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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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    2012-Brian_Ingalls-Mathematical Modelling in Systems Biology An Introduction
    This is a comprehensive text with much biology background to motivate the mathematical modeling, exercises and answers, and many rich examples.

    Keywords: spatialsensitivity analysisgene regulatory networksstochasticbifurcationmetabolic networkselectrophysiologytransductionrate lawsbiochemical reactions

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    A Simple Method for Predicting a Molecule's Biological Properties From Its Polarity
    The distinction between very polar and less polar substances is a foundation of biochemistry, cell biology, and physiology; it surfaces in multiple concept inventories and elaborations of...

    Keywords: Diffusionsolubilitycovalent bondshydrophilichydrophobicpartition coefficientplasma membranepolarity

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    1989-Protopopescu-Santoro-Dockery-Combat modeling with partial differential equations
    We propose an extension of the classical modeling of combat via Lanchester equations to include one-dimensional spatial effects.

    Keywords: combatLanchester

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    Learning R for Biologists: A Mini Course Grab-Bag for Instructors
    As biology becomes more data driven, teaching students data literacy skills has become central to biology curriculum. Despite a wealth of online resources that teach researchers how to use R, there...

    Keywords: Rdata analysisRStudio

    2009

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    Teaching biostatistics using the Rule of Four
    A guide to helping intro bio students develop a deeper understanding of key statistical concepts by translating among numeric, graphical, verbal, and symbolic representations.

    Keywords: statisticsbiostatisticsintroductory biologyQuantitative reasoningBIOME 2022

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    2007-John_Jungck-Ten_Equations_that_Changed_Biology-Mathematics_in_Problem-Solving_Biology_Curricula The author
    These equations were selected upon the basis of wide-spread recognition of the value of the models.

    Keywords: biologyequationsten equations

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    1-035-DotseroVolcanoEruption-ModelingScenario
    In this scenario, we use Carbon-14 dating of the Dotsero volcano in Colorado as a way of emphasizing this multistage process of modeling.

    Keywords: exponential decayhalf-lifedecayEuler's methodcarbon datingdecay rateCarbon-14Dotsero volcanovolcano

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    2019-Zhu_EtAl-Partial_differential_equation_modeling_of_rumor_propagation
    This paper defines a spatial distance in online social networks by clustering and then proposes a partial differential equation model with a time delay.

    Keywords: social networksrumorpropogation

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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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    3-103-PullBackCars-ModelingScenario
    This activity offers analysis of a toy pull-back car: solution of a differential equation from model; data collection and parameter estimation; and adapting the model to predict maximum speed and...

    Keywords: modelingdynamicshands-ontoypull-back carpullback

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    Microbiology Data Problems 2023
    This project focuses on the use of data analysis problems to introduce students to specific topics in microbiology and to give them practice in the interpretation of figures and tables of data. ...

    Keywords: data analysisundergraduate educationmicrobiologyjournal articles

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    6-003-SchoolFluEpidemic-ModelingScenario
    We offer a model of the spread of flu in a school dormitory and are asked to find when the flu levels reach their peak and explain long term behavior of the spread of the flu.

    Keywords: infectionepidemicSIR modelflupeakschool children

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    6-004-VillageEpidemic-ModelingScenario
    Students are offered data from a plague epidemic that occurred in the middle of the seventeenth century in Eyam, a small English village. With only two assumptions offered to students they...

    Keywords: SIR modelsepidemicsusceptibleinfectiveremovedEyamEnglish village

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    1-001-MM-DeathAndImmigration-ModelingScenario
    We conduct a simulation of death and immigration, using a small set of "individuals", m&m candies or any two sided object (coin, chips), in which upon tossing a set of individuals we cause some to...

    Keywords: simulationimmigrationdeathSpanishdatsWinkelBrian Winkel

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    Distances in the Universe: An Inquiry Lab Sequence Taught in West Africa and North America
    Astronomy evokes deep curiosity for many people, making it a beautiful topic for supporting students to learn scientific practices and develop as scientists. We present an inquiry-based lab...

    Keywords: InquiryAstronomy labParallaxInverse-square law for lightCosmic distance ladderAsking investigable questions

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    An Original-Design Board Game to Increase Student Comprehension of Cellular Respiration Pathways
    Cellular respiration is a daunting topic for many students in introductory biology courses. Students are challenged at conceptual and factual levels, since instruction covers multiple metabolic...

    Keywords: GlycolysisCellular RespirationFermentationKrebs CycleOxidative phosphorylationpyruvate oxidation

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    Quantitative Reasoning Heatmap Assessment - Google Docs
    This tool for formative assessment provides a mostly anonymous way for students to consider their confidence with a variety of skills related to quantitative reasoning in biology. The product of...

    Keywords: Quantitative reasoningassessmentsmetacognitive

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    Real World Scenarios in Non-Majors Biology
    Students in non-majors’ biology courses may not choose careers that require biology content knowledge; however, all will encounter science in their lives. We redesigned a non-majors...

    Keywords: geneticsVaccinesScientific ProcessGMOsviruses

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    Advancing Global Learning Through a Collaborative Online International Learning (COIL) Module on the United Nations Sustainable Development Goals (UN SDGs)
    An increasingly interconnected world presents opportunities for globally relevant curricula in the classroom. Implementing collaborative online international learning (COIL) modules within...

    Keywords: Collaborative Online International LearningGlobal LearningPlants and SocietyUnited Nations Sustainable Development GoalsMedicinal PlantsPhytochemicalsPlant Natural Products

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