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    2002-Fay-The Pendulum Equation
    We investigate the pendulum equation q’’(t) + l2 sin(q) = 0 and two approximations for it.

    Keywords: pendulumFourier seriesTaylor seriesnumerical solution

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    5-005-StiffDifferentialEquations-TechniqueNarrative
    This material introduces the topic of ``stiffness'' for a system of ordinary differential equations (ODE's), through a series of examples. Stiffness is a property that a system of ODE's may...

    Keywords: Euler's methodexplicit methodsimplicit methodsstiffsitffnessstiff differential equationinstability

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    1-127-FishHarvesting-ModelingScenario
    We offer students a harvesting model for operating a fishery over a 25 year horizon and ask them to write a report on optimal harvesting policy with their analyses for fishing industry experts (not...

    Keywords: Management Of Dataoptimal controlfisherieslogisticharvestingmaximum sustainable yield

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    5-007-ChemOpt-ModelingScenario
    Modeling a chemical reaction and estimating parameters in the model permits optimization of profits from extracting reactants.

    Keywords: optimizationpYield and sustainabilitynonprofit managementLaw of Mass Actionkineticreaction

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    2014-Hrydziuszko-EtAl-Mathematical Two-compartment Model of Human Cholesterol Transport
    We develop a two-compartment mathematical model to investigate cholesterol transport in the circulatory system and its de novo synthesis in the liver.

    Keywords: metabolic syndromecompartmentcholesteroltwo-compartment modelcholesterol transport

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    2009-Noakes-Sleigh-Mathematical models for assessing the role of airflow on the risk of airborne infection in hospital wards
    Understanding the risk of airborne transmission can provide important information for designing safe healthcare environments with an appropriate level of environmental control for mitigating risks.

    Keywords: infectioncompartmenthospitalventilationairbornesthochasticWells–Riley

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    2001-Noymer-The transmission and Persistence of Urban Legends-Sociological Application of Age-Structures Epidemic Models
    This paper describes two related epidemic models of rumor transmission in an age-structured population. Rumors share with communicable disease certain basic aspects, which means that formal models...

    Keywords: age structurerumorspersistenceUrban Legends

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    A Short Bone Biomechanics Primer: Background for a Lesson on Bone Viscoelasticity
    The skeletal system is the first of the body systems that we discuss in-depth in our Physiology & Anatomy courses (PNB 2264/2265 and PNB 2274/2275) in the Department of Physiology and...

    Keywords: structure-functionbiomechanicsAnisotropyViscoelasticity

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    5-090-SolidParticleErosion-ModelingScenario
    By applying Newton's second law, and making a collection of reasonable assumptions, students will derive a system of differential equations that model the path of a rigid particle as it gouges...

    Keywords: classical mechanicssolid mechanicsNewton's Laws of Motionrigid bodyplasticitypittingductile surface

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    An Interactive Protocol for In-Classroom DNA Extraction
    Using commonly available materials, this tool allows students to extract DNA, exploring DNA chemistry and the principles of experimental design and execution. We take a “Choose Your Own...

    Keywords: geneticsDNAbiochemical structure and function

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    What do Bone and Silly Putty® have in Common?: A Lesson on Bone Viscoelasticity
    Without the use of real-life examples and models, actively instructing and engaging students in complex physiology topics related to bone biomechanics can be challenging. In our large-enrollment...

    Keywords: structure-functioninjuryAnisotropyHysteresisSkeletal SystemViscoelasticity

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    The Developmental Origins of Mythology: A Pandemic-Inspired Innovative Developmental Biology Laboratory Exercise
    From an experiential, hands-on perspective, the Developmental Biology Laboratory is easily amenable to a wide range of undergraduate-friendly experiments. Thus, pivoting to a virtual laboratory...

    Keywords: gastrulationaxis formationlimb developmentchimeramidline

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    Outside the Norm: Using Public Ecology Database Information to Teach Biostatistics
    Biology students’ understanding of statistics is incomplete due to poor integration of these two disciplines. In some cases, students fail to learn statistics at the undergraduate level due...

    Keywords: biostatisticshypothesis testingexperimental design

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    How Do Kidneys Make Urine From Blood? Qualitative and Quantitative Approaches to Filtration, Secretion, Reabsorption, and Excretion
    The function of the kidneys is to help maintain a constant internal environment (homeostasis) by regulating the volume and chemical composition of the blood. This regulation occurs via three...

    Keywords: collecting ductexcretionglomerular filtration rate (GFR)nephron tubulereabsorptionrenal corpusclesection

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    Using Gamification to Teach Undergraduate Students about Scientific Writing
    Despite its importance, scientific writing is often deprioritized in undergraduate biology classes. Reasons include assumed prior knowledge, lack of class time, tedious grading, and the complexity...

    Keywords: gamificationscientific writingE-LearningInstant FeedbackInteractive LearningReading Scientific PapersVIdeo/computer game

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    Teaching Genetic Linkage and Recombination through Mapping with Molecular Markers
    Most introductory genetics courses cover genetic linkage, a core concept in the CourseSource genetics learning outcome framework. Although it is a classical genetics topic, genetic linkage remains...

    Keywords: meiosisphenotypegel electrophoresismicrosatellitesBanding PatternGenetic linkageInheritanceMolecular MarkersPhysical Linkage

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    Science “Fails”: A Bank of Historical Examples for Learning From Failure in Science
    Learning from failure is critically important to the processes of scientific inquiry, discovery, and invention. However, students are not routinely taught how to reflect on, learn from, and...

    Keywords: metacognitionScience process skillsLearning from failurepower and privilegestudent wellbeing

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    Using Yeast to Make Scientists: A Six-Week Student-Driven Research Project for the Cell Biology Laboratory
    Traditionally-trained undergraduate students often lack an understanding of science as an active process that yields the information presented in their textbooks. One result has been a call for...

    Keywords: yeastgrowth curvecell proliferationviability

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    Single Cell Insights Into Cancer Transcriptomes: A Five-Part Single-Cell RNAseq Case Study Lesson
    There is a growing need for integration of “Big Data” into undergraduate biology curricula. Transcriptomics is one venue to examine biology from an informatics perspective. RNA sequencing has...

    Keywords: bioinformaticscancertranscriptomicshigh-throughputData wranglingSingle cell RNA sequencingq

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    Building Trees: Introducing evolutionary concepts by exploring Crassulaceae phylogeny and biogeography
    Teaching evolutionary theory is foundational for all biological sciences and a key aspect of overall science literacy. The conceptual framework for understanding evolution relies on thinking...

    Keywords: EvolutionphylogeneticsTree thinkingbiogeography

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