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    2016-Langtangen-Pedersen - Scaling of Differential Equations
    Nowadays, the greatest practical benefit of scaling is related to running numerical simulations, since scaling greatly simplifies the choice of values for the input data and makes the simulations...

    Keywords: scalingdimensionlesscontinuum mechanics

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    Environmental Injustice: When the Grass is Greener on the Other Side
    Environmental pollution is a global threat that is especially prevalent in heavily industrialized and urbanized areas. Pollution can be found in many forms, such as natural and synthetic pollutants...

    Keywords: human healthenvironmental injusticeEnvironmental PollutionSystemic BiasesIdeological AwarenessUrban Ecology and Development

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    Doctor in the House: Improving Undergraduate Critical Thinking Skills Through Diagnosing Medical Case Studies
    Students in undergraduate anatomy and physiology courses are not often exposed to clinical examples of homeostatic imbalances, particularly ones that provide an opportunity to diagnose a...

    Keywords: medicinediagnosiscardiovasculardeductive reasoningdigestiveEndocrinehomeostatic imbalancehypothetico-deductive modelurinary

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    Using Undergraduate Molecular Biology Labs to Discover Targets of miRNAs in Humans
    Incorporating authentic research experiences into undergraduate labs, while shown to be particularly effective at engaging and retaining students in STEM majors, can be difficult to accomplish...

    Keywords: gene regulationmicroRNAsgene expression

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    Investigating Gene Expression and Cell Specialization in Axolotl Embryos
    The process of cell specialization is critical to the formation and function of tissues in animals and plants. Although gene expression, including the regulation of transcription, is taught in most...

    Keywords: developmenttranscriptiongene expressionmodel organismembryo

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    Building a Model of Tumorigenesis: A small group activity for a cancer biology/cell biology course
    The multistep nature of tumorigenesis is a foundational concept in the context of Cancer Biology. Many students do not appreciate the complex nature of cancer development nor do they understand how...

    Keywords: pathwayscancerMolecular AlterationsRetrospective dataTumorigenesis

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    Using a Sequential Interpretation of Data in Envelopes (SIDE) approach to identify a mystery TRP channel
    This lesson sought to engage students in data interpretation and to encourage critical thinking about neurophysiology in the context of temperature sensation. A family of receptors called Transient...

    Keywords: Cell communicationChannel specificity and activationLimitations of tools of Cell BiologyNeuronal Signaling

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    Out of Your Seat and on Your Feet! An adaptable course-based research project in plant ecology for advanced students
    University capstone projects can offer science students a rich research experience that illustrates the process of doing scientific research, and can also help students better choose future...

    Keywords: statisticsactive learningecologyinterdisciplinaryplantscommunicating sciencegroup workfield workproces of science

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    UNIDE - The Undergraduate Network for Increasing Diversity of Ecologists (RCN-UBE Introduction)
    We aim to build a sustainable network of ecologists, educators, social scientists, and students who are committed to identifying and remedying cultural and social barriers that reduce human...

    Keywords: RCN-UBE Introduction

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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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    Grassy Narrows and Muskrat Falls Dam: The Central Limit Theorem and a t-test
    Students are introduced to concepts of sampling distributions and hypothesis testing using a simulation applet, elementary hypothesis tests, t-tests, and p-values as they compare a given fish...

    Keywords: statisticsmathematicsbiostatisticsecologybiologygraphingp-valuest-testshypothesis testingin-class activityZoologymercury biogeochemistrybiostatistics - generalfish populationqbccBiogeochemical cyclesInterpret graphsSolving Equations and InequalitiesConcepts in StatisticsElementary Hypothesis TestingMethylmercurydamsBioaccumulationtraditional dietsmercurymercury poisoningnative peopleindigenous populationCanadahydroelectricexplaining statisticsusing statisticsMake probability calculations

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    Using Grassy Narrows in a Live Classroom with Clicker Questions and Interactive Histogram: Sampling Distributions, Probability, and Hypothesis Testing
    Students are introduced to concepts of sampling distributions, p-values, and hypothesis testing. Using both simulated and real data for methylmercury level in fish populations, students will...

    Keywords: statisticsmathematicsbiostatisticsecologybiologygraphingp-valuest-testshypothesis testingin-class activityZoologymercury biogeochemistrybiostatistics - generalfish populationqbccBiogeochemical cyclesInterpret graphsConcepts in StatisticsElementary Hypothesis TestingMethylmercurydamsBioaccumulationtraditional dietsmercurymercury poisoningnative peopleindigenous populationCanadahydroelectricexplaining statisticsusing statisticsMake probability calculations

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    2011-Nancy_Rodrıguez-Applied Partial Differential Equations in Crime Modeling and Biological Aggregation
    In the first part we study a fully-parabolic system of PDEs for residential burglary ‘hotspots’ (spatio-temporal areas of high density of crime). In this work we are concerned with the existence...

    Keywords: biologyDiffusionKeller-Segel modelchemotaxiscrime

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    2010-Kar-Chakraborty-Bioeconomic_modelling_of_a_prey_predator_system_using_differential_algebraic_equations
    We propose a biological economic model based on prey-predator dynamics where the prey species are continuously harvested and predation is considered with type II functional response.

    Keywords: economicsbifurcationharvestfisheryequilibriumdifferential algebraic equation

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    COVID-19 Model
    This Excel worksheet implements an SEAIHRD model for Covid-19 (Susceptible, Exposed, Asymptomatic infective, symptomatic Infective, Hospitalized infective, Recovered, Deceased).

    Keywords: infectious diseaseCOVID19

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    Prosecutor’s Fallacy and Mammograms Case Study
    An introduction to Prosecutor’s Fallacy, and False Positives/Negatives. By Dr. Diaz Eaton, Bates College, for use in DCS 105A, and inspired by Calling Bull & Calculated Risks.

    Keywords: ProbabilityExcelcalling bullMammogramsData UnderstandingVisualizing Outcomes

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    2015-Sivakumar-EtAl-Approximate Analytical Expression of Concentrations in a Kinetic Model for Biogas Generation from Banana Waste
    The initial value problem in a kinetic model for biogas generation from banana waste is discussed. The model involves the system of non-linear differential equations which has variety of non-linear...

    Keywords: chemical kineticsMichaelis-Menten kineticsanaerobic digestionacidogenic stepsbananamethanogenic stepswastes

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    2014-Vance-Eads-Sensitivity Analysis of a Three-Species Nonlinear Response Omnivory Model with Predator Stage Structure
    We investigate a three-species nonlinear response omnivory model incorporating stage structure in the top predator. The model consists of four coupled ordinary differential equations involving...

    Keywords: stage structuresensitivity analysismortalityomnivoreomnivory modelsearch rates

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    2013-Alicia_Caldwell-Students Rise to the Challenge of Modeling Yeast Growth Despite Sour Hiccups from Imperfect Data
    This paper describes a lab in which students in an Applied Mathematics in Biology course observe the growth of Saccharomyces cerevisiae, a yeast strain, in differing sugar concentrations for use in...

    Keywords: Saccharomyces cerevisiaelogisticyeastdeathgrowthsugaralcohol

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    2011-Nakul-Chitnis-Introduction to Mathematical Epidemiology - Deterministic Compartmental Model
    Deterministic compartmental models form the simplest models in the mathematical study of infectious disease dynamics. They assume that a population is homogenous (all people are the same) and the...

    Keywords: sensitivitydiseaseinfectionthresholdcompartmentbifrucation

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