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Downloads
Views
Date
Relevance
Technique Narrative
388
views
198
downloads
0
comments
9-001-SkinBurnModelNumericalMethods-TechniqueNarrative
The heat equation is an important partial differential equation (PDE) which describes the distribution of heat in a given region over time. Numerical methods play an important role in solving these.
Maternal-Fetal interface
heat equation
Conservation of Energyt
heat flux
Euler's forward method
central difference
skin burn
hyperthermia
thermal conductivity
layers
Potential Scenario
130
views
61
downloads
0
comments
2017-Adolfo_Rumbos-Differential Equations and modeling
The study of any phenomenon in the physical or biological sciences, in which continuity and differentiability assumptions about the quantities in question can be made, invariably leads to a differential equation, or a system of differential...
pendulum
Lotka Volterra equations
existence
uniqueness
Potential Scenario
185
views
55
downloads
0
comments
2000-Armson-Cockroft-Stone-Modelling a barnacle goose population
This paper explores a number of models for the growth of a barnacle goose population. These geese spend their summers breeding in Spitsbergen and then winter in Caerlaverock on the Solway Firth. The population growth is modelled using exponential...
population dynamics
exponential
logistic equation
Barnacle Geese
Article or Presentation
167
views
46
downloads
0
comments
2007-Joseph_Myers-Brian_Winkel-Modeling_a_Mystery_Circuit_in_Mathematics_Class_Using_Differential_Equations_Laplace_Transforms_and_Transfer_Functions
We discuss the introduction, student discovery, and teaching of a system of differential equations which model a circuit.
circuit
Laplace transform
transfer function
mystery circuit
voltage frequency
two loop circuit
Article or Presentation
168
views
38
downloads
0
comments
2008-Keith_Landry-Brian_Winkel-Peak_Frequency_Responses_and_Tuned_Mass_Dampers
We present two applications of systems of ordinary differential equations concerning excitation of a structure through resonance and (1) peak frequency responses with stabilization of the structure by means of a (2) Tuned Mass Damper (TMD).
vibration
resonance
tuned mass damper
peak frequency response
excitation
Modeling Scenario
302
views
206
downloads
0
comments
1-051-OneTankSaltModel-ModelingScenario
A large tank initially contains 60 pounds of salt dissolved into 90 gallons of water. Salt water flows in at a rate of 4 gallons per minute, with a salt density of 2 pounds per gallon. The incoming water is mixed in with the contents of the tank...
compartment
salt
tank
mixing
flow
Potential Scenario
177
views
72
downloads
0
comments
1996-D_Erdman-MM_Morelock-A Study of Kinetics
This paper introduces new and old features of the SAS System for the estimation and simulation of systems of first-order differential equations with emphasis on examples in kinetics.
simulation
kinetics
parameter estimation
Enzyme
substrate
savings
compartment
stomach
blood
ginseng
Potential Scenario
200
views
87
downloads
0
comments
1971-Carl_Metzler-Usefulness Of Two Compartment Open Model In Pharmacokinetics
Compartment models are widely used in pharmaceutical research to quantitate the kinetics of absorption, distribution, metabolism and excretion of a drug. In this article two applications of the two compartment open model are discussed.
LSD
compartment
pharmacokinetics
Modeling Scenario
420
views
327
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
219
views
456
downloads
0
comments
5-002-RelationshipDynamics-ModelingScenario
The different possible dynamics of a two-person romantic relationship are modeled -- as a linear two dimensional system of equations -- and analyzed.
love affair
Romeo and Juliet
Potential Scenario
139
views
58
downloads
0
comments
2017-Agmour-EtAl-Optimization of the Two Fishermen's Profits Exploiting Three Competing Species Where Prices Depend on Harvest
The main purpose of this work is to define the fishing effort that maximizes the profit of each fisherman, but all of them have to respect two constraints: the first one is the sustainable management of the resources and the second one is...
Fishing
harvest
Nash equilibrium
optimize
profits
Potential Scenario
274
views
68
downloads
0
comments
1968-Wagner-Aghajanian-Bing-Correlation of performance test scores with tissue concentration of lysergic acid diethylamide
This paper offers a two compartment model of lysergic acid diethylamide (LSD) in volunteer students and through parameter estimation models the amount of LSD in the tissue after its initial administration through the plasma.
LSD
correlation coefficient
compartment model
lysergic acid diethylamide
performance
test score
tissue concentration
Potential Scenario
287
views
48
downloads
0
comments
2008-Claire_Vailance-Reaction_Kinetics-Course_Notes
This is but one of several set of notes which may interest the reader on chemical kinetics.
kinetics
parameters
rate constant
chemical kinetics
reactions
Potential Scenario
147
views
43
downloads
0
comments
2011-Carl_Leinbach-Beyond Newton's law of cooling - estimation of time since death
The paper offers an excellent history of temperature-based methods and then proceeds to demonstrate these with some data. Here the history is rich and will support student investigation as well as faculty development.
time of death
Newton's aw of cooling
Article or Presentation
157
views
53
downloads
0
comments
2009-Agnes_Rash-Brian_Winkel-Birth_and_Death_Process_Modeling_Leads_to_the_Poisson_Distribution
In this paper there are details of development of the general birth and death process from which we can extract the Poisson process as a special case.
Probability
Mean
Poisson process
birth and death process
infinite number of differential equations
Modeling Scenario
369
views
440
downloads
0
comments
1-011A-Kinetics-ModelingScenario
We help students see the connection between college level chemistry course work and their differential equations coursework. We do this through modeling kinetics, or rates of chemical reaction.
kinetics
Law of Mass Action
fitting
order of reaction
chemical reaction
Modeling Scenario
274
views
186
downloads
0
comments
1-025-MixingItUp-ModelingScenario
Students build three different models for levels of salt in a tank of water and at each stage the level of complexity increases with attention to nuances necessary for success.
compartment
salt
tank
mixing
Potential Scenario
110
views
43
downloads
0
comments
1981-Geoffrey_Berresford-Differential Equations and Root Cellars
This is a classic module from UMAP in which the heat equation in one dimension is fully developed by using the standard technique of measuring the heat flow in and out of a small element of mass and equating them at equilibrium.
temperature
thermal conductivity
heat flow
thermal diffusivity
root cellar
Potential Scenario
137
views
70
downloads
0
comments
2016-Roberto_Camporesi-A fresh look at linear ordinary differential equations with constant coefficients
We present an approach to the impulsive response method for solving linear constant-coefficient ordinary differential equations of any order based on the factorization of the differential operator.
impulse
Green functions
instructional exposition
Modeling Scenario
375
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
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