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    Pain Medication Treatment Modeling Project
    This classroom modeling project applies mathematical techniques to solve a problem related to drug dosage patterns. Suitable for high school or undergraduate students. Prerequisite: Calculus I.

    Keywords: Mathematical Biologycalculusexponential decayrecursionabsorptionelimination

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    2015-Valerie_Billard-Pharmacokinetic-pharmacodynamic relationship of anesthetic drugs - from modeling to clinical use
    The purpose of this short review is to describe the basis of pharmacokinetics and modeling, the concentration-effects relationship, and drug interactions modeling to offer to anesthesiologists and...

    Keywords: anesthesiapharmacokineticspharmacodynamicanesthetic

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    1994-Paul_Davis-Asking Good Questions about Differential Equations
    A general essay about the Rule of Three – numerical, algebraic, and graphical perspectives + modeling with one illustration about Irish population.

    Keywords: questionspopulationnumericalphysical contextgraphicalalgebraicIreland

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    3-027-BobbingDropping-ModelingScenario
    We present two exercises in which we ask students to model (1) falling object experiencing terminal velocity and (2) bobbing block of wood in liquid. We model the motion using Newton's Second Law...

    Keywords: drug resistancedirectedbuoyancyfree fallstatic equilibriumdisplacement

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    1-036-NeutralBuoyancy-ModelingScenario
    An object may hang suspended at, say, ten foot depth in a column of water if at ten feet underwater the density of the object equals the density of water. We study this phenomenon

    Keywords: DensitybuoyancyArchimedes’ Principlefloatneutral buoyance

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    What’s the DEAL – The Digital Encyclopedia of Ancient Life and Digital Atlas Apps
    The Digital Encyclopedia of Ancient Life and Digital Atlas Apps -- identify fossils and explore diversity and history of life on earth.

    Keywords: phylogeneticsdigital resourcesfossilspaleontologyevolutionary biologytaxonomyeduappsnatural history collections3D modelsgeologyopen textbookdigitized natural history collectionsencyclopediaatlasCretaceous World TCNPaleo Niches TCNvirtual teaching collectionFossil field guide

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    Bad Science: Exploring the unethical research behind a putative memory supplement
    As members of society, students must be able to evaluate scientific claims across a wide variety of media to make sound decisions about health and wellness. However, students - and most members of...

    Keywords: bioethicsevaluationPseudoscienceRecognizing bad scienceScience process skills

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    The Lecture-Free Classroom: Teaching students backward design and Bloom's Taxonomy to create their own learning environment
    We describe Presentation Enhanced Learning (PEL), a flexible, lecture-free, field-tested teaching format to promote problem-based, active learning in upper-division or graduate biological sciences...

    Keywords: active learningbackward designProblem based learningBloom's Taxonomy

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    5-090-SolidParticleErosion-ModelingScenario
    By applying Newton's second law, and making a collection of reasonable assumptions, students will derive a system of differential equations that model the path of a rigid particle as it gouges...

    Keywords: classical mechanicssolid mechanicsNewton's Laws of Motionrigid bodyplasticitypittingductile surface

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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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    1-145-FastPitch-ModelingScenario
    We consider the problem of comparing pitch velocities using measurement methods in different eras of baseball.

    Keywords: Measurementresistanceair resistancebaseballpitcherfast

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    4-039-FallingDarts-ModelingScenario
    we develop, solve, and analyze a second order differential equation model for free fall incorporating air resistance. Students solve the model using two methods -- reduction of order and...

    Keywords: optimizationresistanceterminal velocitymuzzle velocitydrag coefficientfree fallair drag

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    1-127-FishHarvesting-ModelingScenario
    We offer students a harvesting model for operating a fishery over a 25 year horizon and ask them to write a report on optimal harvesting policy with their analyses for fishing industry experts (not...

    Keywords: Management Of Dataoptimal controlfisherieslogisticharvestingmaximum sustainable yield

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    3-099-PullBack-ModelingScenario
    We guide students through the development of an empirical model for the velocity and distance traveled of a simple pull-back toy. Students can record videos and extract data using their own...

    Keywords: dynamicspull-back toy

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    Parabolas Everywhere?
    In this lesson students will use mathematical models to describe real-world objects and to gain better understanding of quadratic functions.
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    Case Study — World records as measures of senescence or randomness
    This is a project meant to accompany the Case Study that Carl Bergstrom, which uses R to explore whether declining track and field world record performance could be an artifact of sample size (less...

    Keywords: RRStudioprogrammingsampling distributionProbability & Statisticsrandomnesscontinuous probability distribution

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    2012-Transtrum-Qiu-Optimal experiment selection for parameter estimation in biological differential equation models
    We explore the question to what extent parameters can be efficiently estimated by appropriate experimental selection.

    Keywords: experimental designsystems biologyAssociation & Data Fittingreaction ratesdecay rates

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    2018-Nyanginja-Angwenyi-Musyoka-Orwa - Mathematical modeling of the effects of public health education on tungiasis
    In this paper, we formulate and study a mathematical model for the dynamics of jigger infestation incorporating public health education using systems of ordinary differential equations and...

    Keywords: diseaseendemicreproduction numbertungiasisjigger infestation

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    2018-Robert_Phair-Differential_equation_methods_for_simulation_of_GFP_kinetics_in_non–steady_state_experiments
    Here, we derive new tracer kinetic analytical methods for non–steady state biological systems by constructing mechanistic nonlinear differential equation models of the underlying cell biological...

    Keywords: protein quality controlkineticsCellssteady statechemical kineticsfluouresencephotoactivationinytracellular

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    Cladistic Analysis Lesson Using Bats
    Phylogenetic analysis can be a challenging concept to grasp for undergraduate biology students. This cladistic analysis lesson utilizes the amazingly diverse Order Chiroptera as a model to...

    Keywords: batsphylogeny and classificationVertebrate Morphologycladistic analysisbat evolution

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