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  1. differentialequation x
  2. parameterestimation x
  1. 3-105-S-FrequencyResponse

    22 Jul 2020 | Modeling Scenarios

    We describe the frequency response to a second order differential equation with a driving function as the maximum steady state solution amplitude and perform some analyses in this regard.

  2. 3-027-S-BobbingDropping

    10 Jul 2020 | Modeling Scenarios

    We present two exercises from a differential equations text in which we ask students to model (1) falling object experiencing terminal velocity and (2) bobbing block of wood in liquid. We model the motion using Newton's Second Law of Motion and Archimedes' Principle.

  3. 1-124-S-WorldPopulation

    30 May 2020 | Modeling Scenarios

    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.

  4. 1-124-S-WorldPopulation

    30 May 2020 | Modeling Scenarios

    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.

  5. 3-026-S-SpringInverseProblem

    29 May 2020 | Modeling Scenarios

    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.

  6. 3-026-S-SpringInverseProblem

    29 May 2020 | Modeling Scenarios

    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.

  7. 5-010-S-DNADegradation

    21 Apr 2020 | Modeling Scenarios

    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...

  8. 5-010-S-DNADegradation

    21 Apr 2020 | Modeling Scenarios

    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...

  9. Transient and Steady State response in RC or RL circuits

    16 Apr 2020 | Presentations

    Transient and Steady State response in RC or RL circuits . PowerPoint Slides. 54 Slides, This is a presentation to help understand the concepts of Transient and Steady State response in RC or RL circuits . There is detailed technical material and graphs to richly illustrate the clear...

  10. 1-126-S-MarriageMath

    14 Apr 2020 | Modeling Scenarios

    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...

  11. 2019-Hu-ModellingLongitudinalDataWithDEs

    06 Apr 2020 | Potential Scenario Ideas

    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...

  12. 1975-RoddaEtAl-OneCompartmentOpenModel - SomeStatisticalAspectsOfParameterEstimation

    06 Apr 2020 | Potential Scenario Ideas

    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...

  13. 2007-HelfgottSeier-MathStatAspectsOfEnzymeKinetics

    05 Apr 2020 | Potential Scenario Ideas

    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...

  14. 2011-Yafia-DEModelingMalignantTumorCellsInCompetitionWithImmuneSystem

    04 Apr 2020 | Potential Scenario Ideas

    2011-Yafia-DEModelingMalignantTumorCellsInCompetitionWithImmuneSystemYAFIA, RADOUANE. 2011. A STUDY OF DIFFERENTIAL EQUATION MODELING MALIGNANT TUMOR CELLS IN COMPETITION WITH IMMUNE SYSTEM. International Journal of Biomathematics. 4(2):  185-206Abstract: In this...

  15. 2012-TranstrumQiui-OptimalExperimentSelectionForParameterEstimationInBioDEs

    02 Apr 2020 | Potential Scenario Ideas

    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:...

  16. 2018-AdenjiEtAl-InverseProblemHolling-TannerModel

    02 Apr 2020 | Potential Scenario Ideas

    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...

  17. 2013-Rihan-DelyDEsBioScience-ParameterEstimation

    01 Apr 2020 | Potential Scenario Ideas

    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....

  18. 2017-NguyenEtAl-ParameterEstimationViralInfections

    01 Apr 2020 | Potential Scenario Ideas

    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...

  19. 2018-Joseph-Balamuralitharan - Nonlinear DE model of Asthma Effects

    01 Apr 2020 | Potential Scenario Ideas

    2018-Joseph-Balamuralitharan - Nonlinear DE model of Asthma EffectsJoseph ,G Arul J. and S Balamuralitharan. 2018. A Nonlinear differential equation model of Asthma effect of environmental pollution using LHAM.  IOP Conf. Series: Journal of Physics: Conf. Series. 1000:...

  20. 2007-RamseyEtAl-ParameterEstforDE-SmoothingApproach

    01 Apr 2020 | Potential Scenario Ideas

    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....

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