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Downloads
Views
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Article or Presentation
245
views
59
downloads
0
comments
2011-Brian_Winkel-Cross_coursing_in_mathematics-physical_modeling_in_differential_equations_crossing_to_discrete_dynamical_systems
We give an example of cross coursing in which a subject or approach in one course in undergraduate mathematics is used in a completely different course.
differential equations
mathematical model
difference equation
cross course
convert
Potential Scenario
148
views
51
downloads
0
comments
2006-Loyd-Wodarz-Drug Resistance in Acute Viral Infections-Rhinovirus as a Case Study
We develop an epidemiological model that can be used to address the spread of resistance at the population level, and a virus dynamics model that can be used to study the dynamics of virus over the time course of an individual’s infection.
stability
resistance
virus
drug
epidemic competition
immune response
rhinovirus
Potential Scenario
148
views
81
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
152
views
46
downloads
0
comments
1999-Leonid_Hanin-Which tank empties first
Suppose that water towers like those shown in the opening are initially filled with water and have the same volume, height, and cross-sectional outlet area. Which one empties first?
tank
Torricelli's Law
spherical tank
empty
frustrum of cone
cylinder
Modeling Scenario
382
views
302
downloads
0
comments
1-026-Evaporation-ModelingScenario
We provide data on evaporation of 91% isopropyl alcohol in six different Petri dishes and one conical funnel and on evaporation of water in one Petri dish. We ask students to develop a mathematical model for the rate of change in the respective...
evaporation
cone
alcohol
Petri dish
Article or Presentation
169
views
88
downloads
0
comments
2015-European_Bioinformatics_Institute-Bio-Models-Database
Bio Models Database is a repository of computational models of biological processes. Models described from literature are manually curated and enriched with cross-references. All models are provided in the Public Domain.
biology
database
bioinformatics
Models
computational models
Free Online Textbook
152
views
100
downloads
0
comments
2013-Marcel_Finan-A_Second_Course_in_Differential_Equations
Location: http://faculty.atu.edu/mfinan/nnotes.html . Accessed 9 March 2023. Here you will find a whole collection of differential equations texts:
differential equations
textbook
Potential Scenario
137
views
80
downloads
0
comments
2014-Wang-EtAl-Estimating Mixed-Effects Differential Equation Models
When multiple replicates of measurements are available for the dynamic process, it is of great interest to estimate mixed-effects in the ODE model for the process. We propose a semiparametric method to estimate mixed-effects ODE models.
pharmacokinetics
dynamic models
smoothing
spline
mixed-effects models
HiV combination therapy
Potential Scenario
142
views
63
downloads
0
comments
2008-Ribbing-EtAl-Mathematical models of diabetes progression
Writing a good model for diabetes progression is difficult because the long time span of the disease makes experimental verification of modeling hypotheses extremely awkward. underlying the
physiology
clinical trials
diabetes
diabetes progression
Modeling Scenario
335
views
149
downloads
0
comments
1-105-AnimalFall-ModelingScenario
This project uses Newton's Second Law of Motion to model a falling animal with a resistance term proportional to cross sectional area of the animal, presumed to be spherical in shape.
animal
Netwon's Second Law of Motion
falling body
terminal velocity
air resistance
Newton
air friction
fall
Potential Scenario
133
views
68
downloads
0
comments
2015-Beier-EtAl-Building Context with Tumor Growth Modeling Projects in Differential Equations
Here we present two projects related to tumor growth appropriate for a first course in differential equations. They illustrate the use of problem-based learning to reinforce and extend course content via a writing or research experience.
tummor growth
research experience
Potential Scenario
172
views
53
downloads
0
comments
1998-Elly_Claus-McGahan-Modeling Projects in a Differential Equations Course
Here we discuss the value of student designed, in-depth, modeling projects in a differential equations course and how to prepare them for it.
projects
writing
population
tank
mixing
computer-aided analysis
sprinting
Potential Scenario
269
views
72
downloads
0
comments
2020-Stepien_Kostelich_Kuang-Mathematics Cancer An Undergraduate Bridge Course in Applied Mathematics
Most undergraduates have limited experience with mathematical modeling. This paper describes a course on the mathematical models of cancer growth and treatment.
differential equations
modeling
undergraduate education
cancer
tumor
Potential Scenario
164
views
74
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
277
views
58
downloads
0
comments
2012-Hassan_Moore-Using projects to stimulate learning in mathematics and engineering mathematics courses
Given that time is a premium in the academy and project creation is a time consumer, three original projects, which may be injected into any Calculus III, Differential Equations, or Engineering Mathematics course, have been created.
solutions
class projects
physical phenomenon
Free Online Textbook
163
views
58
downloads
0
comments
2014-Andre_De Ross-Modeling Population Dynamics
This course is intended as an introduction to the formulation, analysis and application of mathematical models that describe the dynamics of biological populations.
predator-prey
competition
population
growth
bifrucation
text
Potential Scenario
139
views
42
downloads
0
comments
2010-Randy_Boucher-Determining Dissolved Oxygen Levels
This is a full module given to students and the article contains comments for instructors as well.
Environmental Engineering
biochemical oxygen demand
oxygen level
Potential Scenario
106
views
47
downloads
0
comments
2006-Thomas_Lingefjard-Faces of mathematical modeling
In this paper I will discuss and exemplify my perspectives on how to teach mathematical modeling, as well as discuss quite different faces of mathematical modeling.
teaching modeling
Free Online Textbook
1453
views
197
downloads
0
comments
2011-Steven_Desjardins-Remi_Vaillancourt-Ordinary_Differential_Equations_Laplace_Transforms_and_Numerical_Methods_for_Engineers
This text is packed with worked out presentations, problems, and exercises (with solutions) and MatLab code. There is sufficient detail and attention to topics to more than address interests/needs in an introductory course.
modeling
textbook
matlab
engineering
Laplace transform
Free Online Textbook
173
views
51
downloads
0
comments
2014-Jiri_Lebl-Notes_on_Diffy_Qs_Differential_Equations_for_Engineers
There is a pdf and html version of the text as well as a purchasable paperback version. The text has pretty much all the basics, but has only a few exercises and there is very little modeling.
differential equations
textbook
engineering
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