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    Investigating the ecological value of migratory fishes on stream ecosystems in southern Appalachia
    Using the Ecological Society of America’s Four-Dimensional Ecology Education (4DEE) framework, students apply ecological concepts such as energy flow, nutrient cycling, migration, and climate...

    Keywords: Stream ecologynutrient cycling4DEE Frameworkfish migration

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    Antibiotic Resistance of Bacterial Soil Isolates and Biofilm Production
    In this lesson, learners will hear about research that focuses on bacterial antibiotic resistance and biofilm production. Students will see how antibiotic resistance is measured and interpret a...

    Keywords: graph interpretationmicrobiologybiofilmfmnantibiotic-resistanceBioGraphIrepresentation in STEM

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    3-034-CarSuspension-ModelingScenario
    We examine the spring-mass-dashpot that is part of a car suspension, how the ride is related to parameter values, and the effect of changing the angle of installation. We model a ``quarter car'',...

    Keywords: designspring-mass-dashpotspring constantunderdampingcar suspensionsuspension tolerancestatic equilibrium

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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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    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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    2016-Lewnard-Townsend-Climatic and evolutionary drivers of phase shifts in the plague epidemics of colonial India
    Our analysis shows that historical datasets can yield powerful insights into the transmission dynamics of reemerging disease agents with which we have limited contemporary experience to guide...

    Keywords: infectious diseasepVector-Borne Diseaselagueplague

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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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    2012-Tweedle-Smith-Mathematical model of Bieber Fever-The most infectious disease of our time
    We develop a mathematical model to describe the spread of Bieber Fever, whereby individuals can be susceptible, Bieber-infected or bored of Bieber.

    Keywords: infectious diseasediseaseinfectionmediaJustin BieberBieber feversymptomsboredreproductive ratio

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    2009-Schaffer-Bronnikova-Controlling malaria
    The present paper reviews potential control strategies from the viewpoint of mathematical epidemiology.

    Keywords: epidemiologymalariabifurcationmosquitotransgenic mosquitoes

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    2011-Lorelei_Koss-Sustainability_in_a_differential_equations_course_case_study_of_Easter_Island
    Easter Island is a fascinating example of resource depletion and population collapse, and its relatively short period of human habitation combined with its isolation lends itself well to...

    Keywords: differential equationssustainabilitypopulationEaster Islandcollapseenvironmental collapse

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    1-044-CollegeBound-ModelingScenario
    Preparing for four years of college for a friend of the family's newborn is the task. Making assumptions about costs, timing, interest rates, and fiscal capabilities are the order of the day.

    Keywords: interest ratecollege savingtuitionroom and board

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    5-020-ParacetamolAbsorption-ModelingScenario
    We offer drug absorption data on paracetamol, an analgesic pain reliever, for two different sets of patients, vegetarian and non-vegetarian. Students build a two compartment model for plasma and...

    Keywords: paracetamolanalgesicvegetariannon-vegetarian

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    The Mathematics of Voting Systems: Plurality, Runoff and Ranked Choice
    In this five-day interdisciplinary math and social studies unit, students use math to create informed opinions about the three most common voting systems in the United States: plurality, runoff and...

    Keywords: mathematicsInterdisciplinary STEMInterdisciplinary Mathematics Educationinterdisciplinary math educationvoting

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    The Effect of Instructor Communication on Student Perceptions of Mathematics in Biology
    Undergraduate research poster presented at the Undergraduate Research Symposium at the University of Pittsburgh in 2015.

    Keywords: biology teachingundergraduate researchPresentation

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    A clicker-based case study that untangles student thinking about the processes in the central dogma
    The central dogma of biology is a foundational concept that provides a scaffold to understand how genetic information flows in biological systems. Despite its importance, undergraduate students...

    Keywords: mutationtranscriptionphenotypecentral dogmatranslationDNA replication

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    The Edge Effect
    This module has students venturing outdoors to take a 50m transect and collect abundance data on plants utilizing quadrats in both edge and interior environment. Mathematically the goals of this...

    Keywords: statisticsecologydata analysisExcelintroductory biologygraphingp-valuest-testsQuantitative reasoninghypothesis testingsample sizestatistical testsinterdisciplinarystatistical analysisCommunity Ecologyspecies diversityvariationdiversity indexvinterpret dataNIQBShannon diversity indexC3. Statistical AnalysisC6. Quantitative Languageedge effect

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    Plant-microbial mutualisms in canopy gap recovery: How do soil microbial symbionts help tropical forests recover from treefall gaps?
    This module uses tropical plant-soil microbial interactions in canopy gaps as a lens to better understand species interactions and disturbance ecology, while showing how scientists study these...

    Keywords: forest ecologyPlant Ecologynutrient cyclingmicrobestropical forestsDisturbances

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    2010-Kar-Chakraborty-Bioeconomic_modelling_of_a_prey_predator_system_using_differential_algebraic_equations
    We propose a biological economic model based on prey-predator dynamics where the prey species are continuously harvested and predation is considered with type II functional response.

    Keywords: economicsbifurcationharvestfisheryequilibriumdifferential algebraic equation

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    1-019-RocksInTheHead-Modeling Scenario
    We describe an experiment with data on the perception of the individual mass of a collection of rocks in comparison to a 100 g brass mass. Students use the logistic differential equation as a...

    Keywords: logistic growthparameter estimationexperiment

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    Climate change and Strawberries: A real-life problem-based activity for teaching ANOVA
    This is a real-life lab activity for teaching ANOVA using Problem-Based Learning and formatted for one-day (JMP or R) or two-day (JMP) implementations.

    Keywords: climate changeProblem based learningANOVAplant sciencetwo-way ANOVA

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