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    1-170-CensusModeling-ModelingScenario
    Students who have studied models for population are likely to be familiar with the exponential and the logistic population models. The goal here is to explore the role of modeling assumptions in...

    Keywords: logistic growthexponentialpopulationU.S. Census DataassumptionGoogle SheetsUnites StatesGuatemala

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    10-100-InsectOutbreaks-ModelingScenario
    We use a system of difference equations that incorporates a temperature-dependent MPB population growth rate to model the outbreak and recovery cycle in mountain pine beetle-infested forests.

    Keywords: ecologyclimate changeinsectinsect outbreaksinsect outbreaksolitary wave

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    1-107-ClothDry-ModelingScenario
    We build a mathematical model for the rate of drying in a wet cloth while hanging in air. A model can be based on underlying physical principles (analytic) or based on observations and reasoned...

    Keywords: dryingclothevaporation

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    2012-Augustus-Wali-Mathematical Modeling of Uganda Population Growth
    The purpose of this paper focuses on the application of logistic equation to model the population growth of Uganda using data from 1980 to 2010 (inclusive).

    Keywords: population growthlogistic growthDrug and Alcohol detoxificationcarrying capacityvital coefficients

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    1972-Suresh_Sethi-Optimal Control of the Vidale-Wolfe Advertising Model
    This paper considers an optimal-control problem for the dynamics of the Vidale-Wolfe advertising model, the optimal control being the rate of advertising expenditure to achieve a terminal market...

    Keywords: Optimal Control Theoryadvertisingsales

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    1-052-SaltWaterTanks-ModelingScenario
    We offer three mixing problems, of increasing order of difficulty, in which salt is coming into a tank of water and upon instantaneous mixing is leaving the tank.

    Keywords: salttankmixing

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    1-160-HeartDeathRate-ModelingScenario
    Students simulate experience from a given data set which represents the heart death rate during the period 2000 - 2010 using several approaches to include exponential decay, difference equation,...

    Keywords: dataheart death rate

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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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    Leslie/Lefkovitch Matrix Models for Age or Stage-structured Populations
    This Excel workbook uses the Leslie matrix model for population projection of age-class structured populations, and also allows Lefkovitch matrix models for stage-class structured populations.

    Keywords: survivalpopulation ecologyfecundityLeslie matrixeigenvalueseigenvectorsLefkovitch matrixage-class structured populationsstage-class structured populationsreproductive value

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    Developmental Allometry: Scaling in Growth
    This Excel workbook illustrates a number of allometric equations in animal growth. The workbook also calculates an allometric equation with graphical output for data entered by the user.

    Keywords: allometrybrain developmentSkeletal Systemmetabolic rate

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    2013-Murray_Bourne-Modeling fish stocks
    It is possible to have a sustainable fishing industry with proper planning and strictly enforced quotas.

    Keywords: logisticFishingfishing industryfish managementfood availabilityreeding ratewater temperature

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    2012-Lensyl-Urbano-The Draining of a Plastic Bottle-Integrating a Physics Experiment into Calculus
    I punched a small hole (about 1mm radius) in a one gallon plastic bottle and had my students measure the rate at which water drained.

    Keywords: in-class activityexperimentTorricelli's Lawcylinder of waterexpderiment

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    2008-Yang-EtAl-Differential Equation Model of HIV Infection of CD T-Cells with Delay 
    Abstract: An epidemic model of HIV infection of CD4+ T-cells with cure rate and delay is studied. We include a baseline ODE version of the model, and a differential-delay model with a discrete time...

    Keywords: virusT cellsHopf bifurcationendemic equilibrium

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    Implicit Bias in Data Visualization (BIOME 2022 presentation)
    We want to build cooperative spaces where students can improve the quality of their work in iterative ways. However, are we sure that students will rate each other in unbiased ways. We will take...
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    1-058-WaterClocks-ModelingScenario
    We apply Torricelli's Law to the task of building a water clock in which the height of the water in a container falls at a constant rate when the container has a hole in the bottom to let the...

    Keywords: flowTorricelli's Lawspigotswater clock

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    1-090-EmptySphericalTank-ModelingScenario
    We model the emptying of water from a spherical tank. First, we pump out water at a constant rate. Second, we allow the water to exit through a small hole in the bottom of the tank. We seek to...

    Keywords: VolumesphereTorricelli's Lawtimingspherical tankfluidempty

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    1-122-SpreadPEV-ModelingScenario
    We present data on world sales data of plug-in electric vehicles (PEVs) and request a model on the rate of change in sales over time, leading to prediction as to number of PEVs in the future.

    Keywords: datalogisticpredictionspreadplug-in vehiclePEV

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    1-130-AspirinAbsorption-ModelingScenario
    We model the amount of aspirin absorbed by the human body at a constant rate. This is a ``zero-order reaction'' in the language of pharmacokinetics -- the study of how drugs move in the body.

    Keywords: pharmacokineticsdrugaspirin

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    6-010-SocialCampaign-ModelingScenario
    The epidemic modeling problem is formulated as a system of three nonlinear, first order differential equations in which three compartments (S, I, and R) of the population are linked.

    Keywords: diseasegrowth rateJudgment and Decision MakingSIR modelinfections diseasesocial campaignrecovery ratedelay timejoining processquitting processexponential distribution

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    Doubling Time of Tumors
    This module introduces the calculation of potential doubling time of tumorous cells in the context of understanding the growth of a population of the cells. It is intended for an introductory...

    Keywords: linear regressionRatiosCell StructureOpenStaxCell Growth

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