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Downloads
Views
Date
Relevance
Potential Scenario
142
views
46
downloads
0
comments
2017-Lia_Vas-Modeling With Differential Equations
This is a set of class notes for Lia Vas in which examples from population, falling objects, tank mixing, growth and threshold, are offered.
thresholds
falling object
growth
tank mixing
Potential Scenario
213
views
62
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
319
views
46
downloads
0
comments
2017-Jun_Liu-Hammer Throwing parameters optimization model research based on flight dynamical differential equation
With progress of times, sports techniques are also rapidly developing, in order to let Chinese hammer throwers more quickly improve themselves levels.
sports
projectile
hammer throw
release angle
Potential Scenario
173
views
68
downloads
0
comments
2017-Jean-Roux-Mathematical Models in Air Quality Problems
Presents many models with analysis in air quality control. Starts with chemical kinetics models and builds complexity to PDE models.
air pollution effects on forest ecosystems
finite volume method
boundary layer
chemical kinetics
finite difference
emissions
depositions
advection
Potential Scenario
154
views
37
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
131
views
64
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
Potential Scenario
175
views
54
downloads
0
comments
2017-GR_Gustafson-Differential Equations Course Materials
There are many applications from compartment and cascade analysis, recycling brine tank, home heating with multiple rooms, chemostat, microbes, heartbeats, lidocaine, nutrient flow in an aquarium, biomass transfer, pesticides, forecasting prices,...
chemostat
microbes
biomass
forecasting
transfer
compartment
pesticides
earthquake
tank
heating
lidocaine
brine
heartbeats
nutrient flow
aquarium
electric networks
circuits
logging
building
cascade
Potential Scenario
157
views
68
downloads
0
comments
2017-Gilbert-Lewis-Harvesting of renewable natural resource
This is a resource to accompany a commercial text book and has a tutorial nature with some analysis and several good exercises
logistic
maximum sustainable yield
whale
harvest
renewable resource
constant harvest
Potential Scenario
125
views
83
downloads
0
comments
2017-Fred_Adler-Mathematically Modeling Asthma
Our Asthma models have examined how a viral infection can tip the immune system into a different state, with the potential to predispose an individual to future asthma
infection
asthma
immune response
rhinovirus
Potential Scenario
205
views
69
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
129
views
66
downloads
0
comments
2017-David_Morin-Oscillations
So needless to say, an understanding of oscillations is required for an understanding of waves.
damping
frequency response
resonance
oscillation
beats
underdamping
harmonic oscillators
over damping
critical damping
Potential Scenario
157
views
55
downloads
0
comments
2017-D_Goulet-Modeling, Simulating, and Parameter Fitting of Biochemical Kinetic Experiments
In many chemical and biological applications, systems of differential equations containing unknown parameters are used to explain empirical observations and experimental data. The differential equations are typically nonlinear.
optimization
Biochemistry
sensitivity analysis
chromatography
mass action
cluster analysis
conservation laws
dimerization
estrogen receptor protein
Potential Scenario
141
views
49
downloads
0
comments
2017-CW_Groetsch-Hammer and Feather - Some Calculus of Mass and Fall Time
Does a heavy object fall faster than a lighter one? In 1971 NASA astronaut Dave Scott, Commander of the Apollo 15 lunar mission, used a hammer and a falcon feather on the surface of the moon to give a dramatic illustration that this is not so.
gravity
free fall
linear resistance
quadratic resistance
hammer
feather
Moon resistance
Galileo
Potential Scenario
215
views
85
downloads
0
comments
2017-Chávez-EtAl-Modeling and Analysis of Integrated Pest Control Strategies via Impulsive Differential Equations
The paper is concerned with the development and numerical analysis of mathematical models used to describe complex biological systems in the framework of Integrated Pest Management (IPM).
bifurcations
chaos
impulsive model
limit cycles
hysteretic effects
period-doubling cascades
Potential Scenario
183
views
67
downloads
0
comments
2014-XM-Huang-Ordinary Differential Equation Model and its Application in the Prediction Control of Population
In this paper, we study two kinds of ordinary differential equation models, i.e., Malthus model and Logistic model, and discuss their applications in the prediction control of population.
population dynamics
Logistic model
Malthus Model
Population Prediction Control
Potential Scenario
127
views
69
downloads
0
comments
2014-Wrona-EtAl-Two-compartment model as a teaching tool for cholesterol homeostasis
To investigate cholesterol transport in the circulatory system, we have previously developed a two-compartment mathematical model. Here, we show how this model can be used as a teaching tool for cholesterol homeostasis.
metabolic syndrome
compartment model
cholesterol
high blood cholesterol
Potential Scenario
136
views
74
downloads
0
comments
2014-Do-Lee-A Differential Equation Model for the Dynamics of Youth Gambling
We examine the dynamics of gambling among young people aged 16–24 years, how prevalence rates of at-risk gambling and problem gambling change as adolescents enter young adulthood, and prevention and control strategies.
reproductive number
Gambling
epidemic
sensitivity index
youth gambling
Potential Scenario
113
views
44
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
drug
pharmacodynamics
Potential Scenario
121
views
78
downloads
0
comments
2017-Bruce_Emerson-Wonderful World of Differential Equations
This is a terrific set of noted with models and applications woven into the material at every opportunity and data as well. This is introductory differential equations with attention to detail and motivation.
Newton's Second Law of Motion
Newton's Law of Cooling
reactions
Poiseuille’s Law
stopping distance
rate of change
problems
modeling opportunities
Potential Scenario
113
views
54
downloads
0
comments
2017-Brandi-Garcia-Motivating engineering students to math classes - Practical experience teaching ODEs
In this paper we propose an approach to teaching-learning process of mathematical concepts to engineering students with a motivational factor: a practical problem to be modeled in which students must apply concepts seen in class, in particular...
computational tools
teaching
engineering students
practical problem
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