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  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. 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.

  5. 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...

  6. 5-010-S-DNADegradation

    21 Apr 2020 | Modeling Scenarios | 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...

  7. 6-045-S-CholeraTranmission

    19 Apr 2020 | Modeling Scenarios | Contributor(s): Brian Winkel

    A recent cholera outbreak in Haiti brought public attention to this disease. Cholera, a diarrheal disease, is caused by an intestinal bacterium, and if not addressed in a timely manner may become fatal. During the project described here, the students will learn how to solve and address a...

  8. 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...

  9. 2019-Elishakoff-DifferentialEquationsLoveANDLoveDifferentiaEquations

    06 Apr 2020 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    2019-Elishakoff-DifferentialEquationsLoveANDLoveDifferentiaEquationsElishakoff, Isaac. 2019.   Differential Equations of Love and Love of Differential Equations. Journal of Humanistic Mathematics. 9(2): 1-22 SynopsisIn this paper, simple ordinary differential...

  10. 2018-WeberEtAl-SensitivityAnalysisOfODEModels

    06 Apr 2020 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    2018-WeberEtAl-SensitivityAnalysisOfODEModelsWeber, Frank, Stefan Theers, Dirk Surmann, Uwe Ligges, and Claus Weihs. 2018. Sensitivity Analysis of Ordinary Differential Equation Models.IntroductionThe goal of sensitivity analysis is to examine how sensitive a mathematical model...

  11. 2009-Marten-ODEsForStudyingEpilepsyDynamics

    04 Apr 2020 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    2009-Marten-ODEsForStudyingEpilepsyDynamicsMarten, Frank, Serafim Rodrigues, Piotr Suffczynski, Mark P. Richardson, and John R. Terry. 2009. Derivation and analysis of an ordinary differential equation mean-field model for studying clinically recorded epilepsy dynamics. Phys. Rev. E 79,...

  12. 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...

  13. 2018-BlomhojEtAl-CompartmentModels

    01 Apr 2020 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    2018-BlomhojEtAl-CompartmentModelsM. Blomhøj, T.H. Kjeldsen, and J. Ottesen. 2018. Compartment models. Lecture Notes 47 pp.    Chapter 1 - Compartment ModelsBackground: It is important to master the ability to develop models. Modeling of dynamical...

  14. 1977-Freedman-Mathematical models of population interactions with dispersal. I Stability of two habitats

    01 Apr 2020 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    1977-Freedman-Mathematical models of population interactions with dispersal. I Stability of two habitatsFREEDMAN, H. I. AND PAUL WALTMAN, 1977. MATHEMATICAL MODELS OF POPULATION INTERACTIONS WITHDISPERSAL. I: STABILITY OF TWO HABITATS WITH AND WITHOUTA PREDATOR.  SIAM J....

  15. 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:...

  16. 2007-ChoisyEtAl-MathematicalMdelingOfInfectiousDiseasesDynamics

    01 Apr 2020 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    2007-ChoisyEtAl-MathematicalMdelingOfInfectiousDiseasesDynamicsChoisy, M., J.-F. Guégan, and P. Rohani1. 2007. Mathematical Modeling of Infectious Diseases Dynamics.From Introduction: After presenting general notions of mathematical modeling (Section 22.2) and the nature of...

  17. 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....

  18. 2018-Brinks-IllnessDeathModelInChronicDiseaseEpidemiology

    29 Mar 2020 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    2018-Brinks-IllnessDeathModelInChronicDiseaseEpidemiologyBrinks, Ralph. 2018. Illness-Death Model in Chronic Disease Epidemiology:Characteristics of a Related, Differential Equation and an Inverse Problem. Computational and Mathematical Methods in Medicine. Volume 2018,...

  19. 2009-NoakeSleigh-AirflowInfectionHospitalWards

    29 Mar 2020 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    2009-NoakeSleigh-AirflowInfectionHospitalWardsNoakes, Catherine J. and P. Andrew Sleigh. 2009. Mathematical models for assessing the role of airflow on the risk of airborne infection in hospital wards. J. R. Soc. Interface. 6: S791-S-800.Abstract: Understanding the risk of...

  20. 2013-Pescitelli-LotkaVolterraPredator-Prey-WithPredatingScavenger

    29 Mar 2020 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    2013-Pescitelli-LotkaVolterraPredator-Prey-WithPredatingScavengerPescitelli, Monica. 2013. Lotka Volterra Predator-Prey Model with a PredatingAbstract: The classic Lotka Volterra equations are used to model the population dynamicsbetween two species: a predator and its prey....

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