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    6-025-WhalesAndKrill-ModelingScenario
    Students will use Excel to observe qualitative behavior in a simulation of a predator-prey model, with blue whales and krill as the predator and prey populations, respectively.

    Keywords: krillwhalepredatpr-prey

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    3-070-FallingInWater-ModelingScenario
    We model a small canister with ballast to keep it vertical as it falls through water in a graduated cylinder filled with water. We suggest several models in terms of resistance due to the media and...

    Keywords: datawaterresistancefallingbuoyancymass

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    Metastatic Mastery: A Case and Game-Based Approach to Learning About Cancer Mechanisms
    Mechanisms that contribute to the development of cancer are numerous and complicated, though most can be traced to a set of mutations in cell cycle regulatory genes that throw the process of cell...

    Keywords: mutationcancertranscriptioncell cycletranslationOncogenesTumor-suppressorp53Transcription factor

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    5-040-TunedMassDamper-Part-I-Modeling Scenario
    We offer an opportunity to build mathematical models to mitigate dangerous displacements in structures using structural improvements called Tuned Mass Dampers. We model the motion of the original...

    Keywords: structurespring-mass-dashpotspring massearthquakevibrationtuned mass tunerrestoring forcecontroldampe

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    Exploring the Ecology of Gorongosa
    Students learn about bottleneck events, population demographics and growth, ecological niches and competition, food chains/webs and ecological disturbances through past and current data on...

    Keywords: Community Ecologypopulation ecology

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    Investigating the Drivers of Western Monarch Decline Using Partial Least Squares Regression
    In this lesson, students will explore the drivers of the western monarch butterfly decline. Students will compare the effects of climate factors and land use factors on the western monarch...

    Keywords: RStudiomultivariate analysisMonarch butterfliesPartial Least Squares Regression

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    Tag You're It: A Lesson Investigating Study Design and Survival Analysis on an American Shad Tagging Study
    In this lesson, students will learn about the various mark-recapture and tagging methods that are used in various scientific disciplines and the information they can gather. Key elements of...

    Keywords: survival analysisAmerican ShadCox Proportional Hazards ModelStudy Design

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    2018-Kovacs-Insperger-Retarded neutral and advanced differential equation models for balancing using an accelerometer
    It is shown that slight modeling differences lead to significant qualitative change in the behavior of the system, which is demonstrated by means of the stability diagrams for the different models.

    Keywords: feedbackAccelerometersfunctional differential equationssemi-discretizationD-subdivision method

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    2008-Jai-Li-Differential equations models for interacting wild and transgenic mosquito populations
    We formulate and study continuous-time models, based on systems of ordinary differential equations, for interacting wild and transgenic mosquito populations.

    Keywords: Mosquito borne diseasespopulationsHolling-II-type mating ratestransgenic mosquitoesnonhyperbolic equilibriummosquitoes

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    2006-G_Ashline-J_Ellis-Monaghan-How high-fast-long-Modeling water rocket flight with calculus
    We describe an easy and fun project using water rockets to demonstrate applications of single variable calculus concepts.

    Keywords: calculusFlightprojectilewater rocket

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    2004-Jones-Song-Thomas-Controlling wound healing through debridement
    In this article, a system of differential equations that models slough/wound interaction is developed.

    Keywords: bacteriawound healinghealingderidingisocline

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    The Effect of Different Fertilizer Treatments on the Sprouting Time and Growth of Cosmos seeds, seeds of the genus Myosotis Forget-Me-Not seeds, and Cruciferae Brassica nigra Mustard seeds
    During the past decade, climate change has become an important topic. A few ramifications include an excess amount of carbon dioxide and rising temperatures. It is predicted that ecosystems may...

    Keywords: agriculture

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    Identifying Groundwater Discharge Dynamics into Stream Habitat Assessments
    Groundwater contributions are overlooked in many habitat assessments, even though their ecological and water quality importance to streams has been broadly recognized. This lab encourages students...

    Keywords: landscape ecologyriver systemsRiver Field Studies NetworkGroundwater - Surface Water Exchangegroundwater seepsstream temperature

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    HSI - Student Research Journal - Vol.1 Issue 4 - Fall 2020
    The Headwaters Research Experience students have produced some fascinating research throughout our 10-week program. We encourage all to read their reports in our Vol. 1 - Issue 4 - Fall 2020...

    Keywords: scientific methodscience education

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    HSI - Student Research Journal - Vol.1 Issue 2 - Fall 2020 v.1.0
    The Headwaters Research Experience students have produced some fascinating research throughout our 10-week program. We encourage all to read their reports in our Vol. 1 - Issue 2 - Fall 2020...

    Keywords: scientific methodscience education

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    9-001-SkinBurnModelNumericalMethods-TechniqueNarrative
    The heat equation is an important partial differential equation (PDE) which describes the distribution of heat in a given region over time. Numerical methods play an important role in solving these.

    Keywords: Maternal-Fetal interfaceheat equationConservation of Energytheat fluxEuler's forward methodcentral differenceskin burnhyperthermiathermal conductivitylayers

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    Ocean Acidification: Predator-Prey Interactions of Intertidal Snails and Sea Stars
    This lesson discusses ocean acidification, its causes, and the potential dangers that it may pose to aquatic ecosystems by analyzing the relationship between intertidal invertebrates. While...

    Keywords: predator-prey interactionsocean acidification

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    A Phenology-focused CURE using Herbarium Specimen Data
    10-week course-based undergraduate research experience in which students conduct novel research on the effects of climate on phenological events (e.g., flowering) of a plant species using publicly...

    Keywords: phenologyScientific ProcessCURE

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    Using Bioinformatics Activities to understand the Past and Present of SARS-CoV2
    We have designed a Bioinformatics activity that uses tools to identify the origins and mutations in the novel SARS-CoV2 strains.
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    Analysis of Amylase Activity
    This lab is an exploration of enzyme function and the effects of environmental conditions on the activity of the enzyme amylase. The lab utilizes analytical and graphing skills to assess enzyme...

    Keywords: data analysisintroductory biologyconcentrationgraphinglinear equationsBiochemistryscientific methodstandard curveenzyme functionMicrosoft ExcelInterpreting GraphsenzymesqbccCreate graphsInterpret graphsSolving Equations and Inequalitiesinterpret tablesAmylaseAlpha-amylaseEnzyme activityMaltoseDNS assayAbsorbancelab reportspectrophotometryregression linemanipulating equationsline of best fitgraphing by hand

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