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Downloads
Views
Date
Relevance
Potential Scenario
129
views
79
downloads
0
comments
2017-Zhang-Wang-Study on public opinion propagation in self media age based on time delay differential model
We establish the Logistic equation, introduce the operator time delay differential equation, and finally establish the improved delay differential equation, which can describe the propagation trend of network news from the self media.
propagation
pubic opinion
Network public opinion
propagation law
self-media
Xiongan New Area
Potential Scenario
96
views
28
downloads
0
comments
2004-Denny-Yackel-Temperature Models for Ware Hall
This paper offers some very nice extended models for cooling off a new office area for a mathematics department.
Newton's Law of Cooling
cooling
office building
Modeling Scenario
294
views
147
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
Modeling Scenario
223
views
230
downloads
0
comments
1-116-TropicalStormWindspeeds-ModelingScenario
We model the decay of tropical cyclone winds once a storm makes landfall. We use data from two recent storms from the National Hurricane Center to estimate parameters emanating from a differential equation using a first order exponential decay model.
hurricane
decay
tropical storm
cyclones
Article or Presentation
211
views
59
downloads
0
comments
2013-Brian_Winkel-Reflecting_On_Walls
We reflect on our passion for teaching mathematics, useful mathematics, by considering our understandings of just what a wall is and what a wall means to us.
mathematics
mathematical model
learning
cell wall
Potential Scenario
120
views
36
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
422
views
336
downloads
1
comments
3-104-BungeeJumping-ModelingScenario
In this project, students design a bungee jumping cord (cross-sectional area and length) that will keep jumpers safe. Students communicate their recommendations as a letter to a client interested in starting a bungee jumping business.
design
falling
mass
spring\
bungee
elesticity
recommendation
consult
Modeling Scenario
336
views
259
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
Potential Scenario
131
views
48
downloads
0
comments
2004-Jones-Song-Thomas-Controlling wound healing through debridement
In this article, a system of differential equations that models slough/wound interaction is developed.
bacteria
wound healing
healing
deriding
isocline
Potential Scenario
147
views
69
downloads
0
comments
2016-Helena_Sofia_Rodrigues-Application of SIR epidemiological model new trends
In this paper, the basic transmission model is analyzed, as well as simple tools that allows us to extract a great deal of information about possible solutions. A set of applications - traditional and new - is described to show importance of this...
epidemiology
basic reproduction number
SIR
Potential Scenario
861
views
39
downloads
0
comments
2000-Erdman-Morelock-A Study of Kinetics The Estimation and Simulation of Systems of First-Order Differential Equations
This paper introduces new and old features of the SAS System for the estimation and simulation of systems of first-order differential equations with emphasis on examples in kinetics.
kinetics
SAS
compartment
pharmacokinetics
Potential Scenario
164
views
55
downloads
0
comments
1996-D_Erdman-MM_Morelock-A Study of Kinetics
This paper introduces new and old features of the SAS System for the estimation and simulation of systems of first-order differential equations with emphasis on examples in kinetics.
simulation
kinetics
parameter estimation
Enzyme
substrate
savings
compartment
stomach
blood
ginseng
Potential Scenario
141
views
69
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
Article or Presentation
230
views
45
downloads
0
comments
2015-Differential_Equations-CUPM_Curriculum_Guide_to_Majors_in_the_Mathematical _Sciences
This is a report from the working group charged with making recommendations for the undergraduate curriculum in differential equations.
differential equations
curriculum
CUPM
Modeling Scenario
247
views
127
downloads
0
comments
3-063-FallingBuildingIce-ModelingScenario
We model the fall of a piece of ice which is falling from a high building in New York City.
resistance
falling
gravity
ice
terminal velocity
skyscrapers
Potential Scenario
97
views
39
downloads
0
comments
2001-Edwards-Buckmire-A differential equation model of North American cinematic box-office dynamics
A new mathematical model is presented for the box-office dynamics of a motion picture released in North America.
cinema
movies
box-office
Potential Scenario
147
views
48
downloads
0
comments
2019-Hu-Treinen-One-step_method_for_modelling_longitudinal_data_with_differential_equations
This study proposes a new approach to estimate the parameters in differential equation models used to describe non-linear trajectories of longitudinal data.
simulation
parameter estimation
shopping
fitting
behaviour
Potential Scenario
272
views
41
downloads
0
comments
2018-Robert_Phair-Differential_equation_methods_for_simulation_of_GFP_kinetics_in_non–steady_state_experiments
Here, we derive new tracer kinetic analytical methods for non–steady state biological systems by constructing mechanistic nonlinear differential equation models of the underlying cell biological processes.
protein quality control
kinetics
Cells
steady state
chemical kinetics
fluouresence
photoactivation
inytracellular
Potential Scenario
140
views
62
downloads
0
comments
1972-R_C_Rothermel-A Mathematical Model for Predicting Fire Spread in Wildland Fuels
The development of a mathematical model for predicting rate of fire spread and intensity applicable to a wide range of wildland fuels is presented from the conceptual stage through evaluation and demonstration of results to hypothetical fuel models.
prediction
forest fire
fire management
fire spread
fuel
Potential Scenario
120
views
47
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
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