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
127
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(50)
Modeling Scenario
(5)
Technique Narrative
(0)
Potential Scenario
(35)
Article or Presentation
(3)
Free Online Textbook
(6)
General Resource
(1)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(50)
ODE
(43)
PDE
(4)
Difference
(1)
Delay
(4)
Integral
(0)
First
(13)
Second
(5)
Higher
(1)
Linear
(8)
Nonlinear
(18)
System
(24)
Constant Coeff
(1)
Homogeneous
(3)
Nonhomogeneous
(1)
Other
(5)
Technique
(50)
Boundary Value Problems
(8)
Eigen Methods
(0)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(32)
Integrating Factor
(0)
Laplace Transform
(0)
Linear Algebra
(1)
Matrices
(0)
Numerical Methods
(4)
Parameter Estimation
(18)
Qualitative Behavior
(4)
Separable
(0)
Separation of Variables
(2)
Series
(0)
Substitution Methods
(0)
Theory (general)
(0)
Undetermined Coefficients
(0)
Variation of Parameters
(0)
Other
(10)
Qualitative Analysis
(50)
Equilibrium
(6)
Stability
(8)
Attractor
(0)
Phase Plane
(2)
Graphical analysis
(6)
Eigenvalue analysis
(0)
Parameters
(32)
Other
(14)
Application Area
(50)
Chemistry
(7)
Economics
(4)
Engineering
(3)
Humanities
(1)
Life Sciences
(43)
Mathematics
(36)
Modeling (general)
(35)
Physics
(4)
Social Sciences
(3)
Other
(0)
Course
(50)
Precalculus
(0)
Calculus 1
(2)
Calculus 2
(3)
Calculus 3 (multivariable)
(0)
Differential Equations
(48)
Modeling
(48)
Other
(1)
Course Level
(50)
Introductory
(48)
Upper Level
(42)
Graduate
(1)
High School
(13)
Other
(1)
Lesson Length
(50)
Portion of one class period
(2)
One class period
(2)
Multiple class periods
(0)
One term (semester or quarter)
(4)
One year
(0)
Other
(42)
Technology
(50)
Derive
(0)
Excel
(0)
GeoGebra
(0)
Maple
(2)
Mathematica
(2)
MathCad
(0)
MatLab
(2)
Octave
(0)
Python
(0)
R
(0)
SAGE
(0)
Desmos
(1)
Calculator
(0)
None
(2)
Other
(41)
Approach
(50)
Directed
(0)
Flipped
(0)
Guided
(5)
Open-ended
(0)
Discussion
(0)
Develop model
(0)
Other
(45)
Skills
(50)
Data collection
(2)
Data analysis
(20)
Programming
(1)
Statistics
(1)
Other
(31)
Key Scientific Process Skills
(5)
Reading research papers
(0)
Reviewing prior research
(1)
Asking a question
(4)
Formulating hypotheses
(4)
Designing/conducting experiments
(0)
Predicting outcomes
(0)
Gathering data/making observations
(0)
Analyzing data
(1)
Interpreting results/data
(2)
Displaying/modeling results/data
(0)
Communicating results
(1)
Translating into mathematics
(0)
Assessment Type
(5)
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
(3)
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
(5)
Written assignment: Literature review
(0)
Pedagogical Approaches
(4)
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
(0)
Physical Model
(0)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(4)
Vision and Change Core Competencies - Ability
(5)
Create and develop models
(4)
Use quantitative reasoning
(5)
Design simulations
(1)
Tap into interdisciplinary study
(0)
Communicate and collaborate with mathematics community
(0)
Communicate and collaborate with other disciplines
(0)
Understand the relationship between material and society
(0)
Principles of How People Learn
(5)
Motivates student to learn material
(5)
Focuses student on the material to be learned
(4)
Develops supportive community of learners
(1)
Leverages differences among learners
(0)
Reveals prior knowledge
(0)
Requires student to do the bulk of the work
(0)
Bloom's Cognitive Level
(5)
Foundational: factual knowledge & comprehension
(0)
Application & Analysis
(5)
Synthesis/Evaluation/Creation
(0)
Includes clear efforts on Issues
(0)
Diversity
(0)
Equity
(0)
Inclusion
(0)
Enhancement of all
(0)
Applied Filters
Downloads
Views
Date
Relevance
Article or Presentation
432
views
77
downloads
0
comments
2007-John_Jungck-Ten_Equations_that_Changed_Biology-Mathematics_in_Problem-Solving_Biology_Curricula The author
These equations were selected upon the basis of wide-spread recognition of the value of the models.
biology
equations
ten equations
Potential Scenario
110
views
63
downloads
0
comments
2015-The European Bioinformatics Institute-BioModels Database
BioModels Database is a repository of computational models of biological processes. Models described from literature are manually curated and enriched with cross-references.
computational biology
BioModels Database
bio database
life science experiments
Potential Scenario
130
views
31
downloads
0
comments
2012-Greer-Palin-Students in Differential Equations and Epidemiology Model a Campus Outbreak of pH1N1
We describe a semester-long collaboration between a mathematics class and a biology class. Students worked together to understand and model the trajectory of the pandemic H1N1, pH1N1, outbreak across campus in fall 2009.
H1N1
pandemic
spread
outbreak
pH1N1
Potential Scenario
128
views
36
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
Free Online Textbook
102
views
37
downloads
0
comments
2012-Brian_Ingalls-Mathematical_Modelling_in_Systems_Biology
This text provides an introduction to dynamic mathematical modeling of cellular processes. The emphasis is on using computational tools to investigate models of cellular phenomena.
biology
gene regulatory networks
Models
metabolic networks
signal transduction pathways
electrophysiology
Modeling Scenario
465
views
171
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
114
views
61
downloads
0
comments
2017-Guy-Bart_Stan-Modelling in Biology
This is a very rich set of notes, rich in examples and ideas for modeling. In almost all cases after a model is introduced in real context there is attention to stability analysis.
spring mass
bifurcation
mass action
limit cycles
Free Online Textbook
363
views
81
downloads
0
comments
2012-Brian_Ingalls-Mathematical Modelling in Systems Biology An Introduction
This is a comprehensive text with much biology background to motivate the mathematical modeling, exercises and answers, and many rich examples.
spatial
sensitivity analysis
gene regulatory networks
stochastic
bifurcation
metabolic networks
electrophysiology
transduction
rate laws
biochemical reactions
Free Online Textbook
116
views
55
downloads
0
comments
2014-Jeffrey_Chasnov-Lecture_Notes_on_Introduction_to_Differential_Equations
The differential equations text is 128 pages and develops and motivates the theory of the material nicely, with links to YouTube lectures to assist.
differential equations
biology
textbook
General Resource
142
views
39
downloads
0
comments
2003-Knorrenschild-Gross-Text Books on Mathematical Modeling in Biology
Text Books on Mathematical Modeling in Biology Compiled from the Internet by Michael Knorrenschild,
biology
Mathematical Biology
textbook
text
Free Online Textbook
149
views
61
downloads
0
comments
2018-Eduardo-Sontag-Lecture_Notes_on_Mathematical_Systems_Biology
I am often asked if it is OK to use these notes in courses at other universities. The answer is “of course!” though I strongly suggest that a link to my website be provided, so that students can always access the current version.
biology
textbook
systems
dyanmical system
Modeling Scenario
218
views
87
downloads
0
comments
1-104-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.
infection
logistic
exponential
covid
carrying capacity
Potential Scenario
84
views
37
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
Potential Scenario
220
views
57
downloads
0
comments
2006-Wilensky-Reisman-Thinking Like a Wolf a Sheep or a Firefly
We describe a computation-based approach that enables students to investigate the connections between different biological levels using agent-based, embodied modeling tools.
simulation
NetLogo
predator-prey
agent-based
wolf
fox
Potential Scenario
191
views
39
downloads
0
comments
2006-Juska-Gedminiene-Ivanec-Growth of Microbial Populations-Mathematical Modeling-Laboratory Exercises-Model-Based Data Analysis
The aim is to teach the students to use a fresh approach to the problems they are familiar with, to come up with an articulate verbal model after a mental effort, to express it in rigorous mathematical terms, to solve (with the aid of computers).
population growth rate
logistic equation
Verhulst equation
generation time
lag time
Potential Scenario
117
views
45
downloads
0
comments
2007-I-Liang_Chern-Mathematical Modeling and Differential Equations
In this course, I will mainly focus on, but not limited to, two important classes of mathematical models by ordinary differential equations: • population dynamics in biology • dynamics in classical mechanics.
population dynamics
ecology
dynamics
classical mechanics
chemical reaction
Potential Scenario
123
views
42
downloads
0
comments
1935 GFGause Article Predator Prey Oscillations
N/A
Lotka-Volterra
predator
paramecium
prey
cycle
oscillate
Potential Scenario
117
views
31
downloads
0
comments
2013-Alicia_Caldwell-Students Rise to the Challenge of Modeling Yeast Growth Despite Sour Hiccups from Imperfect Data
This paper describes a lab in which students in an Applied Mathematics in Biology course observe the growth of Saccharomyces cerevisiae, a yeast strain, in differing sugar concentrations for use in learning modeling.
Saccharomyces cerevisiae
logistic
yeast
death
growth
sugar
alcohol
Potential Scenario
97
views
27
downloads
0
comments
1998-K_H_Louie_Clark-P_C_D_Newton-Analysis of differential equation models in biology-clover meristem populations
A simple differential equation model (dynamical system) for clover, based on meristem numbers, is outlined and analysed mathematically.
sensitivity analysis
stability analysis
steady states
growing points
buds
meristems
Modeling Scenario
207
views
202
downloads
0
comments
1-098-NeuronDetection-ModelingScenario
Students study a linear, first order, one-dimensional ordinary differential equation (ODE) and learn how it can help understand basics of neural dynamics. The modeling framework is known in mathematical neuroscience as ``integrate-and-fire''...
biology
neuroscience
neuron physiology
voltage
integrate and fire
threfhols
coincidence detection
RC circuit
Results 1 - 20 of 50
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
Next
End