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    A first lesson in mathematical modeling for biologists: Rocs
    Using a fictitious population of Rocs, a mythical species of giant raptor, students accomplish two broad objectives: 1) they undertake the process of building a first mathematical model of a...

    Keywords: population ecologypopulation modelingdiscrete generationpopulation management

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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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    6-005-InsectColonySurvivalOpt-ModelingScenario
    We present a system of nonlinear differential equations to model the control of energy flow into producing workers or reproducers in an insect colony, using a set of given parameters and a number...

    Keywords: optimizationOptimal Control Theoryinsect colonyoptimal controlnatural resourcesPointryagin's Maximum Principlecontrol variable

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    2017-Adolfo_Rumbos-Differential Equations and modeling
    The study of any phenomenon in the physical or biological sciences, in which continuity and differentiability assumptions about the quantities in question can be made, invariably leads to a...

    Keywords: pendulumLotka Volterra equationsexistenceuniqueness

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    2009-Su-EtAl-Fitting Compartmental Models to Multiple Dose Pharmacokinetic Data using SAS
    In the case of a multiple dose study where subjects experience different dosing times, a superposition principle can be used to recursively account for each additional dose.

    Keywords: SASsuperpositionpharmacokineticscompartmental modelsmultiple dose

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    2006-Juska-Gedminiene-Ivanec-Growth of Microbial Populations-Mathematical Modeling-Laboratory Exercises-Model-Based Data Analysis
    The aim is to teach the students to use a fresh approach to the problems they are familiar with, to come up with an articulate verbal model after a mental effort, to express it in rigorous...

    Keywords: population growth ratelogistic equationVerhulst equationgeneration timelag time

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    2007-Joseph_Myers-Brian_Winkel-Modeling_a_Mystery_Circuit_in_Mathematics_Class_Using_Differential_Equations_Laplace_Transforms_and_Transfer_Functions
    We discuss the introduction, student discovery, and teaching of a system of differential equations which model a circuit.

    Keywords: circuitLaplace transformtransfer functionmystery circuitvoltage frequencytwo loop circuit

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    3-061-ChemEngApps-ModelingScenario
    Students go through a chemical engineering problem: calculate concentration profile of cyclohexane within a catalyst pellet by solving a second order linear differential equation; then analyze the...

    Keywords: Spanishporous mediumcatalyisiscyclohexenehydrogeldehydrogenationhyperbolic trig functions

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    3-042-CatapultLaunch-ModelingScenario
    We maximize the range of a projectile by backing up an incline in the opposite direction of the range to give some initial lift. Find the position on the hill from which to launch the projectile to...

    Keywords: projectile motioncatapultuphilllaunch angle

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    6-026-IsleRoyaleModeling-ModelingScenario
    The primary aim of this project is to draw a connection between differential equations and vector calculus, using population ecology modeling as a vehicle.

    Keywords: ecologyoptimizationpredator-preypopulationvector calculusLagrange multipliersleast squaresIslel Royale

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    Happy Blue Baby
    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 on its own...

    Keywords: mutationHemoglobinmolecular visualization and analysisgenetic basisPDBMolecular Case StudyMol*

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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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    Sequence Similarity: Introducing Biological Databases to Community College Biology Students
    This laboratory module, published on CourseSource, leads introductory biology students in the exploration of a basic set of bioinformatics concepts and tools.

    Keywords: phylogeneticsbioinformaticssequencingFASTANCBINIBLSEalgorithmsincubatorsBLASTmultiple sequence alignmentsequence similarityBLOSUM scoring matrixneighbor-joining distance matrixCourseSourcephylogramZika virus

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    Developing a phylogram from computational resources.
    This laboratory module, published on CourseSource, leads introductory biology students in the exploration of a basic set of bioinformatics concepts and tools.

    Keywords: phylogeneticsbioinformaticssequencingFASTANCBINIBLSEalgorithmsBLASTmultiple sequence alignmentsequence similarityneighbor-joining distance matrixCourseSourcephylogrampercent identity matrix

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    Waking up Anna
    This case focuses on understanding the molecular basis of Anna's sleeping disorder and its treatment.

    Keywords: sleepmolecular visualization and analysisPDBMolecular Case StudyGABA

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    Sequence Similarity: An inquiry based and "under the hood" approach for incorporating molecular sequence alignment in introductory undergraduate biology courses
    This laboratory module, published on CourseSource, leads introductory biology students in the exploration of a basic set of bioinformatics concepts and tools.

    Keywords: phylogeneticsbioinformaticssequencingFASTANCBINIBLSEalgorithmsincubatorsBLASTmultiple sequence alignmentsequence similarityBLOSUM scoring matrixneighbor-joining distance matrixCourseSourcephylogramZika virus

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    Introduction to Genome Browser: What is a Gene?
    In this module, we will use a web-based visualization tool called a Genome Browser to explore the structure of a eukaryotic gene, and obtain a basic understanding of how this information is...
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    Natural Selection and Galápagos Finches
    A worksheet and accompanying data set that guides students through making and interpreting frequency distributions, selection differentials, and fitness functions.

    Keywords: EvolutionResources @ HHMI - BioInteractive

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    Quantifying Bacterial Growth in the Guts and Hemolymph of Fruit Flies: Mathematical Modeling and Data Interpolation/Extrapolation
    In this activity, students will analyze raw data obtained from an experiment that explores the effect of overexpressing the Ssk protein in order to strengthen the intestinal barrier and prevent...

    Keywords: graphingexponential growthlinear modelsqbccinterpolationConcepts in Statistics and Precalculus Understanding exponential rates and linear slopesExtrapolation

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    1999-Kowalczyk-Hausknecht-Using DEs To Model Real World Data
    With the increasing availability of easy to use interactive differential equation software, we convinced ourselves to completely redesign the way we teach differential equations.

    Keywords: circuitTorricelli's LawHooke's LawRC circuitharmonic oscillatorglucoseglucose tolerance test

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