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    2008-Huangi-Lu-Modeling long-term longitudinal HIV dynamics with applications to an AIDS clinical study 
    To better understand the factors responsible for the virological failure, this paper develops the mechanism-based nonlinear differential equation models for characterizing long-term viral dynamics...

    Keywords: longitudinal dataAIDSantiretroviral drug therapyBayesian nonlinear mixed-effectstime-varying drug efficacyHIV dynamics

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    1972-R_C_Rothermel-A Mathematical Model for Predicting Fire Spread in Wildland Fuels
    The development of a mathematical model for predicting rate of fire spread and intensity applicable to a wide range of wildland fuels is presented from the conceptual stage through evaluation and...

    Keywords: predictionforest firefire managementfire spreadfuel

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    5-090-SolidParticleErosion-ModelingScenario
    By applying Newton's second law, and making a collection of reasonable assumptions, students will derive a system of differential equations that model the path of a rigid particle as it gouges...

    Keywords: classical mechanicssolid mechanicsNewton's Laws of Motionrigid bodyplasticitypittingductile surface

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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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    Teaching Exponential and Logistic Growth in a Variety of Classroom and Laboratory Settings
    Experiment included in Teaching Issues and Experiments in Ecology (TIEE) Volume 9

    Keywords: Resources @ ESA - TIEEpopulation growth

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    Keep It Shrimple: An Adaptable Student-Driven Research Project for the Introductory Biology Laboratory
    A challenge in introductory biology laboratory courses is to provide students with authentic, engaging research opportunities that allow them to take ownership of their experiments. We present a...

    Keywords: hypothesis testingexperimental designanimal behaviorbrine shrimp

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    The Leaky Neuron: Understanding synaptic integration using an analogy involving leaky cups
    Students have difficulty understanding synaptic integration in neural circuits, and how spatial and temporal summation combine in a target neuron to reach threshold.  This Lesson uses small...

    Keywords: neuron physiologyspatial summationsynaptic integrationtemporal summationthreshold

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    2007-Mogen_Steffensen-Differential Equations in Finance and Life Insurance
    The mathematics of finance and the mathematics of life insurance were always intersecting. Life insurance contracts specify an exchange of streams of payments between the insurance company and the...

    Keywords: financedisabilitylife insurancemortalityinsuraneThiele’s equationBlack-Scholes equation

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    Distributions CURE- Exploring Species Distribution Changes and their Drivers
    This course-based undergraduate research experience (CURE) uses digitized natural history collections data to answer questions about species distributions and their drivers. This inclusive CURE can...

    Keywords: Evolutionecologyidigbiodata management#iNaturalistcourse based undergraduate research experienceshuman impactsspecies distributionscourse-based research experiences (CUREs)digitized natural history collectionsGBIFQGISBCEENETgeoreferencing

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    Using Grassy Narrows in a Live Classroom with Clicker Questions and Interactive Histogram: Sampling Distributions, Probability, and Hypothesis Testing
    Students are introduced to concepts of sampling distributions, p-values, and hypothesis testing. Using both simulated and real data for methylmercury level in fish populations, students will...

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

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    Assessing Socioeconomic Trends in Tree Cover and Human Health in Urban Environments
    In this exercise, students use a combination of publicly available data and tree cover data that they generate using iTree Canopy to test whether tree cover is equitably distributed within the city...

    Keywords: social justiceSimple Linear Regressionenvironmental justiceGeographic Information System (GIS)Using ExcelConnection to PlaceredliningEcosystem Servicesurban tree coverurban environments

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    Island biogeography, spatial ecology, and macroinvertebrate species diversity in Richmond’s rock pools
    Students investigate questions of community ecology and biogeography using data from an urban rock pool ecosystem. Using ArcGIS 10, students learn to create effective maps, calculate landscape...

    Keywords: aquatic macroinvertebratesCommunity Ecologyspecies diversityGeographic Information System (GIS)spatial analysisJames River

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    The nose knows: How tri-trophic interactions and natural history shape bird foraging behavior
    Students investigate the role of olfaction and infochemicals on bird foraging behavior through three different quantitative modules. In this module students create graphs, generate statistics, draw...

    Keywords: Resources @ ESA - TIEEforagingfmnbehavioral ecologyDIGtrophic cascadesAntarctic foodd webs

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    2012-Vivek_Patel-Chemical Kinetics
    The book is designed to help the reader, particularly students, researchers, research scholars, scientists, chemists and industry fraternity of chemistry and allied fields; understand the mechanics...

    Keywords: kineticschemistryreaction

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    1994-T_Gruszka-A_Balloon_Experiment_in_the_Classroom
    The experiment consists of dropping a balloon from two different heights and recording the time it takes to hit the floor. The following experiment involves a balloon, a stopwatch, and a...

    Keywords: differential equationsresistancegravityfree fallaccelerationballoon

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    Engaging Undergraduates in Mechanisms of Tubular Reabsorption and Secretion in the Mammalian Kidney
    If students fail to see the connections among physiological systems, they can become overwhelmed with the amount of information they need to learn. Some students have particular difficulty with the...

    Keywords: OsmosisActive transportMass flowRenal reabsorptionRenal secretionTransport across membranes

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    Simulating Cortical Rotation, Axis Induction, and Experimental Embryology in Amphibian Embryos Using Clay Models
    The study of development requires learners to understand spatially complex concepts like embryo anatomy. Embryo anatomy is dynamic over time, and it is often manipulated by researchers in...

    Keywords: developmentXenopusfertilizationEmbryologyinductionSymmetry breakingOrganizerCortical rotationPatterning

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    How Do Kidneys Make Urine From Blood? Qualitative and Quantitative Approaches to Filtration, Secretion, Reabsorption, and Excretion
    The function of the kidneys is to help maintain a constant internal environment (homeostasis) by regulating the volume and chemical composition of the blood. This regulation occurs via three...

    Keywords: collecting ductexcretionglomerular filtration rate (GFR)nephron tubulereabsorptionrenal corpusclesection

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    The ACTN3 Polymorphism: Applications in Genetics and Physiology Teaching Laboratories
    Inquiry-based undergraduate laboratories provide the opportunity to engage students in a research experience that improves scientific thinking, but such activities can be difficult to develop and...

    Keywords: protein structure and functionhuman genetic variationmuscle physiology

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    Learning How to Make “Good Enough” Estimations
    The ability to estimate physical quantities is a useful skill that can help develop critical thinking and scientific literacy. This lesson provides an accessible way to teach students how to...

    Keywords: MeasurementestimationcommunicationProblem Solvinggroup workUnit conversion

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