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    2007-I-Liang_Chern-Mathematical Modeling and Differential Equations
    In this course, I will mainly focus on, but not limited to, two important classes of mathematical models by ordinary differential equations: • population dynamics in biology • dynamics in...

    Keywords: population dynamicsecologydynamicsclassical mechanicschemical reaction

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    2012-Ogunrinde-Sunday-On some models based on second order differential equation
    This paper presents some models based on second order differential equations. Such models include interaction between different kinds of species in an environment and pricing policy for optimum...

    Keywords: species interactionpricing policyoptimal inventory

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    2012-Vivek_Patel-Chemical Kinetics
    The book is designed to help the reader, particularly students, researchers, research scholars, scientists, chemists and industry fraternity of chemistry and allied fields; understand the mechanics...

    Keywords: kineticschemistryreaction

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    2010-Roberto_Munoz-Alicea-Mathematical Model for Enzyme Kinetics-Multiple Timescales Analysis
    We study a basic model for enzyme substrate reaction. Through several assumptions and via nondimensionalization, we simplify the equations.

    Keywords: kineticsEnzymesubstratenondimensionalizationmultiple timescales

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    The Three Sisters of Agriculture: An Active Learning Activity on Symbiotic Nitrogen Fixation
    This active learning exercise introduces students to the plant microbiome and the contributions that bacteria make to plant growth and food production. The Three Sisters are an ancient indigenous...

    Keywords: SymbiosisPlant microbiomeNitrogen fixationNutritional content of foodElectron flowSociety impact of microorganisms

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    The Avocado Lab: An Inquiry-Driven Exploration of an Enzymatic Browning Reaction
    Typical biochemistry labs exploring basic enzyme activity rely on costly, time-consuming protein purification and rarely explore enzyme function in situ. Further, complex purification procedures...

    Keywords: enzymescontrolsenzyme inhibition

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    A How to Guide and Template for Designing a Puzzle Based Escape Room Game
    Educational games are one active and effective way of engaging students with material while also providing additional motivation to tackle challenging concepts. A particularly popular game concept...

    Keywords: Problem SolvingCollaborative WorkCorrect Misconceptions

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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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    Investigating Gene Expression and Cell Specialization in Axolotl Embryos
    The process of cell specialization is critical to the formation and function of tissues in animals and plants. Although gene expression, including the regulation of transcription, is taught in most...

    Keywords: developmenttranscriptiongene expressionmodel organismembryo

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    2000-Erdman-Morelock-A Study of Kinetics The Estimation and Simulation of Systems of First-Order Differential Equations
    This paper introduces new and old features of the SAS System for the estimation and simulation of systems of first-order differential equations with emphasis on examples in kinetics.

    Keywords: kineticsSAScompartmentpharmacokinetics

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    From Dirt to Streptomyces DNA
    The purpose of this semester-long Lesson is to give students an authentic, course-based undergraduate research experience during which they learn basic and advanced microbiological and molecular...

    Keywords: MetabolismAntibiotic productionrRNA genesSecondary metabolitesStreptomyces

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    Using Synthetic Biology and pClone Red for Authentic Research on Promoter Function: Genetics (analyzing mutant promoters)
    Students often memorize the definition of a transcriptional promoter but fail to fully understand the critical role promoters play in gene expression.  This laboratory lesson allows students...

    Keywords: bacteriasynthetic biologygene regulationtranscriptionstudent researchcentral dogmacloningpromoterreporter gene/protein

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    A Structured Inquiry-Based Module for the Undergraduate Cell Biology Laboratory That Teaches Fundamental Concepts of Cell Differentiation
    Pedagogical research in science education has shown that students effectively learn science by doing science. As a result, there is increased interest in bringing research-like experiences into the...

    Keywords: fluorescence microscopygene expressionpolymerase chain reactionCell Structurecell culturewestern blottingdifferentiationreverse transcription

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    A Kinesthetic Modeling Activity to Teach PCR Fundamentals
    Most molecular biology and biological sciences students understand that the polymerase chain reaction (PCR) is used to amplify DNA. However, we have found that some students experience conceptual...

    Keywords: PCR

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    2016-Starling-EtAl-Local Brewery - A Project for Use in Differential Equations Courses
    We describe a modeling project designed for an ordinary differential equations (ODEs) course using first-order and systems of first-order differential equations to model the fermentation process in...

    Keywords: BEERFermentationbrewery

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    2012-Brian_Ingalls-Mathematical Modelling in Systems Biology An Introduction
    This is a comprehensive text with much biology background to motivate the mathematical modeling, exercises and answers, and many rich examples.

    Keywords: spatialsensitivity analysisgene regulatory networksstochasticbifurcationmetabolic networkselectrophysiologytransductionrate lawsbiochemical reactions

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    2018-W_Hohenauer-Physical modelling based on first order ODEs
    An introduction in techniques to solve first order ODE´s is given. Barometric formula, charging and discharging of a capacitor including its application for AMV, magnetic induction and growth...

    Keywords: dischargecapacitormagnetic fieldinductionmagnetic induction

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    Science Behind the Lesson: It's a Bird! It's a Plane! It's Biomechanics!
    Active flight is a specialized mode of movement found in insects, birds, and mammals. The anatomy, morphology, physiology, and ecology of flying taxa has changed over evolutionary time. Researchers...

    Keywords: EvolutionecologybatphysiologyAnatomybiomechanicsbirdFlightinsect

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    2004-Mark_McCartney-Using_second-order_ordinary_differential_equations_to_model_traffic_flow
    A simple mathematical model for how vehicles follow each other along a stretch of road is presented. The resulting linear second-order differential equation with constant coefficients is...

    Keywords: differential equationstraffic flowvehicle followsecond order

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    2021-G_Nagy-Ordinary_Differential_Equations
    This is an introduction to ordinary differential equations. We describe the main ideas to solve certain differential equations, like first order scalar equations, second order linear equations, and...

    Keywords: differential equationstextbook

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