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Downloads
Views
Date
Relevance
Modeling Scenario
193
views
147
downloads
0
comments
9-030-WaterHammer-ModelingScenario
We develop and apply a numerical algorithm that solves a system of two nonlinear partial differential equations (PDEs) that describes the time evolution of the water hammer phenomenon.
Stock and Flow model
hyperbolic equations
finite differences
water hammer
hydrodynamics
compressibility
wave celerity
Potential Scenario
189
views
80
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
142
views
55
downloads
0
comments
2018-Adeniji-EtAl-InverseProblemHolling-TannerModel
We consider the inverse problem of parameter identification of nonlinear system of ODEs for a specific case of complete information about solution of the Holling-Tanner model for finite number of points for the finite time interval.
goal function
absolute error curves
invers method
holling-Tanner model
Potential Scenario
124
views
47
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
Modeling Scenario
295
views
118
downloads
0
comments
5-036-HalfCarVibration-ModelingScenario
Vibration vehicle models provide an opportunity to integrate vehicle-based vibrations into a mechanical engineering vibrations course. The project is on a multiple-degree-of-freedom (MDOF) including pitch and bounce of vehicle body on suspension...
vibration
vehicle
half-car model
finite element analysis
shock absorbers
suspension
Potential Scenario
236
views
82
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
Technique Narrative
890
views
116
downloads
0
comments
3-090-ChebyshevPolynomialSolution-TechniqueNarrative
The Chebyshev equation is presented as a vehicle to view series solutions techniques for linear, second order homogeneous differential equations with non-constant coefficients.
series soluotion
polynomial solutions
Chebyshev polynomials
Chebyshev differential equations
Potential Scenario
155
views
40
downloads
0
comments
2014-Brun-EtAl-An introduction to the mechanics of the lasso
Here, we study the mechanics of the simplest rope trick, the Flat Loop, in which the rope is driven by the steady circular motion of the roper’s hand in a horizontal plane.
bifurcation
motion
lasso
rod model
rodeo
Potential Scenario
171
views
53
downloads
0
comments
1972-Suresh_Sethi-Optimal Control of the Vidale-Wolfe Advertising Model
This paper considers an optimal-control problem for the dynamics of the Vidale-Wolfe advertising model, the optimal control being the rate of advertising expenditure to achieve a terminal market share within specified limits.
Optimal Control Theory
advertising
sales
Potential Scenario
164
views
51
downloads
0
comments
2017-Sim-EtAl-Optimal control of a coupled tanks system with model-reality differences
In this paper, an efficient computational approach is proposed to optimize and control a coupled tanks system.
optimal control
flow
tanks
coupled tanks
Potential Scenario
169
views
59
downloads
0
comments
2011-Nancy_Rodrıguez-Applied Partial Differential Equations in Crime Modeling and Biological Aggregation
In the first part we study a fully-parabolic system of PDEs for residential burglary ‘hotspots’ (spatio-temporal areas of high density of crime). In this work we are concerned with the existence and uniqueness of solutions of this model. In
biology
Diffusion
Keller-Segel model
chemotaxis
crime
Potential Scenario
153
views
60
downloads
0
comments
1989-R_Blickhan-Spring Mass Model For Running-Hopping
A simple spring—mass model consisting of a massless spring attached to a point mass describes the interdependency of mechanical parameters characterizing running and hopping of humans as a function of speed.
spring mass
jump
jumping
Article or Presentation
693
views
101
downloads
0
comments
SIMIODE Spring 2024 Webinars - Ethics Modeling
A Practical Guide for Incorporating Ethical Reasoning into Mathematics Courses through Modeling Problems
modeling
interdisciplinary
guide
ethics
group work
ethical reasoning
Potential Scenario
196
views
85
downloads
0
comments
1957-Axelrod_ Brady_Witkop_Evarts-The Distribution and Metabolism of Lysergic Acid Diethylamide
The development of a specific and sensitive method for the estimation of LSD in biological materials has enabled us to study the tissue distribution, excretion, rate of biotransformation, and metabolism of the drug, as well as the subcellular...
mathematical model
data
LSD
Metabolism
bloodstream
lysergic acid diethylamide
distribution
Modeling Scenario
305
views
132
downloads
0
comments
1-104-InfectionRisk-ModelingScenario
This project is designed to examine differences between the exponential and logistic growth models in biology and how to apply these models in solving epidemic questions.
infection
logistic
exponential
covid
carrying capacity
Modeling Scenario
238
views
127
downloads
0
comments
1-004-MicroorganismImmigration-ModelingScenario
We present a modeling opportunity for population death with non-constant immigration and suggest the use of both discrete and continuous models with a comparison of results.
continuous
immigration
population
death
discrete
Modeling Scenario
450
views
222
downloads
0
comments
6-005-InsectColonySurvivalOpt-ModelingScenario
We present a system of nonlinear differential equations to model the control of energy flow into producing workers or reproducers in an insect colony, using a set of given parameters and a number of different energy functions.
optimization
Optimal Control Theory
insect colony
optimal control
natural resources
Pointryagin's Maximum Principle
control variable
Article or Presentation
123
views
64
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.
data
first order
parameter
AIDS
Potential Scenario
101
views
38
downloads
0
comments
2012-Shargel-Yu-AccessPharmacy-Applied Biopharmaceutics and Pharmacokinetics
Step by step formation of drug absorption models is shown with many good graphics of system and plots. Solutions are offered but no solution methods are shown.
Michaelis-Menten
Enzyme
substrate
compartment
pharmacokinetics
rate constant
urinary data
absorption rate
Free Online Textbook
148
views
45
downloads
0
comments
2010-Bruce-Conrad-Ordinary_Differential_Equations_A_Systems_Approach
This is an author posted second edition to the text which was originally published by Prentice Hall in 2003.
differential equations
textbook
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