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Downloads
Views
Date
Relevance
Potential Scenario
158
views
78
downloads
0
comments
1992-John_Mathews-Bounded population growth-a curve fitting lesson
The purpose of this article is to present two methods for fitting the logistic curve to data supplied by the U. S. census bureau.
data
logistic
linearization
fitting
Potential Scenario
247
views
80
downloads
0
comments
2017-Floyd_Ballard-Dice Activities for DE Models
This document includes descriptions of four activities that are appropriate for a calculus or differential equations class, all using dice to motivate a differential equation model for a real-world scenario.
simulation
curve fitting
c
dice
collect data
class activities
analyze data
class activity
Potential Scenario
161
views
63
downloads
0
comments
2018-Dyjuan_Tatro-The_Mathematics_of_Cancer-Fitting_Gompertz_Equation_to_Tumor_Growth
Fitting the Gompertz Model to long term breast cancer study data, this project ascertains gompertzian parameters that can be used to predicts tumor growth as a function of time.
tumor
growth
Gompertz
fitting
parameter
Modeling Scenario
394
views
416
downloads
0
comments
1-102-CancerTumor-ModelingScenario
This module guides students in the use of differential equation models to predict cancer growth and optimize treatment outcomes. Several classical models for cancer growth are studied, including exponential, power law, Bertalanffy, logistic, and...
optimization
logistic
prediction
data fitting
power law
Gompertz
cancer growth
eponential
Bertalanaffy
Modeling Scenario
401
views
296
downloads
0
comments
1-102C-CancerGrowth-ModelingScenario
This module guides students in the use of differential equation models to predict cancer growth and study treatment outcomes. Several classical models for cancer growth are presented including exponential, power law, Bertalanffy, logistic, and...
optimization
cancer
logistic
exponential
prediction
tumor
growth
data fitting
power law
Bertanffy
Gompertz
Potential Scenario
184
views
49
downloads
0
comments
2012-Transtrum-Qiu-Optimal experiment selection for parameter estimation in biological differential equation models
We explore the question to what extent parameters can be efficiently estimated by appropriate experimental selection.
experimental design
systems biology
Association & Data Fitting
reaction rates
decay rates
Potential Scenario
170
views
91
downloads
0
comments
2018-Akman-EtAl-Parameter Estimation in Ordinary Differential Equations Modeling via Particle Swarm Optimization
We demonstrate Particle Swarm Optimization efficacy by showing that it outstrips evolutionary computing methods previously used to analyze an epidemic model.
epidemic
Particle Swarm Optimization
optimize parameters
Potential Scenario
152
views
45
downloads
0
comments
2010-Singh-Mishra-athematical modeling approach to study growth rate of grassroots technological innovations
In this paper we have proposed a simple mathematical model by using ordinary differential equation to know the spread rate of technological innovations in rural India.
logistic
exponential
sigmoid
technological innovations
asymptotic
spread of innovation
Technique Narrative
432
views
206
downloads
0
comments
2-005-LinearizeItAll-TechniqueNarrative
Linear approximations are often used to simplify nonlinear ordinary differential equations (ODEs) for ease in analysis. The resulting linear approximation produces an ODE where closed form solutions may be obtained.
computation
error
Torricelli's Law
data fitting
linear approximation
Modeling Scenario
372
views
222
downloads
0
comments
1-005C-OilSlick-ModelingScenario
We describe a modeling activity for Calculus I students in which modeling with difference and differential equations is appropriate.
Problem Solving
oil slick
spread
fitting
line
assumptions
Modeling Scenario
259
views
227
downloads
0
comments
1-054-GrowthInFarmland-ModelingScenario
An enriching project developing a model from data with missing temporal information is described. Students fit functions to the data that leads to the creation of a differential equations model, which they then are required to analyze in multiple...
fitting
farm
farmland
Potential Scenario
147
views
87
downloads
0
comments
2015-Doust-Saraj-The logistic modeling population having harvesting factor
The present paper deals with the logistic equation having harvesting factor, which is studied in two cases constant and non-constant.
logistic
harvest
harvesting factor
Modeling Scenario
380
views
459
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
402
views
153
downloads
0
comments
1-001s-StochasticMDeathImmigration-ModelingScenario
We develop a mathematical model of a death and immigration process using m&ms as a stochastic process with the help of probability generating functions (pgf). We start with 50 m&ms in a bag.
simulation
data
logistic
immigration
stochastic
death
fitting
Modeling Scenario
367
views
162
downloads
0
comments
1-001d-HotelPopulationDecay-ModelingScenario
You will be modeling the following situation: 100 people are in a hotel. Each day, each person has a random chance of 50% of leaving the hotel. No new people enter the hotel. Before you run the simulation in MATLAB, answer some questions.
simulation
logistic
exponential decay
fitting
Modeling Scenario
446
views
580
downloads
0
comments
1-011-Kinetics-ModelingScenario
We make the connection between chemistry course and differential equations coursework. We do this through modeling kinetics, or rates of chemical reaction. We study zeroth, first, and second order reactions.
kinetics
chemistry
Law of Mass Action
chemical kinetics
order of reaction
chemical reaction
Modeling Scenario
226
views
259
downloads
0
comments
6-029-TumorGrowth-ModelingScenario
This modeling scenario guides a student familiar with single ordinary differential equation (ODE) models towards the development of a more complex system of two ODEs for describing the evolution of tumor growth over time.
Pop_Growth Pilot
logistic
comparment
tumor
synthetic data
sum of squares error
Modeling Scenario
304
views
421
downloads
0
comments
1-165-FlushToilet-ModelingScenario
This activity analyzes the spread of a technological innovation using the Bass Model from Economics. The equation is a first-order, two-parameter separable equation and the solution has a characteristic S-shaped curve or sigmoid curve.
julia
Diffusion
innovation
rate of innovation
Bass model
Solver
Potential Scenario
146
views
82
downloads
0
comments
2017-ASHP-Intro to Pharmacokinetics and Pharmacodynamics
This is the introductory Lesson 1 in an online set of materials to introduce Pharmacokinetics and Pharmacodynamics.
absorption
compartment
bloodstream
plasma
pharmacokinetics
pharmacodynamics
therapeutic concentration range
drug disposition
drug response
Modeling Scenario
349
views
343
downloads
0
comments
1-022-SpreadOfTechnologies-ModelingScenario
We examine plots on the spread of technologies and ask students to estimate and extract data from the plots and then model several of these spread of technologies phenomena with a logistic differential equation model.
data analysis
technology
logistic
spread
innovation
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