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    2019-Fan_ Li_ Yin- Impact_of_environmental_tax_on_green_development-nonlinear_dynamical_system_analysis
    This study analyzes the impact of environmental tax on green development by using a four-dimension dynamical system.

    Keywords: environmentsystemequilibrium pointmodel chaoseconomic growthnonlinear

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    2019-Radulescu-Lundgren-A_pharmacokinetic_model_of_lead_absorption_and_calcium_competitive_dynamics
    We build and analyze a compartmental model of lead pharmacokinetics, focused specifically on addressing neurotoxicity.

    Keywords: QUBES Leadership Teamparametersabsorptionbifurcationpharmacokineticscalciumcognitive decline

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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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    Bringing Pasteur Back to Life: Studying the Biochemistry of Yeast Fermentation Through Discussion Groups and an At-Home Lab
    This hands-on, student-centered biochemistry lesson introduces beginner biochemistry students to the techniques of effectively reading and discussing primary literature, identifying fundamental...

    Keywords: primary literatureexperimentationyeastMetabolismFermentationRespirationequilibrium

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    Go Extinct! An Award-Winning Evolution Game That Teaches Tree-Thinking as Students Pursue the Winning Strategy
    Evolutionary trees communicate both the diversity and unity of life, a central and important scientific concept, as highlighted by the Vision and Change undergraduate biology education movement....

    Keywords: phylogeneticsnatural historyBiodiversitycladogramCommon ancestorEvolutionary treeLand vertebratesMonophyletic cladeTetrapods

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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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    Rivers as Social-Ecological-Technological Systems: Integrative Issue Formulation and Problem Solving
    Flowing surface waters continue to capture the human imagination and are increasingly harnessed by many interdependent human activities. Existing theories for studying rivers as cohesive ecological...

    Keywords: Interdisciplinary STEMProblem based learningcomplex systemsexperiential learningRiver Field Studies Network

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    Isolation and Functional Analysis of a Pancreatic Enzyme in an Introductory Student Lab
    Structure and function are correlated at all levels of biology. This topic is typically addressed early in an undergraduate class in general or molecular biology before students have gained much...

    Keywords: Protein StructureproteaseEnzymechemical bondscatalysissolubility

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    A Rapid Genetic Screen Using Wisconsin Fast Plants®: A Hands-On Approach to Inheritance of de novo Mutations
    Some concepts in genetics, such as genetic screens, are complex for students to visualize in a classroom and can be cumbersome to undertake in the laboratory. Typically, very large populations are...

    Keywords: mutationInheritancegermlinesomaplant lifecycle

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    Making Change Sustainable: Network for Integrating Bioinformatics into Life Sciences Education (NIBLSE) Meeting Review
    The purpose of the meeting described in this review was to decide how best to ensure the sustainability of the Network for Integrating Bioinformatics into Life Science Education (NIBLSE; pronounced...

    Keywords: meetingsustainabilityfmnNIBLSEincubator

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    The impact of diversifying and humanizing science role models on student attitudes and interest in science careers
    We introduced diverse and humanized scientist role models into data literacy instruction and quantified changes in student attitudes towards science. We found that the impact of science role models...
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    Role of Crop Genetic Diversity on Pathogen Impact: The Tale of Two Pathogens
    Introductory genetics courses are part of the core curriculum in many different fields, including plant breeding, animal science, biology, microbiology, and natural resource management. Concepts...

    Keywords: plant pathologygenetic diversityDisease TriangleModes of Reproduction

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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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    1-010-AtmosphericCO2Bifurcation-TechniqueNarrative
    Students are introduced to the concept of a bifurcation in a first-order ordinary differential equation (ODE) through a modeling scenario involving atmospheric carbon dioxide whish is taken as a...

    Keywords: carbon dioxideSurface Atmosphere Exchangebifurcationfold bifurcationsaddle node

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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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    1-079-HomeHeating-ModelingScenario
    This project concerns using Newton's Law of Cooling to model the heating of a house. In particular, if one is going away for awhile, is it more economical to leave a house at a desired temperature...

    Keywords: Optimal Control TheorytemperatureheatfurnaceNewton's Law of Coolinghome heatingspecific heat

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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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    1-118-SolowEconomicGrowth-ModelingScenario
    Students construct and analyze the celebrated Solow-Swan model of economic growth theory. The project is divided into three sequential parts to teach students to understand, develop, and analyze a...

    Keywords: optimizationeconomicssteady stategrowthSolow-Swan modelcapitalproductionlaborGolden Rule of Economic Growth

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    1-134-LanguageDynamics-ModelingScenario
    Students will be introduced to a mathematical model for language dynamics. Specifically, the model describes the change in the fraction of a population speaking one language over another.

    Keywords: languagecompartmentphase linesbifurcationswitching

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