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    1-114-EarthClimate-ModelingScenario
    In this modeling scenario, we investigate the Earth's climate using a zero-dimensional energy balance model. Energy balance models are climate models that try to predict the average surface...

    Keywords: climateenergytemperaturelinearizationphase linesenergy balance modelroot finding

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    Draft Version: Energy Balance Models
    This module introduces the student to the process of mathematical modeling.

    Keywords: modulemathematical modelingbenergy balanceclimate modelDIMACSResources @ DIMACSclimatein-class activityResources @ QUBES - Teaching & Referencescienceexperiment

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    2013-Kose-Kunze-Climate Modeling in the Calculus and Differential Equations Classroom
    We introduce here the basic principles of climate science for a one-dimensional Energy Balance Model (EBM),

    Keywords: climate changeEnergy Balance Modelsice albedo

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    1-076-ClimateBifurcation-ModelingScenario
    We cover simple zero and one dimensional models for the mean temperature of the Earth. These models can exhibit bifurcations.

    Keywords: energy balanceclimateenergyalbedoHysteresisbifurcationice-agegreenhousebalanceStefan Boltzmann Law

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    Temperature Balance Equation Activity
    Students learn about the temperature balance equation. They then conduct a thought experiment (with a worksheet) using the components of the equation to manage their heat balance for survival on a...

    Keywords: equationtemperatureheatevaporationconductionconvectionMetabolicRadiation

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    2009-Chellaboina-EtAl-Modeling And Analysis-Mass Action Kinetics
    Mass-action kinetics are used in chemistry and chemical engineering to describe the dynamics of systems of reactions, that is, reaction networks. These models are a special form of compartmental...

    Keywords: dynamical systemschemical reactionreaction networkmass action

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    2018-Weber_Theers_Surmann_Ligges_Weihs-Sensitivity Analysis_of_Ordinary_Differential_Equation_Models
    This report will focus on the sensitivity analysis of ordinary differential equation (ODE) models since they can be used to model so-called Low Frequency Oscillations (LFOs).

    Keywords: sensitivityregressionparameter estimationsystemlow frequency oscillationsoscillations

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    2014-Blomhøj-EtAl-Compartment models
    An overview of compartment models with many rich illustrations and much attention to various numerical methods in solutions of the resulting differential equations using Matlab. Also included is a...

    Keywords: concentrationkineticsphysiologycompartmentsalttankbalancereactionsminkbathtub

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    3-010-EnergyInSpringMassSystem-ModlingScenario
    As a way to synthesize the effects of damping and forcing terms, this activity is meant to encourage students to explore how different forcing terms will change the total energy in a mass-spring...

    Keywords: energymass-spring systemkinetic energypotential energytotal energy

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    Integrating the modeling of biogeochemical cycles and energy flow
    This in-class activity challenges students to create and then integrate models of how carbon, nitrogen, water and energy all move within an ecosystem. Using 15 provided standard pools, they work...

    Keywords: modelingecologyintegration4DEE FrameworkBiogeochemical cycles

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    Mars Colony
    In this exercise students work in groups to design an agroecosystem to feed a Mars Colony while accounting for space and energy transfer limitations.

    Keywords: SimBioResources @ SimBio

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    1-050-BargingAhead-ModelingScenario
    As captain of a barge, you need to determine how fast to transport your barge up river against the current in order to minimize the expended energy.

    Keywords: optimizationkineticsenergytrophic efficiencyworkriverterminal velocityfrictioncurrentforcebargeworlkspeed

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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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    3-104-BungeeJumping-ModelingScenario
    In this project, students design a bungee jumping cord (cross-sectional area and length) that will keep jumpers safe. Students communicate their recommendations as a letter to a client interested...

    Keywords: designfallingmassspring\bungeeelesticityrecommendationconsult

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    Squirreling Around for Science: Observing Sciurid Rodents to Investigate Animal Behavior
    Hands-on research experiences are important opportunities for students to learn about the nature of inquiry and gain confidence in solving problems. Here, we present an inquiry-based lesson plan...

    Keywords: foragingbehaviorbehavioral ecologySciuridSquirrelSquirrel-NetTrade-offVigilance

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    A Lesson on Matter and Energy at the Organismal Scale: Linking Patterns and Processes Across Diverse Taxa
    Pathways and transformations of energy and matter (PTEM) are a conceptually challenging but essential component of biological literacy. Curricular gaps about PTEM nevertheless remain; although...

    Keywords: plantsenergyAnimalsfungimatterorganismal scale

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    Follow the Sulfur: Using Yeast Mutants to Study a Metabolic Pathway
    Students are frequently overwhelmed by the complexity of metabolic pathways and they think they have "learned" the pathway when they have memorized the individual reactions.  This...

    Keywords: SelectionyeastMetabolismcysteinemediamethioninemutantPathwaysulfur

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    1-047a-CondensationOptimization-ModelingScenario
    We seek to optimize a condensation process which is modeled by a simulation using the random motion of 200 particles in a 50 by 50 square in which a particle bounces off the two vertical and top...

    Keywords: simulationdataoptimizationenergycondensationbest fitcostsum of scquare errors

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    1-087-ThanosPopulationDynamics-ModelingScenario
    In the end of the “Avengers Infinity War,” the villain Thanos snaps his fingers and turns half of all living creatures to dust with the hope of restoring balance to the natural world. How does this...

    Keywords: logisticexponentialpopulationThanos

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    3-087-ThanosPopulationDynamicsInteractingSpecies-ModelingScenario
    Thanos snaps his fingers and turns half of all living creatures to dust with the hope of restoring balance to the natural world. How does this affect the long term behavior of various species?

    Keywords: species interactionspredator-preycompetitionLotka-Volterrasensitivity analysisdynamicspopulation

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