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    The Stomata Lab. What the past can tell us about our future - using fossil and modern plants to model atmospheric carbon dioxide
    Students will develop a mathematical model of the relationship between atmospheric CO2 and the number of stomata on a leaf (Stomata Index). They will evaluate the model graphically, statistically,...

    Keywords: introductory biologyQuantitative reasoninginterdisciplinaryclimate changeregressionEcology and EvolutionStomataNIQBC2. Data and GraphsC4. mathematical modelsC3. Statistical AnalysisSmithsonian

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    2008-Ratneesh_Suri-Optimal harvesting strategies for fisheries-differential equations approach
    We develop and investigate the harvesting model in both deterministic and stochastic settings. We first employ the Expected Net Present Value approach and determine optimal harvesting policy using...

    Keywords: optimal controlsustainable yieldmaximum sustainable yieldharvestExpected Net Present Valuecalculus of variationsdynamic programmingmaximum economic yield

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    2014-Brun-EtAl-An introduction to the mechanics of the lasso
    Here, we study the mechanics of the simplest rope trick, the Flat Loop, in which the rope is driven by the steady circular motion of the roper’s hand in a horizontal plane.

    Keywords: bifurcationmotionlassorod modelrodeo

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    1968-Wagner-Aghajanian-Bing-Correlation of performance test scores with tissue concentration of lysergic acid diethylamide
    This paper offers a two compartment model of lysergic acid diethylamide (LSD) in volunteer students and through parameter estimation models the amount of LSD in the tissue after its initial...

    Keywords: LSDcorrelation coefficientcompartment modellysergic acid diethylamideperformancetest scoretissue concentration

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    3-030-SecondOrderIntro-ModelingScenario
    We outline the solution strategies involved in solving second-order, linear, constant coefficient ordinary differential equations, both homogeneous and nonhomogeneous and offer many application and...

    Keywords: parameter estimationnon-homogeneousSpanishfrequencybuoyancyinverse problemthrustunderdampedfirst passagespring mash dashpotrealcomplexhomogeneoussuperpositionparachuteoverdampedcritically dampedbuoyquadratic equationrootsrocket flight

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    1-074-BottleWaterFlow-ModelingScenario
    We offer an experiment in which data is collected to ascertain a parameter in the differential equation formulation of Torricelli's Law for water flow.

    Keywords: bwaterTorricelli's Lawbottle

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    3-102-SpringMassDamped-ModelingScenario
    Students build a model based on their perceptions of what the solution should look like for a simple spring mass system with damping.

    Keywords: frequencymassoscillationstiffnessspring constantspring\dampedSingle Degree of Freedom Systemcoefficient

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    4-060-CircuitTuner-ModelingScenario
    We present essential definitions and laws for the study of simple RLC electrical circuits and build a differential equation model using these notions. We describe how such a circuit can be used to...

    Keywords: resistanceciircuittuned mass tunerfrequencyKirchhoffvoltagegainfrequency responseamplitudes Voltage LawinductancecapacitorI am currently working in redesining an existing microbiology course. I would like to be part of ed

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    MathBench: Biodiversity Assessment of Stream Biota
    The MathBench module, "The Case of the Missing Mountaintop" introduces students to the concept of biodiversity and measures used to quantify biodiversity and stream health. Students investigate the...

    Keywords: ecology labCommunity Ecologyenvironmental scienceconservation ecologyStream ecology

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    Navigating Bacterial Changes in Aging Organisms: Graphs, Patterns, and Models
    Aging is an incredibly important area of research, and recent biological advances implicate the intestines in aging pathologies. Given that the gut harbors an immense amount of an organism’s...

    Keywords: statisticsgraphingmathematics for life sciencesmathexponential growthPrecalculus

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    How Do Kidneys Make Urine From Blood? Qualitative and Quantitative Approaches to Filtration, Secretion, Reabsorption, and Excretion
    The function of the kidneys is to help maintain a constant internal environment (homeostasis) by regulating the volume and chemical composition of the blood. This regulation occurs via three...

    Keywords: collecting ductexcretionglomerular filtration rate (GFR)nephron tubulereabsorptionrenal corpusclesection

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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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    A Momentum-First Approach to Newton’s Second Law
    Students frequently struggle with seeing the connection between forces and motion in introductory physics. This lesson is part of a combined momentum and kinematics unit that first teaches...

    Keywords: group workMomentumNewton's Laws

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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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    A first lesson in mathematical modeling for biologists: Rocs
    Using a fictitious population of Rocs, a mythical species of giant raptor, students accomplish two broad objectives: 1) they undertake the process of building a first mathematical model of a...

    Keywords: population ecologypopulation modelingdiscrete generationpopulation management

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    Walkabout: An Easy to Use, Experiential Learning Activity for Applying Abstract Concepts to the Real-World
    Students can have difficulty recognizing examples of course concepts in the real-world. They particularly struggle with phenomena that are ambiguously defined, have mimics, or are hard to...

    Keywords: data gatheringgreen technologyobservations

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    Why Meiosis Matters: The case of the fatherless snake
    A compelling reason to learn something can make all the difference in students’ motivation to learn it.  Motivation, in turn, is one of the key attitudes that drives learning.  This story...

    Keywords: meiosismitosissex determinationAsexual reproductionParthenogenesis

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    Bacteria to Brains in Backyard Coyotes: An Interdisciplinary Pedagogical Case Study
    Our interdisciplinary pedagogical case study explores the differences between rural and urban coyotes at the levels of organismal and community ecology. The focus is on how coyotes’ gut...

    Keywords: dietanimal behaviorimmune systemmicrobiomeNervous systemgut-brain axisImmunoReachdysbiosisCoyoteCytokines

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    Cross-Course Public Health Project on Infectious Disease
    The need for collaborative, public health education has never been more important. Students increasingly require necessary skills in effectively communicating critical information to the general...

    Keywords: infectionpublic healthVaccinespathogenesisantibiotics

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    Escape Zoom!: Reviewing Introductory Evolution Content Using an Escape Room Format
    Reviewing and integrating key concepts and learning goals at the end of a biology course can be overwhelming to students and instructors alike. Often end-of-term review sessions in preparation for...

    Keywords: Evolutionartificial selectionSpeciationextinctionsexual selectionphylogenetic treesmechanisms of evolution

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