SIMIODE

All Categories (1-20 of 115)

1. 1-124-S-WorldPopulation

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   30 May 2020 | | Contributor(s):: Lenka Pribylova, Jan Sevcik, Pavel Morcinek, Brian Winkel

   We build models of world population using data to estimate growth rate.CZECH LANGUAGE VERSION  We have placed in Supporting Docs a Czech version of this Student Modeling Scenario. Name will be x-y-S-Title-StudentVersion-Czech.

2. 3-026-S-SpringInverseProblem

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   29 May 2020 | | Contributor(s):: Brian Winkel

   We are given data on the position of a mass in an oscillating spring mass system and we seek to discover approaches to estimating an unknown parameter.

3. 5-010-S-DNADegradation

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   21 Apr 2020 | | Contributor(s):: Brian Winkel

   We ask students to use the system of first order linear differential equations given in a source paper and estimates of the data from laboratory procedures from a plot to estimate the parameters and complete the modeling process. Then we seek to compare the results of the final model with...

4. 1-126-S-MarriageMath

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   14 Apr 2020 | | Contributor(s):: Erdi KARA

   We will explore a model which describes the process of entry into marriage by an individual. In the model, rate of change in the fraction of the cohort already married will be investigated along with two governing assumptions; social pressure experienced by unmarried individual increases as...

5. 2019-Hu-ModellingLongitudinalDataWithDEs

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   06 Apr 2020 | | Contributor(s):: Brian Winkel

   2019-Hu-ModellingLongitudinalDataWithDEsHu,Yueqin and Raymond Treinen. 2019.  A one-step method for modelling longitudinal datawith differential equations. British Journal of Mathematical and Statistical Psychology. 72: 38–60Abstract: Differential equation models...

6. 1975-RoddaEtAl-OneCompartmentOpenModel - SomeStatisticalAspectsOfParameterEstimation

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   06 Apr 2020 | | Contributor(s):: Brian Winkel

   1975-RoddaEtAl-OneCompartmentOpenModelSomeStatisticalAspectsOfParameterEstimation The One-Compartment Open Model: Some Statistical Aspects of Parameter EstimationRodda, B. E., C. B. Sampson, D. W. Smith.1975.  The One-Compartment Open Model: Some Statistical Aspects of...

7. 2007-HelfgottSeier-MathStatAspectsOfEnzymeKinetics

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   05 Apr 2020 | | Contributor(s):: Brian Winkel

   2007-HelfgottSeier-MathStatAspectsOfEnzymeKineticsHelfgott,  Michel and Edith Seier. 2007.  Some Mathematical and Statistical Aspects of Enzyme Kinetics.The Journal of Online Mathematics and Its Applications. Volume 7, October 2007, Article ID 1611Abstract:  Most...

8. 2012-TranstrumQiui-OptimalExperimentSelectionForParameterEstimationInBioDEs

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   02 Apr 2020 | | Contributor(s):: Brian Winkel

   2012-TranstrumQiui-OptimalExperimentSelectionForParameterEstimationInBioDEsTranstrum, Mark K and Peng Qiu. 2012. Optimal experiment selection for parameter estimation in biological differential equation models. Bioinformatics.  13(181): 1-12.AbstractBackground:...

9. 2018-AdenjiEtAl-InverseProblemHolling-TannerModel

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   02 Apr 2020 | | Contributor(s):: Brian Winkel

   2018-AdenjiEtAl-InverseProblemHolling-TannerModelAdeniji, Adejimi Adesola, Igor Fedotov, Michael Y. Shatalov. 2018.  Inverse problem of theHolling-Tanner model and its solution. Biomath. 7: 1812057. 10 pages.Abstract: In this paper we undertake to consider the inverse problem of...

10. 2013-Rihan-DelyDEsBioScience-ParameterEstimation

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    01 Apr 2020 | | Contributor(s):: Brian Winkel

    2013-Rihan-DelyDEsBioScience-ParameterEstimationRihan, Fathalla A. 2013. Delay Differential Equations in Biosciences: Parameter estimation and sensitivity analysis. Proceedings of the 2013 International Conference on Applied Mathematics and Computational Methods.  pp....

11. 2017-NguyenEtAl-ParameterEstimationViralInfections

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    01 Apr 2020 | | Contributor(s):: Brian Winkel

    2017-NguyenEtAl-ParameterEstimationViralInfectionsNguyen, Van Kinh  and Esteban A. Hernandez-Vargas. 2018.  Parameter estimation in mathematical models of viral infections using R. Methods Mol Biol. 1836: 531-549.Abstract: In recent years, mathematical modeling...

12. 2007-RamseyEtAl-ParameterEstforDE-SmoothingApproach

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    01 Apr 2020 | | Contributor(s):: Brian Winkel

    2007-RamseyEtAl-ParameterEstforDE-SmoothingApproachJ. R. Statist. Soc. B (2007)69, Part 5, pp. 741–796Ramsay, J. O.. G. Hooker, D. Campbell and J. Cao. 2007. Parameter estimation for differential equations: a generalized smoothing approach. J. R. Statist. Soc....

13. 2012-CampbellEetAl-Parameter estimation in differential equation models with constrained states

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    26 Mar 2020 | | Contributor(s):: Brian Winkel

    2012-CampbellEetAl-Parameter estimation in differential equation models with constrained statesCampbell, David A.,  Giles Hooker, and   Kim B. McAuley. 2012. Parameter estimation in differential equation models with constrained states. Journal of Chemometrics....

14. 2017-SimEtAl-OptControl-CoupledTanksSystem

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    25 Mar 2020 | | Contributor(s):: Brian Winkel

    2017-SimEtAl-OptControl-CoupledTanksSystemSim, Sy Yi, Sie Long Kek, and Kim Gaik Tay. 2017.  Optimal control of a coupled tanks system with model-reality differences. AIP Conference Proceedings. 1872, 020012.Abstract: Abstract. In this paper, an efficient computational...

15. 2000-Erdman-StudyOfKinetics-FirstOrderODE

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    25 Mar 2020 | | Contributor(s):: Brian Winkel

    2000-Erdman-StudyOfKinetics-FirstOrderODEErdman, Donald  and Maurice M. Morelock. 2000. A Study of Kinetics: The Estimation and Simulation of Systems of First-Order Differential Equations. Notes. 8 pp. Abstract: This paper introduces new and old features of the SAS System...

16. 2018-AkmanEtAl-ParameterEstimationinODE-ParticlaSwarmOptimimzation

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    24 Mar 2020 | | Contributor(s):: Brian Winkel

    2018-AkmanEtAl-ParameterEstimationinODE-ParticlaSwarmOptimimzationAkman, Devin, Olcay Akman, and Elsa Schaefer. 2018. Journal of Applied Mathematics.Volume 2018. pp 1-10.Abstract: Researchers using ordinary differential equations to model phenomena face two main challenges among...

17. 3-015-S-StyrofoamBallFall

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    24 Mar 2020 | | Contributor(s):: Brian Winkel

    We are given data on a falling Styrofoam ball and we seek to model this motion.

18. 2008-DuranCaginalp-ParameterOptimization-DE-AssetPriceForecasting

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    23 Mar 2020 | | Contributor(s):: Brian Winkel

    2008-DuranCaginalp-ParameterOptimization-DE-AssetPriceForecasting Duran, Ahmet and Gunduz Caginalp. 2008. Parameter optimization for differential equations in asset price forecasting.  Optimization Methods and Software. 23: 551-574. Abstract: A system of nonlinear asset flow...

19. 2016-Langtangen-Pederson-ScalingDifferentialEquaitons

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    20 Mar 2020 | | Contributor(s):: Brian Winkel

    2016-Langtangen-Pederson-ScalingDifferentialEquaitonsLangtangen, Hans Petter and Geir K. Pedersen. 2016. Scaling of Differential Equations. New York: Springer. Text 234 pages. https://www.springer.com/gp/book/9783319327259. Accessed 20 March 2020.The Preface,Finding proper...

20. 2011-Winkel-ParameterEstimation-Chemical Kinetics

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    16 Mar 2020 | | Contributor(s):: Brian Winkel

    2011-Winkel-ParameterEstimation-Chemical KineticsWinkel, Brian. 2011. Parameter estimates in differential equation models for chemical kinetics. International Journal of Mathematical Education in Science and Technology. 42(1): 37-51.Abstract: We discuss the need for devoting time in...