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    1994-JM_McDill-Bjorn_Felsager-The Lighter Side of Differential Equations
    Although differential equations have many serious applications to the modeling of real-world problems, a few lighthearted problems can serve to motivate students and brighten their attitudes toward...

    Keywords: cooperationharvestingRomeo and Julietlovecannibalismovercrowding

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    1975-Rodda-Sampson-Smith-The One-Compartment Open Model Parameter Estimation
    A new estimation procedure is proposed for estimating the parameters of the simplest pharmacokinetic model, the one-compartment open model.

    Keywords: compartment modelpharmacokineticsnonlinear estimationone compartment model

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    1972-Suresh_Sethi-Optimal Control of the Vidale-Wolfe Advertising Model
    This paper considers an optimal-control problem for the dynamics of the Vidale-Wolfe advertising model, the optimal control being the rate of advertising expenditure to achieve a terminal market...

    Keywords: Optimal Control Theoryadvertisingsales

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    2018-Nyanginja-Angwenyi-Musyoka-Orwa - Mathematical modeling of the effects of public health education on tungiasis
    In this paper, we formulate and study a mathematical model for the dynamics of jigger infestation incorporating public health education using systems of ordinary differential equations and...

    Keywords: diseaseendemicreproduction numbertungiasisjigger infestation

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    2017-Thomas_Judson-The_Ordinary_Differential_Equations_Project
    This text is intended for a one-semester undergraduate course in ordinary differential equations. There are additional exercises or computer projects at the ends of many of the chapters.

    Keywords: projectsmathematical modeltextbooktechniquesfreeproofssageTheory

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    2019-Radulescu-Lundgren-A_pharmacokinetic_model_of_lead_absorption_and_calcium_competitive_dynamics
    We build and analyze a compartmental model of lead pharmacokinetics, focused specifically on addressing neurotoxicity.

    Keywords: QUBES Leadership Teamparametersabsorptionbifurcationpharmacokineticscalciumcognitive decline

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    2019-Stender_EtAl-Recovery_Of_Differential_Equations_From_Impulse_Response
    In this work, a recent method, which allows reconstructing differential equations from time series data, is extended for higher degrees of automation.

    Keywords: time seriesregressionresponseimpulseoscillationsignal processingsparse regressionsystem identification

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    1-128-RocketFlight-ModelingScenario
    We offer an opportunity to build a mathematical model using Newton's Second Law of Motion and a Free Body Diagram to analyze the forces acting on the rocket of changing mass in its upward flight...

    Keywords: resistanceFlightRocketrymassNewton's Second Law of MotionthrustFree Body Diagramapexrocket

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    3-030-SecondOrderIntro-ModelingScenario
    We outline the solution strategies involved in solving second-order, linear, constant coefficient ordinary differential equations, both homogeneous and nonhomogeneous and offer many application and...

    Keywords: parameter estimationnon-homogeneousSpanishfrequencybuoyancyinverse problemthrustunderdampedfirst passagespring mash dashpotrealcomplexhomogeneoussuperpositionparachuteoverdampedcritically dampedbuoyquadratic equationrootsrocket flight

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    3-061-ChemEngApps-ModelingScenario
    Students go through a chemical engineering problem: calculate concentration profile of cyclohexane within a catalyst pellet by solving a second order linear differential equation; then analyze the...

    Keywords: Spanishporous mediumcatalyisiscyclohexenehydrogeldehydrogenationhyperbolic trig functions

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    Student-Led Research; Integrating Citizen Science & Field Methodology in the Ecology Classroom
    Targeting undergraduate students in lower-division ecology courses, this module guides students through authentic research. The purpose of this project is to provide hands-on research experience to...

    Keywords: undergraduate researchcitizen sciencecamera trap

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    Hypoxia in Coastal Marine Ecosystems (Project Eddie) - Modified
    Aquatic ecosystems are home to a complex intersection of physical and biological factors and an intersection of natural and anthropogenic factors. In the Chesapeake Bay, low oxygen events have...

    Keywords: OceanographyProject EDDIEEutrophication

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    1-009-Bifurcation-TechniqueNarrative
    We lead students to investigate first-order differential equations that contain unknown parameters. Students discover what happens to the qualitative behavior of solutions to these equations as...

    Keywords: bifurcationqualitative behaviorbifurcation diagram

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    1-057-FiguringFluidFlow-ModelingScenario
    We propose three differential equations models for the height of a column of falling water as the water exits a small bore hole at the bottom of the cylinder and ask students to determine which...

    Keywords: dischargetankTorricelli's LawConservation of Energyfluid flowheightliquid

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    1-085-DrugBolus-ModelingScenario
    Given data on the concentration of a drug in the plasma of a human in mg/L at certain time intervals in hours can we determine the rate at which the drug leaves the plasma as well as the initial...

    Keywords: concentrationsum of square errorsbolusdrugrate constantadminister

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    1-136-MarriageAge-ModelingScenario
    Students will build and analyze a model of the fraction of people who are married (for the first time) by a certain age. Students are asked to set up and solve these differential equations. They...

    Keywords: messagesmarriageusing social sciences in forecastingdirected

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    9-015-UnearthingTruth-ModelingScenario
    This project introduces \textit{electrical resistivity tomography}, a technique of interest for geophysical imaging, used to produce images of underground features or structures by using electrical...

    Keywords: geophysicalImagingStatistical inverse problemtunnelconductionHolocaustVilniusDivergence TheoremfluxLaplace's equationimpedanceelectrical resistivity tomographytomographyresistivity

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    3-063-FallingBuildingIce-ModelingScenario
    We model the fall of a piece of ice which is falling from a high building in New York City.

    Keywords: resistancefallinggravityiceterminal velocityskyscrapers

    265

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    Hypoxia in Coastal Marine Ecosystems (Project Eddie)
    Aquatic ecosystems are home to a complex intersection of physical and biological factors and an intersection of natural and anthropogenic factors. In the Chesapeake Bay, low oxygen events have...

    Keywords: OceanographyProject EDDIEEutrophication

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    565

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    Using Nanoparticles to Treat Cancer Scientist Spotlight
    Students use published scientific data to determine which types of nanoparticles would be best to use to deliver cytotoxic drugs directly to cancer cells. Then they learn about the scientist who...

    Keywords: cancer biologyscientist spotlightsnanoparticles

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