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Downloads
Views
Date
Relevance
Potential Scenario
101
views
38
downloads
0
comments
2010-Shianga-EtAl-Computational model of the human glucose-insulin regulatory system
A computational model of insulin secretion and glucose metabolism for assisting the diagnosis of diabetes mellitus in clinical research is introduced. The
glucose tolerance test
sum of squared residuals
multiple shooting method
cost function
Potential Scenario
180
views
39
downloads
0
comments
2010-Shaza_Hussein-Predator-Prey Modeling
The objective of this project was to create five projections of animal populations based on a simple predator-prey model and explore the trends visible.
population dynamics
predator-prey
logistic equation
Endangered Cats
decreasing population
rabbits
foxes
Potential Scenario
109
views
56
downloads
0
comments
2010-Roberto_Munoz-Alicea-Mathematical Model for Enzyme Kinetics-Multiple Timescales Analysis
We study a basic model for enzyme substrate reaction. Through several assumptions and via nondimensionalization, we simplify the equations.
kinetics
Enzyme
substrate
nondimensionalization
multiple timescales
Potential Scenario
113
views
31
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
123
views
32
downloads
0
comments
2010-Kijek-Kijek-Modelling of Innovation Diffusion
This paper offers a first order differential equation model for innovation diffusion, solves it, and offers qualitative analysis as well as approaches to estimating parameters with some data on final parameters for various countries.
Bass model
innovation diffusion
Logistic model
dynamic model
Potential Scenario
118
views
46
downloads
0
comments
2010-Keesom-EtAl-Fishing for Answers Investigating Sustainable Harvesting Ra
The purpose of this report is to determine and propose a model by which an optimal harvesting frequency can be determined to maintain a steady population of Alaskan salmon.
fisheries
Euler's method
nonlinear
logistic harvesting
canabalism
salmon
Potential Scenario
166
views
46
downloads
0
comments
2010-Jungck-EtAl-Mathematical Manipulative Models-In Defense of Beanbag Biology
This paper offers up samples of projects from the Bio- QUEST Curriculum Consortium’s 24-yr experience of holding faculty development workshops for biology and mathematics educators.
epidemiology
simulation
infectious disease
disease transmission
disease
in-class activity
bean bag activity
Potential Scenario
116
views
35
downloads
0
comments
2010-Del-Ciello-EtAl-Modeling Disease
We model the transmission of a disease through a population. Such modeling is very important to the study of epidemiology and the practice of medicine.
disease
spread
carries
symptomatic
asymptomatic
Potential Scenario
304
views
83
downloads
0
comments
2010-Brian_Winkel-Parameter estimates in differential equation models for chemical kinetics
We discuss the need for devoting time in differential equations courses to modelling and the completion of the modelling process with efforts to estimate the parameters in the models using data.
kinetics
chemical kinetics
zeroth order reaction
first order reaction
second order reaction
Potential Scenario
88
views
34
downloads
0
comments
2011-Therese-Keane-Combat modelling with partial differential equations
We present work seeking to more realistically represent troop dynamics and to enable a deeper understanding of the nature of conflict.
Lanchester model
troop dynamics
swarming behavior
troop regrouping
losses
non-local terms
local terms
Potential Scenario
133
views
38
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
154
views
46
downloads
0
comments
2009-Shamim-EtAl-Investigating viscous damping using a webcam
We describe an experiment involving a mass oscillating in a viscous fluid and analyze overdamped, critically damped and underdamped regimes of harmonic motion.
laboratory
underdamped
overdamped
critically damped
harmonic motion
image processing
viscous fluid
Potential Scenario
199
views
36
downloads
0
comments
2009-Schaffer-Bronnikova-Controlling malaria
The present paper reviews potential control strategies from the viewpoint of mathematical epidemiology.
epidemiology
malaria
bifurcation
mosquito
transgenic mosquitoes
Potential Scenario
130
views
44
downloads
0
comments
2009-Reid-King-Pendulum Motion and Differential Equations
This article presents a relatively simple, real-world example that instructors can use in the classroom to let students explore the effect of simplifying assumptions on a model’s ability to reflect real-world behavior.
pendulum
physical pendulum
Potential Scenario
153
views
62
downloads
0
comments
2009-Peter-Howard-Modeling With ODE
This is a set of class notes rich in examples and ideas for modeling. There is some MatLab code in support of some of the activities.
rates
competition
population
epidemic
pendulum
carbon dating
reaction chemistry
mechanics
planetary motion
drag racing
Hamilton’s method
variational method
Potential Scenario
125
views
38
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
Potential Scenario
197
views
64
downloads
0
comments
2009-Munz-EtAl-When Zombies Attack-Mathematical modelling of an Outbreak of Zombie Infection
We introduce a basic model for zombie infection, determine equilibria and their stability, and illustrate the outcome with numerical solutions.
zombies
infection
epidemic
water treatment
latent infection
quarantine
impulsive eradication
Potential Scenario
115
views
35
downloads
0
comments
2009-Martinez-Luaces-Modelling Applications Inverse Modelling
The discussion in this paper will deal with non-typical inverse problems and how they can be used in engineering courses.
Laplace transform
inverse problem
tank
mixing
inverse
Potential Scenario
100
views
37
downloads
0
comments
2009-Marten-EtAl-Derivation and analysis of an ordinary differential equation for epilepsy dynamics
In this paper we describe how an ordinary differential equation model of corticothalamic interactions may be obtained from a more general system of delay differential equations.
delay
epilepsy dynamics
epilepsy
bistability
seizure activity
Potential Scenario
124
views
39
downloads
0
comments
2009-James_May-Nonlinear vibration control of long flexible structures
An automated, non-linear control scheme was developed to transfer energy from the fundamental vibration mode, where most vibration energy of the structures of interest resides, to higher order modes where vibration impedance was shown to be...
vibration
damping
tuned mass damper
viscous
nodal
model damping
flexible structure
energy transfer
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