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    Gibb’s Free Energy and the Nature of Chemical Reactions
    This module introduces Gibb’s Free Energy in the context of understanding the nature of chemical reactions. It is intended for an introductory biology audience.

    Keywords: ExponentsLogarithmsRatiosexponential equationsSequencesCell StructureOpenStaxCell Growthgeometric equations

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    2012-Jambhekar-Breen-Extravascular Routes Of Drug Administration in Basic Pharamacokinetics
    This provides an excellent step-by-step of the physiology, construction of model, and notions like peak concentration as well as issues like lag time.

    Keywords: concentrationphysiologydrugslag timeExtravascularPharamacokineticspeak time

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    1-030-EyeModel-ModelingScenario
    We offer a mathematical modeling experience using differential equations to model the volume of an intraocular gas bubble used by ophthalmologists to aid the healing of a surgically repaired region...

    Keywords: retinal surgeryAkaike Information CriterionSpanishsum of square errorssurgeryretionaophthalmologyeyeintraocular gas bubble

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    1-061-PotatoCooling-ModelingScenario
    We model the cooling of a baked potato and compare it to student-collected data.

    Keywords: least sum of square errorsNewton's Law of Coolingcoolingpotato

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    5-011-ModelingIbuprofren-ModelingScenario
    We consider modeling of data from a clinical experiment administered as oral doses of 400 mg ibuprofen, an analgesic pain reliever. Concentrations of ibuprofen in the serum/plasma of the subjects...

    Keywords: dataAICAkaike Information Criterionabsorptionsum of square errorscompartment modelibuprofendelay

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    6-019-EnablingEpidemicExploration-ModelingScenario
    We became aware of several interesting possibilities for a modeling opportunity with data and we invited you to explore the several routes to parameter estimation in a SIR model with respect to the...

    Keywords: Akaike Information CriterionMichaelis-Mentenepidemicsaturationgradientleast sum of square errors

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    6-029-TumorGrowth-ModelingScenario
    This modeling scenario guides a student familiar with single ordinary differential equation (ODE) models towards the development of a more complex system of two ODEs for describing the evolution of...

    Keywords: Pop_Growth Pilotlogisticcomparmenttumorsynthetic datasum of squares error

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    1-009-ICUSpread-ModelingScenario
    We offer students the opportunity to model the percentage of voluntary nonprofit hospitals in the United States with Intensive Care Units during the period of 1958-1974.

    Keywords: logisticsum of square errorsIntensive Care Unithospitalspread

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    4-035-ParEstSteadyState-ModelingScenario
    Students estimate parameters in a second order, linear, ordinary differential equations through analysis of the steady state solution. By applying a driver we can collect data in terms of the...

    Keywords: driversteady statesum of square errors

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    1-047-Condensation-ModelingScenario
    We simulate the random motion of 200 particles in a 50 by 50 square in which a particle bounces off the two vertical and top walls and condenses on the bottom wall. Animations are produced and...

    Keywords: simulationsum of square errorscondensationbest fit

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    1-085-DrugBolus-ModelingScenario
    Given data on the concentration of a drug in the plasma of a human in mg/L at certain time intervals in hours can we determine the rate at which the drug leaves the plasma as well as the initial...

    Keywords: concentrationsum of square errorsbolusdrugrate constantadminister

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    3-090-OneSpringMass-ModelingScenario
    We lead students through building a mathematical model for a single mass (bob)-spring system that is hanging vertically. We also lead the students, using data that they collect together with their...

    Keywords: undampedsum of square errorsmass springHooke's Lawoscilationleast-squares approximation

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    2008-Duran-Caginalp-Parameter optimization for differential equations in asset price forecasting
    The optimization procedure is used in conjunction with daily market prices (MPs) and net asset values to determine the parameters for which the AFDE yield the best fit for the previous n days.

    Keywords: financeinverse problemnumerical nonlinear optimizationasset flowfinancial market dynamicsmarket return prediction algorithm

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    1994-T_Gruszka-A_Balloon_Experiment_in_the_Classroom
    The experiment consists of dropping a balloon from two different heights and recording the time it takes to hit the floor. The following experiment involves a balloon, a stopwatch, and a...

    Keywords: differential equationsresistancegravityfree fallaccelerationballoon

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    The Leaky Neuron: Understanding synaptic integration using an analogy involving leaky cups
    Students have difficulty understanding synaptic integration in neural circuits, and how spatial and temporal summation combine in a target neuron to reach threshold.  This Lesson uses small...

    Keywords: neuron physiologyspatial summationsynaptic integrationtemporal summationthreshold

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    Predicting and classifying effects of insertion and deletion mutations on protein coding regions
    Mutations in genes can affect the encoded proteins in multiple ways, and some of these effects are counterintuitive. As for any other knowledge, students must create their own deep understanding of...

    Keywords: mutationcentral dogmatranslationframeshift

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    Grow the Gradient: An interactive countercurrent multiplier game
    The countercurrent multiplier of the loop of Henle in a mammalian kidney is a challenging concept for instructors to teach and for students to learn. We developed an interactive game to support...

    Keywords: countercurrent multiplierexcretory systemkidneyloop of Henlemembrane transport

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    An Interrupted Case Study on Urban Prairie Restoration
    Engaging students in meaningful discussions can be a challenging task for science instructors, especially in introductory courses. The story-telling approach used in case studies can increase...

    Keywords: urban ecologyPrescribed fireEcosystem Servicesecological restorationwoody encroachmentrangeland ecology

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    How to Find a Gene: Retrieving Information From Gene Databases
    A strong understanding of distinct gene components and the ability to retrieve relevant information from gene databases are necessary to answer a diverse set of biological questions. However, often...

    Keywords: NCBItranscriptiontranslationGene StructureGene databasesEnsembl

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    Debating Conservation: Developing Critical Thinking Skills in Introductory Biology Classes
    Role-playing activities in the classroom promote students’ critical thinking, research, and communication skills. We present an activity where students debate a current controversy in...

    Keywords: Restorationtrophic cascadeecosystem function

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