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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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    2011-W_Wood-Squigonometry
    The differential equations used to define a unit circle, namely x’(t) = - y(t), y’(t) = x(t), x(0) = 1, y(0) = 0 are generalized to produce interesting functions which...

    Keywords: TrigonometryTrigonometric Functionsparametric equationscirclesinecosinesquigonometryinverse function

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    Teaching Protein Structure Modeling
    New strains of microbes have been regularly discovered and brought into a laboratory for study in many different directions. When a new microbial genome is sequenced and assembled, the homologues...

    Keywords: Microbiology Educationbioinformaticsprotein structure modeling

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    2018-Dyjuan_Tatro-The_Mathematics_of_Cancer-Fitting_Gompertz_Equation_to_Tumor_Growth
    Fitting the Gompertz Model to long term breast cancer study data, this project ascertains gompertzian parameters that can be used to predicts tumor growth as a function of time.

    Keywords: tumorgrowthGompertzfittingparameter

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    Curvature and Maximum Permissible Speeds
    In this activity students will compute the curvature of a section of commuter rail and use it to determine a safe speed at which a train should can round the corner without tipping or derailing....

    Keywords: data analysiscalculusnumerical approximationengineeringcalculus 3transportation

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    1-089-SpreadOfDisease-ModelingScenario
    In this project I want to use the algebra based concept “difference quotient” to solve differential equations models with the help of Excel. That means even students with only a College Algebra...

    Keywords: SIR modelProportionderivativedifference quotientSleeping Beautycontagious disease

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    Evidence of Evolution Homologous Structures
    Using CT (Computed Tomography) scans of vertebrate forelimbs, both as 3D models and as shapefiles, to enhance and illustrate the concepts of homologous structures, and the evolution of anatomical...

    Keywords: EvolutionidigbioZoology3D modelsanatomy and physiologyMiddle SchoolVertebrate MorphologyCT scanoVerthomologous structures

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    Birds and Lice: Reciprocal Natural Selection
    This exercise investigates the form and function of lice and their relationship to their bird host.

    Keywords: BiodiversityparasitesbirdsCoevolutionnatural history collections

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    Build-a-Phage Lab Manual
    This is a lab manual for phage genome synthesis that includes both Building Block synthesis and Semi-synthetic assembly.
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    Cystic Fibrosis Mechanism and Treatment
    This animation shows how mutations in an ion channel protein lead to the genetic disease cystic fibrosis. The animation also discusses how research on this protein has been used to develop...

    Keywords: Resources @ HHMI - BioInteractiveBiochemistrymacromoleculesGenetic diseaseCell Structure & Function

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    Investigating Enzyme Structure and Function Through Model-Building and Peer Teaching in an Introductory Biology Course
    A foundational knowledge of the relationship between structure and function is critical to understanding how enzymes work. The seemingly invisible nature of these molecular interactions makes it...

    Keywords: structure-functionEnzymeallosteric regulationcompetitive inhibitionfeedback inhibitionnoncompetitive inhibitionproductsubstrate

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    2012-Nokkaew-EtAl-Estimation of Algae Growth Model Parameters by a Double Layer Genetic Algorithm
    This paper presents a double layer genetic algorithm (DLGA) to improve performance of the information-constrained parameter estimations.

    Keywords: optimizationalgae growthgenetic algorithmssimulated dataconvergence of parameters

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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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    2020-TeachingModule-SpringDesignToMeetSpecsAtMinimumCosts
    We discuss a Modeling Scenario in which students are asked to design a spring mass system at minimum costs give relative costs of features of the spring.

    Keywords: moduleoptimizationspring massmassspring\costTeaching Moduleminimal cost

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    2020-TeachingModule-ModelingFallingColumnOfWater
    We discuss how to model a falling column of water empirically and analytically from first principles in physics laws.

    Keywords: modulecolumn of waterTorricelli's LawTorricelliTeaching Module

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    Quantifying Bacterial Growth in the Guts and Hemolymph of Fruit Flies: Mathematical Modeling and Data Interpolation/Extrapolation
    In this activity, students will analyze raw data obtained from an experiment that explores the effect of overexpressing the Ssk protein in order to strengthen the intestinal barrier and prevent...

    Keywords: graphingexponential growthlinear modelsqbccinterpolationConcepts in Statistics and Precalculus Understanding exponential rates and linear slopesExtrapolation

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    AVIDA exercise on the role of mutation in evolution
    A tested exercise at the college freshmen level using AVIDA-Ed to generate and test a hypothesis about the relationship between mutation rate and the probability of evolving a useful function in...
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    Transpiration
    In this lab, students will examine differences between C3 and C4 plants in their transpiration rates.

    Keywords: plant physiologybotanylaboratoryResource Type

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    Seed Dispersal in Tropical Forests
    In this activity, students use data from published studies to understand patterns of seed dispersal and apply these ideas to the design of a conservation area.

    Keywords: ecologyResources @ HHMI - BioInteractivecommunityplantsdiversityScientific Process

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    2023-Roberto_Camassaa-Richard_McLaughlina-Tauberian identities and the connection to Wile E Coyote physics
    The application of the motion of a vertically suspended mass-spring system released under tension is studied focusing upon the delay timescale for the bottom mass as a function of the spring...

    Keywords: HangtimeTauberian IdentitiesRoad RunnerWile E. Coyote

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