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Downloads
Views
Date
Relevance
Potential Scenario
192
views
44
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
139
views
44
downloads
0
comments
2002-Chai-Optimal initial angle to fire a projectile
Assume a projectile is fired without air resistance and lands at a height y above its initial vertical position. What is the optimal initial angle of firing to maximize the horizontal distance traveled by the projectile?”
optimization
projectile motion
launch angle
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
168
views
59
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
134
views
48
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
171
views
80
downloads
0
comments
2017-Ole_Witt-Hansen-Examples Of Differential Equations In Physics
This is an article from the author’s homepage. The work contains fundamental and basic background and derivation of the differential equation models for a number of phenomena.
projectile
air resistance
free fall
drag
harmonic oscillation
Potential Scenario
143
views
51
downloads
0
comments
2014-Groetsch-Yost-Vertical Projection in a Resisting Medium - Revelations on Observations of Mersenne
This article, inspired by a 17th-century woodcut, validates empirical observations of Marin Mersenne (1588–1648) on timing of vertically-launched projectiles for a general mathematical model of resistance.
resistance
projectile
Potential Scenario
150
views
77
downloads
0
comments
2004-Ledzewicz-Schattler-Application of Control Theory in Modelling Cancer Chemotherapy
In this paper we discuss how to incorporate more realistic medical aspects of chemotherapy which hitherto have been neglected in the models.
optimal control
drug resistance
pharmacokinetics
pharmacodynamics
chemotherapy
Potential Scenario
140
views
55
downloads
0
comments
2016-Lewnard-Townsend-Climatic and evolutionary drivers of phase shifts in the plague epidemics of colonial India
Our analysis shows that historical datasets can yield powerful insights into the transmission dynamics of reemerging disease agents with which we have limited contemporary experience to guide quantitative modeling and inference.
infectious disease
p
Vector-Borne Disease
lague
plague
Potential Scenario
216
views
46
downloads
0
comments
1980-Peastrel-Lynch-Armenti-Terminal velocity of a shuttlecock in vertical fall
We have performed a straightforward vertical fall experiment for a case where the effects of air resistance are important and directly measurable.
falling
terminal velocity
shuttlecock
vertical fall
Potential Scenario
142
views
47
downloads
0
comments
2008-Huangi-Lu-Modeling long-term longitudinal HIV dynamics with applications to an AIDS clinical study
To better understand the factors responsible for the virological failure, this paper develops the mechanism-based nonlinear differential equation models for characterizing long-term viral dynamics with ARV therapy.
longitudinal data
AIDS
antiretroviral drug therapy
Bayesian nonlinear mixed-effects
time-varying drug efficacy
HIV dynamics
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
Potential Scenario
338
views
58
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
103
views
47
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
52
downloads
0
comments
2007-Exben_Friis-Jensen-Modeling and Simulation of Glucose-Insulin Metabolism
In this thesis one of the models of diabetes, Bergman’s minimal model is described trough derivation and simulations.
Metabolism
insulin resistance
glucose
PID controller
intolerance
Potential Scenario
132
views
52
downloads
0
comments
1999-Meade-Struthers-Differential Equations in the New Millennium-The Parachute Problem
The parachute problem will be used to illustrate several essential features of the improved courses. In particular, it will be seen that the traditional version of the parachute problem is not very realistic.
resistance
free fall
parachute
jump
skydiving
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