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Downloads
Views
Date
Relevance
Potential Scenario
125
views
67
downloads
0
comments
2000-deOlivera-Delfino-Costa-Leite-Pinhole Water Flow From Cylindrical Bottles
The water flowing from the first bottle feeds the second one located below it. The same concepts of mass and energy conservation now lead to a non-trivial differential equation for the lowest bottle dynamics.
Torricelli's Law
Conservation of Energyt
Conservation of Mass
Bernoulli’s Theorem
Potential Scenario
130
views
61
downloads
0
comments
2017-Adolfo_Rumbos-Differential Equations and modeling
The study of any phenomenon in the physical or biological sciences, in which continuity and differentiability assumptions about the quantities in question can be made, invariably leads to a differential equation, or a system of differential...
pendulum
Lotka Volterra equations
existence
uniqueness
Potential Scenario
204
views
26
downloads
0
comments
2014-John_Cain-Chemical Reaction Kinetics Mathematical Underpinnings
The usual way of deriving kinetic equations involves application of the principle of conservation of mass in conjunction with the law of mass action. Here, examples of kinetic models for several basic processes are discussed.
kinetics
biochemical reaction
reactants
products
Potential Scenario
197
views
41
downloads
0
comments
2014-Chivers-EtAl-Predator-prey systems depend on a prey refuge
We present an agent-based model which does not require the factors or constraints of previous models to reproduce all six patterns in persistent populations.
Individual & Agent Based Modeling
predator-prey
think-pair-shares
lynx
refuge
prey switching
Mustela-Clethrionomys system
patter oriented
Potential Scenario
139
views
43
downloads
0
comments
2008-Chernyshov-EtAl-The Problem of Modelling of Economic Dynamics in Differential Form
The authors have tried to analyze procedures of the construction of differential equations that are employed for modeling of macroeconomic processes. The results prove to be rather unexpected.
Fredholm integral equation of
Leontief’s model
macroeconomic processes
Potential Scenario
131
views
70
downloads
0
comments
2016-Erno_Keszei-Chemical Kinetics for Beginners
The most important goal of kinetic research is the identification and characterisation of elementary molecular events which make possible the transformation of reactants into products.
kinetics
zeroth order reaction
first order reaction
second order reaction
reaction rates
third order reaction
Potential Scenario
157
views
54
downloads
0
comments
2003-Rasmussen-Keynes-Lines of Eigenvectors and Solutions to Systems of Linear Differential Equations
The purpose of this paper is to describe an instructional sequence where students invent a method for locating lines of eigenvectors and corresponding solutions to systems of two first order linear ordinary differential equations with constant...
instructional design
eigenvalues
eigenvalue analysis
Article or Presentation
154
views
62
downloads
0
comments
1981-Nielsen_Francois-Rachel_Rosenfeld-Substantive_Interpretations_of_Differential_Equation_Models
The interpretation of parameters of dynamic models is illustrated with reference to research on two substantive topics: political mobilization and intragenerational mobility.
differential equations
dynamical systems
First order linear
intragenerational mobility
political mobilization
mobility
Potential Scenario
181
views
58
downloads
0
comments
2011-Mandal-EtAl-Mathematical models of malaria
The first aim of this article is to develop, starting from the basic models, a hierarchical structure of a range of deterministic models of different levels of complexity. The second is to elaborate, using some of the representative mathematical...
epidemiology
transmission
host-parasite
malaria
Ross model
Potential Scenario
1087
views
43
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
206
views
96
downloads
0
comments
2001-Smith-Moore-The SIR Model for Spread of Disease
A multiple part tour of SIR Models freely available with Maple, Mathematics, and MatLab support files at MAA site.
epidemic
SIR model
Euler's method
herd immunity
Hong Kong flu
Potential Scenario
165
views
51
downloads
0
comments
1988-Michael Intriligator-Dagobert Brito-A Predator-Prey Model of Guerrilla Warfare
The authors present a three variable: numbers of guerrillas, numbers of regular (government) soldiers, and size of population controlled by the guerrillas, at time t), nonlinear system of three differential equations.
combat model
guerrilla warfare
government
Article or Presentation
125
views
33
downloads
0
comments
2002-Patrick_Nelson-Alan_Perelson-Mathematical_analysis_of_delay_differential _equation_models_of_HIV-1_infection
Models of HIV-1 infection that include intracellular delays are more accurate representations of the biology and change the estimated values of kinetic parameters when compared to models without delays.
delay
HIV-1
T cells
combination antiviral therapy
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
131
views
54
downloads
0
comments
1981-Nielsen-Rosenfeld-Substantive Interpretations of Differential Equation Models
The use of differential equations models to study social processes has been increasing rapidly. There are, however, ambiguities in the interpretation of the parameters of these models.
sociology
politics
intragenerational mobility
political mobility
Potential Scenario
200
views
87
downloads
0
comments
1971-Carl_Metzler-Usefulness Of Two Compartment Open Model In Pharmacokinetics
Compartment models are widely used in pharmaceutical research to quantitate the kinetics of absorption, distribution, metabolism and excretion of a drug. In this article two applications of the two compartment open model are discussed.
LSD
compartment
pharmacokinetics
Potential Scenario
155
views
46
downloads
0
comments
2018-Yu-Craciun-Mathematical_Analysis_of_Chemical_Reaction_Systems
These models of chemical reactions are systems of coupled nonlinear differential equations on the positive orthant.
biochemical
kinetics
reaction
reaction network
mass action
Modeling Scenario
239
views
134
downloads
0
comments
6-030-SaltAndTorricelli-ModelingScenario
We build on a model for the height of a falling column of water with a small hole in the container at the bottom of the column of water. We use data from one video of a falling column of water.
whole picture
tank
mixing
flow
column of water
salt mixing
graduated cylinder
aperture
Torricelli's Law
Potential Scenario
131
views
55
downloads
0
comments
2008-Abramson-Mathematical modeling of the spread of infectious diseases
These are informal notes, mostly based on the bibliography listed at the end and on recent papers in the field. The practical use of these models is based on the fact that they can be kept realistic enough.
infectious disease
bibliography
epidemic
cowpox
smallpox
complex networks
spread disease
Potential Scenario
204
views
89
downloads
0
comments
2014-Enderling-Chaplain-Mathematical Modeling of Tumor Growth and Treatment
Herein we describe fundamentals of mathematical modeling of tumor growth and tumor-host interactions, and summarize some of the seminal and most prominent approaches.
cancer
tumor modeling
angiogenesis
tumor growth
patient care
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