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Downloads
Views
Date
Relevance
Potential Scenario
102
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
Potential Scenario
158
views
51
downloads
0
comments
1997-Jeff_Graham-Julia_Barnes-A Laboratory Experience for Students of Differential Equations Using RLC Circuits
Acknowleging that applied mathematics courses rarely offer any hand-on experiences the authors constructed an RLC circuit from which they collected data and validated the differential equation of the RLC circuit.
data
collections
laboratory
circuit
RLC
Potential Scenario
93
views
31
downloads
0
comments
1999-PS_Crooke-S_Hota_JJ_Martini-JR_Hochkiss-A Mathematical Model for Carbon Dioxide Exchange
A mathematical model is presented to study the effect of Tracheal Gas Insufflation (TGI) on the alveolar ventilation during passive, mechanical ventilation.
mechanical ventilation
ventilation
carbon dioxide exchange
tracheal gas insufflation
alveolar ventilation
shunt
two-compartment model
Potential Scenario
107
views
37
downloads
0
comments
1999-T_Chen-HL_He-GM_Church-S_Shafer-Modeling Gene Expression with Differential Equations
The paper proposes and give great detail for a differential equation model for gene expression with two methods for constructing the model from a set of temporal data.
gene expression
gene
kinetic
gene translation
gene transcription
Potential Scenario
95
views
36
downloads
0
comments
1987-MS_Greenwood-Using videotapes to study underdamped motion of a pendulum
Using a video camera to study the effects of air resistance acting on pendulum bob, ping-pong ball, styrofoam spheres, and brass spheres.
Video
resistance
pendulum
ping-pong ball
styrofoam ball
brass ball
Potential Scenario
92
views
30
downloads
0
comments
1992-CHF_Bulte-The differential equation of the deflection curve
This paper presents the derivation and physical meaning of the general fourth-order linear differential equation (with sectionally continuous derivatives) of the deflection curve and its general formulation and solution as a multipoint BVP.
beam
deflection
shear force
bending moment
critical load
natural frequency
Potential Scenario
110
views
36
downloads
0
comments
1992-Emelie_Kenney-Differential equations and the AIDS epidemic
This paper describes a lecture for Calculus II students in which the Acquired Immune Deficiency Syndrome was used to motivate study of first-order linear differential equations and the derivative as a rate of change.
epidemic
CDC
AIDS
Disease Control
Potential Scenario
111
views
49
downloads
0
comments
1992-John_Mathews-Bounded population growth-a curve fitting lesson
The purpose of this article is to present two methods for fitting the logistic curve to data supplied by the U. S. census bureau.
data
logistic
linearization
fitting
Potential Scenario
91
views
40
downloads
0
comments
1992-Jude_Sommerfeld-More Applied Math Problems on Vessel Draining
From a chemical engineering point of view emptying processing and storage tanks is important and this article considers many issues and shapes of containers. The main interest is in the total time it takes to empty the tank for a collection of...
Torricelli's Law
empty
Torricelli
vessel
container
Potential Scenario
120
views
39
downloads
0
comments
1994-JM_McDill-Bjorn_Felsager-The Lighter Side of Differential Equations
Although differential equations have many serious applications to the modeling of real-world problems, a few lighthearted problems can serve to motivate students and brighten their attitudes toward a computer-oriented course in differential...
cooperation
harvesting
Romeo and Juliet
love
cannibalism
overcrowding
Potential Scenario
104
views
40
downloads
0
comments
1994-Roland_Minton-A Progression of Projectiles-Examples from Sports
There is a progression of complexity and issues in projectile motion modeling from no resistance, to resistance proportional to velocity, then to velocity squared,
sports
resistance
projectile
baseball
drag
linear resistance
quadratic resistance
tennis
Potential Scenario
78
views
39
downloads
0
comments
1994-T_Gruszka-A Balloon Experiment in the Classroom
The following experiment involves a balloon, a stopwatch, and a measurement device such as a meter stick,
resistance
falling body
drag
balloon
Potential Scenario
120
views
38
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
76
views
37
downloads
0
comments
1999-F_Brauer-What Goes Up Must Come Down
This paper is a wonderfully general analysis of the following, “It is natural to ask whether a particle propelled upwards takes longer to fall to earth from its maximum height than it takes to rise to this maximum height for frictional forces.
projectile
friction
falling time
rising time
maximum height
Potential Scenario
95
views
41
downloads
0
comments
1994-M_Yamaguti-Discrete Models in Social Sciences
Also, a finite difference model in sociology is given as a chaotic phenomenon.
economics
chaos
sociology
discrete
discretization
Potential Scenario
100
views
30
downloads
0
comments
1986-Cook-Witten-One-dimensional linear and logistic harvesting models
Some of the results in the literature on simple one-dimensional, density dependent, discrete and continuous models-with and without harvesting-are reviewed.
logistic
continuous
population
linear
discrete
harvestinbg
Potential Scenario
99
views
44
downloads
0
comments
1994-Paul_Davis-Asking Good Questions about Differential Equations
A general essay about the Rule of Three – numerical, algebraic, and graphical perspectives + modeling with one illustration about Irish population.
questions
population
numerical
physical context
graphical
algebraic
Ireland
Potential Scenario
117
views
47
downloads
0
comments
1984-Marguerite_Hays-Compartmental Models for Human Iodine Metabolism
Compartmental models for the various aspects of human iodine metabolism are reviewed, emphasizing the role of Mones Berman in the development of this field.
compartment model
iodine
thyroid
Potential Scenario
119
views
38
downloads
0
comments
1999-Peter_Deuflhard-Differential Equations in Technology and Medicine
It deals with a variety of challenging real life problems selected from clinical cancer therapy, communication technology, polymer production, and pharmaceutical drug design.
cancer
design
tumor
drug
polymer
therapy
Potential Scenario
216
views
41
downloads
0
comments
1989-EY_Rodin-K_Egan-Mathematics modelling of the rate of chemical reactions
The development of improved designs for chemical reactors as well as the prediction of optimal operating conditions in chemical production are based on an understanding of the rates at which chemical processes occur.
kinetics
first order
reaction
second order
zeroth order
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