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    Integrating Manipulatives and Animations to Visualize Holliday Junctions
    The complex molecular architecture of Holliday junctions is often challenging for undergraduate biochemistry students to conceptualize. In particular, they have difficulty translating from...

    Keywords: dna structureDNA damageDNA recombinationGene crossoverHolliday junction

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    Phenology Trends and Climate Change in Minnesota (Project EDDIE)
    In this module, students will practice answering a specific question about how climate change has affected flowering date in American elm trees. Students can then practice on a species of their own...
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    1-030-RandomPerturbation-TechniqueNarrative
    After a brief historical view of this problem, we will demonstrate the derivation of first order linear differential equations with random perturbations.

    Keywords: random perturbationBrownian motionLangevin equationRiemann-Steiltjes integralWiener processIto's calculus

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    2011-Lucas_Pulley-Analyzing Predator-Prey Models Using Systems of Ordinary Linear Differential Equations
    This research focused on applying biological mathematics to analyzing predation relationships, especially the relationship between the Canadian Lynx and the Snowshoe Hare.

    Keywords: simulationpredator-preyLotka-VolterrapopulationCanadian LynxSnowshoe Harecritical values

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    1-033-SouthernBarbeque-ModelingScenario
    We offer raw data collected from two thermometers used in the smoking process of Southern barbecue. One thermometer measures the temperature inside of the smoke chamber and the other measures the...

    Keywords: nonlinear regressionlogisticNewton's Law of Cooling-Warmingbarbecue

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    1-083-FallingMeteorites-ModelingScenario
    After introducing the solution to the ordinary differential equation which models a falling object with drag (first-order, non-linear, separable), students will consider generalizing the model to a...

    Keywords: falling objectdragvariable massfactor rankingmeteormeteorite

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    1-122-SpreadPEV-ModelingScenario
    We present data on world sales data of plug-in electric vehicles (PEVs) and request a model on the rate of change in sales over time, leading to prediction as to number of PEVs in the future.

    Keywords: datalogisticpredictionspreadplug-in vehiclePEV

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    Species Range Over Space and Time
    In this module, students use data from natural history collections to look at range shifts related to climate variables over different time periods.

    Keywords: data in the classroomdigital resourcesclimate changenatural history collection

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    1975-David_Burghes-Population dynamics An introduction to differential equations
    In this paper a number of population models, which lead to differential equations, are derived. First-order variables separable equations are formulated from the Malthusian population model and its...

    Keywords: fishpredator-preylogisticpopulationdelaylag

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    Is bigger always better? An investigation on the effect of drought on different sizes of trees
    This data set was compiled from worldwide data to examine the effects of drought on trees. Included in the dataset are measurements of growth and mortality as they relate to the size category of...

    Keywords: statisticsforest ecologydata analysisclimate changeANOVAGraphing Functionsforest health

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    2017-Fred_Adler-Mathematically Modeling Asthma
    Our Asthma models have examined how a viral infection can tip the immune system into a different state, with the potential to predispose an individual to future asthma

    Keywords: infectionasthmaimmune responserhinovirus

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    2009-Noakes-Sleigh-Mathematical models for assessing the role of airflow on the risk of airborne infection in hospital wards
    Understanding the risk of airborne transmission can provide important information for designing safe healthcare environments with an appropriate level of environmental control for mitigating risks.

    Keywords: infectioncompartmenthospitalventilationairbornesthochasticWells–Riley

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    Reflective Writing Tools: Building Skills and Habits of Thinking in Becoming a Scientist
    Reflective writing tools are intended to help students better connect current learning experiences to prior learning, engage the role of emotion in current and future learning, and assess learning...

    Keywords: STEM educationreflective writingMentorshipambiguityindependenceperseverance

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    SEAS CURE: Exploring Coral Biology Across Scales
    Complex biological concepts (like symbiosis and coral biology) that span multiple scales and cross disciplinary boundaries are often difficult for students to understand. This complexity is...

    Keywords: microscopyAnatomySymbiosisMetabolismbleachinginvertebratedinoflagellate

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    5-077-MandMAttritionWarfare-ModelingScenario
    Students model attrition between two opposing forces using M&M candies and discover a system of linear differential equations of order one, often called the Lanchester equations.

    Keywords: attritionLanchester modelpredator-predatorN-square Law

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    1981-Geoffrey_Berresford-Differential Equations and Root Cellars
    This is a classic module from UMAP in which the heat equation in one dimension is fully developed by using the standard technique of measuring the heat flow in and out of a small element of mass...

    Keywords: temperaturethermal conductivityheat flowthermal diffusivityroot cellar

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    Comparative Landscape Ecology Project using RStudio Cloud (Project EDDIE)
    This modified version incorporates the use of RStudio Cloud for easier remote instruction, and culminates in an exploratory project comparing the influence of patch metrics on vegetation health for...
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    Exploring how climate will impact plant-insect distributions and interactions using open data and informatics
    This teaching module provides an entry point for students to learn about data science, open data repositories (e.g., citizen science data), and species distribution modeling to study the effects of...

    Keywords: modelingcitizen sciencehypothesis testingdata scienceclimate changeR programming languageBiodiversityplant animal interactionsinquiry-based learningspecies distributionseco-informatics

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    2013-Fathalla_Rihan-Delay Differential Equations in Biosciences - Parameter estimation and sensitivity analysis
    This is a review article to show that delay differential models have a richer mathematical framework (compared with models without memory or after-effects) and a better consistency with biological...

    Keywords: epidemiologysensitivityImmunologyphysiologyRK-methodstime-lags

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    1-004-MicroorganismImmigration-ModelingScenario
    We present a modeling opportunity for population death with non-constant immigration and suggest the use of both discrete and continuous models with a comparison of results.

    Keywords: continuousimmigrationpopulationdeathdiscrete

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