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    2010-Shianga-EtAl-Computational model of the human glucose-insulin regulatory system
    A computational model of insulin secretion and glucose metabolism for assisting the diagnosis of diabetes mellitus in clinical research is introduced. The

    Keywords: glucose tolerance testsum of squared residualsmultiple shooting methodcost function

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    3-015-StyrofoamBallFall-ModelingScenario
    We are given data on a falling Styrofoam ball and we seek to model this motion.

    Keywords: footballresistancegravityfalling bodysum of square errorsNewton's Second Law of Motionsum of forcesstyrofoam

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    8-002-TrigSumRepresentation-TechniqueNarrative
    Students discover how to represent functions as sums of trigonometric functions and the value of such representations in many fields. This is an introduction to the study of Fourier Series.

    Keywords: estimationTrigonometryTrigonometric Functionssum of square errorsfinite sumFourier seriesFouriere sumspectrumapproximatiopn

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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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    Chi-squared test of independence between two categorical variables
    In this lesson, students will have the opportunity to work through a chi-squared test of independence between two categorical variables.
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    1991-JR_Lobry-P_Flandois-Comparison of Monod's Growth Model Parameters from the Same Data Set
    The paper obtains the parameters in Monod's Growth model using a minimization of the sum of square errors with a given data set and obtains confidence intervals

    Keywords: Confidence intervalssum of square errorslinearizationgrowthModo Growth model

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    1994-Roland_Minton-A Progression of Projectiles-Examples from Sports
    There is a progression of complexity and issues in projectile motion modeling from no resistance, to resistance proportional to velocity, then to velocity squared,

    Keywords: sportsresistanceprojectilebaseballdraglinear resistancequadratic resistancetennis

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    Testing Goodness of Fit with the Chi-Square
    This is a MathBench module written for students to use in a self-study mode. It uses a narrative structure, humor, and everyday examples to step the learner through the mathematical principles...

    Keywords: Probabilitychi-squaredResources @ MathBench

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    Spreadsheet Tutorial 2 - Autofill Data, Cell References, and Standard Deviation
    Generate a table with autofill, and use absolute cell reference to calculate variance and standard deviation.

    Keywords: Resources @ HHMI - BioInteractiveScientific ProcessStatistics and MathScientific MethodologyHigh School

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    A Customizable Inquiry-Based Statistics Teaching Application for Introductory Biology Students
    Building strong quantitative skills prepares undergraduate biology students for successful careers in science and medicine. While math and statistics anxiety can negatively impact student learning...

    Keywords: introductory biologyQuantitative reasoningInclusive teachingauthentic inquiryInferential statisticsInstructional scaffolding

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    Evolution of Tusklessness in African Elephants
    The exploitation of African elephants in the form of ivory poaching is exacerbated by warfare. The affects of this anthropogenic evolutionary force on the African savanna elephant (Loxodonta...

    Keywords: Hardy-Weinbergchi-squaredEvolutionExponentsRatiospercentselephantsGorongosa National ParkAfricaqbccUnderstanding fractionsSolving Equations and InequalitiesConcepts in Statisticsusing statisticstusk & tusklessIvory poachingFractions and Mixed NumbersDecimals

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    Mendelian Genetics, Probability, Pedigree, and Chi-Squared Statistics
    A lesson that requires students to work through a series of questions pertaining to the genetics of sickle cell disease and its relationship to malaria.

    Keywords: geneticsResources @ HHMI - BioInteractiveScientific ProcessStatistics and Mathmendelian inheritance

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    SUMS4Bio - Video tutorials in math and stats for biology students
    Links to videos and pdf tutorials for core mathematical and statistical concepts used in biology

    Keywords: Probabilitystatisticsmathematicsvideoschi-squaredExcelBar Graphsline graphsScatter Plotsp-valuest-testsExponentsLogarithmsproportionsRatiosbinomialdata typessummary statisticsfrequency histogramsResources @ SUMS4BioPresentation

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    1984-W_Brunner-D__Focht-Deterministic Three-Half-Order Kinetic Model for Microbial Degradation
    The kinetics of mineralization of carbonaceous substrates has been explained by a deterministic model which is applicable to either growth or nongrowth conditions in soil.

    Keywords: kineticsnonlinear regressionsum of square errorsMonodlinearizemineralizationsubstratescarbonaceous

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    2015-Carl_Lutzer-Using Expected Value to Introduce the Laplace Transform
    We propose an introduction to the Laplace transform in which Riemann sums are used to approximate the expected net change in a function, assuming that it quantifies a process that can terminate at...

    Keywords: Expected ValueRiemann sumnet change

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    5-080-SpaceFlightRecolonize-ModelingScenario
    This project is a combination of differential equations, multi-variable calculus, and vector calculus with use of technology to model colonization of a new planet. Students solve a system of...

    Keywords: optimizationsum of square errorsvector calculusLagrange multipliersline integrals

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    REMNet Tutorial, Excel Part 4: Focusing on Taxonomy 4.26.19
    Video on analyzing microbiome data in Excel from the Research Experiences in Microbiomes Network

    Keywords: The Analysis of Biological DataExcelVideoMicrobiology Educationteaching with technologymicrobiomesSwirlresearch in the classroomREMNeturban microbiomes

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    Chi-Square analysis of two point test cross data
    This flash tutorial simulates analysis of a 2 point test cross and will walk you through the analysis of two hypothetical traits.

    Keywords: geneticssimulationchi-squaredlinkagetest crossrecombinationdemonstrationin-class activityproblem set

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    1999-Khorasheh-Ahmadi-Gerayeli-Application of Direct Search Optimization for Pharmacokinetic Parameter Estimation
    For simple pharmacokinetic compartmental models, analytical solution to the governing differential equations provide a mean to evaluate the associated rate constants. Such methods, however, can not...

    Keywords: sum of square errorsleast squarespharmacokineticslineteicscompartmental modelsdirect search

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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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