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    1-007-AntTunnelBuilding-ModelingScenario
    We pose the prospect of modeling just how long an ant takes to build a tunnel. With a bit of guidance students produce a model for the time it takes to build a tunnel of length x into the side of a...

    Keywords: Spanishhormigatúnelanttunnel

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    1-065-AlgalBlooms-ModelingScenario
    This modeling scenario investigates the massive algal blooms that struck Lake Chapala, Mexico, starting in 1994.

    Keywords: direction fieldstool:dfieldalgaeharmful algae bloomspopulationcompartmentLake Chapala

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    Human Dimensions in Amphibian Conservation: Addressing Threats
    This module introduces students to the theme of human dimensions in conservation and provides them with an opportunity to engage in practices related to social science research.

    Keywords: conservationhuman dimensionsamphibianssocial scienceconceptual modelstakeholder analysisopen standardsresearch proposalSPARCnet

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    3-090-OneSpringMass-ModelingScenario
    We lead students through building a mathematical model for a single mass (bob)-spring system that is hanging vertically. We also lead the students, using data that they collect together with their...

    Keywords: undampedsum of square errorsmass springHooke's Lawoscilationleast-squares approximation

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    2017-ASHP-Intro to Pharmacokinetics and Pharmacodynamics
    This is the introductory Lesson 1 in an online set of materials to introduce Pharmacokinetics and Pharmacodynamics.

    Keywords: absorptioncompartmentbloodstreamplasmapharmacokineticsdrugpharmacodynamics

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    2017-ASHP-Intro to Pharmacokinetics and Pharmacodynamics
    This is the introductory Lesson 1 in an online set of materials to introduce Pharmacokinetics and Pharmacodynamics.

    Keywords: absorptioncompartmentbloodstreamplasmapharmacokineticspharmacodynamicstherapeutic concentration rangedrug dispositiondrug response

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    3-105-FrequencyResponse-ModelingScenario
    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.

    Keywords: transient dynamicscircuitspring massdriverfrequency responseamplitudesteady state

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    QUBES: a collaboration and professional development platform for quantitative biology education
    Presentation given at BEER 2017 in Normal, IL

    Keywords: QUBESBEERResources @ QUBES - Teaching & Referencebeer17

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    2012-Michael_Kerckhove-From Population Dynamics to Partial Differential Equations
    This article illustrates PDE models for location-dependent carrying capacities, migrations, and the dispersion of a population.

    Keywords: population dynamicslogistic equationlocation-dependent carrying capacities

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    Cell Collective: Learning biology with modeling and simulations
    Cell Collective is an online, research-grade modeling platform adapted to engage students in creating and simulating dynamic models of biological processes.

    Keywords: modelingsimulationSimulationsCell Collective

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    A first lesson in mathematical modeling for biologists: Rocs
    Using a fictitious population of Rocs, a mythical species of giant raptor, students accomplish two broad objectives: 1) they undertake the process of building a first mathematical model of a...

    Keywords: population ecologypopulation modelingdiscrete generationpopulation management

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    2009-James_May-Nonlinear vibration control of long flexible structures
    An automated, non-linear control scheme was developed to transfer energy from the fundamental vibration mode, where most vibration energy of the structures of interest resides, to higher order...

    Keywords: vibrationdampingtuned mass damperviscousnodalmodel dampingflexible structureenergy transfer

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    2014-Andre_De Ross-Modeling Population Dynamics
    This course is intended as an introduction to the formulation, analysis and application of mathematical models that describe the dynamics of biological populations.

    Keywords: predator-preycompetitionpopulationgrowthbifrucationtext

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    Advancing population ecology with integral projection models: a practical guide
    Integral projection models (IPMs) use information on how an individual's state influences its vital rates – survival, growth and reproduction – to make population projections using regression...

    Keywords: IPMintegral projection modelspopulation growthreviewsdemographyelasticitylife historymatrix projection modelpopulation growth ratesensitivitystage structurevital ratesregressionResources @ QUBES - Teaching & Referencecovariatesanalytics

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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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    3-055-FloatingBox-ModelingScenario
    In this scenario, we lead students through the process of building a mathematical model for a floating rectangular box that is bobbing up and down.

    Keywords: oscillationArchimedes’ Principlebuoancyoscillatory motionNewton's Second Law

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    A Lesson on Matter and Energy at the Organismal Scale: Linking Patterns and Processes Across Diverse Taxa
    Pathways and transformations of energy and matter (PTEM) are a conceptually challenging but essential component of biological literacy. Curricular gaps about PTEM nevertheless remain; although...

    Keywords: plantsenergyAnimalsfungimatterorganismal scale

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    1-027-StochasticProcesses-ModelingScenario
    We build the infinite set of first order differential equations for modeling a stochastic process, the so-called birth and death equations. We will only need to use integrating factor solution...

    Keywords: VarianceMeanstochasticrandomoperations researchindustrial engineeringPoisson processtraffic

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    NEON Data in the Classroom: Using the QUBES Platform and Faculty Mentoring Networks to Build, Adapt, and Publish Data-Driven Open Educational Resources
    Poster on the NEON Faculty Mentoring Network presented at the 2019 BioQUEST & QUBES Summer Workshop

    Keywords: faculty mentoring networksNEON2019 QUBES/BioQUEST Summer Workshop

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    Disease Spread Simulation with M&M's and Information on the wider SIMIODE community
    This is a Student Version of a Modeling Scenario from the community, SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations at www.simiode.org

    Keywords: resourcesdifferential equationsmodelingsimulationmoduledataepidemicsdiseasecommunityapplied mathematicsResources @ SIMIODEretinal surgeryinsect colonyLSDm&mparameter estimationin-class activityproject

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