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Downloads
Views
Date
Relevance
Potential Scenario
766
views
39
downloads
0
comments
2019-Stender_EtAl-Recovery_Of_Differential_Equations_From_Impulse_Response
In this work, a recent method, which allows reconstructing differential equations from time series data, is extended for higher degrees of automation.
time series
regression
response
impulse
oscillation
signal processing
sparse regression
system identification
Article or Presentation
121
views
39
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
Article or Presentation
77
views
28
downloads
0
comments
2012-R_B_Ogunrinde-J_Sunday-On_some_models_based_on_second_order_differential_equations
This paper presents some models based on second order differential equations. This is a very straightforward article with good explanations of modeling assumptions.
combat
combat model
species interaction
Technique Narrative
308
views
145
downloads
0
comments
2-001-NumericalMethodsComparisons-TechniqueNarrative
This material teaches the basics of numerical methods for first order differential equations by following graphical and numerical approaches. We discuss the order of accuracy of the methods and compare their CPU times.
Euler's method
improved Euler's method
RK3 methods
RK4 methods
order of accuracy
absolute error
CPU time
Potential Scenario
150
views
41
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
Technique Narrative
464
views
174
downloads
0
comments
1-001-SepartionOfVariables-TechniqueNarrative
We discuss strategies to solve first order, ordinary differential equations with mathematical models when the variables may be separated.
solutions
strategy
method
applications
Potential Scenario
97
views
40
downloads
0
comments
2008-Ahmed_Mohameden-Solving initial-value second order ordinary differential equations on an Excel spreadsheet
This paper presents a friendly method of solving initial-value second order differential equations (DEs) analytically on a MS Excel© workbook.
Excel
Spreadsheet
Potential Scenario
104
views
31
downloads
0
comments
1984-W_Brunner-D__Focht-Deterministic Three-Half-Order Kinetic Model for Microbial Degradation
The kinetics of mineralization of carbonaceous substrates has been explained by a deterministic model which is applicable to either growth or nongrowth conditions in soil.
kinetics
nonlinear regression
sum of square errors
Monodlinearize
mineralization
substrates
carbonaceous
Article or Presentation
93
views
43
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
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
108
views
55
downloads
0
comments
2016-Roberto_Camporesi-A fresh look at linear ordinary differential equations with constant coefficients
We present an approach to the impulsive response method for solving linear constant-coefficient ordinary differential equations of any order based on the factorization of the differential operator.
impulse
Green functions
instructional exposition
Potential Scenario
101
views
31
downloads
0
comments
2012-José_Sérgio_Domingues-Gompertz Model - Resolution and Analysis for Tumors
The main objective of this paper is to use the Gompertz equation in order to study the development of blood irrigated solid tumors, using parameters defined in some important bibliographic references about the mathematical modelling of tumors.
tumor
Gompertz equation
growth tumor
Free Online Textbook
148
views
36
downloads
0
comments
2016-Simon_Malham-Differential_Equations_and_Linear_Algebra
This is a nice set of notes on which a course can be based. There is ample material on first and second order, linear systems, and Laplace Transform methods for setting up and solving differential equations.
textbook
linear algebra
Laplace transform
Modeling Scenario
211
views
206
downloads
0
comments
1-098-NeuronDetection-ModelingScenario
Students study a linear, first order, one-dimensional ordinary differential equation (ODE) and learn how it can help understand basics of neural dynamics. The modeling framework is known in mathematical neuroscience as ``integrate-and-fire''...
biology
neuroscience
neuron physiology
voltage
integrate and fire
threfhols
coincidence detection
RC circuit
Potential Scenario
131
views
39
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
Modeling Scenario
309
views
258
downloads
0
comments
7-040-TankInterruptMixing-ModelingScenario
We present a first order differential equation model for the interrupted mixing of a tank with salt water. We offer two solution strategies (1) two step approach and (2) Laplace Transforms.
Laplace transform
inverse Laplace Transform
salt
tank
mixing
interrupt
Modeling Scenario
366
views
407
downloads
0
comments
1-011-Kinetics-ModelingScenario
We make the connection between chemistry course and differential equations coursework. We do this through modeling kinetics, or rates of chemical reaction. We study zeroth, first, and second order reactions.
kinetics
chemistry
Law of Mass Action
chemical kinetics
order of reaction
chemical reaction
Potential Scenario
78
views
35
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
Modeling Scenario
254
views
171
downloads
0
comments
5-007-ChemOpt-ModelingScenario
Modeling a chemical reaction and estimating parameters in the model permits optimization of profits from extracting reactants.
optimization
p
Yield and sustainability
nonprofit management
Law of Mass Action
kinetic
reaction
Article or Presentation
145
views
36
downloads
0
comments
2021-Brian_Winkel-Modelling_sublimation_of_carbon_dioxide
We report results in our efforts to model sublimation of carbon dioxide and the associated kinetics order and parameter estimation issues in our model.
data
parameter estimation
carbon dioxide
sublimation
dry ice
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