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    2019-Stender_EtAl-Recovery_Of_Differential_Equations_From_Impulse_Response
    In this work, a recent method, which allows reconstructing differential equations from time series data, is extended for higher degrees of automation.

    Keywords: time seriesregressionresponseimpulseoscillationsignal processingsparse regressionsystem identification

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    2020-Stepien_Kostelich_Kuang-Mathematics Cancer An Undergraduate Bridge Course in Applied Mathematics
    Most undergraduates have limited experience with mathematical modeling. This paper describes a course on the mathematical models of cancer growth and treatment.

    Keywords: differential equationsmodelingundergraduate educationcancertumor

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    9-125-BeamModeling-ModelingScenario
    This modeling scenario examines the deflection of a cantilever beam under two different distributed loads. Students will have the opportunity to conduct experiments with their own cantilever beam...

    Keywords: Fluid MechanicsbeamcantileverimpulseLaplace transformboundary conditionfourth order

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    Metastatic Mastery: A Case and Game-Based Approach to Learning About Cancer Mechanisms
    Mechanisms that contribute to the development of cancer are numerous and complicated, though most can be traced to a set of mutations in cell cycle regulatory genes that throw the process of cell...

    Keywords: mutationcancertranscriptioncell cycletranslationOncogenesTumor-suppressorp53Transcription factor

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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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    1-009-Bifurcation-TechniqueNarrative
    We lead students to investigate first-order differential equations that contain unknown parameters. Students discover what happens to the qualitative behavior of solutions to these equations as...

    Keywords: bifurcationqualitative behaviorbifurcation diagram

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    3-043-BallisticModeling-SpongeDart-ModelingScenario
    The goal of this project is for students to develop, analyze, and compare three different models for the flight of a sponge dart moving under the influences of gravity and air resistance.

    Keywords: projectile motionair resistanceballisticsdimensional analysisNewtonian mechanicssponge dartNerf gunNerf dartBuckingham's Theorem

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    1-102-CancerTumor-ModelingScenario
    This module guides students in the use of differential equation models to predict cancer growth and optimize treatment outcomes. Several classical models for cancer growth are studied, including ...

    Keywords: optimizationlogisticpredictiondata fittingpower lawGompertzcancer growtheponentialBertalanaffy

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    1-102C-CancerGrowth-ModelingScenario
    This module guides students in the use of differential equation models to predict cancer growth and study treatment outcomes. Several classical models for cancer growth are presented including...

    Keywords: optimizationcancerlogisticexponentialpredictiontumorgrowthdata fittingpower lawBertanffyGompertz

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    1-120-CircularRollerCoaster-ModelingScenario
    Students study the dynamics of a circular roller coaster and work out the equations of motion in the ideal case as well as considering the interesting complication of including kinetic friction....

    Keywords: population dynamicsenergyFluid Mechanicsmfrictionroller coasterintegration by8 parts

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    3-050-CometOrbitalMechanics-ModelingScenario
    The broad goal of this activity is to use a basic numerical method to approximate the solution of an initial value problem. In this particular case, we will use Euler's method to help model the...

    Keywords: trajectorySpaceEuler's methodorbital mechanicscometorbit

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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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    Teaching the Central Dogma Using a Case Study of Genetic Variation in Cystic Fibrosis
    The central dogma of biology is a foundational concept that is traditionally included in genetics curricula at all academic levels. Despite its ubiquitous presence throughout genetics education,...

    Keywords: transcriptioncentral dogmatranslationsequence analysisDNA replicationgenetic variants

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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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    A Student-Led Hearing on the Use of HeLa Cells in Research
    In this role-playing case study, students will learn about the HeLa cell line and its origins while examining multiple perspectives surrounding the cell line and its uses. The goal of this case...

    Keywords: bioethicsscience policycell culturedebateHeLa cellsinformed consentrole playsocial justice issues

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    A CURE for Salmonella: A Laboratory Course in Pathogen Microbiology and Genomics
    Rapid advances in genomics and bioinformatics, the vast amount of data generated by next-generation sequencing, and the penetration of the ‘-omics’ into many areas of biology have created a need...

    Keywords: epidemiologyresearchbioinformaticsgenomicspublic healthAntibiotic Resistant BacteriaSalmonellaDNA sequencingpathogenic bacteria

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    Using a Primary Cell Culture Model to Study the Neural Extracellular Matrix
    The extracellular matrix (ECM) provides structural support to cells, but also has key roles in mediating cell adhesion, cell signaling, and differentiation. While this topic is discussed in the...

    Keywords: Neural extracellular matrixPerineuronal netPrimary neuronal culture

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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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    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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    It's a bird! It's a plane! It's biomechanics!
    Biomechanics is a discipline that draws from physics and engineering principles to understand the movement and structure of living organisms. It is highly interdisciplinary in nature and can be...

    Keywords: EvolutionecologybatphysiologyAnatomybirdFlightforcesinsect

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