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Modeling Scenarios feed

  1. 1-118-S-SolowEconomicGrowth

    22 Aug 2018 | Modeling Scenarios | Contributor(s): Yuri Yatsenko

    https://simiode.org/resources/5114

  2. 7-040-S-TankInterruptMixing

    22 Aug 2018 | Modeling Scenarios | Contributor(s): Norman Loney

    We present a differential equation model for the interrupted mixing of a tank with salt water. We offer two solution strategies (1) two step approach and (2) Laplace Transforms.

    https://simiode.org/resources/5103

  3. 7-020-S-ThermometerInVaryingTempStream

    22 Aug 2018 | Modeling Scenarios | Contributor(s): Norman Loney

    We present a differential equation model for the temperature of a mercury thermometer which is sitting in a stream of water whose temperature oscillates. We suggest a solving strategy which uses...

    https://simiode.org/resources/5089

  4. 1-138-S-InnerEarDrugDelivery

    20 Aug 2018 | Modeling Scenarios | Contributor(s): Jue Wang

    Hearing loss is difficult to treat due to the inner ear location and structure. Drawing from this challenging case, this scenario guides students to transform a treatment protocol into a...

    https://simiode.org/resources/5068

  5. 4-055-S-ShatterWineGlass

    20 Aug 2018 | Modeling Scenarios | Contributor(s): Jue Wang

    This module takes students through real life scenarios to examine resonance and its destructive power using differential equation models. What is resonance? How does it happen? Why is it...

    https://simiode.org/resources/5050

  6. 1-067-S-ModelingWithSigmoidCurves

    18 Aug 2018 | Modeling Scenarios | Contributor(s): Natali Hritonenko

    The assignment considers two well-known models of population growth, Verhulst-Pearl and Gompertz models, for which qualitative and quantitative analyses are provided. The graphs of the...

    https://simiode.org/resources/5008

  7. 1-032-S-DigoxinElimination

    17 Aug 2018 | Modeling Scenarios | Contributor(s): Therese Shelton

    We model the concentration of digoxin eliminated from the human body at a rate proportional to the concentration. This is a ``first-order reaction'' in the language of pharmacokinetics --...

    https://simiode.org/resources/4993

  8. 1-131-S-CaffeineElimination

    15 Aug 2018 | Modeling Scenarios | Contributor(s): Therese Shelton

    We model the concentration of caffeine eliminated from the human body at a rate proportional to the concentration. This is a reaction in the language of pharmacokinetics -- the study of how drugs...

    https://simiode.org/resources/4976

  9. 1-130-S-AspirinAbsorption

    15 Aug 2018 | Modeling Scenarios | Contributor(s): Therese Shelton

    We model the amount of aspirin absorbed by the human body at a constant rate. This is a ``zero-order reaction'' in the language of pharmacokinetics -- the study of how drugs move in the...

    https://simiode.org/resources/4963

  10. 1-089-S-SpreadOfDisease

    15 Aug 2018 | Modeling Scenarios | Contributor(s): Shinemin Lin

    In this project we use the algebra based concept “difference quotient” to solve differential equations models with the help of Excel.

    https://simiode.org/resources/4947

  11. 1-054-S-GrowthInFarmland

    14 Aug 2018 | Modeling Scenarios | Contributor(s): Richard Spindler

    An enriching project developing a model from data with missing temporal information is described. Students fit functions to the data that leads to the creation of a differential equations model,...

    https://simiode.org/resources/4905

  12. 6-007-S-FunctionsAndDerivativesInSIRModels

    12 Aug 2018 | Modeling Scenarios | Contributor(s): Meredith Greer

    https://simiode.org/resources/4884

  13. 5-026-S-Evictions

    12 Aug 2018 | Modeling Scenarios | Contributor(s): Mary Vanderschoot

    https://simiode.org/resources/4872

  14. 1-102-S-CancerGrowth

    29 Jul 2018 | Modeling Scenarios | Contributor(s): Jue Wang

    This scenario guides students in the use of differential equation models to predict cancer growth and optimize treatment outcomes. Several classical models for cancer growth are studied,...

    https://simiode.org/resources/4846

  15. 1-081-S-TumorGrowth

    09 Jun 2018 | Modeling Scenarios | Contributor(s): Ryan Miller, Randy Boucher

    Students will transform, solve, and interpret a tumor growth scenario using non-linear differential equation models. Two population growth models (Gompertz and logistic) are applied to model tumor...

    https://simiode.org/resources/4811

  16. 6-018-S-ExploringSIRModel

    30 May 2018 | Modeling Scenarios | Contributor(s): Stanley Florkowski, Ryan Miller

    Students will transform, solve, and interpret Susceptible Infected Recovered (SIR) models using systems of differential equation models. The project is progressively divided into three parts to...

    https://simiode.org/resources/4795

  17. 6-026-S-IsleRoyaleModeling

    20 May 2018 | Modeling Scenarios | Contributor(s): Steven Morse, Brian Allen, Stanley Florkowski

    The primary aim of this project is to draw a connection between differential equations and vector calculus, using population ecology modeling as a vehicle. This setting allows us to also employ...

    https://simiode.org/resources/4766

  18. 6-070-S-BeerBubbles

    24 Apr 2018 | Modeling Scenarios | Contributor(s): Michael Karls

    The goal of this project is to set up and numerically solve a first-order nonlinear ordinary differential equation (ODE) system of three equations in three unknowns that models beer bubbles that...

    https://simiode.org/resources/4554

  19. 1-105-S-AnimalFall

    15 Apr 2018 | Modeling Scenarios | Contributor(s): Brian Winkel

    This project uses Newton's Second Law of Motion to model a falling animal with a resistance term proportional to cross sectional area of the animal, presumed to be spherical in shape.

    https://simiode.org/resources/4510

  20. 3-095-S-ShotInWater

    05 Apr 2018 | Modeling Scenarios | Contributor(s): Kurt Bryan

    This project uses Newton's Second Law of Motion in conjunction with a quadratic model for the resistance experienced by a bullet moving through water to analyze a classic action movie scene:...

    https://simiode.org/resources/4498