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    6-067-LotkaVolterra-ModelingScenario
    This modeling scenario guides students through the process of fitting the Lotka-Volterra model of two differential equations to a real time series observational data. Students use the capabilities...

    Keywords: time seriesdatacompetitionLotka-Volterramodel fittingpredictiongauseRexperimental

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    1-036-NeutralBuoyancy-ModelingScenario
    An object may hang suspended at, say, ten foot depth in a column of water if at ten feet underwater the density of the object equals the density of water. We study this phenomenon

    Keywords: DensitybuoyancyArchimedes’ Principlefloatneutral buoyance

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    4-035-ParEstSteadyState-ModelingScenario
    Students estimate parameters in a second order, linear, ordinary differential equations through analysis of the steady state solution. By applying a driver we can collect data in terms of the...

    Keywords: driversteady statesum of square errors

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    Why are Cells Small? Surface Area to Volume Ratio
    This module explores surface area to volume ratios in a cube and sphere in relation to cell size.

    Keywords: introductory biologygraphingRatiosOpenStaxqbccmanipulate equationsCellular and Molecular BiologyUse elementary functionsCreate graphsInterpret graphsRates and ProportionsSolving Equations and Inequalitiesinterpret tables

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    Body Size Constraints in Xylem Feeding Insects: Allometric Relationships
    This module introduces body size constraints of xylem-feeding insects in the context of understanding allometric relationships. It is intended for an introductory biology audience.

    Keywords: allometryRatiosexponential equationslogarithmic equationsGenetics and Evolution

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    2007-Bellomo-De_Angelis-Delitala-Lecture Notes on Mathematical Modelling in Applied Sciences
    The Lectures Notes correspond to the first part of the course devoted to modelling issues to show how the application of models to describe real world phenomena generates mathematical problems to...

    Keywords: spring massLegendre polynomialsintegro-differential equationskinetic theory

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    Introductory Data Science Pipeline Activity – Yellow Fever and Global Precipitation
    Students follow the steps of a tiny data science project from start to finish. They are given a research question "Are the number of cases of yellow fever associated with global average...

    Keywords: graphinghypothesis testingdata scienceData-based inquiry in the classroomglobal healthdata science educationyellow fever

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    A Comparison of the Water Quality Between Chinatown and Bayside: Two Demographically Different Regions in NYC
    Being Published in Journal of Emerging Investigators: In this research paper, we will be comparing the water quality in Chinatown –an area with a majority poor Asian population– and Bayside –a...

    Keywords: water quality and resource allocationNew York

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    Conserving Water in a Time of Climate Change: What are the Benefits of Using Greywater on Household Gardens
    We were curious if there would be any simple way to decrease water use in communities because of the ongoing drought in California. To do this, we would use three different types of greywater,...

    Keywords: conservationclimate changewater resources

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    1-001c-PopulationDecayThenSome-ModelingScenario
    You will be modeling the following situation: 100 people are in a hotel. Each day, each person has a random chance of 50% of leaving the hotel. No new people enter the hotel.

    Keywords: simulationoccupancypopulationhotel

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    STEM Inclusive Teaching Practices Episode 3
    Episode 3 builds from Kelisa Wing's recent blog post calling for educators to hold themselves accountable for dismantling racial oppression.
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    Joel E. Greengiant Learns About Peas: From Nucleotides to Selection
    This case study follows purveyors of peas, Joel E. and Jolene Greengiant, as they learn about the origin, biochemistry, genetics and eventual artificial selection of sweet (wrinkled) peas, all in...

    Keywords: geneticspopulation geneticsEvolutionintroductory biologycase studybiologyResources @ NSF - NCCSTSmeiosisMendel’s peaspea plantPisum sativumMendel’s Lawsmolecular geneticsmutationnucleotide insertionartificial selectionstarch synthesisstarch branching enzymeplant domesticationlegumesResources @ QUBES - Teaching & Reference

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    2008-Huangi-Lu-Modeling long-term longitudinal HIV dynamics with applications to an AIDS clinical study 
    To better understand the factors responsible for the virological failure, this paper develops the mechanism-based nonlinear differential equation models for characterizing long-term viral dynamics...

    Keywords: longitudinal dataAIDSantiretroviral drug therapyBayesian nonlinear mixed-effectstime-varying drug efficacyHIV dynamics

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    5-090-SolidParticleErosion-ModelingScenario
    By applying Newton's second law, and making a collection of reasonable assumptions, students will derive a system of differential equations that model the path of a rigid particle as it gouges...

    Keywords: classical mechanicssolid mechanicsNewton's Laws of Motionrigid bodyplasticitypittingductile surface

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    2014-Wrona-EtAl-Two-compartment model as a teaching tool for cholesterol homeostasis
    To investigate cholesterol transport in the circulatory system, we have previously developed a two-compartment mathematical model. Here, we show how this model can be used as a teaching tool for...

    Keywords: metabolic syndromecompartment modelcholesterolhigh blood cholesterol

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    2014-Do-Lee-A Differential Equation Model for the Dynamics of Youth Gambling
    We examine the dynamics of gambling among young people aged 16–24 years, how prevalence rates of at-risk gambling and problem gambling change as adolescents enter young adulthood, and prevention...

    Keywords: reproductive numberGamblingepidemicsensitivity indexyouth gambling

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    2017-Agmour-EtAl-Optimization of the Two Fishermen's Profits Exploiting Three Competing Species Where Prices Depend on Harvest
    The main purpose of this work is to define the fishing effort that maximizes the profit of each fisherman, but all of them have to respect two constraints: the first one is the sustainable...

    Keywords: FishingharvestNash equilibriumoptimizeprofits

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    2015-Boggess-EtAl-Mathematical Modeling in Ecology - Simulating the Reintroduction of the Extinct Passenger Pigeon
    To determine under which conditions a Passenger Pigeon could survive a reintroduction into a natural habitat, we used two types of models.

    Keywords: simulationagent-based modelingallee_effectPassenger Pigeonsforest envirnomentHolling Type III functional responseBio-energeticstree distributions

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    2015-Wrona-EtAl-Two-compartment model as a teaching tool for cholesterol homeostasis
    To investigate cholesterol transport in the circulatory system, we have previously developed a two-compartment mathematical model. Here, we show how this model can be used as a teaching tool for...

    Keywords: metabolic syndromecholesterolhigh blood cholesterolcholesterol homeostasis

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    2014-Wang-EtAl-Estimating Mixed-Effects Differential Equation Models
    When multiple replicates of measurements are available for the dynamic process, it is of great interest to estimate mixed-effects in the ODE model for the process. We propose a semiparametric...

    Keywords: pharmacokineticsdynamic modelssmoothingsplinemixed-effects modelsHiV combination therapy

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