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    2017-Rosario-Antony-Mathematical Model for Future Population Scenario In India And China – An Econometric Approach
    A mathematical model including dynamical systems, statistical models and differential equations involves variety abstract structures. Population growth is one of the main issues in India and China...

    Keywords: logisticIndiavital coefficientsAsiaCarrying Vapacitiyannual growth rate

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    2004-Hill-Lozowski-Sampson-Experiments on ice spikes and a simple growth model
    We observed ice-spike growth using time-lapse digital photography, using two water types in two different containers.

    Keywords: iceice spikebulk heat transfermass conservation

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    2004-Mitchell-von Meien-Krieger-Dalsenter-A review of recent developments in modeling of microbial growth kinetics
    Mathematical models are important tools for optimizing the design and operation of solid-state fermentation (SSF) bioreactors. Such models must describe the kinetics of microbial growth.

    Keywords: Filamentous Fungisolid-state fermentationgrowth kineticsdiffusion-reactionoxygen transfer

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    Yeast Cell Growth
    Numbers Count resource using Excel for data analysis

    Keywords: data analysisExcelNumbers Count

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    2015-Erzo-Luttmer-Four Models of Knowledge Diffusion and Growth
    This paper describes how long-run growth emerges in four closely related models that combine individual discovery with some form of social learning.

    Keywords: knowledge diffusionstationary distributionsproductivity distributionreaction-diffusion equationsquasi-stationary distributions

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    2015-Beier-EtAl-Building Context with Tumor Growth Modeling Projects in Differential Equations
    Here we present two projects related to tumor growth appropriate for a first course in differential equations. They illustrate the use of problem-based learning to reinforce and extend course...

    Keywords: tummor growthresearch experience

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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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    1991-JR_Lobry-P_Flandois-Comparison of Monod's Growth Model Parameters from the Same Data Set
    The paper obtains the parameters in Monod's Growth model using a minimization of the sum of square errors with a given data set and obtains confidence intervals

    Keywords: Confidence intervalssum of square errorslinearizationgrowthModo Growth model

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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

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    Introduction to Growth Mindset
    This module introduces students to the research supporting ‘growth mindset,’ the idea that you can increase your brainpower and ability through effort

    Keywords: growth mindsetmetacognitionmath attitudesResources @ BIOMAAP

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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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    Introduction to Growth Mindset
    This module introduces students to the research supporting ‘growth mindset,’ the idea that you can increase your brainpower and ability through effort

    Keywords: growth mindsetmetacognitionmath attitudesResources @ BIOMAAP

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    Sample NetLogo Code of Bacterial Growth
    Each NetLogo file is a sequential version of the final bacterial growth model produced in the Bacterial Growth Tutorial. These are to be used as checks to one's understanding alongside the tutorial.
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    2001-A_Tsoularis-Analysis_of_logistic_growth_models
    The paper presents an historical development of the logistic equation in its various forms, including Verhulst, Pearl and Reed, Gompertz, Bertalanffy, Richards, and others.

    Keywords: logisticpopulationgrowth curvelimited growthGompertzhistorylogistic equationVerhulstPearl and ReedBertalanffyRichards

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    2013-Alicia_Caldwell-Students Rise to the Challenge of Modeling Yeast Growth Despite Sour Hiccups from Imperfect Data
    This paper describes a lab in which students in an Applied Mathematics in Biology course observe the growth of Saccharomyces cerevisiae, a yeast strain, in differing sugar concentrations for use in...

    Keywords: Saccharomyces cerevisiaelogisticyeastdeathgrowthsugaralcohol

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    2001-Tsoularis-Analysis of logistic growth models
    variety of growth curves have been developed to model both unpredated, intraspecific population dynamics and more general biological growth. We further review and compare several such...

    Keywords: logisticGompertzVerhulstPearl and ReedBertalanffy

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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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    Adapted Value of Mistakes
    This module is adapted from BIOMAAP materials on the value of mistakes and application of growth mindset in a microbiology lab.

    Keywords: growth mindsetmath attitudesResources @ BIOMAAPmistakesvalue of mistakes

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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

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    2011-Brian_Winkel-Parameter_Estimates_in_Differential_Equation_Models_for_Population_Growth
    We estimate the parameters present in several differential equation models of population growth, specifically single species exponential and logistic growth, and multiple species competition and...

    Keywords: population modelparameter estimationpopulationparameter

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