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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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    Taking the Hassle out of Hasselbalch
    Mention pH in a classroom and you can almost see the inner yawn on the faces of your students. The definition may even roll easily from their lips. However, despite multiple exposures to the...

    Keywords: pHdrug uptakeHenderson-Hasslbalch equationmedical applicationspKa

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    Implicit Bias in Data Visualization (BIOME 2022 presentation)
    We want to build cooperative spaces where students can improve the quality of their work in iterative ways. However, are we sure that students will rate each other in unbiased ways. We will take...
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    Enzymes and the Rate of Chemical Reactions
    This module introduces rates of reactions in the context of understanding how enzymes affect chemical reactions. It is intended for an introductory biology audience.

    Keywords: calculushyperbolic equationsCellular Processesrates of change

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    2009-Das-EtAl-Bioeconomic harvesting of a pre-predator fishery
    This paper deals with the problem of non-selective harvesting of a prey–predator system by using a reasonable catch-rate function instead of usual catch-per-unit-effort hypothesis.

    Keywords: predator-preyharvestingPontryagin’s maximum principlebioeconomicbionomic equilibriumbiotechnical productivitycatch-rate functionoptimal equilibrium

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    2005-DieboldEtAl-Modeling Bond Yields In Finance And Macroeconomics
    From a macroeconomic perspective, the short-term interest rate is a policy instrument under the direct control of the central bank. From a finance perspective, long rates are risk-adjusted averages...

    Keywords: financeinterest ratebond yieldmacroeconomics

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    1957-Axelrod_ Brady_Witkop_Evarts-The Distribution and Metabolism of Lysergic Acid Diethylamide
    The development of a specific and sensitive method for the estimation of LSD in biological materials has enabled us to study the tissue distribution, excretion, rate of biotransformation, and...

    Keywords: mathematical modeldataLSDMetabolismbloodstreamlysergic acid diethylamidedistribution

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    7-040-TankInterruptMixing-ModelingScenario
    We present a first order differential equation model for the interrupted mixing of a tank with salt water. We offer two solution strategies (1) two step approach and (2) Laplace Transforms.

    Keywords: Laplace transforminverse Laplace Transformsalttankmixinginterrupt

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    Cardiac Output
    This module introduces Fick's principle in the context of understanding the cardiac output. It is intended for an introductory biology audience.

    Keywords: linear regressionproportionslinear equationsOpenStaxAnimal Physiology

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    Type II Functional Response: Holling’s Disk Equation
    This module introduces the Holling’s disk equation in the context of understanding the relationship between an individual's rate of consumption and food density. It is intended for an introductory...

    Keywords: ecologyHolling's Disk Equation

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    Cell Division and Rates of Population Growth
    This module introduces the exponential growth of cells in the context of understanding cell division. It is intended for an introductory biology audience.

    Keywords: exponential equationscell growth and divisionGeometric SeriesCell StructureOpenStaxgeometric equations

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    Gibb’s Free Energy and the Nature of Chemical Reactions
    This module introduces Gibb’s Free Energy in the context of understanding the nature of chemical reactions. It is intended for an introductory biology audience.

    Keywords: ExponentsLogarithmsRatiosexponential equationsSequencesCell StructureOpenStaxCell Growthgeometric equations

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    5-011-ModelingIbuprofren-ModelingScenario
    We consider modeling of data from a clinical experiment administered as oral doses of 400 mg ibuprofen, an analgesic pain reliever. Concentrations of ibuprofen in the serum/plasma of the subjects...

    Keywords: dataAICAkaike Information Criterionabsorptionsum of square errorscompartment modelibuprofendelay

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    1-085-DrugBolus-ModelingScenario
    Given data on the concentration of a drug in the plasma of a human in mg/L at certain time intervals in hours can we determine the rate at which the drug leaves the plasma as well as the initial...

    Keywords: concentrationsum of square errorsbolusdrugrate constantadminister

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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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    Science “Fails”: A Bank of Historical Examples for Learning From Failure in Science
    Learning from failure is critically important to the processes of scientific inquiry, discovery, and invention. However, students are not routinely taught how to reflect on, learn from, and...

    Keywords: metacognitionScience process skillsLearning from failurepower and privilegestudent wellbeing

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    Using Place-Based Economically Relevant Organisms to Improve Student Understanding of the Roles of Carbon Dioxide, Sunlight, and Nutrients in Photosynthetic Organisms
    Biology students require broad preparation for diverse careers including agriculture, natural resource management, and laboratory research. Concurrent with this need, employers are seeking...

    Keywords: energyphotosynthesisbiomass

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    2018-Franklin_Chen-Teaching Kinetics through Differential Equations Constructed with a Berkeley MadonnaTM Flow Chart Model
    This kinetics manual has been successfully implemented in Physical Chemistry at UW-Green Bay in the fall semester of 2017, with the students’ success rate greater than 80%.

    Keywords: kineticsPhysical ChemistryLotka Volterra equationsBerkeley Madonna platform

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    2010-Del-Ciello-EtAl-Modeling Disease
    We model the transmission of a disease through a population. Such modeling is very important to the study of epidemiology and the practice of medicine.

    Keywords: diseasespreadcarriessymptomaticasymptomatic

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    2004-Hill-Lozowski-Sampson-Experiments on ice spikes and a simple growth model
    We observed ice-spike growth using time-lapse digital photography, using two water types in two different containers.

    Keywords: iceice spikebulk heat transfermass conservation

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