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    2016-Langtangen-Pedersen - Scaling of Differential Equations
    Nowadays, the greatest practical benefit of scaling is related to running numerical simulations, since scaling greatly simplifies the choice of values for the input data and makes the simulations...

    Keywords: scalingdimensionlesscontinuum mechanics

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    2012-Brian_Ingalls-Mathematical Modelling in Systems Biology An Introduction
    This is a comprehensive text with much biology background to motivate the mathematical modeling, exercises and answers, and many rich examples.

    Keywords: spatialsensitivity analysisgene regulatory networksstochasticbifurcationmetabolic networkselectrophysiologytransductionrate lawsbiochemical reactions

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    1999-Leonid_Hanin-Which tank empties first
    Suppose that water towers like those shown in the opening are initially filled with water and have the same volume, height, and cross-sectional outlet area. Which one empties first?

    Keywords: tankTorricelli's Lawspherical tankemptyfrustrum of conecylinder

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    Integrating the modeling of biogeochemical cycles and energy flow
    This in-class activity challenges students to create and then integrate models of how carbon, nitrogen, water and energy all move within an ecosystem. Using 15 provided standard pools, they work...

    Keywords: modelingecologyintegration4DEE FrameworkBiogeochemical cycles

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    A Simple Method for Predicting a Molecule's Biological Properties From Its Polarity
    The distinction between very polar and less polar substances is a foundation of biochemistry, cell biology, and physiology; it surfaces in multiple concept inventories and elaborations of...

    Keywords: Diffusionsolubilitycovalent bondshydrophilichydrophobicpartition coefficientplasma membranepolarity

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    1968-Wagner-Aghajanian-Bing-Correlation of performance test scores with tissue concentration of lysergic acid diethylamide
    This paper offers a two compartment model of lysergic acid diethylamide (LSD) in volunteer students and through parameter estimation models the amount of LSD in the tissue after its initial...

    Keywords: LSDcorrelation coefficientcompartment modellysergic acid diethylamideperformancetest scoretissue concentration

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    2018-Chris McCarthy-Newtons Law of Cooling
    You have hot water (initial temperature ) in a container, say a cup or glass. The temperature in the room is cooler, say a constant degrees Celsius. Come up with a differential equation that models...

    Keywords: datawaterNewton's Law of Coolingcooling

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    2015-European_Bioinformatics_Institute-Bio-Models-Database
    Bio Models Database is a repository of computational models of biological processes. Models described from literature are manually curated and enriched with cross-references. All models are...

    Keywords: biologydatabasebioinformaticsModelscomputational models

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    2013-Brian_Winkel-Reflecting_On_Walls
    We reflect on our passion for teaching mathematics, useful mathematics, by considering our understandings of just what a wall is and what a wall means to us.

    Keywords: mathematicsmathematical modellearningcell wall

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    2016-Simon_Malham-Differential_Equations_and_Linear_Algebra
    This is a nice set of notes on which a course can be based. There is ample material on first and second order, linear systems, and Laplace Transform methods for setting up and solving differential...

    Keywords: textbooklinear algebraLaplace transform

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    2014-William_Trench-Elementary_Differential_Equations-Books_and_Monographs
    This is the most widely cited and referenced free online text for differential equations and is very complete. These two books are exactly what they say they are.

    Keywords: differential equationstextbook

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    2020-Stepien_Kostelich_Kuang-Mathematics Cancer An Undergraduate Bridge Course in Applied Mathematics
    Most undergraduates have limited experience with mathematical modeling. This paper describes a course on the mathematical models of cancer growth and treatment.

    Keywords: differential equationsmodelingundergraduate educationcancertumor

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    Bringing Pasteur Back to Life: Studying the Biochemistry of Yeast Fermentation Through Discussion Groups and an At-Home Lab
    This hands-on, student-centered biochemistry lesson introduces beginner biochemistry students to the techniques of effectively reading and discussing primary literature, identifying fundamental...

    Keywords: primary literatureexperimentationyeastMetabolismFermentationRespirationequilibrium

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    Go Extinct! An Award-Winning Evolution Game That Teaches Tree-Thinking as Students Pursue the Winning Strategy
    Evolutionary trees communicate both the diversity and unity of life, a central and important scientific concept, as highlighted by the Vision and Change undergraduate biology education movement....

    Keywords: phylogeneticsnatural historyBiodiversitycladogramCommon ancestorEvolutionary treeLand vertebratesMonophyletic cladeTetrapods

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    Sanger Sequencing by Hand: Using Paper Clips to Demonstrate Chain Termination
    Sanger sequencing is commonly taught with a hands-on approach. Sanger sequencing involves chain termination by dideoxynucleotides, because they are missing the oxygen on the 3’ carbon atom,...

    Keywords: nucleotidessequencingDNAgel electrophoresisChain Termination

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    Distances in the Universe: An Inquiry Lab Sequence Taught in West Africa and North America
    Astronomy evokes deep curiosity for many people, making it a beautiful topic for supporting students to learn scientific practices and develop as scientists. We present an inquiry-based lab...

    Keywords: InquiryAstronomy labParallaxInverse-square law for lightCosmic distance ladderAsking investigable questions

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    Access to Public Parks, Drinking Fountains, and Clean Public Drinking Water Across Income Brackets in the Bay Area
    Access to green space and clean drinking water can be unequally distributed in urban spaces, often associated with income inequality. Little is known about public drinking water and green space...

    Keywords: clean drinking water

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    Effects of Airport Runoff Pollution on Water Quality in Bay Area Sites Surrounding San Francisco and Oakland Airports
    Airports contribute to pollution through point source and non point source pollution, which can have a negative effect on water quality and aquatic life. The purpose of the study was...

    Keywords: water quality

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    Human Activity and Soil Hostility
    The composition of soil can be broken down to a mixture of both abiotic and biotic matter. This composition can include animal waste, minerals, water, and even air. The complex nature of soil...

    Keywords: soil science

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    The Effect of Different Fertilizer Treatments on the Sprouting Time and Growth of Cosmos seeds, seeds of the genus Myosotis Forget-Me-Not seeds, and Cruciferae Brassica nigra Mustard seeds
    During the past decade, climate change has become an important topic. A few ramifications include an excess amount of carbon dioxide and rising temperatures. It is predicted that ecosystems may...

    Keywords: agriculture

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