
379
views
199
downloads
0
comments
1-016-DogDrugs-ModelingScenario
We offer a problem to determine the necessary drug administration in order to keep a dog sedated with specific information on half-life for an exponentially decaying presence of the drug in the body.
wild_dogs
drug discovery
half-life
pentobarbital sodium
anesthesia
Modeling Scenario
314
views
231
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
Modeling Scenario
344
views
130
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
261
views
185
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
337
views
537
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
Modeling Scenario
652
views
398
downloads
0
comments
5-011-ModelingIbuprofren-ModelingScenario
We consider modeling of data from a clinical experiment administered as oral doses of 400 mg ibuprofen, an analgesic pain reliever. Concentrations of ibuprofen in the serum/plasma of the subjects were recorded after the initial ingestion of the...
data
AIC
Akaike Information Criterion
absorption
sum of square errors
compartment model
ibuprofen
delay
Technique Narrative
490
views
164
downloads
0
comments
5-012-LinearSystemConjecture-TechniqueNarrative
Students go from the solution for y'(t) = k*y(t) to a natural extension to the solution conjecture of a system of two constant coefficient, homogeneous, linear differential equations introducing eigenvalues and eigenvectors through student...
discovery learning
conjecture
solution
substitution
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