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Downloads
Views
Date
Relevance
Potential Scenario
177
views
60
downloads
0
comments
1988-EY_Rodin-N_Taber-Yeast Growth Modelling in a Laboratory
Modeling simple growth with some missing data and doing linear regression for parameter estimation in closed form solution of differential equation model and data.
regression
yeast
growth
Potential Scenario
117
views
50
downloads
0
comments
2001-Knisley-Kerley-Using data to motivate the models used in introductory differential equations
In this paper, the data itself is used to motivate mathematical models in introductory mathematics courses. In doing so, various regression and optimization techniques are illustrated.
regression
logistic
Torricelli's Law
growth
periodic process
Potential Scenario
198
views
63
downloads
0
comments
2007-Helfgott-Seier-Some Mathematical and Statistical Aspects of Enzyme Kinetics
We will analyze some basic ideas behind enzyme kinetics, which allow us to deal with separable and linear differential equations as well as realize the need to use power series.
kinetics
Enzyme
experimental data
regresion
Potential Scenario
140
views
45
downloads
0
comments
1984-W_Brunner-D__Focht-Deterministic Three-Half-Order Kinetic Model for Microbial Degradation
The kinetics of mineralization of carbonaceous substrates has been explained by a deterministic model which is applicable to either growth or nongrowth conditions in soil.
kinetics
nonlinear regression
sum of square errors
Monodlinearize
mineralization
substrates
carbonaceous
Potential Scenario
148
views
45
downloads
0
comments
2018-Weber_Theers_Surmann_Ligges_Weihs-Sensitivity Analysis_of_Ordinary_Differential_Equation_Models
This report will focus on the sensitivity analysis of ordinary differential equation (ODE) models since they can be used to model so-called Low Frequency Oscillations (LFOs).
sensitivity
regression
parameter estimation
system
low frequency oscillations
oscillations
Potential Scenario
806
views
52
downloads
0
comments
2019-Stender_EtAl-Recovery_Of_Differential_Equations_From_Impulse_Response
In this work, a recent method, which allows reconstructing differential equations from time series data, is extended for higher degrees of automation.
time series
regression
response
impulse
oscillation
signal processing
sparse regression
system identification
Modeling Scenario
526
views
263
downloads
0
comments
1-104A-T-InfectionRisk-ModelingScenario
This project is designed to examine differences between the exponential and logistic growth models in biology and how to apply these models in solving epidemic questions and comparing to actual disease data sets.
regression
infection
COVID19
carrying capacity
logistic equation
exponential model
Potential Scenario
241
views
84
downloads
0
comments
2018-David_Bourne-Pharmacokinetics – Source Material
This is a rich source of pharmacokinetics modeling activities and data. These are syllabus notes with homework assignments listed.
bolus
pharmacokinetics
pharmacodynamic
drug distribution
Potential Scenario
190
views
65
downloads
0
comments
2008-Lawson-Marion-An Introduction to Mathematical Modelling
This is a broad based set of notes with sections: Building Models, Studying Models, and Using Models. No depth on any model, no solution strategies, but good references to models, and general approaches that apply in most situations are offered.
time series
linear regression
Akaike Information Criterion
m
comparision models
Modeling Scenario
307
views
435
downloads
0
comments
1-033-SouthernBarbeque-ModelingScenario
We offer raw data collected from two thermometers used in the smoking process of Southern barbecue. One thermometer measures the temperature inside of the smoke chamber and the other measures the internal temperature of the meat.
nonlinear regression
logistic
Newton's Law of Cooling-Warming
barbecue
Modeling Scenario
281
views
391
downloads
0
comments
1-037-CommonColdSpread-ModelingScenario
This modeling scenario guides students to simulate and investigate the spread of the common cold in a residence hall. An example floor plan is given, but the reader is encouraged to use a more relevant example.
disease
common cold
residence hall
Modeling Scenario
342
views
199
downloads
0
comments
1-005A-ChemDataCollection-ModelingScenario
A student is assigned the task of collecting data on a chemical reaction and does a poor job of collecting data. She only collects data at the start and end of a number of ten minute intervals and does not keep track of when the observations are...
linear regression
kinetics
chemistry
order of reaction
chemical reaction
chemical data
infusion
differencing
Potential Scenario
142
views
74
downloads
0
comments
2016-Manheim-EtAl-Improving Decision Support for Infectious Disease Prevention and Control
This report describes decision-support tools, including models and nonmodeling approaches, that are relevant to infectious disease prevention, detection, and response and aligns these tools with real-world policy questions that the tools can help...
infectious disease
ecosystem
epidemic
model policy
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