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    7-020-ThermometerInVaryingTempStream-ModelingScenario
    We present a first order differential equation model for the temperature of a mercury thermometer which is sitting in a stream of water whose temperature oscillates. We suggest a solving strategy...

    Keywords: temperaturesteady statethermometerheat exchangetransfer functionphase lagInvers Laplace Transform

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    1-109-EmployeeAttrition-ModelingScenario
    This scenario models the loss of employees and the employer's attempt to retain them through stock options. It most naturally is solved with a first-order linear decay model with two populations.

    Keywords: populationlinear growthdecayemployeeattrition

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    Discrete Modeling and Structures (Course Materials)
    These are the materials for DCS course offered at Bates College. This is a sampler of structures and ways they are used to model biological and social phenomena.

    Keywords: labsagent-based modelingoctavematlabDiscrete Difference Equationsmatrix modelscoursezombiesbiomath courseeconomicsdemonstrationin-class activitylab protocolproblem sethamlet

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    Design a Zoo (Grades 6-8)
    This classroom lesson presents students with the job of designing a zoo, which could include modeling tasks ranging from choosing and locating the exhibits to setting the right admission prices.
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    Design a Zoo (Grades 3-5)
    This classroom lesson presents students with the job of designing a zoo, which could include modeling tasks ranging from choosing and locating the exhibits to setting the right admission prices.

    Keywords: unit costbudgetsdistance

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    Wolf Sheep Predation Simulation Exercise
    This resource is an exercise to introduce students to agent-based modeling of biological systems through working with a simple existing model.

    Keywords: simulationecologyIntroductoryNetLogoagent-based modelingagent-based modelLabbioinformaticspredator-preyUndergraduateNIBLSEInstructional SettingAudience LevelActivity LengthLess than 1 hoursimulation cycleC1. Role of bioinformaticsC6. ModelsReviewed at NIBLSEagent based modleing

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    Homologous chromosomes? Exploring human sex chromosomes, sex determination and sex reversal using bioinformatics approaches
    Constructing a robust understanding of homologous chromosomes, sex chromosomes, and the particulate nature of genes is a notoriously difficult task for undergraduate biology students. In this...

    Keywords: bioinformaticsautosomehomologous chromosomeshomologous recombinationsex chromosomesex determinationsex reversal mutations

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    SIMIODE Spring 2024 Webinars - Insightmaker
    We discuss the use of the FREE system dynamics software Insightmaker (https://insightmaker.com/) in a first course in Ordinary Differential Equations (with a modeling emphasis).

    Keywords: modelingsimulationSoftwarepythonsystemsInsightMakerflowCategory Theorystockstock-flow

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    2017-Fred_Adler-Mathematically Modeling Asthma
    Our Asthma models have examined how a viral infection can tip the immune system into a different state, with the potential to predispose an individual to future asthma

    Keywords: infectionasthmaimmune responserhinovirus

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    2011-GA_Koch-Noble-Drugs in the Classroom Using Pharmacokinetics to Introduce Biomathematical Modeling
    By beginning with simple model involving the half-life of a drug, students take advantage of their mathematical abilities to explore the biology.

    Keywords: Biomathematicspharmacokinetics

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    2006-Wilensky-Reisman-Thinking Like a Wolf a Sheep or a Firefly
    We describe a computation-based approach that enables students to investigate the connections between different biological levels using agent-based, embodied modeling tools.

    Keywords: simulationNetLogopredator-preyagent-basedwolffox

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    1-038-Ebola-ModelingScenario
    Students will use data published by the World Health Organization to model the 2014 outbreak of the Ebola virus in West Africa. We begin with a simple exponential growth model and move through the...

    Keywords: population dynamicsdata analysisexponential growthEbolalogisticepidemic

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    Teaching Advanced Concepts in Regulation of the Lac Operon With Modeling and Simulation
    Success in biochemistry and other life science courses requires that students understand important biological concepts. One of these concepts is how gene regulation ensures that homeostasis is...

    Keywords: gene regulationinducible operonProkaryotic cellPhosphoenolpyruvate transferase system (PTS)

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    Instructor Solutions Second Edition SIMIODE Textbook HTML Version
    This is material we make available for instructors teaching a modeling-first approach to differential equations when using the Second Edition of SIMIODE Textbook, Differential Equations: A Toolbox...

    Keywords: textbookhtmlSIMIODE textbookSecond Edition

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    2017-D_Goulet-Modeling, Simulating, and Parameter Fitting of Biochemical Kinetic Experiments
    In many chemical and biological applications, systems of differential equations containing unknown parameters are used to explain empirical observations and experimental data. The differential...

    Keywords: optimizationBiochemistrysensitivity analysischromatographymass actioncluster analysisconservation lawsdimerizationestrogen receptor protein

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    2016-Starling-EtAl-Local Brewery - A Project for Use in Differential Equations Courses
    We describe a modeling project designed for an ordinary differential equations (ODEs) course using first-order and systems of first-order differential equations to model the fermentation process in...

    Keywords: BEERFermentationbrewery

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    2008-Abramson-Mathematical modeling of the spread of infectious diseases
    These are informal notes, mostly based on the bibliography listed at the end and on recent papers in the field. The practical use of these models is based on the fact that they can be kept...

    Keywords: infectious diseasebibliographyepidemiccowpoxsmallpoxcomplex networksspread disease

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    2014-Yahdi-EtAl-Modeling and Sensitivity Analysis of the Role of Biodiversity to Control Pest Damage in Agroecosystems
    The paper provides a mathematical framework for cost-effective and environmentally safe strategies to minimize alfalfa damage from pests in alfalfa agroecosystems with optimal biodiversity levels.

    Keywords: sensitivity analysispredatorsteady statealfalfaShannon diversity indexplant herbivore

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    2011-Radouane_Yafia-A Study of Differential Equations Modeling Malignant Tumor Cells in Competition with Immune System
    In this paper, we present a competition model of malignant tumor growth that includes the immune system response. The model considers two populations: immune system (effector cells) and population...

    Keywords: Immunologytumorhopf bifrucation

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    2011-Kenny_Harwood-Modeling a RLC Circuit Current with Differential Equations
    This paper gives an abbreviated description of the photovaltaic effect (solar power production process) and then a RLC circuit will be modeled that is powered by a photovaltaic panel.

    Keywords: tuningfrequency responseLC circuitRLC

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