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    1-115-ModelingWithFirstOrderODEs-ModelingScenario
    Several models using first order differential equations are offered with some questions on formulating a differential equations model with solutions provided.

    Keywords: bacteriafalling objectNewton's Law of Coolingdrugcoolingdrag

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    2007-Graham-Lerch-Parameter Recovery for a Differential Equation Model
    This article presents a project for a differential equations class using an inverse problem based on the second order differential equation that models and electrical circuit.

    Keywords: laboratorydata collectionRLC circuitinvers problemelectrical circuit

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    Understanding the Importance of Microtubules in Normal Cell Division: Chemotherapy Connection
    In introductory courses, students learn about microtubules as important structures but may not engage in a hands-on experience to localize microtubules themselves or to learn about their connection...

    Keywords: cancerCell DivisionimmunofluorescenceMicrotubulesAntibodies

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    Adapting InTeGrate Materials for Online Courses
    As part of my second mentoring of the InTeGrate FMN for QUBES, I chose to focus on my conversion of several resources to an online course format.
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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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    Fibroblast spheroids and other models of wound healing and infectivity
    The goal of our research is to create a functional in vitro 3D model of skin for the purpose of experimentation.

    Keywords: researchwound healing

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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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    2007-Mogen_Steffensen-Differential Equations in Finance and Life Insurance
    The mathematics of finance and the mathematics of life insurance were always intersecting. Life insurance contracts specify an exchange of streams of payments between the insurance company and the...

    Keywords: financedisabilitylife insurancemortalityinsuraneThiele’s equationBlack-Scholes equation

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    3-105-FrequencyResponse-ModelingScenario
    We describe the frequency response to a second order differential equation with a driving function as the maximum steady state solution amplitude and perform some analyses in this regard.

    Keywords: transient dynamicscircuitspring massdriverfrequency responseamplitudesteady state

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    Taking a Second Look: Investigating Biology with Visual Datasets
    An article exploring the use of visual datasets as an educational aid for biology students.

    Keywords: Evolutionpedagogyclassificationphylogenyvisual learningResources @ QUBES - Teaching & Reference

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    IQS 2.0: A Modularized Integrated Math and Science Course
    Part of the 2015 SMB Minisymposium: Topics in Biomathematics Education

    Keywords: coursefirst-year

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    1-057-FiguringFluidFlow-ModelingScenario
    We propose three differential equations models for the height of a column of falling water as the water exits a small bore hole at the bottom of the cylinder and ask students to determine which...

    Keywords: dischargetankTorricelli's LawConservation of Energyfluid flowheightliquid

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    Meiosis Remodeled: Inclusion of New Parts to Poppit Bead Models Enhances Understanding of Meiosis
    A long-standing tradition uses strings of poppit beads of different colors to model meiosis, especially to show how segments of paired homologous chromosomes are recombined. Our use of orthodontic...

    Keywords: meiosischiasma formationchromosome recombination

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    2016-Erno_Keszei-Chemical Kinetics for Beginners
    The most important goal of kinetic research is the identification and characterisation of elementary molecular events which make possible the transformation of reactants into products.

    Keywords: kineticszeroth order reactionfirst order reactionsecond order reactionreaction ratesthird order reaction

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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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    Cellular Respiration and pH: blocking the electron transport chain and its effects on the proton gradient, pH, and ATP production
    This module contains exercises designed to help students describe the stages of cellular respiration and quantify the energy molecules produced. Students will predict the region of higher proton...

    Keywords: introductory biologyQuantitative reasoningquantitative biologyinterdisciplarycell functionInterpreting GraphsATPpHCellular RespirationEnergy transformationsElectron flowNIQBC2. Data and GraphsC4. mathematical modelsC1. Numeracyproton gradientelectron transportelectron transport blockersFADH2chemiosmosisATP synthaseNADHproton concentration

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    Teaching Cell Structures through Games
    As the basic unit of life, cells are a foundational concept for all of biology. Before students can appreciate how eukaryotic cells function either in isolation or in higher order and multicellular...

    Keywords: Cell Structurecell organellesTransmembrane Transport

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    4-020-AnIEDBlast-ModelingScenario
    These three exercises offer students a chance to model with second order ordinary differential equations, how they might incorporate a spring-mass system into a larger model, and how they can use...

    Keywords: applied mathematicsforcesFree Body DiagramImprovised Explosive Devicessum of forces

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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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    3-034-CarSuspension-ModelingScenario
    We examine the spring-mass-dashpot that is part of a car suspension, how the ride is related to parameter values, and the effect of changing the angle of installation. We model a ``quarter car'',...

    Keywords: designspring-mass-dashpotspring constantunderdampingcar suspensionsuspension tolerancestatic equilibrium

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