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Downloads
Views
Date
Relevance
Potential Scenario
168
views
29
downloads
0
comments
2012-Campbell-EtAl-Parameter estimation in differential equation models with constrained states
We introduce a method to estimate parameters and states from a differential equation model while enforcing interpretability constraints such as monotone or non‐negative states.
chemical engineering
smoothing-based relaxation method
Free Online Textbook
169
views
87
downloads
0
comments
2021-G_Nagy-Ordinary_Differential_Equations
This is an introduction to ordinary differential equations. We describe the main ideas to solve certain differential equations, like first order scalar equations, second order linear equations, and systems of linear equations.
differential equations
textbook
Potential Scenario
147
views
66
downloads
0
comments
1988-Steven_Strogatz-Love Affairs and Differential Equations.
This is a system of differential equations to describe the love between Shakespeare’s Romeo and Juliet.
Romeo and Juliet
love
Potential Scenario
124
views
42
downloads
0
comments
2015-Just-Callender-Differential equation models of disease transmission
The work give full analyses of standard epidemic model and then shows how to do it with differential equations and agent-based modeling. Then it compares the results.
disease transmission
SIR models
epidemic
agent-based
Potential Scenario
130
views
40
downloads
0
comments
2012-Ogunrinde-Sunday-On some models based on second order differential equation
This paper presents some models based on second order differential equations. Such models include interaction between different kinds of species in an environment and pricing policy for optimum inventory level of a firm.
species interaction
pricing policy
optimal inventory
Potential Scenario
107
views
37
downloads
0
comments
1999-T_Chen-HL_He-GM_Church-S_Shafer-Modeling Gene Expression with Differential Equations
The paper proposes and give great detail for a differential equation model for gene expression with two methods for constructing the model from a set of temporal data.
gene expression
gene
kinetic
gene translation
gene transcription
Potential Scenario
111
views
62
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
122
views
44
downloads
0
comments
2019-Zhu_EtAl-Partial_differential_equation_modeling_of_rumor_propagation
This paper defines a spatial distance in online social networks by clustering and then proposes a partial differential equation model with a time delay.
social networks
rumor
propogation
Modeling Scenario
237
views
113
downloads
0
comments
1-115-ModelingWithFirstOrderODEs-ModelingScenario
Several models using first order differential equations are offered with some questions on formulating a differential equations model with solutions provided.
bacteria
falling object
Newton's Law of Cooling
drug
cooling
drag
Potential Scenario
198
views
62
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
803
views
107
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
92
views
37
downloads
0
comments
2009-Marten-EtAl-Derivation and analysis of an ordinary differential equation for epilepsy dynamics
In this paper we describe how an ordinary differential equation model of corticothalamic interactions may be obtained from a more general system of delay differential equations.
delay
epilepsy dynamics
epilepsy
bistability
seizure activity
Potential Scenario
118
views
43
downloads
0
comments
2009-G_Recktenwald-Tank Draining Exercise
This paper describe deep mathematics, including differential equations concerned with modeling the draining of tank and the shape of the water coming out the bore hole at the bottom of the tank of water.
laboratory
tank
LabView
Bermoulli equation
empty draining
column of liquid
pressure
Article or Presentation
146
views
47
downloads
0
comments
2011-Brian_Winkel-Sourcing_for_parameter_estimation_and_study_of_logistic_differential_equation
We present two simulation activities for students to generate real data and several data sources for the purpose of estimating parameters in the logistic differential equation model.
data
parameter estimation
parameter
logistic equation
source
Potential Scenario
99
views
32
downloads
0
comments
2002-Faia-Differential Equation Modeling as a Source of Theoretical Insight-Four Disparate Examples
We explore differential equations involving alcoholism, social mobility, excess female mortality, and international arms competition.
sociology
arms races
accumulative advantage
alcoholism
Peter Principle
female mortality
population pressure
occupational mobility
social mobility
Richardson theory of war
Potential Scenario
123
views
57
downloads
0
comments
2016-Mehmet_Pakdemirli-Mathematical design of a highway exit curve
Using fundamental principles of physics and calculus, the differential equation determining the curve function is derived.
kinematics
curve design
highway exit
tangential acceleration
Potential Scenario
92
views
34
downloads
0
comments
2008-Luis_San_Andrés-Dynamic Response of Second Order Mechanical Systems with Viscous Response Forces
Walk through the cases in context of second order linear constant coefficient differential equation with driving function
driving function
viscous
mechanical system
Potential Scenario
102
views
27
downloads
0
comments
1998-K_H_Louie_Clark-P_C_D_Newton-Analysis of differential equation models in biology-clover meristem populations
A simple differential equation model (dynamical system) for clover, based on meristem numbers, is outlined and analysed mathematically.
sensitivity analysis
stability analysis
steady states
growing points
buds
meristems
Modeling Scenario
222
views
97
downloads
0
comments
1-084-GoingViral-ModelingScenario
Students employ randomization in order to create a simulation of the spread of a viral disease in a population (the classroom). Students then use qualitative analysis of the expected behavior of the virus to devise a logistic differential equation.
simulation
logistic
random
fitting
partial fractions
Potential Scenario
107
views
70
downloads
0
comments
2015-Beckmann-Sanchez-Cache Calculus-Modeling Caches through Differential Equations
We present cache calculus, a technique that models cache behavior as a system of ordinary differential equations, letting standard calculus techniques find simple and accurate solutions of cache performance for common access patterns.
discrete
cache
cache calculus
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