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    2009-Brian_Winkel-Population_modelling_with_MandMs
    Several activities in which population dynamics can be modeled by tossing M&M’s® candy are presented.

    Keywords: simulationparameter estimationimmigrationdeathdifference equation

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    2013-Brian_Winkel-Reflecting_On_Walls
    We reflect on our passion for teaching mathematics, useful mathematics, by considering our understandings of just what a wall is and what a wall means to us.

    Keywords: mathematicsmathematical modellearningcell wall

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    2016-I-Liang_Chern-Mathematical Modeling_and_Ordinary_Differential_Equations
    We let the author's Table of Contents speak for itself.

    Keywords: differential equationsmodelingtextbook

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    2014-Jeffrey_Chasnov-Lecture_Notes_on_Introduction_to_Differential_Equations
    The differential equations text is 128 pages and develops and motivates the theory of the material nicely, with links to YouTube lectures to assist.

    Keywords: differential equationsbiologytextbook

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    2018-Eduardo-Sontag-Lecture_Notes_on_Mathematical_Systems_Biology
    I am often asked if it is OK to use these notes in courses at other universities. The answer is “of course!” though I strongly suggest that a link to my website be provided, so that students can...

    Keywords: biologytextbooksystemsdyanmical system

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    2018-Winkle-Igoshin-Bennett-Josic-Ott-Modeling_Mechanical_Interactions_in_Growing_Populations_of_Rod-Shaped_Bacteria
    Here, we present an agent-based model that allows growing cells to detect and respond to mechanical interactions.

    Keywords: bacteriaagent-basedpopulationbrod-shapedcellular growth

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    2019-Ekici_Plyley. Inquiry-Based_Modeling_of_Population_Dynamics_With_Logistic_Differential_and_Difference_Equations
    Inquiry-based learning activities on modeling and controlling the growth of locally relevant species, such as lionfish or sea turtles, are developed by the authors.

    Keywords: population dynamicslogisticInquiry-based modelingIBL

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    2019-Banuelos_Danet_Flores_Ramos-Epidemiological_Math_Model_Approach_To_Political_System_with_Three_Parties
    A nonlinear compartmental model is derived to study the movement between classes of voters with the assumption of a constant population that is homogeneously mixed.

    Keywords: politicsparametersvotingcompartment modelepidemiological modelequilibriathree-party system

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    2020-Ciaroshi-How_COVID-19_Spreads_MathModels
    On December 31, 2019, the Chinese city of Wuhan reported an outbreak of a novel coronavirus (COVID-19) that has since killed over 4,200 people. As of March 11, 2020, over 118,000 infections—have...

    Keywords: diseasecovidoutbreakWuhancoronoavirus

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    2020-Chen_Et_Al-MathModel_Simulation_Phase-Based_Transmissability_Corona_Virus
    In this study, we developed a Bats-Hosts-Reservoir-People transmission network model for simulating the potential transmission from the infection source (probably be bats) to the human infection.

    Keywords: basic reproduction numbercoronavirusnext generation matrixtransmissibilitynovel coronavirus

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    Modified Grassy Narrows and Muskrat Falls Dam: Hypothesis Testing and t-Tests
    Methylmercury contamination within fish populations is an important toxin that affect human, animal, and environmental health, serving as a carcinogen (cancer-causing agent) and endocrine-disruptor...

    Keywords: statisticsmathematicsbiostatisticsecologybiologygraphingp-valuest-testshypothesis testingin-class activityZoologymercury biogeochemistrybiostatistics - generalfish populationqbccEndocrine DisruptorsBiogeochemical cyclesInterpret graphsSolving Equations and InequalitiesConcepts in StatisticsElementary Hypothesis TestingMethylmercurydamsBioaccumulationtraditional dietsmercurymercury poisoningnative peopleindigenous populationCanadahydroelectricexplaining statisticsusing statisticsMake probability calculationsbiomagnification

    555

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    How to Find a Gene: Retrieving Information From Gene Databases
    A strong understanding of distinct gene components and the ability to retrieve relevant information from gene databases are necessary to answer a diverse set of biological questions. However, often...

    Keywords: NCBItranscriptiontranslationGene StructureGene databasesEnsembl

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    6-003-SchoolFluEpidemic-ModelingScenario
    We offer a model of the spread of flu in a school dormitory and are asked to find when the flu levels reach their peak and explain long term behavior of the spread of the flu.

    Keywords: infectionepidemicSIR modelflupeakschool children

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    1-001-MM-DeathAndImmigration-ModelingScenario
    We conduct a simulation of death and immigration, using a small set of "individuals", m&m candies or any two sided object (coin, chips), in which upon tossing a set of individuals we cause some to...

    Keywords: simulationimmigrationdeathSpanishdatsWinkelBrian Winkel

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    Human Activity and Soil Hostility
    The composition of soil can be broken down to a mixture of both abiotic and biotic matter. This composition can include animal waste, minerals, water, and even air. The complex nature of soil...

    Keywords: soil science

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    Presence of Vegetation in Relation to Slope in Yosemite Valley, California
    Here we examine the relationship between the slope of a terrain and vegetation, measured by NDVI levels. I used satellite data from Yosemite Valley to analyze and test for statistical...

    Keywords: vegetation

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    Grassy Narrows and Muskrat Falls Dam: The Central Limit Theorem and a t-test
    Students are introduced to concepts of sampling distributions and hypothesis testing using a simulation applet, elementary hypothesis tests, t-tests, and p-values as they compare a given fish...

    Keywords: statisticsmathematicsbiostatisticsecologybiologygraphingp-valuest-testshypothesis testingin-class activityZoologymercury biogeochemistrybiostatistics - generalfish populationqbccBiogeochemical cyclesInterpret graphsSolving Equations and InequalitiesConcepts in StatisticsElementary Hypothesis TestingMethylmercurydamsBioaccumulationtraditional dietsmercurymercury poisoningnative peopleindigenous populationCanadahydroelectricexplaining statisticsusing statisticsMake probability calculations

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    Effect of the Intestinal Protein Snakeskin on the Lifespan of Fruit Flies: A Kaplan-Meier Survival Analysissource Draft (1)
    In this activity, students perform the Kaplan-Meier survival analysis on raw data obtained from an experiment that explores the effect of overexpressing the Snakeskin (Ssk) protein on the lifespan...

    Keywords: graphingBiochemistryhypothesis testingcalculus and biologyapproximating areas under curvesqbccCellular and Molecular BiologyCreate graphsInterpret graphsSolving Equations and Inequalitiesinterpret tablesConcepts in Statisticsusing statisticschi-square analysissurvival analysis

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    Using the Project EDDIE Sustainability Metrics module in Exploring Earth
    Students use GapMinder, an interactive data exploration and visualization tool, to assess human impact on Earth systems. Using the impact = population x affluence x technology (IPAT) framework...

    Keywords: sustainabilityProject EDDIE

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    Advancing Global Learning Through a Collaborative Online International Learning (COIL) Module on the United Nations Sustainable Development Goals (UN SDGs)
    An increasingly interconnected world presents opportunities for globally relevant curricula in the classroom. Implementing collaborative online international learning (COIL) modules within...

    Keywords: Collaborative Online International LearningGlobal LearningPlants and SocietyUnited Nations Sustainable Development GoalsMedicinal PlantsPhytochemicalsPlant Natural Products

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