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Views
Date
Relevance
Potential Scenario
204
views
95
downloads
0
comments
2005-Albert_Tarantola-Inverse Problem Theory and Methods for Model Parameter Estimation
This is a bible of approaches to support parameter estimation approaches in inverse problems. Theory and algorithms are offers with examples.
Algorithm
inverse problem
inverse
Potential Scenario
161
views
60
downloads
0
comments
2017-D_Goulet-Modeling, Simulating, and Parameter Fitting of Biochemical Kinetic Experiments
In many chemical and biological applications, systems of differential equations containing unknown parameters are used to explain empirical observations and experimental data. The differential equations are typically nonlinear.
optimization
Biochemistry
sensitivity analysis
chromatography
mass action
cluster analysis
conservation laws
dimerization
estrogen receptor protein
Potential Scenario
215
views
57
downloads
0
comments
2018-Van_Kinh Nguyen-Esteban_Hernandez-Vargas-Parameter estimation in mathematical models of viral infections using R
Mathematical modeling has played a central role to understand mechanisms in different viral infectious diseases. In this approach, biological-based hypotheses are expressed via mathematical relations and then tested based on empirical data.
simulation
disease
virus
viral infection
Modeling Scenario
241
views
158
downloads
0
comments
3-130-MatterOfSomeGravity-ModelingScenario
This project introduces the concept of an inverse problem (or parameter estimation), in the context of the simple linearized pendulum ordinary differential equation.
gravity
inverse problem
acceleration
Potential Scenario
162
views
54
downloads
0
comments
1988-EY_Rodin-N_Taber-Yeast Growth Modelling in a Laboratory
Modeling simple growth with some missing data and doing linear regression for parameter estimation in closed form solution of differential equation model and data.
regression
yeast
growth
Potential Scenario
183
views
31
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
Article or Presentation
159
views
50
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
Article or Presentation
147
views
37
downloads
0
comments
2011-Brian_Winkel-Parameter_Estimates_in_Differential_Equation_Models_for_Population_Growth
We estimate the parameters present in several differential equation models of population growth, specifically single species exponential and logistic growth, and multiple species competition and predation models.
population model
parameter estimation
population
parameter
Article or Presentation
157
views
48
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
Potential Scenario
719
views
63
downloads
0
comments
2013-Fathalla_Rihan-Delay Differential Equations in Biosciences - Parameter estimation and sensitivity analysis
This is a review article to show that delay differential models have a richer mathematical framework (compared with models without memory or after-effects) and a better consistency with biological phenomena such dynamical diseases and cell growth...
epidemiology
sensitivity
Immunology
physiology
RK-methods
time-lags
Potential Scenario
158
views
41
downloads
0
comments
2012-Transtrum-Qiu-Optimal experiment selection for parameter estimation in biological differential equation models
We explore the question to what extent parameters can be efficiently estimated by appropriate experimental selection.
experimental design
systems biology
Association & Data Fitting
reaction rates
decay rates
Potential Scenario
114
views
36
downloads
0
comments
2007-Ramsay-Hooker-Campbell-Cao-Parameter estimation for differential equations-a generalized smoothing approach
We propose a new method for estimating parameters in models that are defined by a system of non-linear differential equations.
estimating equation
functional data analysis
Gauss–Newton method
parameter cascade
profiled estimation
dynamic system
Potential Scenario
189
views
42
downloads
0
comments
1999-Khorasheh-Ahmadi-Gerayeli-Application of Direct Search Optimization for Pharmacokinetic Parameter Estimation
For simple pharmacokinetic compartmental models, analytical solution to the governing differential equations provide a mean to evaluate the associated rate constants. Such methods, however, can not be used used for more complex multi-compartment...
sum of square errors
least squares
pharmacokinetics
lineteics
compartmental models
direct search
Potential Scenario
310
views
84
downloads
0
comments
2010-Brian_Winkel-Parameter estimates in differential equation models for chemical kinetics
We discuss the need for devoting time in differential equations courses to modelling and the completion of the modelling process with efforts to estimate the parameters in the models using data.
kinetics
chemical kinetics
zeroth order reaction
first order reaction
second order reaction
Potential Scenario
150
views
78
downloads
0
comments
2018-Akman-EtAl-Parameter Estimation in Ordinary Differential Equations Modeling via Particle Swarm Optimization
We demonstrate Particle Swarm Optimization efficacy by showing that it outstrips evolutionary computing methods previously used to analyze an epidemic model.
epidemic
Particle Swarm Optimization
optimize parameters
Potential Scenario
128
views
83
downloads
0
comments
2015-Heiko_Enderling-Integrating experimental data to calibrate quantitative cancer models
For quantitative cancer models to be meaningful and interpretable the number of unknown parameters must be kept minimal. We focus on a tumor hierarchy of cancer stem and progenitor non-stem cancer cells.
cancer
tumor
fitting
agent-based
Potential Scenario
98
views
75
downloads
0
comments
2015-G_Knott-Chemical Kinetics - Simple Binding F + G to and from B
The study of this reaction, F + G goes to and from B, is common in chemistry and biochemistry. For example, F could be a hormone or drug and G the associated receptor sites.
binding
reaction
chemical kinetics
deterministic
Biochem Labs
probabilistic
kinetic reaction
Potential Scenario
99
views
52
downloads
0
comments
2014-Niemann-Miklos-Simple Method for Estimation of Parameters in First Order Systems
A simple method for estimation of parameters in first order systems with time delays is presented in this paper.
delay
time dely
step response
Potential Scenario
118
views
33
downloads
0
comments
2007-Graham-Lerch-Parameter Recovery for a Differential Equation Model
This article presents a project for a differential equations class using an inverse problem based on the second order differential equation that models and electrical circuit.
laboratory
data collection
RLC circuit
invers problem
electrical circuit
Potential Scenario
93
views
37
downloads
0
comments
1994-S_S_Everingham-C_Peter_Rydell-Modeling the Demand for Cocaine
This is a report prepared for the Office of National Drug Control Policy of the United States Army by the Rand Corporation. The report contains lots of data and builds a two compartment difference equation model.
drugs
two compartment
cocaine
demand
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