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    1-102C-CancerGrowth-ModelingScenario
    This module guides students in the use of differential equation models to predict cancer growth and study treatment outcomes. Several classical models for cancer growth are presented including...

    Keywords: optimizationcancerlogisticexponentialpredictiontumorgrowthdata fittingpower lawBertanffyGompertz

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    1-002-Tossing-ModelingScenario
    We offer students simulation experience or data from a simulation and ask them to model the simulation using several approaches, to include exponential decay fit, difference equation, and...

    Keywords: Modeling and simulationexponentialdecaydice

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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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    Case Study — World records as measures of senescence or randomness
    This is a project meant to accompany the Case Study that Carl Bergstrom, which uses R to explore whether declining track and field world record performance could be an artifact of sample size (less...

    Keywords: RRStudioprogrammingsampling distributionProbability & Statisticsrandomnesscontinuous probability distribution

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    Infectious Chocolate Joy with a Side of Poissonian Statistics: An activity connecting life science students with subtle physics concepts
    Lesson on what it means for biological processes to be Poissonian, published in CourseSource

    Keywords: quantitative biologybioinformaticsmicrobiologyphysicsNIBLSEHIVCourseSourcemultiplicity of infectionPoisson Distribution

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    DNA Barcoding & Biodiversity databases
    This resource pairs DNA barcoding databases with Biodiversity databases. Students collect their insect specimens in the field and use BLAST and BOLD to identify their species. They then use...
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    2011-Carl_Leinbach-Beyond_Newton_law_of_cooling_estimation_of_time_since_death
    The estimate of the time since death. Thus, the time of death is strictly that, an estimate. However, the time of death can be an important piece of information in some coroner’s cases, especially...

    Keywords: Newton's Law of Coolingtime of deathdouble exponentialcoroner

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    Does Urbanization Favor Exotic Species?
    In this lesson, students will learn about the exotic European honeybee (Apis mellifera), and why they are considered an important pollinator. They will be prompted to think about the impacts of...

    Keywords: RStudiogeneral linear modelsAICurbanizationPoisson Distributionnative speciesHoneybeeexotic species

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    2006-Han-EtAl-Ordinary differential equation models for ethanol pharmacokinetic based on anatomy and physiology
    Physiologically-based pharmacokinetic (PBPK) models have been used to describe the distribution and elimination characteristics of intravenous ethanol administration.

    Keywords: liverwortsintraveneouspharmacokineticsethanolethanol infustionpharmacodynamictissue model

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    1971-Carl_Metzler-Usefulness Of Two Compartment Open Model In Pharmacokinetics
    Compartment models are widely used in pharmaceutical research to quantitate the kinetics of absorption, distribution, metabolism and excretion of a drug. In this article two applications of the two...

    Keywords: LSDcompartmentpharmacokinetics

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    Table Top Orientation to the Galapagos Islands and Finches
    The Galapagos Finches are one of the most widely recognized examples of evolutionary biology research. This paper and pencil activity provides access to a variety of data resources that can be used...

    Keywords: EvolutionecologyGalapagosdata on darwins finches

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    The Importance of Street Trees and Urban Avifauna: A lesson exploring the relationship between urban forest and foraging birds
    This module examines the relationship between street trees, urban avifauna, and socioeconomic gradients in the highly urbanized county of Los Angeles, California. Using edited data from a published...

    Keywords: conservationBiodiversityurbanizationGeneralized linear modelsavifaunaurban forestsocioeconomicsstreet treesnegative binomial regression

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    1-108-PoissonProcess-ModelingScenario
    In this project students learn to derive the probability density function (pdf) of the Poisson distribution and the cumulative distribution (cdf) of the waiting time. They will use them to solve...

    Keywords: Probabilitysstochastic processesPoisson processwaiting timearrival

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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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    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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    Data-Driven Decision-Making: Antarctic Fisheries
    This is an entire module for a general education data science and ecology course. The module was originally designed as the fourth and final section of the course; the full course is openly...

    Keywords: population growthRStudiodata visualizationexponential growthlogistic growthR Markdownspatial dataocean sustainability4DEE FrameworkTraditional ecological knowledgecarrying capacityEcosystem Servicesmaximum sustainable yield

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    2007-Hui_Luo-Population Modeling by Differential Equations
    A general model for the population of Tibetan antelope is constructed. The present model shows that the given data is reasonably logistic.

    Keywords: population dynamicsextinctionlogisticTibetan antelope

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    2000-Dwayne-Anderson-Estimates of the future membership of the Church of Jesus Christ of Latter-Day Saints
    Thus, the purpose of this paper is to model the membership of the Church of the Latter Day Saints from the available data on membership from 1844 to 2000.

    Keywords: population dynamicslogisticLatter-Day Saints

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    5-012-LinearSystemConjecture-TechniqueNarrative
    Students go from the solution for y'(t) = k*y(t) to a natural extension to the solution conjecture of a system of two constant coefficient, homogeneous, linear differential equations introducing...

    Keywords: discovery learningconjecturesolutionsubstitution

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    1-087-ThanosPopulationDynamics-ModelingScenario
    In the end of the “Avengers Infinity War,” the villain Thanos snaps his fingers and turns half of all living creatures to dust with the hope of restoring balance to the natural world. How does this...

    Keywords: logisticexponentialpopulationThanos

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