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    1-089-SpreadOfDisease-ModelingScenario
    In this project I want to use the algebra based concept “difference quotient” to solve differential equations models with the help of Excel. That means even students with only a College Algebra...

    Keywords: SIR modelProportionderivativedifference quotientSleeping Beautycontagious disease

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    3-013-WhiffleBallFall-ModelingScenario
    We are given data on the time and position of a whiffle ball as it falls to the ground. We attempt to model the falling ball and we confront the different resistance terms and models.

    Keywords: Akaike Information CriterionresistancegravityFree Body Diagramforcefalling objectWhiffle ball

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    4-020-AnIEDBlast-ModelingScenario
    These three exercises offer students a chance to model with second order ordinary differential equations, how they might incorporate a spring-mass system into a larger model, and how they can use...

    Keywords: applied mathematicsforcesFree Body DiagramImprovised Explosive Devicessum of forces

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    Mystery box puzzle for model based reasoning
    This is a computer based problem solving activity that I use to engage introductory biology students with discussions about model based reasoning.

    Keywords: Model Based ReasoningScientific reasoningpuzzle

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    Ciliate Genomics Consortium: a professional learning community sharing modular curricula to support undergraduate research in the classroom
    The Ciliate Genomics Consortium (CGC) employs an integrative teaching and research model that combines both inquiry-driven class laboratory activities and collaborative consortium pedagogies to...
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    Interspecific Competition: the Lotka-Volterra Model
    This module introduces the Lotka-Volterra Model in the context of understanding interspecific competition. It is intended for an introductory biology audience.

    Keywords: differential equationsecologyLotka-Volterrainterspecific interactionsstate-space graphs

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    ODD Description of the BEFORE Beech Forest Model
    This is a supplemental resource from ABM

    Keywords: case studytextbookNetLogoagent-based modelingODD protocol

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    The Stomata Lab. What the past can tell us about our future - using fossil and modern plants to model atmospheric carbon dioxide
    Students will develop a mathematical model of the relationship between atmospheric CO2 and the number of stomata on a leaf (Stomata Index). They will evaluate the model graphically, statistically,...

    Keywords: introductory biologyQuantitative reasoninginterdisciplinaryclimate changeregressionEcology and EvolutionStomataNIQBC2. Data and GraphsC4. mathematical modelsC3. Statistical AnalysisSmithsonian

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    2017-Sim-EtAl-Optimal control of a coupled tanks system with model-reality differences
    In this paper, an efficient computational approach is proposed to optimize and control a coupled tanks system.

    Keywords: optimal controlflowtankscoupled tanks

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    2015-Wrona-EtAl-Two-compartment model as a teaching tool for cholesterol homeostasis
    To investigate cholesterol transport in the circulatory system, we have previously developed a two-compartment mathematical model. Here, we show how this model can be used as a teaching tool for...

    Keywords: metabolic syndromecholesterolhigh blood cholesterolcholesterol homeostasis

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    2009-Munz-EtAl-When Zombies Attack-Mathematical modelling of an Outbreak of Zombie Infection
    We introduce a basic model for zombie infection, determine equilibria and their stability, and illustrate the outcome with numerical solutions.

    Keywords: zombiesinfectionepidemicwater treatmentlatent infectionquarantineimpulsive eradication

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    2006-Juska-Gedminiene-Ivanec-Growth of Microbial Populations-Mathematical Modeling-Laboratory Exercises-Model-Based Data Analysis
    The aim is to teach the students to use a fresh approach to the problems they are familiar with, to come up with an articulate verbal model after a mental effort, to express it in rigorous...

    Keywords: population growth ratelogistic equationVerhulst equationgeneration timelag time

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    1984-W_Brunner-D__Focht-Deterministic Three-Half-Order Kinetic Model for Microbial Degradation
    The kinetics of mineralization of carbonaceous substrates has been explained by a deterministic model which is applicable to either growth or nongrowth conditions in soil.

    Keywords: kineticsnonlinear regressionsum of square errorsMonodlinearizemineralizationsubstratescarbonaceous

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    1-092-DashItAll-ModelingSenario
    This project uses very basic physics, Newton's Second Law of Motion, to model the motion of a sprinter running down a track. We derive the classic Hill-Keller model for a sprinter exerting...

    Keywords: datarunningsprintHill-Kellerworld recordOlympics

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    An introduction to population matrix models: a swirl lesson
    Students will learn how to set up a population matrix model in R and use it for demographic analysis of a population, including projecting population growth, determining lambda and the stable age...

    Keywords: population dynamicsRpopulation growthonlinedemographypopulation projection modelquantitative biologypopulation modelmatrix modelspopulation ecologyage structurepopulation biologypopulation modelingSwirlDemographic processespopulationLeslie matrix

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    2011-Cruz-Aponte-Herrera-Valdez-Mitigating effects of vaccination on influenza outbreaks given constraints in stockpile size and daily administrati
    We present a SIR-like model that explicitly takes into account vaccine supply and the number of vaccines administered per day and places data-informed limits on these parameters.

    Keywords: vaccinationinfectionSIRepidemic

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    3-100-Ripcord-Toys-ModelingScenario
    This modeling scenario examines the motion of a ripcord-powered toy with the goal of using real data to estimate parameters in a first-order model of the velocity of the toy. Students may conduct...

    Keywords: dataphysicsdynamicsdata collectionrollingslippingripcordtoy

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    2003-Fay-Graham-Coupled spring equations
    Coupled spring equations for modelling the motion of two springs with weights attached, hung in series from the ceiling are described.

    Keywords: spring massoscillationHooke's Lawcoupled springsperiodicforcing functionphase portrait

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    2003-Fay-Graham-Coupled spring equations
    Coupled spring equations for modelling the motion of two springs with weights attached, hung in series from the ceiling are described.

    Keywords: massoscillationspring\coupled springsperiodicfporcing

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    2012-Greer-Palin-Students in Differential Equations and Epidemiology Model a Campus Outbreak of pH1N1
    We describe a semester-long collaboration between a mathematics class and a biology class. Students worked together to understand and model the trajectory of the pandemic H1N1, pH1N1, outbreak...

    Keywords: H1N1pandemicspreadoutbreakpH1N1

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