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    AIMS- Analyzing Images to learn Mathematics and Statistics - studying leaf cutter ants to learn linear regression
    This is a teaching resource that uses fascinating images and videos of leaf cutter ants foraging in Panama to provide an engaging context for students to learn about mathematics and statistics.

    Keywords: statisticsmoduleecologydata analysisleaf cutter antsmorphologyforagingallometryeusociallinear regressionimage analysisin-class activitylab protocolproject

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    2018-Joseph-EtAl-A Nonlinear differential equation model of Asthma effect of environmental pollution using LHAM
    In this paper, we investigated a nonlinear differential equation mathematical model to study the spread of asthma in the environmental pollutants from industry and mainly from tobacco smoke from...

    Keywords: asthmatobacco smokeLiao’s Homotopy analysis Method (environmental pollutants

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    2008-Padir-EtAl-Teaching Differential Equations in a Diverse Classroom
    The interesting portion of this paper are the descriptions of student projects offered: Vibrations of a 3-Story Building in an Earthquake, Triple Pendulum, Nonlinear Circuit. Phase portraits were...

    Keywords: circuitearthquakevibrationpendulumbuikldingtriple pendumlumnonlinear circuit

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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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    2014-Vance-Eads-Sensitivity Analysis of a Three-Species Nonlinear Response Omnivory Model with Predator Stage Structure
    We investigate a three-species nonlinear response omnivory model incorporating stage structure in the top predator. The model consists of four coupled ordinary differential equations involving...

    Keywords: stage structuresensitivity analysismortalityomnivoreomnivory modelsearch rates

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    Modeling Changes in Probability of Presence of Myotis lucifugus Due to White Nose Syndrome: An Introduction to Logistic Regression in R
    In this lesson, students will learn more about the wildlife disease known as white nose syndrome and how it affects certain bat species more than others. Students will learn about the important...

    Keywords: ecologyconservationRStudiobatslogistic regressionGLMWildlife DiseaseWhite nose syndromelittle brown batsmyotis lucifugus

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    2011-Nguyen-Shi-Modeling the absorption circulation and metabolism of tirapazamine
    This apparently is a student project and it develops the kinetic model, uses Matlab for numerical solution, analytic solution and numerical solution.

    Keywords: absorptionMichaelis-MentenMetabolismdrug metabolismcirculation

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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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    2007-Helfgott-Seier-Some Mathematical and Statistical Aspects of Enzyme Kinetics
    We will analyze some basic ideas behind enzyme kinetics, which allow us to deal with separable and linear differential equations as well as realize the need to use power series.

    Keywords: kineticsEnzymeexperimental dataregresion

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    Climate Change Module (Project EDDIE) for Introductory Statistics
    Students practice and deepen their understanding of bivariate numerical data analysis (correlation, linear regression, etc.) through working with data related to climate change. Adapted from a...

    Keywords: statistics

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    Exploring global reef health and human population using correlation and simple linear regression
    In this lesson, students will explore the relationship between reef cover and human disturbance. Students will manipulate a large dataset and perform normality tests, data transformations,...

    Keywords: population dynamicshumanlinear regressionconservationcorrelationRestorationcoral reefs

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    Data from: Advancing population ecology with integral projection models: a practical guide
    Review important resources for building IPMs and provide a comprehensive guide, with extensive R code, for their construction.

    Keywords: IPMintegral projection modelsdemographyelasticitylife historymatrix projection modelpopulation growth ratepopulation projection modelsensitivitystage structurevital ratesResources @ DryadResources @ QUBES - Data

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    3-004-VanderPol-ModelingScenario
    This paper presents an electronic spreadsheet model of the Van der Pol oscillator, a well-known nonlinear second-order ordinary differential equation.

    Keywords: phase planeVan der Pol oscillatorlimit cycleRunge-Kutta methodLienard equation

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    1-078-MonodGrowthModel-ModelingScenario
    Students model growth of bacteria E. coli in a limiting nutrient environment using data from a historical study.

    Keywords: bacterianutrient cyclesgrowthMonodconsumption

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    1988-Michael Intriligator-Dagobert Brito-A Predator-Prey Model of Guerrilla Warfare
    The authors present a three variable: numbers of guerrillas, numbers of regular (government) soldiers, and size of population controlled by the guerrillas, at time t), nonlinear system of three...

    Keywords: combat modelguerrilla warfaregovernment

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    2-005-LinearizeItAll-TechniqueNarrative
    Linear approximations are often used to simplify nonlinear ordinary differential equations (ODEs) for ease in analysis. The resulting linear approximation produces an ODE where closed form...

    Keywords: computationerrorTorricelli's Lawdata fittinglinear approximation

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    Exploring the functionality of R
    Students work with example data to generate a length-weight plot and use lm() to obtain regression coefficients. Base plot functions are used to plot both the data and the regression line.
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    Using Images of Foraging Leaf-Cutter Ants to Teach Linear Regression
    This lesson offers students a realistic, open-inquiry research experience, even when lab or field research is not possible. We first introduce students to leaf-cutter ants and how they forage. Then...

    Keywords: linear regressionexperimental designPlant-insect interactionsSymbiosisForaging behavior

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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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    2017-Biswasa-EtAl-Mathematical Modeling Applied to Sustainable Management of Marine Resources
    We study a nonlinear mathematical model of fishery management to understand dynamics of a fishery resource system in an aquatic environment that consists of two zones; one free fishing zone and...

    Keywords: natural resourcesmarine resourcesfishery model

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