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The QUBES platform hosts hundreds of teaching materials, reference materials, and cloud-based software free to use and adapt using open Creative Commons licenses.

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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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    Can people afford safe drinking water? A discussion on water as a human right with Dr. Jess Goddard.
    Water researcher Jess Goddard holds talked to us about her incredibly important research on measuring water affordability as a human right. Safe drinking water impacts over 2 billion people and, in...

    Keywords: human rightsWater affordability

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    7-011-CoupledSystemLaplace-ModelingScenario
    Differential equations and Laplace transforms are an integral part of control problems in engineering systems. We consider a baby warming device.

    Keywords: transfer functionpolycarbonatebaby heatercoupled systemheating

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    5-010-MatrixExponential-TechniqueNarrative
    The matrix exponential is a powerful computational and conceptual tool for analyzing systems of linear, constant coefficient, ordinary differential equations (ODE's). This narrative offers a quick...

    Keywords: matrix esponentialPutzer's Algorithmdiagonalizationeigenvalueseigenvectors

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    6-016-PandemicModeling-ModelingScenario
    The recent coronavirus outbreak has infected millions of people worldwide and spread to over 200 countries. How can we use differential equations to study the spread of coronavirus?

    Keywords: population dynamicsinfectious diseasediseaseEbolaeSIR modelsCOVID19pandemicepidemicreproduction number

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    6-018-ExploringSIRModel-ModelingScenario
    Students will transform, solve, and interpret Susceptible Infected Recovered (SIR) models using systems of differential equation models. The project is progressively divided into three parts to...

    Keywords: population dynamicssensitivitydiseaseSIR modelsepidemicrumors

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    How amphibians are impacted by Chytridiomycosis with Keely Rodriguez
    Keely Rodriguez is a Ph.D. student at the University of Nevada Reno in the Ecology, Evolution, and Conservation Biology department. In this interview, Keely discusses her background and her...

    Keywords: Disease ecologyamphibians

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    How does increasing atmospheric carbon dioxide disrupt ecological systems? Results from FACE experiments across the globe.
    This module synthesizes key findings from forested CO2 enrichment experiments over the last 3 decades. Students should have a basic working knowledge of climate change, ecosystem nutrient cycles...
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    Successful Strategies for Promoting Change in Undergraduate Biology Departments
    Poster on PULSE workshops presented at the 2019 BioQUEST & QUBES Summer Workshop

    Keywords: professional development2019 QUBES/BioQUEST Summer WorkshopPULSE

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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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    Nastic Movements in Plants
    This module introduces an osmotic model in the context of understanding plants' capability of rapidly adapting to changes in their environment. It is intended for an introductory biology audience.

    Keywords: plant physiologyhyperbolic equationsOpenStaxinterpreting modelsnastic movements

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    Sizes of Organisms: The Surface Area to Volume Ratio
    This module introduces surface area-volume ratio in the context of understanding the limits or constraints on organism size. It is intended for an introductory biology audience.

    Keywords: RatiosstructureSurface AreabiomechanicsGeometryFunctionsVolumeOpenStax

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    Water Movement through a Membrane: The Van't Hoff Equation
    This module introduces the van't Hoff equation in the context of understanding the metabolic activity of the epithelial cells lining the stomach. It is intended for an introductory biology audience.

    Keywords: AlgebraInequalitiesCellular Processes

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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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    Islands as a Tool for Teaching Ecology and Evolution
    Module for Ecology & Evolution course covering island biogeography principles, The scientific process and hypothesis testing, statistical methods (t-tests, regression), and online database use...

    Keywords: moduleResources @ AIM-UP!species richnessBiodiversityIsland biogeographyAIM-UP

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    Regulation Across Scales: Data Points Icebreaker Jigsaw
    Students examine regulation at cellular, physiological, and ecological scales in a data-based jigsaw to explore how double-negative logic operates across biological systems. This was used as a...

    Keywords: pathwaysgene regulationtrophic cascadesregulationcross-scalecholesterol synthesisLac OperonYellowstone

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    Introduction to Mathematical Modeling in Biotechnology, Cell Biology, and Physiology
    The course is a mathematical and computational exploration of five diverse areas of biology: human locomotion, gene sequence analysis, signal transduction pathways involved in cancer,...

    Keywords: mathematical modelingcoursehuman locomotionneuroanatomyneurophysiologysignal transductiongene sequence analysis

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    Introductory Science and Mathematics Education for 21st-Century Biologists
    A unified introductory science curriculum that fully incorporates mathematics and quantitative thinking aimed to incorporate biology into the traditional quantitative cultures that have come to...

    Keywords: mathematicsquantitativemathQuantitative reasoningquantitative biologymathsintro mathintroductory mathintroductory mathematicsquantmath for biomath for biologymath forResources @ QUBES - Teaching & Reference

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    Regulating Carbon Emissions
    Learn how to incorporate these teaching materials into your class. Find out what's included with each module. Learn how it can be adapted to work in your classroom.

    Keywords: climate changeenvironment

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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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