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    1-030-RandomPerturbation-TechniqueNarrative
    After a brief historical view of this problem, we will demonstrate the derivation of first order linear differential equations with random perturbations.

    Keywords: random perturbationBrownian motionLangevin equationRiemann-Steiltjes integralWiener processIto's calculus

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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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    Exploring Fitness and Population Change under Selection: Avida-Ed Lab Book Exercise 3
    An introductory activity exploring the process of natural selection in action using the Avida-ED simulation.

    Keywords: population geneticsfitnessavida-edsoftware simulationsSelectionevolutionary fitness

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    1-027-StochasticProcesses-ModelingScenario
    We build the infinite set of first order differential equations for modeling a stochastic process, the so-called birth and death equations. We will only need to use integrating factor solution...

    Keywords: VarianceMeanstochasticrandomoperations researchindustrial engineeringPoisson processtraffic

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    1-047a-CondensationOptimization-ModelingScenario
    We seek to optimize a condensation process which is modeled by a simulation using the random motion of 200 particles in a 50 by 50 square in which a particle bounces off the two vertical and top...

    Keywords: simulationdataoptimizationenergycondensationbest fitcostsum of scquare errors

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    1-046-GoingViral-ModelingScenario
    Students participate in a simulation of the spread of a viral disease in the classroom and model the process with a logistic differential equation. The simulation uses random numbers and the entire...

    Keywords: simulationmathematical modeldatalogisticrandom number generatorfittingrandom process

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    2014-Wang-EtAl-Estimating Mixed-Effects Differential Equation Models
    When multiple replicates of measurements are available for the dynamic process, it is of great interest to estimate mixed-effects in the ODE model for the process. We propose a semiparametric...

    Keywords: pharmacokineticsdynamic modelssmoothingsplinemixed-effects modelsHiV combination therapy

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    Diffusion Through a Cell Membrane
    This module introduces rates of diffusion in the context of understanding simple and facilitated diffusion through the cell membrane. It is intended for an introductory biology audience.

    Keywords: linear equationscalculushyperbolic equationsCellular Processesrates of change

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    Links to Avida-ED spreadsheets for Active LENS and BioQUEST 2018
    Avida-ED materials and resources for Active LENS and BioQUEST 2018.

    Keywords: avida-edSummer Workshop 2018

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    Java array and random number generator, hints
    Java, UTC, Fall 2017

    Keywords: videosjavabioinformaticsgenomicsyoutuberandom number generator

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    Furry with a chance of evolution: Exploring genetic drift with tuco-tucos
    Genetic drift is an important mechanism of evolution, yet undergraduates often fail to understand how it leads to evolutionary change due in part to its random nature. This lesson plan describes a...

    Keywords: EvolutionGenetic DriftBottle neckFounder effectRandom evolutionary processes

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    Introduction to Probability, Statistics, and Random Processes
    This site is the homepage of the textbook Introduction to Probability, Statistics, and Random Processes by Hossein Pishro-Nik.

    Keywords: textbookcurriculumcourseproblem setsolutions

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    Exploring Random Mutation and Selection: Avida-Ed Lab Book Exercise 2
    An introductory activity exploring the role of random mutation in natural selection using the Avida-ED simulation.

    Keywords: avida-edmutationsoftware simulationsSelectionvariation

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    GeoPhyl
    This Excel workbook allows students to explore evolution over space and time using published data on the invasive plant Tamarix (salt cedar).

    Keywords: Invasive SpeciesTamarixsalt cedarpermutation testrandom geographic distribution

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    Gender and Classroom Participation: A Case for Quantitative Analysis
    Teaching statistics to students using authentic research is one way to highlight the transferability and value of the material taught in the class. Below we describe an activity in Statistics for...

    Keywords: statisticsgenderpopulationProportionSampleEquality

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    Exploring the Lytic and Lysogenic Life Cycles of Bacteriophages
    The goal of this lesson is to introduce students to the lytic and lysogenic cycles of T4 and lambda bacteriophages, respectively, using student-centered pedagogies. Bacteriophages are viruses that...

    Keywords: bacteriophagesLysogenic cycleLysogenyLytic cycle

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    From Cre/LoxP to Fate Maps: Inclusive and Equitable Approaches for Engaging Developmental Biology Students in Experimental Design
    Engaging first generation underrepresented minority students in the process of inquiry in developmental biology is important to increase diversity in future graduate STEM education. One important...

    Keywords: experimental designC. elegansCre/LoxPFate mapheart developmentheart regenerationmousereporter constructzebrafish

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    Electron Location, Location, Location: Understanding Biological Interactions
    Introductory Biology courses typically introduce the structure and function of biomolecules such as proteins and nucleic acids. To understand biomolecules fully, students require knowledge of...

    Keywords: hydrogen bondshydrophobicity/hydrophilicitypolar and non-polar covalent bonds

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    2010-Jungck-EtAl-Mathematical Manipulative Models-In Defense of Beanbag Biology
    This paper offers up samples of projects from the Bio- QUEST Curriculum Consortium’s 24-yr experience of holding faculty development workshops for biology and mathematics educators.

    Keywords: epidemiologysimulationinfectious diseasedisease transmissiondiseasein-class activitybean bag activity

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    Harnessing the Power of the Immune System: Influenza Vaccines
    Because most people have been infected by and/or immunized against influenza, students should know how the immune system responds to the infection and how vaccines protect against disease. Vaccines...

    Keywords: VaccinesInfluenzaImmunizationVaccine efficacy

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