Skip to Main Content
Powered by
QUBES
Login
close
SCUDEM
EXPO
SIMIODE EXPO 2024
SIMIODE EXPO 2023
SIMIODE EXPO 2022
SIMIODE EXPO 2021
Textbook
Redeem Access or Download Code
Third Party Sales
Browse
Starter Kit
Authors
About
Newsletter
Members
219
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(25)
Modeling Scenario
(8)
Technique Narrative
(0)
Potential Scenario
(15)
Article or Presentation
(2)
Free Online Textbook
(0)
General Resource
(0)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(25)
ODE
(23)
PDE
(4)
Difference
(0)
Delay
(1)
Integral
(0)
First
(9)
Second
(2)
Higher
(0)
Linear
(5)
Nonlinear
(10)
System
(12)
Constant Coeff
(1)
Homogeneous
(3)
Nonhomogeneous
(1)
Other
(0)
Technique
(41)
Boundary Value Problems
(4)
Eigen Methods
(0)
Exact Equations
(0)
Fourier Series
(1)
Initial Value Problems
(37)
Integrating Factor
(0)
Laplace Transform
(0)
Linear Algebra
(0)
Matrices
(0)
Numerical Methods
(5)
Parameter Estimation
(25)
Qualitative Behavior
(3)
Separable
(2)
Separation of Variables
(4)
Series
(1)
Substitution Methods
(0)
Theory (general)
(0)
Undetermined Coefficients
(0)
Variation of Parameters
(0)
Other
(3)
Qualitative Analysis
(25)
Equilibrium
(3)
Stability
(3)
Attractor
(0)
Phase Plane
(0)
Graphical analysis
(4)
Eigenvalue analysis
(0)
Parameters
(23)
Other
(0)
Application Area
(25)
Chemistry
(0)
Economics
(3)
Engineering
(1)
Humanities
(0)
Life Sciences
(16)
Mathematics
(16)
Modeling (general)
(20)
Physics
(4)
Social Sciences
(4)
Other
(0)
Course
(25)
Precalculus
(0)
Calculus 1
(0)
Calculus 2
(4)
Calculus 3 (multivariable)
(1)
Differential Equations
(25)
Modeling
(22)
Other
(0)
Course Level
(25)
Introductory
(25)
Upper Level
(23)
Graduate
(1)
High School
(9)
Other
(0)
Lesson Length
(25)
Portion of one class period
(4)
One class period
(3)
Multiple class periods
(1)
One term (semester or quarter)
(0)
One year
(0)
Other
(17)
Technology
(25)
Derive
(0)
Excel
(4)
GeoGebra
(1)
Maple
(2)
Mathematica
(4)
MathCad
(0)
MatLab
(3)
Octave
(1)
Python
(1)
R
(0)
SAGE
(1)
Desmos
(0)
Calculator
(0)
None
(0)
Other
(15)
Approach
(25)
Directed
(1)
Flipped
(0)
Guided
(7)
Open-ended
(1)
Discussion
(0)
Develop model
(0)
Other
(16)
Skills
(25)
Data collection
(4)
Data analysis
(17)
Programming
(0)
Statistics
(3)
Other
(7)
Key Scientific Process Skills
(9)
Reading research papers
(0)
Reviewing prior research
(2)
Asking a question
(9)
Formulating hypotheses
(9)
Designing/conducting experiments
(3)
Predicting outcomes
(2)
Gathering data/making observations
(4)
Analyzing data
(7)
Interpreting results/data
(8)
Displaying/modeling results/data
(6)
Communicating results
(6)
Translating into mathematics
(0)
Assessment Type
(8)
Assessment of individual student performance
(0)
Assessment of student groups/teams
(0)
Assignment
(0)
Exam/quiz, in class
(0)
Exam/quiz, take home
(0)
Homework
(7)
Answer clicker-type question(s)
(0)
Answer essay question(s)
(0)
Answer fill in the blank question(s)
(0)
Answer multiple choice question(s)
(0)
Answer short answer question(s)
(0)
Answer true/false question(s)
(0)
Create a concept map
(0)
Create a diagram, drawing, figure, etc.
(0)
Create a website
(0)
Create graph, table etc. to present data
(0)
Design an experiment or research study
(0)
Design/present a poster
(0)
Give an oral presentation
(0)
Informal in-class report
(0)
Interpret data
(0)
Order items (e.g. strip sequence)
(0)
Participate in discussion
(0)
Peer evaluation
(0)
Post-test
(0)
Pre-test
(0)
Produce a video or video response
(0)
Respond to metacognition/reflection prompt
(0)
Self evaluation
(0)
Solve problem(s)
(0)
Written assignment: One minute paper
(0)
Written assignment: Brochure
(0)
Written assignment: Essay
(0)
Written assignment: Figure and or figure legend
(0)
Written assignment: Report
(8)
Written assignment: Literature review
(0)
Pedagogical Approaches
(7)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(0)
Clicker Question
(0)
Collaborative Work
(0)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(1)
Physical Model
(0)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(6)
Vision and Change Core Competencies - Ability
(9)
Create and develop models
(9)
Use quantitative reasoning
(9)
Design simulations
(2)
Tap into interdisciplinary study
(2)
Communicate and collaborate with mathematics community
(1)
Communicate and collaborate with other disciplines
(1)
Understand the relationship between material and society
(0)
Principles of How People Learn
(8)
Motivates student to learn material
(8)
Focuses student on the material to be learned
(8)
Develops supportive community of learners
(1)
Leverages differences among learners
(1)
Reveals prior knowledge
(0)
Requires student to do the bulk of the work
(0)
Bloom's Cognitive Level
(8)
Foundational: factual knowledge & comprehension
(0)
Application & Analysis
(8)
Synthesis/Evaluation/Creation
(1)
Includes clear efforts on Issues
(0)
Diversity
(0)
Equity
(0)
Inclusion
(0)
Enhancement of all
(0)
Applied Filters
Downloads
Views
Date
Relevance
Potential Scenario
163
views
69
downloads
0
comments
2015-Zhang-EtAl-On the Selection of ODE Models with Application to Predator-Prey Dynamical Models
We propose a computationally inexpensive approach that employs statistical estimation of the full model, followed by a combination of a least squares approximation (LSA) and the adaptive Lasso.
least-squares approximation
Spline modeling
Monte Carlo simulations
variable selection
adaptive LASSO
Potential Scenario
140
views
50
downloads
0
comments
1975-Rodda-Sampson-Smith-The One-Compartment Open Model Parameter Estimation
A new estimation procedure is proposed for estimating the parameters of the simplest pharmacokinetic model, the one-compartment open model.
compartment model
pharmacokinetics
nonlinear estimation
one compartment model
Potential Scenario
219
views
51
downloads
0
comments
1999-Khorasheh-Ahmadi-Gerayeli-Application of Direct Search Optimization for Pharmacokinetic Parameter Estimation
For simple pharmacokinetic compartmental models, analytical solution to the governing differential equations provide a mean to evaluate the associated rate constants. Such methods, however, can not be used used for more complex multi-compartment...
sum of square errors
least squares
pharmacokinetics
lineteics
compartmental models
direct search
Potential Scenario
236
views
82
downloads
0
comments
2017-Justin_Krueger-Parameter Estimation Methods for Ordinary Differential Equation Models with Applications to Microbiology
We demonstrate the feasibility of principal differential analysis using simulation studies and then apply the method to intestinal and vaginal microbiota data.
microbiology
Lotka Volterrra
microbiota
Potential Scenario
109
views
49
downloads
0
comments
2008-Brewer-EtAl-Fitting ordinary differential equations to short time course data
In this paper, we present a survey of existing algorithms and describe the main approaches. We also introduce and evaluate a new efficient technique for estimating ODEs linear in parameters particularly suited to situations where noise levels are...
time series
Evaluation SPLINE
gene
least squares
bifurcation
Modeling Scenario
250
views
209
downloads
0
comments
1-066-USCensusModeling-ModelingScenario
The United States Census, conducted every 10 years, gives data on the United States population, that can be modeled with the exponential, logistic, or Gompertz functions.
data
logistic
population
Gompertz
census
goodness of fit
Potential Scenario
757
views
70
downloads
0
comments
2013-Fathalla_Rihan-Delay Differential Equations in Biosciences - Parameter estimation and sensitivity analysis
This is a review article to show that delay differential models have a richer mathematical framework (compared with models without memory or after-effects) and a better consistency with biological phenomena such dynamical diseases and cell growth...
epidemiology
sensitivity
Immunology
physiology
RK-methods
time-lags
Article or Presentation
177
views
79
downloads
0
comments
SIMIODE Spring 2024 Webinars - WikiModel
WikiModel is cloud-based application and requires no installation and is run via a web-browser to facilitate rapid implementation. Equations are typed in as they appear in a textbook. ODEs are automatically integrated via Runge-Kutta methods.
modeling
Software
tool
application
WikiModel
modeling cycle
Modeling Scenario
263
views
416
downloads
0
comments
3-090-OneSpringMass-ModelingScenario
We lead students through building a mathematical model for a single mass (bob)-spring system that is hanging vertically. We also lead the students, using data that they collect together with their model to approximate the value of the spring...
undamped
sum of square errors
mass spring
Hooke's Law
oscilation
least-squares approximation
Modeling Scenario
237
views
439
downloads
0
comments
6-026-IsleRoyaleModeling-ModelingScenario
The primary aim of this project is to draw a connection between differential equations and vector calculus, using population ecology modeling as a vehicle.
ecology
optimization
predator-prey
population
vector calculus
Lagrange multipliers
least squares
Islel Royale
Modeling Scenario
292
views
373
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
151
views
61
downloads
0
comments
2007-Mogen_Steffensen-Differential Equations in Finance and Life Insurance
The mathematics of finance and the mathematics of life insurance were always intersecting. Life insurance contracts specify an exchange of streams of payments between the insurance company and the contract holder.
finance
disability
life insurance
mortality
insurane
Thiele’s equation
Black-Scholes equation
Potential Scenario
233
views
92
downloads
0
comments
2017-Xiang_Liu-Mathematical Studies of Optimal Economic Growth Model with Monetary
In this paper, efforts will be made to study an extended Neoclassic economic growth model derived from Solow-Swan Model and Ramsey-Cass-Koopsman Model.
Optimal Control Theory
Jacobian
Solow-Swan model
Monetary policy
optimal economic growth
Potential Scenario
170
views
42
downloads
0
comments
2017-Helen-Byrne-Further Mathematics Biology
These studies will be in the context of ecological, biological and biochemical applications.
epidemics
chemotaxis
enzyme-substrate
ion channels
nerve pulses
gene proagation
tumour
Potential Scenario
220
views
71
downloads
0
comments
2014-Vance-Eads-Sensitivity Analysis of a Three-Species Nonlinear Response Omnivory Model with Predator Stage Structure
We investigate a three-species nonlinear response omnivory model incorporating stage structure in the top predator. The model consists of four coupled ordinary differential equations involving fourteen parameters.
stage structure
sensitivity analysis
mortality
omnivore
omnivory model
search rates
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
222
views
340
downloads
0
comments
6-019-EnablingEpidemicExploration-ModelingScenario
We became aware of several interesting possibilities for a modeling opportunity with data and we invited you to explore the several routes to parameter estimation in a SIR model with respect to the data offered.
Akaike Information Criterion
Michaelis-Menten
epidemic
saturation
gradient
least sum of square errors
Potential Scenario
142
views
55
downloads
0
comments
2018-Adeniji-EtAl-InverseProblemHolling-TannerModel
We consider the inverse problem of parameter identification of nonlinear system of ODEs for a specific case of complete information about solution of the Holling-Tanner model for finite number of points for the finite time interval.
goal function
absolute error curves
invers method
holling-Tanner model
Potential Scenario
156
views
70
downloads
0
comments
2014-Michael_Monagan-The Mortgage Payment Problem Approximating a Discrete Process with a Differential Equation
In this article and a subsequent article I will give two non-standard examples that I've found helpful. The one presented here is a first order linear system. Second order systems and non-linear systems.
compartment
heating
house
Potential Scenario
134
views
47
downloads
0
comments
2012-Nokkaew-EtAl-Estimation of Algae Growth Model Parameters by a Double Layer Genetic Algorithm
This paper presents a double layer genetic algorithm (DLGA) to improve performance of the information-constrained parameter estimations.
optimization
algae growth
genetic algorithms
simulated data
convergence of parameters
Results 1 - 20 of 25
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
Next
End