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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

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    2022-Kalman-Improved Approaches Discrete Continuous Logistic Equation
    In the precalculus curriculum, logistic growth generally appears in either a discrete or continuous setting. These actually feature distinct versions of logistic growth, and textbooks rarely...

    Keywords: logisticcontinuousSpreadsheetPrecalculusdiscrete

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    1-118-SolowEconomicGrowth-ModelingScenario
    Students construct and analyze the celebrated Solow-Swan model of economic growth theory. The project is divided into three sequential parts to teach students to understand, develop, and analyze a...

    Keywords: optimizationeconomicssteady stategrowthSolow-Swan modelcapitalproductionlaborGolden Rule of Economic Growth

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    Connecting Viral Pandemics to Ecological Population Growth Models
    In this activity students use the HHMI Population Growth Models interactive to explore R0 for diseases and discuss the importance of connecting population ecology to current events like the...
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    Mitotic Index and Cell Division
    This module introduces the mitotic index in the context of understanding the dynamics of cell division in the root of a plant. It is intended for an introductory biology audience.

    Keywords: RatiosCell StructureCell GrowthchartCell DivisionMitotic Index

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    Phototropism and Gravitropism: Quantifying Stem Curvature in Plants Introduction
    This module introduces phototropism and gravitropism in the context of understanding how to quantify stem curvature of plants. It is intended for an introductory biology audience.

    Keywords: plant physiologyGeometryTrigonometry

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    Teaching logistic population growth and ecological modelling
    The lesson is designed to 1) teach students about the concept of logistic population growth, growth rates, and carrying capacity and 2) provide a basic introduction to ecological modeling and...
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    Essay to students about the fallacy of fixed math ability
    Essay written in 2014 for freshmen in an intro bio course on the fallacy of fixed math ability

    Keywords: modulefixed mindsetgrowth mindsetinnate math abilitymath phobia

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    A Direct Experience Study of Density-Dependent Growth
    An experiential approach to density-dependent growth using a checkerboard, 6-sided die, and two types of markers.

    Keywords: logistic growthdensity dependenceexperiential

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    2012-José_Sérgio_Domingues-Gompertz Model - Resolution and Analysis for Tumors
    The main objective of this paper is to use the Gompertz equation in order to study the development of blood irrigated solid tumors, using parameters defined in some important bibliographic...

    Keywords: tumorGompertz equationgrowth tumor

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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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    STEM Inclusive Teaching Practices Webinar Series: Fixed vs Growth Mindset and Why the Biggest Challenge May be Faculty (Episode Seven)
    This webinar will explore how faculty can teach with a growth mindset and identify some potential areas of fixed mindset that might prove to be obstacles for many students.

    Keywords: growth mindsetfaculty developmentDiversity and Inclusionfaculty mindset

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    Assessing in vivo Antimicrobial Activity Through the Analysis of Galleria mellonella Kaplan-Meier Plots
    Antimicrobials and their use in the treatment of bacterial infections are a fundamental lesson in all microbiology courses. Typically, cultivation-based methods are used to teach students about...

    Keywords: Antimicrobial TestingAntimicrobialsInvertebrate animal models

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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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    Using Place-Based Economically Relevant Organisms to Improve Student Understanding of the Roles of Carbon Dioxide, Sunlight, and Nutrients in Photosynthetic Organisms
    Biology students require broad preparation for diverse careers including agriculture, natural resource management, and laboratory research. Concurrent with this need, employers are seeking...

    Keywords: energyphotosynthesisbiomass

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    2018-Banerjee-EtAl-Prey-Predator Model with a Nonlocal Bistable Dynamics of Prey
    The primary goal of our present work is to consider nonlocal consumption of resources in a spatiotemporal prey-predator model with bistable reaction kinetics for prey growth in the absence of...

    Keywords: predator-preynonlocal consumptionTuring bifurcationspatial Hopf bifurcationspatio-temporal patternprey growth

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    2013-Fathalla_Rihan-Delay Differential Equations in Biosciences - Parameter estimation and sensitivity analysis
    This is a review article to show that delay differential models have a richer mathematical framework (compared with models without memory or after-effects) and a better consistency with biological...

    Keywords: epidemiologysensitivityImmunologyphysiologyRK-methodstime-lags

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    2006-Graves-Peckham-Pastor-2D differential equations model for mutualism
    We develop from basic principles a two-species differential equations model which exhibits mutualistic population interactions.

    Keywords: population dynamicsLotka-Volterragrowth ratemutualismLichen

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    2019-Ekici_Plyley. Inquiry-Based_Modeling_of_Population_Dynamics_With_Logistic_Differential_and_Difference_Equations
    Inquiry-based learning activities on modeling and controlling the growth of locally relevant species, such as lionfish or sea turtles, are developed by the authors.

    Keywords: population dynamicslogisticInquiry-based modelingIBL

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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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