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    2008-Brewer-EtAl-Fitting ordinary differential equations to short time course data
    In this paper, we present a survey of existing algorithms and describe the main approaches. We also introduce and evaluate a new efficient technique for estimating ODEs linear in parameters...

    Keywords: time seriesEvaluation SPLINEgeneleast squaresbifurcation

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    Integrating the modeling of biogeochemical cycles and energy flow
    This in-class activity challenges students to create and then integrate models of how carbon, nitrogen, water and energy all move within an ecosystem. Using 15 provided standard pools, they work...

    Keywords: modelingecologyintegration4DEE FrameworkBiogeochemical cycles

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    1981-Geoffrey_Berresford-Differential Equations and Root Cellars
    This is a classic module from UMAP in which the heat equation in one dimension is fully developed by using the standard technique of measuring the heat flow in and out of a small element of mass...

    Keywords: temperaturethermal conductivityheat flowthermal diffusivityroot cellar

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    1975-Rodda-Sampson-Smith-The One-Compartment Open Model Parameter Estimation
    A new estimation procedure is proposed for estimating the parameters of the simplest pharmacokinetic model, the one-compartment open model.

    Keywords: compartment modelpharmacokineticsnonlinear estimationone compartment model

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    Box of Lessons: A Toolkit for Introducing Students to Biomolecular Structure and Function
    This is a poster describing a collection of open educational resources that were developed by faculty participating in the Molecular CaseNet Faculty Mentoring Network in Spring 2022. The collection...

    Keywords: bioinformaticsbiomolecular structureProtein Data Bankresources @ Molecular CaseNet

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    Waking up Anna - Adaptations and Conversion to Mol*
    This case focuses on understanding the molecular basis of Anna's sleeping disorder and its treatment. The adaptations addressed question clarity and reformatting to use Mol*.

    Keywords: sleepmolecular visualization and analysisPDBMolecular Case StudyGABAMolCaseNetMol*MolStarProtein visualizationFlumazenil

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    The Happy Blue Baby Hemoglobin
    This case, about a specific mutant of hemoglobin, focuses on visualizing and understanding the molecular basis of why an infant turned blue soon after birth and how the cyanosis resolved.

    Keywords: mutationHemoglobinmolecular visualization and analysisPDBMolecular Case Study

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    Exploring the Complexities of Photosynthesis Through a Comic Strip
    Photosynthesis is a conceptually challenging topic. The small scale at which photosynthesis takes place makes it difficult for students to visualize what is occurring, and students are often...

    Keywords: photosynthesislight-dependent reactionsCalvin cyclechloroplast

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    A Short Laboratory Module to Help Infuse Metacognition during an Introductory Course-based Research Experience
    A core competency identified in Vision and Change for undergraduate biology students is the Ability to Apply the Process of Science. Here, we describe a three-week laboratory module for students in...

    Keywords: metacognitiongene expressionScientific ProcessExperimenal DesignHypothesis Generationmodel organisms

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    BioMolViz - Development of an Inclusive Community for the Instruction of Visualizing Biomolecules (RCN-Introduction)
    BioMolViz is a community dedicated to advancing biomolecular visualization education. We provide training, teaching tools and validated visual literacy assessments. The BioMolViz Library—our online...

    Keywords: RCN-UBE Introduction

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    1-061-SingularPerturbation-TechniqueNarrative
    This paper introduces the basics of singular perturbation methods for solving ordinary differential equations. Interactive examples will show how the smallness of physical parameters can...

    Keywords: perturbationsingular perturbation

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    1-060-RegularPerturbation-TechniqueNarrative
    This paper presents an introduction to a set of analytical approximations referred to as regular perturbation. This is a particular mathematical tool within the broader set of perturbation...

    Keywords: perturbationregular perturbationasymptotic expansionsanalytical approximationBernoulli equation

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    1-015-DimensionlessVariables-TechniqueNarrative
    This material introduces the idea of ``rescaling'' for ordinary differential equations (ODE's) by the use of dimensionless variables. In practice this is an extremely common and useful prelude to...

    Keywords: linearizationdimensional analysistime scalescalingdimensionless variablesspatial scale

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    2012-Lensyl-Urbano-The Draining of a Plastic Bottle-Integrating a Physics Experiment into Calculus
    I punched a small hole (about 1mm radius) in a one gallon plastic bottle and had my students measure the rate at which water drained.

    Keywords: in-class activityexperimentTorricelli's Lawcylinder of waterexpderiment

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    2005-Saifullah-Mathematical Modeling With Differential Equations
    This article aims to provide the students some basic modeling skills, which will have applications to a wide variety of problems.

    Keywords: species interactionsword equationinteractive software

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    2016-Simon_Malham-Differential_Equations_and_Linear_Algebra
    This is a nice set of notes on which a course can be based. There is ample material on first and second order, linear systems, and Laplace Transform methods for setting up and solving differential...

    Keywords: textbooklinear algebraLaplace transform

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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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    3-090-ChebyshevPolynomialSolution-TechniqueNarrative
    The Chebyshev equation is presented as a vehicle to view series solutions techniques for linear, second order homogeneous differential equations with non-constant coefficients.

    Keywords: series soluotionpolynomial solutionsChebyshev polynomialsChebyshev differential equations

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    2-005-LinearizeItAll-TechniqueNarrative
    Linear approximations are often used to simplify nonlinear ordinary differential equations (ODEs) for ease in analysis. The resulting linear approximation produces an ODE where closed form...

    Keywords: computationerrorTorricelli's Lawdata fittinglinear approximation

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    2-001-NumericalMethodsComparisons-TechniqueNarrative
    This material teaches the basics of numerical methods for first order differential equations by following graphical and numerical approaches. We discuss the order of accuracy of the methods and...

    Keywords: Euler's methodimproved Euler's methodRK3 methodsRK4 methodsorder of accuracyabsolute errorCPU time

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