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    2013-Michael-Evans-Growth and Decay
    Sometimes, we can describe processes of growth and decay—whether physical, chemical, biological or sociological—by mathematical models.

    Keywords: exponential growthexponential decayisotopespopulationsresource depletion

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    Fitting Exponential and Logistic Growth Models to Bacterial Cell Count Data
    In this activity, students will model a noisy set of bacterial cell count data using both exponential and logistic growth models. For each model the students will plot the data (or a linear...

    Keywords: modelingdata analysislinear regressiongraphingExponentsoptimizationcalculusInterpreting GraphsFunctionsqbccCellular and Molecular BiologyChoosing modelsUnderstanding ratesConcepts in Statisticsmeasurementsmanipulating equationscreating graphsExponential and Logarithmic Functionsinterpreting tables

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    1-066-USCensusModeling-ModelingScenario
    The United States Census, conducted every 10 years, gives data on the United States population, that can be modeled with the exponential, logistic, or Gompertz functions.

    Keywords: datalogisticpopulationGompertzcensusgoodness of fit

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    1-143-PopulationModelVariationsMATLAB-ModelingScenario
    Students will walk through a detailed derivation and review of basic population models (exponential and logistic) to create and understand variations of those models.

    Keywords: population dynamicsecologylogistic growthbifurcation theoryslope fieldsextinctionharvestingqualitative analysisstocking

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    Uninhibited Growth of Cells
    In this activity, students will explore the concept of binary fission, generation time, and bacterial growth curves, with an emphasis on the log phase. Students will use semi-log graphs and linear...

    Keywords: graphingexponential growthMicrobiology Educationmicrobiologybacteriagrowth rateUndergraduate STEM educationCommunity College Educationqbccmanipulate equationsCellular and Molecular BiologyCreate graphsInterpret graphsbinary fissionsemi-log graphlinear graphgrowth curvecreating graphsExponential and Logarithmic Functions

    912

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    Island Biogeography
    This Excel workbook demonstrates the principles of the MacArthur-Wilson theory of Island Biogeography. It allows the user to define the mainland species pool, area of the island, and distance of...

    Keywords: Logarithmsspecies richnessIsland biogeographyExponential FunctionsMacArthur-Wilson Theorypower functions

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    Graphing bacterial growth rates: semi-log graphs v linear graphs
    In this activity, students will explore the concept of binary fission, generation time, and bacterial growth curves, with an emphasis on the log phase. Students will use semi-log graphs and linear...

    Keywords: graphingexponential growthMicrobiology Educationmicrobiologybacteriagrowth rateUndergraduate STEM educationCommunity College Educationqbccmanipulate equationsCellular and Molecular BiologyCreate graphsInterpret graphsbinary fissionsemi-log graphlinear graphgrowth curvecreating graphsExponential and Logarithmic Functions

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    4-065-GasInjection-ModelingScenario
    Students use programs (or create their own code) based on exponential box-scheme approximations for solving systems of nonlinear differential equations that contain small parameters for the highest...

    Keywords: Prandtl-Blasius equationsboundary layergas injectionesponential box schemeuniform convergenceFORTRAN

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    RAT ATTACK! Population growth
    This module contains exercises focused on the use and interpretation of density independent and density dependent population growth models. Students build logistic and exponential growth models in...

    Keywords: modelingecologyExcelintroductory biologygraphingQuantitative reasoningdata visualizationinterdisciplinaryexponential growthlogistic growthdata managementInterpreting Graphspopulation modelingNIQBC2. Data and GraphsC4. mathematical modelsnonlinear models

    668

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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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    Continuous Growth Models
    This Excel worksheet compares user-input growth data with predictions under linear, exponential, and logistic models of growth. Introduces concepts of statistical analysis that can be additionally...

    Keywords: exponential growthlogistic growthcurve fittinglinear growthgrowth models

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    Half Life of mRNA
    This module introduces exponential growth and decay in the context of understanding the stability of mRNA. It is intended for an introductory biology audience.

    Keywords: exponential equationsGenetic Informationlogarithmic equationshalf-lifemRNA

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    Nucleo-cytoplasmic Transport
    This module introduces exponential decay and the rate of influx in the context of understanding the transport of molecules from the cytoplasm to the nucleus. It is intended for an introductory...

    Keywords: exponential equationsCell StructureCell Growth

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    154

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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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    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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    Human population growth case study
    A case study on human population growth that includes Human-Environment Interactions (HEI) from the Ecological Society of America's 4 dimensional ecology teaching framework. Meant to be used in...

    Keywords: exponential growthlogistic growthhuman-environmental interactions

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    1-104A-T-InfectionRisk-ModelingScenario
    This project is designed to examine differences between the exponential and logistic growth models in biology and how to apply these models in solving epidemic questions and comparing to actual...

    Keywords: regressioninfectionCOVID19carrying capacitylogistic equationexponential model

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    2011-Kurt_Kreith-The Mathematics of Global Change
    The authors discuss broad issues and then focus on specifics like exponential growth, logistic growth, and the logistic equation with delay.

    Keywords: exponential growthlogistic growth

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    2010-Singh-Mishra-athematical modeling approach to study growth rate of grassroots technological innovations
    In this paper we have proposed a simple mathematical model by using ordinary differential equation to know the spread rate of technological innovations in rural India.

    Keywords: logisticexponentialsigmoidtechnological innovationsasymptoticspread of innovation

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    2015-Brian_Winkel-Informed_Conjecturing_of_Solutions_for_Differential_Equations_In_a_Modeling_Contex
    We examine (1) first order exponential growth or decay and (2) second order, linear, constant coefficient differential equations, and show the advantage of learning differential equations in a...

    Keywords: exponential growthsolutionslinear systemsdecayconjecture

    158

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