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
196
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(546)
Modeling Scenario
(230)
Technique Narrative
(4)
Potential Scenario
(270)
Article or Presentation
(32)
Free Online Textbook
(9)
General Resource
(1)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(546)
ODE
(502)
PDE
(26)
Difference
(37)
Delay
(25)
Integral
(4)
First
(216)
Second
(96)
Higher
(5)
Linear
(143)
Nonlinear
(174)
System
(227)
Constant Coeff
(50)
Homogeneous
(61)
Nonhomogeneous
(53)
Other
(11)
Technique
(546)
Boundary Value Problems
(49)
Eigen Methods
(10)
Exact Equations
(0)
Fourier Series
(1)
Initial Value Problems
(419)
Integrating Factor
(14)
Laplace Transform
(11)
Linear Algebra
(3)
Matrices
(5)
Numerical Methods
(79)
Parameter Estimation
(231)
Qualitative Behavior
(48)
Separable
(36)
Separation of Variables
(53)
Series
(2)
Substitution Methods
(4)
Theory (general)
(4)
Undetermined Coefficients
(2)
Variation of Parameters
(0)
Other
(32)
Qualitative Analysis
(546)
Equilibrium
(67)
Stability
(63)
Attractor
(3)
Phase Plane
(29)
Graphical analysis
(153)
Eigenvalue analysis
(6)
Parameters
(366)
Other
(89)
Application Area
(546)
Chemistry
(47)
Economics
(38)
Engineering
(65)
Humanities
(8)
Life Sciences
(259)
Mathematics
(286)
Modeling (general)
(435)
Physics
(164)
Social Sciences
(71)
Other
(2)
Course
(546)
Precalculus
(3)
Calculus 1
(8)
Calculus 2
(139)
Calculus 3 (multivariable)
(6)
Differential Equations
(532)
Modeling
(518)
Other
(2)
Course Level
(546)
Introductory
(532)
Upper Level
(497)
Graduate
(5)
High School
(248)
Other
(6)
Lesson Length
(546)
Portion of one class period
(133)
One class period
(95)
Multiple class periods
(26)
One term (semester or quarter)
(4)
One year
(0)
Other
(308)
Technology
(546)
Derive
(1)
Excel
(55)
GeoGebra
(3)
Maple
(16)
Mathematica
(127)
MathCad
(0)
MatLab
(36)
Octave
(5)
Python
(6)
R
(4)
SAGE
(3)
Desmos
(2)
Calculator
(1)
None
(25)
Other
(330)
Approach
(546)
Directed
(24)
Flipped
(0)
Guided
(217)
Open-ended
(13)
Discussion
(5)
Develop model
(10)
Other
(303)
Skills
(546)
Data collection
(82)
Data analysis
(273)
Programming
(10)
Statistics
(12)
Other
(266)
Key Scientific Process Skills
(237)
Reading research papers
(0)
Reviewing prior research
(21)
Asking a question
(225)
Formulating hypotheses
(198)
Designing/conducting experiments
(44)
Predicting outcomes
(76)
Gathering data/making observations
(61)
Analyzing data
(104)
Interpreting results/data
(121)
Displaying/modeling results/data
(114)
Communicating results
(93)
Translating into mathematics
(4)
Assessment Type
(236)
Assessment of individual student performance
(1)
Assessment of student groups/teams
(3)
Assignment
(1)
Exam/quiz, in class
(0)
Exam/quiz, take home
(0)
Homework
(214)
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
(1)
Informal in-class report
(1)
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)
(1)
Written assignment: One minute paper
(1)
Written assignment: Brochure
(0)
Written assignment: Essay
(4)
Written assignment: Figure and or figure legend
(0)
Written assignment: Report
(221)
Written assignment: Literature review
(0)
Pedagogical Approaches
(212)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(11)
Clicker Question
(0)
Collaborative Work
(8)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(10)
Physical Model
(6)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(190)
Vision and Change Core Competencies - Ability
(234)
Create and develop models
(226)
Use quantitative reasoning
(206)
Design simulations
(40)
Tap into interdisciplinary study
(41)
Communicate and collaborate with mathematics community
(6)
Communicate and collaborate with other disciplines
(28)
Understand the relationship between material and society
(2)
Principles of How People Learn
(233)
Motivates student to learn material
(224)
Focuses student on the material to be learned
(214)
Develops supportive community of learners
(5)
Leverages differences among learners
(8)
Reveals prior knowledge
(7)
Requires student to do the bulk of the work
(5)
Bloom's Cognitive Level
(219)
Foundational: factual knowledge & comprehension
(11)
Application & Analysis
(211)
Synthesis/Evaluation/Creation
(5)
Includes clear efforts on Issues
(2)
Diversity
(1)
Equity
(2)
Inclusion
(1)
Enhancement of all
(1)
Applied Filters
Downloads
Views
Date
Relevance
Modeling Scenario
309
views
475
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
Potential Scenario
104
views
40
downloads
0
comments
2004-Aldo_Rescigno-On the use of pharmacokinetic models
In this paper I will define in a simple and logical way a set of useful pharmacokinetic parameters and show how their estimation depends on the assumed model.
compartment
steady state
pharmacokinetics
volume distribution
Potential Scenario
121
views
45
downloads
0
comments
2019-Banuelos_Danet_Flores_Ramos-Epidemiological_Math_Model_Approach_To_Political_System_with_Three_Parties
A nonlinear compartmental model is derived to study the movement between classes of voters with the assumption of a constant population that is homogeneously mixed.
politics
parameters
voting
compartment model
epidemiological model
equilibria
three-party system
Potential Scenario
861
views
39
downloads
0
comments
2000-Erdman-Morelock-A Study of Kinetics The Estimation and Simulation of Systems of First-Order Differential Equations
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.
kinetics
SAS
compartment
pharmacokinetics
Modeling Scenario
290
views
468
downloads
0
comments
5-005-Dialysis-ModelingScenario
We design a compartment model of a kidney dialysis machine and compare 3 and 9 compartments for the machine as well as determine the effect of change in one of the parameters in the model on the effectiveness to deliver quality dialysis.
countercurrent multiplier
kidney
dialysis
concurrent
compartment
Potential Scenario
135
views
41
downloads
0
comments
2006-Ousmane_Mousa_Tessa-Mathematical model for control of measles by vaccination
In this article, we use a compartmental mathematical model of the dynamics of measles spread within a population with variable size to provide this framework.
vaccination
compartment
herd immunity
measles
optimal strategy
Potential Scenario
133
views
41
downloads
0
comments
2009-Noakes-Sleigh-Mathematical models for assessing the role of airflow on the risk of airborne infection in hospital wards
Understanding the risk of airborne transmission can provide important information for designing safe healthcare environments with an appropriate level of environmental control for mitigating risks.
infection
compartment
hospital
ventilation
airborne
sthochastic
Wells–Riley
Modeling Scenario
267
views
173
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
190
views
215
downloads
0
comments
5-020-ParacetamolAbsorption-ModelingScenario
We offer drug absorption data on paracetamol, an analgesic pain reliever, for two different sets of patients, vegetarian and non-vegetarian. Students build a two compartment model for plasma and non-plasma (tissue) compartments of human patients.
paracetamol
analgesic
vegetarian
non-vegetarian
Potential Scenario
115
views
34
downloads
0
comments
2005-P_Howard-Modeling with ODE
In these notes we consider three critical aspects in the theory of ordinary differential equations: developing models of physical phenomena, mathematically well-posed, solving ODE numerically .
Fluid Mechanics
compartment
populations
variational methods
Hamiltonian mechanics
Modeling Scenario
274
views
377
downloads
0
comments
1-065-AlgalBlooms-ModelingScenario
This modeling scenario investigates the massive algal blooms that struck Lake Chapala, Mexico, starting in 1994.
direction fields
tool:dfield
algae
harmful algae blooms
population
compartment
Lake Chapala
Modeling Scenario
190
views
186
downloads
0
comments
1-134-LanguageDynamics-ModelingScenario
Students will be introduced to a mathematical model for language dynamics. Specifically, the model describes the change in the fraction of a population speaking one language over another.
language
compartment
phase lines
bifurcation
switching
Potential Scenario
231
views
63
downloads
0
comments
2014-Blomhøj-EtAl-Compartment models
An overview of compartment models with many rich illustrations and much attention to various numerical methods in solutions of the resulting differential equations using Matlab. Also included is a section on the limitations of compartment models.
concentration
kinetics
physiology
compartment
salt
tank
balance
reactions
mink
bathtub
Modeling Scenario
322
views
528
downloads
0
comments
6-007-FunctionsAndDerivativesInSIRModels-ModelingScenario
Given a system of differential equations, how do the solution graphs compare with the graphs of the differential equations? Students tackle this question using SIR models for well-known infectious diseases.
epidemiology
species interactions
derivatives
visualization
infection
SIR models
Law of Mass Action
Potential Scenario
144
views
73
downloads
0
comments
2009-Su-EtAl-Fitting Compartmental Models to Multiple Dose Pharmacokinetic Data using SAS
In the case of a multiple dose study where subjects experience different dosing times, a superposition principle can be used to recursively account for each additional dose.
SAS
superposition
pharmacokinetics
compartmental models
multiple dose
Potential Scenario
119
views
37
downloads
0
comments
2005-Minna_Wedenberg-Pharmacokinetic modeling of gastric emptying
The development of new drug substances is a complex, time consuming and expensive process. Reducing the time for drug development and avoiding late termination of candidate drugs are important challenges for the pharmaceutical industry.
paracetamol
pharmacokinetics
stomach
small intestine
sulfapyridine
Potential Scenario
142
views
62
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
150
views
68
downloads
0
comments
2011-Nakul-Chitnis-Introduction to Mathematical Epidemiology - Deterministic Compartmental Model
Deterministic compartmental models form the simplest models in the mathematical study of infectious disease dynamics. They assume that a population is homogenous (all people are the same) and the only distinction is in their disease state.
sensitivity
disease
infection
threshold
compartment
bifrucation
Modeling Scenario
594
views
358
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
Modeling Scenario
199
views
223
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
Results 21 - 40 of 546
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
4
5
6
7
Next
End