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    2002-Nelson-Perelson-Mathematical analysis of delay differential equations models of HIV-1 infection
    We develop and analyze a set of models that include intracellular delays, combination antiretroviral therapy, and the dynamics of both infected and uninfected T cells.

    Keywords: infectionHIVT cells

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    2008-Abramson-Mathematical modeling of the spread of infectious diseases
    These are informal notes, mostly based on the bibliography listed at the end and on recent papers in the field. The practical use of these models is based on the fact that they can be kept...

    Keywords: infectious diseaseepidemiccowpoxsmallpoxcomplex networks

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    2014-Bozkurt-Peker-Mathematical modelling of HIV epidemic and stability analysis
    A nonlinear mathematical model of differential equations with piecewise constant arguments is proposed. This model is analyzed by using the theory of both differential and difference equations to...

    Keywords: diseaselogisticHIVpiecewise constantIndia

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    1998-K_H_Louie_Clark-P_C_D_Newton-Analysis of differential equation models in biology-clover meristem populations
    A simple differential equation model (dynamical system) for clover, based on meristem numbers, is outlined and analysed mathematically.

    Keywords: sensitivity analysisstability analysissteady statesgrowing pointsbudsmeristems

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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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    1-077-RLMSimSeriesCircuit-ModelingScenario
    In this validation setup, the first order linear ordinary differential equation governing a small signal RL series AC circuit is solved analytically and the results are compared with the data...

    Keywords: MeasurementcircuitvoltagecurrentvalidationSPICERL circuitMultilsim

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    4-039-FallingDarts-ModelingScenario
    we develop, solve, and analyze a second order differential equation model for free fall incorporating air resistance. Students solve the model using two methods -- reduction of order and...

    Keywords: optimizationresistanceterminal velocitymuzzle velocitydrag coefficientfree fallair drag

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    5-012-LipoproteinModeling-ModelingScenario
    Data from a study on the amounts of low-density-lipoprotein (LDL), form of cholesterol, in blood plasma is presented. Students build, validate, and use a compartment model of the kinetic...

    Keywords: wildlifelow-density-lipoproteintracercompartment modelcholesterolblood plasmabody tissue

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    Scientist Spotlights and Data Nuggets Workshop Materials (BIOME 2021)
    Materials and resources for the "Scientist Spotlights and Data Nuggets Workshop," presented at the 2021 Biology and Mathematics Educators (BIOME) Institute.

    Keywords: data literacyDiversity in STEM classroomsonline professional development

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    Oyster Restoration Success and Water Quality in the James and Rappahannock Rivers of Virginia
    This QUBES lesson uses statistical analysis to test whether or not oyster restoration sites in Virginia are successfully increasing the number of oysters and whether or not water quality is...

    Keywords: aquatic ecologymarine ecologyggplot2Pearson correlation coefficientSimple Linear RegressionnitrogenJames Rivertidyversechesapeake baywater qualityphosphorusharmful algae bloomsvirginia

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    Evolution of Caffeine Biosynthesis Enzymes
    This case focuses on exploring why plants make secondary metabolites like caffeine and how the enzymes required for making caffeine evolved.

    Keywords: Evolutioncaffeinemolecular visualization and analysisenzymesPDBMolecular Case Study

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    Sickle Cell Disease Case Study
    A short film explores the evolutionary connection between an infectious disease, malaria, and a genetic condition, sickle cell anemia. The animation explores the genetic causes and biological...

    Keywords: HHMI BioInteractive

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    Movement: Nature's Flying Machines
    In this lab, you will explore the physics of flight, the adaptations that make powered flight possible, and the evolution of powered flight in vertebrates and invertebrates.

    Keywords: citizen sciencequantitative skillsDigital RepositoryFlight

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    The Polar Bear of the Salt Marsh? Warming Tolerance Limits of Local Species
    National Center for Case Study Teaching in Science- In the adaptation exercise, students explore connections between saltmarsh sparrow declines and declining populations of local species that live...

    Keywords: Coastal wetlandsConnecticutmanagementnortheastsea-level risesalt marsh

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    Regulation of Gene Expression and Adipogenesis by PPAR-γ
    Students learn about transcriptional regulation of PPAR-γ, an important controller of adipose tissue stores and energy metabolism through a drawing/coloring activity of the different components...

    Keywords: gene expressionsmall group worktranscriptional regulationadipose tissuefat metabolismrepressor

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    Investigating the effects of urbanization on bird biodiversity: Testing three biodiversity hypotheses using citizen science data
    Students generate predictions and test three hypotheses about how biodiversity is affected by urbanization over time using citizen science generated bird count data and land use data from 13...

    Keywords: hypothesis testingBiodiversityurbanizationguided inquiryland useproductivity hypothesisecosystem stress hypothesisintermediate disturbance hypothesis

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    Food Chain Dynamics In A Simple Ecosystem
    In this lab, students will work with a simple algae/brine shrimp environment to learn about food chains and population dynamics. It was implemented with limited alteration for an Introductory...

    Keywords: ecologyecosystemsfood chain

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    SIMIODE Spring 2024 Webinars - Insightmaker
    We discuss the use of the FREE system dynamics software Insightmaker (https://insightmaker.com/) in a first course in Ordinary Differential Equations (with a modeling emphasis).

    Keywords: modelingsimulationSoftwarepythonsystemsInsightMakerflowCategory Theorystockstock-flow

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    Creating a Deeper Understanding of Big Geospatial Data, Volunteered Geographic Information (VGI), and Community Science using Project Eddie Modules
    This module uses the Project Eddie Module Assessing the Risk of Invasive Species Using Community Science Data developed by Heard, M. J. (2023) to create a deeper understanding of big geospatial...

    Keywords: GISInvasive SpeciesGeospatial ScienceProject EDDIEgeographyCitizen and Community Sciencegeographic information sciencevolunteering

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    2018-Adeniji-EtAl-InverseProblemHolling-TannerModel
    We consider the inverse problem of parameter identification of nonlinear system of ODEs for a specific case of complete information about solution of the Holling-Tanner model for finite number of...

    Keywords: goal functionabsolute error curvesinvers methodholling-Tanner model

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